xref: /petsc/include/petscmat.h (revision 5c2c0cec56e8aa8a299512cc9470ae7abc677dc1)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #pragma once
5 
6 #include <petscvec.h>
7 
8 /* SUBMANSEC = Mat */
9 
10 /*S
11    Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
12          an explicit sparse representation (such as matrix-free operators). Also used to hold representations of graphs
13          for graph operations such as coloring, `MatColoringCreate()`
14 
15    Level: beginner
16 
17    Note:
18    See [](doc_matrix), [](ch_matrices) and `MatType` for available matrix types
19 
20 .seealso: [](doc_matrix), [](ch_matrices), `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: [](doc_matrix), [](ch_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(3, 18, 0, "MATTRANSPOSEVIRTUAL", ) "transpose"
105 #define MATTRANSPOSEVIRTUAL          "transpose"
106 #define MATHERMITIANTRANSPOSEVIRTUAL "hermitiantranspose"
107 #define MATSCHURCOMPLEMENT           "schurcomplement"
108 #define MATPYTHON                    "python"
109 #define MATHYPRE                     "hypre"
110 #define MATHYPRESTRUCT               "hyprestruct"
111 #define MATHYPRESSTRUCT              "hypresstruct"
112 #define MATSUBMATRIX                 "submatrix"
113 #define MATLOCALREF                  "localref"
114 #define MATNEST                      "nest"
115 #define MATPREALLOCATOR              "preallocator"
116 #define MATSELL                      "sell"
117 #define MATSEQSELL                   "seqsell"
118 #define MATMPISELL                   "mpisell"
119 #define MATSELLCUDA                  "sellcuda"
120 #define MATSEQSELLCUDA               "seqsellcuda"
121 #define MATMPISELLCUDA               "mpisellcuda"
122 #define MATDUMMY                     "dummy"
123 #define MATLMVM                      "lmvm"
124 #define MATLMVMDFP                   "lmvmdfp"
125 #define MATLMVMDDFP                  "lmvmddfp"
126 #define MATLMVMBFGS                  "lmvmbfgs"
127 #define MATLMVMDBFGS                 "lmvmdbfgs"
128 #define MATLMVMDQN                   "lmvmdqn"
129 #define MATLMVMSR1                   "lmvmsr1"
130 #define MATLMVMBROYDEN               "lmvmbroyden"
131 #define MATLMVMBADBROYDEN            "lmvmbadbroyden"
132 #define MATLMVMSYMBROYDEN            "lmvmsymbroyden"
133 #define MATLMVMSYMBADBROYDEN         "lmvmsymbadbroyden"
134 #define MATLMVMDIAGBROYDEN           "lmvmdiagbroyden"
135 #define MATCONSTANTDIAGONAL          "constantdiagonal"
136 #define MATDIAGONAL                  "diagonal"
137 #define MATHTOOL                     "htool"
138 #define MATH2OPUS                    "h2opus"
139 
140 /*J
141    MatSolverType - String with the name of a PETSc factorization-based matrix solver type.
142 
143    For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
144 
145    Level: beginner
146 
147    Note:
148    `MATSOLVERUMFPACK`, `MATSOLVERCHOLMOD`, `MATSOLVERKLU`, `MATSOLVERSPQR` form the SuiteSparse package; you can use `--download-suitesparse` as
149    a ./configure option to install them
150 
151 .seealso: [](sec_matfactor), [](ch_matrices), `MatGetFactor()`, `PCFactorSetMatSolverType()`, `PCFactorGetMatSolverType()`
152 J*/
153 typedef const char *MatSolverType;
154 #define MATSOLVERSUPERLU      "superlu"
155 #define MATSOLVERSUPERLU_DIST "superlu_dist"
156 #define MATSOLVERSTRUMPACK    "strumpack"
157 #define MATSOLVERUMFPACK      "umfpack"
158 #define MATSOLVERCHOLMOD      "cholmod"
159 #define MATSOLVERKLU          "klu"
160 #define MATSOLVERELEMENTAL    "elemental"
161 #define MATSOLVERSCALAPACK    "scalapack"
162 #define MATSOLVERESSL         "essl"
163 #define MATSOLVERLUSOL        "lusol"
164 #define MATSOLVERMUMPS        "mumps"
165 #define MATSOLVERMKL_PARDISO  "mkl_pardiso"
166 #define MATSOLVERMKL_CPARDISO "mkl_cpardiso"
167 #define MATSOLVERPASTIX       "pastix"
168 #define MATSOLVERMATLAB       "matlab"
169 #define MATSOLVERPETSC        "petsc"
170 #define MATSOLVERBAS          "bas"
171 #define MATSOLVERCUSPARSE     "cusparse"
172 #define MATSOLVERCUDA         "cuda"
173 #define MATSOLVERHIPSPARSE    "hipsparse"
174 #define MATSOLVERHIP          "hip"
175 #define MATSOLVERKOKKOS       "kokkos"
176 #define MATSOLVERSPQR         "spqr"
177 
178 /*E
179     MatFactorType - indicates what type of factorization is requested
180 
181     Values:
182 +  `MAT_FACTOR_LU`       - LU factorization
183 .  `MAT_FACTOR_CHOLESKY` - Cholesky factorization
184 .  `MAT_FACTOR_ILU`      - ILU factorization
185 .  `MAT_FACTOR_ICC`      - incomplete Cholesky factorization
186 .  `MAT_FACTOR_ILUDT`    - ILU factorization with drop tolerance
187 -  `MAT_FACTOR_QR`       - QR factorization
188 
189     Level: beginner
190 
191 .seealso: [](ch_matrices), `MatSolverType`, `MatGetFactor()`, `MatGetFactorAvailable()`, `MatSolverTypeRegister()`
192 E*/
193 typedef enum {
194   MAT_FACTOR_NONE,
195   MAT_FACTOR_LU,
196   MAT_FACTOR_CHOLESKY,
197   MAT_FACTOR_ILU,
198   MAT_FACTOR_ICC,
199   MAT_FACTOR_ILUDT,
200   MAT_FACTOR_QR,
201   MAT_FACTOR_NUM_TYPES
202 } MatFactorType;
203 PETSC_EXTERN const char *const MatFactorTypes[];
204 
205 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat, MatSolverType, MatFactorType, Mat *);
206 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat, MatSolverType, MatFactorType, PetscBool *);
207 PETSC_EXTERN PetscErrorCode MatFactorGetCanUseOrdering(Mat, PetscBool *);
208 PETSC_DEPRECATED_FUNCTION(3, 15, 0, "MatFactorGetCanUseOrdering()", ) static inline PetscErrorCode MatFactorGetUseOrdering(Mat A, PetscBool *b)
209 {
210   return MatFactorGetCanUseOrdering(A, b);
211 }
212 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat, MatSolverType *);
213 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat, MatFactorType *);
214 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat, MatFactorType);
215 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(MatSolverFn)(Mat, MatFactorType, Mat *);
216 PETSC_EXTERN_TYPEDEF typedef MatSolverFn *MatSolverFunction;
217 
218 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType, MatType, MatFactorType, MatSolverFn *);
219 PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType, MatType, MatFactorType, PetscBool *, PetscBool *, MatSolverFn **);
220 typedef MatSolverType       MatSolverPackage PETSC_DEPRECATED_TYPEDEF(3, 9, 0, "MatSolverType", );
221 PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSolverTypeRegister()", ) static inline PetscErrorCode MatSolverPackageRegister(MatSolverType stype, MatType mtype, MatFactorType ftype, MatSolverFn *f)
222 {
223   return MatSolverTypeRegister(stype, mtype, ftype, f);
224 }
225 PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSolverTypeGet()", ) static inline PetscErrorCode MatSolverPackageGet(MatSolverType stype, MatType mtype, MatFactorType ftype, PetscBool *foundmtype, PetscBool *foundstype, MatSolverFn **f)
226 {
227   return MatSolverTypeGet(stype, mtype, ftype, foundmtype, foundstype, f);
228 }
229 
230 /*E
231     MatProductType - indicates what type of matrix product to compute
232 
233     Values:
234 +  `MATPRODUCT_AB`   - product of two matrices
235 .  `MATPRODUCT_AtB`  - product of the transpose of a given matrix with a matrix
236 .  `MATPRODUCT_ABt`  - product of a matrix with the transpose of another given matrix
237 .  `MATPRODUCT_PtAP` - the triple product of the transpose of a matrix with another matrix and itself
238 .  `MATPRODUCT_RARt` - the triple product of a matrix, another matrix and the transpose of the first matrix
239 -  `MATPRODUCT_ABC`  - the product of three matrices
240 
241     Level: beginner
242 
243 .seealso: [](sec_matmatproduct), [](ch_matrices), `MatProductSetType()`
244 E*/
245 typedef enum {
246   MATPRODUCT_UNSPECIFIED = 0,
247   MATPRODUCT_AB,
248   MATPRODUCT_AtB,
249   MATPRODUCT_ABt,
250   MATPRODUCT_PtAP,
251   MATPRODUCT_RARt,
252   MATPRODUCT_ABC
253 } MatProductType;
254 PETSC_EXTERN const char *const MatProductTypes[];
255 
256 /*J
257     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
258 
259    Level: beginner
260 
261 .seealso: [](sec_matmatproduct), [](ch_matrices), `MatSetType()`, `Mat`, `MatProductSetAlgorithm()`, `MatProductType`
262 J*/
263 typedef const char *MatProductAlgorithm;
264 #define MATPRODUCTALGORITHMDEFAULT         "default"
265 #define MATPRODUCTALGORITHMSORTED          "sorted"
266 #define MATPRODUCTALGORITHMSCALABLE        "scalable"
267 #define MATPRODUCTALGORITHMSCALABLEFAST    "scalable_fast"
268 #define MATPRODUCTALGORITHMHEAP            "heap"
269 #define MATPRODUCTALGORITHMBHEAP           "btheap"
270 #define MATPRODUCTALGORITHMLLCONDENSED     "llcondensed"
271 #define MATPRODUCTALGORITHMROWMERGE        "rowmerge"
272 #define MATPRODUCTALGORITHMOUTERPRODUCT    "outerproduct"
273 #define MATPRODUCTALGORITHMATB             "at*b"
274 #define MATPRODUCTALGORITHMRAP             "rap"
275 #define MATPRODUCTALGORITHMNONSCALABLE     "nonscalable"
276 #define MATPRODUCTALGORITHMSEQMPI          "seqmpi"
277 #define MATPRODUCTALGORITHMBACKEND         "backend"
278 #define MATPRODUCTALGORITHMOVERLAPPING     "overlapping"
279 #define MATPRODUCTALGORITHMMERGED          "merged"
280 #define MATPRODUCTALGORITHMALLATONCE       "allatonce"
281 #define MATPRODUCTALGORITHMALLATONCEMERGED "allatonce_merged"
282 #define MATPRODUCTALGORITHMALLGATHERV      "allgatherv"
283 #define MATPRODUCTALGORITHMCYCLIC          "cyclic"
284 #if defined(PETSC_HAVE_HYPRE)
285   #define MATPRODUCTALGORITHMHYPRE "hypre"
286 #endif
287 
288 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat, Mat, Mat, Mat *);
289 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat, Mat, Mat, Mat);
290 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat, MatProductType);
291 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat, MatProductAlgorithm);
292 PETSC_EXTERN PetscErrorCode MatProductGetAlgorithm(Mat, MatProductAlgorithm *);
293 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat, PetscReal);
294 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
295 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
296 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
297 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat, Mat, Mat, Mat);
298 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
299 PETSC_EXTERN PetscErrorCode MatProductView(Mat, PetscViewer);
300 PETSC_EXTERN PetscErrorCode MatProductGetType(Mat, MatProductType *);
301 PETSC_EXTERN PetscErrorCode MatProductGetMats(Mat, Mat *, Mat *, Mat *);
302 
303 /* Logging support */
304 #define MAT_FILE_CLASSID 1211216 /* used to indicate matrices in binary files */
305 PETSC_EXTERN PetscClassId MAT_CLASSID;
306 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
307 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
308 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
309 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
310 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
311 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
312 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
313 
314 /*E
315    MatReuse - Indicates if matrices obtained from a previous call to `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatConvert()` or several other functions
316    are to be reused to store the new matrix values.
