xref: /petsc/include/petscmat.h (revision e5a36eccef3d6b83a2c625c30d0dfd5adb4001f2)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #ifndef __PETSCMAT_H
5 #define __PETSCMAT_H
6 #include <petscvec.h>
7 
8 /*S
9      Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
10            an explicit sparse representation (such as matrix-free operators)
11 
12    Level: beginner
13 
14   Concepts: matrix; linear operator
15 
16 .seealso:  MatCreate(), MatType, MatSetType(), MatDestroy()
17 S*/
18 typedef struct _p_Mat*           Mat;
19 
20 /*J
21     MatType - String with the name of a PETSc matrix type
22 
23    Level: beginner
24 
25 .seealso: MatSetType(), Mat, MatSolverType, MatRegister()
26 J*/
27 typedef const char* MatType;
28 #define MATSAME            "same"
29 #define MATMAIJ            "maij"
30 #define MATSEQMAIJ         "seqmaij"
31 #define MATMPIMAIJ         "mpimaij"
32 #define MATIS              "is"
33 #define MATAIJ             "aij"
34 #define MATSEQAIJ          "seqaij"
35 #define MATMPIAIJ          "mpiaij"
36 #define MATAIJCRL          "aijcrl"
37 #define MATSEQAIJCRL       "seqaijcrl"
38 #define MATMPIAIJCRL       "mpiaijcrl"
39 #define MATAIJCUSPARSE     "aijcusparse"
40 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
41 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
42 #define MATAIJVIENNACL     "aijviennacl"
43 #define MATSEQAIJVIENNACL  "seqaijviennacl"
44 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
45 #define MATAIJPERM         "aijperm"
46 #define MATSEQAIJPERM      "seqaijperm"
47 #define MATMPIAIJPERM      "mpiaijperm"
48 #define MATAIJSELL         "aijsell"
49 #define MATSEQAIJSELL      "seqaijsell"
50 #define MATMPIAIJSELL      "mpiaijsell"
51 #define MATAIJMKL          "aijmkl"
52 #define MATSEQAIJMKL       "seqaijmkl"
53 #define MATMPIAIJMKL       "mpiaijmkl"
54 #define MATBAIJMKL         "baijmkl"
55 #define MATSEQBAIJMKL      "seqbaijmkl"
56 #define MATMPIBAIJMKL      "mpibaijmkl"
57 #define MATSHELL           "shell"
58 #define MATDENSE           "dense"
59 #define MATSEQDENSE        "seqdense"
60 #define MATMPIDENSE        "mpidense"
61 #define MATELEMENTAL       "elemental"
62 #define MATBAIJ            "baij"
63 #define MATSEQBAIJ         "seqbaij"
64 #define MATMPIBAIJ         "mpibaij"
65 #define MATMPIADJ          "mpiadj"
66 #define MATSBAIJ           "sbaij"
67 #define MATSEQSBAIJ        "seqsbaij"
68 #define MATMPISBAIJ        "mpisbaij"
69 #define MATDAAD            "daad"
70 #define MATMFFD            "mffd"
71 #define MATNORMAL          "normal"
72 #define MATNORMALHERMITIAN "normalh"
73 #define MATLRC             "lrc"
74 #define MATSCATTER         "scatter"
75 #define MATBLOCKMAT        "blockmat"
76 #define MATCOMPOSITE       "composite"
77 #define MATFFT             "fft"
78 #define MATFFTW            "fftw"
79 #define MATSEQCUFFT        "seqcufft"
80 #define MATTRANSPOSEMAT    "transpose"
81 #define MATSCHURCOMPLEMENT "schurcomplement"
82 #define MATPYTHON          "python"
83 #define MATHYPRE           "hypre"
84 #define MATHYPRESTRUCT     "hyprestruct"
85 #define MATHYPRESSTRUCT    "hypresstruct"
86 #define MATSUBMATRIX       "submatrix"
87 #define MATLOCALREF        "localref"
88 #define MATNEST            "nest"
89 #define MATPREALLOCATOR    "preallocator"
90 #define MATSELL            "sell"
91 #define MATSEQSELL         "seqsell"
92 #define MATMPISELL         "mpisell"
93 #define MATDUMMY           "dummy"
94 #define MATLMVM            "lmvm"
95 #define MATLMVMDFP         "lmvmdfp"
96 #define MATLMVMBFGS        "lmvmbfgs"
97 #define MATLMVMSR1         "lmvmsr1"
98 #define MATLMVMBRDN        "lmvmbrdn"
99 #define MATLMVMBADBRDN     "lmvmbadbrdn"
100 #define MATLMVMSYMBRDN     "lmvmsymbrdn"
101 #define MATLMVMSYMBADBRDN  "lmvmsymbadbrdn"
102 #define MATLMVMDIAGBRDN    "lmvmdiagbrdn"
