xref: /petsc/include/petscmat.h (revision 49abdd8a111d9c2ef7fc48ade253ef64e07f9b37)
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 MATSELLHIP                   "sellhip"
123 #define MATSEQSELLHIP                "seqsellhip"
124 #define MATMPISELLHIP                "mpisellhip"
125 #define MATDUMMY                     "dummy"
126 #define MATLMVM                      "lmvm"
127 #define MATLMVMDFP                   "lmvmdfp"
128 #define MATLMVMDDFP                  "lmvmddfp"
129 #define MATLMVMBFGS                  "lmvmbfgs"
130 #define MATLMVMDBFGS                 "lmvmdbfgs"
131 #define MATLMVMDQN                   "lmvmdqn"
132 #define MATLMVMSR1                   "lmvmsr1"
133 #define MATLMVMBROYDEN               "lmvmbroyden"
134 #define MATLMVMBADBROYDEN            "lmvmbadbroyden"
135 #define MATLMVMSYMBROYDEN            "lmvmsymbroyden"
136 #define MATLMVMSYMBADBROYDEN         "lmvmsymbadbroyden"
137 #define MATLMVMDIAGBROYDEN           "lmvmdiagbroyden"
138 #define MATCONSTANTDIAGONAL          "constantdiagonal"
139 #define MATDIAGONAL                  "diagonal"
140 #define MATHTOOL                     "htool"
141 #define MATH2OPUS                    "h2opus"
142 
143 /*J
144    MatSolverType - String with the name of a PETSc factorization-based matrix solver type.
145 
146    For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
147 
148    Level: beginner
149 
150    Note:
151    `MATSOLVERUMFPACK`, `MATSOLVERCHOLMOD`, `MATSOLVERKLU`, `MATSOLVERSPQR` form the SuiteSparse package; you can use `--download-suitesparse` as
152    a ./configure option to install them
153 
154 .seealso: [](sec_matfactor), [](ch_matrices), `MatGetFactor()`, `PCFactorSetMatSolverType()`, `PCFactorGetMatSolverType()`
155 J*/
156 typedef const char *MatSolverType;
157 #define MATSOLVERSUPERLU      "superlu"
158 #define MATSOLVERSUPERLU_DIST "superlu_dist"
159 #define MATSOLVERSTRUMPACK    "strumpack"
160 #define MATSOLVERUMFPACK      "umfpack"
161 #define MATSOLVERCHOLMOD      "cholmod"
162 #define MATSOLVERKLU          "klu"
163 #define MATSOLVERELEMENTAL    "elemental"
164 #define MATSOLVERSCALAPACK    "scalapack"
165 #define MATSOLVERESSL         "essl"
166 #define MATSOLVERLUSOL        "lusol"
167 #define MATSOLVERMUMPS        "mumps"
168 #define MATSOLVERMKL_PARDISO  "mkl_pardiso"
169 #define MATSOLVERMKL_CPARDISO "mkl_cpardiso"
170 #define MATSOLVERPASTIX       "pastix"
171 #define MATSOLVERMATLAB       "matlab"
172 #define MATSOLVERPETSC        "petsc"
173 #define MATSOLVERBAS          "bas"
174 #define MATSOLVERCUSPARSE     "cusparse"
175 #define MATSOLVERCUDA         "cuda"
176 #define MATSOLVERHIPSPARSE    "hipsparse"
177 #define MATSOLVERHIP          "hip"
178 #define MATSOLVERKOKKOS       "kokkos"
179 #define MATSOLVERSPQR         "spqr"
180 #define MATSOLVERHTOOL        "htool"
181 
182 /*E
183     MatFactorType - indicates what type of factorization is requested
184 
185     Values:
186 +  `MAT_FACTOR_LU`       - LU factorization
187 .  `MAT_FACTOR_CHOLESKY` - Cholesky factorization
188 .  `MAT_FACTOR_ILU`      - ILU factorization
189 .  `MAT_FACTOR_ICC`      - incomplete Cholesky factorization
190 .  `MAT_FACTOR_ILUDT`    - ILU factorization with drop tolerance
191 -  `MAT_FACTOR_QR`       - QR factorization
192 
193     Level: beginner
194 
195 .seealso: [](ch_matrices), `MatSolverType`, `MatGetFactor()`, `MatGetFactorAvailable()`, `MatSolverTypeRegister()`
196 E*/
197 typedef enum {
198   MAT_FACTOR_NONE,
199   MAT_FACTOR_LU,
200   MAT_FACTOR_CHOLESKY,
201   MAT_FACTOR_ILU,
202   MAT_FACTOR_ICC,
203   MAT_FACTOR_ILUDT,
204   MAT_FACTOR_QR,
205   MAT_FACTOR_NUM_TYPES
206 } MatFactorType;
207 PETSC_EXTERN const char *const MatFactorTypes[];
208 
209 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat, MatSolverType, MatFactorType, Mat *);
210 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat, MatSolverType, MatFactorType, PetscBool *);
211 PETSC_EXTERN PetscErrorCode MatFactorGetCanUseOrdering(Mat, PetscBool *);
212 PETSC_DEPRECATED_FUNCTION(3, 15, 0, "MatFactorGetCanUseOrdering()", ) static inline PetscErrorCode MatFactorGetUseOrdering(Mat A, PetscBool *b)
213 {
214   return MatFactorGetCanUseOrdering(A, b);
215 }
216 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat, MatSolverType *);
217 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat, MatFactorType *);
218 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat, MatFactorType);
219 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(MatSolverFn)(Mat, MatFactorType, Mat *);
220 PETSC_EXTERN_TYPEDEF typedef MatSolverFn *MatSolverFunction;
221 
222 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType, MatType, MatFactorType, MatSolverFn *);
223 PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType, MatType, MatFactorType, PetscBool *, PetscBool *, MatSolverFn **);
224 typedef MatSolverType       MatSolverPackage PETSC_DEPRECATED_TYPEDEF(3, 9, 0, "MatSolverType", );
225 PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSolverTypeRegister()", ) static inline PetscErrorCode MatSolverPackageRegister(MatSolverType stype, MatType mtype, MatFactorType ftype, MatSolverFn *f)
226 {
227   return MatSolverTypeRegister(stype, mtype, ftype, f);
228 }
229 PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSolverTypeGet()", ) static inline PetscErrorCode MatSolverPackageGet(MatSolverType stype, MatType mtype, MatFactorType ftype, PetscBool *foundmtype, PetscBool *foundstype, MatSolverFn **f)
230 {
231   return MatSolverTypeGet(stype, mtype, ftype, foundmtype, foundstype, f);
232 }
233 
234 /*E
235     MatProductType - indicates what type of matrix product to compute
236 
237     Values:
238 +  `MATPRODUCT_AB`   - product of two matrices
239 .  `MATPRODUCT_AtB`  - product of the transpose of a given matrix with a matrix
240 .  `MATPRODUCT_ABt`  - product of a matrix with the transpose of another given matrix
241 .  `MATPRODUCT_PtAP` - the triple product of the transpose of a matrix with another matrix and itself
242 .  `MATPRODUCT_RARt` - the triple product of a matrix, another matrix and the transpose of the first matrix
243 -  `MATPRODUCT_ABC`  - the product of three matrices
244 
245     Level: beginner
246 
247 .seealso: [](sec_matmatproduct), [](ch_matrices), `MatProductSetType()`
248 E*/
249 typedef enum {
250   MATPRODUCT_UNSPECIFIED = 0,
251   MATPRODUCT_AB,
252   MATPRODUCT_AtB,
253   MATPRODUCT_ABt,
254   MATPRODUCT_PtAP,
255   MATPRODUCT_RARt,
256   MATPRODUCT_ABC
257 } MatProductType;
258 PETSC_EXTERN const char *const MatProductTypes[];
259 
260 /*J
261     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
262 
263    Level: beginner
264 
265 .seealso: [](sec_matmatproduct), [](ch_matrices), `MatSetType()`, `Mat`, `MatProductSetAlgorithm()`, `MatProductType`
266 J*/
267 typedef const char *MatProductAlgorithm;
268 #define MATPRODUCTALGORITHMDEFAULT         "default"
269 #define MATPRODUCTALGORITHMSORTED          "sorted"
270 #define MATPRODUCTALGORITHMSCALABLE        "scalable"
271 #define MATPRODUCTALGORITHMSCALABLEFAST    "scalable_fast"
272 #define MATPRODUCTALGORITHMHEAP            "heap"
273 #define MATPRODUCTALGORITHMBHEAP           "btheap"
274 #define MATPRODUCTALGORITHMLLCONDENSED     "llcondensed"
275 #define MATPRODUCTALGORITHMROWMERGE        "rowmerge"
276 #define MATPRODUCTALGORITHMOUTERPRODUCT    "outerproduct"
277 #define MATPRODUCTALGORITHMATB             "at*b"
278 #define MATPRODUCTALGORITHMRAP             "rap"
279 #define MATPRODUCTALGORITHMNONSCALABLE     "nonscalable"
280 #define MATPRODUCTALGORITHMSEQMPI          "seqmpi"
281 #define MATPRODUCTALGORITHMBACKEND         "backend"
282 #define MATPRODUCTALGORITHMOVERLAPPING     "overlapping"
283 #define MATPRODUCTALGORITHMMERGED          "merged"
284 #define MATPRODUCTALGORITHMALLATONCE       "allatonce"
285 #define MATPRODUCTALGORITHMALLATONCEMERGED "allatonce_merged"
286 #define MATPRODUCTALGORITHMALLGATHERV      "allgatherv"
287 #define MATPRODUCTALGORITHMCYCLIC          "cyclic"
288 #define MATPRODUCTALGORITHMHYPRE           "hypre"
289 
290 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat, Mat, Mat, Mat *);
291 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat, Mat, Mat, Mat);
292 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat, MatProductType);
293 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat, MatProductAlgorithm);
294 PETSC_EXTERN PetscErrorCode MatProductGetAlgorithm(Mat, MatProductAlgorithm *);
295 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat, PetscReal);
296 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
297 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
298 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
299 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat, Mat, Mat, Mat);
300 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
301 PETSC_EXTERN PetscErrorCode MatProductView(Mat, PetscViewer);
302 PETSC_EXTERN PetscErrorCode MatProductGetType(Mat, MatProductType *);
303 PETSC_EXTERN PetscErrorCode MatProductGetMats(Mat, Mat *, Mat *, Mat *);
304 
305 /* Logging support */
306 #define MAT_FILE_CLASSID 1211216 /* used to indicate matrices in binary files */
307 PETSC_EXTERN PetscClassId MAT_CLASSID;
308 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
309 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
310 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
311 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
312 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
313 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
314 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
315 
316 /*E
317    MatReuse - Indicates if matrices obtained from a previous call to `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatConvert()` or several other functions
318    are to be reused to store the new matrix values.
