xref: /petsc/include/petscmat.h (revision a873a8cd69acc6fd9b12ad3d6b30ee1bf0a81da9)
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 #define MATSOLVERSPQR             "spqr"
151 
152 /*E
153     MatFactorType - indicates what type of factorization is requested
154 
155     Level: beginner
156 
157    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
158 
159 .seealso: MatSolverType, MatGetFactor(), MatGetFactorAvailable(), MatSolverTypeRegister()
160 E*/
161 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;
162 PETSC_EXTERN const char *const MatFactorTypes[];
163 
164 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,MatSolverType,MatFactorType,Mat*);
165 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,MatSolverType,MatFactorType,PetscBool *);
166 PETSC_EXTERN PetscErrorCode MatFactorGetCanUseOrdering(Mat, PetscBool*);
167 PETSC_DEPRECATED_FUNCTION("Use MatFactorGetCanUseOrdering() (since version 3.15)") PETSC_STATIC_INLINE PetscErrorCode MatFactorGetUseOrdering(Mat A,PetscBool *b) {return MatFactorGetCanUseOrdering(A,b);}
168 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat,MatSolverType*);
169 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
170 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat,MatFactorType);
171 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatSolverFunction)(Mat,MatFactorType,Mat*);
172 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType,MatType,MatFactorType,MatSolverFunction);
173 PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType,MatType,MatFactorType,PetscBool*,PetscBool*,MatSolverFunction*);
174 typedef MatSolverType MatSolverPackage PETSC_DEPRECATED_TYPEDEF("Use MatSolverType (since version 3.9)");
175 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeRegister() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSolverPackageRegister(MatSolverType stype,MatType mtype,MatFactorType ftype,MatSolverFunction f)
176 { return MatSolverTypeRegister(stype,mtype,ftype,f); }
177 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)
178 { return MatSolverTypeGet(stype,mtype,ftype,foundmtype,foundstype,f); }
179 
180 /*E
181     MatProductType - indicates what type of matrix product is requested
182 
183     Level: beginner
184 
185 .seealso: MatSolverType, MatProductSetType()
186 E*/
187 typedef enum {MATPRODUCT_UNSPECIFIED=0,MATPRODUCT_AB,MATPRODUCT_AtB,MATPRODUCT_ABt,MATPRODUCT_PtAP,MATPRODUCT_RARt,MATPRODUCT_ABC} MatProductType;
188 PETSC_EXTERN const char *const MatProductTypes[];
189 
190 /*J
191     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
192 
193    Level: beginner
194 
195 .seealso: MatSetType(), Mat, MatSolverType, MatRegister(), MatProductSetAlgorithm(), MatProductType
196 J*/
197 typedef const char* MatProductAlgorithm;
198 #define MATPRODUCTALGORITHM_DEFAULT "default"
199 
200 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat,Mat,Mat,Mat*);
201 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat,Mat,Mat,Mat);
202 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat,MatProductType);
203 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat,MatProductAlgorithm);
204 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat,PetscReal);
205 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
206 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
207 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
208 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat,Mat,Mat,Mat);
209 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
210 PETSC_EXTERN PetscErrorCode MatProductView(Mat,PetscViewer);
211 
212 /* Logging support */
213 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
214 PETSC_EXTERN PetscClassId MAT_CLASSID;
215 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
216 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
217 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
218 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
219 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
220 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
221 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
222 
223 /*E
224     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
225      are to be reused to store the new matrix values.
226 
227 $  MAT_INITIAL_MATRIX - create a new matrix
228 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
229 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
230 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
231 
232     Level: beginner
233 
234    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
235 
236 .seealso: MatCreateSubMatrices(), MatCreateSubMatrix(), MatDestroyMatrices(), MatConvert()
237 E*/
238 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
239 
240 /*E
241     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
242      include the matrix values. Currently it is only used by MatGetSeqNonzeroStructure().
243 
244     Level: beginner
245 
246 .seealso: MatGetSeqNonzeroStructure()
247 E*/
248 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatCreateSubMatrixOption;
249 
250 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
251 
252 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
253 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
254 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
255 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat,VecType*);
256 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat,VecType);
257 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
258 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat,PetscObject,const char[]);
259 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
260 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[],const char[],const char[]);
261 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
262 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
263 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
264 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
265 
266 PETSC_EXTERN PetscFunctionList MatList;
267 PETSC_EXTERN PetscFunctionList MatColoringList;
268 PETSC_EXTERN PetscFunctionList MatPartitioningList;
269 
270 /*E
271     MatStructure - Indicates if two matrices have the same nonzero structure
272 
273     Level: beginner
274 
275 $  SAME_NONZERO_PATTERN  - the two matrices have identical nonzero patterns
276 $  DIFFERENT_NONZERO_PATTERN - the two matrices may have different nonzero patterns
277 $  SUBSET_NONZERO_PATTERN - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
278 $  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
279 
280    Developer Notes:
281      Any additions/changes here MUST also be made in src/mat/f90-mod/petscmat.h
282 
283 .seealso: MatCopy(), MatAXPY(), MatAYPX()
284 E*/
285 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN,UNKNOWN_NONZERO_PATTERN} MatStructure;
286 PETSC_EXTERN const char *const MatStructures[];
287 
288 #if defined PETSC_HAVE_MKL_SPARSE
289 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
290 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
291 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
292 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
293 #endif
294 
295 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
296 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
297 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat,PetscInt,const PetscInt[]);
298 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
299 
300 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
301 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
302 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
303 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
304 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
305 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
306 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
307 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm,Mat,Mat,const PetscInt[],Mat*);
308 
309 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
310 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
311 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
312 
313 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat,PetscInt,const PetscInt[],const PetscInt[]);
314 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat,const PetscScalar[],InsertMode);
315 
316 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
317 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
318 
319 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
320 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
321 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
322 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
323 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
324 
325 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
326 PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm,PetscInt,PetscInt,Mat*);
327 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
328 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
329 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
330 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
331 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
332 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
333 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
334 
335 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
336 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
337 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
338 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
339 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
340 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
341 typedef enum {MAT_COMPOSITE_MERGE_RIGHT,MAT_COMPOSITE_MERGE_LEFT} MatCompositeMergeType;
342 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat,MatCompositeMergeType);
343 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
344 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
345 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
346 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat,MatCompositeType*);
347 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat,MatStructure);
348 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat,MatStructure*);
349 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat,PetscInt*);
350 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat,PetscInt,Mat*);
351 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat,const PetscScalar*);
352 
353 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
354 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
355 
356 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
357 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
358 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
359 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat,Mat*);
360 PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat,Mat*);
361 PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat,Mat*);
362 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
363 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
364 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
365 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar,Mat*);
366 
367 #if defined(PETSC_HAVE_HYPRE)
368 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
369 #endif
370 
371 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
372 
373 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
374 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
375 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
376 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
377 
378 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
379 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
380 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
381 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
382 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
383 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
384 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat,PetscInt,const PetscInt*,PetscScalar*);
385 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat,Mat);
386 
387 /* ------------------------------------------------------------*/
388 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
389 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
390 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
391 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
392 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
393 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
394 
395 /*S
396      MatStencil - Data structure (C struct) for storing information about a single row or
397         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
398 
399    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).