317 
318    Values:
319 +  `MAT_INITIAL_MATRIX` - create a new matrix
320 .  `MAT_REUSE_MATRIX`   - reuse the matrix created with a previous call that used `MAT_INITIAL_MATRIX`
321 .  `MAT_INPLACE_MATRIX` - replace the first input matrix with the new matrix (not applicable to all functions)
322 -  `MAT_IGNORE_MATRIX`  - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
323 
324     Level: beginner
325 
326 .seealso: [](ch_matrices), `Mat`, `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatDestroyMatrices()`, `MatConvert()`
327 E*/
328 typedef enum {
329   MAT_INITIAL_MATRIX,
330   MAT_REUSE_MATRIX,
331   MAT_IGNORE_MATRIX,
332   MAT_INPLACE_MATRIX
333 } MatReuse;
334 
335 /*E
336     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to `MatCreateSubMatrices()`
337     include the matrix values. Currently it is only used by `MatGetSeqNonzeroStructure()`.
338 
339     Values:
340 +  `MAT_DO_NOT_GET_VALUES` - do not copy the matrix values
341 -  `MAT_GET_VALUES`        - copy the matrix values
342 
343     Level: developer
344 
345     Developer Note:
346     Why is not just a boolean used for this information?
347 
348 .seealso: [](ch_matrices), `Mat`, `MatDuplicateOption`, `PetscCopyMode`, `MatGetSeqNonzeroStructure()`
349 E*/
350 typedef enum {
351   MAT_DO_NOT_GET_VALUES,
352   MAT_GET_VALUES
353 } MatCreateSubMatrixOption;
354 
355 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
356 PETSC_EXTERN PetscErrorCode MatFinalizePackage(void);
357 
358 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm, Mat *);
359 PETSC_EXTERN PetscErrorCode MatCreateFromOptions(MPI_Comm, const char *, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
360 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat, PetscInt, PetscInt, PetscInt, PetscInt);
361 PETSC_EXTERN PetscErrorCode MatSetType(Mat, MatType);
362 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat, VecType *);
363 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat, VecType);
364 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
365 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat, PetscObject, const char[]);
366 PETSC_EXTERN PetscErrorCode MatRegister(const char[], PetscErrorCode (*)(Mat));
367 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[], const char[], const char[]);
368 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat, const char[]);
369 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefixFactor(Mat, const char[]);
370 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefixFactor(Mat, const char[]);
371 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat, const char[]);
372 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat, const char *[]);
373 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat, PetscBool);
374 
375 PETSC_EXTERN PetscFunctionList MatList;
376 PETSC_EXTERN PetscFunctionList MatColoringList;
377 PETSC_EXTERN PetscFunctionList MatPartitioningList;
378 
379 /*E
380    MatStructure - Indicates if two matrices have the same nonzero structure
381 
382    Values:
383 +  `SAME_NONZERO_PATTERN`      - the two matrices have identical nonzero patterns
384 .  `DIFFERENT_NONZERO_PATTERN` - the two matrices may have different nonzero patterns
385 .  `SUBSET_NONZERO_PATTERN`    - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
386 -  `UNKNOWN_NONZERO_PATTERN`   - there is no known relationship between the nonzero patterns. In this case the implementations
387                                  may try to detect a relationship to optimize the operation
388 
389    Level: beginner
390 
391    Note:
392    Certain matrix operations (such as `MatAXPY()`) can run much faster if the sparsity pattern of the matrices are the same. But actually determining if
393    the patterns are the same may be costly. This provides a way for users who know something about the sparsity patterns to provide this information
394    to certain PETSc routines.
395 
396 .seealso: [](ch_matrices), `Mat`, `MatCopy()`, `MatAXPY()`, `MatAYPX()`
397 E*/
398 typedef enum {
399   DIFFERENT_NONZERO_PATTERN,
400   SUBSET_NONZERO_PATTERN,
401   SAME_NONZERO_PATTERN,
402   UNKNOWN_NONZERO_PATTERN
403 } MatStructure;
404 PETSC_EXTERN const char *const MatStructures[];
405 
406 #if defined PETSC_HAVE_MKL_SPARSE
407 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
408 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
409 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
410 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
411 #endif
412 
413 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJPERM(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
414 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJPERM(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
415 
416 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
417 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
418 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat, PetscInt, const PetscInt[]);
419 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
420 PETSC_EXTERN PetscErrorCode MatSeqSELLGetFillRatio(Mat, PetscReal *);
421 PETSC_EXTERN PetscErrorCode MatSeqSELLGetMaxSliceWidth(Mat, PetscInt *);
422 PETSC_EXTERN PetscErrorCode MatSeqSELLGetAvgSliceWidth(Mat, PetscReal *);
423 PETSC_EXTERN PetscErrorCode MatSeqSELLSetSliceHeight(Mat, PetscInt);
424 PETSC_EXTERN PetscErrorCode MatSeqSELLGetVarSliceSize(Mat, PetscReal *);
425 
426 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
427 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
428 PETSC_EXTERN PetscErrorCode MatMPISELLGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
429 PETSC_EXTERN PetscErrorCode MatMPISELLGetSeqSELL(Mat, Mat *, Mat *, const PetscInt *[]);
430 
431 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
432 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
433 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
434 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
435 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
436 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
437 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArray(Mat, const PetscScalar[]);
438 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], PetscInt[], PetscInt[], PetscScalar[], Mat *);
439 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm, Mat, Mat, const PetscInt[], Mat *);
440 
441 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
442 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
443 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
444 
445 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat, PetscCount, PetscInt[], PetscInt[]);
446 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat, PetscCount, PetscInt[], PetscInt[]);
447 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat, const PetscScalar[], InsertMode);
448 
449 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscInt[], Mat *);
450 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
451 
452 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
453 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
454 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
455 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
456 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], const PetscInt[]);
457 
458 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, void *, Mat *);
459 PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm, PetscInt, PetscInt, Mat *);
460 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat, Mat *);
461 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat, Mat *);
462 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat, Mat, Vec, Mat, Mat *);
463 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat, Mat *, Mat *, Vec *, Mat *);
464 PETSC_EXTERN PetscErrorCode MatLRCSetMats(Mat, Mat, Mat, Vec, Mat);
465 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, ISLocalToGlobalMapping, ISLocalToGlobalMapping, Mat *);
466 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
467 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
468 
469 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm, VecScatter, Mat *);
470 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat, VecScatter);
471 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat, VecScatter *);
472 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt *, Mat *);
473 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat, Mat);
474 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
475 typedef enum {
476   MAT_COMPOSITE_MERGE_RIGHT,
477   MAT_COMPOSITE_MERGE_LEFT
478 } MatCompositeMergeType;
479 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat, MatCompositeMergeType);
480 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm, PetscInt, const Mat *, Mat *);
481 /*E
482     MatCompositeType - indicates what type of `MATCOMPOSITE` is used
483 
484     Values:
485 +  `MAT_COMPOSITE_ADDITIVE`       - sum of matrices (default)
486 -  `MAT_COMPOSITE_MULTIPLICATIVE` - product of matrices
487 
488     Level: beginner
489 
490 .seealso: [](ch_matrices), `MATCOMPOSITE`, `MatCompositeSetType()`, `MatCompositeGetType()`
491 E*/
492 typedef enum {
493   MAT_COMPOSITE_ADDITIVE,
494   MAT_COMPOSITE_MULTIPLICATIVE
495 } MatCompositeType;
496 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat, MatCompositeType);
497 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat, MatCompositeType *);
498 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat, MatStructure);
499 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat, MatStructure *);
500 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat, PetscInt *);
501 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat, PetscInt, Mat *);
502 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat, const PetscScalar *);
503 
504 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm, PetscInt, const PetscInt[], MatType, Mat *);
505 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm, PetscInt, const PetscInt[], Mat *);
506 
507 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat, Mat *);
508 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat, Mat *);
509 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat, Mat *);
510 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat, Mat *);
511 PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat, Mat *);
512 PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat, Mat *);
513 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat, IS, IS, Mat *);
514 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat, Mat, IS, IS);
515 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat, IS, IS, Mat *);
516 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar, Mat *);
517 PETSC_EXTERN PetscErrorCode MatCreateDiagonal(Vec, Mat *);
518 PETSC_EXTERN PetscErrorCode MatDiagonalGetDiagonal(Mat, Vec *);
519 PETSC_EXTERN PetscErrorCode MatDiagonalRestoreDiagonal(Mat, Vec *);
520 PETSC_EXTERN PetscErrorCode MatDiagonalGetInverseDiagonal(Mat, Vec *);
521 PETSC_EXTERN PetscErrorCode MatDiagonalRestoreInverseDiagonal(Mat, Vec *);
522 
523 #if defined(PETSC_HAVE_HYPRE)
524 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
525 #endif
526 
527 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat, const char[]);
528 PETSC_EXTERN PetscErrorCode MatPythonGetType(Mat, const char *[]);
529 
530 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
531 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
532 PETSC_EXTERN PetscErrorCode MatDestroy(Mat *);
533 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat, PetscObjectState *);
534 
535 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
536 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
537 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
538 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat, Mat *);
539 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat, PetscScalar *);
540 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat, const PetscScalar **);
541 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat, PetscInt, const PetscInt *, PetscScalar *);
542 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat, Mat);
543 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat, MatReuse, Mat *);
544 PETSC_EXTERN PetscErrorCode MatComputeVariableBlockEnvelope(Mat);
545 
546 PETSC_EXTERN PetscErrorCode MatSetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
547 PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat, IS, IS, const PetscScalar[], InsertMode);
548 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
549 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat, PetscInt, const PetscScalar[]);
550 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat, PetscInt, const PetscScalar[]);
551 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt[], const PetscScalar[]);
552 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat, PetscRandom);
553 
554 /*S
555    MatStencil - Data structure (C struct) for storing information about rows and
556    columns of a matrix as indexed on an associated grid. These are arguments to `MatSetStencil()` and `MatSetBlockStencil()`
557 
558    Level: beginner
559 
560    Notes:
561    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).
562    The c represents the degrees of freedom at each grid point (the dof argument to `DMDASetDOF()`). If dof is 1 then this entry is ignored.
