xref: /petsc/include/petscmat.h (revision fdf6c4e30aafdbc795e4f76379caa977fd5cdf5a) !
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #ifndef PETSCMAT_H
5 #define PETSCMAT_H
6 
7 #include <petscvec.h>
8 
9 /* SUBMANSEC = Mat */
10 
11 /*S
12      Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
13            an explicit sparse representation (such as matrix-free operators)
14 
15    Level: beginner
16 
17 .seealso: `MatCreate()`, `MatType`, `MatSetType()`, `MatDestroy()`
18 S*/
19 typedef struct _p_Mat*           Mat;
20 
21 /*J
22     MatType - String with the name of a PETSc matrix type
23 
24    Level: beginner
25 
26 .seealso: `MatSetType()`, `Mat`, `MatSolverType`, `MatRegister()`
27 J*/
28 typedef const char* MatType;
29 #define MATSAME            "same"
30 #define MATMAIJ            "maij"
31 #define MATSEQMAIJ         "seqmaij"
32 #define MATMPIMAIJ         "mpimaij"
33 #define MATKAIJ            "kaij"
34 #define MATSEQKAIJ         "seqkaij"
35 #define MATMPIKAIJ         "mpikaij"
36 #define MATIS              "is"
37 #define MATAIJ             "aij"
38 #define MATSEQAIJ          "seqaij"
39 #define MATMPIAIJ          "mpiaij"
40 #define MATAIJCRL          "aijcrl"
41 #define MATSEQAIJCRL       "seqaijcrl"
42 #define MATMPIAIJCRL       "mpiaijcrl"
43 #define MATAIJCUSPARSE     "aijcusparse"
44 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
45 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
46 #define MATAIJKOKKOS       "aijkokkos"
47 #define MATSEQAIJKOKKOS    "seqaijkokkos"
48 #define MATMPIAIJKOKKOS    "mpiaijkokkos"
49 #define MATAIJVIENNACL     "aijviennacl"
50 #define MATSEQAIJVIENNACL  "seqaijviennacl"
51 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
52 #define MATAIJPERM         "aijperm"
53 #define MATSEQAIJPERM      "seqaijperm"
54 #define MATMPIAIJPERM      "mpiaijperm"
55 #define MATAIJSELL         "aijsell"
56 #define MATSEQAIJSELL      "seqaijsell"
57 #define MATMPIAIJSELL      "mpiaijsell"
58 #define MATAIJMKL          "aijmkl"
59 #define MATSEQAIJMKL       "seqaijmkl"
60 #define MATMPIAIJMKL       "mpiaijmkl"
61 #define MATBAIJMKL         "baijmkl"
62 #define MATSEQBAIJMKL      "seqbaijmkl"
63 #define MATMPIBAIJMKL      "mpibaijmkl"
64 #define MATSHELL           "shell"
65 #define MATCENTERING       "centering"
66 #define MATDENSE           "dense"
67 #define MATDENSECUDA       "densecuda"
68 #define MATSEQDENSE        "seqdense"
69 #define MATSEQDENSECUDA    "seqdensecuda"
70 #define MATMPIDENSE        "mpidense"
71 #define MATMPIDENSECUDA    "mpidensecuda"
72 #define MATELEMENTAL       "elemental"
73 #define MATSCALAPACK       "scalapack"
74 #define MATBAIJ            "baij"
75 #define MATSEQBAIJ         "seqbaij"
76 #define MATMPIBAIJ         "mpibaij"
77 #define MATMPIADJ          "mpiadj"
78 #define MATSBAIJ           "sbaij"
79 #define MATSEQSBAIJ        "seqsbaij"
80 #define MATMPISBAIJ        "mpisbaij"
81 #define MATMFFD            "mffd"
82 #define MATNORMAL          "normal"
83 #define MATNORMALHERMITIAN "normalh"
84 #define MATLRC             "lrc"
85 #define MATSCATTER         "scatter"
86 #define MATBLOCKMAT        "blockmat"
87 #define MATCOMPOSITE       "composite"
88 #define MATFFT             "fft"
89 #define MATFFTW            "fftw"
90 #define MATSEQCUFFT        "seqcufft"
91 #define MATTRANSPOSEMAT    "transpose"
92 #define MATSCHURCOMPLEMENT "schurcomplement"
93 #define MATPYTHON          "python"
94 #define MATHYPRE           "hypre"
95 #define MATHYPRESTRUCT     "hyprestruct"
96 #define MATHYPRESSTRUCT    "hypresstruct"
97 #define MATSUBMATRIX       "submatrix"
98 #define MATLOCALREF        "localref"
99 #define MATNEST            "nest"
100 #define MATPREALLOCATOR    "preallocator"
101 #define MATSELL            "sell"
102 #define MATSEQSELL         "seqsell"
103 #define MATMPISELL         "mpisell"
104 #define MATDUMMY           "dummy"
105 #define MATLMVM            "lmvm"
106 #define MATLMVMDFP         "lmvmdfp"
107 #define MATLMVMBFGS        "lmvmbfgs"
108 #define MATLMVMSR1         "lmvmsr1"
109 #define MATLMVMBROYDEN     "lmvmbroyden"
110 #define MATLMVMBADBROYDEN  "lmvmbadbroyden"
111 #define MATLMVMSYMBROYDEN  "lmvmsymbroyden"
112 #define MATLMVMSYMBADBROYDEN "lmvmsymbadbroyden"
113 #define MATLMVMDIAGBROYDEN   "lmvmdiagbroyden"
114 #define MATCONSTANTDIAGONAL  "constantdiagonal"
115 #define MATHTOOL           "htool"
116 #define MATH2OPUS          "h2opus"
117 
118 /*J
119     MatSolverType - String with the name of a PETSc matrix solver type.
120 
121     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
122 
123    Level: beginner
124 
125    Notes:  MATSOLVERUMFPACK, MATSOLVERCHOLMOD, MATSOLVERKLU, MATSOLVERSPQR form the SuiteSparse package for which you can use --download-suitesparse
126 
127 .seealso: `MatGetFactor()`, `PCFactorSetMatSolverType()`, `PCFactorGetMatSolverType()`
128 J*/
129 typedef const char* MatSolverType;
130 #define MATSOLVERSUPERLU          "superlu"
131 #define MATSOLVERSUPERLU_DIST     "superlu_dist"
132 #define MATSOLVERSTRUMPACK        "strumpack"
133 #define MATSOLVERUMFPACK          "umfpack"
134 #define MATSOLVERCHOLMOD          "cholmod"
135 #define MATSOLVERKLU              "klu"
136 #define MATSOLVERSPARSEELEMENTAL  "sparseelemental"
137 #define MATSOLVERELEMENTAL        "elemental"
138 #define MATSOLVERSCALAPACK        "scalapack"
139 #define MATSOLVERESSL             "essl"
140 #define MATSOLVERLUSOL            "lusol"
141 #define MATSOLVERMUMPS            "mumps"
142 #define MATSOLVERMKL_PARDISO      "mkl_pardiso"
143 #define MATSOLVERMKL_CPARDISO     "mkl_cpardiso"
144 #define MATSOLVERPASTIX           "pastix"
145 #define MATSOLVERMATLAB           "matlab"
146 #define MATSOLVERPETSC            "petsc"
147 #define MATSOLVERBAS              "bas"
148 #define MATSOLVERCUSPARSE         "cusparse"
149 #define MATSOLVERCUSPARSEBAND     "cusparseband"
150 #define MATSOLVERCUDA             "cuda"
151 #define MATSOLVERKOKKOS           "kokkos"
152 #define MATSOLVERKOKKOSDEVICE     "kokkosdevice"
153 #define MATSOLVERSPQR             "spqr"
154 
155 /*E
156     MatFactorType - indicates what type of factorization is requested
157 
158     Level: beginner
159 
160    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
161 
162 .seealso: `MatSolverType`, `MatGetFactor()`, `MatGetFactorAvailable()`, `MatSolverTypeRegister()`
163 E*/
164 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;
165 PETSC_EXTERN const char *const MatFactorTypes[];
166 
167 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,MatSolverType,MatFactorType,Mat*);
168 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,MatSolverType,MatFactorType,PetscBool *);
169 PETSC_EXTERN PetscErrorCode MatFactorGetCanUseOrdering(Mat, PetscBool*);
170 PETSC_DEPRECATED_FUNCTION("Use MatFactorGetCanUseOrdering() (since version 3.15)") static inline PetscErrorCode MatFactorGetUseOrdering(Mat A,PetscBool *b) {return MatFactorGetCanUseOrdering(A,b);}
171 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat,MatSolverType*);
172 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
173 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat,MatFactorType);
174 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatSolverFunction)(Mat,MatFactorType,Mat*);
175 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType,MatType,MatFactorType,MatSolverFunction);
176 PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType,MatType,MatFactorType,PetscBool*,PetscBool*,MatSolverFunction*);
177 typedef MatSolverType MatSolverPackage PETSC_DEPRECATED_TYPEDEF("Use MatSolverType (since version 3.9)");
178 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeRegister() (since version 3.9)") static inline PetscErrorCode MatSolverPackageRegister(MatSolverType stype,MatType mtype,MatFactorType ftype,MatSolverFunction f)
179 { return MatSolverTypeRegister(stype,mtype,ftype,f); }
180 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeGet() (since version 3.9)") static inline PetscErrorCode MatSolverPackageGet(MatSolverType stype,MatType mtype,MatFactorType ftype,PetscBool *foundmtype,PetscBool *foundstype,MatSolverFunction *f)
181 { return MatSolverTypeGet(stype,mtype,ftype,foundmtype,foundstype,f); }
182 
183 /*E
184     MatProductType - indicates what type of matrix product is requested
185 
186     Level: beginner
187 
188 .seealso: `MatProductSetType()`
189 E*/
190 typedef enum {MATPRODUCT_UNSPECIFIED=0,MATPRODUCT_AB,MATPRODUCT_AtB,MATPRODUCT_ABt,MATPRODUCT_PtAP,MATPRODUCT_RARt,MATPRODUCT_ABC} MatProductType;
191 PETSC_EXTERN const char *const MatProductTypes[];
192 
193 /*J
194     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
195 
196    Level: beginner
197 
198 .seealso: `MatSetType()`, `Mat`, `MatProductSetAlgorithm()`, `MatProductType`
199 J*/
200 typedef const char* MatProductAlgorithm;
201 #define MATPRODUCTALGORITHMDEFAULT "default"
202 #define MATPRODUCTALGORITHMSORTED "sorted"
203 #define MATPRODUCTALGORITHMSCALABLE "scalable"
204 #define MATPRODUCTALGORITHMSCALABLEFAST "scalable_fast"
205 #define MATPRODUCTALGORITHMHEAP "heap"
206 #define MATPRODUCTALGORITHMBHEAP "btheap"
207 #define MATPRODUCTALGORITHMLLCONDENSED "llcondensed"
208 #define MATPRODUCTALGORITHMROWMERGE "rowmerge"
209 #define MATPRODUCTALGORITHMOUTERPRODUCT "outerproduct"
210 #define MATPRODUCTALGORITHMATB "at*b"
211 #define MATPRODUCTALGORITHMRAP "rap"
212 #define MATPRODUCTALGORITHMNONSCALABLE "nonscalable"
213 #define MATPRODUCTALGORITHMSEQMPI "seqmpi"
214 #define MATPRODUCTALGORITHMBACKEND "backend"
215 #define MATPRODUCTALGORITHMOVERLAPPING "overlapping"
216 #define MATPRODUCTALGORITHMMERGED "merged"
217 #define MATPRODUCTALGORITHMALLATONCE "allatonce"
218 #define MATPRODUCTALGORITHMALLATONCEMERGED "allatonce_merged"
219 #define MATPRODUCTALGORITHMALLGATHERV "allgatherv"
220 #define MATPRODUCTALGORITHMCYCLIC "cyclic"
221 #if defined(PETSC_HAVE_HYPRE)
222 #define MATPRODUCTALGORITHMHYPRE "hypre"
223 #endif
224 
225 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat,Mat,Mat,Mat*);
226 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat,Mat,Mat,Mat);
227 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat,MatProductType);
228 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat,MatProductAlgorithm);
229 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat,PetscReal);
