xref: /petsc/include/petscmat.h (revision 2d1451d43b73a0495cd81c074cbc1e0206888947)
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    Note:
18    See [](doc_matrix) and `MatType` for available matrix types
19 
20 .seealso: [](chapter_matrices), [](doc_matrix), `MatCreate()`, `MatType`, `MatSetType()`, `MatDestroy()`
21 S*/
22 typedef struct _p_Mat *Mat;
23 
24 /*J
25     MatType - String with the name of a PETSc matrix type
26 
27    Level: beginner
28 
29    Note:
30    [](doc_matrix) for a table of available matrix types
31 
32 .seealso: [](chapter_matrices), `MatSetType()`, `Mat`, `MatSolverType`, `MatRegister()`
33 J*/
34 typedef const char *MatType;
35 #define MATSAME                      "same"
36 #define MATMAIJ                      "maij"
37 #define MATSEQMAIJ                   "seqmaij"
38 #define MATMPIMAIJ                   "mpimaij"
39 #define MATKAIJ                      "kaij"
40 #define MATSEQKAIJ                   "seqkaij"
41 #define MATMPIKAIJ                   "mpikaij"
42 #define MATIS                        "is"
43 #define MATAIJ                       "aij"
44 #define MATSEQAIJ                    "seqaij"
45 #define MATMPIAIJ                    "mpiaij"
46 #define MATAIJCRL                    "aijcrl"
47 #define MATSEQAIJCRL                 "seqaijcrl"
48 #define MATMPIAIJCRL                 "mpiaijcrl"
49 #define MATAIJCUSPARSE               "aijcusparse"
50 #define MATSEQAIJCUSPARSE            "seqaijcusparse"
51 #define MATMPIAIJCUSPARSE            "mpiaijcusparse"
52 #define MATAIJHIPSPARSE              "aijhipsparse"
53 #define MATSEQAIJHIPSPARSE           "seqaijhipsparse"
54 #define MATMPIAIJHIPSPARSE           "mpiaijhipsparse"
55 #define MATAIJKOKKOS                 "aijkokkos"
56 #define MATSEQAIJKOKKOS              "seqaijkokkos"
57 #define MATMPIAIJKOKKOS              "mpiaijkokkos"
58 #define MATAIJVIENNACL               "aijviennacl"
59 #define MATSEQAIJVIENNACL            "seqaijviennacl"
60 #define MATMPIAIJVIENNACL            "mpiaijviennacl"
61 #define MATAIJPERM                   "aijperm"
62 #define MATSEQAIJPERM                "seqaijperm"
63 #define MATMPIAIJPERM                "mpiaijperm"
64 #define MATAIJSELL                   "aijsell"
65 #define MATSEQAIJSELL                "seqaijsell"
66 #define MATMPIAIJSELL                "mpiaijsell"
67 #define MATAIJMKL                    "aijmkl"
68 #define MATSEQAIJMKL                 "seqaijmkl"
69 #define MATMPIAIJMKL                 "mpiaijmkl"
70 #define MATBAIJMKL                   "baijmkl"
71 #define MATSEQBAIJMKL                "seqbaijmkl"
72 #define MATMPIBAIJMKL                "mpibaijmkl"
73 #define MATSHELL                     "shell"
74 #define MATCENTERING                 "centering"
75 #define MATDENSE                     "dense"
76 #define MATDENSECUDA                 "densecuda"
77 #define MATDENSEHIP                  "densehip"
78 #define MATSEQDENSE                  "seqdense"
79 #define MATSEQDENSECUDA              "seqdensecuda"
80 #define MATSEQDENSEHIP               "seqdensehip"
81 #define MATMPIDENSE                  "mpidense"
82 #define MATMPIDENSECUDA              "mpidensecuda"
83 #define MATMPIDENSEHIP               "mpidensehip"
84 #define MATELEMENTAL                 "elemental"
85 #define MATSCALAPACK                 "scalapack"
86 #define MATBAIJ                      "baij"
87 #define MATSEQBAIJ                   "seqbaij"
88 #define MATMPIBAIJ                   "mpibaij"
89 #define MATMPIADJ                    "mpiadj"
90 #define MATSBAIJ                     "sbaij"
91 #define MATSEQSBAIJ                  "seqsbaij"
92 #define MATMPISBAIJ                  "mpisbaij"
93 #define MATMFFD                      "mffd"
94 #define MATNORMAL                    "normal"
95 #define MATNORMALHERMITIAN           "normalh"
96 #define MATLRC                       "lrc"
97 #define MATSCATTER                   "scatter"
98 #define MATBLOCKMAT                  "blockmat"
99 #define MATCOMPOSITE                 "composite"
100 #define MATFFT                       "fft"
101 #define MATFFTW                      "fftw"
102 #define MATSEQCUFFT                  "seqcufft"
103 #define MATSEQHIPFFT                 "seqhipfft"
104 #define MATTRANSPOSEMAT              PETSC_DEPRECATED_MACRO("GCC warning \"MATTRANSPOSEMAT macro is deprecated use MATTRANSPOSEVIRTUAL (since version 3.18)\"") "transpose"
105 #define MATTRANSPOSEVIRTUAL          "transpose"
106 #define MATHERMITIANTRANSPOSEVIRTUAL "hermitiantranspose"
107 #define MATSCHURCOMPLEMENT           "schurcomplement"
108 #define MATPYTHON                    "python"
109 #define MATHYPRE                     "hypre"
110 #define MATHYPRESTRUCT               "hyprestruct"
111 #define MATHYPRESSTRUCT              "hypresstruct"
112 #define MATSUBMATRIX                 "submatrix"
113 #define MATLOCALREF                  "localref"
114 #define MATNEST                      "nest"
115 #define MATPREALLOCATOR              "preallocator"
116 #define MATSELL                      "sell"
117 #define MATSEQSELL                   "seqsell"
118 #define MATMPISELL                   "mpisell"
119 #define MATSELLCUDA                  "sellcuda"
120 #define MATSEQSELLCUDA               "seqsellcuda"
121 #define MATMPISELLCUDA               "mpisellcuda"
122 #define MATDUMMY                     "dummy"
123 #define MATLMVM                      "lmvm"
124 #define MATLMVMDFP                   "lmvmdfp"
125 #define MATLMVMBFGS                  "lmvmbfgs"
126 #define MATLMVMSR1                   "lmvmsr1"
127 #define MATLMVMBROYDEN               "lmvmbroyden"
128 #define MATLMVMBADBROYDEN            "lmvmbadbroyden"
129 #define MATLMVMSYMBROYDEN            "lmvmsymbroyden"
130 #define MATLMVMSYMBADBROYDEN         "lmvmsymbadbroyden"
131 #define MATLMVMDIAGBROYDEN           "lmvmdiagbroyden"
132 #define MATCONSTANTDIAGONAL          "constantdiagonal"
133 #define MATHTOOL                     "htool"
134 #define MATH2OPUS                    "h2opus"
135 
136 /*J
137     MatSolverType - String with the name of a PETSc matrix solver type.
138 
139     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
140 
141    Level: beginner
142 
143    Note:
144    `MATSOLVERUMFPACK`, `MATSOLVERCHOLMOD`, `MATSOLVERKLU`, `MATSOLVERSPQR` form the SuiteSparse package for which you can use --download-suitesparse
145 
146 .seealso: [](sec_matfactor), [](chapter_matrices), `MatGetFactor()`, `PCFactorSetMatSolverType()`, `PCFactorGetMatSolverType()`
147 J*/
148 typedef const char *MatSolverType;
149 #define MATSOLVERSUPERLU       "superlu"
150 #define MATSOLVERSUPERLU_DIST  "superlu_dist"
151 #define MATSOLVERSTRUMPACK     "strumpack"
152 #define MATSOLVERUMFPACK       "umfpack"
153 #define MATSOLVERCHOLMOD       "cholmod"
154 #define MATSOLVERKLU           "klu"
155 #define MATSOLVERELEMENTAL     "elemental"
156 #define MATSOLVERSCALAPACK     "scalapack"
157 #define MATSOLVERESSL          "essl"
158 #define MATSOLVERLUSOL         "lusol"
159 #define MATSOLVERMUMPS         "mumps"
160 #define MATSOLVERMKL_PARDISO   "mkl_pardiso"
161 #define MATSOLVERMKL_CPARDISO  "mkl_cpardiso"
162 #define MATSOLVERPASTIX        "pastix"
163 #define MATSOLVERMATLAB        "matlab"
164 #define MATSOLVERPETSC         "petsc"
165 #define MATSOLVERBAS           "bas"
166 #define MATSOLVERCUSPARSE      "cusparse"
167 #define MATSOLVERCUSPARSEBAND  "cusparseband"
168 #define MATSOLVERCUDA          "cuda"
169 #define MATSOLVERHIPSPARSE     "hipsparse"
170 #define MATSOLVERHIPSPARSEBAND "hipsparseband"
171 #define MATSOLVERHIP           "hip"
172 #define MATSOLVERKOKKOS        "kokkos"
173 #define MATSOLVERKOKKOSDEVICE  "kokkosdevice"
174 #define MATSOLVERSPQR          "spqr"
175 
176 /*E
177     MatFactorType - indicates what type of factorization is requested
178 
179     Level: beginner
180 
181     Values:
182 +  `MAT_FACTOR_LU` - LU factorization
183 .  `MAT_FACTOR_CHOLESKY` - Cholesky factorization
184 .  `MAT_FACTOR_ILU` - ILU factorization
185 .  `MAT_FACTOR_ICC` - incomplete Cholesky factorization
186 .  `MAT_FACTOR_ILUDT` - ILU factorization with drop tolerance
187 -  `MAT_FACTOR_QR` - QR factorization
188 
189 .seealso: [](chapter_matrices), `MatSolverType`, `MatGetFactor()`, `MatGetFactorAvailable()`, `MatSolverTypeRegister()`
190 E*/
191 typedef enum {
192   MAT_FACTOR_NONE,
193   MAT_FACTOR_LU,
194   MAT_FACTOR_CHOLESKY,
195   MAT_FACTOR_ILU,
196   MAT_FACTOR_ICC,
197   MAT_FACTOR_ILUDT,
198   MAT_FACTOR_QR,
199   MAT_FACTOR_NUM_TYPES
200 } MatFactorType;
201 PETSC_EXTERN const char *const MatFactorTypes[];
202 
203 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat, MatSolverType, MatFactorType, Mat *);
204 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat, MatSolverType, MatFactorType, PetscBool *);
205 PETSC_EXTERN PetscErrorCode MatFactorGetCanUseOrdering(Mat, PetscBool *);
206 PETSC_DEPRECATED_FUNCTION("Use MatFactorGetCanUseOrdering() (since version 3.15)") static inline PetscErrorCode MatFactorGetUseOrdering(Mat A, PetscBool *b)
207 {
208   return MatFactorGetCanUseOrdering(A, b);
209 }
210 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat, MatSolverType *);
211 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat, MatFactorType *);
212 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat, MatFactorType);
213 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatSolverFunction)(Mat, MatFactorType, Mat *);
214 PETSC_EXTERN PetscErrorCode            MatSolverTypeRegister(MatSolverType, MatType, MatFactorType, MatSolverFunction);
215 PETSC_EXTERN PetscErrorCode            MatSolverTypeGet(MatSolverType, MatType, MatFactorType, PetscBool *, PetscBool *, MatSolverFunction *);
216 typedef MatSolverType MatSolverPackage PETSC_DEPRECATED_TYPEDEF("Use MatSolverType (since version 3.9)");
217 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeRegister() (since version 3.9)") static inline PetscErrorCode MatSolverPackageRegister(MatSolverType stype, MatType mtype, MatFactorType ftype, MatSolverFunction f)
218 {
219   return MatSolverTypeRegister(stype, mtype, ftype, f);
220 }
221 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)
222 {
223   return MatSolverTypeGet(stype, mtype, ftype, foundmtype, foundstype, f);
224 }
225 
226 /*E
227     MatProductType - indicates what type of matrix product is requested
228 
229     Level: beginner
230 
231     Values:
232 +  `MATPRODUCT_AB` - product of two matrices
233 .  `MATPRODUCT_AtB` - product of the transpose of a given matrix with a matrix
234 .  `MATPRODUCT_ABt` - product of a matrix with the transpose of another given matrix
235 .  `MATPRODUCT_PtAP` - the triple product of the transpose of a matrix with another matrix and itself
236 .  `MATPRODUCT_RARt` - the triple product of a matrix, another matrix and the transpose of the first matrix
237 -  `MATPRODUCT_ABC` - the product of three matrices
238 
239 .seealso: [](sec_matmatproduct), [](chapter_matrices), `MatProductSetType()`
240 E*/
241 typedef enum {
242   MATPRODUCT_UNSPECIFIED = 0,
243   MATPRODUCT_AB,
244   MATPRODUCT_AtB,
245   MATPRODUCT_ABt,
246   MATPRODUCT_PtAP,
247   MATPRODUCT_RARt,
248   MATPRODUCT_ABC
249 } MatProductType;
250 PETSC_EXTERN const char *const MatProductTypes[];
251 
252 /*J
253     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
254 
255    Level: beginner
256 
257 .seealso: [](sec_matmatproduct), [](chapter_matrices), `MatSetType()`, `Mat`, `MatProductSetAlgorithm()`, `MatProductType`
258 J*/
259 typedef const char *MatProductAlgorithm;
260 #define MATPRODUCTALGORITHMDEFAULT         "default"
261 #define MATPRODUCTALGORITHMSORTED          "sorted"
262 #define MATPRODUCTALGORITHMSCALABLE        "scalable"
263 #define MATPRODUCTALGORITHMSCALABLEFAST    "scalable_fast"
264 #define MATPRODUCTALGORITHMHEAP            "heap"
265 #define MATPRODUCTALGORITHMBHEAP           "btheap"
266 #define MATPRODUCTALGORITHMLLCONDENSED     "llcondensed"
267 #define MATPRODUCTALGORITHMROWMERGE        "rowmerge"
268 #define MATPRODUCTALGORITHMOUTERPRODUCT    "outerproduct"
269 #define MATPRODUCTALGORITHMATB             "at*b"
270 #define MATPRODUCTALGORITHMRAP             "rap"
271 #define MATPRODUCTALGORITHMNONSCALABLE     "nonscalable"
272 #define MATPRODUCTALGORITHMSEQMPI          "seqmpi"
273 #define MATPRODUCTALGORITHMBACKEND         "backend"
274 #define MATPRODUCTALGORITHMOVERLAPPING     "overlapping"
275 #define MATPRODUCTALGORITHMMERGED          "merged"
276 #define MATPRODUCTALGORITHMALLATONCE       "allatonce"
277 #define MATPRODUCTALGORITHMALLATONCEMERGED "allatonce_merged"
278 #define MATPRODUCTALGORITHMALLGATHERV      "allgatherv"
279 #define MATPRODUCTALGORITHMCYCLIC          "cyclic"
280 #if defined(PETSC_HAVE_HYPRE)
281   #define MATPRODUCTALGORITHMHYPRE "hypre"
282 #endif