563 
564    For stencil access to vectors see `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`.
565 
566    For staggered grids, see `DMStagStencil`
567 
568    Fortran Note:
569    See `MatSetValuesStencil()` for details.
570 
571 .seealso: [](ch_matrices), `Mat`, `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`,
572           `DMStagStencil`
573 S*/
574 typedef struct {
575   PetscInt k, j, i, c;
576 } MatStencil;
577 
578 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
579 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
580 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat, PetscInt, const PetscInt[], const PetscInt[], PetscInt);
581 
582 /*E
583     MatAssemblyType - Indicates if the process of setting values into the matrix is complete, and the matrix is ready for use
584 
585     Values:
586 +   `MAT_FLUSH_ASSEMBLY` - you will continue to put values into the matrix
587 -   `MAT_FINAL_ASSEMBLY` - you wish to use the matrix with the values currently inserted
588 
589     Level: beginner
590 
591 .seealso: [](ch_matrices), `Mat`, `MatSetValues`, `MatAssemblyBegin()`, `MatAssemblyEnd()`
592 E*/
593 typedef enum {
594   MAT_FLUSH_ASSEMBLY = 1,
595   MAT_FINAL_ASSEMBLY = 0
596 } MatAssemblyType;
597 
598 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat, MatAssemblyType);
599 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat, MatAssemblyType);
600 PETSC_EXTERN PetscErrorCode MatAssembled(Mat, PetscBool *);
601 
602 /*E
603    MatOption - Options that may be set for a matrix that indicate properties of the matrix or affect its behavior or storage
604 
605    Level: beginner
606 
607    Note:
608    See `MatSetOption()` for the use of the options
609 
610    Developer Note:
611    Entries that are negative need not be called collectively by all processes.
612 
613 .seealso: [](ch_matrices), `Mat`, `MatSetOption()`
614 E*/
615 typedef enum {
616   MAT_OPTION_MIN                  = -3,
617   MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
618   MAT_ROW_ORIENTED                = -1,
619   MAT_SYMMETRIC                   = 1,
620   MAT_STRUCTURALLY_SYMMETRIC      = 2,
621   MAT_FORCE_DIAGONAL_ENTRIES      = 3,
622   MAT_IGNORE_OFF_PROC_ENTRIES     = 4,
623   MAT_USE_HASH_TABLE              = 5,
624   MAT_KEEP_NONZERO_PATTERN        = 6,
625   MAT_IGNORE_ZERO_ENTRIES         = 7,
626   MAT_USE_INODES                  = 8,
627   MAT_HERMITIAN                   = 9,
628   MAT_SYMMETRY_ETERNAL            = 10,
629   MAT_NEW_NONZERO_LOCATION_ERR    = 11,
630   MAT_IGNORE_LOWER_TRIANGULAR     = 12,
631   MAT_ERROR_LOWER_TRIANGULAR      = 13,
632   MAT_GETROW_UPPERTRIANGULAR      = 14,
633   MAT_SPD                         = 15,
634   MAT_NO_OFF_PROC_ZERO_ROWS       = 16,
635   MAT_NO_OFF_PROC_ENTRIES         = 17,
636   MAT_NEW_NONZERO_LOCATIONS       = 18,
637   MAT_NEW_NONZERO_ALLOCATION_ERR  = 19,
638   MAT_SUBSET_OFF_PROC_ENTRIES     = 20,
639   MAT_SUBMAT_SINGLEIS             = 21,
640   MAT_STRUCTURE_ONLY              = 22,
641   MAT_SORTED_FULL                 = 23,
642   MAT_FORM_EXPLICIT_TRANSPOSE     = 24,
643   MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
644   MAT_SPD_ETERNAL                 = 26,
645   MAT_OPTION_MAX                  = 27
646 } MatOption;
647 
648 PETSC_EXTERN const char *const *MatOptions;
649 PETSC_EXTERN PetscErrorCode     MatSetOption(Mat, MatOption, PetscBool);
650 PETSC_EXTERN PetscErrorCode     MatGetOption(Mat, MatOption, PetscBool *);
651 PETSC_EXTERN PetscErrorCode     MatPropagateSymmetryOptions(Mat, Mat);
652 PETSC_EXTERN PetscErrorCode     MatGetType(Mat, MatType *);
653 
654 PETSC_EXTERN PetscErrorCode    MatGetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
655 PETSC_EXTERN PetscErrorCode    MatGetRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
656 PETSC_EXTERN PetscErrorCode    MatRestoreRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
657 PETSC_EXTERN PetscErrorCode    MatGetRowUpperTriangular(Mat);
658 PETSC_EXTERN PetscErrorCode    MatRestoreRowUpperTriangular(Mat);
659 PETSC_EXTERN PetscErrorCode    MatGetColumnVector(Mat, Vec, PetscInt);
660 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArray(Mat, PetscScalar *[]);
661 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayRead(Mat, const PetscScalar *[]);
662 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayWrite(Mat, PetscScalar *[]);
663 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArray(Mat, PetscScalar *[]);
664 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayRead(Mat, const PetscScalar *[]);
665 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayWrite(Mat, PetscScalar *[]);
666 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetMaxRowNonzeros(Mat, PetscInt *);
667 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetValuesLocalFast(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
668 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetType(Mat, MatType);
669 PETSC_EXTERN PetscErrorCode    MatSeqAIJKron(Mat, Mat, MatReuse, Mat *);
670 PETSC_EXTERN PetscErrorCode    MatSeqAIJRegister(const char[], PetscErrorCode (*)(Mat, MatType, MatReuse, Mat *));
671 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
672 PETSC_EXTERN PetscErrorCode    MatSeqBAIJGetArray(Mat, PetscScalar *[]);
673 PETSC_EXTERN PetscErrorCode    MatSeqBAIJRestoreArray(Mat, PetscScalar *[]);
674 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJGetArray(Mat, PetscScalar *[]);
675 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJRestoreArray(Mat, PetscScalar *[]);
676 PETSC_EXTERN PetscErrorCode    MatDenseGetArray(Mat, PetscScalar *[]);
677 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArray(Mat, PetscScalar *[]);
678 PETSC_EXTERN PetscErrorCode    MatDensePlaceArray(Mat, const PetscScalar[]);
679 PETSC_EXTERN PetscErrorCode    MatDenseReplaceArray(Mat, const PetscScalar[]);
680 PETSC_EXTERN PetscErrorCode    MatDenseResetArray(Mat);
681 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayRead(Mat, const PetscScalar *[]);
682 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayRead(Mat, const PetscScalar *[]);
683 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWrite(Mat, PetscScalar *[]);
684 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWrite(Mat, PetscScalar *[]);
685 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayAndMemType(Mat, PetscScalar *[], PetscMemType *);
686 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayAndMemType(Mat, PetscScalar *[]);
687 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayReadAndMemType(Mat, const PetscScalar *[], PetscMemType *);
688 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayReadAndMemType(Mat, const PetscScalar *[]);
689 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWriteAndMemType(Mat, PetscScalar *[], PetscMemType *);
690 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWriteAndMemType(Mat, PetscScalar *[]);
691 PETSC_EXTERN PetscErrorCode    MatGetBlockSize(Mat, PetscInt *);
692 PETSC_EXTERN PetscErrorCode    MatSetBlockSize(Mat, PetscInt);
693 PETSC_EXTERN PetscErrorCode    MatGetBlockSizes(Mat, PetscInt *, PetscInt *);
694 PETSC_EXTERN PetscErrorCode    MatSetBlockSizes(Mat, PetscInt, PetscInt);
695 PETSC_EXTERN PetscErrorCode    MatSetBlockSizesFromMats(Mat, Mat, Mat);
696 PETSC_EXTERN PetscErrorCode    MatSetVariableBlockSizes(Mat, PetscInt, PetscInt *);
697 PETSC_EXTERN PetscErrorCode    MatGetVariableBlockSizes(Mat, PetscInt *, const PetscInt **);
698 
699 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat, PetscInt, PetscScalar *[]);
700 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat, PetscScalar *[]);
701 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat, PetscInt, Vec *);
702 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat, PetscInt, Vec *);
703 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat, PetscInt, Vec *);
704 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat, PetscInt, Vec *);
705 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat, PetscInt, Vec *);
706 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat, PetscInt, Vec *);
707 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
708 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat, Mat *);
709 
710 PETSC_EXTERN PetscErrorCode MatMult(Mat, Vec, Vec);
711 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat, Vec, Vec);
712 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat, Vec, Vec, Vec);
713 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat, Vec, Vec);
714 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat, Vec, Vec);
715 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat, Mat, PetscReal, PetscBool *);
716 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat, Mat, PetscReal, PetscBool *);
717 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat, Vec, Vec, Vec);
718 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat, Vec, Vec, Vec);
719 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat, Mat, Mat);
720 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat, Mat, Mat);
721 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat, Mat, Mat);
722 PETSC_EXTERN PetscErrorCode MatResidual(Mat, Vec, Vec, Vec);
723 
724 /*E
725   MatDuplicateOption - Indicates if a duplicated sparse matrix should have
726   its numerical values copied over or just its nonzero structure.
727 
728   Values:
729 + `MAT_DO_NOT_COPY_VALUES`    - Create a matrix using the same nonzero pattern as the original matrix,
730                                 with zeros for the numerical values
731 . `MAT_COPY_VALUES`           - Create a matrix with the same nonzero pattern as the original matrix
732                                 and with the same numerical values.
733 - `MAT_SHARE_NONZERO_PATTERN` - Create a matrix that shares the nonzero structure with the previous matrix
734                                 and does not copy it, using zeros for the numerical values. The parent and
735                                 child matrices will share their index (i and j) arrays, and you cannot
736                                 insert new nonzero entries into either matrix
737 
738   Level: beginner
739 
740   Note:
741   Many matrix types (including `MATSEQAIJ`) do not support the `MAT_SHARE_NONZERO_PATTERN` optimization; in
742   this case the behavior is as if `MAT_DO_NOT_COPY_VALUES` has been specified.
743 
744 .seealso: [](ch_matrices), `Mat`, `MatDuplicate()`
745 E*/
746 typedef enum {
747   MAT_DO_NOT_COPY_VALUES,
748   MAT_COPY_VALUES,
749   MAT_SHARE_NONZERO_PATTERN
750 } MatDuplicateOption;
751 
752 PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
753 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);
754 
755 PETSC_EXTERN PetscErrorCode MatCopy(Mat, Mat, MatStructure);
756 PETSC_EXTERN PetscErrorCode MatView(Mat, PetscViewer);
757 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat, PetscReal, PetscBool *);
758 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat, PetscBool *);
759 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat, PetscReal, PetscBool *);
760 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat, PetscBool *, PetscBool *);
761 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat, PetscBool *, PetscBool *);
762 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat, PetscBool *, PetscBool *);
763 PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat, PetscBool *, PetscBool *);
764 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat, PetscBool *, PetscInt *);
765 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
766 
767 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
768 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
769 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
770 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
771 
772 /*S
773    MatInfo - Context of matrix information, used with `MatGetInfo()`
774 
775    Level: intermediate
776 
777    Fortran Note:
778    Information is stored as a double-precision array of dimension `MAT_INFO_SIZE`
779 
780 .seealso: [](ch_matrices), `Mat`, `MatGetInfo()`, `MatInfoType`
781 S*/
782 typedef struct {
783   PetscLogDouble block_size;                          /* block size */
784   PetscLogDouble nz_allocated, nz_used, nz_unneeded;  /* number of nonzeros */
785   PetscLogDouble memory;                              /* memory allocated */
786   PetscLogDouble assemblies;                          /* number of matrix assemblies called */
787   PetscLogDouble mallocs;                             /* number of mallocs during MatSetValues() */
788   PetscLogDouble fill_ratio_given, fill_ratio_needed; /* fill ratio for LU/ILU */
789   PetscLogDouble factor_mallocs;                      /* number of mallocs during factorization */
790 } MatInfo;
791 
792 /*E
793     MatInfoType - Indicates if you want information about the local part of the matrix,
794     the entire parallel matrix or the maximum over all the local parts.
