xref: /petsc/include/petscmat.h (revision df4cd43f92eaa320656440c40edb1046daee8f75)
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 MATDUMMY                     "dummy"
120 #define MATLMVM                      "lmvm"
121 #define MATLMVMDFP                   "lmvmdfp"
122 #define MATLMVMBFGS                  "lmvmbfgs"
123 #define MATLMVMSR1                   "lmvmsr1"
124 #define MATLMVMBROYDEN               "lmvmbroyden"
125 #define MATLMVMBADBROYDEN            "lmvmbadbroyden"
126 #define MATLMVMSYMBROYDEN            "lmvmsymbroyden"
127 #define MATLMVMSYMBADBROYDEN         "lmvmsymbadbroyden"
128 #define MATLMVMDIAGBROYDEN           "lmvmdiagbroyden"
129 #define MATCONSTANTDIAGONAL          "constantdiagonal"
130 #define MATHTOOL                     "htool"
131 #define MATH2OPUS                    "h2opus"
132 
133 /*J
134     MatSolverType - String with the name of a PETSc matrix solver type.
135 
136     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
137 
138    Level: beginner
139 
140    Note:
141    `MATSOLVERUMFPACK`, `MATSOLVERCHOLMOD`, `MATSOLVERKLU`, `MATSOLVERSPQR` form the SuiteSparse package for which you can use --download-suitesparse
142 
143 .seealso: [](sec_matfactor), [](chapter_matrices), `MatGetFactor()`, `PCFactorSetMatSolverType()`, `PCFactorGetMatSolverType()`
144 J*/
145 typedef const char *MatSolverType;
146 #define MATSOLVERSUPERLU         "superlu"
147 #define MATSOLVERSUPERLU_DIST    "superlu_dist"
148 #define MATSOLVERSTRUMPACK       "strumpack"
149 #define MATSOLVERUMFPACK         "umfpack"
150 #define MATSOLVERCHOLMOD         "cholmod"
151 #define MATSOLVERKLU             "klu"
152 #define MATSOLVERSPARSEELEMENTAL "sparseelemental"
153 #define MATSOLVERELEMENTAL       "elemental"
154 #define MATSOLVERSCALAPACK       "scalapack"
155 #define MATSOLVERESSL            "essl"
156 #define MATSOLVERLUSOL           "lusol"
157 #define MATSOLVERMUMPS           "mumps"
158 #define MATSOLVERMKL_PARDISO     "mkl_pardiso"
159 #define MATSOLVERMKL_CPARDISO    "mkl_cpardiso"
160 #define MATSOLVERPASTIX          "pastix"
161 #define MATSOLVERMATLAB          "matlab"
162 #define MATSOLVERPETSC           "petsc"
163 #define MATSOLVERBAS             "bas"
164 #define MATSOLVERCUSPARSE        "cusparse"
165 #define MATSOLVERCUSPARSEBAND    "cusparseband"
166 #define MATSOLVERCUDA            "cuda"
167 #define MATSOLVERHIPSPARSE       "hipsparse"
168 #define MATSOLVERHIPSPARSEBAND   "hipsparseband"
169 #define MATSOLVERHIP             "hip"
170 #define MATSOLVERKOKKOS          "kokkos"
171 #define MATSOLVERKOKKOSDEVICE    "kokkosdevice"
172 #define MATSOLVERSPQR            "spqr"
173 
174 /*E
175     MatFactorType - indicates what type of factorization is requested
176 
177     Level: beginner
178 
179     Values:
180 +  `MAT_FACTOR_LU` - LU factorization
181 .  `MAT_FACTOR_CHOLESKY` - Cholesky factorization
182 .  `MAT_FACTOR_ILU` - ILU factorization
183 .  `MAT_FACTOR_ICC` - incomplete Cholesky factorization
184 .  `MAT_FACTOR_ILUDT` - ILU factorization with drop tolerance
185 -  `MAT_FACTOR_QR` - QR factorization
186 
187 .seealso: [](chapter_matrices), `MatSolverType`, `MatGetFactor()`, `MatGetFactorAvailable()`, `MatSolverTypeRegister()`
188 E*/
189 typedef enum {
190   MAT_FACTOR_NONE,
191   MAT_FACTOR_LU,
192   MAT_FACTOR_CHOLESKY,
193   MAT_FACTOR_ILU,
194   MAT_FACTOR_ICC,
195   MAT_FACTOR_ILUDT,
196   MAT_FACTOR_QR,
197   MAT_FACTOR_NUM_TYPES
198 } MatFactorType;
199 PETSC_EXTERN const char *const MatFactorTypes[];
200 
201 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat, MatSolverType, MatFactorType, Mat *);
202 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat, MatSolverType, MatFactorType, PetscBool *);
203 PETSC_EXTERN PetscErrorCode MatFactorGetCanUseOrdering(Mat, PetscBool *);
204 PETSC_DEPRECATED_FUNCTION("Use MatFactorGetCanUseOrdering() (since version 3.15)") static inline PetscErrorCode MatFactorGetUseOrdering(Mat A, PetscBool *b)
205 {
206   return MatFactorGetCanUseOrdering(A, b);
207 }
208 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat, MatSolverType *);
209 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat, MatFactorType *);
210 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat, MatFactorType);
211 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatSolverFunction)(Mat, MatFactorType, Mat *);
212 PETSC_EXTERN PetscErrorCode            MatSolverTypeRegister(MatSolverType, MatType, MatFactorType, MatSolverFunction);
213 PETSC_EXTERN PetscErrorCode            MatSolverTypeGet(MatSolverType, MatType, MatFactorType, PetscBool *, PetscBool *, MatSolverFunction *);
214 typedef MatSolverType MatSolverPackage PETSC_DEPRECATED_TYPEDEF("Use MatSolverType (since version 3.9)");
215 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeRegister() (since version 3.9)") static inline PetscErrorCode MatSolverPackageRegister(MatSolverType stype, MatType mtype, MatFactorType ftype, MatSolverFunction f)
216 {
217   return MatSolverTypeRegister(stype, mtype, ftype, f);
218 }
219 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)
220 {
221   return MatSolverTypeGet(stype, mtype, ftype, foundmtype, foundstype, f);
222 }
223 
224 /*E
225     MatProductType - indicates what type of matrix product is requested
226 
227     Level: beginner
228 
229     Values:
230 +  `MATPRODUCT_AB` - product of two matrices
231 .  `MATPRODUCT_AtB` - product of the transpose of a given matrix with a matrix
232 .  `MATPRODUCT_ABt` - product of a matrix with the transpose of another given matrix
233 .  `MATPRODUCT_PtAP` - the triple product of the transpose of a matrix with another matrix and itself
234 .  `MATPRODUCT_RARt` - the triple product of a matrix, another matrix and the transpose of the first matrix
235 -  `MATPRODUCT_ABC` - the product of three matrices
236 
237 .seealso: [](sec_matmatproduct), [](chapter_matrices), `MatProductSetType()`
238 E*/
239 typedef enum {
240   MATPRODUCT_UNSPECIFIED = 0,
241   MATPRODUCT_AB,
242   MATPRODUCT_AtB,
243   MATPRODUCT_ABt,
244   MATPRODUCT_PtAP,
245   MATPRODUCT_RARt,
246   MATPRODUCT_ABC
247 } MatProductType;
248 PETSC_EXTERN const char *const MatProductTypes[];
249 
250 /*J
251     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
252 
253    Level: beginner
254 
255 .seealso: [](sec_matmatproduct), [](chapter_matrices), `MatSetType()`, `Mat`, `MatProductSetAlgorithm()`, `MatProductType`
256 J*/
257 typedef const char *MatProductAlgorithm;
258 #define MATPRODUCTALGORITHMDEFAULT         "default"
259 #define MATPRODUCTALGORITHMSORTED          "sorted"
260 #define MATPRODUCTALGORITHMSCALABLE        "scalable"
261 #define MATPRODUCTALGORITHMSCALABLEFAST    "scalable_fast"
262 #define MATPRODUCTALGORITHMHEAP            "heap"
263 #define MATPRODUCTALGORITHMBHEAP           "btheap"
264 #define MATPRODUCTALGORITHMLLCONDENSED     "llcondensed"
265 #define MATPRODUCTALGORITHMROWMERGE        "rowmerge"
266 #define MATPRODUCTALGORITHMOUTERPRODUCT    "outerproduct"
267 #define MATPRODUCTALGORITHMATB             "at*b"
268 #define MATPRODUCTALGORITHMRAP             "rap"
269 #define MATPRODUCTALGORITHMNONSCALABLE     "nonscalable"
270 #define MATPRODUCTALGORITHMSEQMPI          "seqmpi"
271 #define MATPRODUCTALGORITHMBACKEND         "backend"
272 #define MATPRODUCTALGORITHMOVERLAPPING     "overlapping"
273 #define MATPRODUCTALGORITHMMERGED          "merged"
274 #define MATPRODUCTALGORITHMALLATONCE       "allatonce"
275 #define MATPRODUCTALGORITHMALLATONCEMERGED "allatonce_merged"
276 #define MATPRODUCTALGORITHMALLGATHERV      "allgatherv"
277 #define MATPRODUCTALGORITHMCYCLIC          "cyclic"
278 #if defined(PETSC_HAVE_HYPRE)
279   #define MATPRODUCTALGORITHMHYPRE "hypre"
280 #endif
281 
282 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat, Mat, Mat, Mat *);
283 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat, Mat, Mat, Mat);
284 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat, MatProductType);
285 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat, MatProductAlgorithm);
286 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat, PetscReal);
287 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
288 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
289 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
290 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat, Mat, Mat, Mat);
291 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
292 PETSC_EXTERN PetscErrorCode MatProductView(Mat, PetscViewer);
293 PETSC_EXTERN PetscErrorCode MatProductGetType(Mat, MatProductType *);
294 PETSC_EXTERN PetscErrorCode MatProductGetMats(Mat, Mat *, Mat *, Mat *);
295 
296 /* Logging support */
297 #define MAT_FILE_CLASSID 1211216 /* used to indicate matrices in binary files */
298 PETSC_EXTERN PetscClassId MAT_CLASSID;
299 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
300 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
301 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
302 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
303 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
304 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
305 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
306 
307 /*E
308     MatReuse - Indicates if matrices obtained from a previous call to `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatConvert()` or several other functions
309      are to be reused to store the new matrix values.
