xref: /petsc/include/petscmat.h (revision c524e44ceafee4aa1f13666ee553c16f4e41b8f4)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #ifndef PETSCMAT_H
5 #define PETSCMAT_H
6 #include <petscvec.h>
7 
8 /*S
9      Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
10            an explicit sparse representation (such as matrix-free operators)
11 
12    Level: beginner
13 
14 .seealso:  MatCreate(), MatType, MatSetType(), MatDestroy()
15 S*/
16 typedef struct _p_Mat*           Mat;
17 
18 /*J
19     MatType - String with the name of a PETSc matrix type
20 
21    Level: beginner
22 
23 .seealso: MatSetType(), Mat, MatSolverType, MatRegister()
24 J*/
25 typedef const char* MatType;
26 #define MATSAME            "same"
27 #define MATMAIJ            "maij"
28 #define MATSEQMAIJ         "seqmaij"
29 #define MATMPIMAIJ         "mpimaij"
30 #define MATKAIJ            "kaij"
31 #define MATSEQKAIJ         "seqkaij"
32 #define MATMPIKAIJ         "mpikaij"
33 #define MATIS              "is"
34 #define MATAIJ             "aij"
35 #define MATSEQAIJ          "seqaij"
36 #define MATMPIAIJ          "mpiaij"
37 #define MATAIJCRL          "aijcrl"
38 #define MATSEQAIJCRL       "seqaijcrl"
39 #define MATMPIAIJCRL       "mpiaijcrl"
40 #define MATAIJCUSPARSE     "aijcusparse"
41 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
42 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
43 #define MATAIJKOKKOS       "aijkokkos"
44 #define MATSEQAIJKOKKOS    "seqaijkokkos"
45 #define MATMPIAIJKOKKOS    "mpiaijkokkos"
46 #define MATAIJVIENNACL     "aijviennacl"
47 #define MATSEQAIJVIENNACL  "seqaijviennacl"
48 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
49 #define MATAIJPERM         "aijperm"
50 #define MATSEQAIJPERM      "seqaijperm"
51 #define MATMPIAIJPERM      "mpiaijperm"
52 #define MATAIJSELL         "aijsell"
53 #define MATSEQAIJSELL      "seqaijsell"
54 #define MATMPIAIJSELL      "mpiaijsell"
55 #define MATAIJMKL          "aijmkl"
56 #define MATSEQAIJMKL       "seqaijmkl"
57 #define MATMPIAIJMKL       "mpiaijmkl"
58 #define MATBAIJMKL         "baijmkl"
59 #define MATSEQBAIJMKL      "seqbaijmkl"
60 #define MATMPIBAIJMKL      "mpibaijmkl"
61 #define MATSHELL           "shell"
62 #define MATDENSE           "dense"
63 #define MATDENSECUDA       "densecuda"
64 #define MATSEQDENSE        "seqdense"
65 #define MATSEQDENSECUDA    "seqdensecuda"
66 #define MATMPIDENSE        "mpidense"
67 #define MATMPIDENSECUDA    "mpidensecuda"
68 #define MATELEMENTAL       "elemental"
69 #define MATSCALAPACK       "scalapack"
70 #define MATBAIJ            "baij"
71 #define MATSEQBAIJ         "seqbaij"
72 #define MATMPIBAIJ         "mpibaij"
73 #define MATMPIADJ          "mpiadj"
74 #define MATSBAIJ           "sbaij"
75 #define MATSEQSBAIJ        "seqsbaij"
76 #define MATMPISBAIJ        "mpisbaij"
77 #define MATMFFD            "mffd"
78 #define MATNORMAL          "normal"
79 #define MATNORMALHERMITIAN "normalh"
80 #define MATLRC             "lrc"
81 #define MATSCATTER         "scatter"
82 #define MATBLOCKMAT        "blockmat"
83 #define MATCOMPOSITE       "composite"
84 #define MATFFT             "fft"
85 #define MATFFTW            "fftw"
86 #define MATSEQCUFFT        "seqcufft"
87 #define MATTRANSPOSEMAT    "transpose"
88 #define MATSCHURCOMPLEMENT "schurcomplement"
89 #define MATPYTHON          "python"
90 #define MATHYPRE           "hypre"
91 #define MATHYPRESTRUCT     "hyprestruct"
92 #define MATHYPRESSTRUCT    "hypresstruct"
93 #define MATSUBMATRIX       "submatrix"
94 #define MATLOCALREF        "localref"
95 #define MATNEST            "nest"
96 #define MATPREALLOCATOR    "preallocator"
97 #define MATSELL            "sell"
98 #define MATSEQSELL         "seqsell"
99 #define MATMPISELL         "mpisell"
100 #define MATDUMMY           "dummy"
101 #define MATLMVM            "lmvm"
102 #define MATLMVMDFP         "lmvmdfp"
103 #define MATLMVMBFGS        "lmvmbfgs"
104 #define MATLMVMSR1         "lmvmsr1"
105 #define MATLMVMBROYDEN     "lmvmbroyden"
106 #define MATLMVMBADBROYDEN  "lmvmbadbroyden"
107 #define MATLMVMSYMBROYDEN  "lmvmsymbroyden"
108 #define MATLMVMSYMBADBROYDEN "lmvmsymbadbroyden"
109 #define MATLMVMDIAGBROYDEN   "lmvmdiagbroyden"
110 #define MATCONSTANTDIAGONAL  "constantdiagonal"
111 #define MATHARA              "hara"