795 
796     Values:
797 +   `MAT_LOCAL`      - values for each MPI process part of the matrix
798 .   `MAT_GLOBAL_MAX` - maximum of each value over all MPI processes
799 -   `MAT_GLOBAL_SUM` - sum of each value over all MPI processes
800 
801     Level: beginner
802 
803 .seealso: [](ch_matrices), `MatGetInfo()`, `MatInfo`
804 E*/
805 typedef enum {
806   MAT_LOCAL      = 1,
807   MAT_GLOBAL_MAX = 2,
808   MAT_GLOBAL_SUM = 3
809 } MatInfoType;
810 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat, MatInfoType, MatInfo *);
811 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat, Vec);
812 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat, Vec, PetscInt[]);
813 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat, Vec, PetscInt[]);
814 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat, Vec, PetscInt[]);
815 PETSC_EXTERN PetscErrorCode MatGetRowSumAbs(Mat, Vec);
816 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat, Vec, PetscInt[]);
817 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat, Vec);
818 PETSC_EXTERN PetscErrorCode MatTranspose(Mat, MatReuse, Mat *);
819 PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat, Mat *);
820 PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat, Mat);
821 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat, MatReuse, Mat *);
822 PETSC_EXTERN PetscErrorCode MatPermute(Mat, IS, IS, Mat *);
823 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat, Vec, Vec);
824 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat, Vec, InsertMode);
825 
826 PETSC_EXTERN PetscErrorCode MatEqual(Mat, Mat, PetscBool *);
827 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat, Mat, PetscInt, PetscBool *);
828 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat, Mat, PetscInt, PetscBool *);
829 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
830 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
831 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
832 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
833 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
834 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
835 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
836 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
837 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
838 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat, PetscInt, PetscBool *);
839 
840 PETSC_EXTERN PetscErrorCode MatNorm(Mat, NormType, PetscReal *);
841 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat, NormType, PetscReal *);
842 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat, PetscScalar *);
843 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat, PetscReal *);
844 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat, PetscReal *);
845 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat, PetscScalar *);
846 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat, PetscReal *);
847 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat, PetscReal *);
848 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat, PetscInt, PetscReal *);
849 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
850 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
851 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
852 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat, IS, PetscScalar, Vec, Vec);
853 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
854 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
855 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
856 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat, IS, PetscScalar, Vec, Vec);
857 
858 PETSC_EXTERN PetscErrorCode MatGetSize(Mat, PetscInt *, PetscInt *);
859 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat, PetscInt *, PetscInt *);
860 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat, PetscInt *, PetscInt *);
861 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat, const PetscInt **);
862 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat, PetscInt *, PetscInt *);
863 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat, const PetscInt **);
864 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat, IS *, IS *);
865 
866 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
867 PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatrices()", ) static inline PetscErrorCode MatGetSubMatrices(Mat mat, PetscInt n, const IS irow[], const IS icol[], MatReuse scall, Mat *submat[])
868 {
869   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
870 }
871 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
872 PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatricesMPI()", ) static inline PetscErrorCode MatGetSubMatricesMPI(Mat mat, PetscInt n, const IS irow[], const IS icol[], MatReuse scall, Mat *submat[])
873 {
874   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
875 }
876 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
877 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
878 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
879 PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatrix()", ) static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat)
880 {
881   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
882 }
883 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
884 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
885 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
886 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);
887 
888 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm, Mat, PetscInt, PetscInt, MatReuse, Mat *);
889 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm, Mat, PetscInt, PetscInt, Mat *);
890 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat, Mat);
891 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat, MatReuse, Mat *);
892 PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat, Mat *);
893 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
894 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat, MatReuse, IS *, Mat *);
895 PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat, PetscCount *);
896 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat, Mat, MatReuse, IS *, IS *, Mat *);
897 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *, const PetscInt *[]);
898 
899 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
900 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat, PetscInt n, IS is[], PetscInt ov);
901 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);
902 
903 PETSC_EXTERN PetscErrorCode MatMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
904 
905 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
906 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
907 
908 PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
909 PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);
910 
911 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
912 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);
913 
914 PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
915 PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);
916 
917 PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
918 PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);
919 
920 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping, ISLocalToGlobalMapping);
921 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
922 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat, PetscLayout *, PetscLayout *);
923 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat, PetscLayout, PetscLayout);
924 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
925 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
926 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
927 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
928 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
929 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
930 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
931 
932 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
933 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);
934 
935 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat, Vec, Vec);
936 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat, Vec, Vec, Vec);
937 PETSC_EXTERN PetscErrorCode MatRestrict(Mat, Vec, Vec);
938 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat, Mat, Mat *);
939 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat, Mat, Mat, Mat *);
940 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat, Mat, Mat *);
941 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat, Vec *, Vec *);
942 PETSC_DEPRECATED_FUNCTION(3, 6, 0, "MatCreateVecs()", ) static inline PetscErrorCode MatGetVecs(Mat mat, Vec *x, Vec *y)
943 {
944   return MatCreateVecs(mat, x, y);
945 }
946 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat, PetscInt, MPI_Comm, MatReuse, Mat *);
947 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat, MPI_Comm, MatReuse, Mat *);
948 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat, IS *);
949 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat, IS *);
950 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm, Mat, PetscInt, MatReuse, Mat *);
951 
952 /*@C
953    MatSetValue - Set a single entry into a matrix.
954 
955    Not Collective
956 
957    Input Parameters:
958 +  mat  - the matrix
959 .  i    - the row location of the entry
960 .  j    - the column location of the entry
961 .  va   - the value to insert
962 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
963 
964    Level: beginner
965 
966    Notes:
967    This value may be cached, so `MatAssemblyBegin()` and `MatAssemblyEnd()`
968    MUST be called after all calls to `MatSetValue()` have been completed.
969 
970    For efficiency one should use `MatSetValues()` and set several values simultaneously.
971 
972 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `InsertMode`, `MatGetValue()`, `MatSetValues()`,
973           `MatSetValueLocal()`, `MatSetValuesLocal()`
974 @*/
975 static inline PetscErrorCode MatSetValue(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
976 {
977   return MatSetValues(mat, 1, &i, 1, &j, &va, mode);
978 }
979 
980 /*@C
981    MatGetValue - Gets a single value from a matrix
982 
983    Not Collective; can only return a value owned by the given process
984 
985    Input Parameters:
986 +  mat - the matrix
987 .  row - the row location of the entry
988 -  col - the column location of the entry
989 
990    Output Parameter:
991 .  va - the value
992 
993    Level: advanced
994 
995    Notes:
996    The matrix must have been assembled with `MatAssemblyBegin()` and `MatAssemblyEnd()` before this call
997 
998    For efficiency one should use `MatGetValues()` and get several values simultaneously.
999 
1000    See notes for `MatGetValues()`.
1001 
1002 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
1003 @*/
1004 static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
1005 {
1006   return MatGetValues(mat, 1, &row, 1, &col, va);
1007 }
1008 
1009 /*@C
1010    MatSetValueLocal - Inserts or adds a single value into a matrix, using a local numbering of the nodes.
1011 
1012    Not Collective
1013 
1014    Input Parameters:
1015 +  mat  - the matrix
1016 .  i    - the row location of the entry
1017 .  j    - the column location of the entry
1018 .  va   - the value to insert
1019 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
1020 
1021    Level: intermediate
1022 
1023    Notes:
1024    For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.
1025 
1026    See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.
1027 
1028 .seealso: [](ch_matrices), `MatSetValue()`, `MatSetValuesLocal()`
1029 @*/
1030 static inline PetscErrorCode MatSetValueLocal(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
1031 {
1032   return MatSetValuesLocal(mat, 1, &i, 1, &j, &va, mode);
1033 }
1034 
1035 /*MC
1036    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
1037    row in a matrix providing the data that one can use to correctly preallocate the matrix.
1038 
1039    Synopsis:
1040    #include <petscmat.h>
1041    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
1042 
1043    Collective
1044 
1045    Input Parameters:
1046 +  comm  - the communicator that will share the eventually allocated matrix
1047 .  nrows - the number of LOCAL rows in the matrix
1048 -  ncols - the number of LOCAL columns in the matrix
1049 
1050    Output Parameters:
1051 +  dnz - the array that will be passed to the matrix preallocation routines
1052 -  onz - the other array passed to the matrix preallocation routines
1053 
1054    Level: deprecated (since v3.19)
1055 
1056    Notes:
1057    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1058    the use of this routine
1059 
1060    This is a macro that handles its own error checking, it does not return an error code.
1061 
1062    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1063 
1064    Developer Note:
1065    This is a MACRO, not a function, because it has a leading { that is closed by `PetscPreallocateFinalize()`.
1066 
1067 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1068           `MatPreallocateSymmetricSetLocalBlock()`
1069 M*/
1070 #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
1071   do { \
1072     PetscInt              __nrows = (nrows), __ncols = (ncols), __rstart, __end = 0; \
1073     PetscInt PETSC_UNUSED __start; \
1074     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
1075     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
1076     __start = __end - __ncols; \
1077     (void)__start; \
1078     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
1079   __rstart -= __nrows
1080 
1081 #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateBegin()", ) MatPreallocateBegin(__VA_ARGS__)
1082 
1083 /*MC
1084    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1085    inserted using a local number of the rows and columns
1086 
1087    Synopsis:
1088    #include <petscmat.h>
1089    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1090 
1091    Not Collective
1092 
1093    Input Parameters:
1094 +  map   - the row mapping from local numbering to global numbering
1095 .  nrows - the number of rows indicated
1096 .  rows  - the indices of the rows
1097 .  cmap  - the column mapping from local to global numbering
1098 .  ncols - the number of columns in the matrix
1099 .  cols  - the columns indicated
1100 .  dnz   - the array that will be passed to the matrix preallocation routines
1101 -  onz   - the other array passed to the matrix preallocation routines
1102 
1103    Level: deprecated (since v3.19)
1104 
1105    Notes:
1106    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1107    the use of this routine
1108 
1109    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1110 
1111 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1112           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
1113 M*/
1114 #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1115   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));)
1116 
1117 /*MC
1118    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1119    inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
1120 
1121    Synopsis:
1122    #include <petscmat.h>
1123    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1124 
1125    Not Collective
1126 
1127    Input Parameters:
1128 +  map   - the row mapping from local numbering to global numbering
1129 .  nrows - the number of rows indicated
1130 .  rows  - the indices of the rows (these values are mapped to the global values)
1131 .  cmap  - the column mapping from local to global numbering
1132 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1133 .  cols  - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1134 .  dnz   - the array that will be passed to the matrix preallocation routines
1135 -  onz   - the other array passed to the matrix preallocation routines
1136 
1137    Level: deprecated (since v3.19)
1138 
1139    Notes:
1140    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1141    the use of this routine
1142 
1143    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1144 
1145 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1146           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1147 M*/
1148 #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1149   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));)
1150 
1151 /*MC
1152    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1153    inserted using a local number of the rows and columns
1154 
1155    Synopsis:
1156    #include <petscmat.h>
1157    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1158 
1159    Not Collective
1160 
1161    Input Parameters:
1162 +  map   - the row mapping from local numbering to global numbering
1163 .  nrows - the number of rows indicated
1164 .  rows  - the indices of the rows
1165 .  cmap  - the column mapping from local to global numbering
1166 .  ncols - the number of columns in the matrix
1167 .  cols  - the columns indicated
1168 .  dnz   - the array that will be passed to the matrix preallocation routines
1169 -  onz   - the other array passed to the matrix preallocation routines
1170 
1171    Level: deprecated (since v3.19)
1172 
1173    Notes:
1174    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1175    the use of this routine
1176 
1177    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1178 
1179 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1180           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1181 M*/
1182 #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1183   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));)
1184 
1185 /*MC
1186    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1187    inserted using a local number of the rows and columns
1188 
1189    Synopsis:
1190    #include <petscmat.h>
1191    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1192 
1193    Not Collective
1194 
1195    Input Parameters:
1196 +  map   - the mapping between local numbering and global numbering
1197 .  nrows - the number of rows indicated
1198 .  rows  - the indices of the rows
1199 .  ncols - the number of columns in the matrix
1200 .  cols  - the columns indicated
1201 .  dnz   - the array that will be passed to the matrix preallocation routines
1202 -  onz   - the other array passed to the matrix preallocation routines
1203 
1204    Level: deprecated (since v3.19)
1205 
1206    Notes:
1207    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1208    the use of this routine
1209 
1210    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1211 
1212 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`
1213           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1214 M*/
1215 #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1216   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));)
1217 
1218 /*MC
1219    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1220    inserted using a local number of the rows and columns
1221 
1222    Synopsis:
1223    #include <petscmat.h>
1224    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1225 
1226    Not Collective
1227 
1228    Input Parameters:
1229 +  row   - the row
1230 .  ncols - the number of columns in the matrix
1231 -  cols  - the columns indicated
1232 
1233    Output Parameters:
1234 +  dnz - the array that will be passed to the matrix preallocation routines
1235 -  onz - the other array passed to the matrix preallocation routines
1236 
1237    Level: deprecated (since v3.19)
1238 
1239    Notes:
1240    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1241    the use of this routine
1242 
1243    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1244 
1245    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().
1246 
1247 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1248           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1249 M*/
1250 #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1251   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) { \
1252     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1253     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1254   })
1255 
1256 /*MC
1257    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1258    inserted using a local number of the rows and columns
1259 
1260    Synopsis:
1261    #include <petscmat.h>
1262    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1263 
1264    Not Collective
1265 
1266    Input Parameters:
1267 +  nrows - the number of rows indicated
1268 .  rows  - the indices of the rows
1269 .  ncols - the number of columns in the matrix
1270 .  cols  - the columns indicated
1271 .  dnz   - the array that will be passed to the matrix preallocation routines
1272 -  onz   - the other array passed to the matrix preallocation routines
1273 
1274    Level: deprecated (since v3.19)
1275 
1276    Notes:
1277    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1278    the use of this routine
1279 
1280    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1281 
1282    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().