310 
311    Values:
312 +  `MAT_INITIAL_MATRIX` - create a new matrix
313 .  `MAT_REUSE_MATRIX` - reuse the matrix created with a previous call that used `MAT_INITIAL_MATRIX`
314 .  `MAT_INPLACE_MATRIX` - replace the first input matrix with the new matrix (not applicable to all functions)
315 -  `MAT_IGNORE_MATRIX` - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
316 
317     Level: beginner
318 
319 .seealso: [](chapter_matrices), `Mat`, `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatDestroyMatrices()`, `MatConvert()`
320 E*/
321 typedef enum {
322   MAT_INITIAL_MATRIX,
323   MAT_REUSE_MATRIX,
324   MAT_IGNORE_MATRIX,
325   MAT_INPLACE_MATRIX
326 } MatReuse;
327 
328 /*E
329     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to `MatCreateSubMatrices()`
330      include the matrix values. Currently it is only used by `MatGetSeqNonzeroStructure()`.
331 
332     Level: developer
333 
334     Values:
335 +  `MAT_DO_NOT_GET_VALUES` - do not copy the matrix values
336 -  `MAT_GET_VALUES` - copy the matrix values
337 
338     Developer Note:
339     Why is not just a boolean used for this information?
340 
341 .seealso: [](chapter_matrices), `Mat`, `MatDuplicateOption`, `PetscCopyMode`, `MatGetSeqNonzeroStructure()`
342 E*/
343 typedef enum {
344   MAT_DO_NOT_GET_VALUES,
345   MAT_GET_VALUES
346 } MatCreateSubMatrixOption;
347 
348 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
349 
350 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm, Mat *);
351 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat, PetscInt, PetscInt, PetscInt, PetscInt);
352 PETSC_EXTERN PetscErrorCode MatSetType(Mat, MatType);
353 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat, VecType *);
354 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat, VecType);
355 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
356 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat, PetscObject, const char[]);
357 PETSC_EXTERN PetscErrorCode MatRegister(const char[], PetscErrorCode (*)(Mat));
358 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[], const char[], const char[]);
359 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat, const char[]);
360 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefixFactor(Mat, const char[]);
361 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefixFactor(Mat, const char[]);
362 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat, const char[]);
363 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat, const char *[]);
364 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat, PetscBool);
365 
366 PETSC_EXTERN PetscFunctionList MatList;
367 PETSC_EXTERN PetscFunctionList MatColoringList;
368 PETSC_EXTERN PetscFunctionList MatPartitioningList;
369 
370 /*E
371     MatStructure - Indicates if two matrices have the same nonzero structure
372 
373     Level: beginner
374 
375    Values:
376 +  `SAME_NONZERO_PATTERN`  - the two matrices have identical nonzero patterns
377 .  `DIFFERENT_NONZERO_PATTERN` - the two matrices may have different nonzero patterns
378 .  `SUBSET_NONZERO_PATTERN` - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
379 -  `UNKNOWN_NONZERO_PATTERN` - there is no known relationship between the nonzero patterns. In this case the implementations
380                                may try to detect a relationship to optimize the operation
381 
382 .seealso: [](chapter_matrices), `Mat`, `MatCopy()`, `MatAXPY()`, `MatAYPX()`
383 E*/
384 typedef enum {
385   DIFFERENT_NONZERO_PATTERN,
386   SUBSET_NONZERO_PATTERN,
387   SAME_NONZERO_PATTERN,
388   UNKNOWN_NONZERO_PATTERN
389 } MatStructure;
390 PETSC_EXTERN const char *const MatStructures[];
391 
392 #if defined                 PETSC_HAVE_MKL_SPARSE
393 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
394 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
395 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
396 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
397 #endif
398 
399 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
400 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
401 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat, PetscInt, const PetscInt[]);
402 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
403 
404 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
405 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
406 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
407 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
408 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
409 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
410 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArray(Mat, const PetscScalar[]);
411 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], PetscInt[], PetscInt[], PetscScalar[], Mat *);
412 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm, Mat, Mat, const PetscInt[], Mat *);
413 
414 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
415 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
416 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
417 
418 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat, PetscCount, PetscInt[], PetscInt[]);
419 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat, PetscCount, PetscInt[], PetscInt[]);
420 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat, const PetscScalar[], InsertMode);
421 
422 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscInt[], Mat *);
423 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
424 
425 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
426 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
427 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
428 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
429 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], const PetscInt[]);
430 
431 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, void *, Mat *);
432 PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm, PetscInt, PetscInt, Mat *);
433 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat, Mat *);
434 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat, Mat *);
435 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat, Mat, Vec, Mat, Mat *);
436 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat, Mat *, Mat *, Vec *, Mat *);
437 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, ISLocalToGlobalMapping, ISLocalToGlobalMapping, Mat *);
438 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
439 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
440 
441 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm, VecScatter, Mat *);
442 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat, VecScatter);
443 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat, VecScatter *);
444 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt *, Mat *);
445 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat, Mat);
446 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
447 typedef enum {
448   MAT_COMPOSITE_MERGE_RIGHT,
449   MAT_COMPOSITE_MERGE_LEFT
450 } MatCompositeMergeType;
451 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat, MatCompositeMergeType);
452 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm, PetscInt, const Mat *, Mat *);
453 typedef enum {
454   MAT_COMPOSITE_ADDITIVE,
455   MAT_COMPOSITE_MULTIPLICATIVE
456 } MatCompositeType;
457 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat, MatCompositeType);
458 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat, MatCompositeType *);
459 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat, MatStructure);
460 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat, MatStructure *);
461 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat, PetscInt *);
462 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat, PetscInt, Mat *);
463 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat, const PetscScalar *);
464 
465 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm, PetscInt, const PetscInt[], MatType, Mat *);
466 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm, PetscInt, const PetscInt[], Mat *);
467 
468 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat, Mat *);
469 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat, Mat *);
470 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat, Mat *);
471 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat, Mat *);
472 PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat, Mat *);
473 PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat, Mat *);
474 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat, IS, IS, Mat *);
475 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat, Mat, IS, IS);
476 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat, IS, IS, Mat *);
477 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar, Mat *);
478 
479 #if defined(PETSC_HAVE_HYPRE)
480 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
481 #endif
482 
483 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat, const char[]);
484 PETSC_EXTERN PetscErrorCode MatPythonGetType(Mat, const char *[]);
485 
486 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
487 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
488 PETSC_EXTERN PetscErrorCode MatDestroy(Mat *);
489 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat, PetscObjectState *);
490 
491 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
492 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
493 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
494 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat, Mat *);
495 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat, PetscScalar *);
496 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat, const PetscScalar **);
497 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat, PetscInt, const PetscInt *, PetscScalar *);
498 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat, Mat);
499 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat, MatReuse, Mat *);
500 
501 /* ------------------------------------------------------------*/
502 PETSC_EXTERN PetscErrorCode MatSetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
503 PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat, IS, IS, const PetscScalar[], InsertMode);
504 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
505 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat, PetscInt, const PetscScalar[]);
506 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat, PetscInt, const PetscScalar[]);
507 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt[], const PetscScalar[]);
508 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat, PetscRandom);
509 
510 /*S
511      MatStencil - Data structure (C struct) for storing information about rows and
512         columns of a matrix as indexed on an associated grid. These are arguments to `MatSetStencil()` and `MatSetBlockStencil()`
513 
514    Level: beginner
515 
516    Notes:
517    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).
518    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.
519 
520    For stencil access to vectors see `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`.
521 
522    For staggered grids, see `DMStagStencil`
523 
524    Fortran Note:
525    See `MatSetValuesStencil()` for details.
526 
527 .seealso: [](chapter_matrices), `Mat`, `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`,
528           `DMStagStencil`
529 S*/
530 typedef struct {
531   PetscInt k, j, i, c;
532 } MatStencil;
533 
534 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
535 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
536 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat, PetscInt, const PetscInt[], const PetscInt[], PetscInt);
537 
538 /*E
539     MatAssemblyType - Indicates if the process of setting values into the matrix is complete, and the matrix is ready for use
540 
541     Level: beginner
542 
543     Values:
544 +   `MAT_FLUSH_ASSEMBLY` - you will continue to put values into the matrix
545 -   `MAT_FINAL_ASSEMBLY` - you wish to use the matrix with the values currently inserted
546 
547 .seealso: [](chapter_matrices), `Mat`, `MatSetValues`, `MatAssemblyBegin()`, `MatAssemblyEnd()`
548 E*/
549 typedef enum {
550   MAT_FLUSH_ASSEMBLY = 1,
551   MAT_FINAL_ASSEMBLY = 0
552 } MatAssemblyType;
553 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat, MatAssemblyType);
554 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat, MatAssemblyType);
555 PETSC_EXTERN PetscErrorCode MatAssembled(Mat, PetscBool *);
556 
557 /*E
558     MatOption - Options that may be set for a matrix that indicate properties of the matrix or affect its behavior or storage