112 
113 /*J
114     MatSolverType - String with the name of a PETSc matrix solver type.
115 
116     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
117 
118    Level: beginner
119 
120    Notes:  MATSOLVERUMFPACK, MATSOLVERCHOLMOD, MATSOLVERKLU form the SuiteSparse package for which you can use --download-suitesparse
121 
122 .seealso: MatGetFactor(), PCFactorSetMatSolverType(), PCFactorGetMatSolverType()
123 J*/
124 typedef const char* MatSolverType;
125 #define MATSOLVERSUPERLU          "superlu"
126 #define MATSOLVERSUPERLU_DIST     "superlu_dist"
127 #define MATSOLVERSTRUMPACK        "strumpack"
128 #define MATSOLVERUMFPACK          "umfpack"
129 #define MATSOLVERCHOLMOD          "cholmod"
130 #define MATSOLVERKLU              "klu"
131 #define MATSOLVERSPARSEELEMENTAL  "sparseelemental"
132 #define MATSOLVERELEMENTAL        "elemental"
133 #define MATSOLVERSCALAPACK        "scalapack"
134 #define MATSOLVERESSL             "essl"
135 #define MATSOLVERLUSOL            "lusol"
136 #define MATSOLVERMUMPS            "mumps"
137 #define MATSOLVERMKL_PARDISO      "mkl_pardiso"
138 #define MATSOLVERMKL_CPARDISO     "mkl_cpardiso"
139 #define MATSOLVERPASTIX           "pastix"
140 #define MATSOLVERMATLAB           "matlab"
141 #define MATSOLVERPETSC            "petsc"
142 #define MATSOLVERBAS              "bas"
143 #define MATSOLVERCUSPARSE         "cusparse"
144 #define MATSOLVERCUDA             "cuda"
145 
146 /*E
147     MatFactorType - indicates what type of factorization is requested
148 
149     Level: beginner
150 
151    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
152 
153 .seealso: MatSolverType, MatGetFactor(), MatGetFactorAvailable(), MatSolverTypeRegister()
154 E*/
155 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
156 PETSC_EXTERN const char *const MatFactorTypes[];
157 
158 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,MatSolverType,MatFactorType,Mat*);
159 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,MatSolverType,MatFactorType,PetscBool *);
160 PETSC_EXTERN PetscErrorCode MatFactorGetUseOrdering(Mat, PetscBool*);
161 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat,MatSolverType*);
162 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
163 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat,MatFactorType);
164 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatSolverFunction)(Mat,MatFactorType,Mat*);
165 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType,MatType,MatFactorType,MatSolverFunction);
166 PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType,MatType,MatFactorType,PetscBool*,PetscBool*,MatSolverFunction*);
167 typedef MatSolverType MatSolverPackage PETSC_DEPRECATED_TYPEDEF("Use MatSolverType (since version 3.9)");
168 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeRegister() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSolverPackageRegister(MatSolverType stype,MatType mtype,MatFactorType ftype,MatSolverFunction f)
169 { return MatSolverTypeRegister(stype,mtype,ftype,f); }
170 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeGet() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSolverPackageGet(MatSolverType stype,MatType mtype,MatFactorType ftype,PetscBool *foundmtype,PetscBool *foundstype,MatSolverFunction *f)
171 { return MatSolverTypeGet(stype,mtype,ftype,foundmtype,foundstype,f); }
172 
173 /*E
174     MatProductType - indicates what type of matrix product is requested
175 
176     Level: beginner
177 
178 .seealso: MatSolverType, MatProductSetType()
179 E*/
180 typedef enum {MATPRODUCT_UNSPECIFIED=0,MATPRODUCT_AB,MATPRODUCT_AtB,MATPRODUCT_ABt,MATPRODUCT_PtAP,MATPRODUCT_RARt,MATPRODUCT_ABC} MatProductType;
181 PETSC_EXTERN const char *const MatProductTypes[];
182 
183 /*J
184     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
185 
186    Level: beginner
187 
188 .seealso: MatSetType(), Mat, MatSolverType, MatRegister(), MatProductSetAlgorithm(), MatProductType
189 J*/
190 typedef const char* MatProductAlgorithm;
191 #define MATPRODUCTALGORITHM_DEFAULT "default"
192 
193 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat,Mat,Mat,Mat*);
194 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat,Mat,Mat,Mat);
195 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat,MatProductType);
196 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat,MatProductAlgorithm);
197 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat,PetscReal);
198 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
199 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
200 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
201 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat,Mat,Mat,Mat);
202 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
203 PETSC_EXTERN PetscErrorCode MatProductView(Mat,PetscViewer);
204 
205 /* Logging support */
206 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
207 PETSC_EXTERN PetscClassId MAT_CLASSID;
208 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
209 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
210 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
211 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
212 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
213 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
214 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
215 
216 /*E
217     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
218      are to be reused to store the new matrix values.
219 
220 $  MAT_INITIAL_MATRIX - create a new matrix
221 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
222 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
223 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
224 
225     Level: beginner
226 
227    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
228 
229 .seealso: MatCreateSubMatrices(), MatCreateSubMatrix(), MatDestroyMatrices(), MatConvert()
230 E*/
231 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
232 
233 /*E
234     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
235      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
236 
237     Level: beginner
238 
239 .seealso: MatGetSeqNonzerostructure()
240 E*/
241 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatCreateSubMatrixOption;
242 
243 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
244 
245 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
246 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
247 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
248 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat,VecType*);
249 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat,VecType);
250 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
251 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat,PetscObject,const char[]);
252 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
253 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[],const char[],const char[]);
254 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
255 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
256 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
257 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
258 
259 PETSC_EXTERN PetscFunctionList MatList;
260 PETSC_EXTERN PetscFunctionList MatColoringList;
261 PETSC_EXTERN PetscFunctionList MatPartitioningList;
262 
263 /*E
264     MatStructure - Indicates if two matrices have the same nonzero structure
265 
266     Level: beginner
267 
268    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
269 
270 .seealso: MatCopy(), MatAXPY()
271 E*/
272 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
273 
274 #if defined PETSC_HAVE_MKL_SPARSE
275 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
276 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
277 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
278 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
279 #endif
280 
281 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
282 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
283 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat,PetscInt,const PetscInt[]);
284 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
285 
286 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
287 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
288 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
289 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
290 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
291 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
292 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
293 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm,Mat,Mat,const PetscInt[],Mat*);
294 
295 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
296 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
297 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
298 
299 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
300 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
301 
302 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
303 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
304 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
305 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
306 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
307 
308 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
309 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
310 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
311 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
312 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
313 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
314 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
315 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
316 
317 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
318 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
319 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
320 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
321 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
322 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
323 typedef enum {MAT_COMPOSITE_MERGE_RIGHT,MAT_COMPOSITE_MERGE_LEFT} MatCompositeMergeType;
324 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat,MatCompositeMergeType);
325 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
326 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
327 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
328 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat,MatCompositeType*);
329 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat,MatStructure);
330 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat,MatStructure*);
331 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat,PetscInt*);
332 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat,PetscInt,Mat*);
333 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat,const PetscScalar*);
334 
335 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
336 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
337 
338 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
339 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
340 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
341 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat,Mat*);
342 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
343 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
344 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
345 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar,Mat*);
346 
347 #if defined(PETSC_HAVE_HYPRE)
348 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
349 #endif
350 
351 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
352 
353 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
354 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
355 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
356 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
357 
358 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
359 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
360 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
361 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
362 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
363 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
364 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat,PetscInt,const PetscInt*,PetscScalar*);
365 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat,Mat);
366 
367 /* ------------------------------------------------------------*/
368 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
369 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
370 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
371 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
372 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
373 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
374 
375 /*S
376      MatStencil - Data structure (C struct) for storing information about a single row or
377         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
378 
379    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).
380    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.
381 
382    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
383 
384    Fortran usage is different, see MatSetValuesStencil() for details.
385 
386    Level: beginner
387 
388 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
389 S*/
390 typedef struct {
391   PetscInt k,j,i,c;
392 } MatStencil;