1283 
1284 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1285           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1286 M*/
1287 #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1288   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
1289     if (cols[__i] >= __end) onz[row - __rstart]++; \
1290     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1291   })
1292 
1293 /*MC
1294    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1295 
1296    Synopsis:
1297    #include <petscmat.h>
1298    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1299 
1300    Not Collective
1301 
1302    Input Parameters:
1303 +  A     - matrix
1304 .  row   - row where values exist (must be local to this process)
1305 .  ncols - number of columns
1306 .  cols  - columns with nonzeros
1307 .  dnz   - the array that will be passed to the matrix preallocation routines
1308 -  onz   - the other array passed to the matrix preallocation routines
1309 
1310    Level: deprecated (since v3.19)
1311 
1312    Notes:
1313    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1314    the use of this routine
1315 
1316    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1317 
1318    Developer Note:
1319    This is a MACRO, not a function, because it uses a bunch of variables private to the MatPreallocation.... routines.
1320 
1321 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1322           `MatPreallocateSymmetricSetLocalBlock()`
1323 M*/
1324 #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))
1325 
1326 /*MC
1327    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1328    row in a matrix providing the data that one can use to correctly preallocate the matrix.
1329 
1330    Synopsis:
1331    #include <petscmat.h>
1332    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)
1333 
1334    Collective
1335 
1336    Input Parameters:
1337 +  dnz - the array that was be passed to the matrix preallocation routines
1338 -  onz - the other array passed to the matrix preallocation routines
1339 
1340    Level: deprecated (since v3.19)
1341 
1342    Notes:
1343    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1344    the use of this routine
1345 
1346    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1347 
1348    Developer Note:
1349    This is a MACRO, not a function, because it closes the { started in MatPreallocateBegin().
1350 
1351 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1352           `MatPreallocateSymmetricSetLocalBlock()`
1353 M*/
1354 #define MatPreallocateEnd(dnz, onz) \
1355   PetscCall(PetscFree2(dnz, onz)); \
1356   } \
1357   while (0)
1358 
1359 #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateEnd()", ) MatPreallocateEnd(__VA_ARGS__)
1360 
1361 /* Routines unique to particular data structures */
1362 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, void *);
1363 
1364 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1365 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);
1366 
1367 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1368 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1369 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1370 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1371 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1372 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscInt, PetscBool);
1373 
1374 #define MAT_SKIP_ALLOCATION -4
1375 
1376 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1377 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1378 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1379 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);
1380 
1381 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1382 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1383 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1384 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1385 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1386 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1387 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1388 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1389 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1390 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1391 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1392 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1393 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1394 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1395 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);
1396 
1397 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1398 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1399 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatDenseSetLDA()", ) static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
1400 {
1401   return MatDenseSetLDA(A, lda);
1402 }
1403 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);
1404 
1405 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1406 
1407 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1408 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1409 
1410 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1411 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1412 /*
1413   These routines are not usually accessed directly, rather solving is
1414   done through the KSP and PC interfaces.
1415 */
1416 
1417 /*J
1418    MatOrderingType - String with the name of a PETSc matrix ordering. These orderings are most commonly used
1419    to reduce fill in sparse factorizations.
1420 
1421    Level: beginner
1422 
1423    Notes:
1424    If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and instead the external factorization solver package called utilizes one
1425    of its own.
1426 
1427    There is no `MatOrdering` object, the ordering is obtained directly from the matrix with `MatGetOrdering()`
1428 
1429    Developer Note:
1430    This API should be converted to an API similar to those for `MatColoring` and `MatPartitioning`
1431 
1432 .seealso: [](ch_matrices), [](sec_graph), `MatGetFactor()`, `MatGetOrdering()`, `MatColoringType`, `MatPartitioningType`, `MatCoarsenType`, `MatCoarsenType`,
1433           `PCFactorSetOrderingType()`
1434 J*/
1435 typedef const char *MatOrderingType;
1436 #define MATORDERINGNATURAL       "natural"
1437 #define MATORDERINGND            "nd"
1438 #define MATORDERING1WD           "1wd"
1439 #define MATORDERINGRCM           "rcm"
1440 #define MATORDERINGQMD           "qmd"
1441 #define MATORDERINGROWLENGTH     "rowlength"
1442 #define MATORDERINGWBM           "wbm"
1443 #define MATORDERINGSPECTRAL      "spectral"
1444 #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1445 #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1446 #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 */
1447 #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */
1448 
1449 PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1450 PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1451 PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1452 PETSC_EXTERN PetscFunctionList MatOrderingList;
1453 
1454 #include "petscmatcoarsen.h"
1455 
1456 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1457 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);
1458 
1459 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);
1460 
1461 /*S
1462    MatFactorShiftType - Type of numeric shift used for factorizations
1463 
1464    Values:
1465 +  `MAT_SHIFT_NONE`              - do not shift the matrix diagonal entries
1466 .  `MAT_SHIFT_NONZERO`           - shift the entries to be non-zero
1467 .  `MAT_SHIFT_POSITIVE_DEFINITE` - shift the entries to force the factorization to be positive definite
1468 -  `MAT_SHIFT_INBLOCKS`          - only shift the factors inside the small dense diagonal blocks of the matrix, for example with `MATBAIJ`
1469 
1470    Level: intermediate
1471 
1472 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `PCFactorSetShiftType()`
1473 S*/
1474 typedef enum {
1475   MAT_SHIFT_NONE,
1476   MAT_SHIFT_NONZERO,
1477   MAT_SHIFT_POSITIVE_DEFINITE,
1478   MAT_SHIFT_INBLOCKS
1479 } MatFactorShiftType;
1480 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1481 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1482 
1483 /*S
1484     MatFactorError - indicates what type of error was generated in a matrix factorization
1485 
1486     Values:
1487 +   `MAT_FACTOR_NOERROR`           - there was no error during the factorization
1488 .   `MAT_FACTOR_STRUCT_ZEROPIVOT`  - there was a missing entry in a diagonal location of the matrix
1489 .   `MAT_FACTOR_NUMERIC_ZEROPIVOT` - there was a (near) zero pivot during the factorization
1490 .   `MAT_FACTOR_OUTMEMORY`         - the factorization has run out of memory
1491 -   `MAT_FACTOR_OTHER`             - some other error has occurred.
1492 
1493     Level: intermediate
1494 
1495     Note:
1496     When a factorization is done in a preconditioner `PC` the error may be propagated up to a `PCFailedReason` or a `KSPConvergedReason`
1497 
1498 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `MatFactorGetError()`, `MatFactorGetErrorZeroPivot()`, `MatFactorClearError()`,
1499           `PCFailedReason`, `PCGetFailedReason()`, `KSPConvergedReason`
1500 S*/
1501 typedef enum {
1502   MAT_FACTOR_NOERROR,
1503   MAT_FACTOR_STRUCT_ZEROPIVOT,
1504   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1505   MAT_FACTOR_OUTMEMORY,
1506   MAT_FACTOR_OTHER
1507 } MatFactorError;
1508 
1509 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1510 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1511 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);
1512 
1513 /*S
1514    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1515 
1516    Level: developer
1517 
1518    Note:
1519    You can use `MatFactorInfoInitialize()` to set default values.
1520 
1521    Fortran Note:
1522    The data is available in a double precision arrays of size `MAT_FACTORINFO_SIZE`
1523 
1524 .seealso: [](ch_matrices), `Mat`, `MatInfo`, `MatGetFactor()`, `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`,
1525           `MatICCFactorSymbolic()`, `MatICCFactor()`, `MatFactorInfoInitialize()`
1526 S*/
1527 typedef struct {
1528   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1529   PetscReal usedt;
1530   PetscReal dt;            /* drop tolerance */
1531   PetscReal dtcol;         /* tolerance for pivoting */
1532   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1533   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1534   PetscReal levels;        /* ICC/ILU(levels) */
1535   PetscReal pivotinblocks; /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1536                                    factorization may be faster if do not pivot */
1537   PetscReal zeropivot;     /* pivot is called zero if less than this */
1538   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1539   PetscReal shiftamount;   /* how large the shift is */
1540 } MatFactorInfo;
1541 
1542 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1543 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1544 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1545 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1546 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1547 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1548 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1549 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1550 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1551 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1552 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1553 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1554 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1555 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1556 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1557 PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1558 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1559 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1560 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1561 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1562 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1563 PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1564 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1565 
1566 typedef enum {
1567   MAT_FACTOR_SCHUR_UNFACTORED,
1568   MAT_FACTOR_SCHUR_FACTORED,
1569   MAT_FACTOR_SCHUR_INVERTED
1570 } MatFactorSchurStatus;
1571 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1572 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1573 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1574 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1575 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1576 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1577 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1578 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1579 
1580 PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1581 /*E
1582    MatSORType - What type of (S)SOR to perform
1583 
1584    Values:
1585 +  `SOR_FORWARD_SWEEP`         - do a sweep from the first row of the matrix to the last
1586 .  `SOR_BACKWARD_SWEEP`        - do a sweep from the last row to the first
1587 .  `SOR_SYMMETRIC_SWEEP`       - do a sweep from the first row to the last and then back to the first
1588 .  `SOR_LOCAL_FORWARD_SWEEP`   - each MPI process does its own forward sweep with no communication
1589 .  `SOR_LOCAL_BACKWARD_SWEEP`  - each MPI process does its own backward sweep with no communication
1590 .  `SOR_LOCAL_SYMMETRIC_SWEEP` - each MPI process does its own symmetric sweep with no communication
1591 .  `SOR_ZERO_INITIAL_GUESS`    - indicates the initial solution is zero so the sweep can avoid unneeded computation
1592 .  `SOR_EISENSTAT`             - apply the Eisentat application of SOR, see `PCEISENSTAT`
1593 .  `SOR_APPLY_UPPER`           - multiply by the upper triangular portion of the matrix
1594 -  `SOR_APPLY_LOWER`           - multiply by the lower triangular portion of the matrix
1595 
1596    Level: beginner
1597 
1598    Note:
1599    These may be bitwise ORd together
1600 
1601    Developer Note:
1602    Since `MatSORType` may be bitwise ORd together, so do not change the numerical values below
1603 
1604 .seealso: [](ch_matrices), `MatSOR()`
1605 E*/
1606 typedef enum {
1607   SOR_FORWARD_SWEEP         = 1,
1608   SOR_BACKWARD_SWEEP        = 2,
1609   SOR_SYMMETRIC_SWEEP       = 3,
1610   SOR_LOCAL_FORWARD_SWEEP   = 4,
1611   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1612   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1613   SOR_ZERO_INITIAL_GUESS    = 16,
1614   SOR_EISENSTAT             = 32,
1615   SOR_APPLY_UPPER           = 64,
1616   SOR_APPLY_LOWER           = 128
1617 } MatSORType;
1618 PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);
1619 
1620 /*S
1621    MatColoring - Object for managing the coloring of matrices.
1622 
1623    Level: beginner
1624 
1625    Notes:
1626    Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1627    matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).
1628 
1629    Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1630    same object can also be used to efficiently convert data created by Automatic Differentiation tools to PETSc sparse matrices.
1631 
1632 .seealso: [](ch_matrices), [](sec_graph), `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`,
1633           `MatPartitioning`, `MatColoringType`, `MatPartitioningType`, `MatOrderingType`, `MatColoringSetWeightType()`,
1634           `MatColoringSetWeights()`, `MatCoarsenType`, `MatCoarsen`
1635 S*/
1636 typedef struct _p_MatColoring *MatColoring;
1637 
1638 /*J
1639    MatColoringType - String with the name of a PETSc matrix coloring
1640 
1641    Level: beginner
1642 
1643 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatFDColoringCreate()`, `MatColoringSetType()`, `MatColoring`
1644 J*/
1645 typedef const char *MatColoringType;
1646 #define MATCOLORINGJP      "jp"
1647 #define MATCOLORINGPOWER   "power"
1648 #define MATCOLORINGNATURAL "natural"
1649 #define MATCOLORINGSL      "sl"
1650 #define MATCOLORINGLF      "lf"
1651 #define MATCOLORINGID      "id"
1652 #define MATCOLORINGGREEDY  "greedy"
1653 
1654 /*E
1655    MatColoringWeightType - Type of weight scheme used for the coloring algorithm
1656 
1657    Values:
1658 +  `MAT_COLORING_RANDOM`  - Random weights
1659 .  `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1660 -  `MAT_COLORING_LF`      - Last-first weighting.