559 
560     Level: beginner
561 
562    Note:
563    See `MatSetOption()` for the use of the options
564 
565    Developer Note:
566    Entries that are negative need not be called collectively by all processes.
567 
568 .seealso: [](chapter_matrices), `Mat`, `MatSetOption()`
569 E*/
570 typedef enum {
571   MAT_OPTION_MIN                  = -3,
572   MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
573   MAT_ROW_ORIENTED                = -1,
574   MAT_SYMMETRIC                   = 1,
575   MAT_STRUCTURALLY_SYMMETRIC      = 2,
576   MAT_FORCE_DIAGONAL_ENTRIES      = 3,
577   MAT_IGNORE_OFF_PROC_ENTRIES     = 4,
578   MAT_USE_HASH_TABLE              = 5,
579   MAT_KEEP_NONZERO_PATTERN        = 6,
580   MAT_IGNORE_ZERO_ENTRIES         = 7,
581   MAT_USE_INODES                  = 8,
582   MAT_HERMITIAN                   = 9,
583   MAT_SYMMETRY_ETERNAL            = 10,
584   MAT_NEW_NONZERO_LOCATION_ERR    = 11,
585   MAT_IGNORE_LOWER_TRIANGULAR     = 12,
586   MAT_ERROR_LOWER_TRIANGULAR      = 13,
587   MAT_GETROW_UPPERTRIANGULAR      = 14,
588   MAT_SPD                         = 15,
589   MAT_NO_OFF_PROC_ZERO_ROWS       = 16,
590   MAT_NO_OFF_PROC_ENTRIES         = 17,
591   MAT_NEW_NONZERO_LOCATIONS       = 18,
592   MAT_NEW_NONZERO_ALLOCATION_ERR  = 19,
593   MAT_SUBSET_OFF_PROC_ENTRIES     = 20,
594   MAT_SUBMAT_SINGLEIS             = 21,
595   MAT_STRUCTURE_ONLY              = 22,
596   MAT_SORTED_FULL                 = 23,
597   MAT_FORM_EXPLICIT_TRANSPOSE     = 24,
598   MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
599   MAT_SPD_ETERNAL                 = 26,
600   MAT_OPTION_MAX                  = 27
601 } MatOption;
602 
603 PETSC_EXTERN const char *const *MatOptions;
604 PETSC_EXTERN PetscErrorCode     MatSetOption(Mat, MatOption, PetscBool);
605 PETSC_EXTERN PetscErrorCode     MatGetOption(Mat, MatOption, PetscBool *);
606 PETSC_EXTERN PetscErrorCode     MatPropagateSymmetryOptions(Mat, Mat);
607 PETSC_EXTERN PetscErrorCode     MatGetType(Mat, MatType *);
608 
609 PETSC_EXTERN PetscErrorCode    MatGetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
610 PETSC_EXTERN PetscErrorCode    MatGetRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
611 PETSC_EXTERN PetscErrorCode    MatRestoreRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
612 PETSC_EXTERN PetscErrorCode    MatGetRowUpperTriangular(Mat);
613 PETSC_EXTERN PetscErrorCode    MatRestoreRowUpperTriangular(Mat);
614 PETSC_EXTERN PetscErrorCode    MatGetColumnVector(Mat, Vec, PetscInt);
615 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArray(Mat, PetscScalar *[]);
616 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayRead(Mat, const PetscScalar *[]);
617 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayWrite(Mat, PetscScalar *[]);
618 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArray(Mat, PetscScalar *[]);
619 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayRead(Mat, const PetscScalar *[]);
620 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayWrite(Mat, PetscScalar *[]);
621 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetMaxRowNonzeros(Mat, PetscInt *);
622 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetValuesLocalFast(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
623 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetType(Mat, MatType);
624 PETSC_EXTERN PetscErrorCode    MatSeqAIJKron(Mat, Mat, MatReuse, Mat *);
625 PETSC_EXTERN PetscErrorCode    MatSeqAIJRegister(const char[], PetscErrorCode (*)(Mat, MatType, MatReuse, Mat *));
626 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
627 PETSC_EXTERN PetscErrorCode    MatSeqBAIJGetArray(Mat, PetscScalar *[]);
628 PETSC_EXTERN PetscErrorCode    MatSeqBAIJRestoreArray(Mat, PetscScalar *[]);
629 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJGetArray(Mat, PetscScalar *[]);
630 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJRestoreArray(Mat, PetscScalar *[]);
631 PETSC_EXTERN PetscErrorCode    MatDenseGetArray(Mat, PetscScalar *[]);
632 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArray(Mat, PetscScalar *[]);
633 PETSC_EXTERN PetscErrorCode    MatDensePlaceArray(Mat, const PetscScalar[]);
634 PETSC_EXTERN PetscErrorCode    MatDenseReplaceArray(Mat, const PetscScalar[]);
635 PETSC_EXTERN PetscErrorCode    MatDenseResetArray(Mat);
636 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayRead(Mat, const PetscScalar *[]);
637 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayRead(Mat, const PetscScalar *[]);
638 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWrite(Mat, PetscScalar *[]);
639 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWrite(Mat, PetscScalar *[]);
640 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayAndMemType(Mat, PetscScalar *[], PetscMemType *);
641 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayAndMemType(Mat, PetscScalar *[]);
642 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayReadAndMemType(Mat, const PetscScalar *[], PetscMemType *);
643 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayReadAndMemType(Mat, const PetscScalar *[]);
644 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWriteAndMemType(Mat, PetscScalar *[], PetscMemType *);
645 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWriteAndMemType(Mat, PetscScalar *[]);
646 PETSC_EXTERN PetscErrorCode    MatGetBlockSize(Mat, PetscInt *);
647 PETSC_EXTERN PetscErrorCode    MatSetBlockSize(Mat, PetscInt);
648 PETSC_EXTERN PetscErrorCode    MatGetBlockSizes(Mat, PetscInt *, PetscInt *);
649 PETSC_EXTERN PetscErrorCode    MatSetBlockSizes(Mat, PetscInt, PetscInt);
650 PETSC_EXTERN PetscErrorCode    MatSetBlockSizesFromMats(Mat, Mat, Mat);
651 PETSC_EXTERN PetscErrorCode    MatSetVariableBlockSizes(Mat, PetscInt, PetscInt *);
652 PETSC_EXTERN PetscErrorCode    MatGetVariableBlockSizes(Mat, PetscInt *, const PetscInt **);
653 
654 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat, PetscInt, PetscScalar *[]);
655 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat, PetscScalar *[]);
656 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat, PetscInt, Vec *);
657 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat, PetscInt, Vec *);
658 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat, PetscInt, Vec *);
659 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat, PetscInt, Vec *);
660 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat, PetscInt, Vec *);
661 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat, PetscInt, Vec *);
662 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
663 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat, Mat *);
664 
665 PETSC_EXTERN PetscErrorCode MatMult(Mat, Vec, Vec);
666 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat, Vec, Vec);
667 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat, Vec, Vec, Vec);
668 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat, Vec, Vec);
669 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat, Vec, Vec);
670 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat, Mat, PetscReal, PetscBool *);
671 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat, Mat, PetscReal, PetscBool *);
672 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat, Vec, Vec, Vec);
673 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat, Vec, Vec, Vec);
674 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat, Mat, Mat);
675 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat, Mat, Mat);
676 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat, Mat, Mat);
677 PETSC_EXTERN PetscErrorCode MatResidual(Mat, Vec, Vec, Vec);
678 
679 /*E
680     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
681   its numerical values copied over or just its nonzero structure.
682 
683     Level: beginner
684 
685     Values:
686 +   `MAT_DO_NOT_COPY_VALUES`    - Create a matrix using the same nonzero pattern as the original matrix,
687                                with zeros for the numerical values
688 .   `MAT_COPY_VALUES`           - Create a matrix with the same nonzero pattern as the original matrix
689                                and with the same numerical values.
690 -   `MAT_SHARE_NONZERO_PATTERN` - Create a matrix that shares the nonzero structure with the previous matrix
691                                and does not copy it, using zeros for the numerical values. The parent and
692                                child matrices will share their index (i and j) arrays, and you cannot
693                                insert new nonzero entries into either matrix
694 
695   Note:
696   Many matrix types (including `MATSEQAIJ`) do not support the `MAT_SHARE_NONZERO_PATTERN` optimization; in
697   this case the behavior is as if `MAT_DO_NOT_COPY_VALUES` has been specified.
698 
699 .seealso: [](chapter_matrices), `Mat`, `MatDuplicate()`
700 E*/
701 typedef enum {
702   MAT_DO_NOT_COPY_VALUES,
703   MAT_COPY_VALUES,
704   MAT_SHARE_NONZERO_PATTERN
705 } MatDuplicateOption;
706 
707 PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
708 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);
709 
710 PETSC_EXTERN PetscErrorCode MatCopy(Mat, Mat, MatStructure);
711 PETSC_EXTERN PetscErrorCode MatView(Mat, PetscViewer);
712 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat, PetscReal, PetscBool *);
713 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat, PetscBool *);
714 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat, PetscReal, PetscBool *);
715 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat, PetscBool *, PetscBool *);
716 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat, PetscBool *, PetscBool *);
717 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat, PetscBool *, PetscBool *);
718 PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat, PetscBool *, PetscBool *);
719 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat, PetscBool *, PetscInt *);
720 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
721 
722 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
723 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
724 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
725 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
726 
727 /*S
728      MatInfo - Context of matrix information, used with `MatGetInfo()`
729 
730    Level: intermediate
731 
732    Fortran Note:
733    Information is stored as a double-precision array of dimension `MAT_INFO_SIZE`
734 
735 .seealso: [](chapter_matrices), `Mat`, `MatGetInfo()`, `MatInfoType`
736 S*/
737 typedef struct {
738   PetscLogDouble block_size;                          /* block size */
739   PetscLogDouble nz_allocated, nz_used, nz_unneeded;  /* number of nonzeros */
740   PetscLogDouble memory;                              /* memory allocated */
741   PetscLogDouble assemblies;                          /* number of matrix assemblies called */
742   PetscLogDouble mallocs;                             /* number of mallocs during MatSetValues() */
743   PetscLogDouble fill_ratio_given, fill_ratio_needed; /* fill ratio for LU/ILU */
744   PetscLogDouble factor_mallocs;                      /* number of mallocs during factorization */
745 } MatInfo;
746 
747 /*E
748     MatInfoType - Indicates if you want information about the local part of the matrix,
749      the entire parallel matrix or the maximum over all the local parts.