393 
394 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
395 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
396 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
397 
398 /*E
399     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
400      to continue to add or insert values to it
401 
402     Level: beginner
403 
404 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
405 E*/
406 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
407 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
408 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
409 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
410 
411 
412 
413 /*E
414     MatOption - Options that may be set for a matrix and its behavior or storage
415 
416     Level: beginner
417 
418    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
419    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
420 
421    Developer Notes:
422     Entries that are negative need not be called collectively by all processes.
423 
424 .seealso: MatSetOption()
425 E*/
426 typedef enum {MAT_OPTION_MIN = -3,
427               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
428               MAT_ROW_ORIENTED = -1,
429               MAT_SYMMETRIC = 1,
430               MAT_STRUCTURALLY_SYMMETRIC = 2,
431               MAT_NEW_DIAGONALS = 3,
432               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
433               MAT_USE_HASH_TABLE = 5,
434               MAT_KEEP_NONZERO_PATTERN = 6,
435               MAT_IGNORE_ZERO_ENTRIES = 7,
436               MAT_USE_INODES = 8,
437               MAT_HERMITIAN = 9,
438               MAT_SYMMETRY_ETERNAL = 10,
439               MAT_NEW_NONZERO_LOCATION_ERR = 11,
440               MAT_IGNORE_LOWER_TRIANGULAR = 12,
441               MAT_ERROR_LOWER_TRIANGULAR = 13,
442               MAT_GETROW_UPPERTRIANGULAR = 14,
443               MAT_SPD = 15,
444               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
445               MAT_NO_OFF_PROC_ENTRIES = 17,
446               MAT_NEW_NONZERO_LOCATIONS = 18,
447               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
448               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
449               MAT_SUBMAT_SINGLEIS = 21,
450               MAT_STRUCTURE_ONLY = 22,
451               MAT_SORTED_FULL = 23,
452               MAT_OPTION_MAX = 24} MatOption;
453 
454 PETSC_EXTERN const char *const *MatOptions;
455 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
456 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
457 PETSC_EXTERN PetscErrorCode MatPropagateSymmetryOptions(Mat,Mat);
458 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
459 
460 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
461 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
462 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
463 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
464 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
465 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
466 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
467 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArrayRead(Mat,const PetscScalar *[]);
468 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
469 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArrayRead(Mat,const PetscScalar *[]);
470 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
471 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
472 PETSC_EXTERN PetscErrorCode MatSeqAIJSetType(Mat,MatType);
473 PETSC_EXTERN PetscErrorCode MatSeqAIJRegister(const char[],PetscErrorCode (*)(Mat,MatType,MatReuse,Mat *));
474 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
475 PETSC_EXTERN PetscErrorCode MatSeqBAIJGetArray(Mat,PetscScalar *[]);
476 PETSC_EXTERN PetscErrorCode MatSeqBAIJRestoreArray(Mat,PetscScalar *[]);
477 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
478 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
479 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
480 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
481 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
482 PETSC_EXTERN PetscErrorCode MatDenseReplaceArray(Mat,const PetscScalar[]);
483 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
484 PETSC_EXTERN PetscErrorCode MatDenseGetArrayRead(Mat,const PetscScalar *[]);
485 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayRead(Mat,const PetscScalar *[]);
486 PETSC_EXTERN PetscErrorCode MatDenseGetArrayWrite(Mat,PetscScalar *[]);
487 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayWrite(Mat,PetscScalar *[]);
488 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
489 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
490 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
491 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
492 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
493 PETSC_EXTERN PetscErrorCode MatSetVariableBlockSizes(Mat,PetscInt,PetscInt*);
494 PETSC_EXTERN PetscErrorCode MatGetVariableBlockSizes(Mat,PetscInt*,const PetscInt**);
495 
496 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat,PetscInt,PetscScalar*[]);
497 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat,PetscScalar*[]);
498 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat,PetscInt,Vec*);
499 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat,PetscInt,Vec*);
500 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat,PetscInt,Vec*);
501 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat,PetscInt,Vec*);
502 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat,PetscInt,Vec*);
503 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat,PetscInt,Vec*);
504 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat,PetscInt,PetscInt,Mat*);
505 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat,Mat*);
506 
507 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
508 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
509 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
510 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
511 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
512 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
513 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
514 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
515 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
516 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
517 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
518 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
519 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
520 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat,Mat,Mat);
521 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
522 
523 /*E
524     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
525   its numerical values copied over or just its nonzero structure.
526 
527     Level: beginner
528 
529    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
530 
531 $   MAT_DO_NOT_COPY_VALUES    - Create a matrix using the same nonzero pattern as the original matrix,
532 $                               with zeros for the numerical values.
533 $   MAT_COPY_VALUES           - Create a matrix with the same nonzero pattern as the original matrix
534 $                               and with the same numerical values.
535 $   MAT_SHARE_NONZERO_PATTERN - Create a matrix that shares the nonzero structure with the previous matrix
536 $                               and does not copy it, using zeros for the numerical values. The parent and
537 $                               child matrices will share their index (i and j) arrays, and you cannot
538 $                               insert new nonzero entries into either matrix.
539 
540 Notes:
541     Many matrix types (including SeqAIJ) do not support the MAT_SHARE_NONZERO_PATTERN optimization; in
542 this case the behavior is as if MAT_DO_NOT_COPY_VALUES has been specified.
543 
544 .seealso: MatDuplicate()
545 E*/
546 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
547 
548 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
549 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
550 
551 
552 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
553 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
554 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
555 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
556 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
557 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
558 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
559 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
560 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
561 
562 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
563 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
564 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
565 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
566 
567 /*S
568      MatInfo - Context of matrix information, used with MatGetInfo()
569 
570    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
571 
572    Level: intermediate
573 
574 .seealso:  MatGetInfo(), MatInfoType
575 S*/
576 typedef struct {
577   PetscLogDouble block_size;                         /* block size */
578   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
579   PetscLogDouble memory;                             /* memory allocated */
580   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
581   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
582   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
583   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
584 } MatInfo;
585 
586 /*E
587     MatInfoType - Indicates if you want information about the local part of the matrix,
588      the entire parallel matrix or the maximum over all the local parts.
589 
590     Level: beginner
591 
592    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
593 
594 .seealso: MatGetInfo(), MatInfo
595 E*/
596 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
597 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
598 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
599 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
600 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
601 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
602 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
603 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
604 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
605 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
606 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
607 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
608 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
609 
610 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
611 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
612 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
613 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
614 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
615 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
616 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
617 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
618 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
619 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
620 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat,PetscInt,PetscBool*);
621 
622 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
623 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
624 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
625 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
626 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
627 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
628 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
629 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
630 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
631 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
632 
633 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
634 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
635 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
636 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
637 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
638 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
639 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
640 
641 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
642 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);}
643 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
644 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);}
645 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
646 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
647 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
648 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);}
649 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
650 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
651 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
652 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
653 
654 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
655 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
656 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
657 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
658 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
659 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
660 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
661 
662 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
663 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
664 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
665 
666 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
667 
668 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
669 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
670 
671 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
672 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
673 
674 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
675 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
676 
677 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
678 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
679 
680 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
681 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
682 
683 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
684 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
685 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
686 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat,PetscLayout,PetscLayout);
687 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
688 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
689 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
690 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
691 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
692 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
693 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
694 
695 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
696 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
697 
698 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
699 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
700 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
701 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
702 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);}
703 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
704 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
705 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
706 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
707 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
708 
709 /*MC
710    MatSetValue - Set a single entry into a matrix.
711 
712    Not collective
713 
714    Synopsis:
715      #include <petscmat.h>
716      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
717 
718    Input Parameters:
719 +  m - the matrix
720 .  row - the row location of the entry
721 .  col - the column location of the entry
722 .  value - the value to insert
723 -  mode - either INSERT_VALUES or ADD_VALUES
724 
725    Notes:
726    For efficiency one should use MatSetValues() and set several or many
727    values simultaneously if possible.
728 
729    Level: beginner
730 
731 .seealso: MatSetValues(), MatSetValueLocal()
732 M*/
733 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
734 
735 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
736 
737 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
738 
739 /*MC
740    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
741        row in a matrix providing the data that one can use to correctly preallocate the matrix.
