xref: /petsc/include/petscmat.h (revision 0a7a67b96c0a777937ccf5be7250f68704e5d494)
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 MATHTOOL           "htool"
113 #define MATH2OPUS          "h2opus"
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 PETSC_EXTERN PetscErrorCode MatProductGetType(Mat,MatProductType*);
212 PETSC_EXTERN PetscErrorCode MatProductGetMats(Mat,Mat*,Mat*,Mat*);
213 
214 /* Logging support */
215 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
216 PETSC_EXTERN PetscClassId MAT_CLASSID;
217 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
218 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
219 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
220 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
221 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
222 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
223 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
224 
225 /*E
226     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
227      are to be reused to store the new matrix values.
228 
229 $  MAT_INITIAL_MATRIX - create a new matrix
230 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
231 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
232 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
233 
234     Level: beginner
235 
236    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
237 
238 .seealso: MatCreateSubMatrices(), MatCreateSubMatrix(), MatDestroyMatrices(), MatConvert()
239 E*/
240 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
241 
242 /*E
243     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
244      include the matrix values. Currently it is only used by MatGetSeqNonzeroStructure().
245 
246     Level: beginner
247 
248 .seealso: MatGetSeqNonzeroStructure()
249 E*/
250 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatCreateSubMatrixOption;
251 
252 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
253 
254 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
255 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
256 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
257 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat,VecType*);
258 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat,VecType);
259 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
260 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat,PetscObject,const char[]);
261 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
262 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[],const char[],const char[]);
263 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
264 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
265 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
266 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
267 
268 PETSC_EXTERN PetscFunctionList MatList;
269 PETSC_EXTERN PetscFunctionList MatColoringList;
270 PETSC_EXTERN PetscFunctionList MatPartitioningList;
271 
272 /*E
273     MatStructure - Indicates if two matrices have the same nonzero structure
274 
275     Level: beginner
276 
277 $  SAME_NONZERO_PATTERN  - the two matrices have identical nonzero patterns
278 $  DIFFERENT_NONZERO_PATTERN - the two matrices may have different nonzero patterns
279 $  SUBSET_NONZERO_PATTERN - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
280 $  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
281 
282    Developer Notes:
283      Any additions/changes here MUST also be made in src/mat/f90-mod/petscmat.h
284 
285 .seealso: MatCopy(), MatAXPY(), MatAYPX()
286 E*/
287 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN,UNKNOWN_NONZERO_PATTERN} MatStructure;
288 PETSC_EXTERN const char *const MatStructures[];
289 
290 #if defined PETSC_HAVE_MKL_SPARSE
291 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
292 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
293 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
294 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
295 #endif
296 
297 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
298 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
299 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat,PetscInt,const PetscInt[]);
300 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
301 
302 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
303 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
304 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
305 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
306 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
307 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
308 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
309 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm,Mat,Mat,const PetscInt[],Mat*);
310 
311 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
312 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
313 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
314 
315 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat,PetscCount,const PetscInt[],const PetscInt[]);
316 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat,PetscCount,PetscInt[],PetscInt[]);
317 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat,const PetscScalar[],InsertMode);
318 
319 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
320 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
321 
322 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
323 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
324 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
325 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
326 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
327 
328 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
329 PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm,PetscInt,PetscInt,Mat*);
330 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
331 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
332 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
333 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
334 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
335 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
336 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
337 
338 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
339 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
340 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
341 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
342 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
343 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
344 typedef enum {MAT_COMPOSITE_MERGE_RIGHT,MAT_COMPOSITE_MERGE_LEFT} MatCompositeMergeType;
345 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat,MatCompositeMergeType);
346 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
347 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
348 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
349 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat,MatCompositeType*);
350 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat,MatStructure);
351 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat,MatStructure*);
352 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat,PetscInt*);
353 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat,PetscInt,Mat*);
354 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat,const PetscScalar*);
355 
356 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
357 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
358 
359 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
360 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
361 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
362 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat,Mat*);
363 PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat,Mat*);
364 PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat,Mat*);
365 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
366 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
367 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
368 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar,Mat*);
369 
370 #if defined(PETSC_HAVE_HYPRE)
371 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
372 #endif
373 
374 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
375 
376 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
377 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
378 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
379 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
380 
381 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
382 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
383 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
384 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
385 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
386 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
387 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat,PetscInt,const PetscInt*,PetscScalar*);
388 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat,Mat);
389 
390 /* ------------------------------------------------------------*/
391 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
392 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
393 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
394 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
395 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
396 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
397 
398 /*S
399      MatStencil - Data structure (C struct) for storing information about a single row or
400         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
401 
402    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).
403    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.
404 
405    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
406 
407    Fortran usage is different, see MatSetValuesStencil() for details.
408 
409    Level: beginner
410 
411 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
412 S*/
413 typedef struct {
414   PetscInt k,j,i,c;
415 } MatStencil;