230 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
231 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
232 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
233 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat,Mat,Mat,Mat);
234 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
235 PETSC_EXTERN PetscErrorCode MatProductView(Mat,PetscViewer);
236 PETSC_EXTERN PetscErrorCode MatProductGetType(Mat,MatProductType*);
237 PETSC_EXTERN PetscErrorCode MatProductGetMats(Mat,Mat*,Mat*,Mat*);
238 
239 /* Logging support */
240 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
241 PETSC_EXTERN PetscClassId MAT_CLASSID;
242 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
243 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
244 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
245 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
246 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
247 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
248 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
249 
250 /*E
251     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
252      are to be reused to store the new matrix values.
253 
254 $  MAT_INITIAL_MATRIX - create a new matrix
255 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
256 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
257 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
258 
259     Level: beginner
260 
261    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
262 
263 .seealso: `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatDestroyMatrices()`, `MatConvert()`
264 E*/
265 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
266 
267 /*E
268     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
269      include the matrix values. Currently it is only used by MatGetSeqNonzeroStructure().
270 
271     Level: beginner
272 
273 .seealso: `MatGetSeqNonzeroStructure()`
274 E*/
275 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatCreateSubMatrixOption;
276 
277 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
278 
279 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
280 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
281 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
282 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat,VecType*);
283 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat,VecType);
284 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
285 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat,PetscObject,const char[]);
286 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
287 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[],const char[],const char[]);
288 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
289 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefixFactor(Mat,const char[]);
290 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefixFactor(Mat,const char[]);
291 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
292 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
293 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
294 
295 PETSC_EXTERN PetscFunctionList MatList;
296 PETSC_EXTERN PetscFunctionList MatColoringList;
297 PETSC_EXTERN PetscFunctionList MatPartitioningList;
298 
299 /*E
300     MatStructure - Indicates if two matrices have the same nonzero structure
301 
302     Level: beginner
303 
304 $  SAME_NONZERO_PATTERN  - the two matrices have identical nonzero patterns
305 $  DIFFERENT_NONZERO_PATTERN - the two matrices may have different nonzero patterns
306 $  SUBSET_NONZERO_PATTERN - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
307 $  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
308 
309    Developer Notes:
310      Any additions/changes here MUST also be made in src/mat/f90-mod/petscmat.h
311 
312 .seealso: `MatCopy()`, `MatAXPY()`, `MatAYPX()`
313 E*/
314 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN,UNKNOWN_NONZERO_PATTERN} MatStructure;
315 PETSC_EXTERN const char *const MatStructures[];
316 
317 #if defined PETSC_HAVE_MKL_SPARSE
318 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
319 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
320 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
321 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
322 #endif
323 
324 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
325 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
326 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat,PetscInt,const PetscInt[]);
327 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
328 
329 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
330 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
331 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
332 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
333 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
334 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
335 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArray(Mat,const PetscScalar []);
336 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
337 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm,Mat,Mat,const PetscInt[],Mat*);
338 
339 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
340 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
341 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
342 
343 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat,PetscCount,const PetscInt[],const PetscInt[]);
344 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat,PetscCount,PetscInt[],PetscInt[]);
345 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat,const PetscScalar[],InsertMode);
346 
347 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
348 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
349 
350 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
351 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
352 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
353 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
354 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
355 
356 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
357 PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm,PetscInt,PetscInt,Mat*);
358 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
359 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
360 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
361 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
362 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
363 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
364 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
365 
366 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
367 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
368 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
369 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
370 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
371 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
372 typedef enum {MAT_COMPOSITE_MERGE_RIGHT,MAT_COMPOSITE_MERGE_LEFT} MatCompositeMergeType;
373 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat,MatCompositeMergeType);
374 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
375 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
376 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
377 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat,MatCompositeType*);
378 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat,MatStructure);
379 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat,MatStructure*);
380 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat,PetscInt*);
381 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat,PetscInt,Mat*);
382 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat,const PetscScalar*);
383 
384 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
385 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
386 
387 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
388 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
389 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
390 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat,Mat*);
391 PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat,Mat*);
392 PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat,Mat*);
393 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
394 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
395 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
396 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar,Mat*);
397 
398 #if defined(PETSC_HAVE_HYPRE)
399 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
400 #endif
401 
402 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
403 
404 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
405 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
406 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
407 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
408 
409 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
410 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
411 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
412 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
413 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
414 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
415 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat,PetscInt,const PetscInt*,PetscScalar*);
416 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat,Mat);
417 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat,MatReuse,Mat*);
418 
419 /* ------------------------------------------------------------*/
420 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
421 PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat,IS,IS,const PetscScalar[],InsertMode);
422 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
423 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
424 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
425 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
426 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
427 
428 /*S
429      MatStencil - Data structure (C struct) for storing information about a single row or
430         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
431 
432    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).
433    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.
