xref: /petsc/include/petscmat.h (revision 47c3d8b7db0e56c1014ebf36b0d4f9871dac07cd)
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 MATAIJVIENNACL     "aijviennacl"
44 #define MATSEQAIJVIENNACL  "seqaijviennacl"
45 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
46 #define MATAIJPERM         "aijperm"
47 #define MATSEQAIJPERM      "seqaijperm"
48 #define MATMPIAIJPERM      "mpiaijperm"
49 #define MATAIJSELL         "aijsell"
50 #define MATSEQAIJSELL      "seqaijsell"
51 #define MATMPIAIJSELL      "mpiaijsell"
52 #define MATAIJMKL          "aijmkl"
53 #define MATSEQAIJMKL       "seqaijmkl"
54 #define MATMPIAIJMKL       "mpiaijmkl"
55 #define MATBAIJMKL         "baijmkl"
56 #define MATSEQBAIJMKL      "seqbaijmkl"
57 #define MATMPIBAIJMKL      "mpibaijmkl"
58 #define MATSHELL           "shell"
59 #define MATDENSE           "dense"
60 #define MATDENSECUDA       "densecuda"
61 #define MATSEQDENSE        "seqdense"
62 #define MATSEQDENSECUDA    "seqdensecuda"
63 #define MATMPIDENSE        "mpidense"
64 #define MATMPIDENSECUDA    "mpidensecuda"
65 #define MATELEMENTAL       "elemental"
66 #define MATBAIJ            "baij"
67 #define MATSEQBAIJ         "seqbaij"
68 #define MATMPIBAIJ         "mpibaij"
69 #define MATMPIADJ          "mpiadj"
70 #define MATSBAIJ           "sbaij"
71 #define MATSEQSBAIJ        "seqsbaij"
72 #define MATMPISBAIJ        "mpisbaij"
73 #define MATDAAD            "daad"
74 #define MATMFFD            "mffd"
75 #define MATNORMAL          "normal"
76 #define MATNORMALHERMITIAN "normalh"
77 #define MATLRC             "lrc"
78 #define MATSCATTER         "scatter"
79 #define MATBLOCKMAT        "blockmat"
80 #define MATCOMPOSITE       "composite"
81 #define MATFFT             "fft"
82 #define MATFFTW            "fftw"
83 #define MATSEQCUFFT        "seqcufft"
84 #define MATTRANSPOSEMAT    "transpose"
85 #define MATSCHURCOMPLEMENT "schurcomplement"
86 #define MATPYTHON          "python"
87 #define MATHYPRE           "hypre"
88 #define MATHYPRESTRUCT     "hyprestruct"
89 #define MATHYPRESSTRUCT    "hypresstruct"
90 #define MATSUBMATRIX       "submatrix"
91 #define MATLOCALREF        "localref"
92 #define MATNEST            "nest"
93 #define MATPREALLOCATOR    "preallocator"
94 #define MATSELL            "sell"
95 #define MATSEQSELL         "seqsell"
96 #define MATMPISELL         "mpisell"
97 #define MATDUMMY           "dummy"
98 #define MATLMVM            "lmvm"
99 #define MATLMVMDFP         "lmvmdfp"
100 #define MATLMVMBFGS        "lmvmbfgs"
101 #define MATLMVMSR1         "lmvmsr1"
102 #define MATLMVMBROYDEN     "lmvmbroyden"
103 #define MATLMVMBADBROYDEN  "lmvmbadbroyden"
104 #define MATLMVMSYMBROYDEN  "lmvmsymbroyden"
105 #define MATLMVMSYMBADBROYDEN "lmvmsymbadbroyden"
106 #define MATLMVMDIAGBROYDEN   "lmvmdiagbroyden"
107 #define MATCONSTANTDIAGONAL  "constantdiagonal"
108 #define MATHARA              "hara"
109 
110 /*J
111     MatSolverType - String with the name of a PETSc matrix solver type.
112 
113     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
114 
115    Level: beginner
116 
117    Notes:  MATSOLVERUMFPACK, MATSOLVERCHOLMOD, MATSOLVERKLU form the SuiteSparse package for which you can use --download-suitesparse
118 
119 .seealso: MatGetFactor(), PCFactorSetMatSolverType(), PCFactorGetMatSolverType()
120 J*/
121 typedef const char* MatSolverType;
122 #define MATSOLVERSUPERLU          "superlu"
123 #define MATSOLVERSUPERLU_DIST     "superlu_dist"
124 #define MATSOLVERSTRUMPACK        "strumpack"
125 #define MATSOLVERUMFPACK          "umfpack"
126 #define MATSOLVERCHOLMOD          "cholmod"
127 #define MATSOLVERKLU              "klu"
128 #define MATSOLVERSPARSEELEMENTAL  "sparseelemental"
129 #define MATSOLVERELEMENTAL        "elemental"
130 #define MATSOLVERESSL             "essl"
131 #define MATSOLVERLUSOL            "lusol"
132 #define MATSOLVERMUMPS            "mumps"
133 #define MATSOLVERMKL_PARDISO      "mkl_pardiso"
134 #define MATSOLVERMKL_CPARDISO     "mkl_cpardiso"
135 #define MATSOLVERPASTIX           "pastix"
136 #define MATSOLVERMATLAB           "matlab"
137 #define MATSOLVERPETSC            "petsc"
138 #define MATSOLVERBAS              "bas"
139 #define MATSOLVERCUSPARSE         "cusparse"
140 #define MATSOLVERCUDA             "cuda"
141 
142 /*E
143     MatFactorType - indicates what type of factorization is requested
144 
145     Level: beginner
146 
147    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
148 
149 .seealso: MatSolverType, MatGetFactor()
150 E*/
151 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
152 PETSC_EXTERN const char *const MatFactorTypes[];
153 
154 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,MatSolverType,MatFactorType,Mat*);
155 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,MatSolverType,MatFactorType,PetscBool *);
156 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat,MatSolverType*);
157 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
158 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat,MatFactorType);
159 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType,MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
160 PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType,MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));
161 typedef MatSolverType MatSolverPackage PETSC_DEPRECATED_TYPEDEF("Use MatSolverType (since version 3.9)");
162 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeRegister() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSolverPackageRegister(MatSolverType stype,MatType mtype,MatFactorType ftype,PetscErrorCode(*f)(Mat,MatFactorType,Mat*))
163 { return MatSolverTypeRegister(stype,mtype,ftype,f); }
164 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeGet() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSolverPackageGet(MatSolverType stype,MatType mtype,MatFactorType ftype,PetscBool *foundmtype,PetscBool *foundstype,PetscErrorCode(**f)(Mat,MatFactorType,Mat*))
165 { return MatSolverTypeGet(stype,mtype,ftype,foundmtype,foundstype,f); }
166 
167 /*E
168     MatProductType - indicates what type of matrix product is requested
169 
170     Level: beginner
171 
172 .seealso: MatSolverType, MatProductSetType()
173 E*/
174 typedef enum {MATPRODUCT_UNSPECIFIED=0,MATPRODUCT_AB,MATPRODUCT_AtB,MATPRODUCT_ABt,MATPRODUCT_PtAP,MATPRODUCT_RARt,MATPRODUCT_ABC} MatProductType;
175 PETSC_EXTERN const char *const MatProductTypes[];
176 
177 /*J
178     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
179 
180    Level: beginner
181 
182 .seealso: MatSetType(), Mat, MatSolverType, MatRegister(), MatProductSetAlgorithm(), MatProductType
183 J*/
184 typedef const char* MatProductAlgorithm;
185 #define MATPRODUCTALGORITHM_DEFAULT "default"
186 
187 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat,Mat,Mat,Mat*);
188 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat,Mat,Mat,Mat);
189 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat,MatProductType);
190 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat,MatProductAlgorithm);
191 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat,PetscReal);
192 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
193 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
194 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
195 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat,Mat,Mat,Mat);
196 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
197 PETSC_EXTERN PetscErrorCode MatProductView(Mat,PetscViewer);
198 
199 /* Logging support */
200 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
201 PETSC_EXTERN PetscClassId MAT_CLASSID;
202 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
203 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
204 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
205 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
206 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
207 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
208 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
209 
210 /*E
211     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
212      are to be reused to store the new matrix values.