416 
417 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
418 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
419 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
420 
421 /*E
422     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
423      to continue to add or insert values to it
424 
425     Level: beginner
426 
427 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
428 E*/
429 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
430 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
431 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
432 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
433 
434 /*E
435     MatOption - Options that may be set for a matrix and its behavior or storage
436 
437     Level: beginner
438 
439    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
440    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
441 
442    Developer Notes:
443     Entries that are negative need not be called collectively by all processes.
444 
445 .seealso: MatSetOption()
446 E*/
447 typedef enum {MAT_OPTION_MIN = -3,
448               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
449               MAT_ROW_ORIENTED = -1,
450               MAT_SYMMETRIC = 1,
451               MAT_STRUCTURALLY_SYMMETRIC = 2,
452               MAT_FORCE_DIAGONAL_ENTRIES = 3,
453               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
454               MAT_USE_HASH_TABLE = 5,
455               MAT_KEEP_NONZERO_PATTERN = 6,
456               MAT_IGNORE_ZERO_ENTRIES = 7,
457               MAT_USE_INODES = 8,
458               MAT_HERMITIAN = 9,
459               MAT_SYMMETRY_ETERNAL = 10,
460               MAT_NEW_NONZERO_LOCATION_ERR = 11,
461               MAT_IGNORE_LOWER_TRIANGULAR = 12,
462               MAT_ERROR_LOWER_TRIANGULAR = 13,
463               MAT_GETROW_UPPERTRIANGULAR = 14,
464               MAT_SPD = 15,
465               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
466               MAT_NO_OFF_PROC_ENTRIES = 17,
467               MAT_NEW_NONZERO_LOCATIONS = 18,
468               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
469               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
470               MAT_SUBMAT_SINGLEIS = 21,
471               MAT_STRUCTURE_ONLY = 22,
472               MAT_SORTED_FULL = 23,
473               MAT_FORM_EXPLICIT_TRANSPOSE = 24,
474               MAT_OPTION_MAX = 25} MatOption;
475 
476 PETSC_EXTERN const char *const *MatOptions;
477 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
478 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
479 PETSC_EXTERN PetscErrorCode MatPropagateSymmetryOptions(Mat,Mat);
480 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
481 
482 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
483 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
484 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
485 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
486 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
487 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
488 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
489 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArrayRead(Mat,const PetscScalar *[]);
490 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArrayWrite(Mat,PetscScalar *[]);
491 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
492 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArrayRead(Mat,const PetscScalar *[]);
493 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArrayWrite(Mat,PetscScalar *[]);
494 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
495 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
496 PETSC_EXTERN PetscErrorCode MatSeqAIJSetType(Mat,MatType);
497 PETSC_EXTERN PetscErrorCode MatSeqAIJKron(Mat,Mat,MatReuse,Mat*);
498 PETSC_EXTERN PetscErrorCode MatSeqAIJRegister(const char[],PetscErrorCode (*)(Mat,MatType,MatReuse,Mat *));
499 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
500 PETSC_EXTERN PetscErrorCode MatSeqBAIJGetArray(Mat,PetscScalar *[]);
501 PETSC_EXTERN PetscErrorCode MatSeqBAIJRestoreArray(Mat,PetscScalar *[]);
502 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
503 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
504 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
505 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
506 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
507 PETSC_EXTERN PetscErrorCode MatDenseReplaceArray(Mat,const PetscScalar[]);
508 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
509 PETSC_EXTERN PetscErrorCode MatDenseGetArrayRead(Mat,const PetscScalar *[]);
510 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayRead(Mat,const PetscScalar *[]);
511 PETSC_EXTERN PetscErrorCode MatDenseGetArrayWrite(Mat,PetscScalar *[]);
512 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayWrite(Mat,PetscScalar *[]);
513 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
514 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
515 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
516 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
517 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
518 PETSC_EXTERN PetscErrorCode MatSetVariableBlockSizes(Mat,PetscInt,PetscInt*);
519 PETSC_EXTERN PetscErrorCode MatGetVariableBlockSizes(Mat,PetscInt*,const PetscInt**);
520 
521 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat,PetscInt,PetscScalar*[]);
522 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat,PetscScalar*[]);
523 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat,PetscInt,Vec*);
524 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat,PetscInt,Vec*);
525 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat,PetscInt,Vec*);
526 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat,PetscInt,Vec*);
527 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat,PetscInt,Vec*);
528 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat,PetscInt,Vec*);
529 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat,PetscInt,PetscInt,Mat*);
530 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat,Mat*);
531 
532 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
533 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
534 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
535 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
536 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
537 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
538 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
539 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
540 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
541 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
542 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
543 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
544 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
545 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat,Mat,Mat);
546 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
547 
548 /*E
549     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
550   its numerical values copied over or just its nonzero structure.
551 
552     Level: beginner
553 
554    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
555 
556 $   MAT_DO_NOT_COPY_VALUES    - Create a matrix using the same nonzero pattern as the original matrix,
557 $                               with zeros for the numerical values.
558 $   MAT_COPY_VALUES           - Create a matrix with the same nonzero pattern as the original matrix
559 $                               and with the same numerical values.
560 $   MAT_SHARE_NONZERO_PATTERN - Create a matrix that shares the nonzero structure with the previous matrix
561 $                               and does not copy it, using zeros for the numerical values. The parent and
562 $                               child matrices will share their index (i and j) arrays, and you cannot
563 $                               insert new nonzero entries into either matrix.
564 
565 Notes:
566     Many matrix types (including SeqAIJ) do not support the MAT_SHARE_NONZERO_PATTERN optimization; in
567 this case the behavior is as if MAT_DO_NOT_COPY_VALUES has been specified.
568 
569 .seealso: MatDuplicate()
570 E*/
571 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
572 
573 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
574 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
575 
576 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
577 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
578 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
579 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
580 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
581 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
582 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
583 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
584 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
585 
586 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
587 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
588 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
589 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
590 
591 /*S
592      MatInfo - Context of matrix information, used with MatGetInfo()
593 
594    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
595 
596    Level: intermediate
597 
598 .seealso:  MatGetInfo(), MatInfoType
599 S*/
600 typedef struct {
601   PetscLogDouble block_size;                         /* block size */
602   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
603   PetscLogDouble memory;                             /* memory allocated */
604   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
605   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
606   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
607   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
608 } MatInfo;
609 
610 /*E
611     MatInfoType - Indicates if you want information about the local part of the matrix,
612      the entire parallel matrix or the maximum over all the local parts.
613 
614     Level: beginner
615 
616    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
617 
618 .seealso: MatGetInfo(), MatInfo
619 E*/
620 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
621 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
622 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
623 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
624 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
625 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
626 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
627 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
628 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
629 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
630 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
631 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
632 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
633 
634 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
635 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
636 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
637 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
638 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
639 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
640 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
641 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
642 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
643 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
644 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
645 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
646 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat,PetscInt,PetscBool*);
647 
648 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
649 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
650 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat,PetscScalar*);
651 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat,PetscReal*);
652 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat,PetscReal*);
653 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat,PetscScalar*);
654 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat,PetscReal*);
655 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat,PetscReal*);
656 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat,PetscInt,PetscReal*);
657 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
658 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
659 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
660 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
661 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
662 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
663 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
664 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
665 
666 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
667 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
668 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
669 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
670 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
671 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
672 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
673 
674 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
675 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);}
676 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
677 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);}
678 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
679 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
680 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
681 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);}
682 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
683 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
684 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
685 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
686 
687 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
688 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
689 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
690 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
691 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
692 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat,MatReuse,IS*,Mat*);
693 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
694 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
695 
696 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
697 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
698 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
699 
700 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
701 
702 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
703 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
704 
705 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
706 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
707 
708 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
709 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
710 
711 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
712 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
713 
714 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
715 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
716 
717 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
718 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
719 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
720 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat,PetscLayout,PetscLayout);
721 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
722 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
723 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
724 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
725 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
726 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
727 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
728 
729 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
730 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
731 
732 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
733 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
734 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
735 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat,Mat,Mat*);
736 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat,Mat,Mat,Mat*);
737 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat,Mat,Mat*);
738 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
739 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);}
740 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
741 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
742 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
743 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
744 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
745 
746 /*MC
747    MatSetValue - Set a single entry into a matrix.
748 
749    Not collective
750 
751    Synopsis:
752      #include <petscmat.h>
753      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
754 
755    Input Parameters:
756 +  m - the matrix
757 .  row - the row location of the entry
758 .  col - the column location of the entry
759 .  value - the value to insert
760 -  mode - either INSERT_VALUES or ADD_VALUES
761 
762    Notes:
763    For efficiency one should use MatSetValues() and set several values simultaneously.
764 
765    Level: beginner
766 
767 .seealso: MatGetValue(), MatSetValues(), MatSetValueLocal(), MatSetValuesLocal()
768 M*/
769 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
770 
771 /*@C
772    MatGetValue - Gets a single value from a matrix
773 
774    Not Collective; can only return a value owned by the given process
775 
776    Input Parameters:
777 +  mat - the matrix
778 .  row - the row location of the entry
779 -  col - the column location of the entry
780 
781    Output Parameter:
782 .  va - the value
783 
784    Notes:
785    For efficiency one should use MatGetValues() and get several values simultaneously.
786 
787    See notes for MatGetValues().
788 
789    Level: advanced
790 
791 .seealso: MatSetValue(), MatGetValueLocal(), MatGetValues()
792 @*/
793 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat mat,PetscInt row,PetscInt col,PetscScalar *va) {return MatGetValues(mat,1,&row,1,&col,va);}
794 
795 /*MC
796    MatSetValueLocal - Inserts or adds a single value into a matrix,
797    using a local numbering of the nodes.
