xref: /petsc/include/petscmat.h (revision 8fa9e22e65c6f47173f479ecf868ef7fe40cdcbd)
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 .seealso:  MatCreate(), MatType, MatSetType(), MatDestroy()
15 S*/
16 typedef struct _p_Mat*           Mat;
17 
18 /*J
19     MatType - String with the name of a PETSc matrix type
20 
21    Level: beginner
22 
23 .seealso: MatSetType(), Mat, MatSolverType, MatRegister()
24 J*/
25 typedef const char* MatType;
26 #define MATSAME            "same"
27 #define MATMAIJ            "maij"
28 #define MATSEQMAIJ         "seqmaij"
29 #define MATMPIMAIJ         "mpimaij"
30 #define MATKAIJ            "kaij"
31 #define MATSEQKAIJ         "seqkaij"
32 #define MATMPIKAIJ         "mpikaij"
33 #define MATIS              "is"
34 #define MATAIJ             "aij"
35 #define MATSEQAIJ          "seqaij"
36 #define MATMPIAIJ          "mpiaij"
37 #define MATAIJCRL          "aijcrl"
38 #define MATSEQAIJCRL       "seqaijcrl"
39 #define MATMPIAIJCRL       "mpiaijcrl"
40 #define MATAIJCUSPARSE     "aijcusparse"
41 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
42 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
43 #define MATAIJKOKKOS       "aijkokkos"
44 #define MATSEQAIJKOKKOS    "seqaijkokkos"
45 #define MATMPIAIJKOKKOS    "mpiaijkokkos"
46 #define MATAIJVIENNACL     "aijviennacl"
47 #define MATSEQAIJVIENNACL  "seqaijviennacl"
48 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
49 #define MATAIJPERM         "aijperm"
50 #define MATSEQAIJPERM      "seqaijperm"
51 #define MATMPIAIJPERM      "mpiaijperm"
52 #define MATAIJSELL         "aijsell"
53 #define MATSEQAIJSELL      "seqaijsell"
54 #define MATMPIAIJSELL      "mpiaijsell"
55 #define MATAIJMKL          "aijmkl"
56 #define MATSEQAIJMKL       "seqaijmkl"
57 #define MATMPIAIJMKL       "mpiaijmkl"
58 #define MATBAIJMKL         "baijmkl"
59 #define MATSEQBAIJMKL      "seqbaijmkl"
60 #define MATMPIBAIJMKL      "mpibaijmkl"
61 #define MATSHELL           "shell"
62 #define MATDENSE           "dense"
63 #define MATDENSECUDA       "densecuda"
64 #define MATSEQDENSE        "seqdense"
65 #define MATSEQDENSECUDA    "seqdensecuda"
66 #define MATMPIDENSE        "mpidense"
67 #define MATMPIDENSECUDA    "mpidensecuda"
68 #define MATELEMENTAL       "elemental"
69 #define MATSCALAPACK       "scalapack"
70 #define MATBAIJ            "baij"
71 #define MATSEQBAIJ         "seqbaij"
72 #define MATMPIBAIJ         "mpibaij"
73 #define MATMPIADJ          "mpiadj"
74 #define MATSBAIJ           "sbaij"
75 #define MATSEQSBAIJ        "seqsbaij"
76 #define MATMPISBAIJ        "mpisbaij"
77 #define MATMFFD            "mffd"
78 #define MATNORMAL          "normal"
79 #define MATNORMALHERMITIAN "normalh"
80 #define MATLRC             "lrc"
81 #define MATSCATTER         "scatter"
82 #define MATBLOCKMAT        "blockmat"
83 #define MATCOMPOSITE       "composite"
84 #define MATFFT             "fft"
85 #define MATFFTW            "fftw"
86 #define MATSEQCUFFT        "seqcufft"
87 #define MATTRANSPOSEMAT    "transpose"
88 #define MATSCHURCOMPLEMENT "schurcomplement"
89 #define MATPYTHON          "python"
90 #define MATHYPRE           "hypre"
91 #define MATHYPRESTRUCT     "hyprestruct"
92 #define MATHYPRESSTRUCT    "hypresstruct"
93 #define MATSUBMATRIX       "submatrix"
94 #define MATLOCALREF        "localref"
95 #define MATNEST            "nest"
96 #define MATPREALLOCATOR    "preallocator"
97 #define MATSELL            "sell"
98 #define MATSEQSELL         "seqsell"
99 #define MATMPISELL         "mpisell"
100 #define MATDUMMY           "dummy"
101 #define MATLMVM            "lmvm"
102 #define MATLMVMDFP         "lmvmdfp"
103 #define MATLMVMBFGS        "lmvmbfgs"
104 #define MATLMVMSR1         "lmvmsr1"
105 #define MATLMVMBROYDEN     "lmvmbroyden"
106 #define MATLMVMBADBROYDEN  "lmvmbadbroyden"
107 #define MATLMVMSYMBROYDEN  "lmvmsymbroyden"
108 #define MATLMVMSYMBADBROYDEN "lmvmsymbadbroyden"
109 #define MATLMVMDIAGBROYDEN   "lmvmdiagbroyden"
110 #define MATCONSTANTDIAGONAL  "constantdiagonal"
111 #define MATHARA              "hara"