434 
435    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
436 
437    Fortran usage is different, see MatSetValuesStencil() for details.
438 
439    Level: beginner
440 
441 .seealso: `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`
442 S*/
443 typedef struct {
444   PetscInt k,j,i,c;
445 } MatStencil;
446 
447 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
448 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
449 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
450 
451 /*E
452     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
453      to continue to add or insert values to it
454 
455     Level: beginner
456 
457 .seealso: `MatAssemblyBegin()`, `MatAssemblyEnd()`
458 E*/
459 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
460 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
461 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
462 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
463 
464 /*E
465     MatOption - Options that may be set for a matrix and its behavior or storage
466 
467     Level: beginner
468 
469    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
470    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
471 
472    Developer Notes:
473     Entries that are negative need not be called collectively by all processes.
474 
475 .seealso: `MatSetOption()`
476 E*/
477 typedef enum {MAT_OPTION_MIN = -3,
478               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
479               MAT_ROW_ORIENTED = -1,
480               MAT_SYMMETRIC = 1,
481               MAT_STRUCTURALLY_SYMMETRIC = 2,
482               MAT_FORCE_DIAGONAL_ENTRIES = 3,
483               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
484               MAT_USE_HASH_TABLE = 5,
485               MAT_KEEP_NONZERO_PATTERN = 6,
486               MAT_IGNORE_ZERO_ENTRIES = 7,
487               MAT_USE_INODES = 8,
488               MAT_HERMITIAN = 9,
489               MAT_SYMMETRY_ETERNAL = 10,
490               MAT_NEW_NONZERO_LOCATION_ERR = 11,
491               MAT_IGNORE_LOWER_TRIANGULAR = 12,
492               MAT_ERROR_LOWER_TRIANGULAR = 13,
493               MAT_GETROW_UPPERTRIANGULAR = 14,
494               MAT_SPD = 15,
495               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
496               MAT_NO_OFF_PROC_ENTRIES = 17,
497               MAT_NEW_NONZERO_LOCATIONS = 18,
498               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
499               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
500               MAT_SUBMAT_SINGLEIS = 21,
501               MAT_STRUCTURE_ONLY = 22,
502               MAT_SORTED_FULL = 23,
503               MAT_FORM_EXPLICIT_TRANSPOSE = 24,
504               MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
505               MAT_SPD_ETERNAL = 26,
506               MAT_OPTION_MAX = 27} MatOption;
507 
508 PETSC_EXTERN const char *const *MatOptions;
509 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
510 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
511 PETSC_EXTERN PetscErrorCode MatPropagateSymmetryOptions(Mat,Mat);
512 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
513 
514 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
515 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
516 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
517 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
518 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
519 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
520 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
521 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArrayRead(Mat,const PetscScalar *[]);
522 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArrayWrite(Mat,PetscScalar *[]);
523 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
524 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArrayRead(Mat,const PetscScalar *[]);
525 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArrayWrite(Mat,PetscScalar *[]);
526 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
527 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
528 PETSC_EXTERN PetscErrorCode MatSeqAIJSetType(Mat,MatType);
529 PETSC_EXTERN PetscErrorCode MatSeqAIJKron(Mat,Mat,MatReuse,Mat*);
530 PETSC_EXTERN PetscErrorCode MatSeqAIJRegister(const char[],PetscErrorCode (*)(Mat,MatType,MatReuse,Mat *));
531 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
532 PETSC_EXTERN PetscErrorCode MatSeqBAIJGetArray(Mat,PetscScalar *[]);
533 PETSC_EXTERN PetscErrorCode MatSeqBAIJRestoreArray(Mat,PetscScalar *[]);
534 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
535 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
536 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
537 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
538 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
539 PETSC_EXTERN PetscErrorCode MatDenseReplaceArray(Mat,const PetscScalar[]);
540 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
541 PETSC_EXTERN PetscErrorCode MatDenseGetArrayRead(Mat,const PetscScalar *[]);
542 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayRead(Mat,const PetscScalar *[]);
543 PETSC_EXTERN PetscErrorCode MatDenseGetArrayWrite(Mat,PetscScalar *[]);
544 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayWrite(Mat,PetscScalar *[]);
545 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
546 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
547 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
548 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
549 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
550 PETSC_EXTERN PetscErrorCode MatSetVariableBlockSizes(Mat,PetscInt,PetscInt*);
551 PETSC_EXTERN PetscErrorCode MatGetVariableBlockSizes(Mat,PetscInt*,const PetscInt**);
552 
553 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat,PetscInt,PetscScalar*[]);
554 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat,PetscScalar*[]);
555 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat,PetscInt,Vec*);
556 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat,PetscInt,Vec*);
557 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat,PetscInt,Vec*);
558 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat,PetscInt,Vec*);
559 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat,PetscInt,Vec*);
560 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat,PetscInt,Vec*);
561 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
562 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat,Mat*);
563 
564 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
565 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
566 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
567 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
568 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
569 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
570 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
571 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
572 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
573 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
574 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
575 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat,Mat,Mat);
576 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
577 
578 /*E
579     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
580   its numerical values copied over or just its nonzero structure.
581 
582     Level: beginner
583 
584    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
585 
586 $   MAT_DO_NOT_COPY_VALUES    - Create a matrix using the same nonzero pattern as the original matrix,
587 $                               with zeros for the numerical values.
588 $   MAT_COPY_VALUES           - Create a matrix with the same nonzero pattern as the original matrix
589 $                               and with the same numerical values.
590 $   MAT_SHARE_NONZERO_PATTERN - Create a matrix that shares the nonzero structure with the previous matrix
591 $                               and does not copy it, using zeros for the numerical values. The parent and
592 $                               child matrices will share their index (i and j) arrays, and you cannot
593 $                               insert new nonzero entries into either matrix.
594 
595 Notes:
596     Many matrix types (including SeqAIJ) do not support the MAT_SHARE_NONZERO_PATTERN optimization; in
597 this case the behavior is as if MAT_DO_NOT_COPY_VALUES has been specified.
598 
599 .seealso: `MatDuplicate()`
600 E*/
601 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
602 
603 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
604 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
605 
606 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
607 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
608 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
609 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
610 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
611 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
612 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
613 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat,PetscBool *,PetscBool*);
614 PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat,PetscBool*,PetscBool*);
615 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
616 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
617 
618 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
619 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
620 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
621 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
622 
623 /*S
624      MatInfo - Context of matrix information, used with MatGetInfo()
625 
626    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
627 
628    Level: intermediate
629 
630 .seealso: `MatGetInfo()`, `MatInfoType`
631 S*/
632 typedef struct {
633   PetscLogDouble block_size;                         /* block size */
634   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
635   PetscLogDouble memory;                             /* memory allocated */
636   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
637   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
638   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
639   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
640 } MatInfo;
641 
642 /*E
643     MatInfoType - Indicates if you want information about the local part of the matrix,
644      the entire parallel matrix or the maximum over all the local parts.
645 
646     Level: beginner
647 
648    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
649 
650 .seealso: `MatGetInfo()`, `MatInfo`
651 E*/
652 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
653 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
654 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
655 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
656 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
657 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
658 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
659 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
660 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
661 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
662 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
663 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
664 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
665 
666 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
667 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
668 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
669 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
670 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
671 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
672 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
673 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
674 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
675 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
676 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
677 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
678 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat,PetscInt,PetscBool*);
679 
680 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
681 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
682 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat,PetscScalar*);
683 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat,PetscReal*);
684 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat,PetscReal*);
685 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat,PetscScalar*);
686 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat,PetscReal*);
687 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat,PetscReal*);
688 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat,PetscInt,PetscReal*);
689 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
690 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
691 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
692 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
693 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
694 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
695 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
696 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
697 
698 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
699 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
700 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
701 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
702 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
703 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
704 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
705 
706 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
707 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatrices() (since version 3.8)") 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);}
708 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
709 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatricesMPI() (since version 3.8)") 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);}
710 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
711 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
712 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
713 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatrix() (since version 3.8)") static inline PetscErrorCode MatGetSubMatrix(Mat mat,IS isrow,IS iscol,MatReuse cll,Mat *newmat) {return MatCreateSubMatrix(mat,isrow,iscol,cll,newmat);}
714 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
715 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
716 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
717 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
718 
719 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
720 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
721 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
722 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
723 PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat,Mat*);
724 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
725 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat,MatReuse,IS*,Mat*);
726 PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat,PetscCount*);
727 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
728 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
729 
730 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
731 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
732 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
733 
734 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
735 
736 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
737 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
738 
739 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
740 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
741 
742 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
743 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
744 
745 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
746 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
747 
748 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
749 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
750 
751 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
752 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
753 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
754 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat,PetscLayout,PetscLayout);
755 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
756 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
757 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
758 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
759 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
760 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
761 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
762 
763 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
764 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
765 
766 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
767 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
768 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
769 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat,Mat,Mat*);
770 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat,Mat,Mat,Mat*);
771 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat,Mat,Mat*);
772 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
773 PETSC_DEPRECATED_FUNCTION("Use MatCreateVecs() (since version 3.6)") static inline PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
774 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
775 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
776 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
777 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
778 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
779 
780 /*MC
781    MatSetValue - Set a single entry into a matrix.
782 
783    Not collective
784 
785    Synopsis:
786      #include <petscmat.h>
787      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
788 
789    Input Parameters:
790 +  m - the matrix
791 .  row - the row location of the entry
792 .  col - the column location of the entry
793 .  value - the value to insert
794 -  mode - either INSERT_VALUES or ADD_VALUES
795 
796    Notes:
797    For efficiency one should use MatSetValues() and set several values simultaneously.
798 
799    Level: beginner
800 
801 .seealso: `MatGetValue()`, `MatSetValues()`, `MatSetValueLocal()`, `MatSetValuesLocal()`
802 M*/
803 static inline PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
804 
805 /*@C
806    MatGetValue - Gets a single value from a matrix
807 
808    Not Collective; can only return a value owned by the given process
809 
810    Input Parameters:
811 +  mat - the matrix
812 .  row - the row location of the entry
813 -  col - the column location of the entry
814 
815    Output Parameter:
816 .  va - the value
817 
818    Notes:
819    For efficiency one should use MatGetValues() and get several values simultaneously.
820 
821    See notes for MatGetValues().
822 
823    Level: advanced
824 
825 .seealso: `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
826 @*/
827 static inline PetscErrorCode MatGetValue(Mat mat,PetscInt row,PetscInt col,PetscScalar *va) {return MatGetValues(mat,1,&row,1,&col,va);}
828 
829 /*MC
830    MatSetValueLocal - Inserts or adds a single value into a matrix,
831    using a local numbering of the nodes.