798 
799    Not Collective
800 
801    Input Parameters:
802 +  m - the matrix
803 .  row - the row location of the entry
804 .  col - the column location of the entry
805 .  value - the value to insert
806 -  mode - either INSERT_VALUES or ADD_VALUES
807 
808    Notes:
809    For efficiency one should use MatSetValuesLocal() and set several values simultaneously.
810 
811    See notes for MatSetValuesLocal() for additional information on when and how this function can be used.
812 
813    Level: intermediate
814 
815 .seealso: MatSetValue(), MatSetValuesLocal()
816 M*/
817 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
818 
819 /*MC
820    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
821        row in a matrix providing the data that one can use to correctly preallocate the matrix.
822 
823    Synopsis:
824    #include <petscmat.h>
825    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
826 
827    Collective
828 
829    Input Parameters:
830 +  comm - the communicator that will share the eventually allocated matrix
831 .  nrows - the number of LOCAL rows in the matrix
832 -  ncols - the number of LOCAL columns in the matrix
833 
834    Output Parameters:
835 +  dnz - the array that will be passed to the matrix preallocation routines
836 -  onz - the other array passed to the matrix preallocation routines
837 
838    Level: intermediate
839 
840    Notes:
841     See Users-Manual: ch_performance for more details.
842 
843    Do not malloc or free dnz and onz, that is handled internally by these routines
844 
845    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
846 
847 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
848           MatPreallocateSymmetricSetLocalBlock()
849 M*/
850 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
851 do { \
852   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ncols = (ncols),__rstart,__start,__end; \
853   _4_ierr = PetscCalloc2((size_t)__nrows,&dnz,(size_t)__nrows,&onz);CHKERRQ(_4_ierr); \
854   __start = 0; __end = __start;                                         \
855   _4_ierr = MPI_Scan(&__ncols,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRMPI(_4_ierr); __start = __end - __ncols;\
856   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRMPI(_4_ierr); __rstart = __rstart - __nrows; \
857   do { } while (0)
858 
859 /*MC
860    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
861        inserted using a local number of the rows and columns
862 
863    Synopsis:
864    #include <petscmat.h>
865    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
866 
867    Not Collective
868 
869    Input Parameters:
870 +  map - the row mapping from local numbering to global numbering
871 .  nrows - the number of rows indicated
872 .  rows - the indices of the rows
873 .  cmap - the column mapping from local to global numbering
874 .  ncols - the number of columns in the matrix
875 .  cols - the columns indicated
876 .  dnz - the array that will be passed to the matrix preallocation routines
877 -  onz - the other array passed to the matrix preallocation routines
878 
879    Level: intermediate
880 
881    Notes:
882     See Users-Manual: ch_performance for more details.
883 
884    Do not malloc or free dnz and onz, that is handled internally by these routines
885 
886 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
887           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
888 M*/
889 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
890 do {\
891   PetscInt __l;\
892   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
893   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
894   for (__l=0;__l<nrows;__l++) {\
895     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
896   }\
897  } while (0)
898 
899 /*MC
900    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
901        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
902 
903    Synopsis:
904    #include <petscmat.h>
905    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
906 
907    Not Collective
908 
909    Input Parameters:
910 +  map - the row mapping from local numbering to global numbering
911 .  nrows - the number of rows indicated
912 .  rows - the indices of the rows (these values are mapped to the global values)
913 .  cmap - the column mapping from local to global numbering
914 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
915 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
916 .  dnz - the array that will be passed to the matrix preallocation routines
917 -  onz - the other array passed to the matrix preallocation routines
918 
919    Level: intermediate
920 
921    Notes:
922     See Users-Manual: ch_performance for more details.
923 
924    Do not malloc or free dnz and onz, that is handled internally by these routines
925 
926 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
927           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
928 M*/
929 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
930 do {\
931   PetscInt __l;\
932   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
933   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
934   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
935   for (__l=0;__l<nrows;__l++) {\
936     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
937   }\
938  } while (0)
939 
940 /*MC
941    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
942        inserted using a local number of the rows and columns
943 
944    Synopsis:
945    #include <petscmat.h>
946    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
947 
948    Not Collective
949 
950    Input Parameters:
951 +  map - the row mapping from local numbering to global numbering
952 .  nrows - the number of rows indicated
953 .  rows - the indices of the rows
954 .  cmap - the column mapping from local to global numbering
955 .  ncols - the number of columns in the matrix
956 .  cols - the columns indicated
957 .  dnz - the array that will be passed to the matrix preallocation routines
958 -  onz - the other array passed to the matrix preallocation routines
959 
960    Level: intermediate
961 
962    Notes:
963     See Users-Manual: ch_performance for more details.
964 
965    Do not malloc or free dnz and onz, that is handled internally by these routines
966 
967 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
968           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
969 M*/
970 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
971 do {\
972   PetscInt __l;\
973   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
974   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
975   for (__l=0;__l<nrows;__l++) {\
976     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
977   }\
978 } while (0)
979 
980 /*MC
981    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
982        inserted using a local number of the rows and columns
983 
984    Synopsis:
985    #include <petscmat.h>
986    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
987 
988    Not Collective
989 
990    Input Parameters:
991 +  map - the mapping between local numbering and global numbering
992 .  nrows - the number of rows indicated
993 .  rows - the indices of the rows
994 .  ncols - the number of columns in the matrix
995 .  cols - the columns indicated
996 .  dnz - the array that will be passed to the matrix preallocation routines
997 -  onz - the other array passed to the matrix preallocation routines
998 
999    Level: intermediate
1000 
1001    Notes:
1002     See Users-Manual: ch_performance for more details.
1003 
1004    Do not malloc or free dnz and onz that is handled internally by these routines
1005 
1006 .seealso: MatPreallocateFinalize(), MatPreallocateSet()
1007           MatPreallocateInitialize(),  MatPreallocateSetLocal()
1008 M*/
1009 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
1010 do {\
1011   PetscInt __l;\
1012   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
1013   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
1014   for (__l=0;__l<nrows;__l++) {\
1015     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
1016   }\
1017 } while (0)
1018 
1019 /*MC
1020    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1021        inserted using a local number of the rows and columns