742 
743    Synopsis:
744    #include <petscmat.h>
745    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
746 
747    Collective
748 
749    Input Parameters:
750 +  comm - the communicator that will share the eventually allocated matrix
751 .  nrows - the number of LOCAL rows in the matrix
752 -  ncols - the number of LOCAL columns in the matrix
753 
754    Output Parameters:
755 +  dnz - the array that will be passed to the matrix preallocation routines
756 -  onz - the other array passed to the matrix preallocation routines
757 
758    Level: intermediate
759 
760    Notes:
761     See Users-Manual: ch_performance for more details.
762 
763    Do not malloc or free dnz and onz, that is handled internally by these routines
764 
765    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
766 
767 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
768           MatPreallocateSymmetricSetLocalBlock()
769 M*/
770 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
771 do { \
772   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ncols = (ncols),__rstart,__start,__end; \
773   _4_ierr = PetscCalloc2((size_t)__nrows,&dnz,(size_t)__nrows,&onz);CHKERRQ(_4_ierr); \
774   __start = 0; __end = __start;                                         \
775   _4_ierr = MPI_Scan(&__ncols,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ncols;\
776   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows; \
777   do { } while (0)
778 
779 /*MC
780    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
781        inserted using a local number of the rows and columns
782 
783    Synopsis:
784    #include <petscmat.h>
785    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
786 
787    Not Collective
788 
789    Input Parameters:
790 +  map - the row mapping from local numbering to global numbering
791 .  nrows - the number of rows indicated
792 .  rows - the indices of the rows
793 .  cmap - the column mapping from local to global numbering
794 .  ncols - the number of columns in the matrix
795 .  cols - the columns indicated
796 .  dnz - the array that will be passed to the matrix preallocation routines
797 -  onz - the other array passed to the matrix preallocation routines
798 
799    Level: intermediate
800 
801    Notes:
802     See Users-Manual: ch_performance for more details.
803 
804    Do not malloc or free dnz and onz, that is handled internally by these routines
805 
806 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
807           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
808 M*/
809 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
810 do {\
811   PetscInt __l;\
812   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
813   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
814   for (__l=0;__l<nrows;__l++) {\
815     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
816   }\
817  } while (0)
818 
819 /*MC
820    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
821        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
822 
823    Synopsis:
824    #include <petscmat.h>
825    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
826 
827    Not Collective
828 
829    Input Parameters:
830 +  map - the row mapping from local numbering to global numbering
831 .  nrows - the number of rows indicated
832 .  rows - the indices of the rows (these values are mapped to the global values)
833 .  cmap - the column mapping from local to global numbering
834 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
835 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
836 .  dnz - the array that will be passed to the matrix preallocation routines
837 -  onz - the other array passed to the matrix preallocation routines
838 
839    Level: intermediate
840 
841    Notes:
842     See Users-Manual: ch_performance for more details.
843 
844    Do not malloc or free dnz and onz, that is handled internally by these routines
845 
846 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
847           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
848 M*/
849 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
850 do {\
851   PetscInt __l;\
852   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
853   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
854   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
855   for (__l=0;__l<nrows;__l++) {\
856     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
857   }\
858  } while (0)
859 
860 /*MC
861    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
862        inserted using a local number of the rows and columns
863 
864    Synopsis:
865    #include <petscmat.h>
866    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
867 
868    Not Collective
869 
870    Input Parameters:
871 +  map - the row mapping from local numbering to global numbering
872 .  nrows - the number of rows indicated
873 .  rows - the indices of the rows
874 .  cmap - the column mapping from local to global numbering
875 .  ncols - the number of columns in the matrix
876 .  cols - the columns indicated
877 .  dnz - the array that will be passed to the matrix preallocation routines
878 -  onz - the other array passed to the matrix preallocation routines
879 
880    Level: intermediate
881 
882    Notes:
883     See Users-Manual: ch_performance for more details.
884 
885    Do not malloc or free dnz and onz, that is handled internally by these routines
886 
887 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
888           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
889 M*/
890 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
891 do {\
892   PetscInt __l;\
893   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
894   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
895   for (__l=0;__l<nrows;__l++) {\
896     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
897   }\
898 } while (0)
899 
900 /*MC
901    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
902        inserted using a local number of the rows and columns
903 
904    Synopsis:
905    #include <petscmat.h>
906    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
907 
908    Not Collective
909 
910    Input Parameters:
911 +  map - the mapping between local numbering and global numbering
912 .  nrows - the number of rows indicated
913 .  rows - the indices of the rows
914 .  ncols - the number of columns in the matrix
915 .  cols - the columns indicated
916 .  dnz - the array that will be passed to the matrix preallocation routines
917 -  onz - the other array passed to the matrix preallocation routines
918 
919    Level: intermediate
920 
921    Notes:
922     See Users-Manual: ch_performance for more details.
923 
924    Do not malloc or free dnz and onz that is handled internally by these routines
925 
926 .seealso: MatPreallocateFinalize(), MatPreallocateSet()
927           MatPreallocateInitialize(),  MatPreallocateSetLocal()
928 M*/
929 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
930 do {\
931   PetscInt __l;\
932   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
933   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
934   for (__l=0;__l<nrows;__l++) {\
935     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
936   }\
937 } while (0)
938 
939 /*MC
940    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
941        inserted using a local number of the rows and columns
942 
943    Synopsis:
944    #include <petscmat.h>
945    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
946 
947    Not Collective
948 
949    Input Parameters:
950 +  row - the row
951 .  ncols - the number of columns in the matrix
952 -  cols - the columns indicated
953 
954    Output Parameters:
955 +  dnz - the array that will be passed to the matrix preallocation routines
956 -  onz - the other array passed to the matrix preallocation routines
957 
958    Level: intermediate
959 
960    Notes:
961     See Users-Manual: ch_performance for more details.
962 
963    Do not malloc or free dnz and onz that is handled internally by these routines
964 
965    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
966 
967 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
968           MatPreallocateInitialize(), MatPreallocateSetLocal()
969 M*/
970 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
971 do { PetscInt __i; \
972   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);\
973   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);\
974   for (__i=0; __i<nc; __i++) {\
975     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
976     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
977   }\
978 } while (0)
979 
980 /*MC
981    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
982        inserted using a local number of the rows and columns
983 
984    Synopsis:
985    #include <petscmat.h>
986    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
987 
988    Not Collective
989 
990    Input Parameters:
991 +  nrows - the number of rows indicated
992 .  rows - the indices of the rows
993 .  ncols - the number of columns in the matrix
994 .  cols - the columns indicated
995 .  dnz - the array that will be passed to the matrix preallocation routines
996 -  onz - the other array passed to the matrix preallocation routines
997 
998    Level: intermediate
999 
1000    Notes:
1001     See Users-Manual: ch_performance for more details.
1002 
1003    Do not malloc or free dnz and onz that is handled internally by these routines
1004 
1005    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
1006 
1007 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
1008           MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
1009 M*/
1010 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
1011 do { PetscInt __i; \
1012   for (__i=0; __i<nc; __i++) {\
1013     if (cols[__i] >= __end) onz[row - __rstart]++; \
1014     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
1015   }\
1016 } while (0)
1017 
1018 /*MC
1019    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1020 
1021    Synopsis:
1022    #include <petscmat.h>
1023    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1024 
1025    Not Collective
1026 
1027    Input Parameters:
1028 +  A - matrix
1029 .  row - row where values exist (must be local to this process)