283 
284 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat, Mat, Mat, Mat *);
285 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat, Mat, Mat, Mat);
286 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat, MatProductType);
287 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat, MatProductAlgorithm);
288 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat, PetscReal);
289 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
290 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
291 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
292 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat, Mat, Mat, Mat);
293 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
294 PETSC_EXTERN PetscErrorCode MatProductView(Mat, PetscViewer);
295 PETSC_EXTERN PetscErrorCode MatProductGetType(Mat, MatProductType *);
296 PETSC_EXTERN PetscErrorCode MatProductGetMats(Mat, Mat *, Mat *, Mat *);
297 
298 /* Logging support */
299 #define MAT_FILE_CLASSID 1211216 /* used to indicate matrices in binary files */
300 PETSC_EXTERN PetscClassId MAT_CLASSID;
301 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
302 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
303 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
304 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
305 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
306 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
307 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
308 
309 /*E
310     MatReuse - Indicates if matrices obtained from a previous call to `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatConvert()` or several other functions
311      are to be reused to store the new matrix values.
312 
313    Values:
314 +  `MAT_INITIAL_MATRIX` - create a new matrix
315 .  `MAT_REUSE_MATRIX` - reuse the matrix created with a previous call that used `MAT_INITIAL_MATRIX`
316 .  `MAT_INPLACE_MATRIX` - replace the first input matrix with the new matrix (not applicable to all functions)
317 -  `MAT_IGNORE_MATRIX` - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
318 
319     Level: beginner
320 
321 .seealso: [](chapter_matrices), `Mat`, `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatDestroyMatrices()`, `MatConvert()`
322 E*/
323 typedef enum {
324   MAT_INITIAL_MATRIX,
325   MAT_REUSE_MATRIX,
326   MAT_IGNORE_MATRIX,
327   MAT_INPLACE_MATRIX
328 } MatReuse;
329 
330 /*E
331     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to `MatCreateSubMatrices()`
332      include the matrix values. Currently it is only used by `MatGetSeqNonzeroStructure()`.
333 
334     Level: developer
335 
336     Values:
337 +  `MAT_DO_NOT_GET_VALUES` - do not copy the matrix values
338 -  `MAT_GET_VALUES` - copy the matrix values
339 
340     Developer Note:
341     Why is not just a boolean used for this information?
342 
343 .seealso: [](chapter_matrices), `Mat`, `MatDuplicateOption`, `PetscCopyMode`, `MatGetSeqNonzeroStructure()`
344 E*/
345 typedef enum {
346   MAT_DO_NOT_GET_VALUES,
347   MAT_GET_VALUES
348 } MatCreateSubMatrixOption;
349 
350 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
351 
352 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm, Mat *);
353 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat, PetscInt, PetscInt, PetscInt, PetscInt);
354 PETSC_EXTERN PetscErrorCode MatSetType(Mat, MatType);
355 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat, VecType *);
356 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat, VecType);
357 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
358 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat, PetscObject, const char[]);
359 PETSC_EXTERN PetscErrorCode MatRegister(const char[], PetscErrorCode (*)(Mat));
360 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[], const char[], const char[]);
361 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat, const char[]);
362 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefixFactor(Mat, const char[]);
363 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefixFactor(Mat, const char[]);
364 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat, const char[]);
365 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat, const char *[]);
366 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat, PetscBool);
367 
368 PETSC_EXTERN PetscFunctionList MatList;
369 PETSC_EXTERN PetscFunctionList MatColoringList;
370 PETSC_EXTERN PetscFunctionList MatPartitioningList;
371 
372 /*E
373     MatStructure - Indicates if two matrices have the same nonzero structure
374 
375     Level: beginner
376 
377    Values:
378 +  `SAME_NONZERO_PATTERN`  - the two matrices have identical nonzero patterns
379 .  `DIFFERENT_NONZERO_PATTERN` - the two matrices may have different nonzero patterns
380 .  `SUBSET_NONZERO_PATTERN` - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
381 -  `UNKNOWN_NONZERO_PATTERN` - there is no known relationship between the nonzero patterns. In this case the implementations
382                                may try to detect a relationship to optimize the operation
383 
384 .seealso: [](chapter_matrices), `Mat`, `MatCopy()`, `MatAXPY()`, `MatAYPX()`
385 E*/
386 typedef enum {
387   DIFFERENT_NONZERO_PATTERN,
388   SUBSET_NONZERO_PATTERN,
389   SAME_NONZERO_PATTERN,
390   UNKNOWN_NONZERO_PATTERN
391 } MatStructure;
392 PETSC_EXTERN const char *const MatStructures[];
393 
394 #if defined                 PETSC_HAVE_MKL_SPARSE
395 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
396 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
397 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
398 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
399 #endif
400 
401 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
402 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
403 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat, PetscInt, const PetscInt[]);
404 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
405 
406 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
407 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
408 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
409 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
410 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
411 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
412 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArray(Mat, const PetscScalar[]);
413 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], PetscInt[], PetscInt[], PetscScalar[], Mat *);
414 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm, Mat, Mat, const PetscInt[], Mat *);
415 
416 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
417 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
418 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
419 
420 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat, PetscCount, PetscInt[], PetscInt[]);
421 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat, PetscCount, PetscInt[], PetscInt[]);
422 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat, const PetscScalar[], InsertMode);
423 
424 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscInt[], Mat *);
425 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
426 
427 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
428 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
429 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
430 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
431 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], const PetscInt[]);
432 
433 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, void *, Mat *);
434 PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm, PetscInt, PetscInt, Mat *);
435 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat, Mat *);
436 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat, Mat *);
437 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat, Mat, Vec, Mat, Mat *);
438 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat, Mat *, Mat *, Vec *, Mat *);
439 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, ISLocalToGlobalMapping, ISLocalToGlobalMapping, Mat *);
440 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
441 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
442 
443 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm, VecScatter, Mat *);
444 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat, VecScatter);
445 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat, VecScatter *);
446 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt *, Mat *);
447 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat, Mat);
448 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
449 typedef enum {
450   MAT_COMPOSITE_MERGE_RIGHT,
451   MAT_COMPOSITE_MERGE_LEFT
452 } MatCompositeMergeType;
453 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat, MatCompositeMergeType);
454 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm, PetscInt, const Mat *, Mat *);
455 typedef enum {
456   MAT_COMPOSITE_ADDITIVE,
457   MAT_COMPOSITE_MULTIPLICATIVE
458 } MatCompositeType;
459 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat, MatCompositeType);
460 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat, MatCompositeType *);
461 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat, MatStructure);
462 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat, MatStructure *);
463 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat, PetscInt *);
464 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat, PetscInt, Mat *);
465 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat, const PetscScalar *);
466 
467 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm, PetscInt, const PetscInt[], MatType, Mat *);
468 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm, PetscInt, const PetscInt[], Mat *);
469 
470 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat, Mat *);
471 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat, Mat *);
472 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat, Mat *);
473 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat, Mat *);
474 PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat, Mat *);
475 PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat, Mat *);
476 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat, IS, IS, Mat *);
477 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat, Mat, IS, IS);
478 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat, IS, IS, Mat *);
479 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar, Mat *);
480 
481 #if defined(PETSC_HAVE_HYPRE)
482 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
483 #endif
484 
485 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat, const char[]);
486 PETSC_EXTERN PetscErrorCode MatPythonGetType(Mat, const char *[]);
487 
488 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
489 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
490 PETSC_EXTERN PetscErrorCode MatDestroy(Mat *);
491 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat, PetscObjectState *);
492 
493 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
494 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
495 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
496 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat, Mat *);
497 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat, PetscScalar *);
498 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat, const PetscScalar **);
499 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat, PetscInt, const PetscInt *, PetscScalar *);
500 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat, Mat);
501 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat, MatReuse, Mat *);
502 
503 /* ------------------------------------------------------------*/
504 PETSC_EXTERN PetscErrorCode MatSetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
505 PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat, IS, IS, const PetscScalar[], InsertMode);
506 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
507 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat, PetscInt, const PetscScalar[]);
508 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat, PetscInt, const PetscScalar[]);
509 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt[], const PetscScalar[]);
510 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat, PetscRandom);
511 
512 /*S
513      MatStencil - Data structure (C struct) for storing information about rows and
514         columns of a matrix as indexed on an associated grid. These are arguments to `MatSetStencil()` and `MatSetBlockStencil()`
515 
516    Level: beginner
517 
518    Notes:
519    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).