319 
320    Values:
321 +  `MAT_INITIAL_MATRIX` - create a new matrix
322 .  `MAT_REUSE_MATRIX`   - reuse the matrix created with a previous call that used `MAT_INITIAL_MATRIX`
323 .  `MAT_INPLACE_MATRIX` - replace the first input matrix with the new matrix (not applicable to all functions)
324 -  `MAT_IGNORE_MATRIX`  - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
325 
326     Level: beginner
327 
328 .seealso: [](ch_matrices), `Mat`, `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatDestroyMatrices()`, `MatConvert()`
329 E*/
330 typedef enum {
331   MAT_INITIAL_MATRIX,
332   MAT_REUSE_MATRIX,
333   MAT_IGNORE_MATRIX,
334   MAT_INPLACE_MATRIX
335 } MatReuse;
336 
337 /*E
338     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to `MatCreateSubMatrices()`
339     include the matrix values. Currently it is only used by `MatGetSeqNonzeroStructure()`.
340 
341     Values:
342 +  `MAT_DO_NOT_GET_VALUES` - do not copy the matrix values
343 -  `MAT_GET_VALUES`        - copy the matrix values
344 
345     Level: developer
346 
347     Developer Note:
348     Why is not just a boolean used for this information?
349 
350 .seealso: [](ch_matrices), `Mat`, `MatDuplicateOption`, `PetscCopyMode`, `MatGetSeqNonzeroStructure()`
351 E*/
352 typedef enum {
353   MAT_DO_NOT_GET_VALUES,
354   MAT_GET_VALUES
355 } MatCreateSubMatrixOption;
356 
357 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
358 PETSC_EXTERN PetscErrorCode MatFinalizePackage(void);
359 
360 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm, Mat *);
361 PETSC_EXTERN PetscErrorCode MatCreateFromOptions(MPI_Comm, const char *, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
362 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat, PetscInt, PetscInt, PetscInt, PetscInt);
363 PETSC_EXTERN PetscErrorCode MatSetType(Mat, MatType);
364 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat, VecType *);
365 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat, VecType);
366 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
367 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat, PetscObject, const char[]);
368 PETSC_EXTERN PetscErrorCode MatRegister(const char[], PetscErrorCode (*)(Mat));
369 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[], const char[], const char[]);
370 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat, const char[]);
371 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefixFactor(Mat, const char[]);
372 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefixFactor(Mat, const char[]);
373 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat, const char[]);
374 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat, const char *[]);
375 PETSC_EXTERN PetscErrorCode MatGetState(Mat, PetscObjectState *);
376 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat, PetscBool);
377 
378 PETSC_EXTERN PetscFunctionList MatList;
379 PETSC_EXTERN PetscFunctionList MatColoringList;
380 PETSC_EXTERN PetscFunctionList MatPartitioningList;
381 
382 /*E
383    MatStructure - Indicates if two matrices have the same nonzero structure
384 
385    Values:
386 +  `SAME_NONZERO_PATTERN`      - the two matrices have identical nonzero patterns
387 .  `DIFFERENT_NONZERO_PATTERN` - the two matrices may have different nonzero patterns
388 .  `SUBSET_NONZERO_PATTERN`    - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
389 -  `UNKNOWN_NONZERO_PATTERN`   - there is no known relationship between the nonzero patterns. In this case the implementations
390                                  may try to detect a relationship to optimize the operation
391 
392    Level: beginner
393 
394    Note:
395    Certain matrix operations (such as `MatAXPY()`) can run much faster if the sparsity pattern of the matrices are the same. But actually determining if
396    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
397    to certain PETSc routines.