1030 .  ncols - number of columns
1031 .  cols - columns with nonzeros
1032 .  dnz - the array that will be passed to the matrix preallocation routines
1033 -  onz - the other array passed to the matrix preallocation routines
1034 
1035    Level: intermediate
1036 
1037    Notes:
1038     See Users-Manual: ch_performance for more details.
1039 
1040    Do not malloc or free dnz and onz that is handled internally by these routines
1041 
1042    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
1043 
1044 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1045           MatPreallocateSymmetricSetLocalBlock()
1046 M*/
1047 #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)
1048 
1049 
1050 /*MC
1051    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
1052        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1053 
1054    Synopsis:
1055    #include <petscmat.h>
1056    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
1057 
1058    Collective
1059 
1060    Input Parameters:
1061 +  dnz - the array that was be passed to the matrix preallocation routines
1062 -  onz - the other array passed to the matrix preallocation routines
1063 
1064    Level: intermediate
1065 
1066    Notes:
1067     See Users-Manual: ch_performance for more details.
1068 
1069    Do not malloc or free dnz and onz that is handled internally by these routines
1070 
1071    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
1072 
1073 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1074           MatPreallocateSymmetricSetLocalBlock()
1075 M*/
1076 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);} while (0)
1077 
1078 /* Routines unique to particular data structures */
1079 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
1080 
1081 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
1082 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1083 
1084 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1085 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1086 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1087 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1088 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1089 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
1090 
1091 #define MAT_SKIP_ALLOCATION -4
1092 
1093 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1094 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1095 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1096 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat,PetscInt);
1097 
1098 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1099 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1100 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1101 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1102 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1103 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1104 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1105 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1106 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat,Mat*);
1107 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1108 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1109 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1110 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1111 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1112 
1113 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat,PetscInt*);
1114 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat,PetscInt);
1115 PETSC_DEPRECATED_FUNCTION("Use MatDenseSetLDA() (since version 3.14)") PETSC_STATIC_INLINE PetscErrorCode MatSeqDenseSetLDA(Mat A,PetscInt lda) {return MatDenseSetLDA(A,lda);}
1116 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1117 
1118 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1119 
1120 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1121 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1122 
1123 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1124 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1125 /*
1126   These routines are not usually accessed directly, rather solving is
1127   done through the KSP and PC interfaces.
1128 */
1129 
1130 /*J
1131     MatOrderingType - String with the name of a PETSc matrix ordering
1132 
1133    Level: beginner
1134 
1135    Notes:
1136       If MATORDERINGEXTERNAL is used then PETSc does not compute an ordering and utilizes one built into the factorization package
1137 
1138 .seealso: MatGetOrdering()
1139 J*/
1140 typedef const char* MatOrderingType;
1141 #define MATORDERINGNATURAL        "natural"
1142 #define MATORDERINGND             "nd"
1143 #define MATORDERING1WD            "1wd"
1144 #define MATORDERINGRCM            "rcm"
1145 #define MATORDERINGQMD            "qmd"
1146 #define MATORDERINGROWLENGTH      "rowlength"
1147 #define MATORDERINGWBM            "wbm"
1148 #define MATORDERINGSPECTRAL       "spectral"
1149 #define MATORDERINGAMD            "amd"            /* only works if UMFPACK is installed with PETSc */
1150 #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 */
1151 #define MATORDERINGEXTERNAL       "external"       /* uses an ordering type internal to the factorization package */
1152 
1153 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1154 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1155 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1156 PETSC_EXTERN PetscFunctionList MatOrderingList;
1157 
1158 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1159 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1160 
1161 /*S
1162     MatFactorShiftType - Numeric Shift for factorizations
1163 
1164    Level: beginner
1165 
1166 .seealso: MatGetFactor()
1167 S*/
1168 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1169 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1170 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1171 
1172 /*S
1173     MatFactorError - indicates what type of error was generated in a matrix factorization
1174 
1175     Level: beginner
1176 
1177     Developer Notes:
1178     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1179 
1180 .seealso: MatGetFactor()
1181 S*/
1182 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1183 
1184 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1185 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1186 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1187 
1188 /*S
1189    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1190 
1191    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1192 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1193 
1194    Notes:
1195     These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1196 
1197       You can use MatFactorInfoInitialize() to set default values.
1198 
1199    Level: developer
1200 
1201 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1202           MatFactorInfoInitialize()
1203 
1204 S*/
1205 typedef struct {
1206   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1207   PetscReal     usedt;
1208   PetscReal     dt;             /* drop tolerance */
1209   PetscReal     dtcol;          /* tolerance for pivoting */
1210   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1211   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1212   PetscReal     levels;         /* ICC/ILU(levels) */
1213   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1214                                    factorization may be faster if do not pivot */
1215   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1216   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1217   PetscReal     shiftamount;     /* how large the shift is */
1218 } MatFactorInfo;
1219 
1220 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1221 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1222 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1223 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1224 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1225 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1226 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1227 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1228 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1229 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1230 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1231 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1232 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1233 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1234 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1235 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1236 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1237 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1238 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1239 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1240 
1241 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1242 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1243 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1244 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1245 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1246 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1247 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1248 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1249 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1250 
1251 /*E
1252     MatSORType - What type of (S)SOR to perform
1253 
1254     Level: beginner
1255 
1256    May be bitwise ORd together
1257 
1258    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1259 
1260    MatSORType may be bitwise ORd together, so do not change the numbers
1261 
1262 .seealso: MatSOR()
1263 E*/
1264 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1265               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1266               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1267               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1268 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1269 
1270 /*
1271     These routines are for efficiently computing Jacobians via finite differences.
1272 */
1273 
1274 /*S
1275      MatColoring - Object for managing the coloring of matrices.
1276 
1277    Level: beginner
1278 
1279     Notes:
1280        Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the MatColoring object or from the mesh from which the
1281        matrix comes from via DMCreateColoring(). In general using the mesh produces a more optimal coloring (fewer colors).
1282 
1283        Once a coloring is available MatFDColoringCreate() creates an object that can be used to efficiently compute Jacobians using that coloring. This
1284        same object can also be used to efficiently convert data created by Automatic Differentation tools to PETSc sparse matrices.
1285 
1286 .seealso:  MatFDColoringCreate(), MatColoringWeightType, ISColoring, MatFDColoring, DMCreateColoring(), MatColoringCreate(), MatOrdering, MatPartitioning
1287 S*/
1288 typedef struct _p_MatColoring* MatColoring;
1289 
1290 /*J
1291     MatColoringType - String with the name of a PETSc matrix coloring
1292 
1293    Level: beginner
1294 
1295 .seealso: MatColoringSetType(), MatColoring
1296 J*/
1297 typedef const  char*           MatColoringType;
1298 #define MATCOLORINGJP      "jp"
1299 #define MATCOLORINGPOWER   "power"
1300 #define MATCOLORINGNATURAL "natural"
1301 #define MATCOLORINGSL      "sl"
1302 #define MATCOLORINGLF      "lf"
1303 #define MATCOLORINGID      "id"
1304 #define MATCOLORINGGREEDY  "greedy"
1305 
1306 /*E
1307    MatColoringWeightType - Type of weight scheme
1308 
1309     Not Collective
1310 
1311 +   MAT_COLORING_RANDOM  - Random weights
1312 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1313 -   MAT_COLORING_LF      - Last-first weighting.