112 
113 /*J
114     MatSolverType - String with the name of a PETSc matrix solver type.
115 
116     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
117 
118    Level: beginner
119 
120    Notes:  MATSOLVERUMFPACK, MATSOLVERCHOLMOD, MATSOLVERKLU form the SuiteSparse package for which you can use --download-suitesparse
121 
122 .seealso: MatGetFactor(), PCFactorSetMatSolverType(), PCFactorGetMatSolverType()
123 J*/
124 typedef const char* MatSolverType;
125 #define MATSOLVERSUPERLU          "superlu"
126 #define MATSOLVERSUPERLU_DIST     "superlu_dist"
127 #define MATSOLVERSTRUMPACK        "strumpack"
128 #define MATSOLVERUMFPACK          "umfpack"
129 #define MATSOLVERCHOLMOD          "cholmod"
130 #define MATSOLVERKLU              "klu"
131 #define MATSOLVERSPARSEELEMENTAL  "sparseelemental"
132 #define MATSOLVERELEMENTAL        "elemental"
133 #define MATSOLVERSCALAPACK        "scalapack"
134 #define MATSOLVERESSL             "essl"
135 #define MATSOLVERLUSOL            "lusol"
136 #define MATSOLVERMUMPS            "mumps"
137 #define MATSOLVERMKL_PARDISO      "mkl_pardiso"
138 #define MATSOLVERMKL_CPARDISO     "mkl_cpardiso"
139 #define MATSOLVERPASTIX           "pastix"
140 #define MATSOLVERMATLAB           "matlab"
141 #define MATSOLVERPETSC            "petsc"
142 #define MATSOLVERBAS              "bas"
143 #define MATSOLVERCUSPARSE         "cusparse"
144 #define MATSOLVERCUDA             "cuda"
145 
146 /*E
147     MatFactorType - indicates what type of factorization is requested
148 
149     Level: beginner
150 
151    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
152 
153 .seealso: MatSolverType, MatGetFactor(), MatGetFactorAvailable(), MatSolverTypeRegister()
154 E*/
155 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
156 PETSC_EXTERN const char *const MatFactorTypes[];
157 
158 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,MatSolverType,MatFactorType,Mat*);
159 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,MatSolverType,MatFactorType,PetscBool *);
160 PETSC_EXTERN PetscErrorCode MatFactorGetUseOrdering(Mat, PetscBool*);
161 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat,MatSolverType*);
162 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
163 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat,MatFactorType);
164 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatSolverFunction)(Mat,MatFactorType,Mat*);
165 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType,MatType,MatFactorType,MatSolverFunction);
166 PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType,MatType,MatFactorType,PetscBool*,PetscBool*,MatSolverFunction*);
167 typedef MatSolverType MatSolverPackage PETSC_DEPRECATED_TYPEDEF("Use MatSolverType (since version 3.9)");
168 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeRegister() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSolverPackageRegister(MatSolverType stype,MatType mtype,MatFactorType ftype,MatSolverFunction f)
169 { return MatSolverTypeRegister(stype,mtype,ftype,f); }
170 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeGet() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSolverPackageGet(MatSolverType stype,MatType mtype,MatFactorType ftype,PetscBool *foundmtype,PetscBool *foundstype,MatSolverFunction *f)
171 { return MatSolverTypeGet(stype,mtype,ftype,foundmtype,foundstype,f); }
172 
173 /*E
174     MatProductType - indicates what type of matrix product is requested
175 
176     Level: beginner
177 
178 .seealso: MatSolverType, MatProductSetType()
179 E*/
180 typedef enum {MATPRODUCT_UNSPECIFIED=0,MATPRODUCT_AB,MATPRODUCT_AtB,MATPRODUCT_ABt,MATPRODUCT_PtAP,MATPRODUCT_RARt,MATPRODUCT_ABC} MatProductType;
181 PETSC_EXTERN const char *const MatProductTypes[];
182 
183 /*J
184     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
185 
186    Level: beginner
187 
188 .seealso: MatSetType(), Mat, MatSolverType, MatRegister(), MatProductSetAlgorithm(), MatProductType
189 J*/
190 typedef const char* MatProductAlgorithm;
191 #define MATPRODUCTALGORITHM_DEFAULT "default"
192 
193 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat,Mat,Mat,Mat*);
194 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat,Mat,Mat,Mat);
195 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat,MatProductType);
196 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat,MatProductAlgorithm);
197 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat,PetscReal);
198 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
199 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
200 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
201 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat,Mat,Mat,Mat);
202 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
203 PETSC_EXTERN PetscErrorCode MatProductView(Mat,PetscViewer);
204 
205 /* Logging support */
206 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
207 PETSC_EXTERN PetscClassId MAT_CLASSID;
208 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
209 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
210 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
211 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
212 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
213 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
214 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
215 
216 /*E
217     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
218      are to be reused to store the new matrix values.
219 
220 $  MAT_INITIAL_MATRIX - create a new matrix
221 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
222 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
223 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
224 
225     Level: beginner
226 
227    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
228 
229 .seealso: MatCreateSubMatrices(), MatCreateSubMatrix(), MatDestroyMatrices(), MatConvert()
230 E*/
231 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
232 
233 /*E
234     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
235      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
236 
237     Level: beginner
238 
239 .seealso: MatGetSeqNonzerostructure()
240 E*/
241 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatCreateSubMatrixOption;
242 
243 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
244 
245 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
246 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
247 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
248 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat,VecType*);
249 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat,VecType);
250 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
251 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat,PetscObject,const char[]);
252 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
253 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[],const char[],const char[]);
254 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
255 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
256 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
257 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
258 
259 PETSC_EXTERN PetscFunctionList MatList;
260 PETSC_EXTERN PetscFunctionList MatColoringList;
261 PETSC_EXTERN PetscFunctionList MatPartitioningList;
262 
263 /*E
264     MatStructure - Indicates if two matrices have the same nonzero structure
265 
266     Level: beginner
267 
268    Any additions/changes here MUST also be made in src/mat/f90-mod/petscmat.h
269 
270 .seealso: MatCopy(), MatAXPY()
271 E*/
272 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN,UNKNOWN_NONZERO_PATTERN} MatStructure;
273 PETSC_EXTERN const char *const MatStructures[];
274 
275 #if defined PETSC_HAVE_MKL_SPARSE
276 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
277 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
278 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
279 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
280 #endif
281 
282 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
283 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
284 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat,PetscInt,const PetscInt[]);
285 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
286 
287 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
288 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
289 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
290 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
291 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
292 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
293 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
294 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm,Mat,Mat,const PetscInt[],Mat*);
295 
296 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
297 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
298 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
299 
300 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat,PetscInt,const PetscInt[],const PetscInt[]);
301 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat,const PetscScalar[],InsertMode);
302 
303 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
304 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
305 
306 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
307 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
308 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
309 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
310 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
311 
312 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
313 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
314 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
315 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
316 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
317 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
318 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
319 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
320 
321 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
322 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
323 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
324 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
325 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
326 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
327 typedef enum {MAT_COMPOSITE_MERGE_RIGHT,MAT_COMPOSITE_MERGE_LEFT} MatCompositeMergeType;
328 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat,MatCompositeMergeType);
329 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
330 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
331 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
332 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat,MatCompositeType*);
333 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat,MatStructure);
334 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat,MatStructure*);
335 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat,PetscInt*);
336 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat,PetscInt,Mat*);
337 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat,const PetscScalar*);
338 
339 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
340 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
341 
342 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
343 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
344 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
345 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat,Mat*);
346 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
347 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
348 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
349 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar,Mat*);
350 
351 #if defined(PETSC_HAVE_HYPRE)
352 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
353 #endif
354 
355 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
356 
357 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
358 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
359 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
360 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
361 
362 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
363 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
364 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
365 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
366 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
367 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
368 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat,PetscInt,const PetscInt*,PetscScalar*);
369 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat,Mat);
370 
371 /* ------------------------------------------------------------*/
372 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
373 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
374 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
375 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
376 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
377 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
378 
379 /*S
380      MatStencil - Data structure (C struct) for storing information about a single row or
381         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
382 
383    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).
384    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.
385 
386    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
387 
388    Fortran usage is different, see MatSetValuesStencil() for details.
389 
390    Level: beginner
391 
392 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
393 S*/
394 typedef struct {
395   PetscInt k,j,i,c;
396 } MatStencil;