750 
751     Level: beginner
752 
753     Values:
754 +   `MAT_LOCAL` - values for each MPI process part of the matrix
755 .   `MAT_GLOBAL_MAX` - maximum of each value over all MPI processes
756 -   `MAT_GLOBAL_SUM` - sum of each value over all MPI processes
757 
758 .seealso: [](chapter_matrices), `MatGetInfo()`, `MatInfo`
759 E*/
760 typedef enum {
761   MAT_LOCAL      = 1,
762   MAT_GLOBAL_MAX = 2,
763   MAT_GLOBAL_SUM = 3
764 } MatInfoType;
765 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat, MatInfoType, MatInfo *);
766 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat, Vec);
767 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat, Vec, PetscInt[]);
768 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat, Vec, PetscInt[]);
769 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat, Vec, PetscInt[]);
770 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat, Vec, PetscInt[]);
771 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat, Vec);
772 PETSC_EXTERN PetscErrorCode MatTranspose(Mat, MatReuse, Mat *);
773 PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat, Mat *);
774 PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat, Mat);
775 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat, MatReuse, Mat *);
776 PETSC_EXTERN PetscErrorCode MatPermute(Mat, IS, IS, Mat *);
777 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat, Vec, Vec);
778 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat, Vec, InsertMode);
779 
780 PETSC_EXTERN PetscErrorCode MatEqual(Mat, Mat, PetscBool *);
781 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat, Mat, PetscInt, PetscBool *);
782 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat, Mat, PetscInt, PetscBool *);
783 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
784 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
785 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
786 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
787 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
788 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
789 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
790 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
791 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
792 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat, PetscInt, PetscBool *);
793 
794 PETSC_EXTERN PetscErrorCode MatNorm(Mat, NormType, PetscReal *);
795 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat, NormType, PetscReal *);
796 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat, PetscScalar *);
797 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat, PetscReal *);
798 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat, PetscReal *);
799 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat, PetscScalar *);
800 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat, PetscReal *);
801 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat, PetscReal *);
802 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat, PetscInt, PetscReal *);
803 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
804 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
805 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
806 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat, IS, PetscScalar, Vec, Vec);
807 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
808 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
809 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
810 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat, IS, PetscScalar, Vec, Vec);
811 
812 PETSC_EXTERN PetscErrorCode MatGetSize(Mat, PetscInt *, PetscInt *);
813 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat, PetscInt *, PetscInt *);
814 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat, PetscInt *, PetscInt *);
815 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat, const PetscInt **);
816 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat, PetscInt *, PetscInt *);
817 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat, const PetscInt **);
818 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat, IS *, IS *);
819 
820 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
821 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[])
822 {
823   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
824 }
825 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
826 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[])
827 {
828   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
829 }
830 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
831 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
832 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
833 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatrix() (since version 3.8)") static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat)
834 {
835   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
836 }
837 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
838 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
839 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
840 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);
841 
842 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm, Mat, PetscInt, PetscInt, MatReuse, Mat *);
843 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm, Mat, PetscInt, PetscInt, Mat *);
844 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat, Mat);
845 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat, MatReuse, Mat *);
846 PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat, Mat *);
847 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
848 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat, MatReuse, IS *, Mat *);
849 PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat, PetscCount *);
850 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat, Mat, MatReuse, IS *, IS *, Mat *);
851 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *, const PetscInt *[]);
852 
853 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
854 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat, PetscInt n, IS is[], PetscInt ov);
855 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);
856 
857 PETSC_EXTERN PetscErrorCode MatMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
858 
859 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
860 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
861 
862 PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
863 PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);
864 
865 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
866 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);
867 
868 PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
869 PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);
870 
871 PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
872 PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);
873 
874 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping, ISLocalToGlobalMapping);
875 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
876 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat, PetscLayout *, PetscLayout *);
877 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat, PetscLayout, PetscLayout);
878 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
879 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
880 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
881 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
882 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
883 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
884 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
885 
886 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
887 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);
888 
889 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat, Vec, Vec);
890 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat, Vec, Vec, Vec);
891 PETSC_EXTERN PetscErrorCode MatRestrict(Mat, Vec, Vec);
892 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat, Mat, Mat *);
893 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat, Mat, Mat, Mat *);
894 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat, Mat, Mat *);
895 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat, Vec *, Vec *);
896 PETSC_DEPRECATED_FUNCTION("Use MatCreateVecs() (since version 3.6)") static inline PetscErrorCode MatGetVecs(Mat mat, Vec *x, Vec *y)
897 {
898   return MatCreateVecs(mat, x, y);
899 }
900 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat, PetscInt, MPI_Comm, MatReuse, Mat *);
901 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat, MPI_Comm, MatReuse, Mat *);
902 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat, IS *);
903 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat, IS *);
904 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm, Mat, PetscInt, MatReuse, Mat *);
905 
906 /*MC
907    MatSetValue - Set a single entry into a matrix.
908 
909    Not collective
910 
911    Synopsis:
912      #include <petscmat.h>
913      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
914 
915    Input Parameters:
916 +  m - the matrix
917 .  row - the row location of the entry
918 .  col - the column location of the entry
919 .  value - the value to insert
920 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
921 
922    Level: beginner
923 
924    Note:
925    For efficiency one should use `MatSetValues()` and set several values simultaneously.
926 
927 .seealso: [](chapter_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd`, `InsertMode`, `MatGetValue()`, `MatSetValues()`,
928           `MatSetValueLocal()`, `MatSetValuesLocal()`
929 M*/
930 static inline PetscErrorCode MatSetValue(Mat v, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
931 {
932   return MatSetValues(v, 1, &i, 1, &j, &va, mode);
933 }
934 
935 /*@C
936    MatGetValue - Gets a single value from a matrix
937 
938    Not Collective; can only return a value owned by the given process
939 
940    Input Parameters:
941 +  mat - the matrix
942 .  row - the row location of the entry
943 -  col - the column location of the entry
944 
945    Output Parameter:
946 .  va - the value
947 
948    Level: advanced
949 
950    Notes:
951    The matrix must have been assembled with `MatAssemblyBegin()` and `MatAssemblyEnd` before this call
952 
953    For efficiency one should use `MatGetValues()` and get several values simultaneously.
954 
955    See notes for `MatGetValues()`.
956 
957 .seealso: [](chapter_matrices),  `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd`, `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
958 @*/
959 static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
960 {
961   return MatGetValues(mat, 1, &row, 1, &col, va);
962 }
963 
964 /*MC
965    MatSetValueLocal - Inserts or adds a single value into a matrix, using a local numbering of the nodes.
966 
967    Not Collective
968 
969    Input Parameters:
970 +  m - the matrix
971 .  row - the row location of the entry
972 .  col - the column location of the entry
973 .  value - the value to insert
974 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
975 
976    Level: intermediate
977 
978    Notes:
979    For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.
980 
981    See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.
982 
983 .seealso: [](chapter_matrices), `MatSetValue()`, `MatSetValuesLocal()`
984 M*/
985 static inline PetscErrorCode MatSetValueLocal(Mat v, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
986 {
987   return MatSetValuesLocal(v, 1, &i, 1, &j, &va, mode);
988 }
989 
990 /*MC
991    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
992        row in a matrix providing the data that one can use to correctly preallocate the matrix.
993 
994    Synopsis:
995    #include <petscmat.h>
996    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
997 
998    Collective
999 
1000    Input Parameters:
1001 +  comm - the communicator that will share the eventually allocated matrix
1002 .  nrows - the number of LOCAL rows in the matrix
1003 -  ncols - the number of LOCAL columns in the matrix
1004 
1005    Output Parameters:
1006 +  dnz - the array that will be passed to the matrix preallocation routines
1007 -  onz - the other array passed to the matrix preallocation routines
1008 
1009    Level: deprecated (since v3.19)
1010 
1011    Notes:
1012    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1013    the use of this routine
1014 
1015    This is a macro that handles its own error checking, it does not return an error code.
1016 
1017    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1018 
1019    Developer Note:
1020     This is a MACRO not a function because it has a leading { that is closed by `PetscPreallocateFinalize()`.
1021 
1022 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1023           `MatPreallocateSymmetricSetLocalBlock()`
1024 M*/
1025 #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
1026   do { \
1027     PetscInt              __nrows = (nrows), __ncols = (ncols), __rstart, __end = 0; \
1028     PetscInt PETSC_UNUSED __start; \
1029     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
1030     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
1031     __start = __end - __ncols; \
1032     (void)__start; \
1033     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
1034   __rstart -= __nrows
1035 
1036 #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateBegin() (since version 3.18)\"") MatPreallocateBegin(__VA_ARGS__)
1037 
1038 /*MC
1039    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1040        inserted using a local number of the rows and columns
1041 
1042    Synopsis:
1043    #include <petscmat.h>
1044    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1045 
1046    Not Collective
1047 
1048    Input Parameters:
1049 +  map - the row mapping from local numbering to global numbering
1050 .  nrows - the number of rows indicated
1051 .  rows - the indices of the rows
1052 .  cmap - the column mapping from local to global numbering
1053 .  ncols - the number of columns in the matrix
1054 .  cols - the columns indicated
1055 .  dnz - the array that will be passed to the matrix preallocation routines
1056 -  onz - the other array passed to the matrix preallocation routines
1057 
1058    Level: deprecated (since v3.19)
1059 
1060    Notes:
1061    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1062    the use of this routine
1063 
1064    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1065 
1066 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1067           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
1068 M*/
1069 #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1070   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));)
1071 
1072 /*MC
1073    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1074        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
1075 
1076    Synopsis:
1077    #include <petscmat.h>
1078    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1079 
1080    Not Collective
1081 
1082    Input Parameters:
1083 +  map - the row mapping from local numbering to global numbering
1084 .  nrows - the number of rows indicated
1085 .  rows - the indices of the rows (these values are mapped to the global values)
1086 .  cmap - the column mapping from local to global numbering
1087 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1088 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1089 .  dnz - the array that will be passed to the matrix preallocation routines
1090 -  onz - the other array passed to the matrix preallocation routines
1091 
1092    Level: deprecated (since v3.19)
1093 
1094    Notes:
1095    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1096    the use of this routine
1097 
1098    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1099 
1100 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1101           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1102 M*/
1103 #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1104   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));)
1105 
1106 /*MC
1107    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1108        inserted using a local number of the rows and columns
1109 
1110    Synopsis:
1111    #include <petscmat.h>
1112    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1113 
1114    Not Collective
1115 
1116    Input Parameters:
1117 +  map - the row mapping from local numbering to global numbering
1118 .  nrows - the number of rows indicated
1119 .  rows - the indices of the rows
1120 .  cmap - the column mapping from local to global numbering
1121 .  ncols - the number of columns in the matrix
1122 .  cols - the columns indicated
1123 .  dnz - the array that will be passed to the matrix preallocation routines
1124 -  onz - the other array passed to the matrix preallocation routines
1125 
1126    Level: deprecated (since v3.19)
1127 
1128    Notes:
1129    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1130    the use of this routine
1131 
1132    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1133 
1134 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1135           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1136 M*/
1137 #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1138   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));)
1139 
1140 /*MC
1141    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1142        inserted using a local number of the rows and columns
1143 
1144    Synopsis:
1145    #include <petscmat.h>
1146    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1147 
1148    Not Collective
1149 
1150    Input Parameters:
1151 +  map - the mapping between local numbering and global numbering
1152 .  nrows - the number of rows indicated
1153 .  rows - the indices of the rows
1154 .  ncols - the number of columns in the matrix
1155 .  cols - the columns indicated
1156 .  dnz - the array that will be passed to the matrix preallocation routines
1157 -  onz - the other array passed to the matrix preallocation routines
1158 
1159    Level: deprecated (since v3.19)
1160 
1161    Notes:
1162    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1163    the use of this routine
1164 
1165    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1166 
1167 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`
1168           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1169 M*/
1170 #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1171   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));)
1172 
1173 /*MC
1174    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1175        inserted using a local number of the rows and columns
1176 
1177    Synopsis:
1178    #include <petscmat.h>
1179    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1180 
1181    Not Collective
1182 
1183    Input Parameters:
1184 +  row - the row
1185 .  ncols - the number of columns in the matrix
1186 -  cols - the columns indicated
1187 
1188    Output Parameters:
1189 +  dnz - the array that will be passed to the matrix preallocation routines
1190 -  onz - the other array passed to the matrix preallocation routines
1191 
1192    Level: deprecated (since v3.19)
1193 
1194    Notes:
1195    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1196    the use of this routine
1197 
1198    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1199 
1200    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1201 
1202 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1203           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1204 M*/
1205 #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1206   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) { \
1207     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1208     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1209   })
1210 
1211 /*MC
1212    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1213        inserted using a local number of the rows and columns
1214 
1215    Synopsis:
1216    #include <petscmat.h>
1217    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1218 
1219    Not Collective
1220 
1221    Input Parameters:
1222 +  nrows - the number of rows indicated
1223 .  rows - the indices of the rows
1224 .  ncols - the number of columns in the matrix
1225 .  cols - the columns indicated
1226 .  dnz - the array that will be passed to the matrix preallocation routines
1227 -  onz - the other array passed to the matrix preallocation routines
1228 
1229    Level: deprecated (since v3.19)
1230 
1231    Notes:
1232    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1233    the use of this routine
1234 
1235    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1236 
1237    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1238 
1239 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1240           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1241 M*/
1242 #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1243   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
1244     if (cols[__i] >= __end) onz[row - __rstart]++; \
1245     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1246   })
1247 
1248 /*MC
1249    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1250 
1251    Synopsis:
1252    #include <petscmat.h>
1253    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1254 
1255    Not Collective
1256 
1257    Input Parameters:
1258 +  A - matrix
1259 .  row - row where values exist (must be local to this process)
1260 .  ncols - number of columns
1261 .  cols - columns with nonzeros
1262 .  dnz - the array that will be passed to the matrix preallocation routines
1263 -  onz - the other array passed to the matrix preallocation routines
1264 
1265    Level: deprecated (since v3.19)
1266 
1267    Notes:
1268    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1269    the use of this routine
1270 
1271    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1272 
1273    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
1274 
1275 .seealso: [](chapter_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1276           `MatPreallocateSymmetricSetLocalBlock()`
1277 M*/
1278 #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))
1279 
1280 /*MC
1281    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1282        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1283 
1284    Synopsis:
1285    #include <petscmat.h>
1286    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)
1287 
1288    Collective
1289 
1290    Input Parameters:
1291 +  dnz - the array that was be passed to the matrix preallocation routines
1292 -  onz - the other array passed to the matrix preallocation routines
1293 
1294    Level: deprecated (since v3.19)
1295 
1296    Notes:
1297    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1298    the use of this routine