832 
833    Not Collective
834 
835    Input Parameters:
836 +  m - the matrix
837 .  row - the row location of the entry
838 .  col - the column location of the entry
839 .  value - the value to insert
840 -  mode - either INSERT_VALUES or ADD_VALUES
841 
842    Notes:
843    For efficiency one should use MatSetValuesLocal() and set several values simultaneously.
844 
845    See notes for MatSetValuesLocal() for additional information on when and how this function can be used.
846 
847    Level: intermediate
848 
849 .seealso: `MatSetValue()`, `MatSetValuesLocal()`
850 M*/
851 static inline PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
852 
853 /*MC
854    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
855        row in a matrix providing the data that one can use to correctly preallocate the matrix.
856 
857    Synopsis:
858    #include <petscmat.h>
859    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
860 
861    Collective
862 
863    Input Parameters:
864 +  comm - the communicator that will share the eventually allocated matrix
865 .  nrows - the number of LOCAL rows in the matrix
866 -  ncols - the number of LOCAL columns in the matrix
867 
868    Output Parameters:
869 +  dnz - the array that will be passed to the matrix preallocation routines
870 -  onz - the other array passed to the matrix preallocation routines
871 
872    Level: intermediate
873 
874    Notes:
875     This is a macro that handles its own error checking, it does not return an error code.
876 
877     See Users-Manual: ch_performance for more details.
878 
879     Do not malloc or free dnz and onz, that is handled internally by these routines
880 
881    Developer Notes:
882     This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
883 
884 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
885           `MatPreallocateSymmetricSetLocalBlock()`
886 M*/
887 #define MatPreallocateBegin(comm,nrows,ncols,dnz,onz)  do {                             \
888   PetscInt __nrows = (nrows),__ncols = (ncols),__rstart,__start,__end = 0;                     \
889   PetscCall(PetscCalloc2(__nrows,&(dnz),__nrows,&(onz)));                                        \
890   PetscCallMPI(MPI_Scan(&__ncols,&__end,1,MPIU_INT,MPI_SUM,comm));                                \
891   __start = __end - __ncols; (void)__start;                                                    \
892   PetscCallMPI(MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm));                             \
893   __rstart -= __nrows
894 
895 #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateBegin() (since version 3.18)\"") MatPreallocateBegin(__VA_ARGS__)
896 
897 /*MC
898    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
899        inserted using a local number of the rows and columns
900 
901    Synopsis:
902    #include <petscmat.h>
903    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
904 
905    Not Collective
906 
907    Input Parameters:
908 +  map - the row mapping from local numbering to global numbering
909 .  nrows - the number of rows indicated
910 .  rows - the indices of the rows
911 .  cmap - the column mapping from local to global numbering
912 .  ncols - the number of columns in the matrix
913 .  cols - the columns indicated
914 .  dnz - the array that will be passed to the matrix preallocation routines
915 -  onz - the other array passed to the matrix preallocation routines
916 
917    Level: intermediate
918 
919    Notes:
920     See Users-Manual: ch_performance for more details.
921 
922    Do not malloc or free dnz and onz, that is handled internally by these routines
923 
924 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
925           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
926 M*/
927 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz)                        \
928   PetscMacroReturnStandard(                                                                    \
929     PetscCall(ISLocalToGlobalMappingApply(rmap,nrows,rows,rows));                                \
930     PetscCall(ISLocalToGlobalMappingApply(cmap,ncols,cols,cols));                                \
931     for (PetscInt __l=0;__l<nrows;__l++) PetscCall(MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz)); \
932   )
933 
934 /*MC
935    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
936        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
937 
938    Synopsis:
939    #include <petscmat.h>
940    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
941 
942    Not Collective
943 
944    Input Parameters:
945 +  map - the row mapping from local numbering to global numbering
946 .  nrows - the number of rows indicated
947 .  rows - the indices of the rows (these values are mapped to the global values)
948 .  cmap - the column mapping from local to global numbering
949 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
950 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
951 .  dnz - the array that will be passed to the matrix preallocation routines
952 -  onz - the other array passed to the matrix preallocation routines
953 
954    Level: intermediate
955 
956    Notes:
957     See Users-Manual: ch_performance for more details.
958 
959    Do not malloc or free dnz and onz, that is handled internally by these routines
960 
961 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
962           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
963 M*/
964 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz)              \
965   PetscMacroReturnStandard(                                                                    \
966     PetscCall(ISLocalToGlobalMappingApply(rmap,nrows,rows,rows));                                \
967     PetscCall(ISLocalToGlobalMappingApply(cmap,ncols,cols,cols));                                \
968     PetscCall(PetscSortRemoveDupsInt(&ncols,cols));                                              \
969     for (PetscInt __l=0;__l<nrows;__l++) PetscCall(MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz)); \
970   )
971 
972 /*MC
973    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
974        inserted using a local number of the rows and columns
975 
976    Synopsis:
977    #include <petscmat.h>
978    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
979 
980    Not Collective
981 
982    Input Parameters:
983 +  map - the row mapping from local numbering to global numbering
984 .  nrows - the number of rows indicated
985 .  rows - the indices of the rows
986 .  cmap - the column mapping from local to global numbering
987 .  ncols - the number of columns in the matrix
988 .  cols - the columns indicated
989 .  dnz - the array that will be passed to the matrix preallocation routines
990 -  onz - the other array passed to the matrix preallocation routines
991 
992    Level: intermediate
993 
994    Notes:
995     See Users-Manual: ch_performance for more details.
996 
997    Do not malloc or free dnz and onz, that is handled internally by these routines
998 
999 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1000           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1001 M*/
1002 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz)                   \
1003   PetscMacroReturnStandard(                                                                    \
1004     PetscCall(ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows));                           \
1005     PetscCall(ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols));                           \
1006     for (PetscInt __l=0;__l<nrows;__l++) PetscCall(MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz)); \
1007   )
1008 
1009 /*MC
1010    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1011        inserted using a local number of the rows and columns
1012 
1013    Synopsis:
1014    #include <petscmat.h>
1015    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1016 
1017    Not Collective
1018 
1019    Input Parameters:
1020 +  map - the mapping between local numbering and global numbering
1021 .  nrows - the number of rows indicated
1022 .  rows - the indices of the rows
1023 .  ncols - the number of columns in the matrix
1024 .  cols - the columns indicated
1025 .  dnz - the array that will be passed to the matrix preallocation routines
1026 -  onz - the other array passed to the matrix preallocation routines
1027 
1028    Level: intermediate
1029 
1030    Notes:
1031     See Users-Manual: ch_performance for more details.
1032 
1033    Do not malloc or free dnz and onz that is handled internally by these routines
1034 
1035 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`
1036           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1037 M*/
1038 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz)                \
1039   PetscMacroReturnStandard(                                                                    \
1040     PetscCall(ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows));                            \
1041     PetscCall(ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols));                            \
1042     for (PetscInt __l=0;__l<nrows;__l++) PetscCall(MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz)); \
1043   )
1044 
1045 /*MC
1046    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1047        inserted using a local number of the rows and columns