397 
398 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
399 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
400 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
401 
402 /*E
403     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
404      to continue to add or insert values to it
405 
406     Level: beginner
407 
408 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
409 E*/
410 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
411 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
412 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
413 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
414 
415 
416 
417 /*E
418     MatOption - Options that may be set for a matrix and its behavior or storage
419 
420     Level: beginner
421 
422    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
423    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
424 
425    Developer Notes:
426     Entries that are negative need not be called collectively by all processes.
427 
428 .seealso: MatSetOption()
429 E*/
430 typedef enum {MAT_OPTION_MIN = -3,
431               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
432               MAT_ROW_ORIENTED = -1,
433               MAT_SYMMETRIC = 1,
434               MAT_STRUCTURALLY_SYMMETRIC = 2,
435               MAT_FORCE_DIAGONAL_ENTRIES = 3,
436               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
437               MAT_USE_HASH_TABLE = 5,
438               MAT_KEEP_NONZERO_PATTERN = 6,
439               MAT_IGNORE_ZERO_ENTRIES = 7,
440               MAT_USE_INODES = 8,
441               MAT_HERMITIAN = 9,
442               MAT_SYMMETRY_ETERNAL = 10,
443               MAT_NEW_NONZERO_LOCATION_ERR = 11,
444               MAT_IGNORE_LOWER_TRIANGULAR = 12,
445               MAT_ERROR_LOWER_TRIANGULAR = 13,
446               MAT_GETROW_UPPERTRIANGULAR = 14,
447               MAT_SPD = 15,
448               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
449               MAT_NO_OFF_PROC_ENTRIES = 17,
450               MAT_NEW_NONZERO_LOCATIONS = 18,
451               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
452               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
453               MAT_SUBMAT_SINGLEIS = 21,
454               MAT_STRUCTURE_ONLY = 22,
455               MAT_SORTED_FULL = 23,
456               MAT_OPTION_MAX = 24} MatOption;
457 
458 PETSC_EXTERN const char *const *MatOptions;
459 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
460 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
461 PETSC_EXTERN PetscErrorCode MatPropagateSymmetryOptions(Mat,Mat);
462 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
463 
464 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
465 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
466 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
467 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
468 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
469 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
470 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
471 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArrayRead(Mat,const PetscScalar *[]);
472 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
473 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArrayRead(Mat,const PetscScalar *[]);
474 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
475 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
476 PETSC_EXTERN PetscErrorCode MatSeqAIJSetType(Mat,MatType);
477 PETSC_EXTERN PetscErrorCode MatSeqAIJRegister(const char[],PetscErrorCode (*)(Mat,MatType,MatReuse,Mat *));
478 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
479 PETSC_EXTERN PetscErrorCode MatSeqBAIJGetArray(Mat,PetscScalar *[]);
480 PETSC_EXTERN PetscErrorCode MatSeqBAIJRestoreArray(Mat,PetscScalar *[]);
481 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
482 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
483 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
484 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
485 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
486 PETSC_EXTERN PetscErrorCode MatDenseReplaceArray(Mat,const PetscScalar[]);
487 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
488 PETSC_EXTERN PetscErrorCode MatDenseGetArrayRead(Mat,const PetscScalar *[]);
489 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayRead(Mat,const PetscScalar *[]);
490 PETSC_EXTERN PetscErrorCode MatDenseGetArrayWrite(Mat,PetscScalar *[]);
491 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayWrite(Mat,PetscScalar *[]);
492 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
493 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
494 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
495 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
496 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
497 PETSC_EXTERN PetscErrorCode MatSetVariableBlockSizes(Mat,PetscInt,PetscInt*);
498 PETSC_EXTERN PetscErrorCode MatGetVariableBlockSizes(Mat,PetscInt*,const PetscInt**);
499 
500 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat,PetscInt,PetscScalar*[]);
501 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat,PetscScalar*[]);
502 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat,PetscInt,Vec*);
503 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat,PetscInt,Vec*);
504 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat,PetscInt,Vec*);
505 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat,PetscInt,Vec*);
506 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat,PetscInt,Vec*);
507 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat,PetscInt,Vec*);
508 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat,PetscInt,PetscInt,Mat*);
509 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat,Mat*);
510 
511 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
512 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
513 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
514 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
515 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
516 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
517 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
518 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
519 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
520 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
521 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
522 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
523 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
524 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat,Mat,Mat);
525 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
526 
527 /*E
528     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
529   its numerical values copied over or just its nonzero structure.
530 
531     Level: beginner
532 
533    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
534 
535 $   MAT_DO_NOT_COPY_VALUES    - Create a matrix using the same nonzero pattern as the original matrix,
536 $                               with zeros for the numerical values.
537 $   MAT_COPY_VALUES           - Create a matrix with the same nonzero pattern as the original matrix
538 $                               and with the same numerical values.
539 $   MAT_SHARE_NONZERO_PATTERN - Create a matrix that shares the nonzero structure with the previous matrix
540 $                               and does not copy it, using zeros for the numerical values. The parent and
541 $                               child matrices will share their index (i and j) arrays, and you cannot
542 $                               insert new nonzero entries into either matrix.
543 
544 Notes:
545     Many matrix types (including SeqAIJ) do not support the MAT_SHARE_NONZERO_PATTERN optimization; in
546 this case the behavior is as if MAT_DO_NOT_COPY_VALUES has been specified.
547 
548 .seealso: MatDuplicate()
549 E*/
550 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
551 
552 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
553 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
554 
555 
556 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
557 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
558 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
559 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
560 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
561 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
562 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
563 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
564 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
565 
566 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
567 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
568 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
569 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
570 
571 /*S
572      MatInfo - Context of matrix information, used with MatGetInfo()
573 
574    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
575 
576    Level: intermediate
577 
578 .seealso:  MatGetInfo(), MatInfoType
579 S*/
580 typedef struct {
581   PetscLogDouble block_size;                         /* block size */
582   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
583   PetscLogDouble memory;                             /* memory allocated */
584   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
585   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
586   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
587   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
588 } MatInfo;
589 
590 /*E
591     MatInfoType - Indicates if you want information about the local part of the matrix,
592      the entire parallel matrix or the maximum over all the local parts.
593 
594     Level: beginner
595 
596    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
597 
598 .seealso: MatGetInfo(), MatInfo
599 E*/
600 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
601 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
602 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
603 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
604 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
605 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
606 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
607 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
608 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
609 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
610 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
611 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
612 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
613 
614 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
615 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
616 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
617 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
618 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
619 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
620 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
621 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
622 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
623 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
624 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat,PetscInt,PetscBool*);
625 
626 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
627 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
628 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
629 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
630 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
631 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
632 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
633 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
634 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
635 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
636 
637 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
638 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
639 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
640 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
641 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
642 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
643 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
644 
645 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
646 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);}
647 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
648 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);}
649 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
650 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
651 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
652 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);}
653 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
654 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
655 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
656 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
657 
658 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
659 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
660 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
661 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
662 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
663 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat,MatReuse,IS*,Mat*);
664 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
665 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
666 
667 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
668 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
669 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
670 
671 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
672 
673 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
674 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
675 
676 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
677 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
678 
679 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
680 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
681 
682 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
683 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
684 
685 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
686 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
687 
688 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
689 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
690 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
691 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat,PetscLayout,PetscLayout);
692 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
693 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
694 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
695 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
696 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
697 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
698 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
699 
700 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
701 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
702 
703 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
704 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
705 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
706 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
707 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);}
708 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
709 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
710 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
711 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
712 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
713 
714 /*MC
715    MatSetValue - Set a single entry into a matrix.
716 
717    Not collective
718 
719    Synopsis:
720      #include <petscmat.h>
721      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
722 
723    Input Parameters:
724 +  m - the matrix
725 .  row - the row location of the entry
726 .  col - the column location of the entry
727 .  value - the value to insert
728 -  mode - either INSERT_VALUES or ADD_VALUES
729 
730    Notes:
731    For efficiency one should use MatSetValues() and set several or many
732    values simultaneously if possible.
733 
734    Level: beginner
735 
736 .seealso: MatSetValues(), MatSetValueLocal()
737 M*/
738 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
739 
740 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
741 
742 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
743 
744 /*MC
745    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
746        row in a matrix providing the data that one can use to correctly preallocate the matrix.