1299 
1300    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1301 
1302    Developer Note:
1303     This is a MACRO not a function because it closes the { started in MatPreallocateBegin().
1304 
1305 .seealso: [](chapter_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1306           `MatPreallocateSymmetricSetLocalBlock()`
1307 M*/
1308 #define MatPreallocateEnd(dnz, onz) \
1309   PetscCall(PetscFree2(dnz, onz)); \
1310   } \
1311   while (0)
1312 
1313 #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateEnd() (since version 3.18)\"") MatPreallocateEnd(__VA_ARGS__)
1314 
1315 /* Routines unique to particular data structures */
1316 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, void *);
1317 
1318 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1319 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);
1320 
1321 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1322 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1323 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1324 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1325 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1326 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscInt, PetscBool);
1327 
1328 #define MAT_SKIP_ALLOCATION -4
1329 
1330 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1331 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1332 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1333 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);
1334 
1335 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1336 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1337 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1338 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1339 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1340 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1341 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1342 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1343 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1344 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1345 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1346 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1347 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1348 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1349 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);
1350 
1351 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1352 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1353 PETSC_DEPRECATED_FUNCTION("Use MatDenseSetLDA() (since version 3.14)") static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
1354 {
1355   return MatDenseSetLDA(A, lda);
1356 }
1357 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);
1358 
1359 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1360 
1361 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1362 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1363 
1364 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1365 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1366 /*
1367   These routines are not usually accessed directly, rather solving is
1368   done through the KSP and PC interfaces.
1369 */
1370 
1371 /*J
1372     MatOrderingType - String with the name of a PETSc matrix ordering. These orderings are most commonly used
1373     to reduce fill in sparse factorizations.
1374 
1375    Level: beginner
1376 
1377    Notes:
1378    If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and instead the external package called utilizes one
1379    in the external the factorization package
1380 
1381    There is no `MatOrdering` object, the ordering is obtained directly from the matrix with `MatGetOrdering()`
1382 
1383    Developer Note:
1384    This API should be converted to an API similar to those for `MatColoring` and `MatPartitioning`
1385 
1386 .seealso: [](chapter_matrices), [](sec_graph), `MatGetFactor()`, `MatGetOrdering()`, `MatColoringType`, `MatPartitioningType`, `MatCoarsenType`, `MatCoarsenType`,
1387           `PCFactorSetOrderingType()`
1388 J*/
1389 typedef const char *MatOrderingType;
1390 #define MATORDERINGNATURAL       "natural"
1391 #define MATORDERINGND            "nd"
1392 #define MATORDERING1WD           "1wd"
1393 #define MATORDERINGRCM           "rcm"
1394 #define MATORDERINGQMD           "qmd"
1395 #define MATORDERINGROWLENGTH     "rowlength"
1396 #define MATORDERINGWBM           "wbm"
1397 #define MATORDERINGSPECTRAL      "spectral"
1398 #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1399 #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1400 #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 */
1401 #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */
1402 
1403 PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1404 PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1405 PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1406 PETSC_EXTERN PetscFunctionList MatOrderingList;
1407 
1408 #include "petscmatcoarsen.h"
1409 
1410 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1411 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);
1412 
1413 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);
1414 
1415 /*S
1416     MatFactorShiftType - Type of numeric shift used for factorizations
1417 
1418    Values:
1419 +  `MAT_SHIFT_NONE` - do not shift the matrix diagonal entries
1420 .  `MAT_SHIFT_NONZERO` - shift the entries to be non-zero
1421 .  `MAT_SHIFT_POSITIVE_DEFINITE` - shift the entries to force the factorization to be positive definite
1422 -  `MAT_SHIFT_INBLOCKS` - only shift the factors inside the small dense diagonal blocks of the matrix, for example with `MATBAIJ`
1423 
1424    Level: intermediate
1425 
1426 .seealso: [](chapter_matrices), `Mat`, `MatGetFactor()`, `PCFactorSetShiftType()`
1427 S*/
1428 typedef enum {
1429   MAT_SHIFT_NONE,
1430   MAT_SHIFT_NONZERO,
1431   MAT_SHIFT_POSITIVE_DEFINITE,
1432   MAT_SHIFT_INBLOCKS
1433 } MatFactorShiftType;
1434 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1435 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1436 
1437 /*S
1438     MatFactorError - indicates what type of error was generated in a matrix factorization
1439 
1440     Values:
1441 +   `MAT_FACTOR_NOERROR` - there was no error during the factorization
1442 .   `MAT_FACTOR_STRUCT_ZEROPIVOT` - there was a missing entry in a diagonal location of the matrix
1443 .   `MAT_FACTOR_NUMERIC_ZEROPIVOT` - there was a (near) zero pivot during the factorization
1444 .   `MAT_FACTOR_OUTMEMORY` - the factorization has run out of memory
1445 -   `MAT_FACTOR_OTHER` - some other error has occurred.
1446 
1447     Level: intermediate
1448 
1449     Note:
1450     When a factorization is done in a preconditioner `PC` the error may be propagated up to a `PCFailedReason` or a `KSPConvergedReason`
1451 
1452 .seealso: [](chapter_matrices), `Mat`, `MatGetFactor()`, `MatFactorGetError()`, `MatFactorGetErrorZeroPivot()`, `MatFactorClearError()`,
1453           `PCFailedReason`, `PCGetFailedReason()`, `KSPConvergedReason`
1454 S*/
1455 typedef enum {
1456   MAT_FACTOR_NOERROR,
1457   MAT_FACTOR_STRUCT_ZEROPIVOT,
1458   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1459   MAT_FACTOR_OUTMEMORY,
1460   MAT_FACTOR_OTHER
1461 } MatFactorError;
1462 
1463 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1464 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1465 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);
1466 
1467 /*S
1468    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1469 
1470    Level: developer
1471 
1472    Note:
1473    You can use `MatFactorInfoInitialize()` to set default values.
1474 
1475    Fortran Note:
1476    The data is available in a double precision arrays of size `MAT_FACTORINFO_SIZE`
1477 
1478 .seealso: [](chapter_matrices), `Mat`, `MatInfo`, `MatGetFactor()`, `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`,
1479           `MatICCFactorSymbolic()`, `MatICCFactor()`,  `MatFactorInfoInitialize()`
1480 S*/
1481 typedef struct {
1482   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1483   PetscReal usedt;
1484   PetscReal dt;            /* drop tolerance */
1485   PetscReal dtcol;         /* tolerance for pivoting */
1486   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1487   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1488   PetscReal levels;        /* ICC/ILU(levels) */
1489   PetscReal pivotinblocks; /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1490                                    factorization may be faster if do not pivot */
1491   PetscReal zeropivot;     /* pivot is called zero if less than this */
1492   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1493   PetscReal shiftamount;   /* how large the shift is */
1494 } MatFactorInfo;
1495 
1496 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1497 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1498 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1499 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1500 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1501 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1502 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1503 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1504 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1505 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1506 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1507 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1508 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1509 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1510 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1511 PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1512 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1513 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1514 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1515 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1516 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1517 PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1518 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1519 
1520 typedef enum {
1521   MAT_FACTOR_SCHUR_UNFACTORED,
1522   MAT_FACTOR_SCHUR_FACTORED,
1523   MAT_FACTOR_SCHUR_INVERTED
1524 } MatFactorSchurStatus;
1525 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1526 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1527 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1528 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1529 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1530 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1531 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1532 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1533 
1534 PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1535 /*E
1536     MatSORType - What type of (S)SOR to perform
1537 
1538    Values:
1539 +  `SOR_FORWARD_SWEEP` - do a sweep from the first row of the matrix to the last
1540 .  `SOR_BACKWARD_SWEEP` -  do a sweep from the last row to the first
1541 .  `SOR_SYMMETRIC_SWEEP` - do a sweep from the first row to the last and then back to the first
1542 .  `SOR_LOCAL_FORWARD_SWEEP` - each MPI rank does its own forward sweep with no communication
1543 .  `SOR_LOCAL_BACKWARD_SWEEP` - each MPI rank does its own backward sweep with no communication
1544 .  `SOR_LOCAL_SYMMETRIC_SWEEP` - each MPI rank does its own symmetric sweep with no communication
1545 .  `SOR_ZERO_INITIAL_GUESS` - indicates the initial solution is zero so the sweep can avoid unneeded computation
1546 .  `SOR_EISENSTAT` - apply the Eisentat application of SOR, see `PCEISENSTAT`
1547 .  `SOR_APPLY_UPPER` - multiply by the upper triangular portion of the matrix
1548 -  `SOR_APPLY_LOWER` - multiply by the lower triangular portion of the matrix
1549 
1550     Level: beginner
1551 
1552    Note:
1553    These may be bitwise ORd together
1554 
1555    Developer Note:
1556    Since `MatSORType` may be bitwise ORd together, so do not change the numerical values below
1557 
1558 .seealso: [](chapter_matrices), `MatSOR()`
1559 E*/
1560 typedef enum {
1561   SOR_FORWARD_SWEEP         = 1,
1562   SOR_BACKWARD_SWEEP        = 2,
1563   SOR_SYMMETRIC_SWEEP       = 3,
1564   SOR_LOCAL_FORWARD_SWEEP   = 4,
1565   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1566   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1567   SOR_ZERO_INITIAL_GUESS    = 16,
1568   SOR_EISENSTAT             = 32,
1569   SOR_APPLY_UPPER           = 64,
1570   SOR_APPLY_LOWER           = 128
1571 } MatSORType;
1572 PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);
1573 
1574 /*S
1575      MatColoring - Object for managing the coloring of matrices.
1576 
1577    Level: beginner
1578 
1579    Notes:
1580    Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1581    matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).