213 
214 $  MAT_INITIAL_MATRIX - create a new matrix
215 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
216 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
217 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
218 
219     Level: beginner
220 
221    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
222 
223 .seealso: MatCreateSubMatrices(), MatCreateSubMatrix(), MatDestroyMatrices(), MatConvert()
224 E*/
225 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
226 
227 /*E
228     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
229      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
230 
231     Level: beginner
232 
233 .seealso: MatGetSeqNonzerostructure()
234 E*/
235 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatCreateSubMatrixOption;
236 
237 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
238 
239 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
240 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
241 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
242 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat,VecType*);
243 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat,VecType);
244 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
245 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat,PetscObject,const char[]);
246 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
247 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[],const char[],const char[]);
248 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
249 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
250 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
251 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
252 
253 PETSC_EXTERN PetscFunctionList MatList;
254 PETSC_EXTERN PetscFunctionList MatColoringList;
255 PETSC_EXTERN PetscFunctionList MatPartitioningList;
256 
257 /*E
258     MatStructure - Indicates if two matrices have the same nonzero structure
259 
260     Level: beginner
261 
262    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
263 
264 .seealso: MatCopy(), MatAXPY()
265 E*/
266 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
267 
268 #if defined PETSC_HAVE_MKL_SPARSE
269 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
270 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
271 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
272 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
273 #endif
274 
275 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
276 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
277 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat,PetscInt,const PetscInt[]);
278 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
279 
280 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
281 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
282 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
283 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
284 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
285 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
286 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
287 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm,Mat,Mat,const PetscInt[],Mat*);
288 
289 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
290 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
291 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
292 
293 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
294 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
295 
296 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
297 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
298 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
299 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
300 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
301 
302 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
303 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
304 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
305 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
306 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
307 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
308 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
309 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
310 
311 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
312 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
313 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
314 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
315 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
316 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
317 typedef enum {MAT_COMPOSITE_MERGE_RIGHT,MAT_COMPOSITE_MERGE_LEFT} MatCompositeMergeType;
318 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat,MatCompositeMergeType);
319 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
320 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
321 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
322 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat,MatCompositeType*);
323 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat,MatStructure);
324 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat,MatStructure*);
325 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat,PetscInt*);
326 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat,PetscInt,Mat*);
327 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat,const PetscScalar*);
328 
329 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
330 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
331 
332 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
333 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
334 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
335 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat,Mat*);
336 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
337 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
338 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
339 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar,Mat*);
340 
341 #if defined(PETSC_HAVE_HYPRE)
342 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
343 #endif
344 
345 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
346 
347 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
348 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
349 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
350 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
351 
352 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
353 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
354 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
355 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
356 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
357 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
358 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat,PetscInt,const PetscInt*,PetscScalar*);
359 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat,Mat);
360 
361 /* ------------------------------------------------------------*/
362 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
363 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
364 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
365 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
366 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
367 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
368 
369 /*S
370      MatStencil - Data structure (C struct) for storing information about a single row or
371         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
372 
373    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).
374    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.
375 
376    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
377 
378    Fortran usage is different, see MatSetValuesStencil() for details.
379 
380    Level: beginner
381 
382 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
383 S*/
384 typedef struct {
385   PetscInt k,j,i,c;
386 } MatStencil;
387 
388 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
389 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
390 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
391 
392 /*E
393     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
394      to continue to add or insert values to it
395 
396     Level: beginner
397 
398 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
399 E*/
400 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
401 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
402 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
403 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
404 
405 
406 
407 /*E
408     MatOption - Options that may be set for a matrix and its behavior or storage
409 
410     Level: beginner
411 
412    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
413    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
414 
415    Developer Notes:
416     Entries that are negative need not be called collectively by all processes.
417 
418 .seealso: MatSetOption()
419 E*/
420 typedef enum {MAT_OPTION_MIN = -3,
421               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
422               MAT_ROW_ORIENTED = -1,
423               MAT_SYMMETRIC = 1,
424               MAT_STRUCTURALLY_SYMMETRIC = 2,
425               MAT_NEW_DIAGONALS = 3,
426               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
427               MAT_USE_HASH_TABLE = 5,
428               MAT_KEEP_NONZERO_PATTERN = 6,
429               MAT_IGNORE_ZERO_ENTRIES = 7,
430               MAT_USE_INODES = 8,
431               MAT_HERMITIAN = 9,
432               MAT_SYMMETRY_ETERNAL = 10,
433               MAT_NEW_NONZERO_LOCATION_ERR = 11,
434               MAT_IGNORE_LOWER_TRIANGULAR = 12,
435               MAT_ERROR_LOWER_TRIANGULAR = 13,
436               MAT_GETROW_UPPERTRIANGULAR = 14,
437               MAT_SPD = 15,
438               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
439               MAT_NO_OFF_PROC_ENTRIES = 17,
440               MAT_NEW_NONZERO_LOCATIONS = 18,
441               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
442               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
443               MAT_SUBMAT_SINGLEIS = 21,
444               MAT_STRUCTURE_ONLY = 22,
445               MAT_SORTED_FULL = 23,
446               MAT_OPTION_MAX = 24} MatOption;
447 
448 PETSC_EXTERN const char *const *MatOptions;
449 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
450 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
451 PETSC_EXTERN PetscErrorCode MatPropagateSymmetryOptions(Mat,Mat);
452 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
453 
454 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
455 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
456 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
457 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
458 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
459 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
460 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
461 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArrayRead(Mat,const PetscScalar *[]);
462 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
463 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArrayRead(Mat,const PetscScalar *[]);
464 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
465 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
466 PETSC_EXTERN PetscErrorCode MatSeqAIJSetType(Mat,MatType);
467 PETSC_EXTERN PetscErrorCode MatSeqAIJRegister(const char[],PetscErrorCode (*)(Mat,MatType,MatReuse,Mat *));
468 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
469 PETSC_EXTERN PetscErrorCode MatSeqBAIJGetArray(Mat,PetscScalar *[]);
470 PETSC_EXTERN PetscErrorCode MatSeqBAIJRestoreArray(Mat,PetscScalar *[]);
471 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
472 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
473 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
474 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
475 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
476 PETSC_EXTERN PetscErrorCode MatDenseReplaceArray(Mat,const PetscScalar[]);
477 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
478 PETSC_EXTERN PetscErrorCode MatDenseGetArrayRead(Mat,const PetscScalar *[]);
479 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayRead(Mat,const PetscScalar *[]);
480 PETSC_EXTERN PetscErrorCode MatDenseGetArrayWrite(Mat,PetscScalar *[]);
481 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayWrite(Mat,PetscScalar *[]);
482 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
483 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
484 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
485 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
486 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
487 PETSC_EXTERN PetscErrorCode MatSetVariableBlockSizes(Mat,PetscInt,PetscInt*);
488 PETSC_EXTERN PetscErrorCode MatGetVariableBlockSizes(Mat,PetscInt*,const PetscInt**);
489 
490 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat,PetscInt,PetscScalar*[]);
491 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat,PetscScalar*[]);
492 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat,PetscInt,Vec*);
493 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat,PetscInt,Vec*);
494 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat,PetscInt,Vec*);
495 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat,PetscInt,Vec*);
496 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat,PetscInt,Vec*);
497 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat,PetscInt,Vec*);
498 
499 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
500 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
501 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
502 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
503 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
504 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
505 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
506 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
507 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
508 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
509 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
510 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
511 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
512 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat,Mat,Mat);
513 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
514 
515 /*E
516     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
517   its numerical values copied over or just its nonzero structure.