520    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.
521 
522    For stencil access to vectors see `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`.
523 
524    For staggered grids, see `DMStagStencil`
525 
526    Fortran Note:
527    See `MatSetValuesStencil()` for details.
528 
529 .seealso: [](chapter_matrices), `Mat`, `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`,
530           `DMStagStencil`
531 S*/
532 typedef struct {
533   PetscInt k, j, i, c;
534 } MatStencil;
535 
536 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
537 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
538 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat, PetscInt, const PetscInt[], const PetscInt[], PetscInt);
539 
540 /*E
541     MatAssemblyType - Indicates if the process of setting values into the matrix is complete, and the matrix is ready for use
542 
543     Level: beginner
544 
545     Values:
546 +   `MAT_FLUSH_ASSEMBLY` - you will continue to put values into the matrix
547 -   `MAT_FINAL_ASSEMBLY` - you wish to use the matrix with the values currently inserted
548 
549 .seealso: [](chapter_matrices), `Mat`, `MatSetValues`, `MatAssemblyBegin()`, `MatAssemblyEnd()`
550 E*/
551 typedef enum {
552   MAT_FLUSH_ASSEMBLY = 1,
553   MAT_FINAL_ASSEMBLY = 0
554 } MatAssemblyType;
555 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat, MatAssemblyType);
556 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat, MatAssemblyType);
557 PETSC_EXTERN PetscErrorCode MatAssembled(Mat, PetscBool *);
558 
559 /*E
560     MatOption - Options that may be set for a matrix that indicate properties of the matrix or affect its behavior or storage
561 
562     Level: beginner
563 
564    Note:
565    See `MatSetOption()` for the use of the options
566 
567    Developer Note:
568    Entries that are negative need not be called collectively by all processes.
569 
570 .seealso: [](chapter_matrices), `Mat`, `MatSetOption()`
571 E*/
572 typedef enum {
573   MAT_OPTION_MIN                  = -3,
574   MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
575   MAT_ROW_ORIENTED                = -1,
576   MAT_SYMMETRIC                   = 1,
577   MAT_STRUCTURALLY_SYMMETRIC      = 2,
578   MAT_FORCE_DIAGONAL_ENTRIES      = 3,
579   MAT_IGNORE_OFF_PROC_ENTRIES     = 4,
580   MAT_USE_HASH_TABLE              = 5,
581   MAT_KEEP_NONZERO_PATTERN        = 6,
582   MAT_IGNORE_ZERO_ENTRIES         = 7,
583   MAT_USE_INODES                  = 8,
584   MAT_HERMITIAN                   = 9,
585   MAT_SYMMETRY_ETERNAL            = 10,
586   MAT_NEW_NONZERO_LOCATION_ERR    = 11,
587   MAT_IGNORE_LOWER_TRIANGULAR     = 12,
588   MAT_ERROR_LOWER_TRIANGULAR      = 13,
589   MAT_GETROW_UPPERTRIANGULAR      = 14,
590   MAT_SPD                         = 15,
591   MAT_NO_OFF_PROC_ZERO_ROWS       = 16,
592   MAT_NO_OFF_PROC_ENTRIES         = 17,
593   MAT_NEW_NONZERO_LOCATIONS       = 18,
594   MAT_NEW_NONZERO_ALLOCATION_ERR  = 19,
595   MAT_SUBSET_OFF_PROC_ENTRIES     = 20,
596   MAT_SUBMAT_SINGLEIS             = 21,
597   MAT_STRUCTURE_ONLY              = 22,
598   MAT_SORTED_FULL                 = 23,
599   MAT_FORM_EXPLICIT_TRANSPOSE     = 24,
600   MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
601   MAT_SPD_ETERNAL                 = 26,
602   MAT_OPTION_MAX                  = 27
603 } MatOption;
604 
605 PETSC_EXTERN const char *const *MatOptions;
606 PETSC_EXTERN PetscErrorCode     MatSetOption(Mat, MatOption, PetscBool);
607 PETSC_EXTERN PetscErrorCode     MatGetOption(Mat, MatOption, PetscBool *);
608 PETSC_EXTERN PetscErrorCode     MatPropagateSymmetryOptions(Mat, Mat);
609 PETSC_EXTERN PetscErrorCode     MatGetType(Mat, MatType *);
610 
611 PETSC_EXTERN PetscErrorCode    MatGetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
612 PETSC_EXTERN PetscErrorCode    MatGetRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
613 PETSC_EXTERN PetscErrorCode    MatRestoreRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
614 PETSC_EXTERN PetscErrorCode    MatGetRowUpperTriangular(Mat);
615 PETSC_EXTERN PetscErrorCode    MatRestoreRowUpperTriangular(Mat);
616 PETSC_EXTERN PetscErrorCode    MatGetColumnVector(Mat, Vec, PetscInt);
617 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArray(Mat, PetscScalar *[]);
618 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayRead(Mat, const PetscScalar *[]);
619 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayWrite(Mat, PetscScalar *[]);
620 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArray(Mat, PetscScalar *[]);
621 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayRead(Mat, const PetscScalar *[]);
622 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayWrite(Mat, PetscScalar *[]);
623 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetMaxRowNonzeros(Mat, PetscInt *);
624 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetValuesLocalFast(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
625 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetType(Mat, MatType);
626 PETSC_EXTERN PetscErrorCode    MatSeqAIJKron(Mat, Mat, MatReuse, Mat *);
627 PETSC_EXTERN PetscErrorCode    MatSeqAIJRegister(const char[], PetscErrorCode (*)(Mat, MatType, MatReuse, Mat *));
628 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
629 PETSC_EXTERN PetscErrorCode    MatSeqBAIJGetArray(Mat, PetscScalar *[]);
630 PETSC_EXTERN PetscErrorCode    MatSeqBAIJRestoreArray(Mat, PetscScalar *[]);
631 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJGetArray(Mat, PetscScalar *[]);
632 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJRestoreArray(Mat, PetscScalar *[]);
633 PETSC_EXTERN PetscErrorCode    MatDenseGetArray(Mat, PetscScalar *[]);
634 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArray(Mat, PetscScalar *[]);
635 PETSC_EXTERN PetscErrorCode    MatDensePlaceArray(Mat, const PetscScalar[]);
636 PETSC_EXTERN PetscErrorCode    MatDenseReplaceArray(Mat, const PetscScalar[]);
637 PETSC_EXTERN PetscErrorCode    MatDenseResetArray(Mat);
638 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayRead(Mat, const PetscScalar *[]);
639 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayRead(Mat, const PetscScalar *[]);
640 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWrite(Mat, PetscScalar *[]);
641 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWrite(Mat, PetscScalar *[]);
642 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayAndMemType(Mat, PetscScalar *[], PetscMemType *);
643 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayAndMemType(Mat, PetscScalar *[]);
644 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayReadAndMemType(Mat, const PetscScalar *[], PetscMemType *);
645 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayReadAndMemType(Mat, const PetscScalar *[]);
646 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWriteAndMemType(Mat, PetscScalar *[], PetscMemType *);
647 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWriteAndMemType(Mat, PetscScalar *[]);
648 PETSC_EXTERN PetscErrorCode    MatGetBlockSize(Mat, PetscInt *);
649 PETSC_EXTERN PetscErrorCode    MatSetBlockSize(Mat, PetscInt);
650 PETSC_EXTERN PetscErrorCode    MatGetBlockSizes(Mat, PetscInt *, PetscInt *);
651 PETSC_EXTERN PetscErrorCode    MatSetBlockSizes(Mat, PetscInt, PetscInt);
652 PETSC_EXTERN PetscErrorCode    MatSetBlockSizesFromMats(Mat, Mat, Mat);
653 PETSC_EXTERN PetscErrorCode    MatSetVariableBlockSizes(Mat, PetscInt, PetscInt *);
654 PETSC_EXTERN PetscErrorCode    MatGetVariableBlockSizes(Mat, PetscInt *, const PetscInt **);
655 
656 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat, PetscInt, PetscScalar *[]);
657 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat, PetscScalar *[]);
658 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat, PetscInt, Vec *);
659 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat, PetscInt, Vec *);
660 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat, PetscInt, Vec *);
661 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat, PetscInt, Vec *);
662 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat, PetscInt, Vec *);
663 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat, PetscInt, Vec *);
664 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
665 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat, Mat *);
666 
667 PETSC_EXTERN PetscErrorCode MatMult(Mat, Vec, Vec);
668 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat, Vec, Vec);
669 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat, Vec, Vec, Vec);
670 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat, Vec, Vec);
671 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat, Vec, Vec);
672 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat, Mat, PetscReal, PetscBool *);
673 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat, Mat, PetscReal, PetscBool *);
674 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat, Vec, Vec, Vec);
675 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat, Vec, Vec, Vec);
676 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat, Mat, Mat);
677 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat, Mat, Mat);
678 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat, Mat, Mat);
679 PETSC_EXTERN PetscErrorCode MatResidual(Mat, Vec, Vec, Vec);
680 
681 /*E
682     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
683   its numerical values copied over or just its nonzero structure.
684 
685     Level: beginner
686 
687     Values:
688 +   `MAT_DO_NOT_COPY_VALUES`    - Create a matrix using the same nonzero pattern as the original matrix,
689                                with zeros for the numerical values
690 .   `MAT_COPY_VALUES`           - Create a matrix with the same nonzero pattern as the original matrix
691                                and with the same numerical values.
692 -   `MAT_SHARE_NONZERO_PATTERN` - Create a matrix that shares the nonzero structure with the previous matrix
693                                and does not copy it, using zeros for the numerical values. The parent and
694                                child matrices will share their index (i and j) arrays, and you cannot
695                                insert new nonzero entries into either matrix
696 
697   Note:
698   Many matrix types (including `MATSEQAIJ`) do not support the `MAT_SHARE_NONZERO_PATTERN` optimization; in
699   this case the behavior is as if `MAT_DO_NOT_COPY_VALUES` has been specified.
700 
701 .seealso: [](chapter_matrices), `Mat`, `MatDuplicate()`
702 E*/
703 typedef enum {
704   MAT_DO_NOT_COPY_VALUES,
705   MAT_COPY_VALUES,
706   MAT_SHARE_NONZERO_PATTERN
707 } MatDuplicateOption;
708 
709 PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
710 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);
711 
712 PETSC_EXTERN PetscErrorCode MatCopy(Mat, Mat, MatStructure);
713 PETSC_EXTERN PetscErrorCode MatView(Mat, PetscViewer);
714 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat, PetscReal, PetscBool *);
715 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat, PetscBool *);
716 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat, PetscReal, PetscBool *);
717 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat, PetscBool *, PetscBool *);
718 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat, PetscBool *, PetscBool *);
719 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat, PetscBool *, PetscBool *);
720 PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat, PetscBool *, PetscBool *);
721 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat, PetscBool *, PetscInt *);
722 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
723 
724 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
725 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
726 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
727 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
728 
729 /*S
730      MatInfo - Context of matrix information, used with `MatGetInfo()`
731 
732    Level: intermediate
733 
734    Fortran Note:
735    Information is stored as a double-precision array of dimension `MAT_INFO_SIZE`
736 
737 .seealso: [](chapter_matrices), `Mat`, `MatGetInfo()`, `MatInfoType`
738 S*/
739 typedef struct {
740   PetscLogDouble block_size;                          /* block size */
741   PetscLogDouble nz_allocated, nz_used, nz_unneeded;  /* number of nonzeros */
742   PetscLogDouble memory;                              /* memory allocated */
743   PetscLogDouble assemblies;                          /* number of matrix assemblies called */
744   PetscLogDouble mallocs;                             /* number of mallocs during MatSetValues() */
745   PetscLogDouble fill_ratio_given, fill_ratio_needed; /* fill ratio for LU/ILU */
746   PetscLogDouble factor_mallocs;                      /* number of mallocs during factorization */
747 } MatInfo;
748 
749 /*E
750     MatInfoType - Indicates if you want information about the local part of the matrix,
751      the entire parallel matrix or the maximum over all the local parts.