103 
104 /*J
105     MatSolverType - String with the name of a PETSc matrix solver type.
106 
107     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
108 
109    Level: beginner
110 
111 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
112 J*/
113 typedef const char* MatSolverType;
114 #define MATSOLVERSUPERLU          "superlu"
115 #define MATSOLVERSUPERLU_DIST     "superlu_dist"
116 #define MATSOLVERSTRUMPACK        "strumpack"
117 #define MATSOLVERUMFPACK          "umfpack"
118 #define MATSOLVERCHOLMOD          "cholmod"
119 #define MATSOLVERKLU              "klu"
120 #define MATSOLVERSPARSEELEMENTAL  "sparseelemental"
121 #define MATSOLVERELEMENTAL        "elemental"
122 #define MATSOLVERESSL             "essl"
123 #define MATSOLVERLUSOL            "lusol"
124 #define MATSOLVERMUMPS            "mumps"
125 #define MATSOLVERMKL_PARDISO      "mkl_pardiso"
126 #define MATSOLVERMKL_CPARDISO     "mkl_cpardiso"
127 #define MATSOLVERPASTIX           "pastix"
128 #define MATSOLVERMATLAB           "matlab"
129 #define MATSOLVERPETSC            "petsc"
130 #define MATSOLVERBAS              "bas"
131 #define MATSOLVERCUSPARSE         "cusparse"
132 
133 /*E
134     MatFactorType - indicates what type of factorization is requested
135 
136     Level: beginner
137 
138    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
139 
140 .seealso: MatSolverType, MatGetFactor()
141 E*/
142 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
143 PETSC_EXTERN const char *const MatFactorTypes[];
144 
145 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,MatSolverType,MatFactorType,Mat*);
146 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,MatSolverType,MatFactorType,PetscBool *);
147 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat,MatSolverType*);
148 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
149 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat,MatFactorType);
150 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType,MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
151 PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType,MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));
152 typedef MatSolverType MatSolverPackage PETSC_DEPRECATED("Use MatSolverType");
153 PETSC_DEPRECATED("Use MatSolverTypeRegister()") PETSC_STATIC_INLINE PetscErrorCode MatSolverPackageRegister(MatSolverType stype,MatType mtype,MatFactorType ftype,PetscErrorCode(*f)(Mat,MatFactorType,Mat*))
154 { return MatSolverTypeRegister(stype,mtype,ftype,f); }
155 PETSC_DEPRECATED("Use MatSolverTypeGet()") PETSC_STATIC_INLINE PetscErrorCode MatSolverPackageGet(MatSolverType stype,MatType mtype,MatFactorType ftype,PetscBool *foundmtype,PetscBool *foundstype,PetscErrorCode(**f)(Mat,MatFactorType,Mat*))
156 { return MatSolverTypeGet(stype,mtype,ftype,foundmtype,foundstype,f); }
157 
158 /* Logging support */
159 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
160 PETSC_EXTERN PetscClassId MAT_CLASSID;
161 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
162 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
163 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
164 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
165 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
166 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
167 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
168 
169 /*E
170     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
171      are to be reused to store the new matrix values.
172 
173 $  MAT_INITIAL_MATRIX - create a new matrix
174 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
175 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
176 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
177 
178     Level: beginner
179 
180    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
181 
182 .seealso: MatCreateSubMatrices(), MatCreateSubMatrix(), MatDestroyMatrices(), MatConvert()
183 E*/
184 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
185 
186 /*E
187     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
188      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
189 
190     Level: beginner
191 
192 .seealso: MatGetSeqNonzerostructure()
193 E*/
194 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatCreateSubMatrixOption;
195 
196 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
197 
198 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
199 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
200 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
201 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
202 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
203 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
204 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[],const char[],const char[]);
205 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
206 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
207 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
208 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
209 
210 PETSC_EXTERN PetscFunctionList MatList;
211 PETSC_EXTERN PetscFunctionList MatColoringList;
212 PETSC_EXTERN PetscFunctionList MatPartitioningList;
213 
214 /*E
215     MatStructure - Indicates if two matrices have the same nonzero structure
216 
217     Level: beginner
218 
219    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
220 
221 .seealso: MatCopy(), MatAXPY()
222 E*/
223 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
224 
225 #if defined PETSC_HAVE_MKL_SPARSE
226 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
227 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
229 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
230 #endif
231 
232 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
233 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
234 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat,PetscInt,const PetscInt[]);
235 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
236 
237 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
238 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
239 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
240 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
241 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
242 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
243 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm,Mat,Mat,const PetscInt[],Mat*);
244 
245 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
246 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
247 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
248 
249 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
250 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
251 
252 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
253 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
254 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
255 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
256 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
257 
258 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
259 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
260 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
261 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
262 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
263 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
264 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
265 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
266 
267 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
268 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
269 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
270 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
271 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
272 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
273 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
274 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
275 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
276 
277 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
278 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
279 
280 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
281 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
282 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
283 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat,Mat*);
284 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
285 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
286 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
287 
288 #if defined(PETSC_HAVE_HYPRE)
289 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
290 #endif
291 
292 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
293 
294 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
295 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
296 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
297 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
298 
299 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
300 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
301 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
302 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
303 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
304 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
305 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat,PetscInt,const PetscInt*,PetscScalar*);
306 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat,Mat);
307 
308 /* ------------------------------------------------------------*/
309 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
310 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
311 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
312 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
313 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
314 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
315 
316 /*S
317      MatStencil - Data structure (C struct) for storing information about a single row or
318         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
319 
320    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).
321    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.
322 
323    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
324 
325    Fortran usage is different, see MatSetValuesStencil() for details.
326 
327    Level: beginner
328 
329   Concepts: matrix; linear operator
330 
331 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
332 S*/
333 typedef struct {
334   PetscInt k,j,i,c;
335 } MatStencil;