1022 
1023    Synopsis:
1024    #include <petscmat.h>
1025    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1026 
1027    Not Collective
1028 
1029    Input Parameters:
1030 +  row - the row
1031 .  ncols - the number of columns in the matrix
1032 -  cols - the columns indicated
1033 
1034    Output Parameters:
1035 +  dnz - the array that will be passed to the matrix preallocation routines
1036 -  onz - the other array passed to the matrix preallocation routines
1037 
1038    Level: intermediate
1039 
1040    Notes:
1041     See Users-Manual: ch_performance for more details.
1042 
1043    Do not malloc or free dnz and onz that is handled internally by these routines
1044 
1045    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
1046 
1047 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
1048           MatPreallocateInitialize(), MatPreallocateSetLocal()
1049 M*/
1050 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
1051 do { PetscInt __i; \
1052   if (PetscUnlikely(row < __rstart)) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Trying to set preallocation for row %" PetscInt_FMT " less than first local row %" PetscInt_FMT,row,__rstart); \
1053   if (PetscUnlikely(row >= __rstart+__nrows)) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Trying to set preallocation for row %" PetscInt_FMT " greater than last local row %" PetscInt_FMT,row,__rstart+__nrows-1); \
1054   for (__i=0; __i<nc; __i++) {\
1055     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1056     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
1057   }\
1058 } while (0)
1059 
1060 /*MC
1061    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1062        inserted using a local number of the rows and columns
1063 
1064    Synopsis:
1065    #include <petscmat.h>
1066    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1067 
1068    Not Collective
1069 
1070    Input Parameters:
1071 +  nrows - the number of rows indicated
1072 .  rows - the indices of the rows
1073 .  ncols - the number of columns in the matrix
1074 .  cols - the columns indicated
1075 .  dnz - the array that will be passed to the matrix preallocation routines
1076 -  onz - the other array passed to the matrix preallocation routines
1077 
1078    Level: intermediate
1079 
1080    Notes:
1081     See Users-Manual: ch_performance for more details.
1082 
1083    Do not malloc or free dnz and onz that is handled internally by these routines
1084 
1085    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
1086 
1087 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
1088           MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
1089 M*/
1090 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
1091 do { PetscInt __i; \
1092   for (__i=0; __i<nc; __i++) {\
1093     if (cols[__i] >= __end) onz[row - __rstart]++; \
1094     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
1095   }\
1096 } while (0)
1097 
1098 /*MC
1099    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1100 
1101    Synopsis:
1102    #include <petscmat.h>
1103    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1104 
1105    Not Collective
1106 
1107    Input Parameters:
1108 +  A - matrix
1109 .  row - row where values exist (must be local to this process)
1110 .  ncols - number of columns
1111 .  cols - columns with nonzeros
1112 .  dnz - the array that will be passed to the matrix preallocation routines
1113 -  onz - the other array passed to the matrix preallocation routines
1114 
1115    Level: intermediate
1116 
1117    Notes:
1118     See Users-Manual: ch_performance for more details.
1119 
1120    Do not malloc or free dnz and onz that is handled internally by these routines
1121 
1122    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
1123 
1124 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1125           MatPreallocateSymmetricSetLocalBlock()
1126 M*/
1127 #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)
1128 
1129 /*MC
1130    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
1131        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1132 
1133    Synopsis:
1134    #include <petscmat.h>
1135    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
1136 
1137    Collective
1138 
1139    Input Parameters:
1140 +  dnz - the array that was be passed to the matrix preallocation routines
1141 -  onz - the other array passed to the matrix preallocation routines
1142 
1143    Level: intermediate
1144 
1145    Notes:
1146     See Users-Manual: ch_performance for more details.
1147 
1148    Do not malloc or free dnz and onz that is handled internally by these routines
1149 
1150    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
1151 
1152 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1153           MatPreallocateSymmetricSetLocalBlock()
1154 M*/
1155 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);} while (0)
1156 
1157 /* Routines unique to particular data structures */
1158 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
1159 
1160 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
1161 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1162 
1163 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1164 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1165 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1166 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1167 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1168 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
1169 
1170 #define MAT_SKIP_ALLOCATION -4
1171 
1172 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1173 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1174 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1175 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat,PetscInt);
1176 
1177 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1178 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1179 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1180 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1181 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1182 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1183 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1184 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1185 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat,Mat*);
1186 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1187 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1188 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1189 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1190 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1191 
1192 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat,PetscInt*);
1193 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat,PetscInt);
1194 PETSC_DEPRECATED_FUNCTION("Use MatDenseSetLDA() (since version 3.14)") PETSC_STATIC_INLINE PetscErrorCode MatSeqDenseSetLDA(Mat A,PetscInt lda) {return MatDenseSetLDA(A,lda);}
1195 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1196 
1197 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1198 
1199 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1200 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1201 
1202 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1203 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1204 /*
1205   These routines are not usually accessed directly, rather solving is
1206   done through the KSP and PC interfaces.
1207 */
1208 
1209 /*J
1210     MatOrderingType - String with the name of a PETSc matrix ordering
1211 
1212    Level: beginner
1213 
1214    Notes:
1215       If MATORDERINGEXTERNAL is used then PETSc does not compute an ordering and utilizes one built into the factorization package
1216 
1217 .seealso: MatGetOrdering()
1218 J*/
1219 typedef const char* MatOrderingType;
1220 #define MATORDERINGNATURAL        "natural"
1221 #define MATORDERINGND             "nd"
1222 #define MATORDERING1WD            "1wd"
1223 #define MATORDERINGRCM            "rcm"
1224 #define MATORDERINGQMD            "qmd"
1225 #define MATORDERINGROWLENGTH      "rowlength"
1226 #define MATORDERINGWBM            "wbm"
1227 #define MATORDERINGSPECTRAL       "spectral"
1228 #define MATORDERINGAMD            "amd"            /* only works if UMFPACK is installed with PETSc */
1229 #define MATORDERINGMETISND        "metisnd"        /* only works if METIS is installed with PETSc */
1230 #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 */
1231 #define MATORDERINGEXTERNAL       "external"       /* uses an ordering type internal to the factorization package */
1232 
1233 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1234 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1235 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1236 PETSC_EXTERN PetscFunctionList MatOrderingList;
1237 
1238 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1239 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1240 
1241 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat,MatFactorType,MatOrderingType*);
1242 
1243 /*S
1244     MatFactorShiftType - Numeric Shift for factorizations
1245 
1246    Level: beginner
1247 
1248 .seealso: MatGetFactor()
1249 S*/
1250 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1251 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1252 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1253 
1254 /*S
1255     MatFactorError - indicates what type of error was generated in a matrix factorization
1256 
1257     Level: beginner
1258 
1259     Developer Notes:
1260     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1261 
1262 .seealso: MatGetFactor()
1263 S*/
1264 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1265 
1266 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1267 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1268 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1269 
1270 /*S
1271    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1272 
1273    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1274 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1275 