752 
753     Level: beginner
754 
755     Values:
756 +   `MAT_LOCAL` - values for each MPI process part of the matrix
757 .   `MAT_GLOBAL_MAX` - maximum of each value over all MPI processes
758 -   `MAT_GLOBAL_SUM` - sum of each value over all MPI processes
759 
760 .seealso: [](chapter_matrices), `MatGetInfo()`, `MatInfo`
761 E*/
762 typedef enum {
763   MAT_LOCAL      = 1,
764   MAT_GLOBAL_MAX = 2,
765   MAT_GLOBAL_SUM = 3
766 } MatInfoType;
767 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat, MatInfoType, MatInfo *);
768 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat, Vec);
769 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat, Vec, PetscInt[]);
770 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat, Vec, PetscInt[]);
771 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat, Vec, PetscInt[]);
772 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat, Vec, PetscInt[]);
773 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat, Vec);
774 PETSC_EXTERN PetscErrorCode MatTranspose(Mat, MatReuse, Mat *);
775 PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat, Mat *);
776 PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat, Mat);
777 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat, MatReuse, Mat *);
778 PETSC_EXTERN PetscErrorCode MatPermute(Mat, IS, IS, Mat *);
779 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat, Vec, Vec);
780 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat, Vec, InsertMode);
781 
782 PETSC_EXTERN PetscErrorCode MatEqual(Mat, Mat, PetscBool *);
783 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat, Mat, PetscInt, PetscBool *);
784 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat, Mat, PetscInt, PetscBool *);
785 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
786 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
787 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
788 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
789 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
790 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
791 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
792 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
793 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
794 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat, PetscInt, PetscBool *);
795 
796 PETSC_EXTERN PetscErrorCode MatNorm(Mat, NormType, PetscReal *);
797 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat, NormType, PetscReal *);
798 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat, PetscScalar *);
799 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat, PetscReal *);
800 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat, PetscReal *);
801 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat, PetscScalar *);
802 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat, PetscReal *);
803 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat, PetscReal *);
804 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat, PetscInt, PetscReal *);
805 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
806 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
807 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
808 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat, IS, PetscScalar, Vec, Vec);
809 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
810 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
811 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
812 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat, IS, PetscScalar, Vec, Vec);
813 
814 PETSC_EXTERN PetscErrorCode MatGetSize(Mat, PetscInt *, PetscInt *);
815 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat, PetscInt *, PetscInt *);
816 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat, PetscInt *, PetscInt *);
817 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat, const PetscInt **);
818 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat, PetscInt *, PetscInt *);
819 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat, const PetscInt **);
820 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat, IS *, IS *);
821 
822 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
823 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[])
824 {
825   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
826 }
827 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
828 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[])
829 {
830   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
831 }
832 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
833 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
834 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
835 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatrix() (since version 3.8)") static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat)
836 {
837   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
838 }
839 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
840 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
841 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
842 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);
843 
844 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm, Mat, PetscInt, PetscInt, MatReuse, Mat *);
845 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm, Mat, PetscInt, PetscInt, Mat *);
846 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat, Mat);
847 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat, MatReuse, Mat *);
848 PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat, Mat *);
849 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
850 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat, MatReuse, IS *, Mat *);
851 PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat, PetscCount *);
852 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat, Mat, MatReuse, IS *, IS *, Mat *);
853 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *, const PetscInt *[]);
854 
855 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
856 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat, PetscInt n, IS is[], PetscInt ov);
857 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);
858 
859 PETSC_EXTERN PetscErrorCode MatMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
860 
861 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
862 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
863 
864 PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
865 PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);
866 
867 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
868 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);
869 
870 PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
871 PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);
872 
873 PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
874 PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);
875 
876 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping, ISLocalToGlobalMapping);
877 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
878 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat, PetscLayout *, PetscLayout *);
879 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat, PetscLayout, PetscLayout);
880 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
881 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
882 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
883 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
884 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
885 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
886 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
887 
888 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
889 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);
890 
891 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat, Vec, Vec);
892 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat, Vec, Vec, Vec);
893 PETSC_EXTERN PetscErrorCode MatRestrict(Mat, Vec, Vec);
894 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat, Mat, Mat *);
895 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat, Mat, Mat, Mat *);
896 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat, Mat, Mat *);
897 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat, Vec *, Vec *);
898 PETSC_DEPRECATED_FUNCTION("Use MatCreateVecs() (since version 3.6)") static inline PetscErrorCode MatGetVecs(Mat mat, Vec *x, Vec *y)
899 {
900   return MatCreateVecs(mat, x, y);
901 }
902 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat, PetscInt, MPI_Comm, MatReuse, Mat *);
903 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat, MPI_Comm, MatReuse, Mat *);
904 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat, IS *);
905 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat, IS *);
906 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm, Mat, PetscInt, MatReuse, Mat *);
907 
908 /*MC
909    MatSetValue - Set a single entry into a matrix.
910 
911    Not Collective
912 
913    Synopsis:
914      #include <petscmat.h>
915      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
916 
917    Input Parameters:
918 +  m - the matrix
919 .  row - the row location of the entry
920 .  col - the column location of the entry
921 .  value - the value to insert
922 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
923 
924    Level: beginner
925 
926    Note:
927    For efficiency one should use `MatSetValues()` and set several values simultaneously.
928 
929 .seealso: [](chapter_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd`, `InsertMode`, `MatGetValue()`, `MatSetValues()`,
930           `MatSetValueLocal()`, `MatSetValuesLocal()`
931 M*/
932 static inline PetscErrorCode MatSetValue(Mat v, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
933 {
934   return MatSetValues(v, 1, &i, 1, &j, &va, mode);
935 }
936 
937 /*@C
938    MatGetValue - Gets a single value from a matrix
939 
940    Not Collective; can only return a value owned by the given process
941 
942    Input Parameters:
943 +  mat - the matrix
944 .  row - the row location of the entry
945 -  col - the column location of the entry
946 
947    Output Parameter:
948 .  va - the value
949 
950    Level: advanced
951 
952    Notes:
953    The matrix must have been assembled with `MatAssemblyBegin()` and `MatAssemblyEnd` before this call
954 
955    For efficiency one should use `MatGetValues()` and get several values simultaneously.
956 
957    See notes for `MatGetValues()`.
958 
959 .seealso: [](chapter_matrices),  `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd`, `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
960 @*/
961 static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
962 {
963   return MatGetValues(mat, 1, &row, 1, &col, va);
964 }
965 
966 /*MC
967    MatSetValueLocal - Inserts or adds a single value into a matrix, using a local numbering of the nodes.
968 
969    Not Collective
970 
971    Input Parameters:
972 +  m - the matrix
973 .  row - the row location of the entry
974 .  col - the column location of the entry
975 .  value - the value to insert
976 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
977 
978    Level: intermediate
979 
980    Notes:
981    For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.
982 
983    See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.
984 
985 .seealso: [](chapter_matrices), `MatSetValue()`, `MatSetValuesLocal()`
986 M*/
987 static inline PetscErrorCode MatSetValueLocal(Mat v, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
988 {
989   return MatSetValuesLocal(v, 1, &i, 1, &j, &va, mode);
990 }
991 
992 /*MC
993    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
994        row in a matrix providing the data that one can use to correctly preallocate the matrix.
995 
996    Synopsis:
997    #include <petscmat.h>
998    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
999 
1000    Collective
1001 
1002    Input Parameters:
1003 +  comm - the communicator that will share the eventually allocated matrix
1004 .  nrows - the number of LOCAL rows in the matrix
1005 -  ncols - the number of LOCAL columns in the matrix
1006 
1007    Output Parameters:
1008 +  dnz - the array that will be passed to the matrix preallocation routines
1009 -  onz - the other array passed to the matrix preallocation routines
1010 
1011    Level: deprecated (since v3.19)
1012 
1013    Notes:
1014    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1015    the use of this routine
