xref: /petsc/include/petscmat.h (revision 2065540a855ff9f9c49aa4d22d544ff2b07d8a79)
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 MATCENTERING       "centering"
63 #define MATDENSE           "dense"
64 #define MATDENSECUDA       "densecuda"
65 #define MATSEQDENSE        "seqdense"
66 #define MATSEQDENSECUDA    "seqdensecuda"
67 #define MATMPIDENSE        "mpidense"
68 #define MATMPIDENSECUDA    "mpidensecuda"
69 #define MATELEMENTAL       "elemental"
70 #define MATSCALAPACK       "scalapack"
71 #define MATBAIJ            "baij"
72 #define MATSEQBAIJ         "seqbaij"
73 #define MATMPIBAIJ         "mpibaij"
74 #define MATMPIADJ          "mpiadj"
75 #define MATSBAIJ           "sbaij"
76 #define MATSEQSBAIJ        "seqsbaij"
77 #define MATMPISBAIJ        "mpisbaij"
78 #define MATMFFD            "mffd"
79 #define MATNORMAL          "normal"
80 #define MATNORMALHERMITIAN "normalh"
81 #define MATLRC             "lrc"
82 #define MATSCATTER         "scatter"
83 #define MATBLOCKMAT        "blockmat"
84 #define MATCOMPOSITE       "composite"
85 #define MATFFT             "fft"
86 #define MATFFTW            "fftw"
87 #define MATSEQCUFFT        "seqcufft"
88 #define MATTRANSPOSEMAT    "transpose"
89 #define MATSCHURCOMPLEMENT "schurcomplement"
90 #define MATPYTHON          "python"
91 #define MATHYPRE           "hypre"
92 #define MATHYPRESTRUCT     "hyprestruct"
93 #define MATHYPRESSTRUCT    "hypresstruct"
94 #define MATSUBMATRIX       "submatrix"
95 #define MATLOCALREF        "localref"
96 #define MATNEST            "nest"
97 #define MATPREALLOCATOR    "preallocator"
98 #define MATSELL            "sell"
99 #define MATSEQSELL         "seqsell"
100 #define MATMPISELL         "mpisell"
101 #define MATDUMMY           "dummy"
102 #define MATLMVM            "lmvm"
103 #define MATLMVMDFP         "lmvmdfp"
104 #define MATLMVMBFGS        "lmvmbfgs"
105 #define MATLMVMSR1         "lmvmsr1"
106 #define MATLMVMBROYDEN     "lmvmbroyden"
107 #define MATLMVMBADBROYDEN  "lmvmbadbroyden"
108 #define MATLMVMSYMBROYDEN  "lmvmsymbroyden"
109 #define MATLMVMSYMBADBROYDEN "lmvmsymbadbroyden"
110 #define MATLMVMDIAGBROYDEN   "lmvmdiagbroyden"
111 #define MATCONSTANTDIAGONAL  "constantdiagonal"
112 #define MATHARA              "hara"
113 #define MATHTOOL           "htool"
114 
115 /*J
116     MatSolverType - String with the name of a PETSc matrix solver type.
117 
118     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
119 
120    Level: beginner
121 
122    Notes:  MATSOLVERUMFPACK, MATSOLVERCHOLMOD, MATSOLVERKLU, MATSOLVERSPQR form the SuiteSparse package for which you can use --download-suitesparse
123 
124 .seealso: MatGetFactor(), PCFactorSetMatSolverType(), PCFactorGetMatSolverType()
125 J*/
126 typedef const char* MatSolverType;
127 #define MATSOLVERSUPERLU          "superlu"
128 #define MATSOLVERSUPERLU_DIST     "superlu_dist"
129 #define MATSOLVERSTRUMPACK        "strumpack"
130 #define MATSOLVERUMFPACK          "umfpack"
131 #define MATSOLVERCHOLMOD          "cholmod"
132 #define MATSOLVERKLU              "klu"
133 #define MATSOLVERSPARSEELEMENTAL  "sparseelemental"
134 #define MATSOLVERELEMENTAL        "elemental"
135 #define MATSOLVERSCALAPACK        "scalapack"
136 #define MATSOLVERESSL             "essl"
137 #define MATSOLVERLUSOL            "lusol"
138 #define MATSOLVERMUMPS            "mumps"
139 #define MATSOLVERMKL_PARDISO      "mkl_pardiso"
140 #define MATSOLVERMKL_CPARDISO     "mkl_cpardiso"
141 #define MATSOLVERPASTIX           "pastix"
142 #define MATSOLVERMATLAB           "matlab"
143 #define MATSOLVERPETSC            "petsc"
144 #define MATSOLVERBAS              "bas"
145 #define MATSOLVERCUSPARSE         "cusparse"
146 #define MATSOLVERCUSPARSEBAND     "cusparseband"
147 #define MATSOLVERCUDA             "cuda"
148 #define MATSOLVERKOKKOS           "kokkos"
149 #define MATSOLVERKOKKOSDEVICE     "kokkosdevice"
150 
151 /*E
152     MatFactorType - indicates what type of factorization is requested
153 
154     Level: beginner
155 
156    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
157 
158 .seealso: MatSolverType, MatGetFactor(), MatGetFactorAvailable(), MatSolverTypeRegister()
159 E*/
160 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC, MAT_FACTOR_ILUDT, MAT_FACTOR_QR, MAT_FACTOR_NUM_TYPES} MatFactorType;
161 PETSC_EXTERN const char *const MatFactorTypes[];
162 
163 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,MatSolverType,MatFactorType,Mat*);
164 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,MatSolverType,MatFactorType,PetscBool *);
165 PETSC_EXTERN PetscErrorCode MatFactorGetCanUseOrdering(Mat, PetscBool*);
166 PETSC_DEPRECATED_FUNCTION("Use MatFactorGetCanUseOrdering() (since version 3.15)") PETSC_STATIC_INLINE PetscErrorCode MatFactorGetUseOrdering(Mat A,PetscBool *b) {return MatFactorGetCanUseOrdering(A,b);}
167 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat,MatSolverType*);
168 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
169 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat,MatFactorType);
170 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatSolverFunction)(Mat,MatFactorType,Mat*);
171 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType,MatType,MatFactorType,MatSolverFunction);
172 PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType,MatType,MatFactorType,PetscBool*,PetscBool*,MatSolverFunction*);
173 typedef MatSolverType MatSolverPackage PETSC_DEPRECATED_TYPEDEF("Use MatSolverType (since version 3.9)");
174 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeRegister() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSolverPackageRegister(MatSolverType stype,MatType mtype,MatFactorType ftype,MatSolverFunction f)
175 { return MatSolverTypeRegister(stype,mtype,ftype,f); }
176 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)
177 { return MatSolverTypeGet(stype,mtype,ftype,foundmtype,foundstype,f); }
178 
179 /*E
180     MatProductType - indicates what type of matrix product is requested
181 
182     Level: beginner
183 
184 .seealso: MatSolverType, MatProductSetType()
185 E*/
186 typedef enum {MATPRODUCT_UNSPECIFIED=0,MATPRODUCT_AB,MATPRODUCT_AtB,MATPRODUCT_ABt,MATPRODUCT_PtAP,MATPRODUCT_RARt,MATPRODUCT_ABC} MatProductType;
187 PETSC_EXTERN const char *const MatProductTypes[];
188 
189 /*J
190     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
191 
192    Level: beginner
193 
194 .seealso: MatSetType(), Mat, MatSolverType, MatRegister(), MatProductSetAlgorithm(), MatProductType
195 J*/
196 typedef const char* MatProductAlgorithm;
197 #define MATPRODUCTALGORITHM_DEFAULT "default"
198 
199 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat,Mat,Mat,Mat*);
200 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat,Mat,Mat,Mat);
201 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat,MatProductType);
202 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat,MatProductAlgorithm);
203 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat,PetscReal);
204 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
205 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
206 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
207 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat,Mat,Mat,Mat);
208 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
209 PETSC_EXTERN PetscErrorCode MatProductView(Mat,PetscViewer);
210 
211 /* Logging support */
212 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
213 PETSC_EXTERN PetscClassId MAT_CLASSID;
214 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
215 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
216 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
217 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
218 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
219 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
220 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
221 
222 /*E
223     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
224      are to be reused to store the new matrix values.