747 
748    Synopsis:
749    #include <petscmat.h>
750    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
751 
752    Collective
753 
754    Input Parameters:
755 +  comm - the communicator that will share the eventually allocated matrix
756 .  nrows - the number of LOCAL rows in the matrix
757 -  ncols - the number of LOCAL columns in the matrix
758 
759    Output Parameters:
760 +  dnz - the array that will be passed to the matrix preallocation routines
761 -  onz - the other array passed to the matrix preallocation routines
762 
763    Level: intermediate
764 
765    Notes:
766     See Users-Manual: ch_performance for more details.
767 
768    Do not malloc or free dnz and onz, that is handled internally by these routines
769 
770    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
771 
772 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
773           MatPreallocateSymmetricSetLocalBlock()
774 M*/
775 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
776 do { \
777   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ncols = (ncols),__rstart,__start,__end; \
778   _4_ierr = PetscCalloc2((size_t)__nrows,&dnz,(size_t)__nrows,&onz);CHKERRQ(_4_ierr); \
779   __start = 0; __end = __start;                                         \
780   _4_ierr = MPI_Scan(&__ncols,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRMPI(_4_ierr); __start = __end - __ncols;\
781   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRMPI(_4_ierr); __rstart = __rstart - __nrows; \
782   do { } while (0)
783 
784 /*MC
785    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
786        inserted using a local number of the rows and columns
787 
788    Synopsis:
789    #include <petscmat.h>
790    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
791 
792    Not Collective
793 
794    Input Parameters:
795 +  map - the row mapping from local numbering to global numbering
796 .  nrows - the number of rows indicated
797 .  rows - the indices of the rows
798 .  cmap - the column mapping from local to global numbering
799 .  ncols - the number of columns in the matrix
800 .  cols - the columns indicated
801 .  dnz - the array that will be passed to the matrix preallocation routines
802 -  onz - the other array passed to the matrix preallocation routines
803 
804    Level: intermediate
805 
806    Notes:
807     See Users-Manual: ch_performance for more details.
808 
809    Do not malloc or free dnz and onz, that is handled internally by these routines
810 
811 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
812           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
813 M*/
814 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
815 do {\
816   PetscInt __l;\
817   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
818   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
819   for (__l=0;__l<nrows;__l++) {\
820     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
821   }\
822  } while (0)
823 
824 /*MC
825    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
826        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
827 
828    Synopsis:
829    #include <petscmat.h>
830    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
831 
832    Not Collective
833 
834    Input Parameters:
835 +  map - the row mapping from local numbering to global numbering
836 .  nrows - the number of rows indicated
837 .  rows - the indices of the rows (these values are mapped to the global values)
838 .  cmap - the column mapping from local to global numbering
839 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
840 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
841 .  dnz - the array that will be passed to the matrix preallocation routines
842 -  onz - the other array passed to the matrix preallocation routines
843 
844    Level: intermediate
845 
846    Notes:
847     See Users-Manual: ch_performance for more details.
848 
849    Do not malloc or free dnz and onz, that is handled internally by these routines
850 
851 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
852           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
853 M*/
854 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
855 do {\
856   PetscInt __l;\
857   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
858   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
859   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
860   for (__l=0;__l<nrows;__l++) {\
861     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
862   }\
863  } while (0)
864 
865 /*MC
866    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
867        inserted using a local number of the rows and columns
868 
869    Synopsis:
870    #include <petscmat.h>
871    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
872 
873    Not Collective
874 
875    Input Parameters:
876 +  map - the row mapping from local numbering to global numbering
877 .  nrows - the number of rows indicated
878 .  rows - the indices of the rows
879 .  cmap - the column mapping from local to global numbering
880 .  ncols - the number of columns in the matrix
881 .  cols - the columns indicated
882 .  dnz - the array that will be passed to the matrix preallocation routines
883 -  onz - the other array passed to the matrix preallocation routines
884 
885    Level: intermediate
886 
887    Notes:
888     See Users-Manual: ch_performance for more details.
889 
890    Do not malloc or free dnz and onz, that is handled internally by these routines
891 
892 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
893           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
894 M*/
895 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
896 do {\
897   PetscInt __l;\
898   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
899   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
900   for (__l=0;__l<nrows;__l++) {\
901     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
902   }\
903 } while (0)
904 
905 /*MC
906    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
907        inserted using a local number of the rows and columns
908 
909    Synopsis:
910    #include <petscmat.h>
911    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
912 
913    Not Collective
914 
915    Input Parameters:
916 +  map - the mapping between local numbering and global numbering
917 .  nrows - the number of rows indicated
918 .  rows - the indices of the rows
919 .  ncols - the number of columns in the matrix
920 .  cols - the columns indicated
921 .  dnz - the array that will be passed to the matrix preallocation routines
922 -  onz - the other array passed to the matrix preallocation routines
923 
924    Level: intermediate
925 
926    Notes:
927     See Users-Manual: ch_performance for more details.
928 
929    Do not malloc or free dnz and onz that is handled internally by these routines
930 
931 .seealso: MatPreallocateFinalize(), MatPreallocateSet()
932           MatPreallocateInitialize(),  MatPreallocateSetLocal()
933 M*/
934 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
935 do {\
936   PetscInt __l;\
937   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
938   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
939   for (__l=0;__l<nrows;__l++) {\
940     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
941   }\
942 } while (0)
943 
944 /*MC
945    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
946        inserted using a local number of the rows and columns
947 
948    Synopsis:
949    #include <petscmat.h>
950    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
951 
952    Not Collective
953 
954    Input Parameters:
955 +  row - the row
956 .  ncols - the number of columns in the matrix
957 -  cols - the columns indicated
958 
959    Output Parameters:
960 +  dnz - the array that will be passed to the matrix preallocation routines
961 -  onz - the other array passed to the matrix preallocation routines
962 
963    Level: intermediate
964 
965    Notes:
966     See Users-Manual: ch_performance for more details.
967 
968    Do not malloc or free dnz and onz that is handled internally by these routines
969 
970    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
971 
972 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
973           MatPreallocateInitialize(), MatPreallocateSetLocal()
974 M*/
975 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
976 do { PetscInt __i; \
977   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);\
978   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);\
979   for (__i=0; __i<nc; __i++) {\
980     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
981     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
982   }\
983 } while (0)
984 
985 /*MC
986    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
987        inserted using a local number of the rows and columns
988 
989    Synopsis:
990    #include <petscmat.h>
991    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
992 
993    Not Collective
994 
995    Input Parameters:
996 +  nrows - the number of rows indicated
997 .  rows - the indices of the rows
998 .  ncols - the number of columns in the matrix
999 .  cols - the columns indicated
1000 .  dnz - the array that will be passed to the matrix preallocation routines
1001 -  onz - the other array passed to the matrix preallocation routines
1002 
1003    Level: intermediate
1004 
1005    Notes:
1006     See Users-Manual: ch_performance for more details.
1007 
1008    Do not malloc or free dnz and onz that is handled internally by these routines
1009 
1010    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
1011 
1012 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
1013           MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
1014 M*/
1015 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
1016 do { PetscInt __i; \
1017   for (__i=0; __i<nc; __i++) {\
1018     if (cols[__i] >= __end) onz[row - __rstart]++; \
1019     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
1020   }\
1021 } while (0)
1022 
1023 /*MC
1024    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1025 
1026    Synopsis:
1027    #include <petscmat.h>
1028    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1029 
1030    Not Collective
1031 
1032    Input Parameters:
1033 +  A - matrix
1034 .  row - row where values exist (must be local to this process)
