xref: /petsc/include/petscmat.h (revision b72fa766f129fc2bd79867a41d61fdbe3fc875c4)
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(), PCFactorSetMatSolverType(), PCFactorGetMatSolverType()
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_TYPEDEF("Use MatSolverType (since version 3.9)");
153 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeRegister() (since version 3.9)") 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_FUNCTION("Use MatSolverTypeGet() (since version 3.9)") 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_FUNCTION("Use MatCreateSubMatrices() (since version 3.8)") 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_FUNCTION("Use MatCreateSubMatricesMPI() (since version 3.8)") 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_FUNCTION("Use MatCreateSubMatrix() (since version 3.8)") 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_FUNCTION("Use MatCreateVecs() (since version 3.6)") 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 do { \
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   do { } while(0)
715 
716 /*MC
717    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
718        inserted using a local number of the rows and columns
719 
720    Synopsis:
721    #include <petscmat.h>
722    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
723 
724    Not Collective
725 
726    Input Parameters:
727 +  map - the row mapping from local numbering to global numbering
728 .  nrows - the number of rows indicated
729 .  rows - the indices of the rows
730 .  cmap - the column mapping from local to global numbering
731 .  ncols - the number of columns in the matrix
732 .  cols - the columns indicated
733 .  dnz - the array that will be passed to the matrix preallocation routines
734 -  onz - the other array passed to the matrix preallocation routines
735 
736    Level: intermediate
737 
738    Notes:
739     See Users-Manual: ch_performance for more details.
740 
741    Do not malloc or free dnz and onz, that is handled internally by these routines
742 
743   Concepts: preallocation^Matrix
744 
745 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
746           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
747 M*/
748 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
749 do {\
750   PetscInt __l;\
751   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
752   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
753   for (__l=0;__l<nrows;__l++) {\
754     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
755   }\
756  } while (0)
757 
758 /*MC
759    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
760        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
761 
762    Synopsis:
763    #include <petscmat.h>
764    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
765 
766    Not Collective
767 
768    Input Parameters:
769 +  map - the row mapping from local numbering to global numbering
770 .  nrows - the number of rows indicated
771 .  rows - the indices of the rows (these values are mapped to the global values)
772 .  cmap - the column mapping from local to global numbering
773 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
774 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
775 .  dnz - the array that will be passed to the matrix preallocation routines
776 -  onz - the other array passed to the matrix preallocation routines
777 
778    Level: intermediate
779 
780    Notes:
781     See Users-Manual: ch_performance for more details.
782 
783    Do not malloc or free dnz and onz, that is handled internally by these routines
784 
785   Concepts: preallocation^Matrix
786 
787 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
788           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
789 M*/
790 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
791 do {\
792   PetscInt __l;\
793   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
794   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
795   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
796   for (__l=0;__l<nrows;__l++) {\
797     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
798   }\
799  } while (0)