398 
399 .seealso: [](ch_matrices), `Mat`, `MatCopy()`, `MatAXPY()`, `MatAYPX()`
400 E*/
401 typedef enum {
402   DIFFERENT_NONZERO_PATTERN,
403   SUBSET_NONZERO_PATTERN,
404   SAME_NONZERO_PATTERN,
405   UNKNOWN_NONZERO_PATTERN
406 } MatStructure;
407 PETSC_EXTERN const char *const MatStructures[];
408 
409 #if defined PETSC_HAVE_MKL_SPARSE
410 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
411 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
412 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
413 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
414 #endif
415 
416 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJPERM(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
417 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJPERM(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
418 
419 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
420 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
421 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat, PetscInt, const PetscInt[]);
422 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
423 PETSC_EXTERN PetscErrorCode MatSeqSELLGetFillRatio(Mat, PetscReal *);
424 PETSC_EXTERN PetscErrorCode MatSeqSELLGetMaxSliceWidth(Mat, PetscInt *);
425 PETSC_EXTERN PetscErrorCode MatSeqSELLGetAvgSliceWidth(Mat, PetscReal *);
426 PETSC_EXTERN PetscErrorCode MatSeqSELLSetSliceHeight(Mat, PetscInt);
427 PETSC_EXTERN PetscErrorCode MatSeqSELLGetVarSliceSize(Mat, PetscReal *);
428 
429 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
430 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
431 PETSC_EXTERN PetscErrorCode MatMPISELLGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
432 PETSC_EXTERN PetscErrorCode MatMPISELLGetSeqSELL(Mat, Mat *, Mat *, const PetscInt *[]);
433 
434 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
435 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
436 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
437 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
438 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
439 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
440 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArray(Mat, const PetscScalar[]);
441 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], PetscInt[], PetscInt[], PetscScalar[], Mat *);
442 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm, Mat, Mat, const PetscInt[], Mat *);
443 
444 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
445 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
446 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
447 
448 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat, PetscCount, PetscInt[], PetscInt[]);
449 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat, PetscCount, PetscInt[], PetscInt[]);
450 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat, const PetscScalar[], InsertMode);
451 
452 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscInt[], Mat *);
453 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
454 
455 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
456 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
457 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
458 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
459 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], const PetscInt[]);
460 
461 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, void *, Mat *);
462 PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm, PetscInt, PetscInt, Mat *);
463 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat, Mat *);
464 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat, Mat *);
465 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat, Mat, Vec, Mat, Mat *);
466 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat, Mat *, Mat *, Vec *, Mat *);
467 PETSC_EXTERN PetscErrorCode MatLRCSetMats(Mat, Mat, Mat, Vec, Mat);
468 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, ISLocalToGlobalMapping, ISLocalToGlobalMapping, Mat *);
469 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
470 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
471 
472 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm, VecScatter, Mat *);
473 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat, VecScatter);
474 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat, VecScatter *);
475 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt *, Mat *);
476 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat, Mat);
477 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
478 typedef enum {
479   MAT_COMPOSITE_MERGE_RIGHT,
480   MAT_COMPOSITE_MERGE_LEFT
481 } MatCompositeMergeType;
482 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat, MatCompositeMergeType);
483 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm, PetscInt, const Mat *, Mat *);
484 /*E
485     MatCompositeType - indicates what type of `MATCOMPOSITE` is used
486 
487     Values:
488 +  `MAT_COMPOSITE_ADDITIVE`       - sum of matrices (default)
489 -  `MAT_COMPOSITE_MULTIPLICATIVE` - product of matrices
490 
491     Level: beginner
492 
493 .seealso: [](ch_matrices), `MATCOMPOSITE`, `MatCompositeSetType()`, `MatCompositeGetType()`
494 E*/
495 typedef enum {
496   MAT_COMPOSITE_ADDITIVE,
497   MAT_COMPOSITE_MULTIPLICATIVE
498 } MatCompositeType;
499 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat, MatCompositeType);
500 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat, MatCompositeType *);
501 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat, MatStructure);
502 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat, MatStructure *);
503 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat, PetscInt *);
504 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat, PetscInt, Mat *);
505 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat, const PetscScalar *);
506 
507 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm, PetscInt, const PetscInt[], MatType, Mat *);
508 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm, PetscInt, const PetscInt[], Mat *);
509 
510 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat, Mat *);
511 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat, Mat *);
512 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat, Mat *);
513 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat, Mat *);
514 PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat, Mat *);
515 PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat, Mat *);
516 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat, IS, IS, Mat *);
517 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat, Mat, IS, IS);
518 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat, IS, IS, Mat *);
519 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar, Mat *);
520 PETSC_EXTERN PetscErrorCode MatCreateDiagonal(Vec, Mat *);
521 PETSC_EXTERN PetscErrorCode MatDiagonalGetDiagonal(Mat, Vec *);
522 PETSC_EXTERN PetscErrorCode MatDiagonalRestoreDiagonal(Mat, Vec *);
523 PETSC_EXTERN PetscErrorCode MatDiagonalGetInverseDiagonal(Mat, Vec *);
524 PETSC_EXTERN PetscErrorCode MatDiagonalRestoreInverseDiagonal(Mat, Vec *);
525 
526 #if defined(PETSC_HAVE_HYPRE)
527 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
528 #endif
529 
530 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat, const char[]);
531 PETSC_EXTERN PetscErrorCode MatPythonGetType(Mat, const char *[]);
532 PETSC_EXTERN PetscErrorCode MatPythonCreate(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const char[], Mat *);
533 
534 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
535 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
536 PETSC_EXTERN PetscErrorCode MatDestroy(Mat *);
537 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat, PetscObjectState *);
538 
539 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
540 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
541 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
542 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat, Mat *);
543 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat, PetscScalar *);
544 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat, const PetscScalar **);
545 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat, PetscInt, const PetscInt *, PetscScalar *);
546 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat, Mat);
547 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat, MatReuse, Mat *);
548 PETSC_EXTERN PetscErrorCode MatComputeVariableBlockEnvelope(Mat);
549 
550 PETSC_EXTERN PetscErrorCode MatSetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
551 PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat, IS, IS, const PetscScalar[], InsertMode);
552 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
553 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat, PetscInt, const PetscScalar[]);
554 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat, PetscInt, const PetscScalar[]);
555 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt[], const PetscScalar[]);
556 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat, PetscRandom);
557 
558 /*S
559    MatStencil - Data structure (C struct) for storing information about rows and
560    columns of a matrix as indexed on an associated grid. These are arguments to `MatSetStencil()` and `MatSetBlockStencil()`
561 
562    Level: beginner
563 
564    Notes:
565    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).
566    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.
567 
568    For stencil access to vectors see `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`.
569 
570    For staggered grids, see `DMStagStencil`
571 
572    Fortran Note:
573    See `MatSetValuesStencil()` for details.
574 
575 .seealso: [](ch_matrices), `Mat`, `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`,
576           `DMStagStencil`
577 S*/
578 typedef struct {
579   PetscInt k, j, i, c;
580 } MatStencil;
581 
582 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
583 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
584 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat, PetscInt, const PetscInt[], const PetscInt[], PetscInt);
585 
586 /*E
587     MatAssemblyType - Indicates if the process of setting values into the matrix is complete, and the matrix is ready for use
588 
589     Values:
590 +   `MAT_FLUSH_ASSEMBLY` - you will continue to put values into the matrix
591 -   `MAT_FINAL_ASSEMBLY` - you wish to use the matrix with the values currently inserted
592 
593     Level: beginner
594 
595 .seealso: [](ch_matrices), `Mat`, `MatSetValues`, `MatAssemblyBegin()`, `MatAssemblyEnd()`
596 E*/
597 typedef enum {
598   MAT_FLUSH_ASSEMBLY = 1,
599   MAT_FINAL_ASSEMBLY = 0
600 } MatAssemblyType;
601 
602 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat, MatAssemblyType);
603 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat, MatAssemblyType);
604 PETSC_EXTERN PetscErrorCode MatAssembled(Mat, PetscBool *);
605 
606 /*E
607    MatOption - Options that may be set for a matrix that indicate properties of the matrix or affect its behavior or storage