1048 
1049    Synopsis:
1050    #include <petscmat.h>
1051    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1052 
1053    Not Collective
1054 
1055    Input Parameters:
1056 +  row - the row
1057 .  ncols - the number of columns in the matrix
1058 -  cols - the columns indicated
1059 
1060    Output Parameters:
1061 +  dnz - the array that will be passed to the matrix preallocation routines
1062 -  onz - the other array passed to the matrix preallocation routines
1063 
1064    Level: intermediate
1065 
1066    Notes:
1067     See Users-Manual: ch_performance for more details.
1068 
1069    Do not malloc or free dnz and onz that is handled internally by these routines
1070 
1071    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1072 
1073 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1074           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1075 M*/
1076 #define MatPreallocateSet(row,nc,cols,dnz,onz) PetscMacroReturnStandard(                       \
1077     PetscCheck(row >= __rstart,PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Trying to set preallocation for row %" PetscInt_FMT " less than first local row %" PetscInt_FMT,row,__rstart); \
1078     PetscCheck(row < __rstart+__nrows,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); \
1079     for (PetscInt __i = 0; __i < nc; ++__i) {                                                  \
1080       if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++;                \
1081       else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;                           \
1082     }                                                                                          \
1083   )
1084 
1085 /*MC
1086    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1087        inserted using a local number of the rows and columns
1088 
1089    Synopsis:
1090    #include <petscmat.h>
1091    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1092 
1093    Not Collective
1094 
1095    Input Parameters:
1096 +  nrows - the number of rows indicated
1097 .  rows - the indices of the rows
1098 .  ncols - the number of columns in the matrix
1099 .  cols - the columns indicated
1100 .  dnz - the array that will be passed to the matrix preallocation routines
1101 -  onz - the other array passed to the matrix preallocation routines
1102 
1103    Level: intermediate
1104 
1105    Notes:
1106     See Users-Manual: ch_performance for more details.
1107 
1108    Do not malloc or free dnz and onz that is handled internally by these routines
1109 
1110    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1111 
1112 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1113           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1114 M*/
1115 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz)                                   \
1116   PetscMacroReturnStandard(                                                                    \
1117     for (PetscInt __i=0; __i<nc; __i++) {                                                      \
1118       if (cols[__i] >= __end) onz[row - __rstart]++;                                           \
1119       else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;       \
1120     }                                                                                          \
1121   )
1122 
1123 /*MC
1124    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1125 
1126    Synopsis:
1127    #include <petscmat.h>
1128    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1129 
1130    Not Collective
1131 
1132    Input Parameters:
1133 +  A - matrix
1134 .  row - row where values exist (must be local to this process)
1135 .  ncols - number of columns
1136 .  cols - columns with nonzeros
1137 .  dnz - the array that will be passed to the matrix preallocation routines
1138 -  onz - the other array passed to the matrix preallocation routines
1139 
1140    Level: intermediate
1141 
1142    Notes:
1143     See Users-Manual: ch_performance for more details.
1144 
1145    Do not malloc or free dnz and onz that is handled internally by these routines
1146 
1147    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
1148 
1149 .seealso: `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1150           `MatPreallocateSymmetricSetLocalBlock()`
1151 M*/
1152 #define MatPreallocateLocation(A,row,ncols,cols,dnz,onz)  (A ? MatSetValues(A,1,&row,ncols,cols,NULL,INSERT_VALUES) : MatPreallocateSet(row,ncols,cols,dnz,onz))
1153 
1154 /*MC
1155    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1156        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1157 
1158    Synopsis:
1159    #include <petscmat.h>
1160    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)
1161 
1162    Collective
1163 
1164    Input Parameters:
1165 +  dnz - the array that was be passed to the matrix preallocation routines
1166 -  onz - the other array passed to the matrix preallocation routines
1167 
1168    Level: intermediate
1169 
1170    Notes:
1171     This is a macro that handles its own error checking, it does not return an error code.
1172 
1173     See Users-Manual: ch_performance for more details.
1174 
1175     Do not malloc or free dnz and onz, that is handled internally by these routines
1176 
1177    Developer Notes:
1178     This is a MACRO not a function because it closes the { started in MatPreallocateBegin().
1179 
1180 .seealso: `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1181           `MatPreallocateSymmetricSetLocalBlock()`
1182 M*/
1183 #define MatPreallocateEnd(dnz,onz) PetscCall(PetscFree2(dnz,onz));} while (0)
1184 
1185 #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateEnd() (since version 3.18)\"") MatPreallocateEnd(__VA_ARGS__)
1186 
1187 /* Routines unique to particular data structures */
1188 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
1189 
1190 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
1191 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1192 
1193 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1194 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1195 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1196 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1197 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1198 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
1199 
1200 #define MAT_SKIP_ALLOCATION -4
1201 
1202 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1203 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1204 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1205 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat,PetscInt);
1206 
1207 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1208 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1209 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1210 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1211 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1212 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1213 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1214 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1215 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat,Mat*);
1216 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat,Mat*);
1217 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1218 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1219 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1220 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1221 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1222 
1223 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat,PetscInt*);
1224 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat,PetscInt);
1225 PETSC_DEPRECATED_FUNCTION("Use MatDenseSetLDA() (since version 3.14)") static inline PetscErrorCode MatSeqDenseSetLDA(Mat A,PetscInt lda) {return MatDenseSetLDA(A,lda);}
1226 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1227 
1228 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1229 
1230 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1231 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1232 
1233 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1234 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1235 /*
1236   These routines are not usually accessed directly, rather solving is
1237   done through the KSP and PC interfaces.
1238 */
1239 
1240 /*J
1241     MatOrderingType - String with the name of a PETSc matrix ordering
1242 
1243    Level: beginner
1244 
1245    Notes:
1246       If MATORDERINGEXTERNAL is used then PETSc does not compute an ordering and utilizes one built into the factorization package
1247 
1248 .seealso: `MatGetOrdering()`
1249 J*/
1250 typedef const char* MatOrderingType;
1251 #define MATORDERINGNATURAL        "natural"
1252 #define MATORDERINGND             "nd"
1253 #define MATORDERING1WD            "1wd"
1254 #define MATORDERINGRCM            "rcm"
1255 #define MATORDERINGQMD            "qmd"
1256 #define MATORDERINGROWLENGTH      "rowlength"
1257 #define MATORDERINGWBM            "wbm"
1258 #define MATORDERINGSPECTRAL       "spectral"
1259 #define MATORDERINGAMD            "amd"            /* only works if UMFPACK is installed with PETSc */
1260 #define MATORDERINGMETISND        "metisnd"        /* only works if METIS is installed with PETSc */
1261 #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 */
1262 #define MATORDERINGEXTERNAL       "external"       /* uses an ordering type internal to the factorization package */
1263 
1264 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1265 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1266 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1267 PETSC_EXTERN PetscFunctionList MatOrderingList;
1268 
1269 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1270 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1271 
1272 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat,MatFactorType,MatOrderingType*);
1273 
1274 /*S
1275     MatFactorShiftType - Numeric Shift for factorizations
1276 
1277    Level: beginner
1278 
1279 .seealso: `MatGetFactor()`
1280 S*/
1281 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1282 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1283 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1284 
1285 /*S
1286     MatFactorError - indicates what type of error was generated in a matrix factorization
1287 
1288     Level: beginner
1289 
1290     Developer Notes:
1291     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1292 
1293 .seealso: `MatGetFactor()`
1294 S*/
1295 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1296 
1297 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1298 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1299 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1300 
1301 /*S
1302    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1303 
1304    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1305 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1306 
1307    Notes:
1308     These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1309 
1310       You can use MatFactorInfoInitialize() to set default values.
1311 
1312    Level: developer
1313 
1314 .seealso: `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`, `MatICCFactorSymbolic()`, `MatICCFactor()`,
1315           `MatFactorInfoInitialize()`
1316 
1317 S*/
1318 typedef struct {
1319   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1320   PetscReal     usedt;
1321   PetscReal     dt;             /* drop tolerance */
1322   PetscReal     dtcol;          /* tolerance for pivoting */
1323   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1324   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1325   PetscReal     levels;         /* ICC/ILU(levels) */
1326   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1327                                    factorization may be faster if do not pivot */
1328   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1329   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1330   PetscReal     shiftamount;     /* how large the shift is */
1331 } MatFactorInfo;
1332 
1333 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1334 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1335 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1336 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1337 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1338 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1339 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1340 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1341 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1342 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1343 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1344 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat,IS,const MatFactorInfo*);
1345 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1346 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat,Mat,const MatFactorInfo*);
1347 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1348 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1349 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1350 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1351 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1352 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1353 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1354 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1355 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1356 
1357 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1358 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1359 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1360 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1361 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1362 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1363 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1364 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1365 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1366 
1367 PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1368 /*E
1369     MatSORType - What type of (S)SOR to perform
1370 
1371     Level: beginner
1372 
1373    May be bitwise ORd together
1374 
1375    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1376 
1377    MatSORType may be bitwise ORd together, so do not change the numbers
1378 
1379 .seealso: `MatSOR()`
1380 E*/
1381 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1382               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1383               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1384               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1385 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1386 
1387 /*
1388     These routines are for efficiently computing Jacobians via finite differences.
1389 */
1390 
1391 /*S
1392      MatColoring - Object for managing the coloring of matrices.
1393 
1394    Level: beginner
1395 
1396     Notes:
1397        Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the MatColoring object or from the mesh from which the
1398        matrix comes from via DMCreateColoring(). In general using the mesh produces a more optimal coloring (fewer colors).