1582 
1583    Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1584    same object can also be used to efficiently convert data created by Automatic Differentiation tools to PETSc sparse matrices.
1585 
1586 .seealso: [](chapter_matrices), [](sec_graph), `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`,
1587           `MatPartitioning`, `MatColoringType`, `MatPartitioningType`, `MatOrderingType`,  `MatColoringSetWeightType()`,
1588           `MatColoringSetWeights()`, `MatCoarsenType`,  `MatCoarsen`
1589 S*/
1590 typedef struct _p_MatColoring *MatColoring;
1591 
1592 /*J
1593     MatColoringType - String with the name of a PETSc matrix coloring
1594 
1595    Level: beginner
1596 
1597 .seealso: [](chapter_matrices), [](sec_graph), `Mat`, `MatFDColoringCreate()`, `MatColoringSetType()`, `MatColoring`
1598 J*/
1599 typedef const char *MatColoringType;
1600 #define MATCOLORINGJP      "jp"
1601 #define MATCOLORINGPOWER   "power"
1602 #define MATCOLORINGNATURAL "natural"
1603 #define MATCOLORINGSL      "sl"
1604 #define MATCOLORINGLF      "lf"
1605 #define MATCOLORINGID      "id"
1606 #define MATCOLORINGGREEDY  "greedy"
1607 
1608 /*E
1609    MatColoringWeightType - Type of weight scheme used for the coloring algorithm
1610 
1611     Values:
1612 +   `MAT_COLORING_RANDOM`  - Random weights
1613 .   `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1614 -   `MAT_COLORING_LF`      - Last-first weighting.
1615 
1616     Level: intermediate
1617 
1618 .seealso: [](chapter_matrices), `MatColoring`, `MatColoringCreate()`, `MatColoringSetWeightType()`, `MatColoringSetWeights()`
1619 E*/
1620 typedef enum {
1621   MAT_COLORING_WEIGHT_RANDOM,
1622   MAT_COLORING_WEIGHT_LEXICAL,
1623   MAT_COLORING_WEIGHT_LF,
1624   MAT_COLORING_WEIGHT_SL
1625 } MatColoringWeightType;
1626 
1627 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1628 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1629 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1630 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1631 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1632 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1633 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1634 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1635 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1636 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1637 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1638 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1639 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1640 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1641 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1642 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1643 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1644 PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
1645 {
1646   return MatColoringTest(matcoloring, iscoloring);
1647 }
1648 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);
1649 
1650 /*S
1651      MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring
1652 
1653    Level: beginner
1654 
1655    Notes:
1656    This object is creating utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`
1657 
1658    The `SNES` option `-snes_fd_coloring` will cause the Jacobian needed by `SNES` to be computed via a use of this object
1659 
1660 .seealso: [](chapter_matrices), `Mat`, `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1661 S*/
1662 typedef struct _p_MatFDColoring *MatFDColoring;
1663 
1664 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1665 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1666 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1667 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, PetscErrorCode (*)(void), void *);
1668 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, PetscErrorCode (**)(void), void **);
1669 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1670 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1671 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1672 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1673 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1674 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1675 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1676 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);
1677 
1678 /*S
1679      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1680 
1681    Level: developer
1682 
1683 .seealso: [](chapter_matrices), `Mat`, `MatProductType`, `MatTransposeColoringCreate()`
1684 S*/
1685 typedef struct _p_MatTransposeColoring *MatTransposeColoring;
1686 
1687 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1688 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1689 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1690 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);
1691 
1692 /*S
1693      MatPartitioning - Object for managing the partitioning of a matrix or graph
1694 
1695    Level: beginner
1696 
1697    Note:
1698      There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1699      via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)
1700 
1701    Developers Note:
1702      It is an extra maintenance and documentation cost to have two objects with the same functionality. `PetscPartitioner` should be removed
1703 
1704 .seealso: [](chapter_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`, `MatOrderingType`,
1705           `MatCoarsenType`, `MatCoarsenType`
1706 S*/
1707 typedef struct _p_MatPartitioning *MatPartitioning;
1708 
1709 /*J
1710     MatPartitioningType - String with the name of a PETSc matrix partitioning
1711 
1712    Level: beginner
1713 dm
1714 .seealso: [](chapter_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`, `MatColoringType`, `MatOrderingType`,
1715           `MatCoarsenType`, `MatCoarsenType`
1716 J*/
1717 typedef const char *MatPartitioningType;
1718 #define MATPARTITIONINGCURRENT  "current"
1719 #define MATPARTITIONINGAVERAGE  "average"
1720 #define MATPARTITIONINGSQUARE   "square"
1721 #define MATPARTITIONINGPARMETIS "parmetis"
1722 #define MATPARTITIONINGCHACO    "chaco"
1723 #define MATPARTITIONINGPARTY    "party"
1724 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1725 #define MATPARTITIONINGHIERARCH "hierarch"
1726 
1727 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1728 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1729 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1730 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1731 PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1732 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1733 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1734 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1735 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1736 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1737 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1738 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1739 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1740 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1741 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1742 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1743 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1744 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1745 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);
1746 
1747 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1748 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1749 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1750 
1751 typedef enum {
1752   MP_CHACO_MULTILEVEL = 1,
1753   MP_CHACO_SPECTRAL   = 2,
1754   MP_CHACO_LINEAR     = 4,
1755   MP_CHACO_RANDOM     = 5,
1756   MP_CHACO_SCATTERED  = 6
1757 } MPChacoGlobalType;
1758 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1759 typedef enum {
1760   MP_CHACO_KERNIGHAN = 1,
1761   MP_CHACO_NONE      = 2
1762 } MPChacoLocalType;
1763 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1764 typedef enum {
1765   MP_CHACO_LANCZOS = 0,
1766   MP_CHACO_RQI     = 1
1767 } MPChacoEigenType;
1768 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1769 
1770 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1771 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1772 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1773 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1774 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1775 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1776 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1777 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1778 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1779 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1780 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);
1781 
1782 #define MP_PARTY_OPT "opt"
1783 #define MP_PARTY_LIN "lin"
1784 #define MP_PARTY_SCA "sca"
1785 #define MP_PARTY_RAN "ran"
1786 #define MP_PARTY_GBF "gbf"
1787 #define MP_PARTY_GCF "gcf"
1788 #define MP_PARTY_BUB "bub"
1789 #define MP_PARTY_DEF "def"
1790 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1791 #define MP_PARTY_HELPFUL_SETS  "hs"
1792 #define MP_PARTY_KERNIGHAN_LIN "kl"
1793 #define MP_PARTY_NONE          "no"