400    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.
401 
402    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
403 
404    Fortran usage is different, see MatSetValuesStencil() for details.
405 
406    Level: beginner
407 
408 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
409 S*/
410 typedef struct {
411   PetscInt k,j,i,c;
412 } MatStencil;
413 
414 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
415 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
416 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
417 
418 /*E
419     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
420      to continue to add or insert values to it
421 
422     Level: beginner
423 
424 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
425 E*/
426 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
427 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
428 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
429 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
430 
431 /*E
432     MatOption - Options that may be set for a matrix and its behavior or storage
433 
434     Level: beginner
435 
436    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
437    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
438 
439    Developer Notes:
440     Entries that are negative need not be called collectively by all processes.
441 
442 .seealso: MatSetOption()
443 E*/
444 typedef enum {MAT_OPTION_MIN = -3,
445               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
446               MAT_ROW_ORIENTED = -1,
447               MAT_SYMMETRIC = 1,
448               MAT_STRUCTURALLY_SYMMETRIC = 2,
449               MAT_FORCE_DIAGONAL_ENTRIES = 3,
450               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
451               MAT_USE_HASH_TABLE = 5,
452               MAT_KEEP_NONZERO_PATTERN = 6,
453               MAT_IGNORE_ZERO_ENTRIES = 7,
454               MAT_USE_INODES = 8,
455               MAT_HERMITIAN = 9,
456               MAT_SYMMETRY_ETERNAL = 10,
457               MAT_NEW_NONZERO_LOCATION_ERR = 11,
458               MAT_IGNORE_LOWER_TRIANGULAR = 12,
459               MAT_ERROR_LOWER_TRIANGULAR = 13,
460               MAT_GETROW_UPPERTRIANGULAR = 14,
461               MAT_SPD = 15,
462               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
463               MAT_NO_OFF_PROC_ENTRIES = 17,
464               MAT_NEW_NONZERO_LOCATIONS = 18,
465               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
466               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
467               MAT_SUBMAT_SINGLEIS = 21,
468               MAT_STRUCTURE_ONLY = 22,
469               MAT_SORTED_FULL = 23,
470               MAT_FORM_EXPLICIT_TRANSPOSE = 24,
471               MAT_OPTION_MAX = 25} MatOption;
472 
473 PETSC_EXTERN const char *const *MatOptions;
474 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
475 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
476 PETSC_EXTERN PetscErrorCode MatPropagateSymmetryOptions(Mat,Mat);
477 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
478 
479 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
480 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
481 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
482 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
483 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
484 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
485 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
486 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArrayRead(Mat,const PetscScalar *[]);
487 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
488 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArrayRead(Mat,const PetscScalar *[]);
489 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
490 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
491 PETSC_EXTERN PetscErrorCode MatSeqAIJSetType(Mat,MatType);
492 PETSC_EXTERN PetscErrorCode MatSeqAIJKron(Mat,Mat,MatReuse,Mat*);
493 PETSC_EXTERN PetscErrorCode MatSeqAIJRegister(const char[],PetscErrorCode (*)(Mat,MatType,MatReuse,Mat *));
494 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
495 PETSC_EXTERN PetscErrorCode MatSeqBAIJGetArray(Mat,PetscScalar *[]);
496 PETSC_EXTERN PetscErrorCode MatSeqBAIJRestoreArray(Mat,PetscScalar *[]);
497 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
498 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
499 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
500 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
501 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
502 PETSC_EXTERN PetscErrorCode MatDenseReplaceArray(Mat,const PetscScalar[]);
503 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
504 PETSC_EXTERN PetscErrorCode MatDenseGetArrayRead(Mat,const PetscScalar *[]);
505 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayRead(Mat,const PetscScalar *[]);
506 PETSC_EXTERN PetscErrorCode MatDenseGetArrayWrite(Mat,PetscScalar *[]);
507 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayWrite(Mat,PetscScalar *[]);
508 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
509 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
510 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
511 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
512 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
513 PETSC_EXTERN PetscErrorCode MatSetVariableBlockSizes(Mat,PetscInt,PetscInt*);
514 PETSC_EXTERN PetscErrorCode MatGetVariableBlockSizes(Mat,PetscInt*,const PetscInt**);
515 
516 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat,PetscInt,PetscScalar*[]);
517 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat,PetscScalar*[]);
518 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat,PetscInt,Vec*);
519 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat,PetscInt,Vec*);
520 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat,PetscInt,Vec*);
521 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat,PetscInt,Vec*);
522 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat,PetscInt,Vec*);
523 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat,PetscInt,Vec*);
524 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat,PetscInt,PetscInt,Mat*);
525 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat,Mat*);
526 
527 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
528 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
529 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
530 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
531 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
532 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
533 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
534 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
535 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
536 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
537 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
538 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
539 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
540 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat,Mat,Mat);
541 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
542 
543 /*E
544     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
545   its numerical values copied over or just its nonzero structure.
546 
547     Level: beginner
548 
549    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
550 
551 $   MAT_DO_NOT_COPY_VALUES    - Create a matrix using the same nonzero pattern as the original matrix,
552 $                               with zeros for the numerical values.
553 $   MAT_COPY_VALUES           - Create a matrix with the same nonzero pattern as the original matrix
554 $                               and with the same numerical values.
555 $   MAT_SHARE_NONZERO_PATTERN - Create a matrix that shares the nonzero structure with the previous matrix
556 $                               and does not copy it, using zeros for the numerical values. The parent and
557 $                               child matrices will share their index (i and j) arrays, and you cannot
558 $                               insert new nonzero entries into either matrix.
559 
560 Notes:
561     Many matrix types (including SeqAIJ) do not support the MAT_SHARE_NONZERO_PATTERN optimization; in
562 this case the behavior is as if MAT_DO_NOT_COPY_VALUES has been specified.
563 
564 .seealso: MatDuplicate()
565 E*/
566 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
567 
568 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
569 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
570 
571 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
572 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
573 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
574 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
575 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
576 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
577 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
578 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
579 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
580 
581 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
582 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
583 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
584 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
585 
586 /*S
587      MatInfo - Context of matrix information, used with MatGetInfo()
588 
589    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
590 
591    Level: intermediate
592 
593 .seealso:  MatGetInfo(), MatInfoType
594 S*/
595 typedef struct {
596   PetscLogDouble block_size;                         /* block size */
597   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
598   PetscLogDouble memory;                             /* memory allocated */
599   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
600   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
601   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
602   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
603 } MatInfo;
604 
605 /*E
606     MatInfoType - Indicates if you want information about the local part of the matrix,
607      the entire parallel matrix or the maximum over all the local parts.