1399 
1400        Once a coloring is available MatFDColoringCreate() creates an object that can be used to efficiently compute Jacobians using that coloring. This
1401        same object can also be used to efficiently convert data created by Automatic Differentation tools to PETSc sparse matrices.
1402 
1403 .seealso: `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`, `MatOrdering`, `MatPartitioning`, `MatColoringType`
1404 S*/
1405 typedef struct _p_MatColoring* MatColoring;
1406 
1407 /*J
1408     MatColoringType - String with the name of a PETSc matrix coloring
1409 
1410    Level: beginner
1411 
1412 .seealso: `MatColoringSetType()`, `MatColoring`
1413 J*/
1414 typedef const  char*           MatColoringType;
1415 #define MATCOLORINGJP      "jp"
1416 #define MATCOLORINGPOWER   "power"
1417 #define MATCOLORINGNATURAL "natural"
1418 #define MATCOLORINGSL      "sl"
1419 #define MATCOLORINGLF      "lf"
1420 #define MATCOLORINGID      "id"
1421 #define MATCOLORINGGREEDY  "greedy"
1422 
1423 /*E
1424    MatColoringWeightType - Type of weight scheme
1425 
1426     Not Collective
1427 
1428 +   MAT_COLORING_RANDOM  - Random weights
1429 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1430 -   MAT_COLORING_LF      - Last-first weighting.
1431 
1432     Level: intermediate
1433 
1434    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1435 
1436 .seealso: `MatColoring`, `MatColoringCreate()`
1437 E*/
1438 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1439 
1440 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1441 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1442 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1443 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1444 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1445 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1446 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1447 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1448 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1449 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1450 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1451 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1452 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1453 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1454 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1455 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1456 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring,ISColoring);
1457 PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring,ISColoring iscoloring) {return MatColoringTest(matcoloring,iscoloring);}
1458 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat,ISColoring);
1459 
1460 /*S
1461      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1462         and coloring
1463 
1464    Level: beginner
1465 
1466    Notes:
1467       This object is creating utilizing a coloring provided by the MatColoring object or DMCreateColoring()
1468 
1469 .seealso: `MatFDColoringCreate()`, `MatColoring`, `DMCreateColoring()`
1470 S*/
1471 typedef struct _p_MatFDColoring* MatFDColoring;
1472 
1473 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1474 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1475 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1476 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1477 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1478 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1479 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1480 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1481 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1482 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1483 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1484 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1485 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat,MatFDColoring,const PetscScalar*);
1486 
1487 /*S
1488      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1489 
1490    Level: beginner
1491 
1492 .seealso: `MatTransposeColoringCreate()`
1493 S*/
1494 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1495 
1496 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1497 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1498 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1499 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1500 
1501 /*
1502     These routines are for partitioning matrices: currently used only
1503   for adjacency matrix, MatCreateMPIAdj().
1504 */
1505 
1506 /*S
1507      MatPartitioning - Object for managing the partitioning of a matrix or graph
1508 
1509    Level: beginner
1510 
1511    Notes:
1512      There is also a PetscPartitioner object that provides the same functionality. It can utilize the MatPartitioning operations
1513      via PetscPartitionerSetType(p,PETSCPARTITIONERMATPARTITIONING)
1514 
1515    Developers Note:
1516      It is an extra maintainance and documentation cost to have two objects with the same functionality.
1517 
1518 .seealso: `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`
1519 S*/
1520 typedef struct _p_MatPartitioning* MatPartitioning;
1521 
1522 /*J
1523     MatPartitioningType - String with the name of a PETSc matrix partitioning
1524 
1525    Level: beginner
1526 dm
1527 .seealso: `MatPartitioningCreate()`, `MatPartitioning`
1528 J*/
1529 typedef const char* MatPartitioningType;
1530 #define MATPARTITIONINGCURRENT  "current"
1531 #define MATPARTITIONINGAVERAGE   "average"
1532 #define MATPARTITIONINGSQUARE   "square"
1533 #define MATPARTITIONINGPARMETIS "parmetis"
1534 #define MATPARTITIONINGCHACO    "chaco"
1535 #define MATPARTITIONINGPARTY    "party"
1536 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1537 #define MATPARTITIONINGHIERARCH  "hierarch"
1538 
1539 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1540 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1541 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1542 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1543 PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning,PetscInt);
1544 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1545 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1546 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning,PetscBool);
1547 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning,PetscBool*);
1548 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1549 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning,IS*);
1550 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning,IS);
1551 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning,IS*);
1552 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1553 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1554 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1555 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning,PetscObject,const char[]);
1556 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1557 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1558 
1559 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1560 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1561 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1562 
1563 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1564 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1565 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1566 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1567 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1568 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1569 
1570 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1571 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1572 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1573 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1574 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1575 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1576 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1577 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1578 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1579 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1580 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1581 
1582 #define MP_PARTY_OPT "opt"
1583 #define MP_PARTY_LIN "lin"
1584 #define MP_PARTY_SCA "sca"
1585 #define MP_PARTY_RAN "ran"
1586 #define MP_PARTY_GBF "gbf"
1587 #define MP_PARTY_GCF "gcf"
1588 #define MP_PARTY_BUB "bub"
1589 #define MP_PARTY_DEF "def"
1590 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1591 #define MP_PARTY_HELPFUL_SETS "hs"
1592 #define MP_PARTY_KERNIGHAN_LIN "kl"
1593 #define MP_PARTY_NONE "no"
1594 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1595 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1596 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1597 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1598 
1599 typedef enum { MP_PTSCOTCH_DEFAULT,MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1600 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1601 
1602 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1603 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1604 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1605 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1606 
1607 /*
1608  * hierarchical partitioning
1609  */
1610 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1611 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1612 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1613 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1614 