1794 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1795 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1796 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1797 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);
1798 
1799 typedef enum {
1800   MP_PTSCOTCH_DEFAULT,
1801   MP_PTSCOTCH_QUALITY,
1802   MP_PTSCOTCH_SPEED,
1803   MP_PTSCOTCH_BALANCE,
1804   MP_PTSCOTCH_SAFETY,
1805   MP_PTSCOTCH_SCALABILITY
1806 } MPPTScotchStrategyType;
1807 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1808 
1809 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1810 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1811 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1812 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);
1813 
1814 /*
1815  * hierarchical partitioning
1816  */
1817 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1818 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1819 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1820 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1821 
1822 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);
1823 
1824 /*
1825     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1826     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1827 */
1828 typedef enum {
1829   MATOP_SET_VALUES               = 0,
1830   MATOP_GET_ROW                  = 1,
1831   MATOP_RESTORE_ROW              = 2,
1832   MATOP_MULT                     = 3,
1833   MATOP_MULT_ADD                 = 4,
1834   MATOP_MULT_TRANSPOSE           = 5,
1835   MATOP_MULT_TRANSPOSE_ADD       = 6,
1836   MATOP_SOLVE                    = 7,
1837   MATOP_SOLVE_ADD                = 8,
1838   MATOP_SOLVE_TRANSPOSE          = 9,
1839   MATOP_SOLVE_TRANSPOSE_ADD      = 10,
1840   MATOP_LUFACTOR                 = 11,
1841   MATOP_CHOLESKYFACTOR           = 12,
1842   MATOP_SOR                      = 13,
1843   MATOP_TRANSPOSE                = 14,
1844   MATOP_GETINFO                  = 15,
1845   MATOP_EQUAL                    = 16,
1846   MATOP_GET_DIAGONAL             = 17,
1847   MATOP_DIAGONAL_SCALE           = 18,
1848   MATOP_NORM                     = 19,
1849   MATOP_ASSEMBLY_BEGIN           = 20,
1850   MATOP_ASSEMBLY_END             = 21,
1851   MATOP_SET_OPTION               = 22,
1852   MATOP_ZERO_ENTRIES             = 23,
1853   MATOP_ZERO_ROWS                = 24,
1854   MATOP_LUFACTOR_SYMBOLIC        = 25,
1855   MATOP_LUFACTOR_NUMERIC         = 26,
1856   MATOP_CHOLESKY_FACTOR_SYMBOLIC = 27,
1857   MATOP_CHOLESKY_FACTOR_NUMERIC  = 28,
1858   MATOP_SETUP                    = 29,
1859   MATOP_ILUFACTOR_SYMBOLIC       = 30,
1860   MATOP_ICCFACTOR_SYMBOLIC       = 31,
1861   MATOP_GET_DIAGONAL_BLOCK       = 32,
1862   MATOP_SET_INF                  = 33,
1863   MATOP_DUPLICATE                = 34,
1864   MATOP_FORWARD_SOLVE            = 35,
1865   MATOP_BACKWARD_SOLVE           = 36,
1866   MATOP_ILUFACTOR                = 37,
1867   MATOP_ICCFACTOR                = 38,
1868   MATOP_AXPY                     = 39,
1869   MATOP_CREATE_SUBMATRICES       = 40,
1870   MATOP_INCREASE_OVERLAP         = 41,
1871   MATOP_GET_VALUES               = 42,
1872   MATOP_COPY                     = 43,
1873   MATOP_GET_ROW_MAX              = 44,
1874   MATOP_SCALE                    = 45,
1875   MATOP_SHIFT                    = 46,
1876   MATOP_DIAGONAL_SET             = 47,
1877   MATOP_ZERO_ROWS_COLUMNS        = 48,
1878   MATOP_SET_RANDOM               = 49,
1879   MATOP_GET_ROW_IJ               = 50,
1880   MATOP_RESTORE_ROW_IJ           = 51,
1881   MATOP_GET_COLUMN_IJ            = 52,
1882   MATOP_RESTORE_COLUMN_IJ        = 53,
1883   MATOP_FDCOLORING_CREATE        = 54,
1884   MATOP_COLORING_PATCH           = 55,
1885   MATOP_SET_UNFACTORED           = 56,
1886   MATOP_PERMUTE                  = 57,
1887   MATOP_SET_VALUES_BLOCKED       = 58,
1888   MATOP_CREATE_SUBMATRIX         = 59,
1889   MATOP_DESTROY                  = 60,
1890   MATOP_VIEW                     = 61,
1891   MATOP_CONVERT_FROM             = 62,
1892   /* MATOP_PLACEHOLDER_63=63 */
1893   MATOP_MATMAT_MULT_SYMBOLIC    = 64,
1894   MATOP_MATMAT_MULT_NUMERIC     = 65,
1895   MATOP_SET_LOCAL_TO_GLOBAL_MAP = 66,
1896   MATOP_SET_VALUES_LOCAL        = 67,
1897   MATOP_ZERO_ROWS_LOCAL         = 68,
1898   MATOP_GET_ROW_MAX_ABS         = 69,
1899   MATOP_GET_ROW_MIN_ABS         = 70,
1900   MATOP_CONVERT                 = 71,
1901   MATOP_HAS_OPERATION           = 72,
1902   /* MATOP_PLACEHOLDER_73=73, */
1903   MATOP_SET_VALUES_ADIFOR = 74,
1904   MATOP_FD_COLORING_APPLY = 75,
1905   MATOP_SET_FROM_OPTIONS  = 76,
1906   /* MATOP_PLACEHOLDER_77=77, */
1907   /* MATOP_PLACEHOLDER_78=78, */
1908   MATOP_FIND_ZERO_DIAGONALS       = 79,
1909   MATOP_MULT_MULTIPLE             = 80,
1910   MATOP_SOLVE_MULTIPLE            = 81,
1911   MATOP_GET_INERTIA               = 82,
1912   MATOP_LOAD                      = 83,
1913   MATOP_IS_SYMMETRIC              = 84,
1914   MATOP_IS_HERMITIAN              = 85,
1915   MATOP_IS_STRUCTURALLY_SYMMETRIC = 86,
1916   MATOP_SET_VALUES_BLOCKEDLOCAL   = 87,
1917   MATOP_CREATE_VECS               = 88,
1918   /* MATOP_PLACEHOLDER_89=89, */
1919   MATOP_MAT_MULT_SYMBOLIC = 90,
1920   MATOP_MAT_MULT_NUMERIC  = 91,
1921   /* MATOP_PLACEHOLDER_92=92, */
1922   MATOP_PTAP_SYMBOLIC = 93,
1923   MATOP_PTAP_NUMERIC  = 94,
1924   /* MATOP_PLACEHOLDER_95=95, */
1925   MATOP_MAT_TRANSPOSE_MULT_SYMBO = 96,
1926   MATOP_MAT_TRANSPOSE_MULT_NUMER = 97,
1927   MATOP_BIND_TO_CPU              = 98,
1928   MATOP_PRODUCTSETFROMOPTIONS    = 99,
1929   MATOP_PRODUCTSYMBOLIC          = 100,
1930   MATOP_PRODUCTNUMERIC           = 101,
1931   MATOP_CONJUGATE                = 102,
1932   MATOP_VIEW_NATIVE              = 103,
1933   MATOP_SET_VALUES_ROW           = 104,
1934   MATOP_REAL_PART                = 105,
1935   MATOP_IMAGINARY_PART           = 106,
1936   MATOP_GET_ROW_UPPER_TRIANGULAR = 107,
1937   MATOP_RESTORE_ROW_UPPER_TRIANG = 108,
1938   MATOP_MAT_SOLVE                = 109,
1939   MATOP_MAT_SOLVE_TRANSPOSE      = 110,
1940   MATOP_GET_ROW_MIN              = 111,
1941   MATOP_GET_COLUMN_VECTOR        = 112,
1942   MATOP_MISSING_DIAGONAL         = 113,
1943   MATOP_GET_SEQ_NONZERO_STRUCTUR = 114,
1944   MATOP_CREATE                   = 115,
1945   MATOP_GET_GHOSTS               = 116,
1946   MATOP_GET_LOCAL_SUB_MATRIX     = 117,
1947   MATOP_RESTORE_LOCALSUB_MATRIX  = 118,
1948   MATOP_MULT_DIAGONAL_BLOCK      = 119,
1949   MATOP_HERMITIAN_TRANSPOSE      = 120,
1950   MATOP_MULT_HERMITIAN_TRANSPOSE = 121,
1951   MATOP_MULT_HERMITIAN_TRANS_ADD = 122,
1952   MATOP_GET_MULTI_PROC_BLOCK     = 123,
1953   MATOP_FIND_NONZERO_ROWS        = 124,
1954   MATOP_GET_COLUMN_NORMS         = 125,
1955   MATOP_INVERT_BLOCK_DIAGONAL    = 126,
1956   MATOP_INVERT_VBLOCK_DIAGONAL   = 127,
1957   MATOP_CREATE_SUB_MATRICES_MPI  = 128,
1958   MATOP_SET_VALUES_BATCH         = 129,
1959   /* MATOP_PLACEHOLDER_130=130, */
1960   MATOP_TRANSPOSE_MAT_MULT_SYMBO = 131,
1961   MATOP_TRANSPOSE_MAT_MULT_NUMER = 132,
1962   MATOP_TRANSPOSE_COLORING_CREAT = 133,
1963   MATOP_TRANS_COLORING_APPLY_SPT = 134,
1964   MATOP_TRANS_COLORING_APPLY_DEN = 135,
1965   /* MATOP_PLACEHOLDER_136=136, */
1966   MATOP_RART_SYMBOLIC         = 137,
1967   MATOP_RART_NUMERIC          = 138,
1968   MATOP_SET_BLOCK_SIZES       = 139,
1969   MATOP_AYPX                  = 140,
1970   MATOP_RESIDUAL              = 141,
1971   MATOP_FDCOLORING_SETUP      = 142,
1972   MATOP_FIND_OFFBLOCK_ENTRIES = 143,
1973   MATOP_MPICONCATENATESEQ     = 144,
1974   MATOP_DESTROYSUBMATRICES    = 145,
1975   MATOP_TRANSPOSE_SOLVE       = 146,
1976   MATOP_GET_VALUES_LOCAL      = 147
1977 } MatOperation;
1978 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, void (*)(void));
1979 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, void (**)(void));
1980 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
1981 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
1982 PETSC_DEPRECATED_FUNCTION("Use MatProductClear() (since version 3.14)") static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
1983 {
1984   return MatProductClear(A);
1985 }
1986 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, void (*)(void));
1987 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, void (**)(void));
1988 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, void *);
1989 PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscErrorCode (*)(void *));
1990 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
1991 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
1992 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
1993 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1994 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscErrorCode (*)(void *), MatType, MatType);
1995 PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);
1996 
1997 /*
1998    Codes for matrices stored on disk. By default they are
1999    stored in a universal format. By changing the format with
2000    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
2001    be stored in a way natural for the matrix, for example dense matrices
2002    would be stored as dense. Matrices stored this way may only be
2003    read into matrices of the same type.
2004 */
2005 #define MATRIX_BINARY_FORMAT_DENSE -1
2006 
2007 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);