1314 
1315     Level: intermediate
1316 
1317    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1318 
1319 .seealso: MatColoring, MatColoringCreate()
1320 E*/
1321 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1322 
1323 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1324 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1325 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1326 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1327 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1328 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1329 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1330 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1331 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1332 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1333 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1334 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1335 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1336 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1337 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1338 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1339 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring,ISColoring);
1340 PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") PETSC_STATIC_INLINE PetscErrorCode MatColoringTestValid(MatColoring matcoloring,ISColoring iscoloring) {return MatColoringTest(matcoloring,iscoloring);}
1341 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat,ISColoring);
1342 
1343 /*S
1344      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1345         and coloring
1346 
1347    Level: beginner
1348 
1349    Notes:
1350       This object is creating utilizing a coloring provided by the MatColoring object or DMCreateColoring()
1351 
1352 .seealso:  MatFDColoringCreate(), MatColoring, DMCreateColoring()
1353 S*/
1354 typedef struct _p_MatFDColoring* MatFDColoring;
1355 
1356 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1357 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1358 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1359 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1360 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1361 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1362 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1363 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1364 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1365 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1366 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1367 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1368 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat,MatFDColoring,const PetscScalar*);
1369 
1370 /*S
1371      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1372 
1373    Level: beginner
1374 
1375 .seealso:  MatTransposeColoringCreate()
1376 S*/
1377 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1378 
1379 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1380 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1381 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1382 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1383 
1384 /*
1385     These routines are for partitioning matrices: currently used only
1386   for adjacency matrix, MatCreateMPIAdj().
1387 */
1388 
1389 /*S
1390      MatPartitioning - Object for managing the partitioning of a matrix or graph
1391 
1392    Level: beginner
1393 
1394    Notes:
1395      There is also a PetscPartitioner object that provides the same functionality. It can utilize the MatPartitioning operations
1396      via PetscPartitionerSetType(p,PETSCPARTITIONERMATPARTITIONING)
1397 
1398    Developers Note:
1399      It is an extra maintainance and documentation cost to have two objects with the same functionality.
1400 
1401 .seealso:  MatPartitioningCreate(), MatPartitioningType, MatColoring, MatGetOrdering()
1402 S*/
1403 typedef struct _p_MatPartitioning* MatPartitioning;
1404 
1405 /*J
1406     MatPartitioningType - String with the name of a PETSc matrix partitioning
1407 
1408    Level: beginner
1409 dm
1410 .seealso: MatPartitioningCreate(), MatPartitioning
1411 J*/
1412 typedef const char* MatPartitioningType;
1413 #define MATPARTITIONINGCURRENT  "current"
1414 #define MATPARTITIONINGAVERAGE   "average"
1415 #define MATPARTITIONINGSQUARE   "square"
1416 #define MATPARTITIONINGPARMETIS "parmetis"
1417 #define MATPARTITIONINGCHACO    "chaco"
1418 #define MATPARTITIONINGPARTY    "party"
1419 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1420 #define MATPARTITIONINGHIERARCH  "hierarch"
1421 
1422 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1423 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1424 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1425 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1426 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1427 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1428 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning,PetscBool);
1429 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning,PetscBool*);
1430 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1431 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning,IS*);
1432 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning,IS);
1433 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning,IS*);
1434 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1435 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1436 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1437 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning,PetscObject,const char[]);
1438 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1439 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1440 
1441 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1442 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1443 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1444 
1445 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1446 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1447 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1448 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1449 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1450 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1451 
1452 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1453 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1454 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1455 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1456 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1457 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1458 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1459 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1460 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1461 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1462 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1463 
1464 #define MP_PARTY_OPT "opt"
1465 #define MP_PARTY_LIN "lin"
1466 #define MP_PARTY_SCA "sca"
1467 #define MP_PARTY_RAN "ran"
1468 #define MP_PARTY_GBF "gbf"
1469 #define MP_PARTY_GCF "gcf"
1470 #define MP_PARTY_BUB "bub"
1471 #define MP_PARTY_DEF "def"
1472 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1473 #define MP_PARTY_HELPFUL_SETS "hs"
1474 #define MP_PARTY_KERNIGHAN_LIN "kl"
1475 #define MP_PARTY_NONE "no"
1476 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1477 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1478 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1479 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1480 
1481 typedef enum { MP_PTSCOTCH_DEFAULT,MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1482 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1483 
1484 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1485 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1486 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1487 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1488 
1489 /*
1490  * hierarchical partitioning
1491  */
1492 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1493 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1494 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1495 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1496 
1497 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1498 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1499 
1500 /*
1501     If you add entries here you must also add them to include/petscmat.h
1502     and src/mat/f90-mod/petscmat.h
1503 */
1504 typedef enum { MATOP_SET_VALUES=0,
1505                MATOP_GET_ROW=1,
1506                MATOP_RESTORE_ROW=2,
1507                MATOP_MULT=3,
1508                MATOP_MULT_ADD=4,
1509                MATOP_MULT_TRANSPOSE=5,
1510                MATOP_MULT_TRANSPOSE_ADD=6,
1511                MATOP_SOLVE=7,
1512                MATOP_SOLVE_ADD=8,