800 
801 /*MC
802    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
803        inserted using a local number of the rows and columns
804 
805    Synopsis:
806    #include <petscmat.h>
807    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
808 
809    Not Collective
810 
811    Input Parameters:
812 +  map - the row mapping from local numbering to global numbering
813 .  nrows - the number of rows indicated
814 .  rows - the indices of the rows
815 .  cmap - the column mapping from local to global numbering
816 .  ncols - the number of columns in the matrix
817 .  cols - the columns indicated
818 .  dnz - the array that will be passed to the matrix preallocation routines
819 -  onz - the other array passed to the matrix preallocation routines
820 
821    Level: intermediate
822 
823    Notes:
824     See Users-Manual: ch_performance for more details.
825 
826    Do not malloc or free dnz and onz, that is handled internally by these routines
827 
828   Concepts: preallocation^Matrix
829 
830 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
831           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
832 M*/
833 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
834 do {\
835   PetscInt __l;\
836   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
837   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
838   for (__l=0;__l<nrows;__l++) {\
839     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
840   }\
841 } while (0)
842 
843 /*MC
844    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
845        inserted using a local number of the rows and columns
846 
847    Synopsis:
848    #include <petscmat.h>
849    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
850 
851    Not Collective
852 
853    Input Parameters:
854 +  map - the mapping between local numbering and global numbering
855 .  nrows - the number of rows indicated
856 .  rows - the indices of the rows
857 .  ncols - the number of columns in the matrix
858 .  cols - the columns indicated
859 .  dnz - the array that will be passed to the matrix preallocation routines
860 -  onz - the other array passed to the matrix preallocation routines
861 
862    Level: intermediate
863 
864    Notes:
865     See Users-Manual: ch_performance for more details.
866 
867    Do not malloc or free dnz and onz that is handled internally by these routines
868 
869   Concepts: preallocation^Matrix
870 
871 .seealso: MatPreallocateFinalize(), MatPreallocateSet()
872           MatPreallocateInitialize(),  MatPreallocateSetLocal()
873 M*/
874 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
875 do {\
876   PetscInt __l;\
877   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
878   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
879   for (__l=0;__l<nrows;__l++) {\
880     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
881   }\
882 } while (0)
883 
884 /*MC
885    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
886        inserted using a local number of the rows and columns
887 
888    Synopsis:
889    #include <petscmat.h>
890    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
891 
892    Not Collective
893 
894    Input Parameters:
895 +  row - the row
896 .  ncols - the number of columns in the matrix
897 -  cols - the columns indicated
898 
899    Output Parameters:
900 +  dnz - the array that will be passed to the matrix preallocation routines
901 -  onz - the other array passed to the matrix preallocation routines
902 
903    Level: intermediate
904 
905    Notes:
906     See Users-Manual: ch_performance for more details.
907 
908    Do not malloc or free dnz and onz that is handled internally by these routines
909 
910    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
911 
912   Concepts: preallocation^Matrix
913 
914 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
915           MatPreallocateInitialize(), MatPreallocateSetLocal()
916 M*/
917 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
918 do { PetscInt __i; \
919   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);\
920   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);\
921   for (__i=0; __i<nc; __i++) {\
922     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
923     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
924   }\
925 } while (0)
926 
927 /*MC
928    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
929        inserted using a local number of the rows and columns
930 
931    Synopsis:
932    #include <petscmat.h>
933    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
934 
935    Not Collective
936 
937    Input Parameters:
938 +  nrows - the number of rows indicated
939 .  rows - the indices of the rows
940 .  ncols - the number of columns in the matrix
941 .  cols - the columns indicated
942 .  dnz - the array that will be passed to the matrix preallocation routines
943 -  onz - the other array passed to the matrix preallocation routines
944 
945    Level: intermediate
946 
947    Notes:
948     See Users-Manual: ch_performance for more details.
949 
950    Do not malloc or free dnz and onz that is handled internally by these routines
951 
952    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
953 
954   Concepts: preallocation^Matrix
955 
956 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
957           MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
958 M*/
959 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
960 do { PetscInt __i; \
961   for (__i=0; __i<nc; __i++) {\
962     if (cols[__i] >= __end) onz[row - __rstart]++; \
963     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
964   }\
965 } while (0)
966 
967 /*MC
968    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
969 
970    Synopsis:
971    #include <petscmat.h>
972    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
973 
974    Not Collective
975 
976    Input Parameters:
977 .  A - matrix
978 .  row - row where values exist (must be local to this process)