608 
609     Level: beginner
610 
611    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
612 
613 .seealso: MatGetInfo(), MatInfo
614 E*/
615 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
616 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
617 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
618 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
619 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
620 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
621 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
622 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
623 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
624 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
625 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
626 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
627 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
628 
629 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
630 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
631 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
632 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
633 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
634 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
635 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
636 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
637 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
638 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
639 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat,PetscInt,PetscBool*);
640 
641 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
642 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
643 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat,ReductionType,PetscReal*);
644 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
645 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
646 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
647 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
648 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
649 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
650 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
651 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
652 
653 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
654 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
655 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
656 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
657 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
658 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
659 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
660 
661 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
662 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);}
663 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
664 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);}
665 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
666 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
667 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
668 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);}
669 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
670 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
671 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
672 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
673 
674 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
675 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
676 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
677 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
678 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
679 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat,MatReuse,IS*,Mat*);
680 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
681 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
682 
683 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
684 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
685 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
686 
687 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
688 
689 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
690 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
691 
692 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
693 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
694 
695 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
696 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
697 
698 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
699 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
700 
701 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
702 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
703 
704 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
705 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
706 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
707 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat,PetscLayout,PetscLayout);
708 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
709 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
710 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
711 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
712 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
713 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
714 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
715 
716 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
717 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
718 
719 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
720 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
721 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
722 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat,Mat,Mat*);
723 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat,Mat,Mat,Mat*);
724 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat,Mat,Mat*);
725 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
726 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);}
727 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
728 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
729 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
730 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
731 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
732 
733 /*MC
734    MatSetValue - Set a single entry into a matrix.
735 
736    Not collective
737 
738    Synopsis:
739      #include <petscmat.h>
740      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
741 
742    Input Parameters:
743 +  m - the matrix
744 .  row - the row location of the entry
745 .  col - the column location of the entry
746 .  value - the value to insert
747 -  mode - either INSERT_VALUES or ADD_VALUES
748 
749    Notes:
750    For efficiency one should use MatSetValues() and set several or many
751    values simultaneously if possible.
752 
753    Level: beginner
754 
755 .seealso: MatSetValues(), MatSetValueLocal()
756 M*/
757 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
758 
759 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
760 
761 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
762 
763 /*MC
764    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
765        row in a matrix providing the data that one can use to correctly preallocate the matrix.
766 
767    Synopsis:
768    #include <petscmat.h>
769    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
770 
771    Collective
772 
773    Input Parameters:
774 +  comm - the communicator that will share the eventually allocated matrix
775 .  nrows - the number of LOCAL rows in the matrix
776 -  ncols - the number of LOCAL columns in the matrix
777 
778    Output Parameters:
779 +  dnz - the array that will be passed to the matrix preallocation routines
780 -  onz - the other array passed to the matrix preallocation routines
781 
782    Level: intermediate
783 
784    Notes:
785     See Users-Manual: ch_performance for more details.
786 
787    Do not malloc or free dnz and onz, that is handled internally by these routines
788 
789    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
790 
791 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
792           MatPreallocateSymmetricSetLocalBlock()
793 M*/
794 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
795 do { \
796   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ncols = (ncols),__rstart,__start,__end; \
797   _4_ierr = PetscCalloc2((size_t)__nrows,&dnz,(size_t)__nrows,&onz);CHKERRQ(_4_ierr); \
798   __start = 0; __end = __start;                                         \
799   _4_ierr = MPI_Scan(&__ncols,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRMPI(_4_ierr); __start = __end - __ncols;\
800   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRMPI(_4_ierr); __rstart = __rstart - __nrows; \
801   do { } while (0)
802 
803 /*MC
804    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
805        inserted using a local number of the rows and columns
806 
807    Synopsis:
808    #include <petscmat.h>
809    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
810 
811    Not Collective
812 
813    Input Parameters:
814 +  map - the row mapping from local numbering to global numbering
815 .  nrows - the number of rows indicated
816 .  rows - the indices of the rows
817 .  cmap - the column mapping from local to global numbering
818 .  ncols - the number of columns in the matrix
819 .  cols - the columns indicated
820 .  dnz - the array that will be passed to the matrix preallocation routines
821 -  onz - the other array passed to the matrix preallocation routines
822 
823    Level: intermediate
824 
825    Notes:
826     See Users-Manual: ch_performance for more details.
827 
828    Do not malloc or free dnz and onz, that is handled internally by these routines
829 
830 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
831           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
832 M*/
833 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
834 do {\
835   PetscInt __l;\
836   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
837   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
838   for (__l=0;__l<nrows;__l++) {\
839     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
840   }\
841  } while (0)
842 
843 /*MC
844    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
845        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
846 
847    Synopsis:
848    #include <petscmat.h>
849    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
850 
851    Not Collective
852 
853    Input Parameters:
854 +  map - the row mapping from local numbering to global numbering
855 .  nrows - the number of rows indicated
856 .  rows - the indices of the rows (these values are mapped to the global values)
857 .  cmap - the column mapping from local to global numbering
858 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
859 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
860 .  dnz - the array that will be passed to the matrix preallocation routines
861 -  onz - the other array passed to the matrix preallocation routines
862 
863    Level: intermediate
864 
865    Notes:
866     See Users-Manual: ch_performance for more details.
867 
868    Do not malloc or free dnz and onz, that is handled internally by these routines
869 
870 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
871           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
872 M*/
873 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
874 do {\
875   PetscInt __l;\
876   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
877   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
878   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
879   for (__l=0;__l<nrows;__l++) {\
880     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
881   }\
882  } while (0)
883 
884 /*MC
885    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
886        inserted using a local number of the rows and columns
887 
888    Synopsis:
889    #include <petscmat.h>
890    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
891 
892    Not Collective
893 
894    Input Parameters:
895 +  map - the row mapping from local numbering to global numbering
896 .  nrows - the number of rows indicated
897 .  rows - the indices of the rows
898 .  cmap - the column mapping from local to global numbering
899 .  ncols - the number of columns in the matrix
900 .  cols - the columns indicated
901 .  dnz - the array that will be passed to the matrix preallocation routines
902 -  onz - the other array passed to the matrix preallocation routines
903 
904    Level: intermediate
905 
906    Notes:
907     See Users-Manual: ch_performance for more details.
908 
909    Do not malloc or free dnz and onz, that is handled internally by these routines
910 
911 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
912           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
913 M*/
914 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
915 do {\
916   PetscInt __l;\
917   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
918   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
919   for (__l=0;__l<nrows;__l++) {\
920     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
921   }\
922 } while (0)