608 
609    Level: beginner
610 
611    Note:
612    See `MatSetOption()` for the use of the options
613 
614    Developer Note:
615    Entries that are negative need not be called collectively by all processes.
616 
617 .seealso: [](ch_matrices), `Mat`, `MatSetOption()`
618 E*/
619 typedef enum {
620   MAT_OPTION_MIN                  = -3,
621   MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
622   MAT_ROW_ORIENTED                = -1,
623   MAT_SYMMETRIC                   = 1,
624   MAT_STRUCTURALLY_SYMMETRIC      = 2,
625   MAT_FORCE_DIAGONAL_ENTRIES      = 3,
626   MAT_IGNORE_OFF_PROC_ENTRIES     = 4,
627   MAT_USE_HASH_TABLE              = 5,
628   MAT_KEEP_NONZERO_PATTERN        = 6,
629   MAT_IGNORE_ZERO_ENTRIES         = 7,
630   MAT_USE_INODES                  = 8,
631   MAT_HERMITIAN                   = 9,
632   MAT_SYMMETRY_ETERNAL            = 10,
633   MAT_NEW_NONZERO_LOCATION_ERR    = 11,
634   MAT_IGNORE_LOWER_TRIANGULAR     = 12,
635   MAT_ERROR_LOWER_TRIANGULAR      = 13,
636   MAT_GETROW_UPPERTRIANGULAR      = 14,
637   MAT_SPD                         = 15,
638   MAT_NO_OFF_PROC_ZERO_ROWS       = 16,
639   MAT_NO_OFF_PROC_ENTRIES         = 17,
640   MAT_NEW_NONZERO_LOCATIONS       = 18,
641   MAT_NEW_NONZERO_ALLOCATION_ERR  = 19,
642   MAT_SUBSET_OFF_PROC_ENTRIES     = 20,
643   MAT_SUBMAT_SINGLEIS             = 21,
644   MAT_STRUCTURE_ONLY              = 22,
645   MAT_SORTED_FULL                 = 23,
646   MAT_FORM_EXPLICIT_TRANSPOSE     = 24,
647   MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
648   MAT_SPD_ETERNAL                 = 26,
649   MAT_OPTION_MAX                  = 27
650 } MatOption;
651 
652 PETSC_EXTERN const char *const *MatOptions;
653 PETSC_EXTERN PetscErrorCode     MatSetOption(Mat, MatOption, PetscBool);
654 PETSC_EXTERN PetscErrorCode     MatGetOption(Mat, MatOption, PetscBool *);
655 PETSC_EXTERN PetscErrorCode     MatPropagateSymmetryOptions(Mat, Mat);
656 PETSC_EXTERN PetscErrorCode     MatGetType(Mat, MatType *);
657 
658 PETSC_EXTERN PetscErrorCode    MatGetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
659 PETSC_EXTERN PetscErrorCode    MatGetRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
660 PETSC_EXTERN PetscErrorCode    MatRestoreRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
661 PETSC_EXTERN PetscErrorCode    MatGetRowUpperTriangular(Mat);
662 PETSC_EXTERN PetscErrorCode    MatRestoreRowUpperTriangular(Mat);
663 PETSC_EXTERN PetscErrorCode    MatGetColumnVector(Mat, Vec, PetscInt);
664 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArray(Mat, PetscScalar *[]);
665 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayRead(Mat, const PetscScalar *[]);
666 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayWrite(Mat, PetscScalar *[]);
667 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArray(Mat, PetscScalar *[]);
668 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayRead(Mat, const PetscScalar *[]);
669 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayWrite(Mat, PetscScalar *[]);
670 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetMaxRowNonzeros(Mat, PetscInt *);
671 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetValuesLocalFast(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
672 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetType(Mat, MatType);
673 PETSC_EXTERN PetscErrorCode    MatSeqAIJKron(Mat, Mat, MatReuse, Mat *);
674 PETSC_EXTERN PetscErrorCode    MatSeqAIJRegister(const char[], PetscErrorCode (*)(Mat, MatType, MatReuse, Mat *));
675 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
676 PETSC_EXTERN PetscErrorCode    MatSeqBAIJGetArray(Mat, PetscScalar *[]);
677 PETSC_EXTERN PetscErrorCode    MatSeqBAIJRestoreArray(Mat, PetscScalar *[]);
678 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJGetArray(Mat, PetscScalar *[]);
679 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJRestoreArray(Mat, PetscScalar *[]);
680 PETSC_EXTERN PetscErrorCode    MatDenseGetArray(Mat, PetscScalar *[]);
681 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArray(Mat, PetscScalar *[]);
682 PETSC_EXTERN PetscErrorCode    MatDensePlaceArray(Mat, const PetscScalar[]);
683 PETSC_EXTERN PetscErrorCode    MatDenseReplaceArray(Mat, const PetscScalar[]);
684 PETSC_EXTERN PetscErrorCode    MatDenseResetArray(Mat);
685 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayRead(Mat, const PetscScalar *[]);
686 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayRead(Mat, const PetscScalar *[]);
687 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWrite(Mat, PetscScalar *[]);
688 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWrite(Mat, PetscScalar *[]);
689 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayAndMemType(Mat, PetscScalar *[], PetscMemType *);
690 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayAndMemType(Mat, PetscScalar *[]);
691 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayReadAndMemType(Mat, const PetscScalar *[], PetscMemType *);
692 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayReadAndMemType(Mat, const PetscScalar *[]);
693 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWriteAndMemType(Mat, PetscScalar *[], PetscMemType *);
694 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWriteAndMemType(Mat, PetscScalar *[]);
695 PETSC_EXTERN PetscErrorCode    MatGetBlockSize(Mat, PetscInt *);
696 PETSC_EXTERN PetscErrorCode    MatSetBlockSize(Mat, PetscInt);
697 PETSC_EXTERN PetscErrorCode    MatGetBlockSizes(Mat, PetscInt *, PetscInt *);
698 PETSC_EXTERN PetscErrorCode    MatSetBlockSizes(Mat, PetscInt, PetscInt);
699 PETSC_EXTERN PetscErrorCode    MatSetBlockSizesFromMats(Mat, Mat, Mat);
700 PETSC_EXTERN PetscErrorCode    MatSetVariableBlockSizes(Mat, PetscInt, const PetscInt[]);
701 PETSC_EXTERN PetscErrorCode    MatGetVariableBlockSizes(Mat, PetscInt *, const PetscInt *[]);
702 
703 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat, PetscInt, PetscScalar *[]);
704 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat, PetscScalar *[]);
705 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat, PetscInt, Vec *);
706 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat, PetscInt, Vec *);
707 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat, PetscInt, Vec *);
708 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat, PetscInt, Vec *);
709 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat, PetscInt, Vec *);
710 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat, PetscInt, Vec *);
711 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
712 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat, Mat *);
713 
714 PETSC_EXTERN PetscErrorCode MatMult(Mat, Vec, Vec);
715 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat, Vec, Vec);
716 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat, Vec, Vec, Vec);
717 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat, Vec, Vec);
718 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat, Vec, Vec);
719 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat, Mat, PetscReal, PetscBool *);
720 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat, Mat, PetscReal, PetscBool *);
721 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat, Vec, Vec, Vec);
722 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat, Vec, Vec, Vec);
723 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat, Mat, Mat);
724 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat, Mat, Mat);
725 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat, Mat, Mat);
726 PETSC_EXTERN PetscErrorCode MatResidual(Mat, Vec, Vec, Vec);
727 
728 /*E
729   MatDuplicateOption - Indicates if a duplicated sparse matrix should have
730   its numerical values copied over or just its nonzero structure.
731 
732   Values:
733 + `MAT_DO_NOT_COPY_VALUES`    - Create a matrix using the same nonzero pattern as the original matrix,
734                                 with zeros for the numerical values
735 . `MAT_COPY_VALUES`           - Create a matrix with the same nonzero pattern as the original matrix
736                                 and with the same numerical values.
737 - `MAT_SHARE_NONZERO_PATTERN` - Create a matrix that shares the nonzero structure with the previous matrix
738                                 and does not copy it, using zeros for the numerical values. The parent and
739                                 child matrices will share their index (i and j) arrays, and you cannot
740                                 insert new nonzero entries into either matrix
741 
742   Level: beginner
743 
744   Note:
745   Many matrix types (including `MATSEQAIJ`) do not support the `MAT_SHARE_NONZERO_PATTERN` optimization; in
746   this case the behavior is as if `MAT_DO_NOT_COPY_VALUES` has been specified.
747 
748 .seealso: [](ch_matrices), `Mat`, `MatDuplicate()`
749 E*/
750 typedef enum {
751   MAT_DO_NOT_COPY_VALUES,
752   MAT_COPY_VALUES,
753   MAT_SHARE_NONZERO_PATTERN
754 } MatDuplicateOption;
755 
756 PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
757 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);
758 
759 PETSC_EXTERN PetscErrorCode MatCopy(Mat, Mat, MatStructure);
760 PETSC_EXTERN PetscErrorCode MatView(Mat, PetscViewer);
761 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat, PetscReal, PetscBool *);
762 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat, PetscBool *);
763 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat, PetscReal, PetscBool *);
764 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat, PetscBool *, PetscBool *);
765 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat, PetscBool *, PetscBool *);
766 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat, PetscBool *, PetscBool *);
767 PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat, PetscBool *, PetscBool *);
768 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat, PetscBool *, PetscInt *);
769 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
770 
771 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
772 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
773 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
774 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
775 
776 /*S
777    MatInfo - Context of matrix information, used with `MatGetInfo()`
778 
779    Level: intermediate
780 
781    Fortran Note:
782    Information is stored as a double-precision array of dimension `MAT_INFO_SIZE`
783 
784 .seealso: [](ch_matrices), `Mat`, `MatGetInfo()`, `MatInfoType`
785 S*/
786 typedef struct {
787   PetscLogDouble block_size;                          /* block size */
788   PetscLogDouble nz_allocated, nz_used, nz_unneeded;  /* number of nonzeros */
789   PetscLogDouble memory;                              /* memory allocated */
790   PetscLogDouble assemblies;                          /* number of matrix assemblies called */
791   PetscLogDouble mallocs;                             /* number of mallocs during MatSetValues() */
792   PetscLogDouble fill_ratio_given, fill_ratio_needed; /* fill ratio for LU/ILU */
793   PetscLogDouble factor_mallocs;                      /* number of mallocs during factorization */
794 } MatInfo;
795 
796 /*E
797     MatInfoType - Indicates if you want information about the local part of the matrix,
798     the entire parallel matrix or the maximum over all the local parts.