1035 .  ncols - number of columns
1036 .  cols - columns with nonzeros
1037 .  dnz - the array that will be passed to the matrix preallocation routines
1038 -  onz - the other array passed to the matrix preallocation routines
1039 
1040    Level: intermediate
1041 
1042    Notes:
1043     See Users-Manual: ch_performance for more details.
1044 
1045    Do not malloc or free dnz and onz that is handled internally by these routines
1046 
1047    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
1048 
1049 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1050           MatPreallocateSymmetricSetLocalBlock()
1051 M*/
1052 #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)
1053 
1054 
1055 /*MC
1056    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
1057        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1058 
1059    Synopsis:
1060    #include <petscmat.h>
1061    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
1062 
1063    Collective
1064 
1065    Input Parameters:
1066 +  dnz - the array that was be passed to the matrix preallocation routines
1067 -  onz - the other array passed to the matrix preallocation routines
1068 
1069    Level: intermediate
1070 
1071    Notes:
1072     See Users-Manual: ch_performance for more details.
1073 
1074    Do not malloc or free dnz and onz that is handled internally by these routines
1075 
1076    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
1077 
1078 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1079           MatPreallocateSymmetricSetLocalBlock()
1080 M*/
1081 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);} while (0)
1082 
1083 /* Routines unique to particular data structures */
1084 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
1085 
1086 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
1087 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1088 
1089 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1090 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1091 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1092 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1093 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1094 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
1095 
1096 #define MAT_SKIP_ALLOCATION -4
1097 
1098 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1099 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1100 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1101 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat,PetscInt);
1102 
1103 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1104 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1105 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1106 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1107 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1108 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1109 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1110 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1111 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat,Mat*);
1112 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1113 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1114 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1115 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1116 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1117 
1118 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat,PetscInt*);
1119 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat,PetscInt);
1120 PETSC_DEPRECATED_FUNCTION("Use MatDenseSetLDA() (since version 3.14)") PETSC_STATIC_INLINE PetscErrorCode MatSeqDenseSetLDA(Mat A,PetscInt lda) {return MatDenseSetLDA(A,lda);}
1121 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1122 
1123 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1124 
1125 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1126 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1127 
1128 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1129 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1130 /*
1131   These routines are not usually accessed directly, rather solving is
1132   done through the KSP and PC interfaces.
1133 */
1134 
1135 /*J
1136     MatOrderingType - String with the name of a PETSc matrix ordering
1137 
1138    Level: beginner
1139 
1140    Notes:
1141       If MATORDERINGEXTERNAL is used then PETSc does not compute an ordering and utilizes one built into the factorization package
1142 
1143 .seealso: MatGetOrdering()
1144 J*/
1145 typedef const char* MatOrderingType;
1146 #define MATORDERINGNATURAL        "natural"
1147 #define MATORDERINGND             "nd"
1148 #define MATORDERING1WD            "1wd"
1149 #define MATORDERINGRCM            "rcm"
1150 #define MATORDERINGQMD            "qmd"
1151 #define MATORDERINGROWLENGTH      "rowlength"
1152 #define MATORDERINGWBM            "wbm"
1153 #define MATORDERINGSPECTRAL       "spectral"
1154 #define MATORDERINGAMD            "amd"            /* only works if UMFPACK is installed with PETSc */
1155 #define MATORDERINGNATURAL_OR_ND  "natural_or_nd"  /* special coase used for Cholesky and ICC, allows ND when AIJ matrix is used but Natural when SBAIJ is used */
1156 #define MATORDERINGEXTERNAL       "external"       /* uses an ordering type internal to the factorization package */
1157 
1158 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1159 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1160 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1161 PETSC_EXTERN PetscFunctionList MatOrderingList;
1162 
1163 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1164 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1165 
1166 /*S
1167     MatFactorShiftType - Numeric Shift for factorizations
1168 
1169    Level: beginner
1170 
1171 .seealso: MatGetFactor()
1172 S*/
1173 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1174 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1175 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1176 
1177 /*S
1178     MatFactorError - indicates what type of error was generated in a matrix factorization
1179 
1180     Level: beginner
1181 
1182     Developer Notes:
1183     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1184 
1185 .seealso: MatGetFactor()
1186 S*/
1187 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1188 
1189 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1190 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1191 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1192 
1193 /*S
1194    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1195 
1196    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1197 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1198 
1199    Notes:
1200     These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1201 
1202       You can use MatFactorInfoInitialize() to set default values.
1203 
1204    Level: developer
1205 
1206 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1207           MatFactorInfoInitialize()
1208 
1209 S*/
1210 typedef struct {
1211   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1212   PetscReal     usedt;
1213   PetscReal     dt;             /* drop tolerance */
1214   PetscReal     dtcol;          /* tolerance for pivoting */
1215   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1216   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1217   PetscReal     levels;         /* ICC/ILU(levels) */
1218   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1219                                    factorization may be faster if do not pivot */
1220   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1221   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1222   PetscReal     shiftamount;     /* how large the shift is */
1223 } MatFactorInfo;
1224 
1225 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1226 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1227 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1228 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1229 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1230 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1231 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1232 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1233 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1234 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1235 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1236 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1237 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1238 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1239 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1240 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1241 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1242 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1243 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1244 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1245 
1246 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1247 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1248 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1249 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1250 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1251 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1252 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1253 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1254 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1255 
1256 /*E
1257     MatSORType - What type of (S)SOR to perform
1258 
1259     Level: beginner
1260 
1261    May be bitwise ORd together
1262 
1263    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1264 
1265    MatSORType may be bitwise ORd together, so do not change the numbers
1266 
1267 .seealso: MatSOR()
1268 E*/
1269 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1270               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1271               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1272               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1273 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1274 
1275 /*
1276     These routines are for efficiently computing Jacobians via finite differences.
1277 */
1278 
1279 /*S
1280      MatColoring - Object for managing the coloring of matrices.
1281 
1282    Level: beginner
1283 
1284     Notes:
1285        Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the MatColoring object or from the mesh from which the
1286        matrix comes from via DMCreateColoring(). In general using the mesh produces a more optimal coloring (fewer colors).
1287 
1288        Once a coloring is available MatFDColoringCreate() creates an object that can be used to efficiently compute Jacobians using that coloring. This
1289        same object can also be used to efficiently convert data created by Automatic Differentation tools to PETSc sparse matrices.
1290 
1291 .seealso:  MatFDColoringCreate(), MatColoringWeightType, ISColoring, MatFDColoring, DMCreateColoring(), MatColoringCreate(), MatOrdering, MatPartitioning
1292 S*/
1293 typedef struct _p_MatColoring* MatColoring;
1294 
1295 /*J
1296     MatColoringType - String with the name of a PETSc matrix coloring
1297 
1298    Level: beginner
1299 
1300 .seealso: MatColoringSetType(), MatColoring
1301 J*/
1302 typedef const  char*           MatColoringType;
1303 #define MATCOLORINGJP      "jp"
1304 #define MATCOLORINGPOWER   "power"
1305 #define MATCOLORINGNATURAL "natural"
1306 #define MATCOLORINGSL      "sl"
1307 #define MATCOLORINGLF      "lf"
1308 #define MATCOLORINGID      "id"
1309 #define MATCOLORINGGREEDY  "greedy"
1310 
1311 /*E
1312    MatColoringWeightType - Type of weight scheme
1313 
1314     Not Collective
1315 
1316 +   MAT_COLORING_RANDOM  - Random weights
1317 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1318 -   MAT_COLORING_LF      - Last-first weighting.