1513                MATOP_SOLVE_TRANSPOSE=9,
1514                MATOP_SOLVE_TRANSPOSE_ADD=10,
1515                MATOP_LUFACTOR=11,
1516                MATOP_CHOLESKYFACTOR=12,
1517                MATOP_SOR=13,
1518                MATOP_TRANSPOSE=14,
1519                MATOP_GETINFO=15,
1520                MATOP_EQUAL=16,
1521                MATOP_GET_DIAGONAL=17,
1522                MATOP_DIAGONAL_SCALE=18,
1523                MATOP_NORM=19,
1524                MATOP_ASSEMBLY_BEGIN=20,
1525                MATOP_ASSEMBLY_END=21,
1526                MATOP_SET_OPTION=22,
1527                MATOP_ZERO_ENTRIES=23,
1528                MATOP_ZERO_ROWS=24,
1529                MATOP_LUFACTOR_SYMBOLIC=25,
1530                MATOP_LUFACTOR_NUMERIC=26,
1531                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1532                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1533                MATOP_SETUP_PREALLOCATION=29,
1534                MATOP_ILUFACTOR_SYMBOLIC=30,
1535                MATOP_ICCFACTOR_SYMBOLIC=31,
1536                MATOP_GET_DIAGONAL_BLOCK=32,
1537                MATOP_FREE_INTER_STRUCT=33,
1538                MATOP_DUPLICATE=34,
1539                MATOP_FORWARD_SOLVE=35,
1540                MATOP_BACKWARD_SOLVE=36,
1541                MATOP_ILUFACTOR=37,
1542                MATOP_ICCFACTOR=38,
1543                MATOP_AXPY=39,
1544                MATOP_CREATE_SUBMATRICES=40,
1545                MATOP_INCREASE_OVERLAP=41,
1546                MATOP_GET_VALUES=42,
1547                MATOP_COPY=43,
1548                MATOP_GET_ROW_MAX=44,
1549                MATOP_SCALE=45,
1550                MATOP_SHIFT=46,
1551                MATOP_DIAGONAL_SET=47,
1552                MATOP_ZERO_ROWS_COLUMNS=48,
1553                MATOP_SET_RANDOM=49,
1554                MATOP_GET_ROW_IJ=50,
1555                MATOP_RESTORE_ROW_IJ=51,
1556                MATOP_GET_COLUMN_IJ=52,
1557                MATOP_RESTORE_COLUMN_IJ=53,
1558                MATOP_FDCOLORING_CREATE=54,
1559                MATOP_COLORING_PATCH=55,
1560                MATOP_SET_UNFACTORED=56,
1561                MATOP_PERMUTE=57,
1562                MATOP_SET_VALUES_BLOCKED=58,
1563                MATOP_CREATE_SUBMATRIX=59,
1564                MATOP_DESTROY=60,
1565                MATOP_VIEW=61,
1566                MATOP_CONVERT_FROM=62,
1567                MATOP_MATMAT_MULT=63,
1568                MATOP_MATMAT_MULT_SYMBOLIC=64,
1569                MATOP_MATMAT_MULT_NUMERIC=65,
1570                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1571                MATOP_SET_VALUES_LOCAL=67,
1572                MATOP_ZERO_ROWS_LOCAL=68,
1573                MATOP_GET_ROW_MAX_ABS=69,
1574                MATOP_GET_ROW_MIN_ABS=70,
1575                MATOP_CONVERT=71,
1576                MATOP_SET_COLORING=72,
1577                /* MATOP_PLACEHOLDER_73=73, */
1578                MATOP_SET_VALUES_ADIFOR=74,
1579                MATOP_FD_COLORING_APPLY=75,
1580                MATOP_SET_FROM_OPTIONS=76,
1581                MATOP_MULT_CONSTRAINED=77,
1582                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1583                MATOP_FIND_ZERO_DIAGONALS=79,
1584                MATOP_MULT_MULTIPLE=80,
1585                MATOP_SOLVE_MULTIPLE=81,
1586                MATOP_GET_INERTIA=82,
1587                MATOP_LOAD=83,
1588                MATOP_IS_SYMMETRIC=84,
1589                MATOP_IS_HERMITIAN=85,
1590                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1591                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1592                MATOP_CREATE_VECS=88,
1593                MATOP_MAT_MULT=89,
1594                MATOP_MAT_MULT_SYMBOLIC=90,
1595                MATOP_MAT_MULT_NUMERIC=91,
1596                MATOP_PTAP=92,
1597                MATOP_PTAP_SYMBOLIC=93,
1598                MATOP_PTAP_NUMERIC=94,
1599                MATOP_MAT_TRANSPOSE_MULT=95,
1600                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1601                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1602                /* MATOP_PLACEHOLDER_98=98, */
1603                MATOP_PRODUCTSETFROMOPTIONS=99,
1604                MATOP_PRODUCTSYMBOLIC=100,
1605                MATOP_PRODUCTNUMERIC=101,
1606                MATOP_CONJUGATE=102,
1607                /* MATOP_PLACEHOLDER_103=103, */
1608                MATOP_SET_VALUES_ROW=104,
1609                MATOP_REAL_PART=105,
1610                MATOP_IMAGINARY_PART=106,
1611                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1612                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1613                MATOP_MAT_SOLVE=109,
1614                MATOP_MAT_SOLVE_TRANSPOSE=110,
1615                MATOP_GET_ROW_MIN=111,
1616                MATOP_GET_COLUMN_VECTOR=112,
1617                MATOP_MISSING_DIAGONAL=113,
1618                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1619                MATOP_CREATE=115,
1620                MATOP_GET_GHOSTS=116,
1621                MATOP_GET_LOCAL_SUB_MATRIX=117,
1622                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1623                MATOP_MULT_DIAGONAL_BLOCK=119,
1624                MATOP_HERMITIAN_TRANSPOSE=120,
1625                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1626                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1627                MATOP_GET_MULTI_PROC_BLOCK=123,
1628                MATOP_FIND_NONZERO_ROWS=124,
1629                MATOP_GET_COLUMN_NORMS=125,
1630                MATOP_INVERT_BLOCK_DIAGONAL=126,
1631                /* MATOP_PLACEHOLDER_127=127, */
1632                MATOP_CREATE_SUB_MATRICES_MPI=128,
1633                MATOP_SET_VALUES_BATCH=129,
1634                MATOP_TRANSPOSE_MAT_MULT=130,
1635                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1636                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1637                MATOP_TRANSPOSE_COLORING_CREAT=133,
1638                MATOP_TRANS_COLORING_APPLY_SPT=134,
1639                MATOP_TRANS_COLORING_APPLY_DEN=135,
1640                MATOP_RART=136,
1641                MATOP_RART_SYMBOLIC=137,
1642                MATOP_RART_NUMERIC=138,
1643                MATOP_SET_BLOCK_SIZES=139,
1644                MATOP_AYPX=140,
1645                MATOP_RESIDUAL=141,
1646                MATOP_FDCOLORING_SETUP=142,
1647                MATOP_MPICONCATENATESEQ=144,
1648                MATOP_DESTROYSUBMATRICES=145,
1649                MATOP_TRANSPOSE_SOLVE=146,
1650                MATOP_GET_VALUES_LOCAL=147
1651              } MatOperation;
1652 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat,MatOperation,void(*)(void));
1653 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat,MatOperation,void(**)(void));
1654 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool*);
1655 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat,PetscBool*);
1656 PETSC_DEPRECATED_FUNCTION("Use MatProductClear() (since version 3.14)") PETSC_STATIC_INLINE PetscErrorCode MatFreeIntermediateDataStructures(Mat A) {return MatProductClear(A);}
1657 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1658 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1659 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1660 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat,VecType);
1661 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1662 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1663 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1664 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat,MatProductType,PetscErrorCode (*)(Mat,Mat,Mat,void**),PetscErrorCode (*)(Mat,Mat,Mat,void*),PetscErrorCode (*)(void*),MatType,MatType);
1665 PETSC_EXTERN PetscErrorCode MatIsShell(Mat,PetscBool*);
1666 
1667 /*
1668    Codes for matrices stored on disk. By default they are
1669    stored in a universal format. By changing the format with
1670    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1671    be stored in a way natural for the matrix, for example dense matrices
1672    would be stored as dense. Matrices stored this way may only be
1673    read into matrices of the same type.
1674 */
1675 #define MATRIX_BINARY_FORMAT_DENSE -1
1676 
1677 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1678 
1679 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat,MatType);
1680 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1681 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat,PetscBool);
1682 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat,PetscBool);
1683 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1684 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1685 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1686 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1687 