1276    Notes:
1277     These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1278 
1279       You can use MatFactorInfoInitialize() to set default values.
1280 
1281    Level: developer
1282 
1283 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1284           MatFactorInfoInitialize()
1285 
1286 S*/
1287 typedef struct {
1288   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1289   PetscReal     usedt;
1290   PetscReal     dt;             /* drop tolerance */
1291   PetscReal     dtcol;          /* tolerance for pivoting */
1292   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1293   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1294   PetscReal     levels;         /* ICC/ILU(levels) */
1295   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1296                                    factorization may be faster if do not pivot */
1297   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1298   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1299   PetscReal     shiftamount;     /* how large the shift is */
1300 } MatFactorInfo;
1301 
1302 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1303 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1304 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1305 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1306 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1307 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1308 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1309 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1310 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1311 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1312 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1313 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat,IS,const MatFactorInfo*);
1314 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1315 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat,Mat,const MatFactorInfo*);
1316 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1317 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1318 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1319 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1320 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1321 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1322 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1323 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1324 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1325 
1326 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1327 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1328 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1329 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1330 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1331 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1332 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1333 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1334 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1335 
1336 /*E
1337     MatSORType - What type of (S)SOR to perform
1338 
1339     Level: beginner
1340 
1341    May be bitwise ORd together
1342 
1343    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1344 
1345    MatSORType may be bitwise ORd together, so do not change the numbers
1346 
1347 .seealso: MatSOR()
1348 E*/
1349 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1350               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1351               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1352               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1353 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1354 
1355 /*
1356     These routines are for efficiently computing Jacobians via finite differences.
1357 */
1358 
1359 /*S
1360      MatColoring - Object for managing the coloring of matrices.
1361 
1362    Level: beginner
1363 
1364     Notes:
1365        Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the MatColoring object or from the mesh from which the
1366        matrix comes from via DMCreateColoring(). In general using the mesh produces a more optimal coloring (fewer colors).
1367 
1368        Once a coloring is available MatFDColoringCreate() creates an object that can be used to efficiently compute Jacobians using that coloring. This
1369        same object can also be used to efficiently convert data created by Automatic Differentation tools to PETSc sparse matrices.
1370 
1371 .seealso:  MatFDColoringCreate(), MatColoringWeightType, ISColoring, MatFDColoring, DMCreateColoring(), MatColoringCreate(), MatOrdering, MatPartitioning, MatColoringType
1372 S*/
1373 typedef struct _p_MatColoring* MatColoring;
1374 
1375 /*J
1376     MatColoringType - String with the name of a PETSc matrix coloring
1377 
1378    Level: beginner
1379 
1380 .seealso: MatColoringSetType(), MatColoring
1381 J*/
1382 typedef const  char*           MatColoringType;
1383 #define MATCOLORINGJP      "jp"
1384 #define MATCOLORINGPOWER   "power"
1385 #define MATCOLORINGNATURAL "natural"
1386 #define MATCOLORINGSL      "sl"
1387 #define MATCOLORINGLF      "lf"
1388 #define MATCOLORINGID      "id"
1389 #define MATCOLORINGGREEDY  "greedy"
1390 
1391 /*E
1392    MatColoringWeightType - Type of weight scheme
1393 
1394     Not Collective
1395 
1396 +   MAT_COLORING_RANDOM  - Random weights
1397 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1398 -   MAT_COLORING_LF      - Last-first weighting.
1399 
1400     Level: intermediate
1401 
1402    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1403 
1404 .seealso: MatColoring, MatColoringCreate()
1405 E*/
1406 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1407 
1408 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1409 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1410 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1411 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1412 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1413 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1414 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1415 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1416 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1417 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1418 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1419 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1420 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1421 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1422 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1423 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1424 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring,ISColoring);
1425 PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") PETSC_STATIC_INLINE PetscErrorCode MatColoringTestValid(MatColoring matcoloring,ISColoring iscoloring) {return MatColoringTest(matcoloring,iscoloring);}
1426 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat,ISColoring);
1427 
1428 /*S
1429      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1430         and coloring
1431 
1432    Level: beginner
1433 
1434    Notes:
1435       This object is creating utilizing a coloring provided by the MatColoring object or DMCreateColoring()
1436 
1437 .seealso:  MatFDColoringCreate(), MatColoring, DMCreateColoring()
1438 S*/
1439 typedef struct _p_MatFDColoring* MatFDColoring;
1440 
1441 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1442 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1443 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1444 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1445 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1446 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1447 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1448 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1449 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1450 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1451 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1452 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1453 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat,MatFDColoring,const PetscScalar*);
1454 
1455 /*S
1456      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1457 
1458    Level: beginner
1459 
1460 .seealso:  MatTransposeColoringCreate()
1461 S*/
1462 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1463 
1464 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1465 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1466 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1467 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1468 
1469 /*
1470     These routines are for partitioning matrices: currently used only
1471   for adjacency matrix, MatCreateMPIAdj().
1472 */
1473 
1474 /*S
1475      MatPartitioning - Object for managing the partitioning of a matrix or graph
1476 
1477    Level: beginner
1478 
1479    Notes:
1480      There is also a PetscPartitioner object that provides the same functionality. It can utilize the MatPartitioning operations
1481      via PetscPartitionerSetType(p,PETSCPARTITIONERMATPARTITIONING)