1661 
1662     Level: intermediate
1663 
1664 .seealso: [](ch_matrices), `MatColoring`, `MatColoringCreate()`, `MatColoringSetWeightType()`, `MatColoringSetWeights()`
1665 E*/
1666 typedef enum {
1667   MAT_COLORING_WEIGHT_RANDOM,
1668   MAT_COLORING_WEIGHT_LEXICAL,
1669   MAT_COLORING_WEIGHT_LF,
1670   MAT_COLORING_WEIGHT_SL
1671 } MatColoringWeightType;
1672 
1673 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1674 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1675 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1676 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1677 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1678 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1679 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1680 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1681 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1682 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1683 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1684 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1685 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1686 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1687 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1688 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1689 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1690 PETSC_DEPRECATED_FUNCTION(3, 10, 0, "MatColoringTest()", ) static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
1691 {
1692   return MatColoringTest(matcoloring, iscoloring);
1693 }
1694 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);
1695 
1696 /*S
1697    MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring
1698 
1699    Level: beginner
1700 
1701    Notes:
1702    This object is creating utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`
1703 
1704    The `SNES` option `-snes_fd_coloring` will cause the Jacobian needed by `SNES` to be computed via a use of this object
1705 
1706 .seealso: [](ch_matrices), `Mat`, `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1707 S*/
1708 typedef struct _p_MatFDColoring *MatFDColoring;
1709 
1710 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1711 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1712 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1713 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, PetscErrorCode (*)(void), void *);
1714 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, PetscErrorCode (**)(void), void **);
1715 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1716 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1717 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1718 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1719 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1720 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1721 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1722 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);
1723 
1724 /*S
1725    MatTransposeColoring - Object for computing a sparse matrix product $C = A*B^T$ via coloring
1726 
1727    Level: developer
1728 
1729 .seealso: [](ch_matrices), `Mat`, `MatProductType`, `MatTransposeColoringCreate()`
1730 S*/
1731 typedef struct _p_MatTransposeColoring *MatTransposeColoring;
1732 
1733 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1734 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1735 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1736 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);
1737 
1738 /*S
1739    MatPartitioning - Object for managing the partitioning of a matrix or graph
1740 
1741    Level: beginner
1742 
1743    Note:
1744    There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1745    via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)
1746 
1747    Developer Note:
1748    It is an extra maintenance and documentation cost to have two objects with the same functionality. `PetscPartitioner` should be removed
1749 
1750 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`, `MatOrderingType`,
1751           `MatCoarsenType`, `MatCoarsenType`
1752 S*/
1753 typedef struct _p_MatPartitioning *MatPartitioning;
1754 
1755 /*J
1756     MatPartitioningType - String with the name of a PETSc matrix partitioning
1757 
1758    Level: beginner
1759 dm
1760 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`, `MatColoringType`, `MatOrderingType`,
1761           `MatCoarsenType`, `MatCoarsenType`
1762 J*/
1763 typedef const char *MatPartitioningType;
1764 #define MATPARTITIONINGCURRENT  "current"
1765 #define MATPARTITIONINGAVERAGE  "average"
1766 #define MATPARTITIONINGSQUARE   "square"
1767 #define MATPARTITIONINGPARMETIS "parmetis"
1768 #define MATPARTITIONINGCHACO    "chaco"
1769 #define MATPARTITIONINGPARTY    "party"
1770 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1771 #define MATPARTITIONINGHIERARCH "hierarch"
1772 
1773 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1774 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1775 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1776 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1777 PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1778 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1779 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1780 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1781 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1782 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1783 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1784 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1785 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1786 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1787 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1788 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1789 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1790 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1791 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);
1792 
1793 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1794 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1795 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1796 
1797 typedef enum {
1798   MP_CHACO_MULTILEVEL = 1,
1799   MP_CHACO_SPECTRAL   = 2,
1800   MP_CHACO_LINEAR     = 4,
1801   MP_CHACO_RANDOM     = 5,
1802   MP_CHACO_SCATTERED  = 6
1803 } MPChacoGlobalType;
1804 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1805 typedef enum {
1806   MP_CHACO_KERNIGHAN = 1,
1807   MP_CHACO_NONE      = 2
1808 } MPChacoLocalType;
1809 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1810 typedef enum {
1811   MP_CHACO_LANCZOS = 0,
1812   MP_CHACO_RQI     = 1
1813 } MPChacoEigenType;
1814 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1815 
1816 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1817 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1818 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1819 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1820 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1821 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1822 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1823 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1824 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1825 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1826 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);
1827 
1828 #define MP_PARTY_OPT "opt"
1829 #define MP_PARTY_LIN "lin"
1830 #define MP_PARTY_SCA "sca"
1831 #define MP_PARTY_RAN "ran"
1832 #define MP_PARTY_GBF "gbf"
1833 #define MP_PARTY_GCF "gcf"
1834 #define MP_PARTY_BUB "bub"
1835 #define MP_PARTY_DEF "def"
1836 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1837 #define MP_PARTY_HELPFUL_SETS  "hs"
1838 #define MP_PARTY_KERNIGHAN_LIN "kl"
1839 #define MP_PARTY_NONE          "no"
1840 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1841 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1842 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1843 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);
1844 
1845 typedef enum {
1846   MP_PTSCOTCH_DEFAULT,
1847   MP_PTSCOTCH_QUALITY,
1848   MP_PTSCOTCH_SPEED,
1849   MP_PTSCOTCH_BALANCE,
1850   MP_PTSCOTCH_SAFETY,
1851   MP_PTSCOTCH_SCALABILITY
1852 } MPPTScotchStrategyType;
1853 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1854 
1855 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1856 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1857 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1858 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);
1859 
1860 /*
1861  * hierarchical partitioning
1862  */
1863 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1864 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1865 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1866 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1867 
1868 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);
1869 
1870 /*
1871     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1872     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1873 */
1874 typedef enum {
1875   MATOP_SET_VALUES               = 0,
1876   MATOP_GET_ROW                  = 1,
1877   MATOP_RESTORE_ROW              = 2,
1878   MATOP_MULT                     = 3,
1879   MATOP_MULT_ADD                 = 4,
1880   MATOP_MULT_TRANSPOSE           = 5,
1881   MATOP_MULT_TRANSPOSE_ADD       = 6,
1882   MATOP_SOLVE                    = 7,
1883   MATOP_SOLVE_ADD                = 8,
1884   MATOP_SOLVE_TRANSPOSE          = 9,
1885   MATOP_SOLVE_TRANSPOSE_ADD      = 10,
1886   MATOP_LUFACTOR                 = 11,
1887   MATOP_CHOLESKYFACTOR           = 12,
1888   MATOP_SOR                      = 13,
1889   MATOP_TRANSPOSE                = 14,
1890   MATOP_GETINFO                  = 15,
1891   MATOP_EQUAL                    = 16,
1892   MATOP_GET_DIAGONAL             = 17,
1893   MATOP_DIAGONAL_SCALE           = 18,
1894   MATOP_NORM                     = 19,
1895   MATOP_ASSEMBLY_BEGIN           = 20,
1896   MATOP_ASSEMBLY_END             = 21,
1897   MATOP_SET_OPTION               = 22,
1898   MATOP_ZERO_ENTRIES             = 23,
1899   MATOP_ZERO_ROWS                = 24,
1900   MATOP_LUFACTOR_SYMBOLIC        = 25,
1901   MATOP_LUFACTOR_NUMERIC         = 26,
1902   MATOP_CHOLESKY_FACTOR_SYMBOLIC = 27,
1903   MATOP_CHOLESKY_FACTOR_NUMERIC  = 28,
1904   MATOP_SETUP                    = 29,
1905   MATOP_ILUFACTOR_SYMBOLIC       = 30,
1906   MATOP_ICCFACTOR_SYMBOLIC       = 31,
1907   MATOP_GET_DIAGONAL_BLOCK       = 32,
1908   MATOP_SET_INF                  = 33,
1909   MATOP_DUPLICATE                = 34,
1910   MATOP_FORWARD_SOLVE            = 35,
1911   MATOP_BACKWARD_SOLVE           = 36,
1912   MATOP_ILUFACTOR                = 37,
1913   MATOP_ICCFACTOR                = 38,
1914   MATOP_AXPY                     = 39,
1915   MATOP_CREATE_SUBMATRICES       = 40,
1916   MATOP_INCREASE_OVERLAP         = 41,
1917   MATOP_GET_VALUES               = 42,
1918   MATOP_COPY                     = 43,
1919   MATOP_GET_ROW_MAX              = 44,
1920   MATOP_SCALE                    = 45,
1921   MATOP_SHIFT                    = 46,
1922   MATOP_DIAGONAL_SET             = 47,
1923   MATOP_ZERO_ROWS_COLUMNS        = 48,
1924   MATOP_SET_RANDOM               = 49,
1925   MATOP_GET_ROW_IJ               = 50,
1926   MATOP_RESTORE_ROW_IJ           = 51,
1927   MATOP_GET_COLUMN_IJ            = 52,
1928   MATOP_RESTORE_COLUMN_IJ        = 53,
1929   MATOP_FDCOLORING_CREATE        = 54,
1930   MATOP_COLORING_PATCH           = 55,
1931   MATOP_SET_UNFACTORED           = 56,
1932   MATOP_PERMUTE                  = 57,
1933   MATOP_SET_VALUES_BLOCKED       = 58,
1934   MATOP_CREATE_SUBMATRIX         = 59,
1935   MATOP_DESTROY                  = 60,
1936   MATOP_VIEW                     = 61,
1937   MATOP_CONVERT_FROM             = 62,
1938   /* MATOP_PLACEHOLDER_63=63 */
1939   MATOP_MATMAT_MULT_SYMBOLIC    = 64,
1940   MATOP_MATMAT_MULT_NUMERIC     = 65,
1941   MATOP_SET_LOCAL_TO_GLOBAL_MAP = 66,
1942   MATOP_SET_VALUES_LOCAL        = 67,
1943   MATOP_ZERO_ROWS_LOCAL         = 68,
1944   MATOP_GET_ROW_MAX_ABS         = 69,
1945   MATOP_GET_ROW_MIN_ABS         = 70,
1946   MATOP_CONVERT                 = 71,
1947   MATOP_HAS_OPERATION           = 72,
1948   /* MATOP_PLACEHOLDER_73=73, */
1949   MATOP_SET_VALUES_ADIFOR = 74,
1950   MATOP_FD_COLORING_APPLY = 75,
1951   MATOP_SET_FROM_OPTIONS  = 76,
1952   /* MATOP_PLACEHOLDER_77=77, */
1953   /* MATOP_PLACEHOLDER_78=78, */
1954   MATOP_FIND_ZERO_DIAGONALS       = 79,
1955   MATOP_MULT_MULTIPLE             = 80,
1956   MATOP_SOLVE_MULTIPLE            = 81,
1957   MATOP_GET_INERTIA               = 82,
1958   MATOP_LOAD                      = 83,
1959   MATOP_IS_SYMMETRIC              = 84,
1960   MATOP_IS_HERMITIAN              = 85,
1961   MATOP_IS_STRUCTURALLY_SYMMETRIC = 86,
1962   MATOP_SET_VALUES_BLOCKEDLOCAL   = 87,
1963   MATOP_CREATE_VECS               = 88,
1964   /* MATOP_PLACEHOLDER_89=89, */
1965   MATOP_MAT_MULT_SYMBOLIC = 90,
1966   MATOP_MAT_MULT_NUMERIC  = 91,
1967   /* MATOP_PLACEHOLDER_92=92, */
1968   MATOP_PTAP_SYMBOLIC = 93,
1969   MATOP_PTAP_NUMERIC  = 94,
1970   /* MATOP_PLACEHOLDER_95=95, */
1971   MATOP_MAT_TRANSPOSE_MULT_SYMBO = 96,
1972   MATOP_MAT_TRANSPOSE_MULT_NUMER = 97,
1973   MATOP_BIND_TO_CPU              = 98,
1974   MATOP_PRODUCTSETFROMOPTIONS    = 99,
1975   MATOP_PRODUCTSYMBOLIC          = 100,
1976   MATOP_PRODUCTNUMERIC           = 101,
1977   MATOP_CONJUGATE                = 102,
1978   MATOP_VIEW_NATIVE              = 103,
1979   MATOP_SET_VALUES_ROW           = 104,
1980   MATOP_REAL_PART                = 105,
1981   MATOP_IMAGINARY_PART           = 106,
1982   MATOP_GET_ROW_UPPER_TRIANGULAR = 107,
1983   MATOP_RESTORE_ROW_UPPER_TRIANG = 108,
1984   MATOP_MAT_SOLVE                = 109,
1985   MATOP_MAT_SOLVE_TRANSPOSE      = 110,
1986   MATOP_GET_ROW_MIN              = 111,
1987   MATOP_GET_COLUMN_VECTOR        = 112,
1988   MATOP_MISSING_DIAGONAL         = 113,
1989   MATOP_GET_SEQ_NONZERO_STRUCTUR = 114,
1990   MATOP_CREATE                   = 115,
1991   MATOP_GET_GHOSTS               = 116,
1992   MATOP_GET_LOCAL_SUB_MATRIX     = 117,
1993   MATOP_RESTORE_LOCALSUB_MATRIX  = 118,
1994   MATOP_MULT_DIAGONAL_BLOCK      = 119,
1995   MATOP_HERMITIAN_TRANSPOSE      = 120,
1996   MATOP_MULT_HERMITIAN_TRANSPOSE = 121,
1997   MATOP_MULT_HERMITIAN_TRANS_ADD = 122,