336 
337 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
338 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
339 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
340 
341 /*E
342     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
343      to continue to add or insert values to it
344 
345     Level: beginner
346 
347 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
348 E*/
349 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
350 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
351 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
352 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
353 
354 
355 
356 /*E
357     MatOption - Options that may be set for a matrix and its behavior or storage
358 
359     Level: beginner
360 
361    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
362    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
363 
364    Developer Notes:
365     Entries that are negative need not be called collectively by all processes.
366 
367 .seealso: MatSetOption()
368 E*/
369 typedef enum {MAT_OPTION_MIN = -3,
370               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
371               MAT_ROW_ORIENTED = -1,
372               MAT_SYMMETRIC = 1,
373               MAT_STRUCTURALLY_SYMMETRIC = 2,
374               MAT_NEW_DIAGONALS = 3,
375               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
376               MAT_USE_HASH_TABLE = 5,
377               MAT_KEEP_NONZERO_PATTERN = 6,
378               MAT_IGNORE_ZERO_ENTRIES = 7,
379               MAT_USE_INODES = 8,
380               MAT_HERMITIAN = 9,
381               MAT_SYMMETRY_ETERNAL = 10,
382               MAT_NEW_NONZERO_LOCATION_ERR = 11,
383               MAT_IGNORE_LOWER_TRIANGULAR = 12,
384               MAT_ERROR_LOWER_TRIANGULAR = 13,
385               MAT_GETROW_UPPERTRIANGULAR = 14,
386               MAT_SPD = 15,
387               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
388               MAT_NO_OFF_PROC_ENTRIES = 17,
389               MAT_NEW_NONZERO_LOCATIONS = 18,
390               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
391               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
392               MAT_SUBMAT_SINGLEIS = 21,
393               MAT_STRUCTURE_ONLY = 22,
394               MAT_OPTION_MAX = 23} MatOption;
395 
396 PETSC_EXTERN const char *const *MatOptions;
397 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
398 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
399 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
400 
401 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
402 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
403 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
404 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
405 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
406 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
407 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
408 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
409 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
410 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
411 PETSC_EXTERN PetscErrorCode MatSeqAIJSetType(Mat,MatType);
412 PETSC_EXTERN PetscErrorCode MatSeqAIJRegister(const char[],PetscErrorCode (*)(Mat,MatType,MatReuse,Mat *));
413 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
414 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
415 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
416 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
417 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
418 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
419 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
420 PETSC_EXTERN PetscErrorCode MatDenseGetArrayRead(Mat,const PetscScalar *[]);
421 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayRead(Mat,const PetscScalar *[]);
422 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
423 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
424 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
425 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
426 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
427 PETSC_EXTERN PetscErrorCode MatSetVariableBlockSizes(Mat,PetscInt,PetscInt*);
428 PETSC_EXTERN PetscErrorCode MatGetVariableBlockSizes(Mat,PetscInt*,const PetscInt**);
429 
430 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat,PetscInt,PetscScalar *[]);
431 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat,PetscScalar *[]);
432 
433 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
434 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
435 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
436 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
437 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
438 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
439 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
440 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
441 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
442 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
443 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
444 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
445 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
446 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat,Mat,Mat);
447 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
448 
449 /*E
450     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
451   its numerical values copied over or just its nonzero structure.
452 
453     Level: beginner
454 
455    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
456 
457 $   MAT_DO_NOT_COPY_VALUES    - Create a matrix using the same nonzero pattern as the original matrix,
458 $                               with zeros for the numerical values.
459 $   MAT_COPY_VALUES           - Create a matrix with the same nonzero pattern as the original matrix
460 $                               and with the same numerical values.
461 $   MAT_SHARE_NONZERO_PATTERN - Create a matrix that shares the nonzero structure with the previous matrix
462 $                               and does not copy it, using zeros for the numerical values. The parent and
463 $                               child matrices will share their index (i and j) arrays, and you cannot
464 $                               insert new nonzero entries into either matrix.
465 
466 Notes:
467     Many matrix types (including SeqAIJ) do not support the MAT_SHARE_NONZERO_PATTERN optimization; in
468 this case the behavior is as if MAT_DO_NOT_COPY_VALUES has been specified.
469 
470 .seealso: MatDuplicate()
471 E*/
472 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
473 
474 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
475 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
476 
477 
478 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
479 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
480 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
481 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
482 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
483 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
484 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
485 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
486 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
487 
488 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
489 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
490 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
491 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
492 
493 /*S
494      MatInfo - Context of matrix information, used with MatGetInfo()
495 
496    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
497 
498    Level: intermediate
499 
500   Concepts: matrix^nonzero information
501 
502 .seealso:  MatGetInfo(), MatInfoType
503 S*/
504 typedef struct {
505   PetscLogDouble block_size;                         /* block size */
506   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
507   PetscLogDouble memory;                             /* memory allocated */
508   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
509   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
510   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
511   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
512 } MatInfo;
513 
514 /*E
515     MatInfoType - Indicates if you want information about the local part of the matrix,
516      the entire parallel matrix or the maximum over all the local parts.
517 
518     Level: beginner
519 
520    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
521 
522 .seealso: MatGetInfo(), MatInfo
523 E*/
524 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
525 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
526 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
527 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
528 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
529 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
530 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
531 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
532 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
533 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
534 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
535 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
536 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
537 
538 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
539 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
540 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
541 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
542 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
543 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
544 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
545 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
546 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat,PetscInt,PetscBool*);
547 
548 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
549 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
550 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
551 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
552 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
553 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
554 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
555 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
556 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
557 
558 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
559 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
560 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
561 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
562 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
563 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
564 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
565 
566 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
567 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);}
568 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
569 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);}
570 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
571 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
572 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
573 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);}
574 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
575 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
576 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
577 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
578 
579 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
580 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
581 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
582 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
583 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
584 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
585 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
586 
587 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
588 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
589 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
590 
591 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
592 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
593 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
594 
595 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
596 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
597 
598 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
599 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
600 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
601 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
602 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
603 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
604 
605 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
606 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
607 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
608 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
609 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
610 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
611 
612 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
613 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
614 
615 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
616 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
617 
618 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
619 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
620 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
621 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
622 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
623 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
624 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
625 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
626 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
627 
628 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
629 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
630 
631 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
632 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
633 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
634 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
635 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
636 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
637 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
638 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
639 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
640 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
641 
642 /*MC
643    MatSetValue - Set a single entry into a matrix.
644 
645    Not collective
646 
647    Synopsis:
648      #include <petscmat.h>
649      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
650 
651    Input Parameters:
652 +  m - the matrix
653 .  row - the row location of the entry
654 .  col - the column location of the entry
655 .  value - the value to insert
656 -  mode - either INSERT_VALUES or ADD_VALUES
657 
658    Notes:
659    For efficiency one should use MatSetValues() and set several or many
660    values simultaneously if possible.
661 
662    Level: beginner
663 
664 .seealso: MatSetValues(), MatSetValueLocal()
665 M*/
666 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
667 
668 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
669 
670 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
671 
672 /*MC
673    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
674        row in a matrix providing the data that one can use to correctly preallocate the matrix.