979 .  ncols - number of columns
980 .  cols - columns with nonzeros
981 .  dnz - the array that will be passed to the matrix preallocation routines
982 -  onz - the other array passed to the matrix preallocation routines
983 
984    Level: intermediate
985 
986    Notes:
987     See Users-Manual: ch_performance for more details.
988 
989    Do not malloc or free dnz and onz that is handled internally by these routines
990 
991    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
992 
993   Concepts: preallocation^Matrix
994 
995 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
996           MatPreallocateSymmetricSetLocalBlock()
997 M*/
998 #define MatPreallocateLocation(A,row,ncols,cols,dnz,onz) 0; do {if (A) {ierr = MatSetValues(A,1,&row,ncols,cols,NULL,INSERT_VALUES);CHKERRQ(ierr);} else {ierr =  MatPreallocateSet(row,ncols,cols,dnz,onz);CHKERRQ(ierr);}} while(0)
999 
1000 
1001 /*MC
1002    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
1003        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1004 
1005    Synopsis:
1006    #include <petscmat.h>
1007    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
1008 
1009    Collective on MPI_Comm
1010 
1011    Input Parameters:
1012 +  dnz - the array that was be passed to the matrix preallocation routines
1013 -  onz - the other array passed to the matrix preallocation routines
1014 
1015    Level: intermediate
1016 
1017    Notes:
1018     See Users-Manual: ch_performance for more details.
1019 
1020    Do not malloc or free dnz and onz that is handled internally by these routines
1021 
1022    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
1023 
1024   Concepts: preallocation^Matrix
1025 
1026 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1027           MatPreallocateSymmetricSetLocalBlock()
1028 M*/
1029 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);} while(0)
1030 
1031 /* Routines unique to particular data structures */
1032 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
1033 
1034 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
1035 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1036 
1037 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1038 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1039 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1040 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1041 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1042 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
1043 
1044 #define MAT_SKIP_ALLOCATION -4
1045 
1046 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1047 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1048 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1049 
1050 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1051 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1052 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1053 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1054 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1055 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1056 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1057 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1058 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat,Mat*);
1059 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1060 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1061 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1062 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1063 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1064 
1065 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
1066 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat,PetscInt*);
1067 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1068 
1069 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1070 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1071 
1072 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
1073 
1074 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1075 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1076 /*
1077   These routines are not usually accessed directly, rather solving is
1078   done through the KSP and PC interfaces.
1079 */
1080 
1081 /*J
1082     MatOrderingType - String with the name of a PETSc matrix ordering
1083 
1084    Level: beginner
1085 
1086 .seealso: MatGetOrdering()
1087 J*/
1088 typedef const char* MatOrderingType;
1089 #define MATORDERINGNATURAL     "natural"
1090 #define MATORDERINGND          "nd"
1091 #define MATORDERING1WD         "1wd"
1092 #define MATORDERINGRCM         "rcm"
1093 #define MATORDERINGQMD         "qmd"
1094 #define MATORDERINGROWLENGTH   "rowlength"
1095 #define MATORDERINGWBM         "wbm"
1096 #define MATORDERINGSPECTRAL    "spectral"
1097 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1098 
1099 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1100 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1101 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1102 PETSC_EXTERN PetscFunctionList MatOrderingList;
1103 
1104 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1105 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1106 
1107 /*S
1108     MatFactorShiftType - Numeric Shift.
1109 
1110    Level: beginner
1111 
1112 S*/
1113 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1114 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1115 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1116 
1117 /*S
1118     MatFactorError - indicates what type of error in matrix factor
1119 
1120     Level: beginner
1121 
1122     Developer Notes:
1123     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1124 
1125 .seealso: MatGetFactor()
1126 S*/
1127 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1128 
1129 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1130 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1131 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1132 
1133 /*S
1134    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1135 
1136    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1137 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1138 
1139    Notes:
1140     These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1141 
1142       You can use MatFactorInfoInitialize() to set default values.
1143 
1144    Level: developer
1145 
1146 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1147           MatFactorInfoInitialize()
1148 
1149 S*/
1150 typedef struct {
1151   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1152   PetscReal     usedt;
1153   PetscReal     dt;             /* drop tolerance */
1154   PetscReal     dtcol;          /* tolerance for pivoting */
1155   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1156   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1157   PetscReal     levels;         /* ICC/ILU(levels) */
1158   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1159                                    factorization may be faster if do not pivot */
1160   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1161   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1162   PetscReal     shiftamount;     /* how large the shift is */
1163 } MatFactorInfo;
1164 
1165 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1166 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1167 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1168 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1169 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1170 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1171 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1172 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1173 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1174 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1175 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1176 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1177 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1178 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1179 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1180 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1181 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1182 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1183 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1184 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1185 
1186 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1187 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1188 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1189 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1190 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1191 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1192 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1193 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1194 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1195 
1196 /*E
1197     MatSORType - What type of (S)SOR to perform
1198 
1199     Level: beginner
1200 
1201    May be bitwise ORd together
1202 
1203    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1204 
1205    MatSORType may be bitwise ORd together, so do not change the numbers
1206 
1207 .seealso: MatSOR()
1208 E*/
1209 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1210               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1211               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1212               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1213 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1214 