225 
226 $  MAT_INITIAL_MATRIX - create a new matrix
227 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
228 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
229 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
230 
231     Level: beginner
232 
233    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
234 
235 .seealso: MatCreateSubMatrices(), MatCreateSubMatrix(), MatDestroyMatrices(), MatConvert()
236 E*/
237 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
238 
239 /*E
240     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
241      include the matrix values. Currently it is only used by MatGetSeqNonzeroStructure().
242 
243     Level: beginner
244 
245 .seealso: MatGetSeqNonzeroStructure()
246 E*/
247 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatCreateSubMatrixOption;
248 
249 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
250 
251 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
252 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
253 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
254 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat,VecType*);
255 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat,VecType);
256 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
257 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat,PetscObject,const char[]);
258 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
259 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[],const char[],const char[]);
260 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
261 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
262 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
263 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
264 
265 PETSC_EXTERN PetscFunctionList MatList;
266 PETSC_EXTERN PetscFunctionList MatColoringList;
267 PETSC_EXTERN PetscFunctionList MatPartitioningList;
268 
269 /*E
270     MatStructure - Indicates if two matrices have the same nonzero structure
271 
272     Level: beginner
273 
274 $  SAME_NONZERO_PATTERN  - the two matrices have identical nonzero patterns
275 $  DIFFERENT_NONZERO_PATTERN - the two matrices may have different nonzero patterns
276 $  SUBSET_NONZERO_PATTERN - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
277 $  UNKNOWN_NONZERO_PATTERN - there is no known relationship between the nonzero patterns. In this case the implementations may try to detect a relationship to optimize the operation
278 
279    Developer Notes:
280      Any additions/changes here MUST also be made in src/mat/f90-mod/petscmat.h
281 
282 .seealso: MatCopy(), MatAXPY(), MatAYPX()
283 E*/
284 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN,UNKNOWN_NONZERO_PATTERN} MatStructure;
285 PETSC_EXTERN const char *const MatStructures[];
286 
287 #if defined PETSC_HAVE_MKL_SPARSE
288 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
289 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
290 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
291 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
292 #endif
293 
294 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
295 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
296 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat,PetscInt,const PetscInt[]);
297 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
298 
299 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
300 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
301 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
302 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
303 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
304 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
305 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
306 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm,Mat,Mat,const PetscInt[],Mat*);
307 
308 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
309 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
310 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
311 
312 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat,PetscInt,const PetscInt[],const PetscInt[]);
313 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat,const PetscScalar[],InsertMode);
314 
315 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
316 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
317 
318 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
319 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
320 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
321 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
322 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
323 
324 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
325 PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm,PetscInt,PetscInt,Mat*);
326 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
327 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
328 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
329 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
330 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
331 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
332 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
333 
334 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
335 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
336 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
337 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
338 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
339 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
340 typedef enum {MAT_COMPOSITE_MERGE_RIGHT,MAT_COMPOSITE_MERGE_LEFT} MatCompositeMergeType;
341 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat,MatCompositeMergeType);
342 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
343 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
344 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
345 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat,MatCompositeType*);
346 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat,MatStructure);
347 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat,MatStructure*);
348 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat,PetscInt*);
349 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat,PetscInt,Mat*);
350 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat,const PetscScalar*);
351 
352 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
353 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
354 
355 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
356 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
357 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
358 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat,Mat*);
359 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
360 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
361 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
362 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar,Mat*);
363 
364 #if defined(PETSC_HAVE_HYPRE)
365 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
366 #endif
367 
368 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
369 
370 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
371 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
372 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
373 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
374 
375 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
376 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
377 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
378 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
379 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
380 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
381 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat,PetscInt,const PetscInt*,PetscScalar*);
382 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat,Mat);
383 
384 /* ------------------------------------------------------------*/
385 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
386 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
387 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
388 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
389 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
390 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
391 
392 /*S
393      MatStencil - Data structure (C struct) for storing information about a single row or
394         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
395 
396    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).
397    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.
398 
399    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
400 
401    Fortran usage is different, see MatSetValuesStencil() for details.
402 
403    Level: beginner
404 
405 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
406 S*/
407 typedef struct {
408   PetscInt k,j,i,c;
409 } MatStencil;
410 
411 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
412 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
413 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
414 
415 /*E
416     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
417      to continue to add or insert values to it
418 
419     Level: beginner
420 
421 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
422 E*/
423 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
424 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
425 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
426 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
427 
428 
429 
430 /*E
431     MatOption - Options that may be set for a matrix and its behavior or storage
432 
433     Level: beginner
434 
435    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
436    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
437 
438    Developer Notes:
439     Entries that are negative need not be called collectively by all processes.
440 
441 .seealso: MatSetOption()
442 E*/
443 typedef enum {MAT_OPTION_MIN = -3,
444               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
445               MAT_ROW_ORIENTED = -1,
446               MAT_SYMMETRIC = 1,
447               MAT_STRUCTURALLY_SYMMETRIC = 2,
448               MAT_FORCE_DIAGONAL_ENTRIES = 3,
449               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
450               MAT_USE_HASH_TABLE = 5,
451               MAT_KEEP_NONZERO_PATTERN = 6,
452               MAT_IGNORE_ZERO_ENTRIES = 7,
453               MAT_USE_INODES = 8,
454               MAT_HERMITIAN = 9,
455               MAT_SYMMETRY_ETERNAL = 10,
456               MAT_NEW_NONZERO_LOCATION_ERR = 11,
457               MAT_IGNORE_LOWER_TRIANGULAR = 12,
458               MAT_ERROR_LOWER_TRIANGULAR = 13,
459               MAT_GETROW_UPPERTRIANGULAR = 14,
460               MAT_SPD = 15,
461               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
462               MAT_NO_OFF_PROC_ENTRIES = 17,
463               MAT_NEW_NONZERO_LOCATIONS = 18,
464               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
465               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
466               MAT_SUBMAT_SINGLEIS = 21,
467               MAT_STRUCTURE_ONLY = 22,
468               MAT_SORTED_FULL = 23,
469               MAT_FORM_EXPLICIT_TRANSPOSE = 24,
470               MAT_OPTION_MAX = 25} MatOption;
471 
472 PETSC_EXTERN const char *const *MatOptions;
473 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
474 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
475 PETSC_EXTERN PetscErrorCode MatPropagateSymmetryOptions(Mat,Mat);
476 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
477 
478 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
479 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
480 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
481 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
482 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
483 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
484 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
485 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArrayRead(Mat,const PetscScalar *[]);
486 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
487 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArrayRead(Mat,const PetscScalar *[]);
488 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
489 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
490 PETSC_EXTERN PetscErrorCode MatSeqAIJSetType(Mat,MatType);
491 PETSC_EXTERN PetscErrorCode MatSeqAIJRegister(const char[],PetscErrorCode (*)(Mat,MatType,MatReuse,Mat *));
492 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
493 PETSC_EXTERN PetscErrorCode MatSeqBAIJGetArray(Mat,PetscScalar *[]);
494 PETSC_EXTERN PetscErrorCode MatSeqBAIJRestoreArray(Mat,PetscScalar *[]);
495 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
496 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
497 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
498 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
499 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
500 PETSC_EXTERN PetscErrorCode MatDenseReplaceArray(Mat,const PetscScalar[]);
501 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
502 PETSC_EXTERN PetscErrorCode MatDenseGetArrayRead(Mat,const PetscScalar *[]);
503 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayRead(Mat,const PetscScalar *[]);
504 PETSC_EXTERN PetscErrorCode MatDenseGetArrayWrite(Mat,PetscScalar *[]);
505 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayWrite(Mat,PetscScalar *[]);
506 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
507 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
508 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
509 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
510 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
511 PETSC_EXTERN PetscErrorCode MatSetVariableBlockSizes(Mat,PetscInt,PetscInt*);
512 PETSC_EXTERN PetscErrorCode MatGetVariableBlockSizes(Mat,PetscInt*,const PetscInt**);
513 
514 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat,PetscInt,PetscScalar*[]);
515 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat,PetscScalar*[]);
516 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat,PetscInt,Vec*);
517 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat,PetscInt,Vec*);
518 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat,PetscInt,Vec*);
519 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat,PetscInt,Vec*);
520 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat,PetscInt,Vec*);
521 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat,PetscInt,Vec*);
522 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat,PetscInt,PetscInt,Mat*);
523 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat,Mat*);
524 
525 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
526 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
527 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
528 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
529 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
530 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
531 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
532 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
533 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
534 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
535 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
536 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
537 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
538 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat,Mat,Mat);
539 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
540 
541 /*E
542     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
543   its numerical values copied over or just its nonzero structure.