1615 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1616 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1617 
1618 /*
1619     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1620     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1621 */
1622 typedef enum { MATOP_SET_VALUES=0,
1623                MATOP_GET_ROW=1,
1624                MATOP_RESTORE_ROW=2,
1625                MATOP_MULT=3,
1626                MATOP_MULT_ADD=4,
1627                MATOP_MULT_TRANSPOSE=5,
1628                MATOP_MULT_TRANSPOSE_ADD=6,
1629                MATOP_SOLVE=7,
1630                MATOP_SOLVE_ADD=8,
1631                MATOP_SOLVE_TRANSPOSE=9,
1632                MATOP_SOLVE_TRANSPOSE_ADD=10,
1633                MATOP_LUFACTOR=11,
1634                MATOP_CHOLESKYFACTOR=12,
1635                MATOP_SOR=13,
1636                MATOP_TRANSPOSE=14,
1637                MATOP_GETINFO=15,
1638                MATOP_EQUAL=16,
1639                MATOP_GET_DIAGONAL=17,
1640                MATOP_DIAGONAL_SCALE=18,
1641                MATOP_NORM=19,
1642                MATOP_ASSEMBLY_BEGIN=20,
1643                MATOP_ASSEMBLY_END=21,
1644                MATOP_SET_OPTION=22,
1645                MATOP_ZERO_ENTRIES=23,
1646                MATOP_ZERO_ROWS=24,
1647                MATOP_LUFACTOR_SYMBOLIC=25,
1648                MATOP_LUFACTOR_NUMERIC=26,
1649                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1650                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1651                MATOP_SETUP=29,
1652                MATOP_ILUFACTOR_SYMBOLIC=30,
1653                MATOP_ICCFACTOR_SYMBOLIC=31,
1654                MATOP_GET_DIAGONAL_BLOCK=32,
1655                MATOP_SET_INF=33,
1656                MATOP_DUPLICATE=34,
1657                MATOP_FORWARD_SOLVE=35,
1658                MATOP_BACKWARD_SOLVE=36,
1659                MATOP_ILUFACTOR=37,
1660                MATOP_ICCFACTOR=38,
1661                MATOP_AXPY=39,
1662                MATOP_CREATE_SUBMATRICES=40,
1663                MATOP_INCREASE_OVERLAP=41,
1664                MATOP_GET_VALUES=42,
1665                MATOP_COPY=43,
1666                MATOP_GET_ROW_MAX=44,
1667                MATOP_SCALE=45,
1668                MATOP_SHIFT=46,
1669                MATOP_DIAGONAL_SET=47,
1670                MATOP_ZERO_ROWS_COLUMNS=48,
1671                MATOP_SET_RANDOM=49,
1672                MATOP_GET_ROW_IJ=50,
1673                MATOP_RESTORE_ROW_IJ=51,
1674                MATOP_GET_COLUMN_IJ=52,
1675                MATOP_RESTORE_COLUMN_IJ=53,
1676                MATOP_FDCOLORING_CREATE=54,
1677                MATOP_COLORING_PATCH=55,
1678                MATOP_SET_UNFACTORED=56,
1679                MATOP_PERMUTE=57,
1680                MATOP_SET_VALUES_BLOCKED=58,
1681                MATOP_CREATE_SUBMATRIX=59,
1682                MATOP_DESTROY=60,
1683                MATOP_VIEW=61,
1684                MATOP_CONVERT_FROM=62,
1685                /* MATOP_PLACEHOLDER_63=63 */
1686                MATOP_MATMAT_MULT_SYMBOLIC=64,
1687                MATOP_MATMAT_MULT_NUMERIC=65,
1688                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1689                MATOP_SET_VALUES_LOCAL=67,
1690                MATOP_ZERO_ROWS_LOCAL=68,
1691                MATOP_GET_ROW_MAX_ABS=69,
1692                MATOP_GET_ROW_MIN_ABS=70,
1693                MATOP_CONVERT=71,
1694                MATOP_HAS_OPERATION=72,
1695                /* MATOP_PLACEHOLDER_73=73, */
1696                MATOP_SET_VALUES_ADIFOR=74,
1697                MATOP_FD_COLORING_APPLY=75,
1698                MATOP_SET_FROM_OPTIONS=76,
1699                /* MATOP_PLACEHOLDER_77=77, */
1700                /* MATOP_PLACEHOLDER_78=78, */
1701                MATOP_FIND_ZERO_DIAGONALS=79,
1702                MATOP_MULT_MULTIPLE=80,
1703                MATOP_SOLVE_MULTIPLE=81,
1704                MATOP_GET_INERTIA=82,
1705                MATOP_LOAD=83,
1706                MATOP_IS_SYMMETRIC=84,
1707                MATOP_IS_HERMITIAN=85,
1708                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1709                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1710                MATOP_CREATE_VECS=88,
1711                /* MATOP_PLACEHOLDER_89=89, */
1712                MATOP_MAT_MULT_SYMBOLIC=90,
1713                MATOP_MAT_MULT_NUMERIC=91,
1714                /* MATOP_PLACEHOLDER_92=92, */
1715                MATOP_PTAP_SYMBOLIC=93,
1716                MATOP_PTAP_NUMERIC=94,
1717                /* MATOP_PLACEHOLDER_95=95, */
1718                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1719                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1720                MATOP_BIND_TO_CPU=98,
1721                MATOP_PRODUCTSETFROMOPTIONS=99,
1722                MATOP_PRODUCTSYMBOLIC=100,
1723                MATOP_PRODUCTNUMERIC=101,
1724                MATOP_CONJUGATE=102,
1725                MATOP_VIEW_NATIVE=103,
1726                MATOP_SET_VALUES_ROW=104,
1727                MATOP_REAL_PART=105,
1728                MATOP_IMAGINARY_PART=106,
1729                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1730                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1731                MATOP_MAT_SOLVE=109,
1732                MATOP_MAT_SOLVE_TRANSPOSE=110,
1733                MATOP_GET_ROW_MIN=111,
1734                MATOP_GET_COLUMN_VECTOR=112,
1735                MATOP_MISSING_DIAGONAL=113,
1736                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1737                MATOP_CREATE=115,
1738                MATOP_GET_GHOSTS=116,
1739                MATOP_GET_LOCAL_SUB_MATRIX=117,
1740                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1741                MATOP_MULT_DIAGONAL_BLOCK=119,
1742                MATOP_HERMITIAN_TRANSPOSE=120,
1743                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1744                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1745                MATOP_GET_MULTI_PROC_BLOCK=123,
1746                MATOP_FIND_NONZERO_ROWS=124,
1747                MATOP_GET_COLUMN_NORMS=125,
1748                MATOP_INVERT_BLOCK_DIAGONAL=126,
1749                MATOP_INVERT_VBLOCK_DIAGONAL=127,
1750                MATOP_CREATE_SUB_MATRICES_MPI=128,
1751                MATOP_SET_VALUES_BATCH=129,
1752                /* MATOP_PLACEHOLDER_130=130, */
1753                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1754                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1755                MATOP_TRANSPOSE_COLORING_CREAT=133,
1756                MATOP_TRANS_COLORING_APPLY_SPT=134,
1757                MATOP_TRANS_COLORING_APPLY_DEN=135,
1758                /* MATOP_PLACEHOLDER_136=136, */
1759                MATOP_RART_SYMBOLIC=137,
1760                MATOP_RART_NUMERIC=138,
1761                MATOP_SET_BLOCK_SIZES=139,
1762                MATOP_AYPX=140,
1763                MATOP_RESIDUAL=141,
1764                MATOP_FDCOLORING_SETUP=142,
1765                MATOP_FIND_OFFBLOCK_ENTRIES=143,
1766                MATOP_MPICONCATENATESEQ=144,
1767                MATOP_DESTROYSUBMATRICES=145,
1768                MATOP_TRANSPOSE_SOLVE=146,
1769                MATOP_GET_VALUES_LOCAL=147
1770              } MatOperation;
1771 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat,MatOperation,void(*)(void));
1772 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat,MatOperation,void(**)(void));
1773 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool*);
1774 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat,PetscBool*);
1775 PETSC_DEPRECATED_FUNCTION("Use MatProductClear() (since version 3.14)") static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A) {return MatProductClear(A);}
1776 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1777 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1778 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1779 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat,VecType);
1780 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1781 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1782 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1783 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat,MatProductType,PetscErrorCode (*)(Mat,Mat,Mat,void**),PetscErrorCode (*)(Mat,Mat,Mat,void*),PetscErrorCode (*)(void*),MatType,MatType);
1784 PETSC_EXTERN PetscErrorCode MatIsShell(Mat,PetscBool*);
1785 
1786 /*
1787    Codes for matrices stored on disk. By default they are
1788    stored in a universal format. By changing the format with
1789    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1790    be stored in a way natural for the matrix, for example dense matrices
1791    would be stored as dense. Matrices stored this way may only be
1792    read into matrices of the same type.
1793 */
1794 #define MATRIX_BINARY_FORMAT_DENSE -1
1795 
1796 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1797 
1798 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat,MatType);
1799 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1800 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat,PetscBool);
1801 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat,PetscBool);
1802 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1803 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1804 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1805 PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