923 
924 /*MC
925    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
926        inserted using a local number of the rows and columns
927 
928    Synopsis:
929    #include <petscmat.h>
930    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
931 
932    Not Collective
933 
934    Input Parameters:
935 +  map - the mapping between local numbering and global numbering
936 .  nrows - the number of rows indicated
937 .  rows - the indices of the rows
938 .  ncols - the number of columns in the matrix
939 .  cols - the columns indicated
940 .  dnz - the array that will be passed to the matrix preallocation routines
941 -  onz - the other array passed to the matrix preallocation routines
942 
943    Level: intermediate
944 
945    Notes:
946     See Users-Manual: ch_performance for more details.
947 
948    Do not malloc or free dnz and onz that is handled internally by these routines
949 
950 .seealso: MatPreallocateFinalize(), MatPreallocateSet()
951           MatPreallocateInitialize(),  MatPreallocateSetLocal()
952 M*/
953 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
954 do {\
955   PetscInt __l;\
956   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
957   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
958   for (__l=0;__l<nrows;__l++) {\
959     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
960   }\
961 } while (0)
962 
963 /*MC
964    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
965        inserted using a local number of the rows and columns
966 
967    Synopsis:
968    #include <petscmat.h>
969    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
970 
971    Not Collective
972 
973    Input Parameters:
974 +  row - the row
975 .  ncols - the number of columns in the matrix
976 -  cols - the columns indicated
977 
978    Output Parameters:
979 +  dnz - the array that will be passed to the matrix preallocation routines
980 -  onz - the other array passed to the matrix preallocation routines
981 
982    Level: intermediate
983 
984    Notes:
985     See Users-Manual: ch_performance for more details.
986 
987    Do not malloc or free dnz and onz that is handled internally by these routines
988 
989    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
990 
991 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
992           MatPreallocateInitialize(), MatPreallocateSetLocal()
993 M*/
994 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
995 do { PetscInt __i; \
996   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);\
997   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);\
998   for (__i=0; __i<nc; __i++) {\
999     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1000     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
1001   }\
1002 } while (0)
1003 
1004 /*MC
1005    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1006        inserted using a local number of the rows and columns
1007 
1008    Synopsis:
1009    #include <petscmat.h>
1010    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1011 
1012    Not Collective
1013 
1014    Input Parameters:
1015 +  nrows - the number of rows indicated
1016 .  rows - the indices of the rows
1017 .  ncols - the number of columns in the matrix
1018 .  cols - the columns indicated
1019 .  dnz - the array that will be passed to the matrix preallocation routines
1020 -  onz - the other array passed to the matrix preallocation routines
1021 
1022    Level: intermediate
1023 
1024    Notes:
1025     See Users-Manual: ch_performance for more details.
1026 
1027    Do not malloc or free dnz and onz that is handled internally by these routines
1028 
1029    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
1030 
1031 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
1032           MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
1033 M*/
1034 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
1035 do { PetscInt __i; \
1036   for (__i=0; __i<nc; __i++) {\
1037     if (cols[__i] >= __end) onz[row - __rstart]++; \
1038     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
1039   }\
1040 } while (0)
1041 
1042 /*MC
1043    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1044 
1045    Synopsis:
1046    #include <petscmat.h>
1047    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1048 
1049    Not Collective
1050 
1051    Input Parameters:
1052 +  A - matrix
1053 .  row - row where values exist (must be local to this process)
1054 .  ncols - number of columns
1055 .  cols - columns with nonzeros
1056 .  dnz - the array that will be passed to the matrix preallocation routines
1057 -  onz - the other array passed to the matrix preallocation routines
1058 
1059    Level: intermediate
1060 
1061    Notes:
1062     See Users-Manual: ch_performance for more details.
1063 
1064    Do not malloc or free dnz and onz that is handled internally by these routines
1065 
1066    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
1067 
1068 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1069           MatPreallocateSymmetricSetLocalBlock()
1070 M*/
1071 #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)
1072 
1073 /*MC
1074    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
1075        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1076 
1077    Synopsis:
1078    #include <petscmat.h>
1079    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
1080 
1081    Collective
1082 
1083    Input Parameters:
1084 +  dnz - the array that was be passed to the matrix preallocation routines
1085 -  onz - the other array passed to the matrix preallocation routines
1086 
1087    Level: intermediate
1088 
1089    Notes:
1090     See Users-Manual: ch_performance for more details.
1091 
1092    Do not malloc or free dnz and onz that is handled internally by these routines
1093 
1094    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
1095 
1096 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1097           MatPreallocateSymmetricSetLocalBlock()
1098 M*/
1099 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);} while (0)
1100 
1101 /* Routines unique to particular data structures */
1102 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
1103 
1104 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
1105 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1106 
1107 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1108 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1109 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1110 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1111 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1112 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
1113 
1114 #define MAT_SKIP_ALLOCATION -4
1115 
1116 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1117 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1118 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1119 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat,PetscInt);
1120 
1121 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1122 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1123 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1124 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1125 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1126 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1127 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1128 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1129 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat,Mat*);
1130 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1131 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1132 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1133 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1134 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1135 
1136 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat,PetscInt*);
1137 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat,PetscInt);
1138 PETSC_DEPRECATED_FUNCTION("Use MatDenseSetLDA() (since version 3.14)") PETSC_STATIC_INLINE PetscErrorCode MatSeqDenseSetLDA(Mat A,PetscInt lda) {return MatDenseSetLDA(A,lda);}
1139 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1140 
1141 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1142 
1143 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1144 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1145 
1146 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1147 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1148 /*
1149   These routines are not usually accessed directly, rather solving is
1150   done through the KSP and PC interfaces.
1151 */
1152 
1153 /*J
1154     MatOrderingType - String with the name of a PETSc matrix ordering
1155 
1156    Level: beginner
1157 
1158    Notes:
1159       If MATORDERINGEXTERNAL is used then PETSc does not compute an ordering and utilizes one built into the factorization package
1160 
1161 .seealso: MatGetOrdering()
1162 J*/
1163 typedef const char* MatOrderingType;
1164 #define MATORDERINGNATURAL        "natural"
1165 #define MATORDERINGND             "nd"
1166 #define MATORDERING1WD            "1wd"
1167 #define MATORDERINGRCM            "rcm"
1168 #define MATORDERINGQMD            "qmd"
1169 #define MATORDERINGROWLENGTH      "rowlength"
1170 #define MATORDERINGWBM            "wbm"
1171 #define MATORDERINGSPECTRAL       "spectral"
1172 #define MATORDERINGAMD            "amd"            /* only works if UMFPACK is installed with PETSc */
1173 #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 */
1174 #define MATORDERINGEXTERNAL       "external"       /* uses an ordering type internal to the factorization package */
1175 
1176 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1177 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1178 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1179 PETSC_EXTERN PetscFunctionList MatOrderingList;
1180 
1181 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1182 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1183 
1184 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat,MatFactorType,MatOrderingType*);
1185 
1186 /*S
1187     MatFactorShiftType - Numeric Shift for factorizations
1188 
1189    Level: beginner
1190 
1191 .seealso: MatGetFactor()
1192 S*/
1193 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1194 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1195 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1196 
1197 /*S
1198     MatFactorError - indicates what type of error was generated in a matrix factorization
1199 
1200     Level: beginner
1201 
1202     Developer Notes:
1203     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1204 
1205 .seealso: MatGetFactor()
1206 S*/
1207 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1208 
1209 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1210 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1211 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1212 
1213 /*S
1214    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1215 
1216    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1217 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1218 