544 
545     Level: beginner
546 
547    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
548 
549 $   MAT_DO_NOT_COPY_VALUES    - Create a matrix using the same nonzero pattern as the original matrix,
550 $                               with zeros for the numerical values.
551 $   MAT_COPY_VALUES           - Create a matrix with the same nonzero pattern as the original matrix
552 $                               and with the same numerical values.
553 $   MAT_SHARE_NONZERO_PATTERN - Create a matrix that shares the nonzero structure with the previous matrix
554 $                               and does not copy it, using zeros for the numerical values. The parent and
555 $                               child matrices will share their index (i and j) arrays, and you cannot
556 $                               insert new nonzero entries into either matrix.
557 
558 Notes:
559     Many matrix types (including SeqAIJ) do not support the MAT_SHARE_NONZERO_PATTERN optimization; in
560 this case the behavior is as if MAT_DO_NOT_COPY_VALUES has been specified.
561 
562 .seealso: MatDuplicate()
563 E*/
564 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
565 
566 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
567 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
568 
569 
570 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
571 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
572 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
573 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
574 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
575 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
576 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
577 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
578 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
579 
580 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
581 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
582 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
583 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
584 
585 /*S
586      MatInfo - Context of matrix information, used with MatGetInfo()
587 
588    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
589 
590    Level: intermediate
591 
592 .seealso:  MatGetInfo(), MatInfoType
593 S*/
594 typedef struct {
595   PetscLogDouble block_size;                         /* block size */
596   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
597   PetscLogDouble memory;                             /* memory allocated */
598   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
599   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
600   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
601   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
602 } MatInfo;
603 
604 /*E
605     MatInfoType - Indicates if you want information about the local part of the matrix,
606      the entire parallel matrix or the maximum over all the local parts.
607 
608     Level: beginner
609 
610    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
611 
612 .seealso: MatGetInfo(), MatInfo
613 E*/
614 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
615 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
616 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
617 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
618 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
619 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
620 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
621 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
622 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
623 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
624 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
625 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
626 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
627 
628 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
629 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
630 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
631 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
632 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
633 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
634 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
635 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
636 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
637 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
638 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat,PetscInt,PetscBool*);
639 
640 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
641 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
642 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
643 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
644 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
645 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
646 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
647 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
648 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
649 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
650 
651 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
652 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
653 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
654 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
655 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
656 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
657 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
658 
659 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
660 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);}
661 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
662 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);}
663 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
664 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
665 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
666 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);}
667 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
668 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
669 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
670 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
671 
672 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
673 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
674 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
675 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
676 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
677 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat,MatReuse,IS*,Mat*);
678 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
679 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
680 
681 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
682 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
683 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
684 
685 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
686 
687 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
688 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
689 
690 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
691 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
692 
693 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
694 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
695 
696 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
697 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
698 
699 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
700 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
701 
702 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
703 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
704 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
705 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat,PetscLayout,PetscLayout);
706 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
707 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
708 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
709 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
710 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
711 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
712 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
713 
714 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
715 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
716 
717 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
718 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
719 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
720 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat,Mat,Mat*);
721 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat,Mat,Mat,Mat*);
722 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat,Mat,Mat*);
723 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
724 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);}
725 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
726 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
727 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
728 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
729 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
730 
731 /*MC
732    MatSetValue - Set a single entry into a matrix.
733 
734    Not collective
735 
736    Synopsis:
737      #include <petscmat.h>
738      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
739 
740    Input Parameters:
741 +  m - the matrix
742 .  row - the row location of the entry
743 .  col - the column location of the entry
744 .  value - the value to insert
745 -  mode - either INSERT_VALUES or ADD_VALUES
746 
747    Notes:
748    For efficiency one should use MatSetValues() and set several or many
749    values simultaneously if possible.
750 
751    Level: beginner
752 
753 .seealso: MatSetValues(), MatSetValueLocal()
754 M*/
755 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
756 
757 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
758 
759 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
760 
761 /*MC
762    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
763        row in a matrix providing the data that one can use to correctly preallocate the matrix.
764 
765    Synopsis:
766    #include <petscmat.h>
767    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
768 
769    Collective
770 
771    Input Parameters:
772 +  comm - the communicator that will share the eventually allocated matrix
773 .  nrows - the number of LOCAL rows in the matrix
774 -  ncols - the number of LOCAL columns in the matrix
775 
776    Output Parameters:
777 +  dnz - the array that will be passed to the matrix preallocation routines
778 -  onz - the other array passed to the matrix preallocation routines
779 
780    Level: intermediate
781 
782    Notes:
783     See Users-Manual: ch_performance for more details.
784 
785    Do not malloc or free dnz and onz, that is handled internally by these routines
786 
787    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
788 
789 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
790           MatPreallocateSymmetricSetLocalBlock()
791 M*/
792 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
793 do { \
794   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ncols = (ncols),__rstart,__start,__end; \
795   _4_ierr = PetscCalloc2((size_t)__nrows,&dnz,(size_t)__nrows,&onz);CHKERRQ(_4_ierr); \
796   __start = 0; __end = __start;                                         \
797   _4_ierr = MPI_Scan(&__ncols,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRMPI(_4_ierr); __start = __end - __ncols;\
798   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRMPI(_4_ierr); __rstart = __rstart - __nrows; \
799   do { } while (0)