799 
800     Values:
801 +   `MAT_LOCAL`      - values for each MPI process part of the matrix
802 .   `MAT_GLOBAL_MAX` - maximum of each value over all MPI processes
803 -   `MAT_GLOBAL_SUM` - sum of each value over all MPI processes
804 
805     Level: beginner
806 
807 .seealso: [](ch_matrices), `MatGetInfo()`, `MatInfo`
808 E*/
809 typedef enum {
810   MAT_LOCAL      = 1,
811   MAT_GLOBAL_MAX = 2,
812   MAT_GLOBAL_SUM = 3
813 } MatInfoType;
814 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat, MatInfoType, MatInfo *);
815 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat, Vec);
816 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat, Vec, PetscInt[]);
817 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat, Vec, PetscInt[]);
818 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat, Vec, PetscInt[]);
819 PETSC_EXTERN PetscErrorCode MatGetRowSumAbs(Mat, Vec);
820 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat, Vec, PetscInt[]);
821 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat, Vec);
822 PETSC_EXTERN PetscErrorCode MatTranspose(Mat, MatReuse, Mat *);
823 PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat, Mat *);
824 PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat, Mat);
825 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat, MatReuse, Mat *);
826 PETSC_EXTERN PetscErrorCode MatPermute(Mat, IS, IS, Mat *);
827 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat, Vec, Vec);
828 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat, Vec, InsertMode);
829 
830 PETSC_EXTERN PetscErrorCode MatEqual(Mat, Mat, PetscBool *);
831 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat, Mat, PetscInt, PetscBool *);
832 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat, Mat, PetscInt, PetscBool *);
833 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
834 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
835 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
836 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
837 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
838 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
839 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
840 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
841 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
842 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat, PetscInt, PetscBool *);
843 
844 PETSC_EXTERN PetscErrorCode MatNorm(Mat, NormType, PetscReal *);
845 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat, NormType, PetscReal *);
846 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat, PetscScalar *);
847 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat, PetscReal *);
848 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat, PetscReal *);
849 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat, PetscScalar *);
850 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat, PetscReal *);
851 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat, PetscReal *);
852 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat, PetscInt, PetscReal *);
853 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
854 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
855 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
856 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat, IS, PetscScalar, Vec, Vec);
857 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
858 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
859 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
860 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat, IS, PetscScalar, Vec, Vec);
861 
862 PETSC_EXTERN PetscErrorCode MatGetSize(Mat, PetscInt *, PetscInt *);
863 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat, PetscInt *, PetscInt *);
864 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat, PetscInt *, PetscInt *);
865 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat, const PetscInt **);
866 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat, PetscInt *, PetscInt *);
867 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat, const PetscInt **);
868 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat, IS *, IS *);
869 
870 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
871 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[])
872 {
873   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
874 }
875 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
876 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[])
877 {
878   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
879 }
880 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
881 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
882 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
883 PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatrix()", ) static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat)
884 {
885   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
886 }
887 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
888 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
889 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
890 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);
891 
892 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm, Mat, PetscInt, PetscInt, MatReuse, Mat *);
893 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm, Mat, PetscInt, PetscInt, Mat *);
894 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat, Mat);
895 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat, MatReuse, Mat *);
896 PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat, Mat *);
897 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
898 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat, MatReuse, IS *, Mat *);
899 PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat, PetscCount *);
900 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat, Mat, MatReuse, IS *, IS *, Mat *);
901 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *, const PetscInt *[]);
902 
903 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
904 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat, PetscInt n, IS is[], PetscInt ov);
905 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);
906 
907 PETSC_EXTERN PetscErrorCode MatMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
908 
909 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
910 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
911 
912 PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
913 PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);
914 
915 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
916 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);
917 
918 PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
919 PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);
920 
921 PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
922 PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);
923 
924 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping, ISLocalToGlobalMapping);
925 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
926 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat, PetscLayout *, PetscLayout *);
927 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat, PetscLayout, PetscLayout);
928 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
929 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
930 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
931 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
932 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
933 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
934 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
935 
936 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
937 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);
938 
939 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat, Vec, Vec);
940 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat, Vec, Vec, Vec);
941 PETSC_EXTERN PetscErrorCode MatRestrict(Mat, Vec, Vec);
942 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat, Mat, Mat *);
943 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat, Mat, Mat, Mat *);
944 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat, Mat, Mat *);
945 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat, Vec *, Vec *);
946 PETSC_DEPRECATED_FUNCTION(3, 6, 0, "MatCreateVecs()", ) static inline PetscErrorCode MatGetVecs(Mat mat, Vec *x, Vec *y)
947 {
948   return MatCreateVecs(mat, x, y);
949 }
950 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat, PetscInt, MPI_Comm, MatReuse, Mat *);
951 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat, MPI_Comm, MatReuse, Mat *);
952 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat, IS *);
953 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat, IS *);
954 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm, Mat, PetscInt, MatReuse, Mat *);
955 
956 /*@C
957    MatSetValue - Set a single entry into a matrix.
958 
959    Not Collective
960 
961    Input Parameters:
962 +  mat  - the matrix
963 .  i    - the row location of the entry
964 .  j    - the column location of the entry
965 .  va   - the value to insert
966 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
967 
968    Level: beginner
969 
970    Notes:
971    This value may be cached, so `MatAssemblyBegin()` and `MatAssemblyEnd()`
972    MUST be called after all calls to `MatSetValue()` have been completed.
973 
974    For efficiency one should use `MatSetValues()` and set several values simultaneously.
975 
976 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `InsertMode`, `MatGetValue()`, `MatSetValues()`,
977           `MatSetValueLocal()`, `MatSetValuesLocal()`
978 @*/
979 static inline PetscErrorCode MatSetValue(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
980 {
981   return MatSetValues(mat, 1, &i, 1, &j, &va, mode);
982 }
983 
984 /*@C
985    MatGetValue - Gets a single value from a matrix
986 
987    Not Collective; can only return a value owned by the given process
988 
989    Input Parameters:
990 +  mat - the matrix
991 .  row - the row location of the entry
992 -  col - the column location of the entry
993 
994    Output Parameter:
995 .  va - the value
996 
997    Level: advanced
998 
999    Notes:
1000    The matrix must have been assembled with `MatAssemblyBegin()` and `MatAssemblyEnd()` before this call
1001 
1002    For efficiency one should use `MatGetValues()` and get several values simultaneously.
1003 
1004    See notes for `MatGetValues()`.
1005 
1006 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
1007 @*/
1008 static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
1009 {
1010   return MatGetValues(mat, 1, &row, 1, &col, va);
1011 }
1012 
1013 /*@C
1014    MatSetValueLocal - Inserts or adds a single value into a matrix, using a local numbering of the nodes.
1015 
1016    Not Collective
1017 
1018    Input Parameters:
1019 +  mat  - the matrix
1020 .  i    - the row location of the entry
1021 .  j    - the column location of the entry
1022 .  va   - the value to insert
1023 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
1024 
1025    Level: intermediate
1026 
1027    Notes:
1028    For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.
1029 
1030    See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.
1031 
1032 .seealso: [](ch_matrices), `MatSetValue()`, `MatSetValuesLocal()`
1033 @*/
1034 static inline PetscErrorCode MatSetValueLocal(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
1035 {
1036   return MatSetValuesLocal(mat, 1, &i, 1, &j, &va, mode);
1037 }
1038 
1039 /*MC
1040    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
1041    row in a matrix providing the data that one can use to correctly preallocate the matrix.
1042 
1043    Synopsis:
1044    #include <petscmat.h>
1045    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
1046 
1047    Collective
1048 
1049    Input Parameters:
1050 +  comm  - the communicator that will share the eventually allocated matrix
1051 .  nrows - the number of LOCAL rows in the matrix
1052 -  ncols - the number of LOCAL columns in the matrix
1053 
1054    Output Parameters:
1055 +  dnz - the array that will be passed to the matrix preallocation routines
1056 -  onz - the other array passed to the matrix preallocation routines
1057 
1058    Level: deprecated (since v3.19)
1059 
1060    Notes:
1061    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1062    the use of this routine