518 
519     Level: beginner
520 
521    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
522 
523 $   MAT_DO_NOT_COPY_VALUES    - Create a matrix using the same nonzero pattern as the original matrix,
524 $                               with zeros for the numerical values.
525 $   MAT_COPY_VALUES           - Create a matrix with the same nonzero pattern as the original matrix
526 $                               and with the same numerical values.
527 $   MAT_SHARE_NONZERO_PATTERN - Create a matrix that shares the nonzero structure with the previous matrix
528 $                               and does not copy it, using zeros for the numerical values. The parent and
529 $                               child matrices will share their index (i and j) arrays, and you cannot
530 $                               insert new nonzero entries into either matrix.
531 
532 Notes:
533     Many matrix types (including SeqAIJ) do not support the MAT_SHARE_NONZERO_PATTERN optimization; in
534 this case the behavior is as if MAT_DO_NOT_COPY_VALUES has been specified.
535 
536 .seealso: MatDuplicate()
537 E*/
538 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
539 
540 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
541 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
542 
543 
544 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
545 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
546 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
547 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
548 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
549 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
550 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
551 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
552 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
553 
554 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
555 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
556 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
557 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
558 
559 /*S
560      MatInfo - Context of matrix information, used with MatGetInfo()
561 
562    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
563 
564    Level: intermediate
565 
566 .seealso:  MatGetInfo(), MatInfoType
567 S*/
568 typedef struct {
569   PetscLogDouble block_size;                         /* block size */
570   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
571   PetscLogDouble memory;                             /* memory allocated */
572   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
573   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
574   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
575   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
576 } MatInfo;
577 
578 /*E
579     MatInfoType - Indicates if you want information about the local part of the matrix,
580      the entire parallel matrix or the maximum over all the local parts.
581 
582     Level: beginner
583 
584    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
585 
586 .seealso: MatGetInfo(), MatInfo
587 E*/
588 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
589 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
590 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
591 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
592 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
593 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
594 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
595 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
596 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
597 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
598 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
599 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
600 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
601 
602 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
603 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
604 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
605 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
606 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
607 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
608 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
609 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
610 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
611 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
612 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat,PetscInt,PetscBool*);
613 
614 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
615 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
616 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
617 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
618 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
619 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
620 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
621 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
622 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
623 
624 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
625 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
626 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
627 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
628 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
629 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
630 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
631 
632 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
633 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);}
634 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
635 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);}
636 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
637 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
638 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
639 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);}
640 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
641 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
642 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
643 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
644 
645 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
646 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
647 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
648 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
649 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
650 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
651 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
652 
653 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
654 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
655 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
656 
657 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
658 
659 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
660 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
661 
662 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
663 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
664 
665 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
666 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
667 
668 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
669 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
670 
671 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
672 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
673 
674 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
675 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
676 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
677 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
678 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
679 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
680 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
681 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
682 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
683 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
684 
685 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
686 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
687 
688 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
689 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
690 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
691 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
692 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);}
693 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
694 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
695 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
696 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
697 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
698 
699 /*MC
700    MatSetValue - Set a single entry into a matrix.
701 
702    Not collective
703 
704    Synopsis:
705      #include <petscmat.h>
706      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
707 
708    Input Parameters:
709 +  m - the matrix
710 .  row - the row location of the entry
711 .  col - the column location of the entry
712 .  value - the value to insert
713 -  mode - either INSERT_VALUES or ADD_VALUES
714 
715    Notes:
716    For efficiency one should use MatSetValues() and set several or many
717    values simultaneously if possible.
718 
719    Level: beginner
720 
721 .seealso: MatSetValues(), MatSetValueLocal()
722 M*/
723 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
724 
725 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
726 
727 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
728 
729 /*MC
730    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
731        row in a matrix providing the data that one can use to correctly preallocate the matrix.
732 
733    Synopsis:
734    #include <petscmat.h>
735    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
736 
737    Collective
738 
739    Input Parameters:
740 +  comm - the communicator that will share the eventually allocated matrix
741 .  nrows - the number of LOCAL rows in the matrix
742 -  ncols - the number of LOCAL columns in the matrix
743 
744    Output Parameters:
745 +  dnz - the array that will be passed to the matrix preallocation routines
746 -  onz - the other array passed to the matrix preallocation routines
747 
748    Level: intermediate
749 
750    Notes:
751     See Users-Manual: ch_performance for more details.
752 
753    Do not malloc or free dnz and onz, that is handled internally by these routines
754 
755    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
756 
757 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
758           MatPreallocateSymmetricSetLocalBlock()
759 M*/
760 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
761 do { \
762   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ncols = (ncols),__rstart,__start,__end; \
763   _4_ierr = PetscCalloc2((size_t)__nrows,&dnz,(size_t)__nrows,&onz);CHKERRQ(_4_ierr); \
764   __start = 0; __end = __start;                                         \
765   _4_ierr = MPI_Scan(&__ncols,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ncols;\
766   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows; \
767   do { } while(0)