675 
676    Synopsis:
677    #include <petscmat.h>
678    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
679 
680    Collective on MPI_Comm
681 
682    Input Parameters:
683 +  comm - the communicator that will share the eventually allocated matrix
684 .  nrows - the number of LOCAL rows in the matrix
685 -  ncols - the number of LOCAL columns in the matrix
686 
687    Output Parameters:
688 +  dnz - the array that will be passed to the matrix preallocation routines
689 -  onz - the other array passed to the matrix preallocation routines
690 
691    Level: intermediate
692 
693    Notes:
694     See Users-Manual: ch_performance for more details.
695 
696    Do not malloc or free dnz and onz, that is handled internally by these routines
697 
698    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
699 
700    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
701 
702   Concepts: preallocation^Matrix
703 
704 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
705           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
706 M*/
707 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
708 { \
709   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ncols = (ncols),__rstart,__start,__end; \
710   _4_ierr = PetscCalloc2((size_t)__nrows,&dnz,(size_t)__nrows,&onz);CHKERRQ(_4_ierr); \
711   __start = 0; __end = __start;                                         \
712   _4_ierr = MPI_Scan(&__ncols,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ncols;\
713   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
714 
715 /*MC
716    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
717        inserted using a local number of the rows and columns
718 
719    Synopsis:
720    #include <petscmat.h>
721    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
722 
723    Not Collective
724 
725    Input Parameters:
726 +  map - the row mapping from local numbering to global numbering
727 .  nrows - the number of rows indicated
728 .  rows - the indices of the rows
729 .  cmap - the column mapping from local to global numbering
730 .  ncols - the number of columns in the matrix
731 .  cols - the columns indicated
732 .  dnz - the array that will be passed to the matrix preallocation routines
733 -  onz - the other array passed to the matrix preallocation routines
734 
735    Level: intermediate
736 
737    Notes:
738     See Users-Manual: ch_performance for more details.
739 
740    Do not malloc or free dnz and onz, that is handled internally by these routines
741 
742   Concepts: preallocation^Matrix
743 
744 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
745           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
746 M*/
747 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
748 {\
749   PetscInt __l;\
750   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
751   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
752   for (__l=0;__l<nrows;__l++) {\
753     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
754   }\
755 }
756 
757 /*MC
758    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
759        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
760 
761    Synopsis:
762    #include <petscmat.h>
763    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
764 
765    Not Collective
766 
767    Input Parameters:
768 +  map - the row mapping from local numbering to global numbering
769 .  nrows - the number of rows indicated
770 .  rows - the indices of the rows (these values are mapped to the global values)
771 .  cmap - the column mapping from local to global numbering
772 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
773 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
774 .  dnz - the array that will be passed to the matrix preallocation routines
775 -  onz - the other array passed to the matrix preallocation routines
776 
777    Level: intermediate
778 
779    Notes:
780     See Users-Manual: ch_performance for more details.
781 
782    Do not malloc or free dnz and onz, that is handled internally by these routines
783 
784   Concepts: preallocation^Matrix
785 
786 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
787           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
788 M*/
789 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
790 {\
791   PetscInt __l;\
792   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
793   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
794   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
795   for (__l=0;__l<nrows;__l++) {\
796     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
797   }\
798 }
799 
800 /*MC
801    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
802        inserted using a local number of the rows and columns
803 
804    Synopsis:
805    #include <petscmat.h>
806    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
807 
808    Not Collective
809 
810    Input Parameters:
811 +  map - the row mapping from local numbering to global numbering
812 .  nrows - the number of rows indicated
813 .  rows - the indices of the rows
814 .  cmap - the column mapping from local to global numbering
815 .  ncols - the number of columns in the matrix
816 .  cols - the columns indicated
817 .  dnz - the array that will be passed to the matrix preallocation routines
818 -  onz - the other array passed to the matrix preallocation routines
819 
820    Level: intermediate
821 
822    Notes:
823     See Users-Manual: ch_performance for more details.
824 
825    Do not malloc or free dnz and onz, that is handled internally by these routines
826 
827   Concepts: preallocation^Matrix
828 
829 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
830           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
831 M*/
832 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
833 {\
834   PetscInt __l;\
835   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
836   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
837   for (__l=0;__l<nrows;__l++) {\
838     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
839   }\
840 }
841 
842 /*MC
843    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
844        inserted using a local number of the rows and columns
845 
846    Synopsis:
847    #include <petscmat.h>
848    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
849 
850    Not Collective
851 
852    Input Parameters:
853 +  map - the mapping between local numbering and global numbering
854 .  nrows - the number of rows indicated
855 .  rows - the indices of the rows
856 .  ncols - the number of columns in the matrix
857 .  cols - the columns indicated
858 .  dnz - the array that will be passed to the matrix preallocation routines
859 -  onz - the other array passed to the matrix preallocation routines
860 
861    Level: intermediate
862 
863    Notes:
864     See Users-Manual: ch_performance for more details.
865 
866    Do not malloc or free dnz and onz that is handled internally by these routines
867 
868   Concepts: preallocation^Matrix
869 
870 .seealso: MatPreallocateFinalize(), MatPreallocateSet()