1215 /*
1216     These routines are for efficiently computing Jacobians via finite differences.
1217 */
1218 
1219 /*S
1220      MatColoring - Object for managing the coloring of matrices.
1221 
1222    Level: beginner
1223 
1224   Concepts: matrix, coloring
1225 
1226 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1227 S*/
1228 typedef struct _p_MatColoring* MatColoring;
1229 /*J
1230     MatColoringType - String with the name of a PETSc matrix coloring
1231 
1232    Level: beginner
1233 
1234 .seealso: MatColoringSetType(), MatColoring
1235 J*/
1236 
1237 typedef const  char*           MatColoringType;
1238 #define MATCOLORINGJP      "jp"
1239 #define MATCOLORINGPOWER   "power"
1240 #define MATCOLORINGNATURAL "natural"
1241 #define MATCOLORINGSL      "sl"
1242 #define MATCOLORINGLF      "lf"
1243 #define MATCOLORINGID      "id"
1244 #define MATCOLORINGGREEDY  "greedy"
1245 
1246 /*E
1247    MatColoringWeightType - Type of weight scheme
1248 
1249     Not Collective
1250 
1251 +   MAT_COLORING_RANDOM  - Random weights
1252 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1253 -   MAT_COLORING_LF      - Last-first weighting.
1254 
1255     Level: intermediate
1256 
1257    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1258 E*/
1259 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1260 
1261 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1262 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1263 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1264 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1265 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1266 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1267 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1268 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1269 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1270 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1271 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1272 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1273 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1274 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1275 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1276 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1277 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring,ISColoring);
1278 PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") PETSC_STATIC_INLINE PetscErrorCode MatColoringTestValid(MatColoring matcoloring,ISColoring iscoloring) {return MatColoringTest(matcoloring,iscoloring);}
1279 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat,ISColoring);
1280 
1281 /*S
1282      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1283         and coloring
1284 
1285    Level: beginner
1286 
1287   Concepts: coloring, sparse Jacobian, finite differences
1288 
1289 .seealso:  MatFDColoringCreate()
1290 S*/
1291 typedef struct _p_MatFDColoring* MatFDColoring;
1292 
1293 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1294 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1295 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1296 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1297 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1298 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1299 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1300 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1301 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1302 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1303 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1304 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1305 
1306 
1307 /*S
1308      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1309 
1310    Level: beginner
1311 
1312   Concepts: coloring, sparse matrix product
1313 
1314 .seealso:  MatTransposeColoringCreate()
1315 S*/
1316 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1317 
1318 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1319 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1320 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1321 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1322 
1323 /*
1324     These routines are for partitioning matrices: currently used only
1325   for adjacency matrix, MatCreateMPIAdj().