1219    Notes:
1220     These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1221 
1222       You can use MatFactorInfoInitialize() to set default values.
1223 
1224    Level: developer
1225 
1226 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1227           MatFactorInfoInitialize()
1228 
1229 S*/
1230 typedef struct {
1231   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1232   PetscReal     usedt;
1233   PetscReal     dt;             /* drop tolerance */
1234   PetscReal     dtcol;          /* tolerance for pivoting */
1235   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1236   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1237   PetscReal     levels;         /* ICC/ILU(levels) */
1238   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1239                                    factorization may be faster if do not pivot */
1240   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1241   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1242   PetscReal     shiftamount;     /* how large the shift is */
1243 } MatFactorInfo;
1244 
1245 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1246 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1247 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1248 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1249 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1250 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1251 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1252 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1253 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1254 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1255 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1256 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat,IS,const MatFactorInfo*);
1257 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1258 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat,Mat,const MatFactorInfo*);
1259 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1260 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1261 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1262 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1263 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1264 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1265 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1266 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1267 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1268 
1269 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1270 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1271 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1272 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1273 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1274 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1275 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1276 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1277 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1278 
1279 /*E
1280     MatSORType - What type of (S)SOR to perform
1281 
1282     Level: beginner
1283 
1284    May be bitwise ORd together
1285 
1286    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1287 
1288    MatSORType may be bitwise ORd together, so do not change the numbers
1289 
1290 .seealso: MatSOR()
1291 E*/
1292 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1293               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1294               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1295               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1296 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1297 
1298 /*
1299     These routines are for efficiently computing Jacobians via finite differences.
1300 */
1301 
1302 /*S
1303      MatColoring - Object for managing the coloring of matrices.
1304 
1305    Level: beginner
1306 
1307     Notes:
1308        Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the MatColoring object or from the mesh from which the
1309        matrix comes from via DMCreateColoring(). In general using the mesh produces a more optimal coloring (fewer colors).
1310 
1311        Once a coloring is available MatFDColoringCreate() creates an object that can be used to efficiently compute Jacobians using that coloring. This
1312        same object can also be used to efficiently convert data created by Automatic Differentation tools to PETSc sparse matrices.
1313 
1314 .seealso:  MatFDColoringCreate(), MatColoringWeightType, ISColoring, MatFDColoring, DMCreateColoring(), MatColoringCreate(), MatOrdering, MatPartitioning
1315 S*/
1316 typedef struct _p_MatColoring* MatColoring;
1317 
1318 /*J
1319     MatColoringType - String with the name of a PETSc matrix coloring
1320 
1321    Level: beginner
1322 
1323 .seealso: MatColoringSetType(), MatColoring
1324 J*/
1325 typedef const  char*           MatColoringType;
1326 #define MATCOLORINGJP      "jp"
1327 #define MATCOLORINGPOWER   "power"
1328 #define MATCOLORINGNATURAL "natural"
1329 #define MATCOLORINGSL      "sl"
1330 #define MATCOLORINGLF      "lf"
1331 #define MATCOLORINGID      "id"
1332 #define MATCOLORINGGREEDY  "greedy"
1333 
1334 /*E
1335    MatColoringWeightType - Type of weight scheme
1336 
1337     Not Collective
1338 
1339 +   MAT_COLORING_RANDOM  - Random weights
1340 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1341 -   MAT_COLORING_LF      - Last-first weighting.
1342 
1343     Level: intermediate
1344 
1345    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1346 
1347 .seealso: MatColoring, MatColoringCreate()
1348 E*/
1349 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1350 
1351 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1352 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1353 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1354 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1355 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1356 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1357 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1358 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1359 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1360 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1361 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1362 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1363 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1364 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1365 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1366 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1367 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring,ISColoring);
1368 PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") PETSC_STATIC_INLINE PetscErrorCode MatColoringTestValid(MatColoring matcoloring,ISColoring iscoloring) {return MatColoringTest(matcoloring,iscoloring);}
1369 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat,ISColoring);
1370 
1371 /*S
1372      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1373         and coloring
1374 
1375    Level: beginner
1376 
1377    Notes:
1378       This object is creating utilizing a coloring provided by the MatColoring object or DMCreateColoring()
1379 
1380 .seealso:  MatFDColoringCreate(), MatColoring, DMCreateColoring()
1381 S*/
1382 typedef struct _p_MatFDColoring* MatFDColoring;
1383 
1384 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1385 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1386 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1387 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1388 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1389 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1390 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1391 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1392 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1393 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1394 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1395 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1396 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat,MatFDColoring,const PetscScalar*);
1397 
1398 /*S
1399      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1400 
1401    Level: beginner
1402 
1403 .seealso:  MatTransposeColoringCreate()
1404 S*/
1405 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1406 
1407 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1408 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1409 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1410 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1411 
1412 /*
1413     These routines are for partitioning matrices: currently used only
1414   for adjacency matrix, MatCreateMPIAdj().
1415 */
1416 
1417 /*S
1418      MatPartitioning - Object for managing the partitioning of a matrix or graph
1419 
1420    Level: beginner
1421 
1422    Notes:
1423      There is also a PetscPartitioner object that provides the same functionality. It can utilize the MatPartitioning operations
1424      via PetscPartitionerSetType(p,PETSCPARTITIONERMATPARTITIONING)