871           MatPreallocateInitialize(),  MatPreallocateSetLocal()
872 M*/
873 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
874 {\
875   PetscInt __l;\
876   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
877   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
878   for (__l=0;__l<nrows;__l++) {\
879     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
880   }\
881 }
882 /*MC
883    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
884        inserted using a local number of the rows and columns
885 
886    Synopsis:
887    #include <petscmat.h>
888    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
889 
890    Not Collective
891 
892    Input Parameters:
893 +  row - the row
894 .  ncols - the number of columns in the matrix
895 -  cols - the columns indicated
896 
897    Output Parameters:
898 +  dnz - the array that will be passed to the matrix preallocation routines
899 -  onz - the other array passed to the matrix preallocation routines
900 
901    Level: intermediate
902 
903    Notes:
904     See Users-Manual: ch_performance for more details.
905 
906    Do not malloc or free dnz and onz that is handled internally by these routines
907 
908    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
909 
910   Concepts: preallocation^Matrix
911 
912 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
913           MatPreallocateInitialize(), MatPreallocateSetLocal()
914 M*/
915 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
916 { PetscInt __i; \
917   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);\
918   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);\
919   for (__i=0; __i<nc; __i++) {\
920     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
921     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
922   }\
923 }
924 
925 /*MC
926    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
927        inserted using a local number of the rows and columns
928 
929    Synopsis:
930    #include <petscmat.h>
931    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
932 
933    Not Collective
934 
935    Input Parameters:
936 +  nrows - the number of rows indicated
937 .  rows - the indices of the rows
938 .  ncols - the number of columns in the matrix
939 .  cols - the columns indicated
940 .  dnz - the array that will be passed to the matrix preallocation routines
941 -  onz - the other array passed to the matrix preallocation routines
942 
943    Level: intermediate
944 
945    Notes:
946     See Users-Manual: ch_performance for more details.
947 
948    Do not malloc or free dnz and onz that is handled internally by these routines
949 
950    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
951 
952   Concepts: preallocation^Matrix
953 
954 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
955           MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
956 M*/
957 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
958 { PetscInt __i; \
959   for (__i=0; __i<nc; __i++) {\
960     if (cols[__i] >= __end) onz[row - __rstart]++; \
961     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
962   }\
963 }
964 
965 /*MC
966    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
967 
968    Synopsis:
969    #include <petscmat.h>
970    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
971 
972    Not Collective
973 
974    Input Parameters:
975 .  A - matrix
976 .  row - row where values exist (must be local to this process)
977 .  ncols - number of columns
978 .  cols - columns with nonzeros
979 .  dnz - the array that will be passed to the matrix preallocation routines
980 -  onz - the other array passed to the matrix preallocation routines
981 
982    Level: intermediate
983 
984    Notes:
985     See Users-Manual: ch_performance for more details.
986 
987    Do not malloc or free dnz and onz that is handled internally by these routines
988 
989    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
990 
991   Concepts: preallocation^Matrix
992 
993 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
994           MatPreallocateSymmetricSetLocalBlock()
995 M*/
996 #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);}
997 
998 
999 /*MC
1000    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
1001        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1002 
1003    Synopsis:
1004    #include <petscmat.h>
1005    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
1006 
1007    Collective on MPI_Comm
1008 
1009    Input Parameters:
1010 +  dnz - the array that was be passed to the matrix preallocation routines
1011 -  onz - the other array passed to the matrix preallocation routines
1012 
1013    Level: intermediate
1014 
1015    Notes:
1016     See Users-Manual: ch_performance for more details.
1017 
1018    Do not malloc or free dnz and onz that is handled internally by these routines
1019 
1020    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
1021 
1022   Concepts: preallocation^Matrix
1023 
1024 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1025           MatPreallocateSymmetricSetLocalBlock()
1026 M*/
1027 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
1028 
1029 /* Routines unique to particular data structures */
1030 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
1031 
1032 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
1033 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1034 
1035 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1036 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1037 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1038 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1039 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1040 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
1041 
1042 #define MAT_SKIP_ALLOCATION -4
1043 
1044 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1045 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1046 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1047 
1048 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1049 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1050 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1051 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1052 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1053 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1054 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1055 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1056 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat,Mat*);
1057 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1058 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1059 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1060 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1061 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1062 
1063 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
1064 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1065 
1066 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1067 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1068 
1069 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
1070 
1071 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1072 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1073 /*
1074   These routines are not usually accessed directly, rather solving is
1075   done through the KSP and PC interfaces.
1076 */
1077 
1078 /*J
1079     MatOrderingType - String with the name of a PETSc matrix ordering
1080 
1081    Level: beginner
1082 
1083 .seealso: MatGetOrdering()
1084 J*/
1085 typedef const char* MatOrderingType;
1086 #define MATORDERINGNATURAL     "natural"
1087 #define MATORDERINGND          "nd"
1088 #define MATORDERING1WD         "1wd"
1089 #define MATORDERINGRCM         "rcm"
1090 #define MATORDERINGQMD         "qmd"
1091 #define MATORDERINGROWLENGTH   "rowlength"
1092 #define MATORDERINGWBM         "wbm"
1093 #define MATORDERINGSPECTRAL    "spectral"
1094 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1095 
1096 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1097 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1098 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1099 PETSC_EXTERN PetscFunctionList MatOrderingList;
1100 
1101 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1102 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1103 
1104 /*S
1105     MatFactorShiftType - Numeric Shift.
1106 
1107    Level: beginner
1108 
1109 S*/
1110 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1111 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1112 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1113 
1114 /*S
1115     MatFactorError - indicates what type of error in matrix factor
1116 
1117     Level: beginner
1118 
1119     Developer Notes:
1120     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1121 
1122 .seealso: MatGetFactor()
1123 S*/
1124 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1125 
1126 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1127 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1128 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1129 
1130 /*S
1131    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1132 
1133    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1134 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1135 
1136    Notes:
1137     These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1138 
1139       You can use MatFactorInfoInitialize() to set default values.
1140 
1141    Level: developer
1142 
1143 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1144           MatFactorInfoInitialize()
1145 
1146 S*/
1147 typedef struct {
1148   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1149   PetscReal     usedt;
1150   PetscReal     dt;             /* drop tolerance */
1151   PetscReal     dtcol;          /* tolerance for pivoting */
1152   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1153   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1154   PetscReal     levels;         /* ICC/ILU(levels) */
1155   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1156                                    factorization may be faster if do not pivot */
1157   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1158   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1159   PetscReal     shiftamount;     /* how large the shift is */
1160 } MatFactorInfo;
1161 
1162 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1163 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1164 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1165 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1166 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1167 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1168 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1169 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1170 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1171 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1172 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1173 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1174 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1175 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1176 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1177 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1178 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1179 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1180 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1181 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1182 
1183 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1184 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1185 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1186 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1187 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1188 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1189 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1190 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1191 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1192 
1193 /*E
1194     MatSORType - What type of (S)SOR to perform
1195 
1196     Level: beginner
1197 
1198    May be bitwise ORd together
1199 
1200    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1201 
1202    MatSORType may be bitwise ORd together, so do not change the numbers
1203 
1204 .seealso: MatSOR()
1205 E*/
1206 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1207               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1208               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1209               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1210 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1211 
1212 /*
1213     These routines are for efficiently computing Jacobians via finite differences.
1214 */
1215 
1216 /*S
1217      MatColoring - Object for managing the coloring of matrices.
1218 
1219    Level: beginner
1220 
1221   Concepts: matrix, coloring
1222 
1223 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1224 S*/
1225 typedef struct _p_MatColoring* MatColoring;
1226 /*J
1227     MatColoringType - String with the name of a PETSc matrix coloring
1228 
1229    Level: beginner
1230 
1231 .seealso: MatColoringSetType(), MatColoring
1232 J*/
1233 
1234 typedef const  char*           MatColoringType;
1235 #define MATCOLORINGJP      "jp"
1236 #define MATCOLORINGPOWER   "power"
1237 #define MATCOLORINGNATURAL "natural"
1238 #define MATCOLORINGSL      "sl"
1239 #define MATCOLORINGLF      "lf"
1240 #define MATCOLORINGID      "id"
1241 #define MATCOLORINGGREEDY  "greedy"
1242 
1243 /*E
1244    MatColoringWeightType - Type of weight scheme
1245 
1246     Not Collective
1247 
1248 +   MAT_COLORING_RANDOM  - Random weights
1249 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1250 -   MAT_COLORING_LF      - Last-first weighting.