1482 
1483    Developers Note:
1484      It is an extra maintainance and documentation cost to have two objects with the same functionality.
1485 
1486 .seealso:  MatPartitioningCreate(), MatPartitioningType, MatColoring, MatGetOrdering()
1487 S*/
1488 typedef struct _p_MatPartitioning* MatPartitioning;
1489 
1490 /*J
1491     MatPartitioningType - String with the name of a PETSc matrix partitioning
1492 
1493    Level: beginner
1494 dm
1495 .seealso: MatPartitioningCreate(), MatPartitioning
1496 J*/
1497 typedef const char* MatPartitioningType;
1498 #define MATPARTITIONINGCURRENT  "current"
1499 #define MATPARTITIONINGAVERAGE   "average"
1500 #define MATPARTITIONINGSQUARE   "square"
1501 #define MATPARTITIONINGPARMETIS "parmetis"
1502 #define MATPARTITIONINGCHACO    "chaco"
1503 #define MATPARTITIONINGPARTY    "party"
1504 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1505 #define MATPARTITIONINGHIERARCH  "hierarch"
1506 
1507 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1508 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1509 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1510 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1511 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1512 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1513 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning,PetscBool);
1514 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning,PetscBool*);
1515 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1516 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning,IS*);
1517 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning,IS);
1518 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning,IS*);
1519 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1520 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1521 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1522 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning,PetscObject,const char[]);
1523 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1524 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1525 
1526 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1527 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1528 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1529 
1530 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1531 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1532 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1533 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1534 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1535 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1536 
1537 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1538 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1539 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1540 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1541 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1542 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1543 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1544 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1545 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1546 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1547 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1548 
1549 #define MP_PARTY_OPT "opt"
1550 #define MP_PARTY_LIN "lin"
1551 #define MP_PARTY_SCA "sca"
1552 #define MP_PARTY_RAN "ran"
1553 #define MP_PARTY_GBF "gbf"
1554 #define MP_PARTY_GCF "gcf"
1555 #define MP_PARTY_BUB "bub"
1556 #define MP_PARTY_DEF "def"
1557 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1558 #define MP_PARTY_HELPFUL_SETS "hs"
1559 #define MP_PARTY_KERNIGHAN_LIN "kl"
1560 #define MP_PARTY_NONE "no"
1561 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1562 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1563 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1564 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1565 
1566 typedef enum { MP_PTSCOTCH_DEFAULT,MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1567 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1568 
1569 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1570 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1571 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1572 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1573 
1574 /*
1575  * hierarchical partitioning
1576  */
1577 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1578 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1579 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1580 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1581 
1582 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1583 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1584 
1585 /*
1586     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1587     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1588 */
1589 typedef enum { MATOP_SET_VALUES=0,
1590                MATOP_GET_ROW=1,
1591                MATOP_RESTORE_ROW=2,
1592                MATOP_MULT=3,
1593                MATOP_MULT_ADD=4,
1594                MATOP_MULT_TRANSPOSE=5,
1595                MATOP_MULT_TRANSPOSE_ADD=6,
1596                MATOP_SOLVE=7,
1597                MATOP_SOLVE_ADD=8,
1598                MATOP_SOLVE_TRANSPOSE=9,
1599                MATOP_SOLVE_TRANSPOSE_ADD=10,
1600                MATOP_LUFACTOR=11,
1601                MATOP_CHOLESKYFACTOR=12,
1602                MATOP_SOR=13,
1603                MATOP_TRANSPOSE=14,
1604                MATOP_GETINFO=15,
1605                MATOP_EQUAL=16,
1606                MATOP_GET_DIAGONAL=17,
1607                MATOP_DIAGONAL_SCALE=18,
1608                MATOP_NORM=19,
1609                MATOP_ASSEMBLY_BEGIN=20,
1610                MATOP_ASSEMBLY_END=21,
1611                MATOP_SET_OPTION=22,
1612                MATOP_ZERO_ENTRIES=23,
1613                MATOP_ZERO_ROWS=24,
1614                MATOP_LUFACTOR_SYMBOLIC=25,
1615                MATOP_LUFACTOR_NUMERIC=26,
1616                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1617                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1618                MATOP_SETUP_PREALLOCATION=29,
1619                MATOP_ILUFACTOR_SYMBOLIC=30,
1620                MATOP_ICCFACTOR_SYMBOLIC=31,
1621                MATOP_GET_DIAGONAL_BLOCK=32,
1622                MATOP_FREE_INTER_STRUCT=33,
1623                MATOP_DUPLICATE=34,
1624                MATOP_FORWARD_SOLVE=35,
1625                MATOP_BACKWARD_SOLVE=36,
1626                MATOP_ILUFACTOR=37,
1627                MATOP_ICCFACTOR=38,
1628                MATOP_AXPY=39,
1629                MATOP_CREATE_SUBMATRICES=40,
1630                MATOP_INCREASE_OVERLAP=41,
1631                MATOP_GET_VALUES=42,
1632                MATOP_COPY=43,
1633                MATOP_GET_ROW_MAX=44,
1634                MATOP_SCALE=45,
1635                MATOP_SHIFT=46,
1636                MATOP_DIAGONAL_SET=47,
1637                MATOP_ZERO_ROWS_COLUMNS=48,
1638                MATOP_SET_RANDOM=49,
1639                MATOP_GET_ROW_IJ=50,
1640                MATOP_RESTORE_ROW_IJ=51,
1641                MATOP_GET_COLUMN_IJ=52,
1642                MATOP_RESTORE_COLUMN_IJ=53,
1643                MATOP_FDCOLORING_CREATE=54,
1644                MATOP_COLORING_PATCH=55,
1645                MATOP_SET_UNFACTORED=56,
1646                MATOP_PERMUTE=57,
1647                MATOP_SET_VALUES_BLOCKED=58,
1648                MATOP_CREATE_SUBMATRIX=59,
1649                MATOP_DESTROY=60,
1650                MATOP_VIEW=61,
1651                MATOP_CONVERT_FROM=62,
1652                MATOP_MATMAT_MULT=63,
1653                MATOP_MATMAT_MULT_SYMBOLIC=64,
1654                MATOP_MATMAT_MULT_NUMERIC=65,
1655                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1656                MATOP_SET_VALUES_LOCAL=67,
1657                MATOP_ZERO_ROWS_LOCAL=68,
1658                MATOP_GET_ROW_MAX_ABS=69,
1659                MATOP_GET_ROW_MIN_ABS=70,
1660                MATOP_CONVERT=71,
1661                MATOP_SET_COLORING=72,
1662                /* MATOP_PLACEHOLDER_73=73, */
1663                MATOP_SET_VALUES_ADIFOR=74,
1664                MATOP_FD_COLORING_APPLY=75,
1665                MATOP_SET_FROM_OPTIONS=76,
1666                MATOP_MULT_CONSTRAINED=77,
1667                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1668                MATOP_FIND_ZERO_DIAGONALS=79,
1669                MATOP_MULT_MULTIPLE=80,
1670                MATOP_SOLVE_MULTIPLE=81,
1671                MATOP_GET_INERTIA=82,
1672                MATOP_LOAD=83,
1673                MATOP_IS_SYMMETRIC=84,
1674                MATOP_IS_HERMITIAN=85,
1675                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1676                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1677                MATOP_CREATE_VECS=88,
1678                MATOP_MAT_MULT=89,
1679                MATOP_MAT_MULT_SYMBOLIC=90,
1680                MATOP_MAT_MULT_NUMERIC=91,
1681                MATOP_PTAP=92,
1682                MATOP_PTAP_SYMBOLIC=93,
1683                MATOP_PTAP_NUMERIC=94,
1684                MATOP_MAT_TRANSPOSE_MULT=95,
1685                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1686                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1687                /* MATOP_PLACEHOLDER_98=98, */
1688                MATOP_PRODUCTSETFROMOPTIONS=99,
1689                MATOP_PRODUCTSYMBOLIC=100,
1690                MATOP_PRODUCTNUMERIC=101,
1691                MATOP_CONJUGATE=102,
1692                /* MATOP_PLACEHOLDER_103=103, */
1693                MATOP_SET_VALUES_ROW=104,
1694                MATOP_REAL_PART=105,
1695                MATOP_IMAGINARY_PART=106,
1696                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1697                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1698                MATOP_MAT_SOLVE=109,
1699                MATOP_MAT_SOLVE_TRANSPOSE=110,
1700                MATOP_GET_ROW_MIN=111,
1701                MATOP_GET_COLUMN_VECTOR=112,
1702                MATOP_MISSING_DIAGONAL=113,
1703                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1704                MATOP_CREATE=115,
1705                MATOP_GET_GHOSTS=116,
1706                MATOP_GET_LOCAL_SUB_MATRIX=117,