1319 
1320     Level: intermediate
1321 
1322    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1323 
1324 .seealso: MatColoring, MatColoringCreate()
1325 E*/
1326 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1327 
1328 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1329 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1330 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1331 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1332 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1333 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1334 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1335 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1336 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1337 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1338 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1339 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1340 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1341 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1342 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1343 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1344 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring,ISColoring);
1345 PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") PETSC_STATIC_INLINE PetscErrorCode MatColoringTestValid(MatColoring matcoloring,ISColoring iscoloring) {return MatColoringTest(matcoloring,iscoloring);}
1346 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat,ISColoring);
1347 
1348 /*S
1349      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1350         and coloring
1351 
1352    Level: beginner
1353 
1354    Notes:
1355       This object is creating utilizing a coloring provided by the MatColoring object or DMCreateColoring()
1356 
1357 .seealso:  MatFDColoringCreate(), MatColoring, DMCreateColoring()
1358 S*/
1359 typedef struct _p_MatFDColoring* MatFDColoring;
1360 
1361 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1362 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1363 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1364 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1365 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1366 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1367 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1368 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1369 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1370 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1371 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1372 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1373 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat,MatFDColoring,const PetscScalar*);
1374 
1375 /*S
1376      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1377 
1378    Level: beginner
1379 
1380 .seealso:  MatTransposeColoringCreate()
1381 S*/
1382 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1383 
1384 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1385 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1386 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1387 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1388 
1389 /*
1390     These routines are for partitioning matrices: currently used only
1391   for adjacency matrix, MatCreateMPIAdj().
1392 */
1393 
1394 /*S
1395      MatPartitioning - Object for managing the partitioning of a matrix or graph
1396 
1397    Level: beginner
1398 
1399    Notes:
1400      There is also a PetscPartitioner object that provides the same functionality. It can utilize the MatPartitioning operations
1401      via PetscPartitionerSetType(p,PETSCPARTITIONERMATPARTITIONING)
1402 
1403    Developers Note:
1404      It is an extra maintainance and documentation cost to have two objects with the same functionality.
1405 
1406 .seealso:  MatPartitioningCreate(), MatPartitioningType, MatColoring, MatGetOrdering()
1407 S*/
1408 typedef struct _p_MatPartitioning* MatPartitioning;
1409 
1410 /*J
1411     MatPartitioningType - String with the name of a PETSc matrix partitioning
1412 
1413    Level: beginner
1414 dm
1415 .seealso: MatPartitioningCreate(), MatPartitioning
1416 J*/
1417 typedef const char* MatPartitioningType;
1418 #define MATPARTITIONINGCURRENT  "current"
1419 #define MATPARTITIONINGAVERAGE   "average"
1420 #define MATPARTITIONINGSQUARE   "square"
1421 #define MATPARTITIONINGPARMETIS "parmetis"
1422 #define MATPARTITIONINGCHACO    "chaco"
1423 #define MATPARTITIONINGPARTY    "party"
1424 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1425 #define MATPARTITIONINGHIERARCH  "hierarch"
1426 
1427 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1428 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1429 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1430 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1431 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1432 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1433 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning,PetscBool);
1434 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning,PetscBool*);
1435 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1436 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning,IS*);
1437 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning,IS);
1438 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning,IS*);
1439 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1440 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1441 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1442 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning,PetscObject,const char[]);
1443 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1444 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1445 
1446 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1447 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1448 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1449 
1450 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1451 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1452 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1453 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1454 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1455 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1456 
1457 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1458 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1459 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1460 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1461 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1462 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1463 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1464 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1465 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1466 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1467 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1468 
1469 #define MP_PARTY_OPT "opt"
1470 #define MP_PARTY_LIN "lin"
1471 #define MP_PARTY_SCA "sca"
1472 #define MP_PARTY_RAN "ran"
1473 #define MP_PARTY_GBF "gbf"
1474 #define MP_PARTY_GCF "gcf"
1475 #define MP_PARTY_BUB "bub"
1476 #define MP_PARTY_DEF "def"
1477 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1478 #define MP_PARTY_HELPFUL_SETS "hs"
1479 #define MP_PARTY_KERNIGHAN_LIN "kl"
1480 #define MP_PARTY_NONE "no"
1481 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1482 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1483 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1484 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1485 
1486 typedef enum { MP_PTSCOTCH_DEFAULT,MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1487 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1488 
1489 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1490 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1491 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1492 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1493 
1494 /*
1495  * hierarchical partitioning
1496  */
1497 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1498 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1499 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1500 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1501 
1502 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1503 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1504 
1505 /*
1506     If you add entries here you must also add them to include/petscmat.h
1507     and src/mat/f90-mod/petscmat.h
1508 */
1509 typedef enum { MATOP_SET_VALUES=0,
1510                MATOP_GET_ROW=1,
1511                MATOP_RESTORE_ROW=2,
1512                MATOP_MULT=3,
1513                MATOP_MULT_ADD=4,
1514                MATOP_MULT_TRANSPOSE=5,
1515                MATOP_MULT_TRANSPOSE_ADD=6,
1516                MATOP_SOLVE=7,
1517                MATOP_SOLVE_ADD=8,