1016 
1017    This is a macro that handles its own error checking, it does not return an error code.
1018 
1019    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1020 
1021    Developer Note:
1022     This is a MACRO not a function because it has a leading { that is closed by `PetscPreallocateFinalize()`.
1023 
1024 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1025           `MatPreallocateSymmetricSetLocalBlock()`
1026 M*/
1027 #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
1028   do { \
1029     PetscInt              __nrows = (nrows), __ncols = (ncols), __rstart, __end = 0; \
1030     PetscInt PETSC_UNUSED __start; \
1031     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
1032     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
1033     __start = __end - __ncols; \
1034     (void)__start; \
1035     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
1036   __rstart -= __nrows
1037 
1038 #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateBegin() (since version 3.18)\"") MatPreallocateBegin(__VA_ARGS__)
1039 
1040 /*MC
1041    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1042        inserted using a local number of the rows and columns
1043 
1044    Synopsis:
1045    #include <petscmat.h>
1046    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1047 
1048    Not Collective
1049 
1050    Input Parameters:
1051 +  map - the row mapping from local numbering to global numbering
1052 .  nrows - the number of rows indicated
1053 .  rows - the indices of the rows
1054 .  cmap - the column mapping from local to global numbering
1055 .  ncols - the number of columns in the matrix
1056 .  cols - the columns indicated
1057 .  dnz - the array that will be passed to the matrix preallocation routines
1058 -  onz - the other array passed to the matrix preallocation routines
1059 
1060    Level: deprecated (since v3.19)
1061 
1062    Notes:
1063    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1064    the use of this routine
1065 
1066    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1067 
1068 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1069           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
1070 M*/
1071 #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1072   PetscMacroReturnStandard(PetscCall(ISLocalToGlobalMappingApply(rmap, nrows, rows, rows)); PetscCall(ISLocalToGlobalMappingApply(cmap, ncols, cols, cols)); for (PetscInt __l = 0; __l < nrows; __l++) PetscCall(MatPreallocateSet((rows)[__l], ncols, cols, dnz, onz));)
1073 
1074 /*MC
1075    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1076        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
1077 
1078    Synopsis:
1079    #include <petscmat.h>
1080    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1081 
1082    Not Collective
1083 
1084    Input Parameters:
1085 +  map - the row mapping from local numbering to global numbering
1086 .  nrows - the number of rows indicated
1087 .  rows - the indices of the rows (these values are mapped to the global values)
1088 .  cmap - the column mapping from local to global numbering
1089 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1090 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1091 .  dnz - the array that will be passed to the matrix preallocation routines
1092 -  onz - the other array passed to the matrix preallocation routines
1093 
1094    Level: deprecated (since v3.19)
1095 
1096    Notes:
1097    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1098    the use of this routine
1099 
1100    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1101 
1102 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1103           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1104 M*/
1105 #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1106   PetscMacroReturnStandard(PetscCall(ISLocalToGlobalMappingApply(rmap, nrows, rows, rows)); PetscCall(ISLocalToGlobalMappingApply(cmap, ncols, cols, cols)); PetscCall(PetscSortRemoveDupsInt(&ncols, cols)); for (PetscInt __l = 0; __l < nrows; __l++) PetscCall(MatPreallocateSet((rows)[__l], ncols, cols, dnz, onz));)
1107 
1108 /*MC
1109    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1110        inserted using a local number of the rows and columns
1111 
1112    Synopsis:
1113    #include <petscmat.h>
1114    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1115 
1116    Not Collective
1117 
1118    Input Parameters:
1119 +  map - the row mapping from local numbering to global numbering
1120 .  nrows - the number of rows indicated
1121 .  rows - the indices of the rows
1122 .  cmap - the column mapping from local to global numbering
1123 .  ncols - the number of columns in the matrix
1124 .  cols - the columns indicated
1125 .  dnz - the array that will be passed to the matrix preallocation routines
1126 -  onz - the other array passed to the matrix preallocation routines
1127 
1128    Level: deprecated (since v3.19)
1129 
1130    Notes:
1131    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1132    the use of this routine
1133 
1134    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1135 
1136 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1137           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1138 M*/
1139 #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1140   PetscMacroReturnStandard(PetscCall(ISLocalToGlobalMappingApplyBlock(rmap, nrows, rows, rows)); PetscCall(ISLocalToGlobalMappingApplyBlock(cmap, ncols, cols, cols)); for (PetscInt __l = 0; __l < nrows; __l++) PetscCall(MatPreallocateSet((rows)[__l], ncols, cols, dnz, onz));)
1141 
1142 /*MC
1143    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1144        inserted using a local number of the rows and columns
1145 
1146    Synopsis:
1147    #include <petscmat.h>
1148    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1149 
1150    Not Collective
1151 
1152    Input Parameters:
1153 +  map - the mapping between local numbering and global numbering
1154 .  nrows - the number of rows indicated
1155 .  rows - the indices of the rows
1156 .  ncols - the number of columns in the matrix
1157 .  cols - the columns indicated
1158 .  dnz - the array that will be passed to the matrix preallocation routines
1159 -  onz - the other array passed to the matrix preallocation routines
1160 
1161    Level: deprecated (since v3.19)
1162 
1163    Notes:
1164    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1165    the use of this routine
1166 
1167    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1168 
1169 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`
1170           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1171 M*/
1172 #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1173   PetscMacroReturnStandard(PetscCall(ISLocalToGlobalMappingApplyBlock(map, nrows, rows, rows)); PetscCall(ISLocalToGlobalMappingApplyBlock(map, ncols, cols, cols)); for (PetscInt __l = 0; __l < nrows; __l++) PetscCall(MatPreallocateSymmetricSetBlock((rows)[__l], ncols, cols, dnz, onz));)
1174 
1175 /*MC
1176    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1177        inserted using a local number of the rows and columns
1178 
1179    Synopsis:
1180    #include <petscmat.h>
1181    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1182 
1183    Not Collective
1184 
1185    Input Parameters:
1186 +  row - the row
1187 .  ncols - the number of columns in the matrix
1188 -  cols - the columns indicated
1189 
1190    Output Parameters:
1191 +  dnz - the array that will be passed to the matrix preallocation routines
1192 -  onz - the other array passed to the matrix preallocation routines
1193 
1194    Level: deprecated (since v3.19)
1195 
1196    Notes:
1197    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1198    the use of this routine
1199 
1200    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1201 
1202    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1203 
1204 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1205           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1206 M*/
1207 #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1208   PetscMacroReturnStandard(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); 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); for (PetscInt __i = 0; __i < nc; ++__i) { \
1209     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1210     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1211   })
1212 
1213 /*MC
1214    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1215        inserted using a local number of the rows and columns
1216 
1217    Synopsis:
1218    #include <petscmat.h>
1219    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1220 
1221    Not Collective
1222 
1223    Input Parameters:
1224 +  nrows - the number of rows indicated
1225 .  rows - the indices of the rows
1226 .  ncols - the number of columns in the matrix
1227 .  cols - the columns indicated
1228 .  dnz - the array that will be passed to the matrix preallocation routines
1229 -  onz - the other array passed to the matrix preallocation routines
1230 
1231    Level: deprecated (since v3.19)
1232 
1233    Notes:
1234    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1235    the use of this routine
1236 
1237    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1238 
1239    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1240 
1241 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1242           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1243 M*/
1244 #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1245   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
1246     if (cols[__i] >= __end) onz[row - __rstart]++; \
1247     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1248   })
1249 
1250 /*MC
1251    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1252 
1253    Synopsis:
1254    #include <petscmat.h>
1255    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1256 
1257    Not Collective
1258 
1259    Input Parameters:
1260 +  A - matrix
1261 .  row - row where values exist (must be local to this process)
1262 .  ncols - number of columns
1263 .  cols - columns with nonzeros
1264 .  dnz - the array that will be passed to the matrix preallocation routines
1265 -  onz - the other array passed to the matrix preallocation routines
1266 
1267    Level: deprecated (since v3.19)
1268 
1269    Notes:
1270    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1271    the use of this routine
1272 
1273    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1274 
1275    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
1276 
1277 .seealso: [](chapter_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1278           `MatPreallocateSymmetricSetLocalBlock()`
1279 M*/
1280 #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))
1281 
1282 /*MC
1283    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1284        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1285 
1286    Synopsis:
1287    #include <petscmat.h>
1288    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)
1289 
1290    Collective
1291 
1292    Input Parameters:
1293 +  dnz - the array that was be passed to the matrix preallocation routines
1294 -  onz - the other array passed to the matrix preallocation routines
1295 
1296    Level: deprecated (since v3.19)
1297 
1298    Notes:
1299    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1300    the use of this routine
1301 
1302    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1303 
1304    Developer Note:
1305     This is a MACRO not a function because it closes the { started in MatPreallocateBegin().
1306 
1307 .seealso: [](chapter_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1308           `MatPreallocateSymmetricSetLocalBlock()`
1309 M*/
1310 #define MatPreallocateEnd(dnz, onz) \
1311   PetscCall(PetscFree2(dnz, onz)); \
1312   } \
1313   while (0)
1314 
1315 #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateEnd() (since version 3.18)\"") MatPreallocateEnd(__VA_ARGS__)
1316 
1317 /* Routines unique to particular data structures */
1318 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, void *);
1319 
1320 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1321 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);
1322 
1323 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1324 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1325 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1326 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1327 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1328 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscInt, PetscBool);
1329 
1330 #define MAT_SKIP_ALLOCATION -4
1331 
1332 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1333 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1334 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1335 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);
1336 
1337 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1338 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1339 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1340 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1341 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1342 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1343 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1344 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1345 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1346 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1347 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1348 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1349 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1350 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1351 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);
1352 
1353 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1354 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1355 PETSC_DEPRECATED_FUNCTION("Use MatDenseSetLDA() (since version 3.14)") static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
1356 {
1357   return MatDenseSetLDA(A, lda);
1358 }
1359 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);
1360 
1361 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1362 
1363 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1364 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1365 
1366 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1367 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1368 /*
1369   These routines are not usually accessed directly, rather solving is
1370   done through the KSP and PC interfaces.
1371 */
1372 
1373 /*J
1374     MatOrderingType - String with the name of a PETSc matrix ordering. These orderings are most commonly used
1375     to reduce fill in sparse factorizations.
1376 
1377    Level: beginner
1378 
1379    Notes:
1380    If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and instead the external package called utilizes one
1381    in the external the factorization package
1382 
1383    There is no `MatOrdering` object, the ordering is obtained directly from the matrix with `MatGetOrdering()`
1384 
1385    Developer Note:
1386    This API should be converted to an API similar to those for `MatColoring` and `MatPartitioning`
1387 
1388 .seealso: [](chapter_matrices), [](sec_graph), `MatGetFactor()`, `MatGetOrdering()`, `MatColoringType`, `MatPartitioningType`, `MatCoarsenType`, `MatCoarsenType`,
1389           `PCFactorSetOrderingType()`
1390 J*/
1391 typedef const char *MatOrderingType;
1392 #define MATORDERINGNATURAL       "natural"
1393 #define MATORDERINGND            "nd"
1394 #define MATORDERING1WD           "1wd"
1395 #define MATORDERINGRCM           "rcm"
1396 #define MATORDERINGQMD           "qmd"
1397 #define MATORDERINGROWLENGTH     "rowlength"
1398 #define MATORDERINGWBM           "wbm"
1399 #define MATORDERINGSPECTRAL      "spectral"
1400 #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1401 #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1402 #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 */
1403 #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */
1404 
1405 PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1406 PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1407 PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1408 PETSC_EXTERN PetscFunctionList MatOrderingList;
1409 
1410 #include "petscmatcoarsen.h"
1411 
1412 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1413 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);
1414 
1415 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);
1416 
1417 /*S
1418     MatFactorShiftType - Type of numeric shift used for factorizations
1419 
1420    Values:
1421 +  `MAT_SHIFT_NONE` - do not shift the matrix diagonal entries
1422 .  `MAT_SHIFT_NONZERO` - shift the entries to be non-zero
1423 .  `MAT_SHIFT_POSITIVE_DEFINITE` - shift the entries to force the factorization to be positive definite
1424 -  `MAT_SHIFT_INBLOCKS` - only shift the factors inside the small dense diagonal blocks of the matrix, for example with `MATBAIJ`
1425 
1426    Level: intermediate
1427 
1428 .seealso: [](chapter_matrices), `Mat`, `MatGetFactor()`, `PCFactorSetShiftType()`
1429 S*/
1430 typedef enum {
1431   MAT_SHIFT_NONE,
1432   MAT_SHIFT_NONZERO,
1433   MAT_SHIFT_POSITIVE_DEFINITE,
1434   MAT_SHIFT_INBLOCKS
1435 } MatFactorShiftType;
1436 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1437 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1438 
1439 /*S
1440     MatFactorError - indicates what type of error was generated in a matrix factorization
1441 
1442     Values:
1443 +   `MAT_FACTOR_NOERROR` - there was no error during the factorization
1444 .   `MAT_FACTOR_STRUCT_ZEROPIVOT` - there was a missing entry in a diagonal location of the matrix
1445 .   `MAT_FACTOR_NUMERIC_ZEROPIVOT` - there was a (near) zero pivot during the factorization
1446 .   `MAT_FACTOR_OUTMEMORY` - the factorization has run out of memory
1447 -   `MAT_FACTOR_OTHER` - some other error has occurred.