1063 
1064    This is a macro that handles its own error checking, it does not return an error code.
1065 
1066    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1067 
1068    Developer Note:
1069    This is a MACRO, not a function, because it has a leading { that is closed by `PetscPreallocateFinalize()`.
1070 
1071 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1072           `MatPreallocateSymmetricSetLocalBlock()`
1073 M*/
1074 #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
1075   do { \
1076     PetscInt              __nrows = (nrows), __ncols = (ncols), __rstart, __end = 0; \
1077     PetscInt PETSC_UNUSED __start; \
1078     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
1079     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
1080     __start = __end - __ncols; \
1081     (void)__start; \
1082     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
1083   __rstart -= __nrows
1084 
1085 #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateBegin()", ) MatPreallocateBegin(__VA_ARGS__)
1086 
1087 /*MC
1088    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1089    inserted using a local number of the rows and columns
1090 
1091    Synopsis:
1092    #include <petscmat.h>
1093    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1094 
1095    Not Collective
1096 
1097    Input Parameters:
1098 +  map   - the row mapping from local numbering to global numbering
1099 .  nrows - the number of rows indicated
1100 .  rows  - the indices of the rows
1101 .  cmap  - the column mapping from local to global numbering
1102 .  ncols - the number of columns in the matrix
1103 .  cols  - the columns indicated
1104 .  dnz   - the array that will be passed to the matrix preallocation routines
1105 -  onz   - the other array passed to the matrix preallocation routines
1106 
1107    Level: deprecated (since v3.19)
1108 
1109    Notes:
1110    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1111    the use of this routine
1112 
1113    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1114 
1115 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1116           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
1117 M*/
1118 #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1119   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));)
1120 
1121 /*MC
1122    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1123    inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
1124 
1125    Synopsis:
1126    #include <petscmat.h>
1127    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1128 
1129    Not Collective
1130 
1131    Input Parameters:
1132 +  map   - the row mapping from local numbering to global numbering
1133 .  nrows - the number of rows indicated
1134 .  rows  - the indices of the rows (these values are mapped to the global values)
1135 .  cmap  - the column mapping from local to global numbering
1136 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1137 .  cols  - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1138 .  dnz   - the array that will be passed to the matrix preallocation routines
1139 -  onz   - the other array passed to the matrix preallocation routines
1140 
1141    Level: deprecated (since v3.19)
1142 
1143    Notes:
1144    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1145    the use of this routine
1146 
1147    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1148 
1149 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1150           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1151 M*/
1152 #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1153   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));)
1154 
1155 /*MC
1156    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1157    inserted using a local number of the rows and columns
1158 
1159    Synopsis:
1160    #include <petscmat.h>
1161    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1162 
1163    Not Collective
1164 
1165    Input Parameters:
1166 +  map   - the row mapping from local numbering to global numbering
1167 .  nrows - the number of rows indicated
1168 .  rows  - the indices of the rows
1169 .  cmap  - the column mapping from local to global numbering
1170 .  ncols - the number of columns in the matrix
1171 .  cols  - the columns indicated
1172 .  dnz   - the array that will be passed to the matrix preallocation routines
1173 -  onz   - the other array passed to the matrix preallocation routines
1174 
1175    Level: deprecated (since v3.19)
1176 
1177    Notes:
1178    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1179    the use of this routine
1180 
1181    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1182 
1183 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1184           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1185 M*/
1186 #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1187   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));)
1188 
1189 /*MC
1190    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1191    inserted using a local number of the rows and columns
1192 
1193    Synopsis:
1194    #include <petscmat.h>
1195    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1196 
1197    Not Collective
1198 
1199    Input Parameters:
1200 +  map   - the mapping between local numbering and global numbering
1201 .  nrows - the number of rows indicated
1202 .  rows  - the indices of the rows
1203 .  ncols - the number of columns in the matrix
1204 .  cols  - the columns indicated
1205 .  dnz   - the array that will be passed to the matrix preallocation routines
1206 -  onz   - the other array passed to the matrix preallocation routines
1207 
1208    Level: deprecated (since v3.19)
1209 
1210    Notes:
1211    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1212    the use of this routine
1213 
1214    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1215 
1216 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`
1217           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1218 M*/
1219 #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1220   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));)
1221 
1222 /*MC
1223    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1224    inserted using a local number of the rows and columns
1225 
1226    Synopsis:
1227    #include <petscmat.h>
1228    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1229 
1230    Not Collective
1231 
1232    Input Parameters:
1233 +  row   - the row
1234 .  ncols - the number of columns in the matrix
1235 -  cols  - the columns indicated
1236 
1237    Output Parameters:
1238 +  dnz - the array that will be passed to the matrix preallocation routines
1239 -  onz - the other array passed to the matrix preallocation routines
1240 
1241    Level: deprecated (since v3.19)
1242 
1243    Notes:
1244    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1245    the use of this routine
1246 
1247    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1248 
1249    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().
1250 
1251 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1252           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1253 M*/
1254 #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1255   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) { \
1256     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1257     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1258   })
1259 
1260 /*MC
1261    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1262    inserted using a local number of the rows and columns
1263 
1264    Synopsis:
1265    #include <petscmat.h>
1266    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1267 
1268    Not Collective
1269 
1270    Input Parameters:
1271 +  nrows - the number of rows indicated
1272 .  rows  - the indices of the rows
1273 .  ncols - the number of columns in the matrix
1274 .  cols  - the columns indicated
1275 .  dnz   - the array that will be passed to the matrix preallocation routines
1276 -  onz   - the other array passed to the matrix preallocation routines
1277 
1278    Level: deprecated (since v3.19)
1279 
1280    Notes:
1281    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1282    the use of this routine
1283 
1284    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1285 
1286    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().
1287 
1288 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1289           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1290 M*/
1291 #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1292   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
1293     if (cols[__i] >= __end) onz[row - __rstart]++; \
1294     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1295   })
1296 
1297 /*MC
1298    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1299 
1300    Synopsis:
1301    #include <petscmat.h>
1302    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1303 
1304    Not Collective
1305 
1306    Input Parameters:
1307 +  A     - matrix
1308 .  row   - row where values exist (must be local to this process)
1309 .  ncols - number of columns
1310 .  cols  - columns with nonzeros
1311 .  dnz   - the array that will be passed to the matrix preallocation routines
1312 -  onz   - the other array passed to the matrix preallocation routines
1313 
1314    Level: deprecated (since v3.19)
1315 
1316    Notes:
1317    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1318    the use of this routine
1319 
1320    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1321 
1322    Developer Note:
1323    This is a MACRO, not a function, because it uses a bunch of variables private to the MatPreallocation.... routines.
1324 
1325 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1326           `MatPreallocateSymmetricSetLocalBlock()`
1327 M*/
1328 #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))
1329 
1330 /*MC
1331    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1332    row in a matrix providing the data that one can use to correctly preallocate the matrix.
1333 
1334    Synopsis:
1335    #include <petscmat.h>
1336    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)
1337 
1338    Collective
1339 
1340    Input Parameters:
1341 +  dnz - the array that was be passed to the matrix preallocation routines
1342 -  onz - the other array passed to the matrix preallocation routines
1343 
1344    Level: deprecated (since v3.19)
1345 
1346    Notes:
1347    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1348    the use of this routine
1349 
1350    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1351 
1352    Developer Note:
1353    This is a MACRO, not a function, because it closes the { started in MatPreallocateBegin().
1354 
1355 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1356           `MatPreallocateSymmetricSetLocalBlock()`
1357 M*/
1358 #define MatPreallocateEnd(dnz, onz) \
1359   PetscCall(PetscFree2(dnz, onz)); \
1360   } \
1361   while (0)
1362 
1363 #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateEnd()", ) MatPreallocateEnd(__VA_ARGS__)
1364 
1365 /* Routines unique to particular data structures */
1366 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, void *);
1367 
1368 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1369 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);
1370 
1371 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1372 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1373 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1374 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1375 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1376 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscInt, PetscBool);
1377 
1378 #define MAT_SKIP_ALLOCATION -4
1379 
1380 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1381 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1382 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1383 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);
1384 
1385 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1386 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1387 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1388 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1389 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1390 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1391 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1392 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1393 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1394 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1395 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1396 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1397 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1398 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1399 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);
1400 
1401 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1402 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1403 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatDenseSetLDA()", ) static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
1404 {
1405   return MatDenseSetLDA(A, lda);
1406 }
1407 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);
1408 
1409 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1410 
1411 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1412 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1413 
1414 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1415 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1416 /*
1417   These routines are not usually accessed directly, rather solving is
1418   done through the KSP and PC interfaces.
1419 */
1420 
1421 /*J
1422    MatOrderingType - String with the name of a PETSc matrix ordering. These orderings are most commonly used
1423    to reduce fill in sparse factorizations.
1424 
1425    Level: beginner
1426 
1427    Notes:
1428    If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and instead the external factorization solver package called utilizes one
1429    of its own.