1326 */
1327 
1328 /*S
1329      MatPartitioning - Object for managing the partitioning of a matrix or graph
1330 
1331    Level: beginner
1332 
1333   Concepts: partitioning
1334 
1335 .seealso:  MatPartitioningCreate(), MatPartitioningType
1336 S*/
1337 typedef struct _p_MatPartitioning* MatPartitioning;
1338 
1339 /*J
1340     MatPartitioningType - String with the name of a PETSc matrix partitioning
1341 
1342    Level: beginner
1343 dm
1344 .seealso: MatPartitioningCreate(), MatPartitioning
1345 J*/
1346 typedef const char* MatPartitioningType;
1347 #define MATPARTITIONINGCURRENT  "current"
1348 #define MATPARTITIONINGAVERAGE   "average"
1349 #define MATPARTITIONINGSQUARE   "square"
1350 #define MATPARTITIONINGPARMETIS "parmetis"
1351 #define MATPARTITIONINGCHACO    "chaco"
1352 #define MATPARTITIONINGPARTY    "party"
1353 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1354 #define MATPARTITIONINGHIERARCH  "hierarch"
1355 
1356 
1357 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1358 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1359 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1360 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1361 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1362 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1363 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1364 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning,IS*);
1365 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning,IS);
1366 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning,IS*);
1367 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1368 
1369 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1370 
1371 
1372 
1373 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1374 PETSC_STATIC_INLINE PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning A,PetscObject B,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,B,name);}
1375 
1376 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1377 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1378 
1379 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1380 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1381 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1382 
1383 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1384 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1385 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1386 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1387 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1388 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1389 
1390 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1391 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1392 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1393 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1394 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1395 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1396 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1397 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1398 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1399 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1400 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1401 
1402 #define MP_PARTY_OPT "opt"
1403 #define MP_PARTY_LIN "lin"
1404 #define MP_PARTY_SCA "sca"
1405 #define MP_PARTY_RAN "ran"
1406 #define MP_PARTY_GBF "gbf"
1407 #define MP_PARTY_GCF "gcf"
1408 #define MP_PARTY_BUB "bub"
1409 #define MP_PARTY_DEF "def"
1410 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1411 #define MP_PARTY_HELPFUL_SETS "hs"
1412 #define MP_PARTY_KERNIGHAN_LIN "kl"
1413 #define MP_PARTY_NONE "no"
1414 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1415 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1416 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1417 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1418 
1419 typedef enum { MP_PTSCOTCH_DEFAULT,MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1420 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1421 
1422 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1423 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1424 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1425 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1426 
1427 /*
1428  * hierarchical partitioning
1429  */
1430 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1431 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1432 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1433 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1434 
1435 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1436 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1437 
1438 /*
1439     If you add entries here you must also add them to petsc/finclude/petscmat.h
1440 */
1441 typedef enum { MATOP_SET_VALUES=0,
1442                MATOP_GET_ROW=1,
1443                MATOP_RESTORE_ROW=2,
1444                MATOP_MULT=3,
1445                MATOP_MULT_ADD=4,
1446                MATOP_MULT_TRANSPOSE=5,
1447                MATOP_MULT_TRANSPOSE_ADD=6,
1448                MATOP_SOLVE=7,
1449                MATOP_SOLVE_ADD=8,
1450                MATOP_SOLVE_TRANSPOSE=9,
1451                MATOP_SOLVE_TRANSPOSE_ADD=10,
1452                MATOP_LUFACTOR=11,
1453                MATOP_CHOLESKYFACTOR=12,
1454                MATOP_SOR=13,
1455                MATOP_TRANSPOSE=14,
1456                MATOP_GETINFO=15,
1457                MATOP_EQUAL=16,
1458                MATOP_GET_DIAGONAL=17,
1459                MATOP_DIAGONAL_SCALE=18,
1460                MATOP_NORM=19,
1461                MATOP_ASSEMBLY_BEGIN=20,
1462                MATOP_ASSEMBLY_END=21,
1463                MATOP_SET_OPTION=22,
1464                MATOP_ZERO_ENTRIES=23,
1465                MATOP_ZERO_ROWS=24,