1448 
1449     Level: intermediate
1450 
1451     Note:
1452     When a factorization is done in a preconditioner `PC` the error may be propagated up to a `PCFailedReason` or a `KSPConvergedReason`
1453 
1454 .seealso: [](chapter_matrices), `Mat`, `MatGetFactor()`, `MatFactorGetError()`, `MatFactorGetErrorZeroPivot()`, `MatFactorClearError()`,
1455           `PCFailedReason`, `PCGetFailedReason()`, `KSPConvergedReason`
1456 S*/
1457 typedef enum {
1458   MAT_FACTOR_NOERROR,
1459   MAT_FACTOR_STRUCT_ZEROPIVOT,
1460   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1461   MAT_FACTOR_OUTMEMORY,
1462   MAT_FACTOR_OTHER
1463 } MatFactorError;
1464 
1465 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1466 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1467 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);
1468 
1469 /*S
1470    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1471 
1472    Level: developer
1473 
1474    Note:
1475    You can use `MatFactorInfoInitialize()` to set default values.
1476 
1477    Fortran Note:
1478    The data is available in a double precision arrays of size `MAT_FACTORINFO_SIZE`
1479 
1480 .seealso: [](chapter_matrices), `Mat`, `MatInfo`, `MatGetFactor()`, `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`,
1481           `MatICCFactorSymbolic()`, `MatICCFactor()`,  `MatFactorInfoInitialize()`
1482 S*/
1483 typedef struct {
1484   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1485   PetscReal usedt;
1486   PetscReal dt;            /* drop tolerance */
1487   PetscReal dtcol;         /* tolerance for pivoting */
1488   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1489   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1490   PetscReal levels;        /* ICC/ILU(levels) */
1491   PetscReal pivotinblocks; /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1492                                    factorization may be faster if do not pivot */
1493   PetscReal zeropivot;     /* pivot is called zero if less than this */
1494   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1495   PetscReal shiftamount;   /* how large the shift is */
1496 } MatFactorInfo;
1497 
1498 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1499 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1500 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1501 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1502 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1503 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1504 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1505 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1506 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1507 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1508 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1509 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1510 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1511 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1512 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1513 PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1514 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1515 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1516 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1517 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1518 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1519 PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1520 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1521 
1522 typedef enum {
1523   MAT_FACTOR_SCHUR_UNFACTORED,
1524   MAT_FACTOR_SCHUR_FACTORED,
1525   MAT_FACTOR_SCHUR_INVERTED
1526 } MatFactorSchurStatus;
1527 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1528 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1529 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1530 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1531 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1532 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1533 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1534 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1535 
1536 PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1537 /*E
1538     MatSORType - What type of (S)SOR to perform
1539 
1540    Values:
1541 +  `SOR_FORWARD_SWEEP` - do a sweep from the first row of the matrix to the last
1542 .  `SOR_BACKWARD_SWEEP` -  do a sweep from the last row to the first
1543 .  `SOR_SYMMETRIC_SWEEP` - do a sweep from the first row to the last and then back to the first
1544 .  `SOR_LOCAL_FORWARD_SWEEP` - each MPI rank does its own forward sweep with no communication
1545 .  `SOR_LOCAL_BACKWARD_SWEEP` - each MPI rank does its own backward sweep with no communication
1546 .  `SOR_LOCAL_SYMMETRIC_SWEEP` - each MPI rank does its own symmetric sweep with no communication
1547 .  `SOR_ZERO_INITIAL_GUESS` - indicates the initial solution is zero so the sweep can avoid unneeded computation
1548 .  `SOR_EISENSTAT` - apply the Eisentat application of SOR, see `PCEISENSTAT`
1549 .  `SOR_APPLY_UPPER` - multiply by the upper triangular portion of the matrix
1550 -  `SOR_APPLY_LOWER` - multiply by the lower triangular portion of the matrix
1551 
1552     Level: beginner
1553 
1554    Note:
1555    These may be bitwise ORd together
1556 
1557    Developer Note:
1558    Since `MatSORType` may be bitwise ORd together, so do not change the numerical values below
1559 
1560 .seealso: [](chapter_matrices), `MatSOR()`
1561 E*/
1562 typedef enum {
1563   SOR_FORWARD_SWEEP         = 1,
1564   SOR_BACKWARD_SWEEP        = 2,
1565   SOR_SYMMETRIC_SWEEP       = 3,
1566   SOR_LOCAL_FORWARD_SWEEP   = 4,
1567   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1568   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1569   SOR_ZERO_INITIAL_GUESS    = 16,
1570   SOR_EISENSTAT             = 32,
1571   SOR_APPLY_UPPER           = 64,
1572   SOR_APPLY_LOWER           = 128
1573 } MatSORType;
1574 PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);
1575 
1576 /*S
1577      MatColoring - Object for managing the coloring of matrices.
1578 
1579    Level: beginner
1580 
1581    Notes:
1582    Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1583    matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).
1584 
1585    Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1586    same object can also be used to efficiently convert data created by Automatic Differentiation tools to PETSc sparse matrices.
1587 
1588 .seealso: [](chapter_matrices), [](sec_graph), `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`,
1589           `MatPartitioning`, `MatColoringType`, `MatPartitioningType`, `MatOrderingType`,  `MatColoringSetWeightType()`,
1590           `MatColoringSetWeights()`, `MatCoarsenType`,  `MatCoarsen`
1591 S*/
1592 typedef struct _p_MatColoring *MatColoring;
1593 
1594 /*J
1595     MatColoringType - String with the name of a PETSc matrix coloring
1596 
1597    Level: beginner
1598 
1599 .seealso: [](chapter_matrices), [](sec_graph), `Mat`, `MatFDColoringCreate()`, `MatColoringSetType()`, `MatColoring`
1600 J*/
1601 typedef const char *MatColoringType;
1602 #define MATCOLORINGJP      "jp"
1603 #define MATCOLORINGPOWER   "power"
1604 #define MATCOLORINGNATURAL "natural"
1605 #define MATCOLORINGSL      "sl"
1606 #define MATCOLORINGLF      "lf"
1607 #define MATCOLORINGID      "id"
1608 #define MATCOLORINGGREEDY  "greedy"
1609 
1610 /*E
1611    MatColoringWeightType - Type of weight scheme used for the coloring algorithm
1612 
1613     Values:
1614 +   `MAT_COLORING_RANDOM`  - Random weights
1615 .   `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1616 -   `MAT_COLORING_LF`      - Last-first weighting.
1617 
1618     Level: intermediate
1619 
1620 .seealso: [](chapter_matrices), `MatColoring`, `MatColoringCreate()`, `MatColoringSetWeightType()`, `MatColoringSetWeights()`
1621 E*/
1622 typedef enum {
1623   MAT_COLORING_WEIGHT_RANDOM,
1624   MAT_COLORING_WEIGHT_LEXICAL,
1625   MAT_COLORING_WEIGHT_LF,
1626   MAT_COLORING_WEIGHT_SL
1627 } MatColoringWeightType;
1628 
1629 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1630 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1631 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1632 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1633 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1634 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1635 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1636 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1637 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1638 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1639 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1640 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1641 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1642 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1643 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1644 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1645 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1646 PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
1647 {
1648   return MatColoringTest(matcoloring, iscoloring);
1649 }
1650 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);
1651 
1652 /*S
1653      MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring
1654 
1655    Level: beginner
1656 
1657    Notes:
1658    This object is creating utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`
1659 
1660    The `SNES` option `-snes_fd_coloring` will cause the Jacobian needed by `SNES` to be computed via a use of this object
1661 
1662 .seealso: [](chapter_matrices), `Mat`, `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1663 S*/
1664 typedef struct _p_MatFDColoring *MatFDColoring;
1665 
1666 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1667 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1668 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1669 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, PetscErrorCode (*)(void), void *);
1670 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, PetscErrorCode (**)(void), void **);
1671 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1672 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1673 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1674 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1675 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1676 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1677 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1678 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);
1679 
1680 /*S
1681      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1682 
1683    Level: developer
1684 
1685 .seealso: [](chapter_matrices), `Mat`, `MatProductType`, `MatTransposeColoringCreate()`
1686 S*/
1687 typedef struct _p_MatTransposeColoring *MatTransposeColoring;
1688 
1689 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1690 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1691 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1692 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);
1693 
1694 /*S
1695      MatPartitioning - Object for managing the partitioning of a matrix or graph
1696 
1697    Level: beginner
1698 
1699    Note:
1700      There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1701      via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)
1702 
1703    Developers Note:
1704      It is an extra maintenance and documentation cost to have two objects with the same functionality. `PetscPartitioner` should be removed
1705 
1706 .seealso: [](chapter_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`, `MatOrderingType`,
1707           `MatCoarsenType`, `MatCoarsenType`
1708 S*/
1709 typedef struct _p_MatPartitioning *MatPartitioning;
1710 
1711 /*J
1712     MatPartitioningType - String with the name of a PETSc matrix partitioning
1713 
1714    Level: beginner
1715 dm
1716 .seealso: [](chapter_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`, `MatColoringType`, `MatOrderingType`,
1717           `MatCoarsenType`, `MatCoarsenType`
1718 J*/
1719 typedef const char *MatPartitioningType;
1720 #define MATPARTITIONINGCURRENT  "current"
1721 #define MATPARTITIONINGAVERAGE  "average"
1722 #define MATPARTITIONINGSQUARE   "square"
1723 #define MATPARTITIONINGPARMETIS "parmetis"
1724 #define MATPARTITIONINGCHACO    "chaco"
1725 #define MATPARTITIONINGPARTY    "party"