1430 
1431    There is no `MatOrdering` object, the ordering is obtained directly from the matrix with `MatGetOrdering()`
1432 
1433    Developer Note:
1434    This API should be converted to an API similar to those for `MatColoring` and `MatPartitioning`
1435 
1436 .seealso: [](ch_matrices), [](sec_graph), `MatGetFactor()`, `MatGetOrdering()`, `MatColoringType`, `MatPartitioningType`, `MatCoarsenType`, `MatCoarsenType`,
1437           `PCFactorSetOrderingType()`
1438 J*/
1439 typedef const char *MatOrderingType;
1440 #define MATORDERINGNATURAL       "natural"
1441 #define MATORDERINGND            "nd"
1442 #define MATORDERING1WD           "1wd"
1443 #define MATORDERINGRCM           "rcm"
1444 #define MATORDERINGQMD           "qmd"
1445 #define MATORDERINGROWLENGTH     "rowlength"
1446 #define MATORDERINGWBM           "wbm"
1447 #define MATORDERINGSPECTRAL      "spectral"
1448 #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1449 #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1450 #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 */
1451 #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */
1452 
1453 PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1454 PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1455 PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1456 PETSC_EXTERN PetscFunctionList MatOrderingList;
1457 
1458 #include "petscmatcoarsen.h"
1459 
1460 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1461 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);
1462 
1463 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);
1464 
1465 /*S
1466    MatFactorShiftType - Type of numeric shift used for factorizations
1467 
1468    Values:
1469 +  `MAT_SHIFT_NONE`              - do not shift the matrix diagonal entries
1470 .  `MAT_SHIFT_NONZERO`           - shift the entries to be non-zero
1471 .  `MAT_SHIFT_POSITIVE_DEFINITE` - shift the entries to force the factorization to be positive definite
1472 -  `MAT_SHIFT_INBLOCKS`          - only shift the factors inside the small dense diagonal blocks of the matrix, for example with `MATBAIJ`
1473 
1474    Level: intermediate
1475 
1476 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `PCFactorSetShiftType()`
1477 S*/
1478 typedef enum {
1479   MAT_SHIFT_NONE,
1480   MAT_SHIFT_NONZERO,
1481   MAT_SHIFT_POSITIVE_DEFINITE,
1482   MAT_SHIFT_INBLOCKS
1483 } MatFactorShiftType;
1484 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1485 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1486 
1487 /*S
1488     MatFactorError - indicates what type of error was generated in a matrix factorization
1489 
1490     Values:
1491 +   `MAT_FACTOR_NOERROR`           - there was no error during the factorization
1492 .   `MAT_FACTOR_STRUCT_ZEROPIVOT`  - there was a missing entry in a diagonal location of the matrix
1493 .   `MAT_FACTOR_NUMERIC_ZEROPIVOT` - there was a (near) zero pivot during the factorization
1494 .   `MAT_FACTOR_OUTMEMORY`         - the factorization has run out of memory
1495 -   `MAT_FACTOR_OTHER`             - some other error has occurred.
1496 
1497     Level: intermediate
1498 
1499     Note:
1500     When a factorization is done in a preconditioner `PC` the error may be propagated up to a `PCFailedReason` or a `KSPConvergedReason`
1501 
1502 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `MatFactorGetError()`, `MatFactorGetErrorZeroPivot()`, `MatFactorClearError()`,
1503           `PCFailedReason`, `PCGetFailedReason()`, `KSPConvergedReason`
1504 S*/
1505 typedef enum {
1506   MAT_FACTOR_NOERROR,
1507   MAT_FACTOR_STRUCT_ZEROPIVOT,
1508   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1509   MAT_FACTOR_OUTMEMORY,
1510   MAT_FACTOR_OTHER
1511 } MatFactorError;
1512 
1513 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1514 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1515 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);
1516 
1517 /*S
1518    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1519 
1520    Level: developer
1521 
1522    Note:
1523    You can use `MatFactorInfoInitialize()` to set default values.
1524 
1525    Fortran Note:
1526    The data is available in a double precision arrays of size `MAT_FACTORINFO_SIZE`
1527 
1528 .seealso: [](ch_matrices), `Mat`, `MatInfo`, `MatGetFactor()`, `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`,
1529           `MatICCFactorSymbolic()`, `MatICCFactor()`, `MatFactorInfoInitialize()`
1530 S*/
1531 typedef struct {
1532   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1533   PetscReal usedt;
1534   PetscReal dt;            /* drop tolerance */
1535   PetscReal dtcol;         /* tolerance for pivoting */
1536   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1537   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1538   PetscReal levels;        /* ICC/ILU(levels) */
1539   PetscReal pivotinblocks; /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1540                                    factorization may be faster if do not pivot */
1541   PetscReal zeropivot;     /* pivot is called zero if less than this */
1542   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1543   PetscReal shiftamount;   /* how large the shift is */
1544 } MatFactorInfo;
1545 
1546 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1547 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1548 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1549 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1550 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1551 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1552 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1553 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1554 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1555 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1556 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1557 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1558 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1559 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1560 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1561 PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1562 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1563 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1564 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1565 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1566 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1567 PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1568 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1569 
1570 typedef enum {
1571   MAT_FACTOR_SCHUR_UNFACTORED,
1572   MAT_FACTOR_SCHUR_FACTORED,
1573   MAT_FACTOR_SCHUR_INVERTED
1574 } MatFactorSchurStatus;
1575 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1576 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1577 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1578 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1579 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1580 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1581 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1582 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1583 
1584 PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1585 /*E
1586    MatSORType - What type of (S)SOR to perform
1587 
1588    Values:
1589 +  `SOR_FORWARD_SWEEP`         - do a sweep from the first row of the matrix to the last
1590 .  `SOR_BACKWARD_SWEEP`        - do a sweep from the last row to the first
1591 .  `SOR_SYMMETRIC_SWEEP`       - do a sweep from the first row to the last and then back to the first
1592 .  `SOR_LOCAL_FORWARD_SWEEP`   - each MPI process does its own forward sweep with no communication
1593 .  `SOR_LOCAL_BACKWARD_SWEEP`  - each MPI process does its own backward sweep with no communication
1594 .  `SOR_LOCAL_SYMMETRIC_SWEEP` - each MPI process does its own symmetric sweep with no communication
1595 .  `SOR_ZERO_INITIAL_GUESS`    - indicates the initial solution is zero so the sweep can avoid unneeded computation
1596 .  `SOR_EISENSTAT`             - apply the Eisentat application of SOR, see `PCEISENSTAT`
1597 .  `SOR_APPLY_UPPER`           - multiply by the upper triangular portion of the matrix
1598 -  `SOR_APPLY_LOWER`           - multiply by the lower triangular portion of the matrix
1599 
1600    Level: beginner
1601 
1602    Note:
1603    These may be bitwise ORd together
1604 
1605    Developer Note:
1606    Since `MatSORType` may be bitwise ORd together, so do not change the numerical values below
1607 
1608 .seealso: [](ch_matrices), `MatSOR()`
1609 E*/
1610 typedef enum {
1611   SOR_FORWARD_SWEEP         = 1,
1612   SOR_BACKWARD_SWEEP        = 2,
1613   SOR_SYMMETRIC_SWEEP       = 3,
1614   SOR_LOCAL_FORWARD_SWEEP   = 4,
1615   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1616   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1617   SOR_ZERO_INITIAL_GUESS    = 16,
1618   SOR_EISENSTAT             = 32,
1619   SOR_APPLY_UPPER           = 64,
1620   SOR_APPLY_LOWER           = 128
1621 } MatSORType;
1622 PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);
1623 
1624 /*S
1625    MatColoring - Object for managing the coloring of matrices.
1626 
1627    Level: beginner
1628 
1629    Notes:
1630    Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1631    matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).
1632 
1633    Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1634    same object can also be used to efficiently convert data created by Automatic Differentiation tools to PETSc sparse matrices.