800 
801 /*MC
802    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
803        inserted using a local number of the rows and columns
804 
805    Synopsis:
806    #include <petscmat.h>
807    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
808 
809    Not Collective
810 
811    Input Parameters:
812 +  map - the row mapping from local numbering to global numbering
813 .  nrows - the number of rows indicated
814 .  rows - the indices of the rows
815 .  cmap - the column mapping from local to global numbering
816 .  ncols - the number of columns in the matrix
817 .  cols - the columns indicated
818 .  dnz - the array that will be passed to the matrix preallocation routines
819 -  onz - the other array passed to the matrix preallocation routines
820 
821    Level: intermediate
822 
823    Notes:
824     See Users-Manual: ch_performance for more details.
825 
826    Do not malloc or free dnz and onz, that is handled internally by these routines
827 
828 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
829           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
830 M*/
831 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
832 do {\
833   PetscInt __l;\
834   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
835   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
836   for (__l=0;__l<nrows;__l++) {\
837     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
838   }\
839  } while (0)
840 
841 /*MC
842    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
843        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
844 
845    Synopsis:
846    #include <petscmat.h>
847    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
848 
849    Not Collective
850 
851    Input Parameters:
852 +  map - the row mapping from local numbering to global numbering
853 .  nrows - the number of rows indicated
854 .  rows - the indices of the rows (these values are mapped to the global values)
855 .  cmap - the column mapping from local to global numbering
856 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
857 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
858 .  dnz - the array that will be passed to the matrix preallocation routines
859 -  onz - the other array passed to the matrix preallocation routines
860 
861    Level: intermediate
862 
863    Notes:
864     See Users-Manual: ch_performance for more details.
865 
866    Do not malloc or free dnz and onz, that is handled internally by these routines
867 
868 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
869           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
870 M*/
871 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
872 do {\
873   PetscInt __l;\
874   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
875   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
876   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
877   for (__l=0;__l<nrows;__l++) {\
878     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
879   }\
880  } while (0)
881 
882 /*MC
883    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
884        inserted using a local number of the rows and columns
885 
886    Synopsis:
887    #include <petscmat.h>
888    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
889 
890    Not Collective
891 
892    Input Parameters:
893 +  map - the row mapping from local numbering to global numbering
894 .  nrows - the number of rows indicated
895 .  rows - the indices of the rows
896 .  cmap - the column mapping from local to global numbering
897 .  ncols - the number of columns in the matrix
898 .  cols - the columns indicated
899 .  dnz - the array that will be passed to the matrix preallocation routines
900 -  onz - the other array passed to the matrix preallocation routines
901 
902    Level: intermediate
903 
904    Notes:
905     See Users-Manual: ch_performance for more details.
906 
907    Do not malloc or free dnz and onz, that is handled internally by these routines
908 
909 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
910           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
911 M*/
912 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
913 do {\
914   PetscInt __l;\
915   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
916   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
917   for (__l=0;__l<nrows;__l++) {\
918     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
919   }\
920 } while (0)
921 
922 /*MC
923    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
924        inserted using a local number of the rows and columns
925 
926    Synopsis:
927    #include <petscmat.h>
928    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
929 
930    Not Collective
931 
932    Input Parameters:
933 +  map - the mapping between local numbering and global numbering
934 .  nrows - the number of rows indicated
935 .  rows - the indices of the rows
936 .  ncols - the number of columns in the matrix
937 .  cols - the columns indicated
938 .  dnz - the array that will be passed to the matrix preallocation routines
939 -  onz - the other array passed to the matrix preallocation routines
940 
941    Level: intermediate
942 
943    Notes:
944     See Users-Manual: ch_performance for more details.
945 
946    Do not malloc or free dnz and onz that is handled internally by these routines
947 
948 .seealso: MatPreallocateFinalize(), MatPreallocateSet()
949           MatPreallocateInitialize(),  MatPreallocateSetLocal()
950 M*/
951 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
952 do {\
953   PetscInt __l;\
954   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
955   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
956   for (__l=0;__l<nrows;__l++) {\
957     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
958   }\
959 } while (0)
960 
961 /*MC
962    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
963        inserted using a local number of the rows and columns
964 
965    Synopsis:
966    #include <petscmat.h>
967    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
968 
969    Not Collective
970 
971    Input Parameters:
972 +  row - the row
973 .  ncols - the number of columns in the matrix
974 -  cols - the columns indicated
975 
976    Output Parameters:
977 +  dnz - the array that will be passed to the matrix preallocation routines
978 -  onz - the other array passed to the matrix preallocation routines
979 
980    Level: intermediate
981 
982    Notes:
983     See Users-Manual: ch_performance for more details.
984 
985    Do not malloc or free dnz and onz that is handled internally by these routines
986 
987    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
988 
989 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
990           MatPreallocateInitialize(), MatPreallocateSetLocal()
991 M*/
992 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
993 do { PetscInt __i; \
994   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);\
995   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);\
996   for (__i=0; __i<nc; __i++) {\
997     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
998     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
999   }\
1000 } while (0)
1001 
1002 /*MC
1003    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1004        inserted using a local number of the rows and columns
1005 
1006    Synopsis:
1007    #include <petscmat.h>
1008    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1009 
1010    Not Collective
1011 
1012    Input Parameters:
1013 +  nrows - the number of rows indicated
1014 .  rows - the indices of the rows
1015 .  ncols - the number of columns in the matrix
1016 .  cols - the columns indicated
1017 .  dnz - the array that will be passed to the matrix preallocation routines
1018 -  onz - the other array passed to the matrix preallocation routines
1019 
1020    Level: intermediate
1021 
1022    Notes:
1023     See Users-Manual: ch_performance for more details.
1024 
1025    Do not malloc or free dnz and onz that is handled internally by these routines
1026 
1027    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
1028 
1029 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
1030           MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
1031 M*/
1032 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
1033 do { PetscInt __i; \
1034   for (__i=0; __i<nc; __i++) {\
1035     if (cols[__i] >= __end) onz[row - __rstart]++; \
1036     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
1037   }\
1038 } while (0)
1039 
1040 /*MC
1041    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1042 
1043    Synopsis:
1044    #include <petscmat.h>
1045    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1046 
1047    Not Collective
1048 
1049    Input Parameters:
1050 +  A - matrix
1051 .  row - row where values exist (must be local to this process)
1052 .  ncols - number of columns
1053 .  cols - columns with nonzeros
1054 .  dnz - the array that will be passed to the matrix preallocation routines
1055 -  onz - the other array passed to the matrix preallocation routines
1056 
1057    Level: intermediate
1058 
1059    Notes:
1060     See Users-Manual: ch_performance for more details.
1061 
1062    Do not malloc or free dnz and onz that is handled internally by these routines
1063 
1064    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
1065 
1066 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1067           MatPreallocateSymmetricSetLocalBlock()
1068 M*/
1069 #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)
1070 
1071 
1072 /*MC
1073    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
1074        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1075 
1076    Synopsis:
1077    #include <petscmat.h>
1078    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
1079 
1080    Collective
1081 
1082    Input Parameters:
1083 +  dnz - the array that was be passed to the matrix preallocation routines
1084 -  onz - the other array passed to the matrix preallocation routines
1085 
1086    Level: intermediate
1087 
1088    Notes:
1089     See Users-Manual: ch_performance for more details.
1090 
1091    Do not malloc or free dnz and onz that is handled internally by these routines
1092 
1093    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
1094 
1095 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1096           MatPreallocateSymmetricSetLocalBlock()
1097 M*/
1098 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);} while (0)
1099 
1100 /* Routines unique to particular data structures */
1101 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
1102 
1103 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
1104 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1105 
1106 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1107 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1108 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1109 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1110 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1111 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
1112 
1113 #define MAT_SKIP_ALLOCATION -4
1114 
1115 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1116 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1117 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1118 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat,PetscInt);
1119 
1120 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1121 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1122 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1123 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1124 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1125 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1126 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1127 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1128 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat,Mat*);
1129 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1130 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1131 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1132 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1133 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1134 
1135 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat,PetscInt*);
1136 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat,PetscInt);
1137 PETSC_DEPRECATED_FUNCTION("Use MatDenseSetLDA() (since version 3.14)") PETSC_STATIC_INLINE PetscErrorCode MatSeqDenseSetLDA(Mat A,PetscInt lda) {return MatDenseSetLDA(A,lda);}
1138 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1139 
1140 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1141 
1142 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1143 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1144 
1145 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1146 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1147 /*
1148   These routines are not usually accessed directly, rather solving is
1149   done through the KSP and PC interfaces.