1998   MATOP_GET_MULTI_PROC_BLOCK     = 123,
1999   MATOP_FIND_NONZERO_ROWS        = 124,
2000   MATOP_GET_COLUMN_NORMS         = 125,
2001   MATOP_INVERT_BLOCK_DIAGONAL    = 126,
2002   MATOP_INVERT_VBLOCK_DIAGONAL   = 127,
2003   MATOP_CREATE_SUB_MATRICES_MPI  = 128,
2004   MATOP_SET_VALUES_BATCH         = 129,
2005   /* MATOP_PLACEHOLDER_130=130, */
2006   MATOP_TRANSPOSE_MAT_MULT_SYMBO = 131,
2007   MATOP_TRANSPOSE_MAT_MULT_NUMER = 132,
2008   MATOP_TRANSPOSE_COLORING_CREAT = 133,
2009   MATOP_TRANS_COLORING_APPLY_SPT = 134,
2010   MATOP_TRANS_COLORING_APPLY_DEN = 135,
2011   /* MATOP_PLACEHOLDER_136=136, */
2012   MATOP_RART_SYMBOLIC         = 137,
2013   MATOP_RART_NUMERIC          = 138,
2014   MATOP_SET_BLOCK_SIZES       = 139,
2015   MATOP_AYPX                  = 140,
2016   MATOP_RESIDUAL              = 141,
2017   MATOP_FDCOLORING_SETUP      = 142,
2018   MATOP_FIND_OFFBLOCK_ENTRIES = 143,
2019   MATOP_MPICONCATENATESEQ     = 144,
2020   MATOP_DESTROYSUBMATRICES    = 145,
2021   MATOP_TRANSPOSE_SOLVE       = 146,
2022   MATOP_GET_VALUES_LOCAL      = 147
2023 } MatOperation;
2024 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, void (*)(void));
2025 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, void (**)(void));
2026 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
2027 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
2028 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatProductClear()", ) static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
2029 {
2030   return MatProductClear(A);
2031 }
2032 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, void (*)(void));
2033 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, void (**)(void));
2034 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, void *);
2035 PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscErrorCode (*)(void *));
2036 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
2037 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2038 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2039 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
2040 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscErrorCode (*)(void *), MatType, MatType);
2041 PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);
2042 
2043 /*
2044    Codes for matrices stored on disk. By default they are
2045    stored in a universal format. By changing the format with
2046    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
2047    be stored in a way natural for the matrix, for example dense matrices
2048    would be stored as dense. Matrices stored this way may only be
2049    read into matrices of the same type.
2050 */
2051 #define MATRIX_BINARY_FORMAT_DENSE -1
2052 
2053 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);
2054 
2055 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
2056 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
2057 PETSC_EXTERN PetscErrorCode MatISSetAllowRepeated(Mat, PetscBool);
2058 PETSC_EXTERN PetscErrorCode MatISGetAllowRepeated(Mat, PetscBool *);
2059 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
2060 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
2061 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
2062 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
2063 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
2064 PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
2065 
2066 /*S
2067    MatNullSpace - Object that removes a null space from a vector, i.e.
2068                   orthogonalizes the vector to a subspace
2069 
2070    Level: advanced
2071 
2072 .seealso: [](ch_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2073 S*/
2074 typedef struct _p_MatNullSpace *MatNullSpace;
2075 
2076 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
2077 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, PetscErrorCode (*)(MatNullSpace, Vec, void *), void *);
2078 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
2079 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
2080 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
2081 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
2082 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
2083 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
2084 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
2085 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
2086 PETSC_EXTERN PetscErrorCode MatGetNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2087 PETSC_EXTERN PetscErrorCode MatRestoreNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2088 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
2089 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
2090 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
2091 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);
2092 
2093 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
2094 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
2095 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);
2096 
2097 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
2098 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
2099 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);
2100 
2101 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
2102 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);
2103 
2104 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperator()", ) static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
2105 {
2106   return MatComputeOperator(A, PETSC_NULLPTR, B);
2107 }
2108 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperatorTranspose()", ) static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
2109 {
2110   return MatComputeOperatorTranspose(A, PETSC_NULLPTR, B);
2111 }
2112 
2113 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
2114 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
2115 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
2116 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2117 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
2118 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
2119 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
2120 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2121 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
2122 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
2123 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
2124 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
2125 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
2126 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);
2127 
2128 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);
2129 
2130 PETSC_EXTERN PetscErrorCode MatMFFDInitializePackage(void);
2131 PETSC_EXTERN PetscErrorCode MatMFFDFinalizePackage(void);
2132 
2133 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2134 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
2135 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, PetscErrorCode (*)(void *, Vec, Vec), void *);
2136 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, PetscErrorCode (*)(void *, PetscInt, Vec, PetscScalar *));
2137 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, PetscErrorCode (*)(void *, Vec));
2138 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
2139 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
2140 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
2141 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
2142 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
2143 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
2144 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
2145 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, PetscErrorCode (*)(void *, Vec, Vec, PetscScalar *), void *);
2146 
2147 /*S
2148     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2149               Jacobian vector products
2150 
2151     Level: developer
2152 
2153     Notes:
2154     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure
2155 
2156      MatMFFD*() methods actually take the `Mat` as their first argument. Not a `MatMFFD` data structure
2157 
2158     This functionality is often obtained using `MatCreateSNESMF()` or with `SNES` solvers using `-snes_mf` or `-snes_mf_operator`
2159 
2160 .seealso: [](ch_matrices), `MatMFFDType`, `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`,
2161           `MatCreateSNESMF()`, `SNES`, `-snes_mf`, `-snes_mf_operator`
2162 S*/
2163 typedef struct _p_MatMFFD *MatMFFD;
2164 
2165 /*J
2166    MatMFFDType - algorithm used to compute the `h` used in computing matrix-vector products via differencing of a function
2167 
2168    Values:
2169 +   `MATMFFD_DS` - an algorithm described by Dennis and Schnabel {cite}`dennis:83`
2170 -   `MATMFFD_WP` - the Walker-Pernice {cite}`pw98` strategy.
2171 
2172    Level: beginner
2173 
2174 .seealso: [](ch_matrices), `MatMFFDSetType()`, `MatMFFDRegister()`, `MatMFFDSetFunction()`, `MatCreateMFFD()`
2175 J*/
2176 typedef const char *MatMFFDType;
2177 #define MATMFFD_DS "ds"
2178 #define MATMFFD_WP "wp"
2179 
2180 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2181 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));
2182 
2183 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2184 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);
2185 
2186 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);
2187 
2188 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2189 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
2190 
2191 #ifdef PETSC_HAVE_H2OPUS
2192 PETSC_EXTERN_TYPEDEF typedef PetscScalar(MatH2OpusKernelFn)(PetscInt, PetscReal[], PetscReal[], void *);
2193 PETSC_EXTERN_TYPEDEF typedef MatH2OpusKernelFn *MatH2OpusKernel;
2194 PETSC_EXTERN PetscErrorCode                     MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernelFn *, void *, PetscReal, PetscInt, PetscInt, Mat *);
2195 PETSC_EXTERN PetscErrorCode                     MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2196 PETSC_EXTERN PetscErrorCode                     MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2197 PETSC_EXTERN PetscErrorCode                     MatH2OpusOrthogonalize(Mat);
2198 PETSC_EXTERN PetscErrorCode                     MatH2OpusCompress(Mat, PetscReal);
2199 PETSC_EXTERN PetscErrorCode                     MatH2OpusSetNativeMult(Mat, PetscBool);
2200 PETSC_EXTERN PetscErrorCode                     MatH2OpusGetNativeMult(Mat, PetscBool *);
2201 PETSC_EXTERN PetscErrorCode                     MatH2OpusGetIndexMap(Mat, IS *);
2202 PETSC_EXTERN PetscErrorCode                     MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2203 PETSC_EXTERN PetscErrorCode                     MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2204 #endif
2205 
2206 #ifdef PETSC_HAVE_HTOOL
2207 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(MatHtoolKernelFn)(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2208 PETSC_EXTERN_TYPEDEF typedef MatHtoolKernelFn *MatHtoolKernel;
2209 PETSC_EXTERN PetscErrorCode                    MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernelFn *, void *, Mat *);
2210 PETSC_EXTERN PetscErrorCode                    MatHtoolSetKernel(Mat, MatHtoolKernelFn *, void *);
2211 PETSC_EXTERN PetscErrorCode                    MatHtoolGetPermutationSource(Mat, IS *);
2212 PETSC_EXTERN PetscErrorCode                    MatHtoolGetPermutationTarget(Mat, IS *);
2213 PETSC_EXTERN PetscErrorCode                    MatHtoolUsePermutation(Mat, PetscBool);
2214 
2215 /*E
2216    MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`
2217 
2218    Values:
2219 +  `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2220 .  `MAT_HTOOL_COMPRESSOR_FULL_ACA`                 - full adaptive cross approximation
2221 -  `MAT_HTOOL_COMPRESSOR_SVD`                      - singular value decomposition
2222 
2223    Level: intermediate
2224 
2225 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2226 E*/
2227 typedef enum {
2228   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2229   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2230   MAT_HTOOL_COMPRESSOR_SVD
2231 } MatHtoolCompressorType;
2232 
2233 /*E
2234    MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`
2235 
2236    Values:
2237 +  `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default)    - axis computed via principle component analysis, split uniformly
2238 .  `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC`            - axis computed via principle component analysis, split barycentrically
2239 .  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR`   - axis along the largest extent of the bounding box, split uniformly
2240 -  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically
2241 
2242    Level: intermediate
2243 
2244    Note:
2245    Higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
2246 
2247 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2248 E*/
2249 typedef enum {
2250   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2251   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2252   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2253   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2254 } MatHtoolClusteringType;
2255 #endif
2256 
2257 #ifdef PETSC_HAVE_MUMPS
2258 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2259 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2260 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2261 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);
2262 
2263 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2264 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2265 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2266 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2267 PETSC_EXTERN PetscErrorCode MatMumpsGetNullPivots(Mat, PetscInt *, PetscInt **);
2268 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2269 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2270 #endif
2271 
2272 #ifdef PETSC_HAVE_MKL_PARDISO
2273 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2274 #endif
2275 
2276 #ifdef PETSC_HAVE_MKL_CPARDISO
2277 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2278 #endif
2279 
2280 #ifdef PETSC_HAVE_SUPERLU
2281 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2282 #endif
2283 
2284 #ifdef PETSC_HAVE_SUPERLU_DIST
2285 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2286 #endif
2287 
2288 #ifdef PETSC_HAVE_STRUMPACK
2289 /*E