1518                MATOP_SOLVE_TRANSPOSE=9,
1519                MATOP_SOLVE_TRANSPOSE_ADD=10,
1520                MATOP_LUFACTOR=11,
1521                MATOP_CHOLESKYFACTOR=12,
1522                MATOP_SOR=13,
1523                MATOP_TRANSPOSE=14,
1524                MATOP_GETINFO=15,
1525                MATOP_EQUAL=16,
1526                MATOP_GET_DIAGONAL=17,
1527                MATOP_DIAGONAL_SCALE=18,
1528                MATOP_NORM=19,
1529                MATOP_ASSEMBLY_BEGIN=20,
1530                MATOP_ASSEMBLY_END=21,
1531                MATOP_SET_OPTION=22,
1532                MATOP_ZERO_ENTRIES=23,
1533                MATOP_ZERO_ROWS=24,
1534                MATOP_LUFACTOR_SYMBOLIC=25,
1535                MATOP_LUFACTOR_NUMERIC=26,
1536                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1537                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1538                MATOP_SETUP_PREALLOCATION=29,
1539                MATOP_ILUFACTOR_SYMBOLIC=30,
1540                MATOP_ICCFACTOR_SYMBOLIC=31,
1541                MATOP_GET_DIAGONAL_BLOCK=32,
1542                MATOP_FREE_INTER_STRUCT=33,
1543                MATOP_DUPLICATE=34,
1544                MATOP_FORWARD_SOLVE=35,
1545                MATOP_BACKWARD_SOLVE=36,
1546                MATOP_ILUFACTOR=37,
1547                MATOP_ICCFACTOR=38,
1548                MATOP_AXPY=39,
1549                MATOP_CREATE_SUBMATRICES=40,
1550                MATOP_INCREASE_OVERLAP=41,
1551                MATOP_GET_VALUES=42,
1552                MATOP_COPY=43,
1553                MATOP_GET_ROW_MAX=44,
1554                MATOP_SCALE=45,
1555                MATOP_SHIFT=46,
1556                MATOP_DIAGONAL_SET=47,
1557                MATOP_ZERO_ROWS_COLUMNS=48,
1558                MATOP_SET_RANDOM=49,
1559                MATOP_GET_ROW_IJ=50,
1560                MATOP_RESTORE_ROW_IJ=51,
1561                MATOP_GET_COLUMN_IJ=52,
1562                MATOP_RESTORE_COLUMN_IJ=53,
1563                MATOP_FDCOLORING_CREATE=54,
1564                MATOP_COLORING_PATCH=55,
1565                MATOP_SET_UNFACTORED=56,
1566                MATOP_PERMUTE=57,
1567                MATOP_SET_VALUES_BLOCKED=58,
1568                MATOP_CREATE_SUBMATRIX=59,
1569                MATOP_DESTROY=60,
1570                MATOP_VIEW=61,
1571                MATOP_CONVERT_FROM=62,
1572                MATOP_MATMAT_MULT=63,
1573                MATOP_MATMAT_MULT_SYMBOLIC=64,
1574                MATOP_MATMAT_MULT_NUMERIC=65,
1575                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1576                MATOP_SET_VALUES_LOCAL=67,
1577                MATOP_ZERO_ROWS_LOCAL=68,
1578                MATOP_GET_ROW_MAX_ABS=69,
1579                MATOP_GET_ROW_MIN_ABS=70,
1580                MATOP_CONVERT=71,
1581                MATOP_SET_COLORING=72,
1582                /* MATOP_PLACEHOLDER_73=73, */
1583                MATOP_SET_VALUES_ADIFOR=74,
1584                MATOP_FD_COLORING_APPLY=75,
1585                MATOP_SET_FROM_OPTIONS=76,
1586                MATOP_MULT_CONSTRAINED=77,
1587                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1588                MATOP_FIND_ZERO_DIAGONALS=79,
1589                MATOP_MULT_MULTIPLE=80,
1590                MATOP_SOLVE_MULTIPLE=81,
1591                MATOP_GET_INERTIA=82,
1592                MATOP_LOAD=83,
1593                MATOP_IS_SYMMETRIC=84,
1594                MATOP_IS_HERMITIAN=85,
1595                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1596                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1597                MATOP_CREATE_VECS=88,
1598                MATOP_MAT_MULT=89,
1599                MATOP_MAT_MULT_SYMBOLIC=90,
1600                MATOP_MAT_MULT_NUMERIC=91,
1601                MATOP_PTAP=92,
1602                MATOP_PTAP_SYMBOLIC=93,
1603                MATOP_PTAP_NUMERIC=94,
1604                MATOP_MAT_TRANSPOSE_MULT=95,
1605                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1606                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1607                /* MATOP_PLACEHOLDER_98=98, */
1608                MATOP_PRODUCTSETFROMOPTIONS=99,
1609                MATOP_PRODUCTSYMBOLIC=100,
1610                MATOP_PRODUCTNUMERIC=101,
1611                MATOP_CONJUGATE=102,
1612                /* MATOP_PLACEHOLDER_103=103, */
1613                MATOP_SET_VALUES_ROW=104,
1614                MATOP_REAL_PART=105,
1615                MATOP_IMAGINARY_PART=106,
1616                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1617                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1618                MATOP_MAT_SOLVE=109,
1619                MATOP_MAT_SOLVE_TRANSPOSE=110,
1620                MATOP_GET_ROW_MIN=111,
1621                MATOP_GET_COLUMN_VECTOR=112,
1622                MATOP_MISSING_DIAGONAL=113,
1623                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1624                MATOP_CREATE=115,
1625                MATOP_GET_GHOSTS=116,
1626                MATOP_GET_LOCAL_SUB_MATRIX=117,
1627                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1628                MATOP_MULT_DIAGONAL_BLOCK=119,
1629                MATOP_HERMITIAN_TRANSPOSE=120,
1630                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1631                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1632                MATOP_GET_MULTI_PROC_BLOCK=123,
1633                MATOP_FIND_NONZERO_ROWS=124,
1634                MATOP_GET_COLUMN_NORMS=125,
1635                MATOP_INVERT_BLOCK_DIAGONAL=126,
1636                /* MATOP_PLACEHOLDER_127=127, */
1637                MATOP_CREATE_SUB_MATRICES_MPI=128,
1638                MATOP_SET_VALUES_BATCH=129,
1639                MATOP_TRANSPOSE_MAT_MULT=130,
1640                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1641                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1642                MATOP_TRANSPOSE_COLORING_CREAT=133,
1643                MATOP_TRANS_COLORING_APPLY_SPT=134,
1644                MATOP_TRANS_COLORING_APPLY_DEN=135,
1645                MATOP_RART=136,
1646                MATOP_RART_SYMBOLIC=137,
1647                MATOP_RART_NUMERIC=138,
1648                MATOP_SET_BLOCK_SIZES=139,
1649                MATOP_AYPX=140,
1650                MATOP_RESIDUAL=141,
1651                MATOP_FDCOLORING_SETUP=142,
1652                MATOP_MPICONCATENATESEQ=144,
1653                MATOP_DESTROYSUBMATRICES=145,
1654                MATOP_TRANSPOSE_SOLVE=146,
1655                MATOP_GET_VALUES_LOCAL=147
1656              } MatOperation;
1657 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat,MatOperation,void(*)(void));
1658 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat,MatOperation,void(**)(void));
1659 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool*);
1660 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat,PetscBool*);
1661 PETSC_DEPRECATED_FUNCTION("Use MatProductClear() (since version 3.14)") PETSC_STATIC_INLINE PetscErrorCode MatFreeIntermediateDataStructures(Mat A) {return MatProductClear(A);}
1662 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1663 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1664 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1665 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat,VecType);
1666 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1667 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1668 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1669 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat,MatProductType,PetscErrorCode (*)(Mat,Mat,Mat,void**),PetscErrorCode (*)(Mat,Mat,Mat,void*),PetscErrorCode (*)(void*),MatType,MatType);
1670 PETSC_EXTERN PetscErrorCode MatIsShell(Mat,PetscBool*);
1671 
1672 /*
1673    Codes for matrices stored on disk. By default they are
1674    stored in a universal format. By changing the format with
1675    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1676    be stored in a way natural for the matrix, for example dense matrices
1677    would be stored as dense. Matrices stored this way may only be
1678    read into matrices of the same type.
1679 */
1680 #define MATRIX_BINARY_FORMAT_DENSE -1
1681 
1682 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1683 
1684 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat,MatType);
1685 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1686 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat,PetscBool);
1687 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat,PetscBool);
1688 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1689 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1690 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1691 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1692 