1150 */
1151 
1152 /*J
1153     MatOrderingType - String with the name of a PETSc matrix ordering
1154 
1155    Level: beginner
1156 
1157    Notes:
1158       If MATORDERINGEXTERNAL is used then PETSc does not compute an ordering and utilizes one built into the factorization package
1159 
1160 .seealso: MatGetOrdering()
1161 J*/
1162 typedef const char* MatOrderingType;
1163 #define MATORDERINGNATURAL        "natural"
1164 #define MATORDERINGND             "nd"
1165 #define MATORDERING1WD            "1wd"
1166 #define MATORDERINGRCM            "rcm"
1167 #define MATORDERINGQMD            "qmd"
1168 #define MATORDERINGROWLENGTH      "rowlength"
1169 #define MATORDERINGWBM            "wbm"
1170 #define MATORDERINGSPECTRAL       "spectral"
1171 #define MATORDERINGAMD            "amd"            /* only works if UMFPACK is installed with PETSc */
1172 #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 */
1173 #define MATORDERINGEXTERNAL       "external"       /* uses an ordering type internal to the factorization package */
1174 
1175 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1176 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1177 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1178 PETSC_EXTERN PetscFunctionList MatOrderingList;
1179 
1180 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1181 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1182 
1183 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat,MatFactorType,MatOrderingType*);
1184 
1185 /*S
1186     MatFactorShiftType - Numeric Shift for factorizations
1187 
1188    Level: beginner
1189 
1190 .seealso: MatGetFactor()
1191 S*/
1192 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1193 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1194 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1195 
1196 /*S
1197     MatFactorError - indicates what type of error was generated in a matrix factorization
1198 
1199     Level: beginner
1200 
1201     Developer Notes:
1202     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1203 
1204 .seealso: MatGetFactor()
1205 S*/
1206 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1207 
1208 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1209 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1210 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1211 
1212 /*S
1213    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1214 
1215    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1216 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1217 
1218    Notes:
1219     These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1220 
1221       You can use MatFactorInfoInitialize() to set default values.
1222 
1223    Level: developer
1224 
1225 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1226           MatFactorInfoInitialize()
1227 
1228 S*/
1229 typedef struct {
1230   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1231   PetscReal     usedt;
1232   PetscReal     dt;             /* drop tolerance */
1233   PetscReal     dtcol;          /* tolerance for pivoting */
1234   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1235   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1236   PetscReal     levels;         /* ICC/ILU(levels) */
1237   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1238                                    factorization may be faster if do not pivot */
1239   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1240   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1241   PetscReal     shiftamount;     /* how large the shift is */
1242 } MatFactorInfo;
1243 
1244 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1245 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1246 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1247 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1248 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1249 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1250 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1251 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1252 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1253 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1254 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1255 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat,IS,const MatFactorInfo*);
1256 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1257 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat,Mat,const MatFactorInfo*);
1258 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1259 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1260 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1261 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1262 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1263 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1264 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1265 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1266 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1267 
1268 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1269 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1270 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1271 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1272 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1273 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1274 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1275 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1276 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1277 
1278 /*E
1279     MatSORType - What type of (S)SOR to perform
1280 
1281     Level: beginner
1282 
1283    May be bitwise ORd together
1284 
1285    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1286 
1287    MatSORType may be bitwise ORd together, so do not change the numbers
1288 
1289 .seealso: MatSOR()
1290 E*/
1291 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1292               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1293               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1294               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1295 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1296 
1297 /*
1298     These routines are for efficiently computing Jacobians via finite differences.
1299 */
1300 
1301 /*S
1302      MatColoring - Object for managing the coloring of matrices.
1303 
1304    Level: beginner
1305 
1306     Notes:
1307        Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the MatColoring object or from the mesh from which the
1308        matrix comes from via DMCreateColoring(). In general using the mesh produces a more optimal coloring (fewer colors).
1309 
1310        Once a coloring is available MatFDColoringCreate() creates an object that can be used to efficiently compute Jacobians using that coloring. This
1311        same object can also be used to efficiently convert data created by Automatic Differentation tools to PETSc sparse matrices.
1312 
1313 .seealso:  MatFDColoringCreate(), MatColoringWeightType, ISColoring, MatFDColoring, DMCreateColoring(), MatColoringCreate(), MatOrdering, MatPartitioning
1314 S*/
1315 typedef struct _p_MatColoring* MatColoring;
1316 
1317 /*J
1318     MatColoringType - String with the name of a PETSc matrix coloring
1319 
1320    Level: beginner
1321 
1322 .seealso: MatColoringSetType(), MatColoring
1323 J*/
1324 typedef const  char*           MatColoringType;
1325 #define MATCOLORINGJP      "jp"
1326 #define MATCOLORINGPOWER   "power"
1327 #define MATCOLORINGNATURAL "natural"
1328 #define MATCOLORINGSL      "sl"
1329 #define MATCOLORINGLF      "lf"
1330 #define MATCOLORINGID      "id"
1331 #define MATCOLORINGGREEDY  "greedy"
1332 
1333 /*E
1334    MatColoringWeightType - Type of weight scheme
1335 
1336     Not Collective
1337 
1338 +   MAT_COLORING_RANDOM  - Random weights
1339 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1340 -   MAT_COLORING_LF      - Last-first weighting.
1341 
1342     Level: intermediate
1343 
1344    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1345 
1346 .seealso: MatColoring, MatColoringCreate()
1347 E*/
1348 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1349 
1350 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1351 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1352 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1353 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1354 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1355 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1356 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1357 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1358 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1359 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1360 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1361 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1362 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1363 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1364 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1365 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1366 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring,ISColoring);
1367 PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") PETSC_STATIC_INLINE PetscErrorCode MatColoringTestValid(MatColoring matcoloring,ISColoring iscoloring) {return MatColoringTest(matcoloring,iscoloring);}
1368 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat,ISColoring);
1369 
1370 /*S
1371      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1372         and coloring
1373 
1374    Level: beginner
1375 
1376    Notes:
1377       This object is creating utilizing a coloring provided by the MatColoring object or DMCreateColoring()
1378 
1379 .seealso:  MatFDColoringCreate(), MatColoring, DMCreateColoring()
1380 S*/
1381 typedef struct _p_MatFDColoring* MatFDColoring;
1382 
1383 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1384 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1385 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1386 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1387 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1388 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1389 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1390 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1391 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1392 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1393 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1394 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1395 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat,MatFDColoring,const PetscScalar*);
1396 
1397 /*S
1398      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1399 
1400    Level: beginner
1401 
1402 .seealso:  MatTransposeColoringCreate()
1403 S*/
1404 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1405 
1406 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1407 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1408 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1409 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1410 
1411 /*
1412     These routines are for partitioning matrices: currently used only
1413   for adjacency matrix, MatCreateMPIAdj().