768 
769 /*MC
770    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
771        inserted using a local number of the rows and columns
772 
773    Synopsis:
774    #include <petscmat.h>
775    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
776 
777    Not Collective
778 
779    Input Parameters:
780 +  map - the row mapping from local numbering to global numbering
781 .  nrows - the number of rows indicated
782 .  rows - the indices of the rows
783 .  cmap - the column mapping from local to global numbering
784 .  ncols - the number of columns in the matrix
785 .  cols - the columns indicated
786 .  dnz - the array that will be passed to the matrix preallocation routines
787 -  onz - the other array passed to the matrix preallocation routines
788 
789    Level: intermediate
790 
791    Notes:
792     See Users-Manual: ch_performance for more details.
793 
794    Do not malloc or free dnz and onz, that is handled internally by these routines
795 
796 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
797           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
798 M*/
799 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
800 do {\
801   PetscInt __l;\
802   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
803   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
804   for (__l=0;__l<nrows;__l++) {\
805     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
806   }\
807  } while (0)
808 
809 /*MC
810    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
811        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
812 
813    Synopsis:
814    #include <petscmat.h>
815    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
816 
817    Not Collective
818 
819    Input Parameters:
820 +  map - the row mapping from local numbering to global numbering
821 .  nrows - the number of rows indicated
822 .  rows - the indices of the rows (these values are mapped to the global values)
823 .  cmap - the column mapping from local to global numbering
824 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
825 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
826 .  dnz - the array that will be passed to the matrix preallocation routines
827 -  onz - the other array passed to the matrix preallocation routines
828 
829    Level: intermediate
830 
831    Notes:
832     See Users-Manual: ch_performance for more details.
833 
834    Do not malloc or free dnz and onz, that is handled internally by these routines
835 
836 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
837           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
838 M*/
839 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
840 do {\
841   PetscInt __l;\
842   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
843   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
844   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
845   for (__l=0;__l<nrows;__l++) {\
846     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
847   }\
848  } while (0)
849 
850 /*MC
851    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
852        inserted using a local number of the rows and columns
853 
854    Synopsis:
855    #include <petscmat.h>
856    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
857 
858    Not Collective
859 
860    Input Parameters:
861 +  map - the row mapping from local numbering to global numbering
862 .  nrows - the number of rows indicated
863 .  rows - the indices of the rows
864 .  cmap - the column mapping from local to global numbering
865 .  ncols - the number of columns in the matrix
866 .  cols - the columns indicated
867 .  dnz - the array that will be passed to the matrix preallocation routines
868 -  onz - the other array passed to the matrix preallocation routines
869 
870    Level: intermediate
871 
872    Notes:
873     See Users-Manual: ch_performance for more details.
874 
875    Do not malloc or free dnz and onz, that is handled internally by these routines
876 
877 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
878           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
879 M*/
880 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
881 do {\
882   PetscInt __l;\
883   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
884   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
885   for (__l=0;__l<nrows;__l++) {\
886     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
887   }\
888 } while (0)
889 
890 /*MC
891    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
892        inserted using a local number of the rows and columns
893 
894    Synopsis:
895    #include <petscmat.h>
896    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
897 
898    Not Collective
899 
900    Input Parameters:
901 +  map - the mapping between local numbering and global numbering
902 .  nrows - the number of rows indicated
903 .  rows - the indices of the rows
904 .  ncols - the number of columns in the matrix
905 .  cols - the columns indicated
906 .  dnz - the array that will be passed to the matrix preallocation routines
907 -  onz - the other array passed to the matrix preallocation routines
908 
909    Level: intermediate
910 
911    Notes:
912     See Users-Manual: ch_performance for more details.
913 
914    Do not malloc or free dnz and onz that is handled internally by these routines
915 
916 .seealso: MatPreallocateFinalize(), MatPreallocateSet()
917           MatPreallocateInitialize(),  MatPreallocateSetLocal()
918 M*/
919 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
920 do {\
921   PetscInt __l;\
922   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
923   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
924   for (__l=0;__l<nrows;__l++) {\
925     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
926   }\
927 } while (0)
928 
929 /*MC
930    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
931        inserted using a local number of the rows and columns
932 
933    Synopsis:
934    #include <petscmat.h>
935    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
936 
937    Not Collective
938 
939    Input Parameters:
940 +  row - the row
941 .  ncols - the number of columns in the matrix
942 -  cols - the columns indicated
943 
944    Output Parameters:
945 +  dnz - the array that will be passed to the matrix preallocation routines
946 -  onz - the other array passed to the matrix preallocation routines
947 
948    Level: intermediate
949 
950    Notes:
951     See Users-Manual: ch_performance for more details.
952 
953    Do not malloc or free dnz and onz that is handled internally by these routines
954 
955    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
956 
957 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
958           MatPreallocateInitialize(), MatPreallocateSetLocal()
959 M*/
960 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
961 do { PetscInt __i; \
962   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);\
963   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);\
964   for (__i=0; __i<nc; __i++) {\
965     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
966     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
967   }\
968 } while (0)
969 
970 /*MC
971    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
972        inserted using a local number of the rows and columns
973 
974    Synopsis:
975    #include <petscmat.h>
976    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
977 
978    Not Collective
979 
980    Input Parameters:
981 +  nrows - the number of rows indicated
982 .  rows - the indices of the rows
983 .  ncols - the number of columns in the matrix
984 .  cols - the columns indicated
985 .  dnz - the array that will be passed to the matrix preallocation routines
986 -  onz - the other array passed to the matrix preallocation routines
987 
988    Level: intermediate
989 
990    Notes:
991     See Users-Manual: ch_performance for more details.
992 
993    Do not malloc or free dnz and onz that is handled internally by these routines
994 
995    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
996 
997 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
998           MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
999 M*/
1000 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
1001 do { PetscInt __i; \
1002   for (__i=0; __i<nc; __i++) {\
1003     if (cols[__i] >= __end) onz[row - __rstart]++; \
1004     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
1005   }\
1006 } while (0)
1007 
1008 /*MC
1009    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1010 
1011    Synopsis:
1012    #include <petscmat.h>
1013    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1014 
1015    Not Collective
1016 
1017    Input Parameters:
1018 +  A - matrix
1019 .  row - row where values exist (must be local to this process)
1020 .  ncols - number of columns
1021 .  cols - columns with nonzeros
1022 .  dnz - the array that will be passed to the matrix preallocation routines
1023 -  onz - the other array passed to the matrix preallocation routines
1024 
1025    Level: intermediate
1026 
1027    Notes:
1028     See Users-Manual: ch_performance for more details.
1029 
1030    Do not malloc or free dnz and onz that is handled internally by these routines
1031 
1032    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
1033 
1034 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1035           MatPreallocateSymmetricSetLocalBlock()
1036 M*/
1037 #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)