1466                MATOP_LUFACTOR_SYMBOLIC=25,
1467                MATOP_LUFACTOR_NUMERIC=26,
1468                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1469                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1470                MATOP_SETUP_PREALLOCATION=29,
1471                MATOP_ILUFACTOR_SYMBOLIC=30,
1472                MATOP_ICCFACTOR_SYMBOLIC=31,
1473                MATOP_GET_DIAGONAL_BLOCK=32,
1474                MATOP_FREE_INTER_STRUCT=33,
1475                MATOP_DUPLICATE=34,
1476                MATOP_FORWARD_SOLVE=35,
1477                MATOP_BACKWARD_SOLVE=36,
1478                MATOP_ILUFACTOR=37,
1479                MATOP_ICCFACTOR=38,
1480                MATOP_AXPY=39,
1481                MATOP_CREATE_SUBMATRICES=40,
1482                MATOP_INCREASE_OVERLAP=41,
1483                MATOP_GET_VALUES=42,
1484                MATOP_COPY=43,
1485                MATOP_GET_ROW_MAX=44,
1486                MATOP_SCALE=45,
1487                MATOP_SHIFT=46,
1488                MATOP_DIAGONAL_SET=47,
1489                MATOP_ZERO_ROWS_COLUMNS=48,
1490                MATOP_SET_RANDOM=49,
1491                MATOP_GET_ROW_IJ=50,
1492                MATOP_RESTORE_ROW_IJ=51,
1493                MATOP_GET_COLUMN_IJ=52,
1494                MATOP_RESTORE_COLUMN_IJ=53,
1495                MATOP_FDCOLORING_CREATE=54,
1496                MATOP_COLORING_PATCH=55,
1497                MATOP_SET_UNFACTORED=56,
1498                MATOP_PERMUTE=57,
1499                MATOP_SET_VALUES_BLOCKED=58,
1500                MATOP_CREATE_SUBMATRIX=59,
1501                MATOP_DESTROY=60,
1502                MATOP_VIEW=61,
1503                MATOP_CONVERT_FROM=62,
1504                MATOP_MATMAT_MULT=63,
1505                MATOP_MATMAT_MULT_SYMBOLIC=64,
1506                MATOP_MATMAT_MULT_NUMERIC=65,
1507                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1508                MATOP_SET_VALUES_LOCAL=67,
1509                MATOP_ZERO_ROWS_LOCAL=68,
1510                MATOP_GET_ROW_MAX_ABS=69,
1511                MATOP_GET_ROW_MIN_ABS=70,
1512                MATOP_CONVERT=71,
1513                MATOP_SET_COLORING=72,
1514                /* MATOP_PLACEHOLDER_73=73, */
1515                MATOP_SET_VALUES_ADIFOR=74,
1516                MATOP_FD_COLORING_APPLY=75,
1517                MATOP_SET_FROM_OPTIONS=76,
1518                MATOP_MULT_CONSTRAINED=77,
1519                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1520                MATOP_FIND_ZERO_DIAGONALS=79,
1521                MATOP_MULT_MULTIPLE=80,
1522                MATOP_SOLVE_MULTIPLE=81,
1523                MATOP_GET_INERTIA=82,
1524                MATOP_LOAD=83,
1525                MATOP_IS_SYMMETRIC=84,
1526                MATOP_IS_HERMITIAN=85,
1527                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1528                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1529                MATOP_CREATE_VECS=88,
1530                MATOP_MAT_MULT=89,
1531                MATOP_MAT_MULT_SYMBOLIC=90,
1532                MATOP_MAT_MULT_NUMERIC=91,
1533                MATOP_PTAP=92,
1534                MATOP_PTAP_SYMBOLIC=93,
1535                MATOP_PTAP_NUMERIC=94,
1536                MATOP_MAT_TRANSPOSE_MULT=95,
1537                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1538                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1539                /* MATOP_PLACEHOLDER_98=98, */
1540                /* MATOP_PLACEHOLDER_99=99, */
1541                /* MATOP_PLACEHOLDER_100=100, */
1542                /* MATOP_PLACEHOLDER_101=101, */
1543                MATOP_CONJUGATE=102,
1544                /* MATOP_PLACEHOLDER_103=103, */
1545                MATOP_SET_VALUES_ROW=104,
1546                MATOP_REAL_PART=105,
1547                MATOP_IMAGINARY_PART=106,
1548                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1549                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1550                MATOP_MAT_SOLVE=109,
1551                MATOP_MAT_SOLVE_TRANSPOSE=110,
1552                MATOP_GET_ROW_MIN=111,
1553                MATOP_GET_COLUMN_VECTOR=112,
1554                MATOP_MISSING_DIAGONAL=113,
1555                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1556                MATOP_CREATE=115,
1557                MATOP_GET_GHOSTS=116,
1558                MATOP_GET_LOCAL_SUB_MATRIX=117,
1559                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1560                MATOP_MULT_DIAGONAL_BLOCK=119,
1561                MATOP_HERMITIAN_TRANSPOSE=120,
1562                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1563                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1564                MATOP_GET_MULTI_PROC_BLOCK=123,
1565                MATOP_FIND_NONZERO_ROWS=124,
1566                MATOP_GET_COLUMN_NORMS=125,
1567                MATOP_INVERT_BLOCK_DIAGONAL=126,
1568                /* MATOP_PLACEHOLDER_127=127, */
1569                MATOP_CREATE_SUB_MATRICES_MPI=128,
1570                MATOP_SET_VALUES_BATCH=129,
1571                MATOP_TRANSPOSE_MAT_MULT=130,
1572                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1573                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1574                MATOP_TRANSPOSE_COLORING_CREAT=133,
1575                MATOP_TRANS_COLORING_APPLY_SPT=134,
1576                MATOP_TRANS_COLORING_APPLY_DEN=135,
1577                MATOP_RART=136,
1578                MATOP_RART_SYMBOLIC=137,
1579                MATOP_RART_NUMERIC=138,
1580                MATOP_SET_BLOCK_SIZES=139,
1581                MATOP_AYPX=140,
1582                MATOP_RESIDUAL=141,
1583                MATOP_FDCOLORING_SETUP=142,