1251 
1252     Level: intermediate
1253 
1254    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1255 E*/
1256 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1257 
1258 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1259 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1260 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1261 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1262 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1263 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1264 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1265 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1266 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1267 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1268 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1269 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1270 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1271 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1272 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1273 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1274 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring,ISColoring);
1275 PETSC_DEPRECATED("Use MatColoringTest()") PETSC_STATIC_INLINE PetscErrorCode MatColoringTestValid(MatColoring matcoloring,ISColoring iscoloring) {return MatColoringTest(matcoloring,iscoloring);}
1276 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat,ISColoring);
1277 
1278 /*S
1279      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1280         and coloring
1281 
1282    Level: beginner
1283 
1284   Concepts: coloring, sparse Jacobian, finite differences
1285 
1286 .seealso:  MatFDColoringCreate()
1287 S*/
1288 typedef struct _p_MatFDColoring* MatFDColoring;
1289 
1290 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1291 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1292 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1293 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1294 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1295 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1296 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1297 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1298 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1299 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1300 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1301 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1302 
1303 
1304 /*S
1305      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1306 
1307    Level: beginner
1308 
1309   Concepts: coloring, sparse matrix product
1310 
1311 .seealso:  MatTransposeColoringCreate()
1312 S*/
1313 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1314 
1315 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1316 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1317 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1318 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1319 
1320 /*
1321     These routines are for partitioning matrices: currently used only
1322   for adjacency matrix, MatCreateMPIAdj().
1323 */
1324 
1325 /*S
1326      MatPartitioning - Object for managing the partitioning of a matrix or graph
1327 
1328    Level: beginner
1329 
1330   Concepts: partitioning
1331 
1332 .seealso:  MatPartitioningCreate(), MatPartitioningType
1333 S*/
1334 typedef struct _p_MatPartitioning* MatPartitioning;
1335 
1336 /*J
1337     MatPartitioningType - String with the name of a PETSc matrix partitioning
1338 
1339    Level: beginner
1340 dm
1341 .seealso: MatPartitioningCreate(), MatPartitioning
1342 J*/
1343 typedef const char* MatPartitioningType;
1344 #define MATPARTITIONINGCURRENT  "current"
1345 #define MATPARTITIONINGAVERAGE   "average"
1346 #define MATPARTITIONINGSQUARE   "square"
1347 #define MATPARTITIONINGPARMETIS "parmetis"
1348 #define MATPARTITIONINGCHACO    "chaco"
1349 #define MATPARTITIONINGPARTY    "party"
1350 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1351 #define MATPARTITIONINGHIERARCH  "hierarch"
1352 
1353 
1354 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1355 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1356 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1357 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1358 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1359 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1360 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1361 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning,IS*);
1362 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning,IS);
1363 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning,IS*);
1364 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1365 
1366 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1367 
1368 
1369 
1370 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1371 PETSC_STATIC_INLINE PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning A,PetscObject B,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,B,name);}
1372 
1373 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1374 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1375 
1376 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1377 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1378 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1379 
1380 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1381 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1382 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1383 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1384 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1385 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1386 
1387 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1388 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1389 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1390 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1391 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1392 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1393 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1394 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1395 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1396 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1397 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1398 
1399 #define MP_PARTY_OPT "opt"
1400 #define MP_PARTY_LIN "lin"
1401 #define MP_PARTY_SCA "sca"
1402 #define MP_PARTY_RAN "ran"
1403 #define MP_PARTY_GBF "gbf"
1404 #define MP_PARTY_GCF "gcf"
1405 #define MP_PARTY_BUB "bub"
1406 #define MP_PARTY_DEF "def"
1407 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1408 #define MP_PARTY_HELPFUL_SETS "hs"
1409 #define MP_PARTY_KERNIGHAN_LIN "kl"
1410 #define MP_PARTY_NONE "no"
1411 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1412 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1413 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1414 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1415 
1416 typedef enum { MP_PTSCOTCH_DEFAULT,MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1417 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1418 
1419 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1420 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1421 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1422 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1423 
1424 /*
1425  * hierarchical partitioning
1426  */
1427 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1428 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1429 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1430 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1431 
1432 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1433 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1434 
1435 /*
1436     If you add entries here you must also add them to petsc/finclude/petscmat.h
1437 */
1438 typedef enum { MATOP_SET_VALUES=0,
1439                MATOP_GET_ROW=1,