1414 */
1415 
1416 /*S
1417      MatPartitioning - Object for managing the partitioning of a matrix or graph
1418 
1419    Level: beginner
1420 
1421    Notes:
1422      There is also a PetscPartitioner object that provides the same functionality. It can utilize the MatPartitioning operations
1423      via PetscPartitionerSetType(p,PETSCPARTITIONERMATPARTITIONING)
1424 
1425    Developers Note:
1426      It is an extra maintainance and documentation cost to have two objects with the same functionality.
1427 
1428 .seealso:  MatPartitioningCreate(), MatPartitioningType, MatColoring, MatGetOrdering()
1429 S*/
1430 typedef struct _p_MatPartitioning* MatPartitioning;
1431 
1432 /*J
1433     MatPartitioningType - String with the name of a PETSc matrix partitioning
1434 
1435    Level: beginner
1436 dm
1437 .seealso: MatPartitioningCreate(), MatPartitioning
1438 J*/
1439 typedef const char* MatPartitioningType;
1440 #define MATPARTITIONINGCURRENT  "current"
1441 #define MATPARTITIONINGAVERAGE   "average"
1442 #define MATPARTITIONINGSQUARE   "square"
1443 #define MATPARTITIONINGPARMETIS "parmetis"
1444 #define MATPARTITIONINGCHACO    "chaco"
1445 #define MATPARTITIONINGPARTY    "party"
1446 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1447 #define MATPARTITIONINGHIERARCH  "hierarch"
1448 
1449 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1450 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1451 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1452 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1453 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1454 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1455 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning,PetscBool);
1456 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning,PetscBool*);
1457 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1458 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning,IS*);
1459 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning,IS);
1460 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning,IS*);
1461 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1462 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1463 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1464 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning,PetscObject,const char[]);
1465 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1466 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1467 
1468 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1469 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1470 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1471 
1472 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1473 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1474 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1475 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1476 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1477 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1478 
1479 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1480 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1481 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1482 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1483 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1484 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1485 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1486 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1487 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1488 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1489 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1490 
1491 #define MP_PARTY_OPT "opt"
1492 #define MP_PARTY_LIN "lin"
1493 #define MP_PARTY_SCA "sca"
1494 #define MP_PARTY_RAN "ran"
1495 #define MP_PARTY_GBF "gbf"
1496 #define MP_PARTY_GCF "gcf"
1497 #define MP_PARTY_BUB "bub"
1498 #define MP_PARTY_DEF "def"
1499 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1500 #define MP_PARTY_HELPFUL_SETS "hs"
1501 #define MP_PARTY_KERNIGHAN_LIN "kl"
1502 #define MP_PARTY_NONE "no"
1503 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1504 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1505 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1506 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1507 
1508 typedef enum { MP_PTSCOTCH_DEFAULT,MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1509 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1510 
1511 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1512 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1513 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1514 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1515 
1516 /*
1517  * hierarchical partitioning
1518  */
1519 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1520 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1521 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1522 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1523 
1524 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1525 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1526 
1527 /*
1528     If you add entries here you must also add them to include/petscmat.h
1529     and src/mat/f90-mod/petscmat.h
1530 */
1531 typedef enum { MATOP_SET_VALUES=0,
1532                MATOP_GET_ROW=1,
1533                MATOP_RESTORE_ROW=2,
1534                MATOP_MULT=3,
1535                MATOP_MULT_ADD=4,
1536                MATOP_MULT_TRANSPOSE=5,
1537                MATOP_MULT_TRANSPOSE_ADD=6,
1538                MATOP_SOLVE=7,
1539                MATOP_SOLVE_ADD=8,
1540                MATOP_SOLVE_TRANSPOSE=9,
1541                MATOP_SOLVE_TRANSPOSE_ADD=10,
1542                MATOP_LUFACTOR=11,
1543                MATOP_CHOLESKYFACTOR=12,
1544                MATOP_SOR=13,
1545                MATOP_TRANSPOSE=14,
1546                MATOP_GETINFO=15,
1547                MATOP_EQUAL=16,
1548                MATOP_GET_DIAGONAL=17,
1549                MATOP_DIAGONAL_SCALE=18,
1550                MATOP_NORM=19,
1551                MATOP_ASSEMBLY_BEGIN=20,
1552                MATOP_ASSEMBLY_END=21,
1553                MATOP_SET_OPTION=22,
1554                MATOP_ZERO_ENTRIES=23,
1555                MATOP_ZERO_ROWS=24,
1556                MATOP_LUFACTOR_SYMBOLIC=25,
1557                MATOP_LUFACTOR_NUMERIC=26,
1558                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1559                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1560                MATOP_SETUP_PREALLOCATION=29,
1561                MATOP_ILUFACTOR_SYMBOLIC=30,
1562                MATOP_ICCFACTOR_SYMBOLIC=31,
1563                MATOP_GET_DIAGONAL_BLOCK=32,
1564                MATOP_FREE_INTER_STRUCT=33,
1565                MATOP_DUPLICATE=34,
1566                MATOP_FORWARD_SOLVE=35,
1567                MATOP_BACKWARD_SOLVE=36,
1568                MATOP_ILUFACTOR=37,
1569                MATOP_ICCFACTOR=38,
1570                MATOP_AXPY=39,
1571                MATOP_CREATE_SUBMATRICES=40,
1572                MATOP_INCREASE_OVERLAP=41,
1573                MATOP_GET_VALUES=42,
1574                MATOP_COPY=43,
1575                MATOP_GET_ROW_MAX=44,
1576                MATOP_SCALE=45,
1577                MATOP_SHIFT=46,
1578                MATOP_DIAGONAL_SET=47,
1579                MATOP_ZERO_ROWS_COLUMNS=48,
1580                MATOP_SET_RANDOM=49,
1581                MATOP_GET_ROW_IJ=50,
1582                MATOP_RESTORE_ROW_IJ=51,
1583                MATOP_GET_COLUMN_IJ=52,
1584                MATOP_RESTORE_COLUMN_IJ=53,
1585                MATOP_FDCOLORING_CREATE=54,
1586                MATOP_COLORING_PATCH=55,
1587                MATOP_SET_UNFACTORED=56,
1588                MATOP_PERMUTE=57,
1589                MATOP_SET_VALUES_BLOCKED=58,
1590                MATOP_CREATE_SUBMATRIX=59,
1591                MATOP_DESTROY=60,
1592                MATOP_VIEW=61,
1593                MATOP_CONVERT_FROM=62,
1594                MATOP_MATMAT_MULT=63,
1595                MATOP_MATMAT_MULT_SYMBOLIC=64,
1596                MATOP_MATMAT_MULT_NUMERIC=65,
1597                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1598                MATOP_SET_VALUES_LOCAL=67,
1599                MATOP_ZERO_ROWS_LOCAL=68,
1600                MATOP_GET_ROW_MAX_ABS=69,
1601                MATOP_GET_ROW_MIN_ABS=70,
1602                MATOP_CONVERT=71,
1603                MATOP_SET_COLORING=72,
1604                /* MATOP_PLACEHOLDER_73=73, */
1605                MATOP_SET_VALUES_ADIFOR=74,
1606                MATOP_FD_COLORING_APPLY=75,
1607                MATOP_SET_FROM_OPTIONS=76,
1608                MATOP_MULT_CONSTRAINED=77,
1609                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1610                MATOP_FIND_ZERO_DIAGONALS=79,
1611                MATOP_MULT_MULTIPLE=80,
1612                MATOP_SOLVE_MULTIPLE=81,
1613                MATOP_GET_INERTIA=82,
1614                MATOP_LOAD=83,
1615                MATOP_IS_SYMMETRIC=84,
1616                MATOP_IS_HERMITIAN=85,
1617                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1618                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1619                MATOP_CREATE_VECS=88,
1620                MATOP_MAT_MULT=89,
1621                MATOP_MAT_MULT_SYMBOLIC=90,
1622                MATOP_MAT_MULT_NUMERIC=91,
1623                MATOP_PTAP=92,
1624                MATOP_PTAP_SYMBOLIC=93,
1625                MATOP_PTAP_NUMERIC=94,
1626                MATOP_MAT_TRANSPOSE_MULT=95,
1627                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1628                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1629                /* MATOP_PLACEHOLDER_98=98, */