1425 
1426    Developers Note:
1427      It is an extra maintainance and documentation cost to have two objects with the same functionality.
1428 
1429 .seealso:  MatPartitioningCreate(), MatPartitioningType, MatColoring, MatGetOrdering()
1430 S*/
1431 typedef struct _p_MatPartitioning* MatPartitioning;
1432 
1433 /*J
1434     MatPartitioningType - String with the name of a PETSc matrix partitioning
1435 
1436    Level: beginner
1437 dm
1438 .seealso: MatPartitioningCreate(), MatPartitioning
1439 J*/
1440 typedef const char* MatPartitioningType;
1441 #define MATPARTITIONINGCURRENT  "current"
1442 #define MATPARTITIONINGAVERAGE   "average"
1443 #define MATPARTITIONINGSQUARE   "square"
1444 #define MATPARTITIONINGPARMETIS "parmetis"
1445 #define MATPARTITIONINGCHACO    "chaco"
1446 #define MATPARTITIONINGPARTY    "party"
1447 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1448 #define MATPARTITIONINGHIERARCH  "hierarch"
1449 
1450 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1451 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1452 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1453 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1454 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1455 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1456 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning,PetscBool);
1457 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning,PetscBool*);
1458 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1459 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning,IS*);
1460 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning,IS);
1461 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning,IS*);
1462 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1463 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1464 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1465 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning,PetscObject,const char[]);
1466 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1467 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1468 
1469 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1470 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1471 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1472 
1473 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1474 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1475 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1476 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1477 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1478 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1479 
1480 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1481 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1482 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1483 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1484 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1485 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1486 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1487 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1488 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1489 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1490 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1491 
1492 #define MP_PARTY_OPT "opt"
1493 #define MP_PARTY_LIN "lin"
1494 #define MP_PARTY_SCA "sca"
1495 #define MP_PARTY_RAN "ran"
1496 #define MP_PARTY_GBF "gbf"
1497 #define MP_PARTY_GCF "gcf"
1498 #define MP_PARTY_BUB "bub"
1499 #define MP_PARTY_DEF "def"
1500 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1501 #define MP_PARTY_HELPFUL_SETS "hs"
1502 #define MP_PARTY_KERNIGHAN_LIN "kl"
1503 #define MP_PARTY_NONE "no"
1504 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1505 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1506 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1507 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1508 
1509 typedef enum { MP_PTSCOTCH_DEFAULT,MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1510 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1511 
1512 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1513 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1514 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1515 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1516 
1517 /*
1518  * hierarchical partitioning
1519  */
1520 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1521 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1522 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1523 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1524 
1525 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1526 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1527 
1528 /*
1529     If you add entries here you must also add them to include/petscmat.h
1530     and src/mat/f90-mod/petscmat.h
1531 */
1532 typedef enum { MATOP_SET_VALUES=0,
1533                MATOP_GET_ROW=1,
1534                MATOP_RESTORE_ROW=2,
1535                MATOP_MULT=3,
1536                MATOP_MULT_ADD=4,
1537                MATOP_MULT_TRANSPOSE=5,
1538                MATOP_MULT_TRANSPOSE_ADD=6,
1539                MATOP_SOLVE=7,
1540                MATOP_SOLVE_ADD=8,
1541                MATOP_SOLVE_TRANSPOSE=9,
1542                MATOP_SOLVE_TRANSPOSE_ADD=10,
1543                MATOP_LUFACTOR=11,
1544                MATOP_CHOLESKYFACTOR=12,
1545                MATOP_SOR=13,
1546                MATOP_TRANSPOSE=14,
1547                MATOP_GETINFO=15,
1548                MATOP_EQUAL=16,
1549                MATOP_GET_DIAGONAL=17,
1550                MATOP_DIAGONAL_SCALE=18,
1551                MATOP_NORM=19,
1552                MATOP_ASSEMBLY_BEGIN=20,
1553                MATOP_ASSEMBLY_END=21,
1554                MATOP_SET_OPTION=22,
1555                MATOP_ZERO_ENTRIES=23,
1556                MATOP_ZERO_ROWS=24,
1557                MATOP_LUFACTOR_SYMBOLIC=25,
1558                MATOP_LUFACTOR_NUMERIC=26,
1559                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1560                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1561                MATOP_SETUP_PREALLOCATION=29,
1562                MATOP_ILUFACTOR_SYMBOLIC=30,
1563                MATOP_ICCFACTOR_SYMBOLIC=31,
1564                MATOP_GET_DIAGONAL_BLOCK=32,
1565                MATOP_FREE_INTER_STRUCT=33,
1566                MATOP_DUPLICATE=34,
1567                MATOP_FORWARD_SOLVE=35,
1568                MATOP_BACKWARD_SOLVE=36,
1569                MATOP_ILUFACTOR=37,
1570                MATOP_ICCFACTOR=38,
1571                MATOP_AXPY=39,
1572                MATOP_CREATE_SUBMATRICES=40,
1573                MATOP_INCREASE_OVERLAP=41,
1574                MATOP_GET_VALUES=42,
1575                MATOP_COPY=43,
1576                MATOP_GET_ROW_MAX=44,
1577                MATOP_SCALE=45,
1578                MATOP_SHIFT=46,
1579                MATOP_DIAGONAL_SET=47,
1580                MATOP_ZERO_ROWS_COLUMNS=48,
1581                MATOP_SET_RANDOM=49,
1582                MATOP_GET_ROW_IJ=50,
1583                MATOP_RESTORE_ROW_IJ=51,
1584                MATOP_GET_COLUMN_IJ=52,
1585                MATOP_RESTORE_COLUMN_IJ=53,
1586                MATOP_FDCOLORING_CREATE=54,
1587                MATOP_COLORING_PATCH=55,
1588                MATOP_SET_UNFACTORED=56,
1589                MATOP_PERMUTE=57,
1590                MATOP_SET_VALUES_BLOCKED=58,
1591                MATOP_CREATE_SUBMATRIX=59,
1592                MATOP_DESTROY=60,
1593                MATOP_VIEW=61,
1594                MATOP_CONVERT_FROM=62,
1595                MATOP_MATMAT_MULT=63,
1596                MATOP_MATMAT_MULT_SYMBOLIC=64,
1597                MATOP_MATMAT_MULT_NUMERIC=65,
1598                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1599                MATOP_SET_VALUES_LOCAL=67,
1600                MATOP_ZERO_ROWS_LOCAL=68,
1601                MATOP_GET_ROW_MAX_ABS=69,
1602                MATOP_GET_ROW_MIN_ABS=70,
1603                MATOP_CONVERT=71,
1604                MATOP_SET_COLORING=72,
1605                /* MATOP_PLACEHOLDER_73=73, */
1606                MATOP_SET_VALUES_ADIFOR=74,
1607                MATOP_FD_COLORING_APPLY=75,
1608                MATOP_SET_FROM_OPTIONS=76,
1609                MATOP_MULT_CONSTRAINED=77,
1610                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1611                MATOP_FIND_ZERO_DIAGONALS=79,
1612                MATOP_MULT_MULTIPLE=80,
1613                MATOP_SOLVE_MULTIPLE=81,
1614                MATOP_GET_INERTIA=82,
1615                MATOP_LOAD=83,
1616                MATOP_IS_SYMMETRIC=84,
1617                MATOP_IS_HERMITIAN=85,
1618                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1619                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1620                MATOP_CREATE_VECS=88,
1621                MATOP_MAT_MULT=89,
1622                MATOP_MAT_MULT_SYMBOLIC=90,
1623                MATOP_MAT_MULT_NUMERIC=91,
1624                MATOP_PTAP=92,
1625                MATOP_PTAP_SYMBOLIC=93,
1626                MATOP_PTAP_NUMERIC=94,
1627                MATOP_MAT_TRANSPOSE_MULT=95,
1628                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1629                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1630                /* MATOP_PLACEHOLDER_98=98, */
1631                MATOP_PRODUCTSETFROMOPTIONS=99,
1632                MATOP_PRODUCTSYMBOLIC=100,
1633                MATOP_PRODUCTNUMERIC=101,
1634                MATOP_CONJUGATE=102,
1635                /* MATOP_PLACEHOLDER_103=103, */
1636                MATOP_SET_VALUES_ROW=104,
1637                MATOP_REAL_PART=105,
1638                MATOP_IMAGINARY_PART=106,
1639                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1640                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1641                MATOP_MAT_SOLVE=109,
1642                MATOP_MAT_SOLVE_TRANSPOSE=110,