1440                MATOP_RESTORE_ROW=2,
1441                MATOP_MULT=3,
1442                MATOP_MULT_ADD=4,
1443                MATOP_MULT_TRANSPOSE=5,
1444                MATOP_MULT_TRANSPOSE_ADD=6,
1445                MATOP_SOLVE=7,
1446                MATOP_SOLVE_ADD=8,
1447                MATOP_SOLVE_TRANSPOSE=9,
1448                MATOP_SOLVE_TRANSPOSE_ADD=10,
1449                MATOP_LUFACTOR=11,
1450                MATOP_CHOLESKYFACTOR=12,
1451                MATOP_SOR=13,
1452                MATOP_TRANSPOSE=14,
1453                MATOP_GETINFO=15,
1454                MATOP_EQUAL=16,
1455                MATOP_GET_DIAGONAL=17,
1456                MATOP_DIAGONAL_SCALE=18,
1457                MATOP_NORM=19,
1458                MATOP_ASSEMBLY_BEGIN=20,
1459                MATOP_ASSEMBLY_END=21,
1460                MATOP_SET_OPTION=22,
1461                MATOP_ZERO_ENTRIES=23,
1462                MATOP_ZERO_ROWS=24,
1463                MATOP_LUFACTOR_SYMBOLIC=25,
1464                MATOP_LUFACTOR_NUMERIC=26,
1465                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1466                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1467                MATOP_SETUP_PREALLOCATION=29,
1468                MATOP_ILUFACTOR_SYMBOLIC=30,
1469                MATOP_ICCFACTOR_SYMBOLIC=31,
1470                MATOP_GET_DIAGONAL_BLOCK=32,
1471                MATOP_FREE_INTER_STRUCT=33,
1472                MATOP_DUPLICATE=34,
1473                MATOP_FORWARD_SOLVE=35,
1474                MATOP_BACKWARD_SOLVE=36,
1475                MATOP_ILUFACTOR=37,
1476                MATOP_ICCFACTOR=38,
1477                MATOP_AXPY=39,
1478                MATOP_CREATE_SUBMATRICES=40,
1479                MATOP_INCREASE_OVERLAP=41,
1480                MATOP_GET_VALUES=42,
1481                MATOP_COPY=43,
1482                MATOP_GET_ROW_MAX=44,
1483                MATOP_SCALE=45,
1484                MATOP_SHIFT=46,
1485                MATOP_DIAGONAL_SET=47,
1486                MATOP_ZERO_ROWS_COLUMNS=48,
1487                MATOP_SET_RANDOM=49,
1488                MATOP_GET_ROW_IJ=50,
1489                MATOP_RESTORE_ROW_IJ=51,
1490                MATOP_GET_COLUMN_IJ=52,
1491                MATOP_RESTORE_COLUMN_IJ=53,
1492                MATOP_FDCOLORING_CREATE=54,
1493                MATOP_COLORING_PATCH=55,
1494                MATOP_SET_UNFACTORED=56,
1495                MATOP_PERMUTE=57,
1496                MATOP_SET_VALUES_BLOCKED=58,
1497                MATOP_CREATE_SUBMATRIX=59,
1498                MATOP_DESTROY=60,
1499                MATOP_VIEW=61,
1500                MATOP_CONVERT_FROM=62,
1501                MATOP_MATMAT_MULT=63,
1502                MATOP_MATMAT_MULT_SYMBOLIC=64,
1503                MATOP_MATMAT_MULT_NUMERIC=65,
1504                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1505                MATOP_SET_VALUES_LOCAL=67,
1506                MATOP_ZERO_ROWS_LOCAL=68,
1507                MATOP_GET_ROW_MAX_ABS=69,
1508                MATOP_GET_ROW_MIN_ABS=70,
1509                MATOP_CONVERT=71,
1510                MATOP_SET_COLORING=72,
1511                /* MATOP_PLACEHOLDER_73=73, */
1512                MATOP_SET_VALUES_ADIFOR=74,
1513                MATOP_FD_COLORING_APPLY=75,
1514                MATOP_SET_FROM_OPTIONS=76,
1515                MATOP_MULT_CONSTRAINED=77,
1516                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1517                MATOP_FIND_ZERO_DIAGONALS=79,
1518                MATOP_MULT_MULTIPLE=80,
1519                MATOP_SOLVE_MULTIPLE=81,
1520                MATOP_GET_INERTIA=82,
1521                MATOP_LOAD=83,
1522                MATOP_IS_SYMMETRIC=84,
1523                MATOP_IS_HERMITIAN=85,
1524                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1525                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1526                MATOP_CREATE_VECS=88,
1527                MATOP_MAT_MULT=89,
1528                MATOP_MAT_MULT_SYMBOLIC=90,
1529                MATOP_MAT_MULT_NUMERIC=91,
1530                MATOP_PTAP=92,
1531                MATOP_PTAP_SYMBOLIC=93,
1532                MATOP_PTAP_NUMERIC=94,
1533                MATOP_MAT_TRANSPOSE_MULT=95,
1534                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1535                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1536                /* MATOP_PLACEHOLDER_98=98, */
1537                /* MATOP_PLACEHOLDER_99=99, */
1538                /* MATOP_PLACEHOLDER_100=100, */
1539                /* MATOP_PLACEHOLDER_101=101, */
1540                MATOP_CONJUGATE=102,
1541                /* MATOP_PLACEHOLDER_103=103, */
1542                MATOP_SET_VALUES_ROW=104,
1543                MATOP_REAL_PART=105,
1544                MATOP_IMAGINARY_PART=106,
1545                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1546                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1547                MATOP_MAT_SOLVE=109,
1548                MATOP_MAT_SOLVE_TRANSPOSE=110,
1549                MATOP_GET_ROW_MIN=111,
1550                MATOP_GET_COLUMN_VECTOR=112,
1551                MATOP_MISSING_DIAGONAL=113,
1552                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1553                MATOP_CREATE=115,
1554                MATOP_GET_GHOSTS=116,
1555                MATOP_GET_LOCAL_SUB_MATRIX=117,
1556                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1557                MATOP_MULT_DIAGONAL_BLOCK=119,
1558                MATOP_HERMITIAN_TRANSPOSE=120,
1559                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1560                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1561                MATOP_GET_MULTI_PROC_BLOCK=123,
1562                MATOP_FIND_NONZERO_ROWS=124,
1563                MATOP_GET_COLUMN_NORMS=125,
1564                MATOP_INVERT_BLOCK_DIAGONAL=126,
1565                /* MATOP_PLACEHOLDER_127=127, */
1566                MATOP_CREATE_SUB_MATRICES_MPI=128,
1567                MATOP_SET_VALUES_BATCH=129,
1568                MATOP_TRANSPOSE_MAT_MULT=130,
1569                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1570                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1571                MATOP_TRANSPOSE_COLORING_CREAT=133,
1572                MATOP_TRANS_COLORING_APPLY_SPT=134,
1573                MATOP_TRANS_COLORING_APPLY_DEN=135,
1574                MATOP_RART=136,
1575                MATOP_RART_SYMBOLIC=137,
1576                MATOP_RART_NUMERIC=138,
1577                MATOP_SET_BLOCK_SIZES=139,
1578                MATOP_AYPX=140,
1579                MATOP_RESIDUAL=141,
1580                MATOP_FDCOLORING_SETUP=142,
1581                MATOP_MPICONCATENATESEQ=144,
1582                MATOP_DESTROYSUBMATRICES=145
1583              } MatOperation;
1584 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat,MatOperation,void(*)(void));
1585 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat,MatOperation,void(**)(void));
1586 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1587 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat,PetscBool *);
1588 PETSC_EXTERN PetscErrorCode MatFreeIntermediateDataStructures(Mat);
1589 
1590 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1591 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1592 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1593 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1594 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1595 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1596 
1597 /*
1598    Codes for matrices stored on disk. By default they are
1599    stored in a universal format. By changing the format with
1600    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1601    be stored in a way natural for the matrix, for example dense matrices
1602    would be stored as dense. Matrices stored this way may only be
1603    read into matrices of the same type.