1630                MATOP_PRODUCTSETFROMOPTIONS=99,
1631                MATOP_PRODUCTSYMBOLIC=100,
1632                MATOP_PRODUCTNUMERIC=101,
1633                MATOP_CONJUGATE=102,
1634                /* MATOP_PLACEHOLDER_103=103, */
1635                MATOP_SET_VALUES_ROW=104,
1636                MATOP_REAL_PART=105,
1637                MATOP_IMAGINARY_PART=106,
1638                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1639                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1640                MATOP_MAT_SOLVE=109,
1641                MATOP_MAT_SOLVE_TRANSPOSE=110,
1642                MATOP_GET_ROW_MIN=111,
1643                MATOP_GET_COLUMN_VECTOR=112,
1644                MATOP_MISSING_DIAGONAL=113,
1645                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1646                MATOP_CREATE=115,
1647                MATOP_GET_GHOSTS=116,
1648                MATOP_GET_LOCAL_SUB_MATRIX=117,
1649                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1650                MATOP_MULT_DIAGONAL_BLOCK=119,
1651                MATOP_HERMITIAN_TRANSPOSE=120,
1652                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1653                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1654                MATOP_GET_MULTI_PROC_BLOCK=123,
1655                MATOP_FIND_NONZERO_ROWS=124,
1656                MATOP_GET_COLUMN_NORMS=125,
1657                MATOP_INVERT_BLOCK_DIAGONAL=126,
1658                /* MATOP_PLACEHOLDER_127=127, */
1659                MATOP_CREATE_SUB_MATRICES_MPI=128,
1660                MATOP_SET_VALUES_BATCH=129,
1661                MATOP_TRANSPOSE_MAT_MULT=130,
1662                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1663                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1664                MATOP_TRANSPOSE_COLORING_CREAT=133,
1665                MATOP_TRANS_COLORING_APPLY_SPT=134,
1666                MATOP_TRANS_COLORING_APPLY_DEN=135,
1667                MATOP_RART=136,
1668                MATOP_RART_SYMBOLIC=137,
1669                MATOP_RART_NUMERIC=138,
1670                MATOP_SET_BLOCK_SIZES=139,
1671                MATOP_AYPX=140,
1672                MATOP_RESIDUAL=141,
1673                MATOP_FDCOLORING_SETUP=142,
1674                MATOP_MPICONCATENATESEQ=144,
1675                MATOP_DESTROYSUBMATRICES=145,
1676                MATOP_TRANSPOSE_SOLVE=146,
1677                MATOP_GET_VALUES_LOCAL=147
1678              } MatOperation;
1679 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat,MatOperation,void(*)(void));
1680 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat,MatOperation,void(**)(void));
1681 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool*);
1682 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat,PetscBool*);
1683 PETSC_DEPRECATED_FUNCTION("Use MatProductClear() (since version 3.14)") PETSC_STATIC_INLINE PetscErrorCode MatFreeIntermediateDataStructures(Mat A) {return MatProductClear(A);}
1684 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1685 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1686 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1687 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat,VecType);
1688 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1689 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1690 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1691 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat,MatProductType,PetscErrorCode (*)(Mat,Mat,Mat,void**),PetscErrorCode (*)(Mat,Mat,Mat,void*),PetscErrorCode (*)(void*),MatType,MatType);
1692 PETSC_EXTERN PetscErrorCode MatIsShell(Mat,PetscBool*);
1693 
1694 /*
1695    Codes for matrices stored on disk. By default they are
1696    stored in a universal format. By changing the format with
1697    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1698    be stored in a way natural for the matrix, for example dense matrices
1699    would be stored as dense. Matrices stored this way may only be
1700    read into matrices of the same type.
1701 */
1702 #define MATRIX_BINARY_FORMAT_DENSE -1
1703 
1704 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1705 
1706 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat,MatType);
1707 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1708 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat,PetscBool);
1709 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat,PetscBool);
1710 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1711 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1712 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1713 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1714 
1715 /*S
1716      MatNullSpace - Object that removes a null space from a vector, i.e.
1717          orthogonalizes the vector to a subsapce
1718 
1719    Level: advanced
1720 
1721   Users manual sections:
1722 .   sec_singular
1723 
1724 .seealso:  MatNullSpaceCreate()
1725 S*/
1726 typedef struct _p_MatNullSpace* MatNullSpace;
1727 
1728 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1729 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1730 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1731 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1732 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1733 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1734 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1735 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1736 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1737 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1738 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1739 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1740 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1741 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1742 
1743 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1744 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1745 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1746 
1747 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1748 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1749 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1750 
1751 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat,MatType,Mat*);
1752 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat,MatType,Mat*);
1753 
1754 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") PETSC_STATIC_INLINE PetscErrorCode MatComputeExplicitOperator(Mat A,Mat* B) { return MatComputeOperator(A,NULL,B); }
1755 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") PETSC_STATIC_INLINE PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A,Mat* B) { return MatComputeOperatorTranspose(A,NULL,B); }
1756 
1757 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat,PetscInt,PetscInt,const PetscScalar[],const PetscScalar[],Mat*);
1758 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat,Mat*);
1759 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat,PetscInt*,PetscInt*,PetscScalar**);
1760 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1761 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat,PetscScalar**);
1762 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat,const PetscScalar**);
1763 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat,PetscInt*,PetscInt*,PetscScalar**);
1764 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1765 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat,PetscScalar**);
1766 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat,const PetscScalar**);
1767 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat,Mat);
1768 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat,PetscInt,PetscInt,const PetscScalar[]);
1769 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat,PetscInt,PetscInt,const PetscScalar[]);
1770 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat,PetscBool*);
1771 
1772 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1773 
1774 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1775 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1776 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1777 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1778 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1779 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1780 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1781 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1782 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1783 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1784 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1785 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1786 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1787 
1788 /*S
1789     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1790               Jacobian vector products
1791 
1792     Notes:
1793     MATMFFD is a specific MatType which uses the MatMFFD data structure
1794 
1795            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1796 
1797     Level: developer
1798 
1799 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1800 S*/
1801 typedef struct _p_MatMFFD* MatMFFD;
1802 
1803 /*J
1804     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1805 
1806    Level: beginner
1807 
1808 .seealso: MatMFFDSetType(), MatMFFDRegister()
1809 J*/
1810 typedef const char* MatMFFDType;
1811 #define MATMFFD_DS  "ds"
1812 #define MATMFFD_WP  "wp"
1813 
1814 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1815 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1816 