1688 /*S
1689      MatNullSpace - Object that removes a null space from a vector, i.e.
1690          orthogonalizes the vector to a subsapce
1691 
1692    Level: advanced
1693 
1694   Users manual sections:
1695 .   sec_singular
1696 
1697 .seealso:  MatNullSpaceCreate()
1698 S*/
1699 typedef struct _p_MatNullSpace* MatNullSpace;
1700 
1701 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1702 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1703 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1704 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1705 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1706 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1707 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1708 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1709 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1710 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1711 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1712 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1713 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1714 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1715 
1716 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1717 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1718 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1719 
1720 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1721 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1722 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1723 
1724 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat,MatType,Mat*);
1725 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat,MatType,Mat*);
1726 
1727 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") PETSC_STATIC_INLINE PetscErrorCode MatComputeExplicitOperator(Mat A,Mat* B) { return MatComputeOperator(A,NULL,B); }
1728 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") PETSC_STATIC_INLINE PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A,Mat* B) { return MatComputeOperatorTranspose(A,NULL,B); }
1729 
1730 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat,PetscInt,PetscInt,const PetscScalar[],const PetscScalar[],Mat*);
1731 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat,Mat*);
1732 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat,PetscInt*,PetscInt*,PetscScalar**);
1733 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1734 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat,PetscScalar**);
1735 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat,const PetscScalar**);
1736 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat,PetscInt*,PetscInt*,PetscScalar**);
1737 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1738 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat,PetscScalar**);
1739 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat,const PetscScalar**);
1740 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat,Mat);
1741 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat,PetscInt,PetscInt,const PetscScalar[]);
1742 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat,PetscInt,PetscInt,const PetscScalar[]);
1743 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat,PetscBool*);
1744 
1745 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1746 
1747 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1748 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1749 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1750 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1751 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1752 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1753 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1754 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1755 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1756 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1757 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1758 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1759 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1760 
1761 /*S
1762     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1763               Jacobian vector products
1764 
1765     Notes:
1766     MATMFFD is a specific MatType which uses the MatMFFD data structure
1767 
1768            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1769 
1770     Level: developer
1771 
1772 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1773 S*/
1774 typedef struct _p_MatMFFD* MatMFFD;
1775 
1776 /*J
1777     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1778 
1779    Level: beginner
1780 
1781 .seealso: MatMFFDSetType(), MatMFFDRegister()
1782 J*/
1783 typedef const char* MatMFFDType;
1784 #define MATMFFD_DS  "ds"
1785 #define MATMFFD_WP  "wp"
1786 
1787 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1788 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1789 
1790 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1791 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool);
1792 
1793 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1794 
1795 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1796 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1797 
1798 #ifdef PETSC_HAVE_HARA
1799 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatHaraKernel)(PetscInt,PetscReal[],PetscReal[],void*);
1800 PETSC_EXTERN PetscErrorCode MatCreateHaraFromKernel(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscReal[],MatHaraKernel,void*,PetscReal,PetscInt,PetscInt,Mat*);
1801 PETSC_EXTERN PetscErrorCode MatCreateHaraFromMat(Mat,PetscInt,const PetscReal[],PetscReal,PetscInt,PetscInt,PetscInt,PetscReal,Mat*);
1802 PETSC_EXTERN PetscErrorCode MatHaraSetSamplingMat(Mat,Mat,PetscInt,PetscReal);
1803 #endif
1804 
1805 /*
1806    PETSc interface to MUMPS
1807 */
1808 #ifdef PETSC_HAVE_MUMPS
1809 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1810 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1811 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1812 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1813 
1814 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1815 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1816 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1817 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1818 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat,Mat);
1819 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat,Mat);
1820 #endif
1821 
1822 /*
1823    PETSc interface to Mkl_Pardiso
1824 */
1825 #ifdef PETSC_HAVE_MKL_PARDISO
1826 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1827 #endif
1828 
1829 /*
1830    PETSc interface to Mkl_CPardiso
1831 */
1832 #ifdef PETSC_HAVE_MKL_CPARDISO
1833 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1834 #endif
1835 
1836 /*
1837    PETSc interface to SUPERLU
1838 */
1839 #ifdef PETSC_HAVE_SUPERLU
1840 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1841 #endif
1842 
1843 /*
1844    PETSc interface to SUPERLU_DIST
1845 */
1846 #ifdef PETSC_HAVE_SUPERLU_DIST
1847 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1848 #endif
1849 
1850 /*
1851    PETSc interface to STRUMPACK
1852 */
1853 #ifdef PETSC_HAVE_STRUMPACK
1854 /*E
1855     MatSTRUMPACKReordering - sparsity reducing ordering to be used in STRUMPACK
1856 
1857     Level: intermediate
1858 E*/
1859 typedef enum {MAT_STRUMPACK_NATURAL=0,
1860               MAT_STRUMPACK_METIS=1,
1861               MAT_STRUMPACK_PARMETIS=2,
1862               MAT_STRUMPACK_SCOTCH=3,
1863               MAT_STRUMPACK_PTSCOTCH=4,
1864               MAT_STRUMPACK_RCM=5} MatSTRUMPACKReordering;
1865 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat,MatSTRUMPACKReordering);
1866 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1867 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat,PetscReal);
1868 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat,PetscReal rtol) {return MatSTRUMPACKSetHSSRelTol(mat,rtol);}
1869 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat,PetscReal);
1870 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat,PetscInt);
1871 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat,PetscInt hssminsize) {return MatSTRUMPACKSetHSSMinSepSize(mat,hssminsize);}
1872 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat,PetscInt);
1873 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat,PetscInt);
1874 #endif
1875 
1876 
1877 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat,PetscBool);
1878 PETSC_DEPRECATED_FUNCTION("Use MatBindToCPU (since v3.13)") PETSC_STATIC_INLINE PetscErrorCode MatPinToCPU(Mat A,PetscBool flg) {return MatBindToCPU(A,flg);}
1879 
1880 #ifdef PETSC_HAVE_CUDA
1881 /*E
1882     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1883     matrices.
1884 
1885     Not Collective
1886 
1887 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1888 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1889 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1890 
1891     Level: intermediate
1892 
1893    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1894 
1895 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1896 E*/
1897 
1898 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1899 
1900 /* these will be strings associated with enumerated type defined above */
1901 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1902 
1903 /*E
1904     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1905     matrices whose operation should use a particular storage format.
1906 
1907     Not Collective
1908 
1909 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1910 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1911 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1912 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1913 
1914     Level: intermediate
1915 
1916 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1917 E*/
1918 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1919 
1920 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1921 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1922 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1923 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSESetGenerateTranspose(Mat,PetscBool);
1924 
1925 typedef struct _p_SplitCSRMat PetscSplitCSRDataStructure;
1926 PETSC_EXTERN PetscErrorCode MatCUSPARSEGetDeviceMatWrite(Mat,PetscSplitCSRDataStructure**);
1927 
1928 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
1929 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
1930 PETSC_EXTERN PetscErrorCode MatMPIDenseCUDASetPreallocation(Mat,PetscScalar[]);
1931 PETSC_EXTERN PetscErrorCode MatSeqDenseCUDASetPreallocation(Mat,PetscScalar[]);
1932 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat,PetscScalar**);
1933 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat,const PetscScalar**);
1934 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat,PetscScalar**);
1935 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat,PetscScalar**);
1936 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat,const PetscScalar**);
1937 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat,PetscScalar**);
1938 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat,const PetscScalar*);
1939 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat,const PetscScalar*);
1940 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
1941 
1942 #endif
1943 
1944 #if defined(PETSC_HAVE_VIENNACL)
1945 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1946 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1947 #endif
1948 
1949 /*
1950    PETSc interface to FFTW
1951 */
1952 #if defined(PETSC_HAVE_FFTW)
1953 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1954 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1955 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1956 #endif
1957 
1958 #if defined(PETSC_HAVE_SCALAPACK)
1959 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1960 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat,PetscInt,PetscInt);
1961 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat,PetscInt*,PetscInt*);
1962 #endif
1963 
1964 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1965 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1966 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1967 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1968 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1969 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1970 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1971 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1972 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1973 
1974 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1975 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1976 
1977 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1978 
1979 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1980 
1981 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1982 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1983 #endif
1984