1038 
1039 
1040 /*MC
1041    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
1042        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1043 
1044    Synopsis:
1045    #include <petscmat.h>
1046    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
1047 
1048    Collective
1049 
1050    Input Parameters:
1051 +  dnz - the array that was be passed to the matrix preallocation routines
1052 -  onz - the other array passed to the matrix preallocation routines
1053 
1054    Level: intermediate
1055 
1056    Notes:
1057     See Users-Manual: ch_performance for more details.
1058 
1059    Do not malloc or free dnz and onz that is handled internally by these routines
1060 
1061    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
1062 
1063 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1064           MatPreallocateSymmetricSetLocalBlock()
1065 M*/
1066 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);} while(0)
1067 
1068 /* Routines unique to particular data structures */
1069 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
1070 
1071 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
1072 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1073 
1074 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1075 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1076 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1077 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1078 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1079 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
1080 
1081 #define MAT_SKIP_ALLOCATION -4
1082 
1083 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1084 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1085 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1086 
1087 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1088 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1089 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1090 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1091 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1092 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1093 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1094 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1095 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat,Mat*);
1096 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1097 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1098 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1099 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1100 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1101 
1102 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat,PetscInt*);
1103 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat,PetscInt);
1104 PETSC_DEPRECATED_FUNCTION("Use MatDenseSetLDA() (since version 3.14)") PETSC_STATIC_INLINE PetscErrorCode MatSeqDenseSetLDA(Mat A,PetscInt lda) {return MatDenseSetLDA(A,lda);}
1105 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1106 
1107 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1108 
1109 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1110 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1111 
1112 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
1113 
1114 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1115 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1116 /*
1117   These routines are not usually accessed directly, rather solving is
1118   done through the KSP and PC interfaces.
1119 */
1120 
1121 /*J
1122     MatOrderingType - String with the name of a PETSc matrix ordering
1123 
1124    Level: beginner
1125 
1126 .seealso: MatGetOrdering()
1127 J*/
1128 typedef const char* MatOrderingType;
1129 #define MATORDERINGNATURAL        "natural"
1130 #define MATORDERINGND             "nd"
1131 #define MATORDERING1WD            "1wd"
1132 #define MATORDERINGRCM            "rcm"
1133 #define MATORDERINGQMD            "qmd"
1134 #define MATORDERINGROWLENGTH      "rowlength"
1135 #define MATORDERINGWBM            "wbm"
1136 #define MATORDERINGSPECTRAL       "spectral"
1137 #define MATORDERINGAMD            "amd"            /* only works if UMFPACK is installed with PETSc */
1138 #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 */
1139 
1140 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1141 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1142 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1143 PETSC_EXTERN PetscFunctionList MatOrderingList;
1144 
1145 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1146 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1147 
1148 /*S
1149     MatFactorShiftType - Numeric Shift for factorizations
1150 
1151    Level: beginner
1152 
1153 .seealso: MatGetFactor()
1154 S*/
1155 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1156 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1157 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1158 
1159 /*S
1160     MatFactorError - indicates what type of error was generated in a matrix factorization
1161 
1162     Level: beginner
1163 
1164     Developer Notes:
1165     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1166 
1167 .seealso: MatGetFactor()
1168 S*/
1169 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1170 
1171 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1172 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1173 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1174 
1175 /*S
1176    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1177 
1178    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1179 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1180 
1181    Notes:
1182     These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1183 
1184       You can use MatFactorInfoInitialize() to set default values.
1185 
1186    Level: developer
1187 
1188 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1189           MatFactorInfoInitialize()
1190 
1191 S*/
1192 typedef struct {
1193   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1194   PetscReal     usedt;
1195   PetscReal     dt;             /* drop tolerance */
1196   PetscReal     dtcol;          /* tolerance for pivoting */
1197   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1198   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1199   PetscReal     levels;         /* ICC/ILU(levels) */
1200   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1201                                    factorization may be faster if do not pivot */
1202   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1203   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1204   PetscReal     shiftamount;     /* how large the shift is */
1205 } MatFactorInfo;
1206 
1207 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1208 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1209 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1210 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1211 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1212 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1213 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1214 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1215 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1216 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1217 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1218 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1219 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1220 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1221 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1222 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1223 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1224 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1225 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1226 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1227 
1228 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1229 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1230 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1231 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1232 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1233 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1234 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1235 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1236 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1237 
1238 /*E
1239     MatSORType - What type of (S)SOR to perform
1240 
1241     Level: beginner
1242 
1243    May be bitwise ORd together
1244 
1245    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1246 
1247    MatSORType may be bitwise ORd together, so do not change the numbers
1248 
1249 .seealso: MatSOR()
1250 E*/
1251 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1252               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1253               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1254               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1255 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1256 
1257 /*
1258     These routines are for efficiently computing Jacobians via finite differences.
1259 */
1260 
1261 /*S
1262      MatColoring - Object for managing the coloring of matrices.
1263 
1264    Level: beginner
1265 
1266     Notes:
1267        Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the MatColoring object or from the mesh from which the
1268        matrix comes from via DMCreateColoring(). In general using the mesh produces a more optimal coloring (fewer colors).
1269 
1270        Once a coloring is available MatFDColoringCreate() creates an object that can be used to efficiently compute Jacobians using that coloring. This
1271        same object can also be used to efficiently convert data created by Automatic Differentation tools to PETSc sparse matrices.
1272 
1273 .seealso:  MatFDColoringCreate(), MatColoringWeightType, ISColoring, MatFDColoring, DMCreateColoring(), MatColoringCreate(), MatOrdering, MatPartitioning
1274 S*/
1275 typedef struct _p_MatColoring* MatColoring;
1276 
1277 /*J
1278     MatColoringType - String with the name of a PETSc matrix coloring
1279 
1280    Level: beginner
1281 
1282 .seealso: MatColoringSetType(), MatColoring
1283 J*/
1284 typedef const  char*           MatColoringType;
1285 #define MATCOLORINGJP      "jp"
1286 #define MATCOLORINGPOWER   "power"
1287 #define MATCOLORINGNATURAL "natural"
1288 #define MATCOLORINGSL      "sl"
1289 #define MATCOLORINGLF      "lf"
1290 #define MATCOLORINGID      "id"
1291 #define MATCOLORINGGREEDY  "greedy"
1292 
1293 /*E
1294    MatColoringWeightType - Type of weight scheme
1295 
1296     Not Collective
1297 
1298 +   MAT_COLORING_RANDOM  - Random weights
1299 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1300 -   MAT_COLORING_LF      - Last-first weighting.