1726 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1727 #define MATPARTITIONINGHIERARCH "hierarch"
1728 
1729 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1730 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1731 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1732 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1733 PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1734 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1735 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1736 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1737 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1738 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1739 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1740 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1741 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1742 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1743 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1744 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1745 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1746 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1747 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);
1748 
1749 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1750 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1751 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1752 
1753 typedef enum {
1754   MP_CHACO_MULTILEVEL = 1,
1755   MP_CHACO_SPECTRAL   = 2,
1756   MP_CHACO_LINEAR     = 4,
1757   MP_CHACO_RANDOM     = 5,
1758   MP_CHACO_SCATTERED  = 6
1759 } MPChacoGlobalType;
1760 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1761 typedef enum {
1762   MP_CHACO_KERNIGHAN = 1,
1763   MP_CHACO_NONE      = 2
1764 } MPChacoLocalType;
1765 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1766 typedef enum {
1767   MP_CHACO_LANCZOS = 0,
1768   MP_CHACO_RQI     = 1
1769 } MPChacoEigenType;
1770 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1771 
1772 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1773 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1774 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1775 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1776 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1777 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1778 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1779 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1780 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1781 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1782 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);
1783 
1784 #define MP_PARTY_OPT "opt"
1785 #define MP_PARTY_LIN "lin"
1786 #define MP_PARTY_SCA "sca"
1787 #define MP_PARTY_RAN "ran"
1788 #define MP_PARTY_GBF "gbf"
1789 #define MP_PARTY_GCF "gcf"
1790 #define MP_PARTY_BUB "bub"
1791 #define MP_PARTY_DEF "def"
1792 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1793 #define MP_PARTY_HELPFUL_SETS  "hs"
1794 #define MP_PARTY_KERNIGHAN_LIN "kl"
1795 #define MP_PARTY_NONE          "no"
1796 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1797 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1798 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1799 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);
1800 
1801 typedef enum {
1802   MP_PTSCOTCH_DEFAULT,
1803   MP_PTSCOTCH_QUALITY,
1804   MP_PTSCOTCH_SPEED,
1805   MP_PTSCOTCH_BALANCE,
1806   MP_PTSCOTCH_SAFETY,
1807   MP_PTSCOTCH_SCALABILITY
1808 } MPPTScotchStrategyType;
1809 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1810 
1811 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1812 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1813 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1814 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);
1815 
1816 /*
1817  * hierarchical partitioning
1818  */
1819 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1820 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1821 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1822 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1823 
1824 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);
1825 
1826 /*
1827     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1828     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1829 */
1830 typedef enum {
1831   MATOP_SET_VALUES               = 0,
1832   MATOP_GET_ROW                  = 1,
1833   MATOP_RESTORE_ROW              = 2,
1834   MATOP_MULT                     = 3,
1835   MATOP_MULT_ADD                 = 4,
1836   MATOP_MULT_TRANSPOSE           = 5,
1837   MATOP_MULT_TRANSPOSE_ADD       = 6,
1838   MATOP_SOLVE                    = 7,
1839   MATOP_SOLVE_ADD                = 8,
1840   MATOP_SOLVE_TRANSPOSE          = 9,
1841   MATOP_SOLVE_TRANSPOSE_ADD      = 10,
1842   MATOP_LUFACTOR                 = 11,
1843   MATOP_CHOLESKYFACTOR           = 12,
1844   MATOP_SOR                      = 13,
1845   MATOP_TRANSPOSE                = 14,
1846   MATOP_GETINFO                  = 15,
1847   MATOP_EQUAL                    = 16,
1848   MATOP_GET_DIAGONAL             = 17,
1849   MATOP_DIAGONAL_SCALE           = 18,
1850   MATOP_NORM                     = 19,
1851   MATOP_ASSEMBLY_BEGIN           = 20,
1852   MATOP_ASSEMBLY_END             = 21,
1853   MATOP_SET_OPTION               = 22,
1854   MATOP_ZERO_ENTRIES             = 23,
1855   MATOP_ZERO_ROWS                = 24,
1856   MATOP_LUFACTOR_SYMBOLIC        = 25,
1857   MATOP_LUFACTOR_NUMERIC         = 26,
1858   MATOP_CHOLESKY_FACTOR_SYMBOLIC = 27,
1859   MATOP_CHOLESKY_FACTOR_NUMERIC  = 28,
1860   MATOP_SETUP                    = 29,
1861   MATOP_ILUFACTOR_SYMBOLIC       = 30,
1862   MATOP_ICCFACTOR_SYMBOLIC       = 31,
1863   MATOP_GET_DIAGONAL_BLOCK       = 32,
1864   MATOP_SET_INF                  = 33,
1865   MATOP_DUPLICATE                = 34,
1866   MATOP_FORWARD_SOLVE            = 35,
1867   MATOP_BACKWARD_SOLVE           = 36,
1868   MATOP_ILUFACTOR                = 37,
1869   MATOP_ICCFACTOR                = 38,
1870   MATOP_AXPY                     = 39,
1871   MATOP_CREATE_SUBMATRICES       = 40,
1872   MATOP_INCREASE_OVERLAP         = 41,
1873   MATOP_GET_VALUES               = 42,
1874   MATOP_COPY                     = 43,
1875   MATOP_GET_ROW_MAX              = 44,
1876   MATOP_SCALE                    = 45,
1877   MATOP_SHIFT                    = 46,
1878   MATOP_DIAGONAL_SET             = 47,
1879   MATOP_ZERO_ROWS_COLUMNS        = 48,
1880   MATOP_SET_RANDOM               = 49,
1881   MATOP_GET_ROW_IJ               = 50,
1882   MATOP_RESTORE_ROW_IJ           = 51,
1883   MATOP_GET_COLUMN_IJ            = 52,
1884   MATOP_RESTORE_COLUMN_IJ        = 53,
1885   MATOP_FDCOLORING_CREATE        = 54,
1886   MATOP_COLORING_PATCH           = 55,
1887   MATOP_SET_UNFACTORED           = 56,
1888   MATOP_PERMUTE                  = 57,
1889   MATOP_SET_VALUES_BLOCKED       = 58,
1890   MATOP_CREATE_SUBMATRIX         = 59,
1891   MATOP_DESTROY                  = 60,
1892   MATOP_VIEW                     = 61,
1893   MATOP_CONVERT_FROM             = 62,
1894   /* MATOP_PLACEHOLDER_63=63 */
1895   MATOP_MATMAT_MULT_SYMBOLIC    = 64,
1896   MATOP_MATMAT_MULT_NUMERIC     = 65,
1897   MATOP_SET_LOCAL_TO_GLOBAL_MAP = 66,
1898   MATOP_SET_VALUES_LOCAL        = 67,
1899   MATOP_ZERO_ROWS_LOCAL         = 68,
1900   MATOP_GET_ROW_MAX_ABS         = 69,
1901   MATOP_GET_ROW_MIN_ABS         = 70,
1902   MATOP_CONVERT                 = 71,
1903   MATOP_HAS_OPERATION           = 72,
1904   /* MATOP_PLACEHOLDER_73=73, */
1905   MATOP_SET_VALUES_ADIFOR = 74,
1906   MATOP_FD_COLORING_APPLY = 75,
1907   MATOP_SET_FROM_OPTIONS  = 76,
1908   /* MATOP_PLACEHOLDER_77=77, */
1909   /* MATOP_PLACEHOLDER_78=78, */
1910   MATOP_FIND_ZERO_DIAGONALS       = 79,
1911   MATOP_MULT_MULTIPLE             = 80,
1912   MATOP_SOLVE_MULTIPLE            = 81,
1913   MATOP_GET_INERTIA               = 82,
1914   MATOP_LOAD                      = 83,
1915   MATOP_IS_SYMMETRIC              = 84,
1916   MATOP_IS_HERMITIAN              = 85,
1917   MATOP_IS_STRUCTURALLY_SYMMETRIC = 86,
1918   MATOP_SET_VALUES_BLOCKEDLOCAL   = 87,
1919   MATOP_CREATE_VECS               = 88,
1920   /* MATOP_PLACEHOLDER_89=89, */
1921   MATOP_MAT_MULT_SYMBOLIC = 90,
1922   MATOP_MAT_MULT_NUMERIC  = 91,
1923   /* MATOP_PLACEHOLDER_92=92, */
1924   MATOP_PTAP_SYMBOLIC = 93,
1925   MATOP_PTAP_NUMERIC  = 94,
1926   /* MATOP_PLACEHOLDER_95=95, */
1927   MATOP_MAT_TRANSPOSE_MULT_SYMBO = 96,
1928   MATOP_MAT_TRANSPOSE_MULT_NUMER = 97,
1929   MATOP_BIND_TO_CPU              = 98,
1930   MATOP_PRODUCTSETFROMOPTIONS    = 99,
1931   MATOP_PRODUCTSYMBOLIC          = 100,
1932   MATOP_PRODUCTNUMERIC           = 101,
1933   MATOP_CONJUGATE                = 102,
1934   MATOP_VIEW_NATIVE              = 103,
1935   MATOP_SET_VALUES_ROW           = 104,
1936   MATOP_REAL_PART                = 105,
1937   MATOP_IMAGINARY_PART           = 106,
1938   MATOP_GET_ROW_UPPER_TRIANGULAR = 107,
1939   MATOP_RESTORE_ROW_UPPER_TRIANG = 108,
1940   MATOP_MAT_SOLVE                = 109,
1941   MATOP_MAT_SOLVE_TRANSPOSE      = 110,
1942   MATOP_GET_ROW_MIN              = 111,
1943   MATOP_GET_COLUMN_VECTOR        = 112,
1944   MATOP_MISSING_DIAGONAL         = 113,
1945   MATOP_GET_SEQ_NONZERO_STRUCTUR = 114,
1946   MATOP_CREATE                   = 115,
1947   MATOP_GET_GHOSTS               = 116,
1948   MATOP_GET_LOCAL_SUB_MATRIX     = 117,
1949   MATOP_RESTORE_LOCALSUB_MATRIX  = 118,
1950   MATOP_MULT_DIAGONAL_BLOCK      = 119,
1951   MATOP_HERMITIAN_TRANSPOSE      = 120,
1952   MATOP_MULT_HERMITIAN_TRANSPOSE = 121,
1953   MATOP_MULT_HERMITIAN_TRANS_ADD = 122,
1954   MATOP_GET_MULTI_PROC_BLOCK     = 123,
1955   MATOP_FIND_NONZERO_ROWS        = 124,
1956   MATOP_GET_COLUMN_NORMS         = 125,
1957   MATOP_INVERT_BLOCK_DIAGONAL    = 126,
1958   MATOP_INVERT_VBLOCK_DIAGONAL   = 127,
1959   MATOP_CREATE_SUB_MATRICES_MPI  = 128,
1960   MATOP_SET_VALUES_BATCH         = 129,
1961   /* MATOP_PLACEHOLDER_130=130, */
1962   MATOP_TRANSPOSE_MAT_MULT_SYMBO = 131,
1963   MATOP_TRANSPOSE_MAT_MULT_NUMER = 132,
1964   MATOP_TRANSPOSE_COLORING_CREAT = 133,
1965   MATOP_TRANS_COLORING_APPLY_SPT = 134,
1966   MATOP_TRANS_COLORING_APPLY_DEN = 135,
1967   /* MATOP_PLACEHOLDER_136=136, */
1968   MATOP_RART_SYMBOLIC         = 137,
1969   MATOP_RART_NUMERIC          = 138,
1970   MATOP_SET_BLOCK_SIZES       = 139,
1971   MATOP_AYPX                  = 140,
1972   MATOP_RESIDUAL              = 141,
1973   MATOP_FDCOLORING_SETUP      = 142,
1974   MATOP_FIND_OFFBLOCK_ENTRIES = 143,
1975   MATOP_MPICONCATENATESEQ     = 144,
1976   MATOP_DESTROYSUBMATRICES    = 145,
1977   MATOP_TRANSPOSE_SOLVE       = 146,
1978   MATOP_GET_VALUES_LOCAL      = 147
1979 } MatOperation;
1980 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, void (*)(void));
1981 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, void (**)(void));
1982 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
1983 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
1984 PETSC_DEPRECATED_FUNCTION("Use MatProductClear() (since version 3.14)") static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
1985 {
1986   return MatProductClear(A);
1987 }
1988 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, void (*)(void));
1989 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, void (**)(void));
1990 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, void *);
1991 PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscErrorCode (*)(void *));
1992 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
1993 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
1994 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
1995 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1996 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscErrorCode (*)(void *), MatType, MatType);
1997 PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);
1998 
1999 /*
2000    Codes for matrices stored on disk. By default they are
2001    stored in a universal format. By changing the format with
2002    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
2003    be stored in a way natural for the matrix, for example dense matrices
2004    would be stored as dense. Matrices stored this way may only be
2005    read into matrices of the same type.
2006 */
2007 #define MATRIX_BINARY_FORMAT_DENSE -1
2008 
2009 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);