1817 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1818 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool);
1819 
1820 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1821 
1822 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1823 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1824 
1825 #ifdef PETSC_HAVE_HARA
1826 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatHaraKernel)(PetscInt,PetscReal[],PetscReal[],void*);
1827 PETSC_EXTERN PetscErrorCode MatCreateHaraFromKernel(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscReal[],MatHaraKernel,void*,PetscReal,PetscInt,PetscInt,Mat*);
1828 PETSC_EXTERN PetscErrorCode MatCreateHaraFromMat(Mat,PetscInt,const PetscReal[],PetscReal,PetscInt,PetscInt,PetscInt,PetscReal,Mat*);
1829 PETSC_EXTERN PetscErrorCode MatHaraSetSamplingMat(Mat,Mat,PetscInt,PetscReal);
1830 #endif
1831 
1832 #ifdef PETSC_HAVE_HTOOL
1833 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatHtoolKernel)(PetscInt,PetscInt,PetscInt,void*);
1834 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscReal[],const PetscReal[],MatHtoolKernel,void*,Mat*);
1835 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat,MatHtoolKernel,void*);
1836 /*E
1837      MatHtoolCompressorType - Indicates the type of compressor used by a MATHTOOL
1838 
1839    Level: beginner
1840 
1841     Values:
1842 +   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA (default) - symmetric partial adaptive cross approximation
1843 .   MAT_HTOOL_COMPRESSOR_FULL_ACA - full adaptive cross approximation
1844 -   MAT_HTOOL_COMPRESSOR_SVD - singular value decomposition
1845 
1846 .seealso: MatCreateHtoolFromKernel(), MATHTOOL
1847 E*/
1848 typedef enum { MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA, MAT_HTOOL_COMPRESSOR_FULL_ACA, MAT_HTOOL_COMPRESSOR_SVD } MatHtoolCompressorType;
1849 #endif
1850 
1851 /*
1852    PETSc interface to MUMPS
1853 */
1854 #ifdef PETSC_HAVE_MUMPS
1855 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1856 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1857 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1858 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1859 
1860 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1861 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1862 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1863 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1864 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat,Mat);
1865 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat,Mat);
1866 #endif
1867 
1868 /*
1869    PETSc interface to Mkl_Pardiso
1870 */
1871 #ifdef PETSC_HAVE_MKL_PARDISO
1872 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1873 #endif
1874 
1875 /*
1876    PETSc interface to Mkl_CPardiso
1877 */
1878 #ifdef PETSC_HAVE_MKL_CPARDISO
1879 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1880 #endif
1881 
1882 /*
1883    PETSc interface to SUPERLU
1884 */
1885 #ifdef PETSC_HAVE_SUPERLU
1886 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1887 #endif
1888 
1889 /*
1890    PETSc interface to SUPERLU_DIST
1891 */
1892 #ifdef PETSC_HAVE_SUPERLU_DIST
1893 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1894 #endif
1895 
1896 /*
1897    PETSc interface to STRUMPACK
1898 */
1899 #ifdef PETSC_HAVE_STRUMPACK
1900 /*E
1901     MatSTRUMPACKReordering - sparsity reducing ordering to be used in STRUMPACK
1902 
1903     Level: intermediate
1904 E*/
1905 typedef enum {MAT_STRUMPACK_NATURAL=0,
1906               MAT_STRUMPACK_METIS=1,
1907               MAT_STRUMPACK_PARMETIS=2,
1908               MAT_STRUMPACK_SCOTCH=3,
1909               MAT_STRUMPACK_PTSCOTCH=4,
1910               MAT_STRUMPACK_RCM=5} MatSTRUMPACKReordering;
1911 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat,MatSTRUMPACKReordering);
1912 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1913 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat,PetscReal);
1914 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat,PetscReal rtol) {return MatSTRUMPACKSetHSSRelTol(mat,rtol);}
1915 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat,PetscReal);
1916 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat,PetscInt);
1917 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat,PetscInt hssminsize) {return MatSTRUMPACKSetHSSMinSepSize(mat,hssminsize);}
1918 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat,PetscInt);
1919 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat,PetscInt);
1920 #endif
1921 
1922 
1923 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat,PetscBool);
1924 PETSC_DEPRECATED_FUNCTION("Use MatBindToCPU (since v3.13)") PETSC_STATIC_INLINE PetscErrorCode MatPinToCPU(Mat A,PetscBool flg) {return MatBindToCPU(A,flg);}
1925 
1926 typedef struct _p_SplitCSRMat PetscSplitCSRDataStructure;
1927 
1928 #ifdef PETSC_HAVE_KOKKOS_KERNELS
1929 PETSC_EXTERN PetscErrorCode MatKokkosGetDeviceMatWrite(Mat,PetscSplitCSRDataStructure**);
1930 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosSetDeviceMat(Mat, PetscSplitCSRDataStructure *);
1931 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosGetDeviceMat(Mat, PetscSplitCSRDataStructure **);
1932 #endif
1933 
1934 #ifdef PETSC_HAVE_CUDA
1935 /*E
1936     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1937     matrices.
1938 
1939     Not Collective
1940 
1941 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1942 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1943 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1944 
1945     Level: intermediate
1946 
1947    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1948 
1949 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1950 E*/
1951 
1952 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1953 
1954 /* these will be strings associated with enumerated type defined above */
1955 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1956 
1957 /*E
1958     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1959     matrices whose operation should use a particular storage format.
1960 
1961     Not Collective
1962 
1963 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1964 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1965 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1966 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1967 
1968     Level: intermediate
1969 
1970 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1971 E*/
1972 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1973 
1974 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1975 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1976 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1977 typedef struct Mat_SeqAIJCUSPARSETriFactors* Mat_SeqAIJCUSPARSETriFactors_p;
1978 PETSC_INTERN PetscErrorCode MatSeqAIJCUSPARSETriFactors_Reset(Mat_SeqAIJCUSPARSETriFactors_p*);
1979 
1980 PETSC_EXTERN PetscErrorCode MatCUSPARSEGetDeviceMatWrite(Mat,PetscSplitCSRDataStructure**);
1981 
1982 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
1983 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
1984 PETSC_EXTERN PetscErrorCode MatMPIDenseCUDASetPreallocation(Mat,PetscScalar[]);
1985 PETSC_EXTERN PetscErrorCode MatSeqDenseCUDASetPreallocation(Mat,PetscScalar[]);
1986 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat,PetscScalar**);
1987 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat,const PetscScalar**);
1988 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat,PetscScalar**);
1989 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat,PetscScalar**);
1990 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat,const PetscScalar**);
1991 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat,PetscScalar**);
1992 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat,const PetscScalar*);
1993 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat,const PetscScalar*);
1994 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
1995 
1996 #endif
1997 
1998 #if defined(PETSC_HAVE_VIENNACL)
1999 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
2000 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
2001 #endif
2002 
2003 /*
2004    PETSc interface to FFTW
2005 */
2006 #if defined(PETSC_HAVE_FFTW)
2007 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
2008 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
2009 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
2010 #endif
2011 
2012 #if defined(PETSC_HAVE_SCALAPACK)
2013 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
2014 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat,PetscInt,PetscInt);
2015 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat,PetscInt*,PetscInt*);
2016 #endif
2017 
2018 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
2019 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
2020 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
2021 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
2022 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
2023 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
2024 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
2025 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
2026 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
2027 
2028 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
2029 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
2030 
2031 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
2032 
2033 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
2034 
2035 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
2036 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
2037 
2038 #endif
2039