1643                MATOP_GET_ROW_MIN=111,
1644                MATOP_GET_COLUMN_VECTOR=112,
1645                MATOP_MISSING_DIAGONAL=113,
1646                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1647                MATOP_CREATE=115,
1648                MATOP_GET_GHOSTS=116,
1649                MATOP_GET_LOCAL_SUB_MATRIX=117,
1650                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1651                MATOP_MULT_DIAGONAL_BLOCK=119,
1652                MATOP_HERMITIAN_TRANSPOSE=120,
1653                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1654                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1655                MATOP_GET_MULTI_PROC_BLOCK=123,
1656                MATOP_FIND_NONZERO_ROWS=124,
1657                MATOP_GET_COLUMN_NORMS=125,
1658                MATOP_INVERT_BLOCK_DIAGONAL=126,
1659                /* MATOP_PLACEHOLDER_127=127, */
1660                MATOP_CREATE_SUB_MATRICES_MPI=128,
1661                MATOP_SET_VALUES_BATCH=129,
1662                MATOP_TRANSPOSE_MAT_MULT=130,
1663                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1664                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1665                MATOP_TRANSPOSE_COLORING_CREAT=133,
1666                MATOP_TRANS_COLORING_APPLY_SPT=134,
1667                MATOP_TRANS_COLORING_APPLY_DEN=135,
1668                MATOP_RART=136,
1669                MATOP_RART_SYMBOLIC=137,
1670                MATOP_RART_NUMERIC=138,
1671                MATOP_SET_BLOCK_SIZES=139,
1672                MATOP_AYPX=140,
1673                MATOP_RESIDUAL=141,
1674                MATOP_FDCOLORING_SETUP=142,
1675                MATOP_MPICONCATENATESEQ=144,
1676                MATOP_DESTROYSUBMATRICES=145,
1677                MATOP_TRANSPOSE_SOLVE=146,
1678                MATOP_GET_VALUES_LOCAL=147
1679              } MatOperation;
1680 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat,MatOperation,void(*)(void));
1681 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat,MatOperation,void(**)(void));
1682 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool*);
1683 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat,PetscBool*);
1684 PETSC_DEPRECATED_FUNCTION("Use MatProductClear() (since version 3.14)") PETSC_STATIC_INLINE PetscErrorCode MatFreeIntermediateDataStructures(Mat A) {return MatProductClear(A);}
1685 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1686 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1687 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1688 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat,VecType);
1689 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1690 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1691 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1692 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat,MatProductType,PetscErrorCode (*)(Mat,Mat,Mat,void**),PetscErrorCode (*)(Mat,Mat,Mat,void*),PetscErrorCode (*)(void*),MatType,MatType);
1693 PETSC_EXTERN PetscErrorCode MatIsShell(Mat,PetscBool*);
1694 
1695 /*
1696    Codes for matrices stored on disk. By default they are
1697    stored in a universal format. By changing the format with
1698    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1699    be stored in a way natural for the matrix, for example dense matrices
1700    would be stored as dense. Matrices stored this way may only be
1701    read into matrices of the same type.
1702 */
1703 #define MATRIX_BINARY_FORMAT_DENSE -1
1704 
1705 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1706 
1707 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat,MatType);
1708 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1709 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat,PetscBool);
1710 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat,PetscBool);
1711 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1712 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1713 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1714 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1715 
1716 /*S
1717      MatNullSpace - Object that removes a null space from a vector, i.e.
1718          orthogonalizes the vector to a subspace
1719 
1720    Level: advanced
1721 
1722   Users manual sections:
1723 .   sec_singular
1724 
1725 .seealso:  MatNullSpaceCreate()
1726 S*/
1727 typedef struct _p_MatNullSpace* MatNullSpace;
1728 
1729 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1730 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1731 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1732 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1733 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1734 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1735 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1736 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1737 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1738 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1739 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1740 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1741 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1742 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1743 
1744 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1745 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1746 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1747 
1748 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1749 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1750 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1751 
1752 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat,MatType,Mat*);
1753 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat,MatType,Mat*);
1754 
1755 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") PETSC_STATIC_INLINE PetscErrorCode MatComputeExplicitOperator(Mat A,Mat* B) { return MatComputeOperator(A,NULL,B); }
1756 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") PETSC_STATIC_INLINE PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A,Mat* B) { return MatComputeOperatorTranspose(A,NULL,B); }
1757 
1758 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat,PetscInt,PetscInt,const PetscScalar[],const PetscScalar[],Mat*);
1759 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat,Mat*);
1760 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat,PetscInt*,PetscInt*,PetscScalar**);
1761 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1762 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat,PetscScalar**);
1763 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat,const PetscScalar**);
1764 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat,PetscInt*,PetscInt*,PetscScalar**);
1765 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1766 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat,PetscScalar**);
1767 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat,const PetscScalar**);
1768 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat,Mat);
1769 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat,PetscInt,PetscInt,const PetscScalar[]);
1770 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat,PetscInt,PetscInt,const PetscScalar[]);
1771 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat,PetscBool*);
1772 
1773 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1774 
1775 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1776 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1777 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1778 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1779 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1780 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1781 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1782 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1783 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1784 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1785 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1786 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1787 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1788 
1789 /*S
1790     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1791               Jacobian vector products
1792 
1793     Notes:
1794     MATMFFD is a specific MatType which uses the MatMFFD data structure
1795 
1796            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1797 
1798     Level: developer
1799 
1800 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1801 S*/
1802 typedef struct _p_MatMFFD* MatMFFD;
1803 
1804 /*J
1805     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1806 
1807    Level: beginner
1808 
1809 .seealso: MatMFFDSetType(), MatMFFDRegister()
1810 J*/
1811 typedef const char* MatMFFDType;
1812 #define MATMFFD_DS  "ds"
1813 #define MATMFFD_WP  "wp"
1814 
1815 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1816 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1817 
1818 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1819 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool);
1820 
1821 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1822 
1823 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1824 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1825 
1826 #ifdef PETSC_HAVE_HARA
1827 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatHaraKernel)(PetscInt,PetscReal[],PetscReal[],void*);
1828 PETSC_EXTERN PetscErrorCode MatCreateHaraFromKernel(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscReal[],MatHaraKernel,void*,PetscReal,PetscInt,PetscInt,Mat*);
1829 PETSC_EXTERN PetscErrorCode MatCreateHaraFromMat(Mat,PetscInt,const PetscReal[],PetscReal,PetscInt,PetscInt,PetscInt,PetscReal,Mat*);
1830 PETSC_EXTERN PetscErrorCode MatHaraSetSamplingMat(Mat,Mat,PetscInt,PetscReal);
1831 #endif
1832 
1833 #ifdef PETSC_HAVE_HTOOL
1834 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatHtoolKernel)(PetscInt,PetscInt,PetscInt,const PetscInt*,const PetscInt*,PetscScalar*,void*);