1301 
1302     Level: intermediate
1303 
1304    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1305 
1306 .seealso: MatColoring, MatColoringCreate()
1307 E*/
1308 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1309 
1310 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1311 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1312 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1313 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1314 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1315 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1316 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1317 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1318 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1319 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1320 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1321 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1322 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1323 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1324 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1325 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1326 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring,ISColoring);
1327 PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") PETSC_STATIC_INLINE PetscErrorCode MatColoringTestValid(MatColoring matcoloring,ISColoring iscoloring) {return MatColoringTest(matcoloring,iscoloring);}
1328 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat,ISColoring);
1329 
1330 /*S
1331      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1332         and coloring
1333 
1334    Level: beginner
1335 
1336    Notes:
1337       This object is creating utilizing a coloring provided by the MatColoring object or DMCreateColoring()
1338 
1339 .seealso:  MatFDColoringCreate(), MatColoring, DMCreateColoring()
1340 S*/
1341 typedef struct _p_MatFDColoring* MatFDColoring;
1342 
1343 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1344 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1345 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1346 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1347 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1348 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1349 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1350 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1351 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1352 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1353 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1354 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1355 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat,MatFDColoring,const PetscScalar*);
1356 
1357 /*S
1358      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1359 
1360    Level: beginner
1361 
1362 .seealso:  MatTransposeColoringCreate()
1363 S*/
1364 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1365 
1366 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1367 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1368 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1369 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1370 
1371 /*
1372     These routines are for partitioning matrices: currently used only
1373   for adjacency matrix, MatCreateMPIAdj().
1374 */
1375 
1376 /*S
1377      MatPartitioning - Object for managing the partitioning of a matrix or graph
1378 
1379    Level: beginner
1380 
1381    Notes:
1382      There is also a PetscPartitioner object that provides the same functionality. It can utilize the MatPartitioning operations
1383      via PetscPartitionerSetType(p,PETSCPARTITIONERMATPARTITIONING)
1384 
1385    Developers Note:
1386      It is an extra maintainance and documentation cost to have two objects with the same functionality.
1387 
1388 .seealso:  MatPartitioningCreate(), MatPartitioningType, MatColoring, MatGetOrdering()
1389 S*/
1390 typedef struct _p_MatPartitioning* MatPartitioning;
1391 
1392 /*J
1393     MatPartitioningType - String with the name of a PETSc matrix partitioning
1394 
1395    Level: beginner
1396 dm
1397 .seealso: MatPartitioningCreate(), MatPartitioning
1398 J*/
1399 typedef const char* MatPartitioningType;
1400 #define MATPARTITIONINGCURRENT  "current"
1401 #define MATPARTITIONINGAVERAGE   "average"
1402 #define MATPARTITIONINGSQUARE   "square"
1403 #define MATPARTITIONINGPARMETIS "parmetis"
1404 #define MATPARTITIONINGCHACO    "chaco"
1405 #define MATPARTITIONINGPARTY    "party"
1406 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1407 #define MATPARTITIONINGHIERARCH  "hierarch"
1408 
1409 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1410 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1411 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1412 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1413 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1414 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1415 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning,PetscBool);
1416 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning,PetscBool*);
1417 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1418 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning,IS*);
1419 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning,IS);
1420 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning,IS*);
1421 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1422 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1423 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1424 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning,PetscObject,const char[]);
1425 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1426 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1427 
1428 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1429 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1430 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1431 
1432 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1433 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1434 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1435 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1436 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1437 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1438 
1439 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1440 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1441 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1442 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1443 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1444 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1445 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1446 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1447 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1448 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1449 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1450 
1451 #define MP_PARTY_OPT "opt"
1452 #define MP_PARTY_LIN "lin"
1453 #define MP_PARTY_SCA "sca"
1454 #define MP_PARTY_RAN "ran"
1455 #define MP_PARTY_GBF "gbf"
1456 #define MP_PARTY_GCF "gcf"
1457 #define MP_PARTY_BUB "bub"
1458 #define MP_PARTY_DEF "def"
1459 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1460 #define MP_PARTY_HELPFUL_SETS "hs"
1461 #define MP_PARTY_KERNIGHAN_LIN "kl"
1462 #define MP_PARTY_NONE "no"
1463 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1464 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1465 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1466 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1467 
1468 typedef enum { MP_PTSCOTCH_DEFAULT,MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1469 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1470 
1471 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1472 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1473 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1474 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1475 
1476 /*
1477  * hierarchical partitioning
1478  */
1479 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1480 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1481 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1482 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1483 
1484 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1485 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1486 
1487 /*
1488     If you add entries here you must also add them to include/petscmat.h
1489     and src/mat/f90-mod/petscmat.h
1490 */
1491 typedef enum { MATOP_SET_VALUES=0,
1492                MATOP_GET_ROW=1,
1493                MATOP_RESTORE_ROW=2,
1494                MATOP_MULT=3,
1495                MATOP_MULT_ADD=4,
1496                MATOP_MULT_TRANSPOSE=5,
1497                MATOP_MULT_TRANSPOSE_ADD=6,
1498                MATOP_SOLVE=7,
1499                MATOP_SOLVE_ADD=8,