2290     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `MATSOLVERSTRUMPACK`
2291 
2292     Values:
2293 +  `MAT_STRUMPACK_NATURAL`   - use the current ordering
2294 .  `MAT_STRUMPACK_METIS`     - use MeTis to compute an ordering
2295 .  `MAT_STRUMPACK_PARMETIS`  - use ParMeTis to compute an ordering
2296 .  `MAT_STRUMPACK_SCOTCH`    - use Scotch to compute an ordering
2297 .  `MAT_STRUMPACK_PTSCOTCH`  - use parallel Scotch to compute an ordering
2298 .  `MAT_STRUMPACK_RCM`       - use an RCM ordering
2299 .  `MAT_STRUMPACK_GEOMETRIC` - use a geometric ordering (needs mesh info from user)
2300 .  `MAT_STRUMPACK_AMD`       - approximate minimum degree
2301 .  `MAT_STRUMPACK_MMD`       - multiple minimum degree
2302 .  `MAT_STRUMPACK_AND`       - approximate nested dissection
2303 .  `MAT_STRUMPACK_MLF`       - minimum local fill
2304 -  `MAT_STRUMPACK_SPECTRAL`  - spectral nested dissection
2305 
2306     Level: intermediate
2307 
2308     Developer Note:
2309     Should be called `MatSTRUMPACKReorderingType`
2310 
2311 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetReordering()`
2312 E*/
2313 typedef enum {
2314   MAT_STRUMPACK_NATURAL,
2315   MAT_STRUMPACK_METIS,
2316   MAT_STRUMPACK_PARMETIS,
2317   MAT_STRUMPACK_SCOTCH,
2318   MAT_STRUMPACK_PTSCOTCH,
2319   MAT_STRUMPACK_RCM,
2320   MAT_STRUMPACK_GEOMETRIC,
2321   MAT_STRUMPACK_AMD,
2322   MAT_STRUMPACK_MMD,
2323   MAT_STRUMPACK_AND,
2324   MAT_STRUMPACK_MLF,
2325   MAT_STRUMPACK_SPECTRAL
2326 } MatSTRUMPACKReordering;
2327 
2328 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2329 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetReordering(Mat, MatSTRUMPACKReordering *);
2330 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricNxyz(Mat, PetscInt, PetscInt, PetscInt);
2331 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricComponents(Mat, PetscInt);
2332 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricWidth(Mat, PetscInt);
2333 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2334 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetColPerm(Mat, PetscBool *);
2335 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGPU(Mat, PetscBool);
2336 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetGPU(Mat, PetscBool *);
2337 
2338 /*E
2339     MatSTRUMPACKCompressionType - Compression used in the approximate sparse factorization solver `MATSOLVERSTRUMPACK`
2340 
2341     Values:
2342 +  `MAT_STRUMPACK_COMPRESSION_TYPE_NONE`          - no compression, direct solver
2343 .  `MAT_STRUMPACK_COMPRESSION_TYPE_HSS`           - hierarchically semi-separable
2344 .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR`           - block low rank
2345 .  `MAT_STRUMPACK_COMPRESSION_TYPE_HODLR`         - hierarchically off-diagonal low rank (requires ButterfyPACK support, configure with --download-butterflypack)
2346 .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR`     - hybrid of BLR and HODLR (requires ButterfyPACK support, configure with --download-butterflypack)
2347 .  `MAT_STRUMPACK_COMPRESSION_TYPE_ZFP_BLR_HODLR` - hybrid of lossy (ZFP), BLR and HODLR (requires ButterfyPACK and ZFP support, configure with --download-butterflypack --download-zfp)
2348 .  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS`      - lossless compression (requires ZFP support, configure with --download-zfp)
2349 -  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY`         - lossy compression (requires ZFP support, configure with --download-zfp)
2350 
2351     Level: intermediate
2352 
2353 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetCompression()`
2354 E*/
2355 typedef enum {
2356   MAT_STRUMPACK_COMPRESSION_TYPE_NONE,
2357   MAT_STRUMPACK_COMPRESSION_TYPE_HSS,
2358   MAT_STRUMPACK_COMPRESSION_TYPE_BLR,
2359   MAT_STRUMPACK_COMPRESSION_TYPE_HODLR,
2360   MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR,
2361   MAT_STRUMPACK_COMPRESSION_TYPE_ZFP_BLR_HODLR,
2362   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS,
2363   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY
2364 } MatSTRUMPACKCompressionType;
2365 
2366 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompression(Mat, MatSTRUMPACKCompressionType);
2367 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompression(Mat, MatSTRUMPACKCompressionType *);
2368 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompRelTol(Mat, PetscReal);
2369 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompRelTol(Mat, PetscReal *);
2370 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompAbsTol(Mat, PetscReal);
2371 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompAbsTol(Mat, PetscReal *);
2372 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompMinSepSize(Mat, PetscInt);
2373 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompMinSepSize(Mat, PetscInt *);
2374 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLeafSize(Mat, PetscInt);
2375 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLeafSize(Mat, PetscInt *);
2376 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLossyPrecision(Mat, PetscInt);
2377 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLossyPrecision(Mat, PetscInt *);
2378 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompButterflyLevels(Mat, PetscInt);
2379 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompButterflyLevels(Mat, PetscInt *);
2380 #endif
2381 
2382 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2383 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2384 PETSC_DEPRECATED_FUNCTION(3, 13, 0, "MatBindToCPU()", ) static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2385 {
2386   return MatBindToCPU(A, flg);
2387 }
2388 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2389 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);
2390 
2391 #ifdef PETSC_HAVE_CUDA
2392 /*E
2393     MatCUSPARSEStorageFormat - indicates the storage format for `MATAIJCUSPARSE` (GPU)
2394     matrices.
2395 
2396     Values:
2397 +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2398 .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2399 -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2400 
2401     Level: intermediate
2402 
2403 .seealso: [](ch_matrices), `MATAIJCUSPARSE`, `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2404 E*/
2405 
2406 typedef enum {
2407   MAT_CUSPARSE_CSR,
2408   MAT_CUSPARSE_ELL,
2409   MAT_CUSPARSE_HYB
2410 } MatCUSPARSEStorageFormat;
2411 
2412 /* these will be strings associated with enumerated type defined above */
2413 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2414 
2415 /*E
2416     MatCUSPARSEFormatOperation - indicates the operation of `MATAIJCUSPARSE` (GPU)
2417     matrices whose operation should use a particular storage format.
2418 
2419     Values:
2420 +   `MAT_CUSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2421 .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2422 .   `MAT_CUSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2423 -   `MAT_CUSPARSE_ALL`          - sets the storage format for all `MATAIJCUSPARSE` (GPU) matrices
2424 
2425     Level: intermediate
2426 
2427 .seealso: [](ch_matrices), `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2428 E*/
2429 typedef enum {
2430   MAT_CUSPARSE_MULT_DIAG,
2431   MAT_CUSPARSE_MULT_OFFDIAG,
2432   MAT_CUSPARSE_MULT,
2433   MAT_CUSPARSE_ALL
2434 } MatCUSPARSEFormatOperation;
2435 
2436 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2437 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2438 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2439 PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2440 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2441 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2442 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2443 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2444 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2445 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2446 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2447 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);
2448 
2449 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2450 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2451 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2452 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2453 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2454 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2455 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2456 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2457 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2458 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2459 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2460 PETSC_EXTERN PetscErrorCode MatDenseCUDASetPreallocation(Mat, PetscScalar *);
2461 
2462 PETSC_EXTERN PetscErrorCode MatCreateSeqSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2463 PETSC_EXTERN PetscErrorCode MatCreateSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2464 #endif
2465 
2466 #ifdef PETSC_HAVE_HIP
2467 /*E
2468     MatHIPSPARSEStorageFormat - indicates the storage format for `MATAIJHIPSPARSE` (GPU)
2469     matrices.
2470 
2471     Values:
2472 +   `MAT_HIPSPARSE_CSR` - Compressed Sparse Row
2473 .   `MAT_HIPSPARSE_ELL` - Ellpack
2474 -   `MAT_HIPSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format
2475 
2476     Level: intermediate
2477 
2478 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
2479 E*/
2480 
2481 typedef enum {
2482   MAT_HIPSPARSE_CSR,
2483   MAT_HIPSPARSE_ELL,
2484   MAT_HIPSPARSE_HYB
2485 } MatHIPSPARSEStorageFormat;
2486 
2487 /* these will be strings associated with enumerated type defined above */
2488 PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];
2489 
2490 /*E
2491     MatHIPSPARSEFormatOperation - indicates the operation of `MATAIJHIPSPARSE` (GPU)
2492     matrices whose operation should use a particular storage format.
2493 
2494     Values:
2495 +   `MAT_HIPSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2496 .   `MAT_HIPSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2497 .   `MAT_HIPSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2498 -   `MAT_HIPSPARSE_ALL`          - sets the storage format for all HIPSPARSE (GPU) matrices
2499 
2500     Level: intermediate
2501 
2502 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
2503 E*/
2504 typedef enum {
2505   MAT_HIPSPARSE_MULT_DIAG,
2506   MAT_HIPSPARSE_MULT_OFFDIAG,
2507   MAT_HIPSPARSE_MULT,
2508   MAT_HIPSPARSE_ALL
2509 } MatHIPSPARSEFormatOperation;
2510 
2511 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2512 PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2513 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
2514 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
2515 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2516 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2517 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
2518 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
2519 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
2520 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
2521 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
2522 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);
2523 
2524 PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2525 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2526 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
2527 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
2528 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
2529 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
2530 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
2531 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
2532 PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
2533 PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
2534 PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);
2535 PETSC_EXTERN PetscErrorCode MatDenseHIPSetPreallocation(Mat, PetscScalar *);
2536 #endif
2537 
2538 #if defined(PETSC_HAVE_VIENNACL)
2539 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2540 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2541 #endif
2542 
2543 #if PetscDefined(HAVE_KOKKOS)
2544 PETSC_EXTERN PetscErrorCode MatCreateAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2545 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2546 #endif
2547 
2548 #if defined(PETSC_HAVE_FFTW)
2549 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2550 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2551 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2552 #endif
2553 
2554 #if defined(PETSC_HAVE_SCALAPACK)
2555 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2556 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2557 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2558 #endif
2559 
2560 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2561 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2562 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2563 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2564 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2565 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2566 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2567 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2568 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);
2569 
2570 PETSC_EXTERN PetscErrorCode MatFilter(Mat, PetscReal, PetscBool, PetscBool);
2571 PETSC_DEPRECATED_FUNCTION(3, 20, 0, "MatFilter()", ) static inline PetscErrorCode MatChop(Mat A, PetscReal tol)
2572 {
2573   return MatFilter(A, tol, PETSC_FALSE, PETSC_FALSE);
2574 }
2575 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);
2576 
2577 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);
2578 
2579 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);
2580 
2581 PETSC_EXTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2582 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);
2583 
2584 PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);
2585 
2586 PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, PetscInt, PetscInt[], Mat *);
2587 PETSC_EXTERN PetscErrorCode MatEliminateZeros(Mat, PetscBool);
2588 
2589 PETSC_EXTERN PetscErrorCode MatCreateDenseFromVecType(MPI_Comm, VecType, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar *, Mat *);
2590 
2591 PETSC_EXTERN PetscErrorCode MatSetHPL(Mat, int);
2592 #define PETSCBMHPL "hpl"
2593