1835 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscReal[],const PetscReal[],MatHtoolKernel,void*,Mat*);
1836 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat,MatHtoolKernel,void*);
1837 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat,IS*);
1838 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat,IS*);
1839 PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat,PetscBool);
1840 /*E
1841      MatHtoolCompressorType - Indicates the type of compressor used by a MATHTOOL
1842 
1843    Level: beginner
1844 
1845     Values:
1846 +   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA (default) - symmetric partial adaptive cross approximation
1847 .   MAT_HTOOL_COMPRESSOR_FULL_ACA - full adaptive cross approximation
1848 -   MAT_HTOOL_COMPRESSOR_SVD - singular value decomposition
1849 
1850 .seealso: MatCreateHtoolFromKernel(), MATHTOOL, MatHtoolClusteringType
1851 E*/
1852 typedef enum { MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA, MAT_HTOOL_COMPRESSOR_FULL_ACA, MAT_HTOOL_COMPRESSOR_SVD } MatHtoolCompressorType;
1853 /*E
1854      MatHtoolClusteringType - Indicates the type of clustering used by a MATHTOOL
1855 
1856    Level: beginner
1857 
1858     Values:
1859 +   MAT_HTOOL_CLUSTERING_PCA_REGULAR (default) - axis computed via principle component analysis, split uniformly
1860 .   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC - axis computed via principle component analysis, split barycentrically
1861 .   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR - axis along the largest extent of the bounding box, split uniformly
1862 -   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC - axis along the largest extent of the bounding box, split barycentrically
1863 
1864     Notes: higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
1865 
1866 .seealso: MatCreateHtoolFromKernel(), MATHTOOL, MatHtoolCompressorType
1867 E*/
1868 typedef enum { MAT_HTOOL_CLUSTERING_PCA_REGULAR, MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC, MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR, MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC } MatHtoolClusteringType;
1869 #endif
1870 
1871 /*
1872    PETSc interface to MUMPS
1873 */
1874 #ifdef PETSC_HAVE_MUMPS
1875 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1876 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1877 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1878 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1879 
1880 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1881 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1882 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1883 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1884 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat,Mat);
1885 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat,Mat);
1886 #endif
1887 
1888 /*
1889    PETSc interface to Mkl_Pardiso
1890 */
1891 #ifdef PETSC_HAVE_MKL_PARDISO
1892 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1893 #endif
1894 
1895 /*
1896    PETSc interface to Mkl_CPardiso
1897 */
1898 #ifdef PETSC_HAVE_MKL_CPARDISO
1899 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1900 #endif
1901 
1902 /*
1903    PETSc interface to SUPERLU
1904 */
1905 #ifdef PETSC_HAVE_SUPERLU
1906 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1907 #endif
1908 
1909 /*
1910    PETSc interface to SUPERLU_DIST
1911 */
1912 #ifdef PETSC_HAVE_SUPERLU_DIST
1913 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1914 #endif
1915 
1916 /*
1917    PETSc interface to STRUMPACK
1918 */
1919 #ifdef PETSC_HAVE_STRUMPACK
1920 /*E
1921     MatSTRUMPACKReordering - sparsity reducing ordering to be used in STRUMPACK
1922 
1923     Level: intermediate
1924 E*/
1925 typedef enum {MAT_STRUMPACK_NATURAL=0,
1926               MAT_STRUMPACK_METIS=1,
1927               MAT_STRUMPACK_PARMETIS=2,
1928               MAT_STRUMPACK_SCOTCH=3,
1929               MAT_STRUMPACK_PTSCOTCH=4,
1930               MAT_STRUMPACK_RCM=5} MatSTRUMPACKReordering;
1931 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat,MatSTRUMPACKReordering);
1932 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1933 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat,PetscReal);
1934 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat,PetscReal rtol) {return MatSTRUMPACKSetHSSRelTol(mat,rtol);}
1935 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat,PetscReal);
1936 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat,PetscInt);
1937 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat,PetscInt hssminsize) {return MatSTRUMPACKSetHSSMinSepSize(mat,hssminsize);}
1938 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat,PetscInt);
1939 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat,PetscInt);
1940 #endif
1941 
1942 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat,PetscBool);
1943 PETSC_DEPRECATED_FUNCTION("Use MatBindToCPU (since v3.13)") PETSC_STATIC_INLINE PetscErrorCode MatPinToCPU(Mat A,PetscBool flg) {return MatBindToCPU(A,flg);}
1944 
1945 typedef struct _n_SplitCSRMat *PetscSplitCSRDataStructure;
1946 PETSC_EXTERN PetscErrorCode MatCUSPARSEGetDeviceMatWrite(Mat,PetscSplitCSRDataStructure*);
1947 
1948 #ifdef PETSC_HAVE_KOKKOS_KERNELS
1949 PETSC_EXTERN PetscErrorCode MatKokkosGetDeviceMatWrite(Mat,PetscSplitCSRDataStructure*);
1950 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosSetDeviceMat(Mat,PetscSplitCSRDataStructure);
1951 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosGetDeviceMat(Mat,PetscSplitCSRDataStructure*);
1952 #endif
1953 
1954 #ifdef PETSC_HAVE_CUDA
1955 /*E
1956     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1957     matrices.
1958 
1959     Not Collective
1960 
1961 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1962 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1963 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1964 
1965     Level: intermediate
1966 
1967    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1968 
1969 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1970 E*/
1971 
1972 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1973 
1974 /* these will be strings associated with enumerated type defined above */
1975 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1976 
1977 /*E
1978     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1979     matrices whose operation should use a particular storage format.
1980 
1981     Not Collective
1982 
1983 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1984 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1985 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1986 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1987 
1988     Level: intermediate
1989 
1990 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1991 E*/
1992 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1993 
1994 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1995 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1996 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1997 typedef struct Mat_SeqAIJCUSPARSETriFactors* Mat_SeqAIJCUSPARSETriFactors_p;
1998 PETSC_INTERN PetscErrorCode MatSeqAIJCUSPARSETriFactors_Reset(Mat_SeqAIJCUSPARSETriFactors_p*);
1999 
2000 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
2001 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
2002 PETSC_EXTERN PetscErrorCode MatMPIDenseCUDASetPreallocation(Mat,PetscScalar[]);
2003 PETSC_EXTERN PetscErrorCode MatSeqDenseCUDASetPreallocation(Mat,PetscScalar[]);
2004 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat,PetscScalar**);
2005 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat,const PetscScalar**);
2006 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat,PetscScalar**);
2007 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat,PetscScalar**);
2008 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat,const PetscScalar**);
2009 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat,PetscScalar**);
2010 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat,const PetscScalar*);
2011 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat,const PetscScalar*);
2012 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2013 
2014 #endif
2015 
2016 #if defined(PETSC_HAVE_VIENNACL)
2017 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
2018 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
2019 #endif
2020 
2021 /*
2022    PETSc interface to FFTW
2023 */
2024 #if defined(PETSC_HAVE_FFTW)
2025 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
2026 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
2027 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
2028 #endif
2029 
2030 #if defined(PETSC_HAVE_SCALAPACK)
2031 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
2032 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat,PetscInt,PetscInt);
2033 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat,PetscInt*,PetscInt*);
2034 #endif
2035 
2036 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
2037 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
2038 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
2039 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
2040 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
2041 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
2042 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
2043 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
2044 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
2045 
2046 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
2047 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
2048 
2049 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
2050 
2051 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
2052 
2053 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
2054 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
2055 
2056 #endif
2057