1500                MATOP_SOLVE_TRANSPOSE=9,
1501                MATOP_SOLVE_TRANSPOSE_ADD=10,
1502                MATOP_LUFACTOR=11,
1503                MATOP_CHOLESKYFACTOR=12,
1504                MATOP_SOR=13,
1505                MATOP_TRANSPOSE=14,
1506                MATOP_GETINFO=15,
1507                MATOP_EQUAL=16,
1508                MATOP_GET_DIAGONAL=17,
1509                MATOP_DIAGONAL_SCALE=18,
1510                MATOP_NORM=19,
1511                MATOP_ASSEMBLY_BEGIN=20,
1512                MATOP_ASSEMBLY_END=21,
1513                MATOP_SET_OPTION=22,
1514                MATOP_ZERO_ENTRIES=23,
1515                MATOP_ZERO_ROWS=24,
1516                MATOP_LUFACTOR_SYMBOLIC=25,
1517                MATOP_LUFACTOR_NUMERIC=26,
1518                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1519                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1520                MATOP_SETUP_PREALLOCATION=29,
1521                MATOP_ILUFACTOR_SYMBOLIC=30,
1522                MATOP_ICCFACTOR_SYMBOLIC=31,
1523                MATOP_GET_DIAGONAL_BLOCK=32,
1524                MATOP_FREE_INTER_STRUCT=33,
1525                MATOP_DUPLICATE=34,
1526                MATOP_FORWARD_SOLVE=35,
1527                MATOP_BACKWARD_SOLVE=36,
1528                MATOP_ILUFACTOR=37,
1529                MATOP_ICCFACTOR=38,
1530                MATOP_AXPY=39,
1531                MATOP_CREATE_SUBMATRICES=40,
1532                MATOP_INCREASE_OVERLAP=41,
1533                MATOP_GET_VALUES=42,
1534                MATOP_COPY=43,
1535                MATOP_GET_ROW_MAX=44,
1536                MATOP_SCALE=45,
1537                MATOP_SHIFT=46,
1538                MATOP_DIAGONAL_SET=47,
1539                MATOP_ZERO_ROWS_COLUMNS=48,
1540                MATOP_SET_RANDOM=49,
1541                MATOP_GET_ROW_IJ=50,
1542                MATOP_RESTORE_ROW_IJ=51,
1543                MATOP_GET_COLUMN_IJ=52,
1544                MATOP_RESTORE_COLUMN_IJ=53,
1545                MATOP_FDCOLORING_CREATE=54,
1546                MATOP_COLORING_PATCH=55,
1547                MATOP_SET_UNFACTORED=56,
1548                MATOP_PERMUTE=57,
1549                MATOP_SET_VALUES_BLOCKED=58,
1550                MATOP_CREATE_SUBMATRIX=59,
1551                MATOP_DESTROY=60,
1552                MATOP_VIEW=61,
1553                MATOP_CONVERT_FROM=62,
1554                MATOP_MATMAT_MULT=63,
1555                MATOP_MATMAT_MULT_SYMBOLIC=64,
1556                MATOP_MATMAT_MULT_NUMERIC=65,
1557                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1558                MATOP_SET_VALUES_LOCAL=67,
1559                MATOP_ZERO_ROWS_LOCAL=68,
1560                MATOP_GET_ROW_MAX_ABS=69,
1561                MATOP_GET_ROW_MIN_ABS=70,
1562                MATOP_CONVERT=71,
1563                MATOP_SET_COLORING=72,
1564                /* MATOP_PLACEHOLDER_73=73, */
1565                MATOP_SET_VALUES_ADIFOR=74,
1566                MATOP_FD_COLORING_APPLY=75,
1567                MATOP_SET_FROM_OPTIONS=76,
1568                MATOP_MULT_CONSTRAINED=77,
1569                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1570                MATOP_FIND_ZERO_DIAGONALS=79,
1571                MATOP_MULT_MULTIPLE=80,
1572                MATOP_SOLVE_MULTIPLE=81,
1573                MATOP_GET_INERTIA=82,
1574                MATOP_LOAD=83,
1575                MATOP_IS_SYMMETRIC=84,
1576                MATOP_IS_HERMITIAN=85,
1577                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1578                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1579                MATOP_CREATE_VECS=88,
1580                MATOP_MAT_MULT=89,
1581                MATOP_MAT_MULT_SYMBOLIC=90,
1582                MATOP_MAT_MULT_NUMERIC=91,
1583                MATOP_PTAP=92,
1584                MATOP_PTAP_SYMBOLIC=93,
1585                MATOP_PTAP_NUMERIC=94,
1586                MATOP_MAT_TRANSPOSE_MULT=95,
1587                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1588                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1589                /* MATOP_PLACEHOLDER_98=98, */
1590                MATOP_PRODUCTSETFROMOPTIONS=99,
1591                MATOP_PRODUCTSYMBOLIC=100,
1592                MATOP_PRODUCTNUMERIC=101,
1593                MATOP_CONJUGATE=102,
1594                /* MATOP_PLACEHOLDER_103=103, */
1595                MATOP_SET_VALUES_ROW=104,
1596                MATOP_REAL_PART=105,
1597                MATOP_IMAGINARY_PART=106,
1598                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1599                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1600                MATOP_MAT_SOLVE=109,
1601                MATOP_MAT_SOLVE_TRANSPOSE=110,
1602                MATOP_GET_ROW_MIN=111,
1603                MATOP_GET_COLUMN_VECTOR=112,
1604                MATOP_MISSING_DIAGONAL=113,
1605                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1606                MATOP_CREATE=115,
1607                MATOP_GET_GHOSTS=116,
1608                MATOP_GET_LOCAL_SUB_MATRIX=117,
1609                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1610                MATOP_MULT_DIAGONAL_BLOCK=119,
1611                MATOP_HERMITIAN_TRANSPOSE=120,
1612                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1613                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1614                MATOP_GET_MULTI_PROC_BLOCK=123,
1615                MATOP_FIND_NONZERO_ROWS=124,
1616                MATOP_GET_COLUMN_NORMS=125,
1617                MATOP_INVERT_BLOCK_DIAGONAL=126,
1618                /* MATOP_PLACEHOLDER_127=127, */
1619                MATOP_CREATE_SUB_MATRICES_MPI=128,
1620                MATOP_SET_VALUES_BATCH=129,
1621                MATOP_TRANSPOSE_MAT_MULT=130,
1622                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1623                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1624                MATOP_TRANSPOSE_COLORING_CREAT=133,
1625                MATOP_TRANS_COLORING_APPLY_SPT=134,
1626                MATOP_TRANS_COLORING_APPLY_DEN=135,
1627                MATOP_RART=136,
1628                MATOP_RART_SYMBOLIC=137,
1629                MATOP_RART_NUMERIC=138,
1630                MATOP_SET_BLOCK_SIZES=139,
1631                MATOP_AYPX=140,
1632                MATOP_RESIDUAL=141,
1633                MATOP_FDCOLORING_SETUP=142,
1634                MATOP_MPICONCATENATESEQ=144,
1635                MATOP_DESTROYSUBMATRICES=145,
1636                MATOP_TRANSPOSE_SOLVE=146,
1637                MATOP_GET_VALUES_LOCAL=147
1638              } MatOperation;
1639 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat,MatOperation,void(*)(void));
1640 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat,MatOperation,void(**)(void));
1641 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool*);
1642 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat,PetscBool*);
1643 PETSC_DEPRECATED_FUNCTION("Use MatProductClear() (since version 3.14)") PETSC_STATIC_INLINE PetscErrorCode MatFreeIntermediateDataStructures(Mat A) {return MatProductClear(A);}
1644 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1645 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1646 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1647 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat,VecType);
1648 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1649 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1650 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1651 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat,MatProductType,PetscErrorCode (*)(Mat,Mat,Mat,void**),PetscErrorCode (*)(Mat,Mat,Mat,void*),PetscErrorCode (*)(void*),MatType,MatType);
1652 PETSC_EXTERN PetscErrorCode MatIsShell(Mat,PetscBool*);
1653 
1654 /*
1655    Codes for matrices stored on disk. By default they are
1656    stored in a universal format. By changing the format with
1657    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1658    be stored in a way natural for the matrix, for example dense matrices
1659    would be stored as dense. Matrices stored this way may only be
1660    read into matrices of the same type.
1661 */
1662 #define MATRIX_BINARY_FORMAT_DENSE -1
1663 
1664 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1665 
1666 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat,MatType);
1667 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1668 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat,PetscBool);
1669 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat,PetscBool);
1670 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1671 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1672 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1673 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1674 