1806 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1807 
1808 /*S
1809      MatNullSpace - Object that removes a null space from a vector, i.e.
1810          orthogonalizes the vector to a subspace
1811 
1812    Level: advanced
1813 
1814 .seealso: `MatNullSpaceCreate()`
1815 S*/
1816 typedef struct _p_MatNullSpace* MatNullSpace;
1817 
1818 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1819 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1820 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1821 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1822 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1823 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1824 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1825 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1826 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1827 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1828 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1829 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1830 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1831 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1832 
1833 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1834 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1835 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1836 
1837 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1838 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1839 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1840 
1841 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat,MatType,Mat*);
1842 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat,MatType,Mat*);
1843 
1844 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperator(Mat A,Mat* B) { return MatComputeOperator(A,NULL,B); }
1845 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A,Mat* B) { return MatComputeOperatorTranspose(A,NULL,B); }
1846 
1847 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat,PetscInt,PetscInt,const PetscScalar[],const PetscScalar[],Mat*);
1848 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat,Mat*);
1849 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat,PetscInt*,PetscInt*,PetscScalar**);
1850 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1851 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat,PetscScalar**);
1852 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat,const PetscScalar**);
1853 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat,PetscInt*,PetscInt*,PetscScalar**);
1854 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1855 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat,PetscScalar**);
1856 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat,const PetscScalar**);
1857 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat,Mat);
1858 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat,PetscInt,PetscInt,const PetscScalar[]);
1859 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat,PetscInt,PetscInt,const PetscScalar[]);
1860 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat,PetscBool*);
1861 
1862 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1863 
1864 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1865 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1866 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1867 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1868 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1869 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1870 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1871 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1872 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1873 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1874 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1875 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1876 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1877 
1878 /*S
1879     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1880               Jacobian vector products
1881 
1882     Notes:
1883     MATMFFD is a specific MatType which uses the MatMFFD data structure
1884 
1885            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1886 
1887     Level: developer
1888 
1889 .seealso: `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`
1890 S*/
1891 typedef struct _p_MatMFFD* MatMFFD;
1892 
1893 /*J
1894     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1895 
1896    Level: beginner
1897 
1898 .seealso: `MatMFFDSetType()`, `MatMFFDRegister()`
1899 J*/
1900 typedef const char* MatMFFDType;
1901 #define MATMFFD_DS  "ds"
1902 #define MATMFFD_WP  "wp"
1903 
1904 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1905 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1906 
1907 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1908 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool);
1909 
1910 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1911 
1912 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1913 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1914 
1915 #ifdef PETSC_HAVE_H2OPUS
1916 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatH2OpusKernel)(PetscInt,PetscReal[],PetscReal[],void*);
1917 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscReal[],PetscBool,MatH2OpusKernel,void*,PetscReal,PetscInt,PetscInt,Mat*);
1918 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat,PetscInt,const PetscReal[],PetscBool,PetscReal,PetscInt,PetscInt,PetscInt,PetscReal,Mat*);
1919 PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat,Mat,PetscInt,PetscReal);
1920 PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
1921 PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat,PetscReal);
1922 PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat,PetscBool);
1923 PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat,PetscBool*);
1924 PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat,IS*);
1925 PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat,PetscBool,Vec,Vec*);
1926 PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat,Mat,Mat,PetscScalar);
1927 #endif
1928 
1929 #ifdef PETSC_HAVE_HTOOL
1930 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatHtoolKernel)(PetscInt,PetscInt,PetscInt,const PetscInt*,const PetscInt*,PetscScalar*,void*);
1931 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscReal[],const PetscReal[],MatHtoolKernel,void*,Mat*);
1932 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat,MatHtoolKernel,void*);
1933 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat,IS*);
1934 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat,IS*);
1935 PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat,PetscBool);
1936 /*E
1937      MatHtoolCompressorType - Indicates the type of compressor used by a MATHTOOL
1938 
1939    Level: beginner
1940 
1941     Values:
1942 +   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA (default) - symmetric partial adaptive cross approximation
1943 .   MAT_HTOOL_COMPRESSOR_FULL_ACA - full adaptive cross approximation
1944 -   MAT_HTOOL_COMPRESSOR_SVD - singular value decomposition
1945 
1946 .seealso: `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
1947 E*/
1948 typedef enum { MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA, MAT_HTOOL_COMPRESSOR_FULL_ACA, MAT_HTOOL_COMPRESSOR_SVD } MatHtoolCompressorType;
1949 /*E
1950      MatHtoolClusteringType - Indicates the type of clustering used by a MATHTOOL
1951 
1952    Level: beginner
1953 
1954     Values:
1955 +   MAT_HTOOL_CLUSTERING_PCA_REGULAR (default) - axis computed via principle component analysis, split uniformly
1956 .   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC - axis computed via principle component analysis, split barycentrically
1957 .   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR - axis along the largest extent of the bounding box, split uniformly
1958 -   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC - axis along the largest extent of the bounding box, split barycentrically
1959 
1960     Notes: higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
1961 
1962 .seealso: `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
1963 E*/
1964 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;
1965 #endif
1966 
1967 /*
1968    PETSc interface to MUMPS
1969 */
1970 #ifdef PETSC_HAVE_MUMPS
1971 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1972 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1973 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1974 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1975 
1976 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1977 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1978 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1979 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1980 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat,Mat);
1981 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat,Mat);
1982 #endif
1983 
1984 /*
1985    PETSc interface to Mkl_Pardiso
1986 */
1987 #ifdef PETSC_HAVE_MKL_PARDISO
1988 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1989 #endif
1990 
1991 /*
1992    PETSc interface to Mkl_CPardiso
1993 */
1994 #ifdef PETSC_HAVE_MKL_CPARDISO
1995 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1996 #endif
1997 
1998 /*
1999    PETSc interface to SUPERLU
2000 */
2001 #ifdef PETSC_HAVE_SUPERLU
2002 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
2003 #endif
2004 
2005 /*
2006    PETSc interface to SUPERLU_DIST
2007 */
2008 #ifdef PETSC_HAVE_SUPERLU_DIST
2009 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
2010 #endif
2011 
2012 /*
2013    PETSc interface to STRUMPACK
2014 */
2015 #ifdef PETSC_HAVE_STRUMPACK
2016 /*E
2017     MatSTRUMPACKReordering - sparsity reducing ordering to be used in STRUMPACK
2018 
2019     Level: intermediate
2020 E*/
2021 typedef enum {MAT_STRUMPACK_NATURAL=0,
2022               MAT_STRUMPACK_METIS=1,
2023               MAT_STRUMPACK_PARMETIS=2,
2024               MAT_STRUMPACK_SCOTCH=3,
2025               MAT_STRUMPACK_PTSCOTCH=4,
2026               MAT_STRUMPACK_RCM=5} MatSTRUMPACKReordering;
2027 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat,MatSTRUMPACKReordering);
2028 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
2029 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat,PetscReal);
2030 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat,PetscReal rtol) {return MatSTRUMPACKSetHSSRelTol(mat,rtol);}
2031 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat,PetscReal);
2032 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat,PetscInt);
2033 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat,PetscInt hssminsize) {return MatSTRUMPACKSetHSSMinSepSize(mat,hssminsize);}
2034 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat,PetscInt);
2035 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat,PetscInt);
2036 #endif
2037 
2038 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat,PetscBool);
2039 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat,PetscBool*);
2040 PETSC_DEPRECATED_FUNCTION("Use MatBindToCPU (since v3.13)") static inline PetscErrorCode MatPinToCPU(Mat A,PetscBool flg) {return MatBindToCPU(A,flg);}
2041 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat,PetscBool);
2042 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat,PetscBool *);
2043 
2044 typedef struct _n_SplitCSRMat *PetscSplitCSRDataStructure;
2045 PETSC_EXTERN PetscErrorCode MatCUSPARSEGetDeviceMatWrite(Mat,PetscSplitCSRDataStructure*);
2046 
2047 #ifdef PETSC_HAVE_KOKKOS_KERNELS
2048 PETSC_EXTERN PetscErrorCode MatKokkosGetDeviceMatWrite(Mat,PetscSplitCSRDataStructure*);
2049 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosSetDeviceMat(Mat,PetscSplitCSRDataStructure);
2050 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosGetDeviceMat(Mat,PetscSplitCSRDataStructure*);
2051 #endif
2052 
2053 #ifdef PETSC_HAVE_CUDA
2054 /*E
2055     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
2056     matrices.
2057 
2058     Not Collective
2059 
2060 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
2061 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
2062 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2063 
2064     Level: intermediate
2065 
2066    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
2067 
2068 .seealso: `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2069 E*/
2070 
2071 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
2072 
2073 /* these will be strings associated with enumerated type defined above */
2074 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2075 
2076 /*E
2077     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
2078     matrices whose operation should use a particular storage format.
2079 
2080     Not Collective
2081 
2082 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
2083 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
2084 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
2085 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
2086 
2087     Level: intermediate
2088 
2089 .seealso: `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2090 E*/
2091 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
2092 
2093 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
2094 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
2095 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
2096 PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat,PetscBool);
2097 typedef struct Mat_SeqAIJCUSPARSETriFactors* Mat_SeqAIJCUSPARSETriFactors_p;
2098 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat,PetscBool,const int**,const int**);
2099 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat,PetscBool,const int**,const int**);
2100 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat,const PetscScalar**);
2101 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat,const PetscScalar**);
2102 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat,PetscScalar**);
2103 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat,PetscScalar**);
2104 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat,PetscScalar**);
2105 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat,PetscScalar**);
2106 
2107 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
2108 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
2109 PETSC_EXTERN PetscErrorCode MatMPIDenseCUDASetPreallocation(Mat,PetscScalar[]);
2110 PETSC_EXTERN PetscErrorCode MatSeqDenseCUDASetPreallocation(Mat,PetscScalar[]);
2111 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat,PetscScalar**);
2112 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat,const PetscScalar**);
2113 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat,PetscScalar**);
2114 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat,PetscScalar**);
2115 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat,const PetscScalar**);
2116 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat,PetscScalar**);
2117 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat,const PetscScalar*);
2118 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat,const PetscScalar*);
2119 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2120 
2121 #endif
2122 
2123 #if defined(PETSC_HAVE_VIENNACL)
2124 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
2125 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
2126 #endif
2127 
2128 /*
2129    PETSc interface to FFTW
2130 */
2131 #if defined(PETSC_HAVE_FFTW)
2132 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
2133 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
2134 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
2135 #endif
2136 
2137 #if defined(PETSC_HAVE_SCALAPACK)
2138 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
2139 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat,PetscInt,PetscInt);
2140 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat,PetscInt*,PetscInt*);
2141 #endif
2142 
2143 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
2144 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
2145 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
2146 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
2147 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
2148 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
2149 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
2150 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
2151 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
2152 
2153 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
2154 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
2155 
2156 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
2157 
2158 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
2159 
2160 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
2161 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
2162 
2163 PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat,const PetscInt**,const PetscInt**,PetscScalar**,PetscMemType*);
2164 
2165 PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat,PetscBool,PetscBool,Mat*);
2166 PETSC_EXTERN PetscErrorCode MatFilter(Mat,PetscReal,Mat*);
2167 
2168 #endif
2169