2010 
2011 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
2012 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
2013 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
2014 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
2015 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
2016 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
2017 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
2018 PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
2019 PETSC_EXTERN                PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat, MatReuse, Mat *);
2020 
2021 /*S
2022      MatNullSpace - Object that removes a null space from a vector, i.e.
2023          orthogonalizes the vector to a subspace
2024 
2025    Level: advanced
2026 
2027 .seealso: [](chapter_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2028 S*/
2029 typedef struct _p_MatNullSpace *MatNullSpace;
2030 
2031 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
2032 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, PetscErrorCode (*)(MatNullSpace, Vec, void *), void *);
2033 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
2034 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
2035 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
2036 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
2037 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
2038 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
2039 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
2040 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
2041 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
2042 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
2043 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
2044 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);
2045 
2046 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
2047 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
2048 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);
2049 
2050 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
2051 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
2052 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);
2053 
2054 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
2055 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);
2056 
2057 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
2058 {
2059   return MatComputeOperator(A, PETSC_NULLPTR, B);
2060 }
2061 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
2062 {
2063   return MatComputeOperatorTranspose(A, PETSC_NULLPTR, B);
2064 }
2065 
2066 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
2067 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
2068 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
2069 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2070 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
2071 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
2072 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
2073 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2074 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
2075 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
2076 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
2077 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
2078 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
2079 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);
2080 
2081 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);
2082 
2083 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2084 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
2085 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, PetscErrorCode (*)(void *, Vec, Vec), void *);
2086 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, PetscErrorCode (*)(void *, PetscInt, Vec, PetscScalar *));
2087 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, PetscErrorCode (*)(void *, Vec));
2088 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
2089 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
2090 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
2091 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
2092 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
2093 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
2094 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
2095 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, PetscErrorCode (*)(void *, Vec, Vec, PetscScalar *), void *);
2096 
2097 /*S
2098     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2099               Jacobian vector products
2100 
2101     Level: developer
2102 
2103     Notes:
2104     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure
2105 
2106      MatMFFD*() methods actually take the `Mat` as their first argument. Not a `MatMFFD` data structure
2107 
2108     This functionality is often obtained using `MatCreateSNESMF()` or with `SNES` solvers using `-snes_mf` or `-snes_mf_operator`
2109 
2110 .seealso: [](chapter_matrices), `MatMFFDType`, `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`,
2111           `MatCreateSNESMF()`, `SNES`, `-snes_mf`, `-snes_mf_operator`
2112 S*/
2113 typedef struct _p_MatMFFD *MatMFFD;
2114 
2115 /*J
2116     MatMFFDType - algorithm used to compute the `h` used in computing matrix-vector products via differencing of a function
2117 
2118    Level: beginner
2119 
2120 .seealso: [](chapter_matrices), `MatMFFDSetType()`, `MatMFFDRegister()`, `MatMFFDSetFunction()`, `MatCreateMFFD()`
2121 J*/
2122 typedef const char *MatMFFDType;
2123 #define MATMFFD_DS "ds"
2124 #define MATMFFD_WP "wp"
2125 
2126 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2127 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));
2128 
2129 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2130 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);
2131 
2132 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);
2133 
2134 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2135 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
2136 
2137 #ifdef PETSC_HAVE_H2OPUS
2138 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatH2OpusKernel)(PetscInt, PetscReal[], PetscReal[], void *);
2139 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernel, void *, PetscReal, PetscInt, PetscInt, Mat *);
2140 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2141 PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2142 PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
2143 PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat, PetscReal);
2144 PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat, PetscBool);
2145 PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat, PetscBool *);
2146 PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat, IS *);
2147 PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2148 PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2149 #endif
2150 
2151 #ifdef PETSC_HAVE_HTOOL
2152 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatHtoolKernel)(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2153 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernel, void *, Mat *);
2154 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat, MatHtoolKernel, void *);
2155 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat, IS *);
2156 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat, IS *);
2157 PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat, PetscBool);
2158 
2159 /*E
2160      MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`
2161 
2162    Level: intermediate
2163 
2164     Values:
2165 +   `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2166 .   `MAT_HTOOL_COMPRESSOR_FULL_ACA` - full adaptive cross approximation
2167 -   `MAT_HTOOL_COMPRESSOR_SVD` - singular value decomposition
2168 
2169 .seealso: [](chapter_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2170 E*/
2171 typedef enum {
2172   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2173   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2174   MAT_HTOOL_COMPRESSOR_SVD
2175 } MatHtoolCompressorType;
2176 
2177 /*E
2178      MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`
2179 
2180    Level: intermediate
2181 
2182     Values:
2183 +   `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default) - axis computed via principle component analysis, split uniformly
2184 .   `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC` - axis computed via principle component analysis, split barycentrically
2185 .   `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR` - axis along the largest extent of the bounding box, split uniformly
2186 -   `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically
2187 
2188     Note:
2189     Higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
2190 
2191 .seealso: [](chapter_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2192 E*/
2193 typedef enum {
2194   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2195   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2196   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2197   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2198 } MatHtoolClusteringType;
2199 #endif
2200 
2201 #ifdef PETSC_HAVE_MUMPS
2202 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2203 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2204 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2205 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);
2206 
2207 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2208 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2209 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2210 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2211 PETSC_EXTERN PetscErrorCode MatMumpsGetNullPivots(Mat, PetscInt *, PetscInt **);
2212 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2213 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2214 #endif
2215 
2216 #ifdef PETSC_HAVE_MKL_PARDISO
2217 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2218 #endif
2219 
2220 #ifdef PETSC_HAVE_MKL_CPARDISO
2221 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2222 #endif
2223 
2224 #ifdef PETSC_HAVE_SUPERLU
2225 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2226 #endif
2227 
2228 #ifdef PETSC_HAVE_SUPERLU_DIST
2229 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2230 #endif
2231 
2232 #ifdef PETSC_HAVE_STRUMPACK
2233 /*E
2234     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `MATSOLVERSTRUMPACK``
2235 
2236     Level: intermediate
2237 
2238     Values:
2239 +  `MAT_STRUMPACK_NATURAL` - use the current ordering
2240 .  `MAT_STRUMPACK_METIS` - use MeTis to compute an ordering
2241 .  `MAT_STRUMPACK_PARMETIS` - use ParMeTis to compute an ordering
2242 .  `MAT_STRUMPACK_SCOTCH` - use Scotch to compute an ordering
2243 .  `MAT_STRUMPACK_PTSCOTCH` - use parallel Scotch to compute an ordering
2244 -  `MAT_STRUMPACK_RCM` - use an RCM ordering
2245 
2246     Developer Note:
2247     Should be called `MatSTRUMPACKReorderingType`
2248 
2249 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetHSSRelTol()`, `MatSTRUMPACKSetReordering()`
2250 E*/
2251 typedef enum {
2252   MAT_STRUMPACK_NATURAL  = 0,
2253   MAT_STRUMPACK_METIS    = 1,
2254   MAT_STRUMPACK_PARMETIS = 2,
2255   MAT_STRUMPACK_SCOTCH   = 3,
2256   MAT_STRUMPACK_PTSCOTCH = 4,
2257   MAT_STRUMPACK_RCM      = 5
2258 } MatSTRUMPACKReordering;
2259 
2260 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2261 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2262 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat, PetscReal);
2263 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat, PetscReal rtol)
2264 {
2265   return MatSTRUMPACKSetHSSRelTol(mat, rtol);
2266 }
2267 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat, PetscReal);
2268 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat, PetscInt);
2269 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat, PetscInt hssminsize)
2270 {
2271   return MatSTRUMPACKSetHSSMinSepSize(mat, hssminsize);
2272 }
2273 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat, PetscInt);
2274 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat, PetscInt);
2275 #endif
2276 
2277 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2278 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2279 PETSC_DEPRECATED_FUNCTION("Use MatBindToCPU (since v3.13)") static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2280 {
2281   return MatBindToCPU(A, flg);
2282 }
2283 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2284 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);
2285 
2286 typedef struct _n_SplitCSRMat *PetscSplitCSRDataStructure;
2287 PETSC_EXTERN PetscErrorCode    MatCUSPARSEGetDeviceMatWrite(Mat, PetscSplitCSRDataStructure *);
2288 
2289 #ifdef PETSC_HAVE_KOKKOS_KERNELS
2290 PETSC_EXTERN PetscErrorCode MatKokkosGetDeviceMatWrite(Mat, PetscSplitCSRDataStructure *);
2291 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosSetDeviceMat(Mat, PetscSplitCSRDataStructure);
2292 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosGetDeviceMat(Mat, PetscSplitCSRDataStructure *);
2293 #endif
2294 
2295 #ifdef PETSC_HAVE_CUDA
2296 /*E
2297     MatCUSPARSEStorageFormat - indicates the storage format for `MATAIJCUSPARSE` (GPU)
2298     matrices.
2299 
2300     Values:
2301 +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2302 .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2303 -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2304 
2305     Level: intermediate
2306 
2307 .seealso: [](chapter_matrices), `MATAIJCUSPARSE`, `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2308 E*/
2309 
2310 typedef enum {
2311   MAT_CUSPARSE_CSR,
2312   MAT_CUSPARSE_ELL,
2313   MAT_CUSPARSE_HYB
2314 } MatCUSPARSEStorageFormat;
2315 
2316 /* these will be strings associated with enumerated type defined above */
2317 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2318 
2319 /*E
2320     MatCUSPARSEFormatOperation - indicates the operation of `MATAIJCUSPARSE` (GPU)
2321     matrices whose operation should use a particular storage format.
2322 
2323     Values:
2324 +   `MAT_CUSPARSE_MULT_DIAG` - sets the storage format for the diagonal matrix in the parallel MatMult
2325 .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the offdiagonal matrix in the parallel MatMult
2326 .   `MAT_CUSPARSE_MULT` - sets the storage format for the entire matrix in the serial (single GPU) MatMult
2327 -   `MAT_CUSPARSE_ALL` - sets the storage format for all `MATAIJCUSPARSE` (GPU) matrices
2328 
2329     Level: intermediate
2330 
2331 .seealso: [](chapter_matrices), `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2332 E*/
2333 typedef enum {
2334   MAT_CUSPARSE_MULT_DIAG,
2335   MAT_CUSPARSE_MULT_OFFDIAG,
2336   MAT_CUSPARSE_MULT,
2337   MAT_CUSPARSE_ALL
2338 } MatCUSPARSEFormatOperation;
2339 
2340 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2341 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2342 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2343 PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2344 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2345 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2346 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2347 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2348 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2349 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2350 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2351 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);
2352 
2353 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2354 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2355 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2356 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2357 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2358 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2359 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2360 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2361 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2362 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2363 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2364 
2365 PETSC_EXTERN PetscErrorCode MatCreateSeqSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2366 PETSC_EXTERN PetscErrorCode MatCreateSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2367 #endif
2368 
2369 #ifdef PETSC_HAVE_HIP
2370 /*E
2371     MatHIPSPARSEStorageFormat - indicates the storage format for `MATAIJHIPSPARSE` (GPU)
2372     matrices.
2373 
2374     Level: intermediate
2375 
2376     Values:
2377 +   `MAT_HIPSPARSE_CSR` - Compressed Sparse Row
2378 .   `MAT_HIPSPARSE_ELL` - Ellpack
2379 -   `MAT_HIPSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format
2380 
2381 .seealso: [](chapter_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
2382 E*/
2383 
2384 typedef enum {
2385   MAT_HIPSPARSE_CSR,
2386   MAT_HIPSPARSE_ELL,
2387   MAT_HIPSPARSE_HYB
2388 } MatHIPSPARSEStorageFormat;
2389 
2390 /* these will be strings associated with enumerated type defined above */
2391 PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];
2392 
2393 /*E
2394     MatHIPSPARSEFormatOperation - indicates the operation of `MATAIJHIPSPARSE` (GPU)
2395     matrices whose operation should use a particular storage format.
2396 
2397     Level: intermediate
2398 
2399     Values:
2400 +   `MAT_HIPSPARSE_MULT_DIAG` - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2401 .   `MAT_HIPSPARSE_MULT_OFFDIAG` - sets the storage format for the offdiagonal matrix in the parallel `MatMul()t`
2402 .   `MAT_HIPSPARSE_MULT` - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2403 -   `MAT_HIPSPARSE_ALL` - sets the storage format for all HIPSPARSE (GPU) matrices
2404 
2405 .seealso: [](chapter_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
2406 E*/
2407 typedef enum {
2408   MAT_HIPSPARSE_MULT_DIAG,
2409   MAT_HIPSPARSE_MULT_OFFDIAG,
2410   MAT_HIPSPARSE_MULT,
2411   MAT_HIPSPARSE_ALL
2412 } MatHIPSPARSEFormatOperation;
2413 
2414 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2415 PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2416 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
2417 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
2418 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2419 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2420 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
2421 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
2422 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
2423 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
2424 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
2425 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);
2426 
2427 PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2428 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2429 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
2430 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
2431 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
2432 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
2433 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
2434 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
2435 PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
2436 PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
2437 PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);
2438 #endif
2439 
2440 #if defined(PETSC_HAVE_VIENNACL)
2441 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2442 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2443 #endif
2444 
2445 #if defined(PETSC_HAVE_FFTW)
2446 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2447 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2448 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2449 #endif
2450 
2451 #if defined(PETSC_HAVE_SCALAPACK)
2452 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2453 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2454 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2455 #endif
2456 
2457 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2458 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2459 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2460 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2461 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2462 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2463 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2464 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2465 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);
2466 
2467 PETSC_EXTERN PetscErrorCode MatChop(Mat, PetscReal);
2468 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);
2469 
2470 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);
2471 
2472 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);
2473 
2474 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2475 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);
2476 
2477 PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);
2478 
2479 PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, Mat *);
2480 PETSC_EXTERN PetscErrorCode MatEliminateZeros(Mat);
2481 
2482 PETSC_EXTERN PetscErrorCode VecCreateMatDense(Vec, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar *, Mat *);
2483 #endif
2484