1693 /*S
1694      MatNullSpace - Object that removes a null space from a vector, i.e.
1695          orthogonalizes the vector to a subsapce
1696 
1697    Level: advanced
1698 
1699   Users manual sections:
1700 .   sec_singular
1701 
1702 .seealso:  MatNullSpaceCreate()
1703 S*/
1704 typedef struct _p_MatNullSpace* MatNullSpace;
1705 
1706 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1707 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1708 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1709 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1710 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1711 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1712 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1713 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1714 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1715 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1716 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1717 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1718 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1719 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1720 
1721 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1722 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1723 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1724 
1725 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1726 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1727 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1728 
1729 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat,MatType,Mat*);
1730 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat,MatType,Mat*);
1731 
1732 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") PETSC_STATIC_INLINE PetscErrorCode MatComputeExplicitOperator(Mat A,Mat* B) { return MatComputeOperator(A,NULL,B); }
1733 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") PETSC_STATIC_INLINE PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A,Mat* B) { return MatComputeOperatorTranspose(A,NULL,B); }
1734 
1735 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat,PetscInt,PetscInt,const PetscScalar[],const PetscScalar[],Mat*);
1736 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat,Mat*);
1737 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat,PetscInt*,PetscInt*,PetscScalar**);
1738 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1739 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat,PetscScalar**);
1740 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat,const PetscScalar**);
1741 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat,PetscInt*,PetscInt*,PetscScalar**);
1742 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1743 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat,PetscScalar**);
1744 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat,const PetscScalar**);
1745 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat,Mat);
1746 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat,PetscInt,PetscInt,const PetscScalar[]);
1747 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat,PetscInt,PetscInt,const PetscScalar[]);
1748 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat,PetscBool*);
1749 
1750 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1751 
1752 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1753 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1754 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1755 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1756 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1757 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1758 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1759 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1760 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1761 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1762 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1763 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1764 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1765 
1766 /*S
1767     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1768               Jacobian vector products
1769 
1770     Notes:
1771     MATMFFD is a specific MatType which uses the MatMFFD data structure
1772 
1773            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1774 
1775     Level: developer
1776 
1777 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1778 S*/
1779 typedef struct _p_MatMFFD* MatMFFD;
1780 
1781 /*J
1782     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1783 
1784    Level: beginner
1785 
1786 .seealso: MatMFFDSetType(), MatMFFDRegister()
1787 J*/
1788 typedef const char* MatMFFDType;
1789 #define MATMFFD_DS  "ds"
1790 #define MATMFFD_WP  "wp"
1791 
1792 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1793 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1794 
1795 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1796 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool);
1797 
1798 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1799 
1800 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1801 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1802 
1803 #ifdef PETSC_HAVE_HARA
1804 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatHaraKernel)(PetscInt,PetscReal[],PetscReal[],void*);
1805 PETSC_EXTERN PetscErrorCode MatCreateHaraFromKernel(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscReal[],MatHaraKernel,void*,PetscReal,PetscInt,PetscInt,Mat*);
1806 PETSC_EXTERN PetscErrorCode MatCreateHaraFromMat(Mat,PetscInt,const PetscReal[],PetscReal,PetscInt,PetscInt,PetscInt,PetscReal,Mat*);
1807 PETSC_EXTERN PetscErrorCode MatHaraSetSamplingMat(Mat,Mat,PetscInt,PetscReal);
1808 #endif
1809 
1810 /*
1811    PETSc interface to MUMPS
1812 */
1813 #ifdef PETSC_HAVE_MUMPS
1814 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1815 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1816 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1817 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1818 
1819 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1820 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1821 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1822 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1823 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat,Mat);
1824 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat,Mat);
1825 #endif
1826 
1827 /*
1828    PETSc interface to Mkl_Pardiso
1829 */
1830 #ifdef PETSC_HAVE_MKL_PARDISO
1831 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1832 #endif
1833 
1834 /*
1835    PETSc interface to Mkl_CPardiso
1836 */
1837 #ifdef PETSC_HAVE_MKL_CPARDISO
1838 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1839 #endif
1840 
1841 /*
1842    PETSc interface to SUPERLU
1843 */
1844 #ifdef PETSC_HAVE_SUPERLU
1845 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1846 #endif
1847 
1848 /*
1849    PETSc interface to SUPERLU_DIST
1850 */
1851 #ifdef PETSC_HAVE_SUPERLU_DIST
1852 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1853 #endif
1854 
1855 /*
1856    PETSc interface to STRUMPACK
1857 */
1858 #ifdef PETSC_HAVE_STRUMPACK
1859 /*E
1860     MatSTRUMPACKReordering - sparsity reducing ordering to be used in STRUMPACK
1861 
1862     Level: intermediate
1863 E*/
1864 typedef enum {MAT_STRUMPACK_NATURAL=0,
1865               MAT_STRUMPACK_METIS=1,
1866               MAT_STRUMPACK_PARMETIS=2,
1867               MAT_STRUMPACK_SCOTCH=3,
1868               MAT_STRUMPACK_PTSCOTCH=4,
1869               MAT_STRUMPACK_RCM=5} MatSTRUMPACKReordering;
1870 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat,MatSTRUMPACKReordering);
1871 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1872 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat,PetscReal);
1873 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat,PetscReal rtol) {return MatSTRUMPACKSetHSSRelTol(mat,rtol);}
1874 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat,PetscReal);
1875 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat,PetscInt);
1876 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat,PetscInt hssminsize) {return MatSTRUMPACKSetHSSMinSepSize(mat,hssminsize);}
1877 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat,PetscInt);
1878 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat,PetscInt);
1879 #endif
1880 
1881 
1882 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat,PetscBool);
1883 PETSC_DEPRECATED_FUNCTION("Use MatBindToCPU (since v3.13)") PETSC_STATIC_INLINE PetscErrorCode MatPinToCPU(Mat A,PetscBool flg) {return MatBindToCPU(A,flg);}
1884 
1885 typedef struct _p_SplitCSRMat PetscSplitCSRDataStructure;
1886 
1887 #ifdef PETSC_HAVE_KOKKOS_KERNELS
1888 PETSC_EXTERN PetscErrorCode MatKokkosGetDeviceMatWrite(Mat,PetscSplitCSRDataStructure**);
1889 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosSetDeviceMat(Mat, PetscSplitCSRDataStructure *);
1890 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosGetDeviceMat(Mat, PetscSplitCSRDataStructure **);
1891 #endif
1892 
1893 #ifdef PETSC_HAVE_CUDA
1894 /*E
1895     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1896     matrices.
1897 
1898     Not Collective
1899 
1900 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1901 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1902 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1903 
1904     Level: intermediate
1905 
1906    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1907 
1908 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1909 E*/
1910 
1911 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1912 
1913 /* these will be strings associated with enumerated type defined above */
1914 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1915 
1916 /*E
1917     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1918     matrices whose operation should use a particular storage format.
1919 
1920     Not Collective
1921 
1922 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1923 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1924 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1925 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1926 
1927     Level: intermediate
1928 
1929 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1930 E*/
1931 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1932 
1933 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1934 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1935 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1936 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSESetGenerateTranspose(Mat,PetscBool);
1937 PETSC_EXTERN PetscErrorCode MatAIJCUSPARSESetGenerateTranspose(Mat,PetscBool);
1938 
1939 PETSC_EXTERN PetscErrorCode MatCUSPARSEGetDeviceMatWrite(Mat,PetscSplitCSRDataStructure**);
1940 
1941 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
1942 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
1943 PETSC_EXTERN PetscErrorCode MatMPIDenseCUDASetPreallocation(Mat,PetscScalar[]);
1944 PETSC_EXTERN PetscErrorCode MatSeqDenseCUDASetPreallocation(Mat,PetscScalar[]);
1945 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat,PetscScalar**);
1946 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat,const PetscScalar**);
1947 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat,PetscScalar**);
1948 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat,PetscScalar**);
1949 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat,const PetscScalar**);
1950 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat,PetscScalar**);
1951 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat,const PetscScalar*);
1952 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat,const PetscScalar*);
1953 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
1954 
1955 #endif
1956 
1957 #if defined(PETSC_HAVE_VIENNACL)
1958 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1959 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1960 #endif
1961 
1962 /*
1963    PETSc interface to FFTW
1964 */
1965 #if defined(PETSC_HAVE_FFTW)
1966 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1967 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1968 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1969 #endif
1970 
1971 #if defined(PETSC_HAVE_SCALAPACK)
1972 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1973 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat,PetscInt,PetscInt);
1974 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat,PetscInt*,PetscInt*);
1975 #endif
1976 
1977 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1978 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1979 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1980 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1981 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1982 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1983 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1984 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1985 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1986 
1987 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1988 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1989 
1990 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1991 
1992 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1993 
1994 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1995 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1996 #endif
1997