1707                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1708                MATOP_MULT_DIAGONAL_BLOCK=119,
1709                MATOP_HERMITIAN_TRANSPOSE=120,
1710                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1711                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1712                MATOP_GET_MULTI_PROC_BLOCK=123,
1713                MATOP_FIND_NONZERO_ROWS=124,
1714                MATOP_GET_COLUMN_NORMS=125,
1715                MATOP_INVERT_BLOCK_DIAGONAL=126,
1716                /* MATOP_PLACEHOLDER_127=127, */
1717                MATOP_CREATE_SUB_MATRICES_MPI=128,
1718                MATOP_SET_VALUES_BATCH=129,
1719                MATOP_TRANSPOSE_MAT_MULT=130,
1720                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1721                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1722                MATOP_TRANSPOSE_COLORING_CREAT=133,
1723                MATOP_TRANS_COLORING_APPLY_SPT=134,
1724                MATOP_TRANS_COLORING_APPLY_DEN=135,
1725                MATOP_RART=136,
1726                MATOP_RART_SYMBOLIC=137,
1727                MATOP_RART_NUMERIC=138,
1728                MATOP_SET_BLOCK_SIZES=139,
1729                MATOP_AYPX=140,
1730                MATOP_RESIDUAL=141,
1731                MATOP_FDCOLORING_SETUP=142,
1732                MATOP_MPICONCATENATESEQ=144,
1733                MATOP_DESTROYSUBMATRICES=145,
1734                MATOP_TRANSPOSE_SOLVE=146,
1735                MATOP_GET_VALUES_LOCAL=147
1736              } MatOperation;
1737 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat,MatOperation,void(*)(void));
1738 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat,MatOperation,void(**)(void));
1739 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool*);
1740 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat,PetscBool*);
1741 PETSC_DEPRECATED_FUNCTION("Use MatProductClear() (since version 3.14)") PETSC_STATIC_INLINE PetscErrorCode MatFreeIntermediateDataStructures(Mat A) {return MatProductClear(A);}
1742 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1743 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1744 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1745 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat,VecType);
1746 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1747 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1748 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1749 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat,MatProductType,PetscErrorCode (*)(Mat,Mat,Mat,void**),PetscErrorCode (*)(Mat,Mat,Mat,void*),PetscErrorCode (*)(void*),MatType,MatType);
1750 PETSC_EXTERN PetscErrorCode MatIsShell(Mat,PetscBool*);
1751 
1752 /*
1753    Codes for matrices stored on disk. By default they are
1754    stored in a universal format. By changing the format with
1755    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1756    be stored in a way natural for the matrix, for example dense matrices
1757    would be stored as dense. Matrices stored this way may only be
1758    read into matrices of the same type.
1759 */
1760 #define MATRIX_BINARY_FORMAT_DENSE -1
1761 
1762 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1763 
1764 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat,MatType);
1765 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1766 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat,PetscBool);
1767 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat,PetscBool);
1768 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1769 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1770 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1771 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1772 
1773 /*S
1774      MatNullSpace - Object that removes a null space from a vector, i.e.
1775          orthogonalizes the vector to a subspace
1776 
1777    Level: advanced
1778 
1779   Users manual sections:
1780 .   sec_singular
1781 
1782 .seealso:  MatNullSpaceCreate()
1783 S*/
1784 typedef struct _p_MatNullSpace* MatNullSpace;
1785 
1786 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1787 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1788 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1789 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1790 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1791 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1792 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1793 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1794 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1795 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1796 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1797 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1798 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1799 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1800 
1801 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1802 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1803 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1804 
1805 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1806 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1807 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1808 
1809 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat,MatType,Mat*);
1810 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat,MatType,Mat*);
1811 
1812 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") PETSC_STATIC_INLINE PetscErrorCode MatComputeExplicitOperator(Mat A,Mat* B) { return MatComputeOperator(A,NULL,B); }
1813 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") PETSC_STATIC_INLINE PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A,Mat* B) { return MatComputeOperatorTranspose(A,NULL,B); }
1814 
1815 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat,PetscInt,PetscInt,const PetscScalar[],const PetscScalar[],Mat*);
1816 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat,Mat*);
1817 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat,PetscInt*,PetscInt*,PetscScalar**);
1818 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1819 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat,PetscScalar**);
1820 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat,const PetscScalar**);
1821 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat,PetscInt*,PetscInt*,PetscScalar**);
1822 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1823 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat,PetscScalar**);
1824 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat,const PetscScalar**);
1825 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat,Mat);
1826 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat,PetscInt,PetscInt,const PetscScalar[]);
1827 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat,PetscInt,PetscInt,const PetscScalar[]);
1828 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat,PetscBool*);
1829 
1830 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1831 
1832 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1833 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1834 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1835 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1836 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1837 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1838 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1839 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1840 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1841 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1842 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1843 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1844 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1845 
1846 /*S
1847     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1848               Jacobian vector products
1849 
1850     Notes:
1851     MATMFFD is a specific MatType which uses the MatMFFD data structure
1852 
1853            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1854 
1855     Level: developer
1856 
1857 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1858 S*/
1859 typedef struct _p_MatMFFD* MatMFFD;
1860 
1861 /*J
1862     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1863 
1864    Level: beginner
1865 
1866 .seealso: MatMFFDSetType(), MatMFFDRegister()
1867 J*/
1868 typedef const char* MatMFFDType;
1869 #define MATMFFD_DS  "ds"
1870 #define MATMFFD_WP  "wp"
1871 
1872 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1873 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1874 
1875 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1876 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool);
1877 
1878 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1879 
1880 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1881 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1882 
1883 #ifdef PETSC_HAVE_H2OPUS
1884 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatH2OpusKernel)(PetscInt,PetscReal[],PetscReal[],void*);
1885 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscReal[],PetscBool,MatH2OpusKernel,void*,PetscReal,PetscInt,PetscInt,Mat*);
1886 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat,PetscInt,const PetscReal[],PetscBool,PetscReal,PetscInt,PetscInt,PetscInt,PetscReal,Mat*);
1887 PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat,Mat,PetscInt,PetscReal);
1888 PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
1889 PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat,PetscReal);
1890 PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat,PetscBool);
1891 PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat,PetscBool*);
1892 PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat,IS*);
1893 PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat,PetscBool,Vec,Vec*);
1894 #endif
1895 
1896 #ifdef PETSC_HAVE_HTOOL
1897 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatHtoolKernel)(PetscInt,PetscInt,PetscInt,const PetscInt*,const PetscInt*,PetscScalar*,void*);
1898 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscReal[],const PetscReal[],MatHtoolKernel,void*,Mat*);
1899 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat,MatHtoolKernel,void*);
1900 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat,IS*);