1675 /*S
1676      MatNullSpace - Object that removes a null space from a vector, i.e.
1677          orthogonalizes the vector to a subsapce
1678 
1679    Level: advanced
1680 
1681   Users manual sections:
1682 .   sec_singular
1683 
1684 .seealso:  MatNullSpaceCreate()
1685 S*/
1686 typedef struct _p_MatNullSpace* MatNullSpace;
1687 
1688 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1689 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1690 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1691 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1692 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1693 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1694 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1695 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1696 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1697 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1698 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1699 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1700 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1701 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1702 
1703 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1704 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1705 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1706 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1707 
1708 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1709 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1710 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1711 
1712 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat,MatType,Mat*);
1713 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat,MatType,Mat*);
1714 
1715 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") PETSC_STATIC_INLINE PetscErrorCode MatComputeExplicitOperator(Mat A,Mat* B) { return MatComputeOperator(A,NULL,B); }
1716 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") PETSC_STATIC_INLINE PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A,Mat* B) { return MatComputeOperatorTranspose(A,NULL,B); }
1717 
1718 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat,PetscInt,PetscInt,const PetscScalar[],const PetscScalar[],Mat*);
1719 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat,Mat*);
1720 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat,PetscInt*,PetscInt*,PetscScalar**);
1721 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1722 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat,PetscScalar**);
1723 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat,const PetscScalar**);
1724 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat,PetscInt*,PetscInt*,PetscScalar**);
1725 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1726 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat,PetscScalar**);
1727 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat,const PetscScalar**);
1728 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat,Mat);
1729 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat,PetscInt,PetscInt,const PetscScalar[]);
1730 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat,PetscInt,PetscInt,const PetscScalar[]);
1731 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat,PetscBool*);
1732 
1733 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1734 
1735 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1736 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1737 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1738 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1739 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1740 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1741 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1742 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1743 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1744 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1745 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1746 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1747 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1748 
1749 /*S
1750     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1751               Jacobian vector products
1752 
1753     Notes:
1754     MATMFFD is a specific MatType which uses the MatMFFD data structure
1755 
1756            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1757 
1758     Level: developer
1759 
1760 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1761 S*/
1762 typedef struct _p_MatMFFD* MatMFFD;
1763 
1764 /*J
1765     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1766 
1767    Level: beginner
1768 
1769 .seealso: MatMFFDSetType(), MatMFFDRegister()
1770 J*/
1771 typedef const char* MatMFFDType;
1772 #define MATMFFD_DS  "ds"
1773 #define MATMFFD_WP  "wp"
1774 
1775 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1776 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1777 
1778 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1779 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1780 
1781 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1782 
1783 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1784 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1785 
1786 #ifdef PETSC_HAVE_HARA
1787 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatHaraKernel)(PetscInt,PetscReal[],PetscReal[],void*);
1788 PETSC_EXTERN PetscErrorCode MatCreateHaraFromKernel(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscReal[],MatHaraKernel,void*,PetscReal,PetscInt,PetscInt,Mat*);
1789 PETSC_EXTERN PetscErrorCode MatCreateHaraFromMat(Mat,PetscInt,const PetscReal[],PetscReal,PetscInt,PetscInt,PetscInt,PetscReal,Mat*);
1790 PETSC_EXTERN PetscErrorCode MatHaraSetSamplingMat(Mat,Mat,PetscInt,PetscReal);
1791 #endif
1792 
1793 /*
1794    PETSc interface to MUMPS
1795 */
1796 #ifdef PETSC_HAVE_MUMPS
1797 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1798 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1799 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1800 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1801 
1802 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1803 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1804 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1805 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1806 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat,Mat);
1807 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat,Mat);
1808 #endif
1809 
1810 /*
1811    PETSc interface to Mkl_Pardiso
1812 */
1813 #ifdef PETSC_HAVE_MKL_PARDISO
1814 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1815 #endif
1816 
1817 /*
1818    PETSc interface to Mkl_CPardiso
1819 */
1820 #ifdef PETSC_HAVE_MKL_CPARDISO
1821 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1822 #endif
1823 
1824 /*
1825    PETSc interface to SUPERLU
1826 */
1827 #ifdef PETSC_HAVE_SUPERLU
1828 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1829 #endif
1830 
1831 /*
1832    PETSc interface to SUPERLU_DIST
1833 */
1834 #ifdef PETSC_HAVE_SUPERLU_DIST
1835 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1836 #endif
1837 
1838 /*
1839    PETSc interface to STRUMPACK
1840 */
1841 #ifdef PETSC_HAVE_STRUMPACK
1842 /*E
1843     MatSTRUMPACKReordering - sparsity reducing ordering to be used in STRUMPACK
1844 
1845     Level: intermediate
1846 E*/
1847 typedef enum {MAT_STRUMPACK_NATURAL=0,
1848               MAT_STRUMPACK_METIS=1,
1849               MAT_STRUMPACK_PARMETIS=2,
1850               MAT_STRUMPACK_SCOTCH=3,
1851               MAT_STRUMPACK_PTSCOTCH=4,
1852               MAT_STRUMPACK_RCM=5} MatSTRUMPACKReordering;
1853 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat,MatSTRUMPACKReordering);
1854 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1855 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat,PetscReal);
1856 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat,PetscReal rtol) {return MatSTRUMPACKSetHSSRelTol(mat,rtol);}
1857 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat,PetscReal);
1858 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat,PetscInt);
1859 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat,PetscInt hssminsize) {return MatSTRUMPACKSetHSSMinSepSize(mat,hssminsize);}
1860 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat,PetscInt);
1861 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat,PetscInt);
1862 #endif
1863 
1864 
1865 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat,PetscBool);
1866 PETSC_DEPRECATED_FUNCTION("Use MatBindToCPU (since v3.13)") PETSC_STATIC_INLINE PetscErrorCode MatPinToCPU(Mat A,PetscBool flg) {return MatBindToCPU(A,flg);}
1867 
1868 #ifdef PETSC_HAVE_CUDA
1869 /*E
1870     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1871     matrices.
1872 
1873     Not Collective
1874 
1875 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1876 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1877 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1878 
1879     Level: intermediate
1880 
1881    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1882 
1883 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1884 E*/
1885 
1886 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1887 
1888 /* these will be strings associated with enumerated type defined above */
1889 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1890 
1891 /*E
1892     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1893     matrices whose operation should use a particular storage format.
1894 
1895     Not Collective
1896 
1897 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1898 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1899 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1900 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1901 
1902     Level: intermediate
1903 
1904 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1905 E*/
1906 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1907 
1908 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1909 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1910 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1911 
1912 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
1913 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
1914 PETSC_EXTERN PetscErrorCode MatMPIDenseCUDASetPreallocation(Mat,PetscScalar[]);
1915 PETSC_EXTERN PetscErrorCode MatSeqDenseCUDASetPreallocation(Mat,PetscScalar[]);
1916 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat,PetscScalar**);
1917 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat,const PetscScalar**);
1918 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat,PetscScalar**);
1919 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat,PetscScalar**);
1920 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat,const PetscScalar**);
1921 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat,PetscScalar**);
1922 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat,const PetscScalar*);
1923 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat,const PetscScalar*);
1924 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
1925 #endif
1926 
1927 #if defined(PETSC_HAVE_VIENNACL)
1928 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1929 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1930 #endif
1931 
1932 /*
1933    PETSc interface to FFTW
1934 */
1935 #if defined(PETSC_HAVE_FFTW)
1936 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1937 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1938 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1939 #endif
1940 
1941 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1942 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1943 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1944 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1945 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1946 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1947 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1948 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1949 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1950 
1951 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1952 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1953 
1954 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1955 
1956 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1957 
1958 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1959 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1960 
1961 #endif
1962