1604 */
1605 #define MATRIX_BINARY_FORMAT_DENSE -1
1606 
1607 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1608 
1609 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat,MatType);
1610 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1611 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat,PetscBool);
1612 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat,PetscBool);
1613 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1614 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1615 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1616 PETSC_EXTERN PETSC_DEPRECATED("Use the MatConvert() interface") PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1617 
1618 /*S
1619      MatNullSpace - Object that removes a null space from a vector, i.e.
1620          orthogonalizes the vector to a subsapce
1621 
1622    Level: advanced
1623 
1624   Concepts: matrix; linear operator, null space
1625 
1626   Users manual sections:
1627 .   sec_singular
1628 
1629 .seealso:  MatNullSpaceCreate()
1630 S*/
1631 typedef struct _p_MatNullSpace* MatNullSpace;
1632 
1633 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1634 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1635 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1636 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1637 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1638 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1639 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1640 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1641 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1642 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1643 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1644 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1645 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1646 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1647 
1648 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1649 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1650 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1651 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1652 
1653 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1654 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1655 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1656 
1657 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1658 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperatorTranspose(Mat,Mat*);
1659 
1660 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1661 
1662 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1663 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1664 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1665 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1666 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1667 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1668 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1669 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1670 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1671 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1672 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1673 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1674 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1675 
1676 /*S
1677     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1678               Jacobian vector products
1679 
1680     Notes:
1681     MATMFFD is a specific MatType which uses the MatMFFD data structure
1682 
1683            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1684 
1685     Level: developer
1686 
1687 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1688 S*/
1689 typedef struct _p_MatMFFD* MatMFFD;
1690 
1691 /*J
1692     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1693 
1694    Level: beginner
1695 
1696 .seealso: MatMFFDSetType(), MatMFFDRegister()
1697 J*/
1698 typedef const char* MatMFFDType;
1699 #define MATMFFD_DS  "ds"
1700 #define MATMFFD_WP  "wp"
1701 
1702 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1703 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1704 
1705 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1706 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1707 
1708 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1709 
1710 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1711 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1712 
1713 /*
1714    PETSc interface to MUMPS
1715 */
1716 #ifdef PETSC_HAVE_MUMPS
1717 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1718 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1719 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1720 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1721 
1722 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1723 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1724 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1725 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1726 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat,Mat);
1727 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat,Mat);
1728 #endif
1729 
1730 /*
1731    PETSc interface to Mkl_Pardiso
1732 */
1733 #ifdef PETSC_HAVE_MKL_PARDISO
1734 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1735 #endif
1736 
1737 /*
1738    PETSc interface to Mkl_CPardiso
1739 */
1740 #ifdef PETSC_HAVE_MKL_CPARDISO
1741 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1742 #endif
1743 
1744 /*
1745    PETSc interface to SUPERLU
1746 */
1747 #ifdef PETSC_HAVE_SUPERLU
1748 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1749 #endif
1750 
1751 /*
1752    PETSc interface to SUPERLU_DIST
1753 */
1754 #ifdef PETSC_HAVE_SUPERLU_DIST
1755 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1756 #endif
1757 
1758 /*
1759    PETSc interface to STRUMPACK
1760 */
1761 #ifdef PETSC_HAVE_STRUMPACK
1762 /*E
1763     MatSTRUMPACKReordering - sparsity reducing ordering to be used in STRUMPACK
1764 
1765     Level: intermediate
1766 E*/
1767 typedef enum {MAT_STRUMPACK_NATURAL=0,
1768               MAT_STRUMPACK_METIS=1,
1769               MAT_STRUMPACK_PARMETIS=2,
1770               MAT_STRUMPACK_SCOTCH=3,
1771               MAT_STRUMPACK_PTSCOTCH=4,
1772               MAT_STRUMPACK_RCM=5} MatSTRUMPACKReordering;
1773 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat,MatSTRUMPACKReordering);
1774 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1775 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat,PetscReal);
1776 PETSC_DEPRECATED ("Use MatSTRUMPACKSetHSSRelTol()") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat,PetscReal rtol) {return MatSTRUMPACKSetHSSRelTol(mat,rtol);}
1777 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat,PetscReal);
1778 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat,PetscInt);
1779 PETSC_DEPRECATED ("Use MatSTRUMPACKSetHSSMinSepSize()") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat,PetscInt hssminsize) {return MatSTRUMPACKSetHSSMinSepSize(mat,hssminsize);}
1780 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat,PetscInt);
1781 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat,PetscInt);
1782 #endif
1783 
1784 
1785 #ifdef PETSC_HAVE_CUDA
1786 /*E
1787     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1788     matrices.
1789 
1790     Not Collective
1791 
1792 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1793 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1794 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1795 
1796     Level: intermediate
1797 
1798    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1799 
1800 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1801 E*/
1802 
1803 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1804 
1805 /* these will be strings associated with enumerated type defined above */
1806 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1807 
1808 /*E
1809     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1810     matrices whose operation should use a particular storage format.
1811 
1812     Not Collective
1813 
1814 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1815 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1816 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1817 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1818 
1819     Level: intermediate
1820 
1821 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1822 E*/
1823 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1824 
1825 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1826 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1827 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1828 #endif
1829 
1830 #if defined(PETSC_HAVE_VIENNACL)
1831 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1832 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1833 #endif
1834 
1835 /*
1836    PETSc interface to FFTW
1837 */
1838 #if defined(PETSC_HAVE_FFTW)
1839 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1840 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1841 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1842 #endif
1843 
1844 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1845 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1846 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1847 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1848 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1849 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1850 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1851 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1852 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1853 
1854 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1855 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1856 
1857 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1858 
1859 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1860 
1861 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1862 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1863 
1864 #endif
1865