1901 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat,IS*);
1902 PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat,PetscBool);
1903 /*E
1904      MatHtoolCompressorType - Indicates the type of compressor used by a MATHTOOL
1905 
1906    Level: beginner
1907 
1908     Values:
1909 +   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA (default) - symmetric partial adaptive cross approximation
1910 .   MAT_HTOOL_COMPRESSOR_FULL_ACA - full adaptive cross approximation
1911 -   MAT_HTOOL_COMPRESSOR_SVD - singular value decomposition
1912 
1913 .seealso: MatCreateHtoolFromKernel(), MATHTOOL, MatHtoolClusteringType
1914 E*/
1915 typedef enum { MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA, MAT_HTOOL_COMPRESSOR_FULL_ACA, MAT_HTOOL_COMPRESSOR_SVD } MatHtoolCompressorType;
1916 /*E
1917      MatHtoolClusteringType - Indicates the type of clustering used by a MATHTOOL
1918 
1919    Level: beginner
1920 
1921     Values:
1922 +   MAT_HTOOL_CLUSTERING_PCA_REGULAR (default) - axis computed via principle component analysis, split uniformly
1923 .   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC - axis computed via principle component analysis, split barycentrically
1924 .   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR - axis along the largest extent of the bounding box, split uniformly
1925 -   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC - axis along the largest extent of the bounding box, split barycentrically
1926 
1927     Notes: higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
1928 
1929 .seealso: MatCreateHtoolFromKernel(), MATHTOOL, MatHtoolCompressorType
1930 E*/
1931 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;
1932 #endif
1933 
1934 /*
1935    PETSc interface to MUMPS
1936 */
1937 #ifdef PETSC_HAVE_MUMPS
1938 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1939 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1940 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1941 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1942 
1943 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1944 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1945 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1946 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1947 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat,Mat);
1948 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat,Mat);
1949 #endif
1950 
1951 /*
1952    PETSc interface to Mkl_Pardiso
1953 */
1954 #ifdef PETSC_HAVE_MKL_PARDISO
1955 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1956 #endif
1957 
1958 /*
1959    PETSc interface to Mkl_CPardiso
1960 */
1961 #ifdef PETSC_HAVE_MKL_CPARDISO
1962 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1963 #endif
1964 
1965 /*
1966    PETSc interface to SUPERLU
1967 */
1968 #ifdef PETSC_HAVE_SUPERLU
1969 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1970 #endif
1971 
1972 /*
1973    PETSc interface to SUPERLU_DIST
1974 */
1975 #ifdef PETSC_HAVE_SUPERLU_DIST
1976 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1977 #endif
1978 
1979 /*
1980    PETSc interface to STRUMPACK
1981 */
1982 #ifdef PETSC_HAVE_STRUMPACK
1983 /*E
1984     MatSTRUMPACKReordering - sparsity reducing ordering to be used in STRUMPACK
1985 
1986     Level: intermediate
1987 E*/
1988 typedef enum {MAT_STRUMPACK_NATURAL=0,
1989               MAT_STRUMPACK_METIS=1,
1990               MAT_STRUMPACK_PARMETIS=2,
1991               MAT_STRUMPACK_SCOTCH=3,
1992               MAT_STRUMPACK_PTSCOTCH=4,
1993               MAT_STRUMPACK_RCM=5} MatSTRUMPACKReordering;
1994 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat,MatSTRUMPACKReordering);
1995 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1996 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat,PetscReal);
1997 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat,PetscReal rtol) {return MatSTRUMPACKSetHSSRelTol(mat,rtol);}
1998 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat,PetscReal);
1999 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat,PetscInt);
2000 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat,PetscInt hssminsize) {return MatSTRUMPACKSetHSSMinSepSize(mat,hssminsize);}
2001 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat,PetscInt);
2002 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat,PetscInt);
2003 #endif
2004 
2005 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat,PetscBool);
2006 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat,PetscBool*);
2007 PETSC_DEPRECATED_FUNCTION("Use MatBindToCPU (since v3.13)") PETSC_STATIC_INLINE PetscErrorCode MatPinToCPU(Mat A,PetscBool flg) {return MatBindToCPU(A,flg);}
2008 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat,PetscBool);
2009 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat,PetscBool *);
2010 
2011 typedef struct _n_SplitCSRMat *PetscSplitCSRDataStructure;
2012 PETSC_EXTERN PetscErrorCode MatCUSPARSEGetDeviceMatWrite(Mat,PetscSplitCSRDataStructure*);
2013 
2014 #ifdef PETSC_HAVE_KOKKOS_KERNELS
2015 PETSC_EXTERN PetscErrorCode MatKokkosGetDeviceMatWrite(Mat,PetscSplitCSRDataStructure*);
2016 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosSetDeviceMat(Mat,PetscSplitCSRDataStructure);
2017 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosGetDeviceMat(Mat,PetscSplitCSRDataStructure*);
2018 #endif
2019 
2020 #ifdef PETSC_HAVE_CUDA
2021 /*E
2022     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
2023     matrices.
2024 
2025     Not Collective
2026 
2027 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
2028 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
2029 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2030 
2031     Level: intermediate
2032 
2033    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
2034 
2035 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
2036 E*/
2037 
2038 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
2039 
2040 /* these will be strings associated with enumerated type defined above */
2041 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2042 
2043 /*E
2044     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
2045     matrices whose operation should use a particular storage format.
2046 
2047     Not Collective
2048 
2049 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
2050 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
2051 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
2052 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
2053 
2054     Level: intermediate
2055 
2056 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
2057 E*/
2058 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
2059 
2060 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
2061 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
2062 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
2063 PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat,PetscBool);
2064 typedef struct Mat_SeqAIJCUSPARSETriFactors* Mat_SeqAIJCUSPARSETriFactors_p;
2065 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat,PetscBool,const int**,const int**);
2066 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat,PetscBool,const int**,const int**);
2067 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat,const PetscScalar**);
2068 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat,const PetscScalar**);
2069 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat,PetscScalar**);
2070 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat,PetscScalar**);
2071 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat,PetscScalar**);
2072 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat,PetscScalar**);
2073 
2074 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
2075 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
2076 PETSC_EXTERN PetscErrorCode MatMPIDenseCUDASetPreallocation(Mat,PetscScalar[]);
2077 PETSC_EXTERN PetscErrorCode MatSeqDenseCUDASetPreallocation(Mat,PetscScalar[]);
2078 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat,PetscScalar**);
2079 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat,const PetscScalar**);
2080 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat,PetscScalar**);
2081 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat,PetscScalar**);
2082 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat,const PetscScalar**);
2083 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat,PetscScalar**);
2084 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat,const PetscScalar*);
2085 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat,const PetscScalar*);
2086 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2087 
2088 #endif
2089 
2090 #if defined(PETSC_HAVE_VIENNACL)
2091 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
2092 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
2093 #endif
2094 
2095 /*
2096    PETSc interface to FFTW
2097 */
2098 #if defined(PETSC_HAVE_FFTW)
2099 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
2100 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
2101 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
2102 #endif
2103 
2104 #if defined(PETSC_HAVE_SCALAPACK)
2105 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
2106 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat,PetscInt,PetscInt);
2107 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat,PetscInt*,PetscInt*);
2108 #endif
2109 
2110 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
2111 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
2112 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
2113 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
2114 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
2115 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
2116 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
2117 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
2118 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
2119 
2120 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
2121 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
2122 
2123 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
2124 
2125 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
2126 
2127 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
2128 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
2129 
2130 #endif
2131