2008 
2009 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
2010 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
2011 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
2012 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
2013 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
2014 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
2015 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
2016 PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
2017 PETSC_EXTERN                PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat, MatReuse, Mat *);
2018 
2019 /*S
2020      MatNullSpace - Object that removes a null space from a vector, i.e.
2021          orthogonalizes the vector to a subspace
2022 
2023    Level: advanced
2024 
2025 .seealso: [](chapter_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2026 S*/
2027 typedef struct _p_MatNullSpace *MatNullSpace;
2028 
2029 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
2030 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, PetscErrorCode (*)(MatNullSpace, Vec, void *), void *);
2031 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
2032 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
2033 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
2034 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
2035 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
2036 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
2037 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
2038 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
2039 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
2040 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
2041 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
2042 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);
2043 
2044 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
2045 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
2046 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);
2047 
2048 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
2049 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
2050 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);
2051 
2052 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
2053 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);
2054 
2055 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
2056 {
2057   return MatComputeOperator(A, NULL, B);
2058 }
2059 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
2060 {
2061   return MatComputeOperatorTranspose(A, NULL, B);
2062 }
2063 
2064 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
2065 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
2066 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
2067 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2068 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
2069 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
2070 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
2071 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2072 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
2073 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
2074 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
2075 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
2076 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
2077 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);
2078 
2079 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);
2080 
2081 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2082 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
2083 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, PetscErrorCode (*)(void *, Vec, Vec), void *);
2084 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, PetscErrorCode (*)(void *, PetscInt, Vec, PetscScalar *));
2085 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, PetscErrorCode (*)(void *, Vec));
2086 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
2087 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
2088 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
2089 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
2090 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
2091 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
2092 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
2093 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, PetscErrorCode (*)(void *, Vec, Vec, PetscScalar *), void *);
2094 
2095 /*S
2096     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2097               Jacobian vector products
2098 
2099     Level: developer
2100 
2101     Notes:
2102     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure
2103 
2104      MatMFFD*() methods actually take the `Mat` as their first argument. Not a `MatMFFD` data structure
2105 
2106     This functionality is often obtained using `MatCreateSNESMF()` or with `SNES` solvers using `-snes_mf` or `-snes_mf_operator`
2107 
2108 .seealso: [](chapter_matrices), `MatMFFDType`, `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`,
2109           `MatCreateSNESMF()`, `SNES`, `-snes_mf`, `-snes_mf_operator`
2110 S*/
2111 typedef struct _p_MatMFFD *MatMFFD;
2112 
2113 /*J
2114     MatMFFDType - algorithm used to compute the `h` used in computing matrix-vector products via differencing of a function
2115 
2116    Level: beginner
2117 
2118 .seealso: [](chapter_matrices), `MatMFFDSetType()`, `MatMFFDRegister()`, `MatMFFDSetFunction()`, `MatCreateMFFD()`
2119 J*/
2120 typedef const char *MatMFFDType;
2121 #define MATMFFD_DS "ds"
2122 #define MATMFFD_WP "wp"
2123 
2124 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2125 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));
2126 
2127 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2128 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);
2129 
2130 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);
2131 
2132 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2133 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
2134 
2135 #ifdef PETSC_HAVE_H2OPUS
2136 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatH2OpusKernel)(PetscInt, PetscReal[], PetscReal[], void *);
2137 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernel, void *, PetscReal, PetscInt, PetscInt, Mat *);
2138 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2139 PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2140 PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
2141 PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat, PetscReal);
2142 PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat, PetscBool);
2143 PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat, PetscBool *);
2144 PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat, IS *);
2145 PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2146 PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2147 #endif
2148 
2149 #ifdef PETSC_HAVE_HTOOL
2150 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatHtoolKernel)(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2151 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernel, void *, Mat *);
2152 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat, MatHtoolKernel, void *);
2153 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat, IS *);
2154 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat, IS *);
2155 PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat, PetscBool);
2156 
2157 /*E
2158      MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`
2159 
2160    Level: intermediate
2161 
2162     Values:
2163 +   `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2164 .   `MAT_HTOOL_COMPRESSOR_FULL_ACA` - full adaptive cross approximation
2165 -   `MAT_HTOOL_COMPRESSOR_SVD` - singular value decomposition
2166 
2167 .seealso: [](chapter_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2168 E*/
2169 typedef enum {
2170   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2171   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2172   MAT_HTOOL_COMPRESSOR_SVD
2173 } MatHtoolCompressorType;
2174 
2175 /*E
2176      MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`
2177 
2178    Level: intermediate
2179 
2180     Values:
2181 +   `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default) - axis computed via principle component analysis, split uniformly
2182 .   `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC` - axis computed via principle component analysis, split barycentrically
2183 .   `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR` - axis along the largest extent of the bounding box, split uniformly
2184 -   `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically
2185 
2186     Note:
2187     Higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
2188 
2189 .seealso: [](chapter_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2190 E*/
2191 typedef enum {
2192   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2193   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2194   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2195   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2196 } MatHtoolClusteringType;
2197 #endif
2198 
2199 #ifdef PETSC_HAVE_MUMPS
2200 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2201 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2202 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2203 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);
2204 
2205 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2206 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2207 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2208 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2209 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2210 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2211 #endif
2212 
2213 #ifdef PETSC_HAVE_MKL_PARDISO
2214 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2215 #endif
2216 
2217 #ifdef PETSC_HAVE_MKL_CPARDISO
2218 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2219 #endif
2220 
2221 #ifdef PETSC_HAVE_SUPERLU
2222 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2223 #endif
2224 
2225 #ifdef PETSC_HAVE_SUPERLU_DIST
2226 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2227 #endif
2228 
2229 #ifdef PETSC_HAVE_STRUMPACK
2230 /*E
2231     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `MATSOLVERSTRUMPACK``
2232 
2233     Level: intermediate
2234 
2235     Values:
2236 +  `MAT_STRUMPACK_NATURAL` - use the current ordering
2237 .  `MAT_STRUMPACK_METIS` - use MeTis to compute an ordering
2238 .  `MAT_STRUMPACK_PARMETIS` - use ParMeTis to compute an ordering
2239 .  `MAT_STRUMPACK_SCOTCH` - use Scotch to compute an ordering
2240 .  `MAT_STRUMPACK_PTSCOTCH` - use parallel Scotch to compute an ordering
2241 -  `MAT_STRUMPACK_RCM` - use an RCM ordering
2242 
2243     Developer Note:
2244     Should be called `MatSTRUMPACKReorderingType`
2245 
2246 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetHSSRelTol()`, `MatSTRUMPACKSetReordering()`
2247 E*/
2248 typedef enum {
2249   MAT_STRUMPACK_NATURAL  = 0,
2250   MAT_STRUMPACK_METIS    = 1,
2251   MAT_STRUMPACK_PARMETIS = 2,
2252   MAT_STRUMPACK_SCOTCH   = 3,
2253   MAT_STRUMPACK_PTSCOTCH = 4,
2254   MAT_STRUMPACK_RCM      = 5
2255 } MatSTRUMPACKReordering;
2256 
2257 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2258 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2259 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat, PetscReal);
2260 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat, PetscReal rtol)
2261 {
2262   return MatSTRUMPACKSetHSSRelTol(mat, rtol);
2263 }
2264 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat, PetscReal);
2265 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat, PetscInt);
2266 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat, PetscInt hssminsize)
2267 {
2268   return MatSTRUMPACKSetHSSMinSepSize(mat, hssminsize);
2269 }
2270 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat, PetscInt);
2271 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat, PetscInt);
2272 #endif
2273 
2274 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2275 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2276 PETSC_DEPRECATED_FUNCTION("Use MatBindToCPU (since v3.13)") static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2277 {
2278   return MatBindToCPU(A, flg);
2279 }
2280 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2281 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);
2282 
2283 typedef struct _n_SplitCSRMat *PetscSplitCSRDataStructure;
2284 PETSC_EXTERN PetscErrorCode    MatCUSPARSEGetDeviceMatWrite(Mat, PetscSplitCSRDataStructure *);
2285 
2286 #ifdef PETSC_HAVE_KOKKOS_KERNELS
2287 PETSC_EXTERN PetscErrorCode MatKokkosGetDeviceMatWrite(Mat, PetscSplitCSRDataStructure *);
2288 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosSetDeviceMat(Mat, PetscSplitCSRDataStructure);
2289 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosGetDeviceMat(Mat, PetscSplitCSRDataStructure *);
2290 #endif
2291 
2292 #ifdef PETSC_HAVE_CUDA
2293 /*E
2294     MatCUSPARSEStorageFormat - indicates the storage format for `MATAIJCUSPARSE` (GPU)
2295     matrices.
2296 
2297     Values:
2298 +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2299 .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2300 -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2301 
2302     Level: intermediate
2303 
2304 .seealso: [](chapter_matrices), `MATAIJCUSPARSE`, `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2305 E*/
2306 
2307 typedef enum {
2308   MAT_CUSPARSE_CSR,
2309   MAT_CUSPARSE_ELL,
2310   MAT_CUSPARSE_HYB
2311 } MatCUSPARSEStorageFormat;
2312 
2313 /* these will be strings associated with enumerated type defined above */
2314 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2315 
2316 /*E
2317     MatCUSPARSEFormatOperation - indicates the operation of `MATAIJCUSPARSE` (GPU)
2318     matrices whose operation should use a particular storage format.
2319 
2320     Values:
2321 +   `MAT_CUSPARSE_MULT_DIAG` - sets the storage format for the diagonal matrix in the parallel MatMult
2322 .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the offdiagonal matrix in the parallel MatMult
2323 .   `MAT_CUSPARSE_MULT` - sets the storage format for the entire matrix in the serial (single GPU) MatMult
2324 -   `MAT_CUSPARSE_ALL` - sets the storage format for all `MATAIJCUSPARSE` (GPU) matrices
2325 
2326     Level: intermediate
2327 
2328 .seealso: [](chapter_matrices), `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2329 E*/
2330 typedef enum {
2331   MAT_CUSPARSE_MULT_DIAG,
2332   MAT_CUSPARSE_MULT_OFFDIAG,
2333   MAT_CUSPARSE_MULT,
2334   MAT_CUSPARSE_ALL
2335 } MatCUSPARSEFormatOperation;
2336 
2337 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2338 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2339 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2340 PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2341 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2342 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2343 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2344 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2345 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2346 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2347 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2348 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);
2349 
2350 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2351 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2352 PETSC_EXTERN PetscErrorCode MatMPIDenseCUDASetPreallocation(Mat, PetscScalar[]);
2353 PETSC_EXTERN PetscErrorCode MatSeqDenseCUDASetPreallocation(Mat, PetscScalar[]);
2354 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2355 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2356 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2357 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2358 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2359 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2360 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2361 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2362 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2363 
2364 #endif
2365 
2366 #ifdef PETSC_HAVE_HIP
2367 /*E
2368     MatHIPSPARSEStorageFormat - indicates the storage format for `MATAIJHIPSPARSE` (GPU)
2369     matrices.
2370 
2371     Level: intermediate
2372 
2373     Values:
2374 +   `MAT_HIPSPARSE_CSR` - Compressed Sparse Row
2375 .   `MAT_HIPSPARSE_ELL` - Ellpack
2376 -   `MAT_HIPSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format
2377 
2378 .seealso: [](chapter_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
2379 E*/
2380 
2381 typedef enum {
2382   MAT_HIPSPARSE_CSR,
2383   MAT_HIPSPARSE_ELL,
2384   MAT_HIPSPARSE_HYB
2385 } MatHIPSPARSEStorageFormat;
2386 
2387 /* these will be strings associated with enumerated type defined above */
2388 PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];
2389 
2390 /*E
2391     MatHIPSPARSEFormatOperation - indicates the operation of `MATAIJHIPSPARSE` (GPU)
2392     matrices whose operation should use a particular storage format.
2393 
2394     Level: intermediate
2395 
2396     Values:
2397 +   `MAT_HIPSPARSE_MULT_DIAG` - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2398 .   `MAT_HIPSPARSE_MULT_OFFDIAG` - sets the storage format for the offdiagonal matrix in the parallel `MatMul()t`
2399 .   `MAT_HIPSPARSE_MULT` - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2400 -   `MAT_HIPSPARSE_ALL` - sets the storage format for all HIPSPARSE (GPU) matrices
2401 
2402 .seealso: [](chapter_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
2403 E*/
2404 typedef enum {
2405   MAT_HIPSPARSE_MULT_DIAG,
2406   MAT_HIPSPARSE_MULT_OFFDIAG,
2407   MAT_HIPSPARSE_MULT,
2408   MAT_HIPSPARSE_ALL
2409 } MatHIPSPARSEFormatOperation;
2410 
2411 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2412 PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2413 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
2414 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
2415 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2416 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2417 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
2418 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
2419 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
2420 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
2421 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
2422 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);
2423 
2424 PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2425 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2426 PETSC_EXTERN PetscErrorCode MatMPIDenseHIPSetPreallocation(Mat, PetscScalar[]);
2427 PETSC_EXTERN PetscErrorCode MatSeqDenseHIPSetPreallocation(Mat, PetscScalar[]);
2428 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
2429 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
2430 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
2431 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
2432 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
2433 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
2434 PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
2435 PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
2436 PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);
2437 
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 #endif
2482