1584                MATOP_MPICONCATENATESEQ=144,
1585                MATOP_DESTROYSUBMATRICES=145
1586              } MatOperation;
1587 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat,MatOperation,void(*)(void));
1588 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat,MatOperation,void(**)(void));
1589 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1590 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat,PetscBool *);
1591 PETSC_EXTERN PetscErrorCode MatFreeIntermediateDataStructures(Mat);
1592 
1593 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1594 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1595 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1596 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1597 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1598 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1599 
1600 /*
1601    Codes for matrices stored on disk. By default they are
1602    stored in a universal format. By changing the format with
1603    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1604    be stored in a way natural for the matrix, for example dense matrices
1605    would be stored as dense. Matrices stored this way may only be
1606    read into matrices of the same type.
1607 */
1608 #define MATRIX_BINARY_FORMAT_DENSE -1
1609 
1610 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1611 
1612 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat,MatType);
1613 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1614 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat,PetscBool);
1615 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat,PetscBool);
1616 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1617 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1618 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1619 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1620 
1621 /*S
1622      MatNullSpace - Object that removes a null space from a vector, i.e.
1623          orthogonalizes the vector to a subsapce
1624 
1625    Level: advanced
1626 
1627   Concepts: matrix; linear operator, null space
1628 
1629   Users manual sections:
1630 .   sec_singular
1631 
1632 .seealso:  MatNullSpaceCreate()
1633 S*/
1634 typedef struct _p_MatNullSpace* MatNullSpace;
1635 
1636 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1637 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1638 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1639 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1640 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1641 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1642 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1643 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1644 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1645 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1646 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1647 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1648 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1649 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1650 
1651 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1652 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1653 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1654 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1655 
1656 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1657 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1658 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1659 
1660 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat,MatType,Mat*);
1661 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat,MatType,Mat*);
1662 
1663 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") PETSC_STATIC_INLINE PetscErrorCode MatComputeExplicitOperator(Mat A,Mat* B) { return MatComputeOperator(A,NULL,B); }
1664 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") PETSC_STATIC_INLINE PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A,Mat* B) { return MatComputeOperatorTranspose(A,NULL,B); }
1665 
1666 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1667 
1668 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1669 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1670 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1671 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1672 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1673 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1674 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1675 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1676 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1677 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1678 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1679 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1680 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1681 
1682 /*S
1683     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1684               Jacobian vector products
1685 
1686     Notes:
1687     MATMFFD is a specific MatType which uses the MatMFFD data structure
1688 
1689            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1690 
1691     Level: developer
1692 
1693 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1694 S*/
1695 typedef struct _p_MatMFFD* MatMFFD;
1696 
1697 /*J
1698     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1699 
1700    Level: beginner
1701 
1702 .seealso: MatMFFDSetType(), MatMFFDRegister()
1703 J*/
1704 typedef const char* MatMFFDType;
1705 #define MATMFFD_DS  "ds"
1706 #define MATMFFD_WP  "wp"
1707 
1708 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1709 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1710 
1711 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1712 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1713 
1714 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1715 
1716 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1717 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1718 
1719 /*
1720    PETSc interface to MUMPS
1721 */
1722 #ifdef PETSC_HAVE_MUMPS
1723 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1724 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1725 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1726 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1727 
1728 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1729 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1730 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1731 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1732 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat,Mat);
1733 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat,Mat);
1734 #endif
1735 
1736 /*
1737    PETSc interface to Mkl_Pardiso
1738 */
1739 #ifdef PETSC_HAVE_MKL_PARDISO
1740 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1741 #endif
1742 
1743 /*
1744    PETSc interface to Mkl_CPardiso
1745 */
1746 #ifdef PETSC_HAVE_MKL_CPARDISO
1747 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1748 #endif
1749 
1750 /*
1751    PETSc interface to SUPERLU
1752 */
1753 #ifdef PETSC_HAVE_SUPERLU
1754 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1755 #endif
1756 
1757 /*
1758    PETSc interface to SUPERLU_DIST
1759 */
1760 #ifdef PETSC_HAVE_SUPERLU_DIST
1761 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1762 #endif
1763 
1764 /*
1765    PETSc interface to STRUMPACK
1766 */
1767 #ifdef PETSC_HAVE_STRUMPACK
1768 /*E
1769     MatSTRUMPACKReordering - sparsity reducing ordering to be used in STRUMPACK
1770 
1771     Level: intermediate
1772 E*/
1773 typedef enum {MAT_STRUMPACK_NATURAL=0,
1774               MAT_STRUMPACK_METIS=1,
1775               MAT_STRUMPACK_PARMETIS=2,
1776               MAT_STRUMPACK_SCOTCH=3,
1777               MAT_STRUMPACK_PTSCOTCH=4,
1778               MAT_STRUMPACK_RCM=5} MatSTRUMPACKReordering;
1779 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat,MatSTRUMPACKReordering);
1780 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1781 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat,PetscReal);
1782 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat,PetscReal rtol) {return MatSTRUMPACKSetHSSRelTol(mat,rtol);}
1783 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat,PetscReal);
1784 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat,PetscInt);
1785 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat,PetscInt hssminsize) {return MatSTRUMPACKSetHSSMinSepSize(mat,hssminsize);}
1786 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat,PetscInt);
1787 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat,PetscInt);
1788 #endif
1789 
1790 
1791 PETSC_EXTERN PetscErrorCode MatPinToCPU(Mat,PetscBool);
1792 
1793 #ifdef PETSC_HAVE_CUDA
1794 /*E
1795     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1796     matrices.
1797 
1798     Not Collective
1799 
1800 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1801 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1802 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1803 
1804     Level: intermediate
1805 
1806    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1807 
1808 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1809 E*/
1810 
1811 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1812 
1813 /* these will be strings associated with enumerated type defined above */
1814 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1815 
1816 /*E
1817     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1818     matrices whose operation should use a particular storage format.
1819 
1820     Not Collective
1821 
1822 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1823 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1824 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1825 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1826 
1827     Level: intermediate
1828 
1829 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1830 E*/
1831 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1832 
1833 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1834 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1835 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1836 #endif
1837 
1838 #if defined(PETSC_HAVE_VIENNACL)
1839 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1840 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1841 #endif
1842 
1843 /*
1844    PETSc interface to FFTW
1845 */
1846 #if defined(PETSC_HAVE_FFTW)
1847 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1848 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1849 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1850 #endif
1851 
1852 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1853 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1854 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1855 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1856 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1857 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1858 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1859 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1860 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1861 
1862 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1863 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1864 
1865 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1866 
1867 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1868 
1869 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1870 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1871 
1872 #endif
1873