1635 
1636 .seealso: [](ch_matrices), [](sec_graph), `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`,
1637           `MatPartitioning`, `MatColoringType`, `MatPartitioningType`, `MatOrderingType`, `MatColoringSetWeightType()`,
1638           `MatColoringSetWeights()`, `MatCoarsenType`, `MatCoarsen`
1639 S*/
1640 typedef struct _p_MatColoring *MatColoring;
1641 
1642 /*J
1643    MatColoringType - String with the name of a PETSc matrix coloring
1644 
1645    Level: beginner
1646 
1647 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatFDColoringCreate()`, `MatColoringSetType()`, `MatColoring`
1648 J*/
1649 typedef const char *MatColoringType;
1650 #define MATCOLORINGJP      "jp"
1651 #define MATCOLORINGPOWER   "power"
1652 #define MATCOLORINGNATURAL "natural"
1653 #define MATCOLORINGSL      "sl"
1654 #define MATCOLORINGLF      "lf"
1655 #define MATCOLORINGID      "id"
1656 #define MATCOLORINGGREEDY  "greedy"
1657 
1658 /*E
1659    MatColoringWeightType - Type of weight scheme used for the coloring algorithm
1660 
1661    Values:
1662 +  `MAT_COLORING_RANDOM`  - Random weights
1663 .  `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1664 -  `MAT_COLORING_LF`      - Last-first weighting.
1665 
1666     Level: intermediate
1667 
1668 .seealso: [](ch_matrices), `MatColoring`, `MatColoringCreate()`, `MatColoringSetWeightType()`, `MatColoringSetWeights()`
1669 E*/
1670 typedef enum {
1671   MAT_COLORING_WEIGHT_RANDOM,
1672   MAT_COLORING_WEIGHT_LEXICAL,
1673   MAT_COLORING_WEIGHT_LF,
1674   MAT_COLORING_WEIGHT_SL
1675 } MatColoringWeightType;
1676 
1677 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1678 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1679 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1680 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1681 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1682 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1683 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1684 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1685 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1686 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1687 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1688 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1689 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1690 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1691 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1692 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1693 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1694 PETSC_DEPRECATED_FUNCTION(3, 10, 0, "MatColoringTest()", ) static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
1695 {
1696   return MatColoringTest(matcoloring, iscoloring);
1697 }
1698 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);
1699 
1700 /*S
1701    MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring
1702 
1703    Level: beginner
1704 
1705    Notes:
1706    This object is creating utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`
1707 
1708    The `SNES` option `-snes_fd_coloring` will cause the Jacobian needed by `SNES` to be computed via a use of this object
1709 
1710 .seealso: [](ch_matrices), `Mat`, `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1711 S*/
1712 typedef struct _p_MatFDColoring *MatFDColoring;
1713 
1714 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1715 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1716 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1717 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, PetscErrorCode (*)(void), void *);
1718 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, PetscErrorCode (**)(void), void **);
1719 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1720 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1721 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1722 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1723 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1724 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1725 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1726 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);
1727 
1728 /*S
1729    MatTransposeColoring - Object for computing a sparse matrix product $C = A*B^T$ via coloring
1730 
1731    Level: developer
1732 
1733 .seealso: [](ch_matrices), `Mat`, `MatProductType`, `MatTransposeColoringCreate()`
1734 S*/
1735 typedef struct _p_MatTransposeColoring *MatTransposeColoring;
1736 
1737 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1738 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1739 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1740 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);
1741 
1742 /*S
1743    MatPartitioning - Object for managing the partitioning of a matrix or graph
1744 
1745    Level: beginner
1746 
1747    Note:
1748    There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1749    via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)
1750 
1751    Developer Note:
1752    It is an extra maintenance and documentation cost to have two objects with the same functionality. `PetscPartitioner` should be removed
1753 
1754 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`, `MatOrderingType`,
1755           `MatCoarsenType`, `MatCoarsenType`
1756 S*/
1757 typedef struct _p_MatPartitioning *MatPartitioning;
1758 
1759 /*J
1760     MatPartitioningType - String with the name of a PETSc matrix partitioning
1761 
1762    Level: beginner
1763 dm
1764 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`, `MatColoringType`, `MatOrderingType`,
1765           `MatCoarsenType`, `MatCoarsenType`
1766 J*/
1767 typedef const char *MatPartitioningType;
1768 #define MATPARTITIONINGCURRENT  "current"
1769 #define MATPARTITIONINGAVERAGE  "average"
1770 #define MATPARTITIONINGSQUARE   "square"
1771 #define MATPARTITIONINGPARMETIS "parmetis"
1772 #define MATPARTITIONINGCHACO    "chaco"
1773 #define MATPARTITIONINGPARTY    "party"
1774 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1775 #define MATPARTITIONINGHIERARCH "hierarch"
1776 
1777 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1778 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1779 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1780 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1781 PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1782 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1783 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1784 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1785 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1786 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1787 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1788 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1789 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1790 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1791 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1792 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1793 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1794 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1795 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);
1796 
1797 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1798 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1799 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1800 
1801 typedef enum {
1802   MP_CHACO_MULTILEVEL = 1,
1803   MP_CHACO_SPECTRAL   = 2,
1804   MP_CHACO_LINEAR     = 4,
1805   MP_CHACO_RANDOM     = 5,
1806   MP_CHACO_SCATTERED  = 6
1807 } MPChacoGlobalType;
1808 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1809 typedef enum {
1810   MP_CHACO_KERNIGHAN = 1,
1811   MP_CHACO_NONE      = 2
1812 } MPChacoLocalType;
1813 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1814 typedef enum {
1815   MP_CHACO_LANCZOS = 0,
1816   MP_CHACO_RQI     = 1
1817 } MPChacoEigenType;
1818 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1819 
1820 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1821 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1822 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1823 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1824 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1825 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1826 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1827 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1828 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1829 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1830 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);
1831 
1832 #define MP_PARTY_OPT "opt"
1833 #define MP_PARTY_LIN "lin"
1834 #define MP_PARTY_SCA "sca"
1835 #define MP_PARTY_RAN "ran"
1836 #define MP_PARTY_GBF "gbf"
1837 #define MP_PARTY_GCF "gcf"
1838 #define MP_PARTY_BUB "bub"
1839 #define MP_PARTY_DEF "def"
1840 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1841 #define MP_PARTY_HELPFUL_SETS  "hs"
1842 #define MP_PARTY_KERNIGHAN_LIN "kl"
1843 #define MP_PARTY_NONE          "no"
1844 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1845 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1846 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1847 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);
1848 
1849 typedef enum {
1850   MP_PTSCOTCH_DEFAULT,
1851   MP_PTSCOTCH_QUALITY,
1852   MP_PTSCOTCH_SPEED,
1853   MP_PTSCOTCH_BALANCE,
1854   MP_PTSCOTCH_SAFETY,
1855   MP_PTSCOTCH_SCALABILITY
1856 } MPPTScotchStrategyType;
1857 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1858 
1859 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1860 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1861 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1862 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);
1863 
1864 /*
1865  * hierarchical partitioning
1866  */
1867 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1868 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1869 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1870 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1871 
1872 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);
1873 
1874 /*
1875     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1876     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1877 */
1878 typedef enum {
1879   MATOP_SET_VALUES               = 0,
1880   MATOP_GET_ROW                  = 1,
1881   MATOP_RESTORE_ROW              = 2,
1882   MATOP_MULT                     = 3,
1883   MATOP_MULT_ADD                 = 4,
1884   MATOP_MULT_TRANSPOSE           = 5,
1885   MATOP_MULT_TRANSPOSE_ADD       = 6,
1886   MATOP_SOLVE                    = 7,
1887   MATOP_SOLVE_ADD                = 8,
1888   MATOP_SOLVE_TRANSPOSE          = 9,
1889   MATOP_SOLVE_TRANSPOSE_ADD      = 10,
1890   MATOP_LUFACTOR                 = 11,
1891   MATOP_CHOLESKYFACTOR           = 12,
1892   MATOP_SOR                      = 13,
1893   MATOP_TRANSPOSE                = 14,
1894   MATOP_GETINFO                  = 15,
1895   MATOP_EQUAL                    = 16,
1896   MATOP_GET_DIAGONAL             = 17,
1897   MATOP_DIAGONAL_SCALE           = 18,
1898   MATOP_NORM                     = 19,
1899   MATOP_ASSEMBLY_BEGIN           = 20,
1900   MATOP_ASSEMBLY_END             = 21,
1901   MATOP_SET_OPTION               = 22,
1902   MATOP_ZERO_ENTRIES             = 23,
1903   MATOP_ZERO_ROWS                = 24,
1904   MATOP_LUFACTOR_SYMBOLIC        = 25,
1905   MATOP_LUFACTOR_NUMERIC         = 26,
1906   MATOP_CHOLESKY_FACTOR_SYMBOLIC = 27,
1907   MATOP_CHOLESKY_FACTOR_NUMERIC  = 28,
1908   MATOP_SETUP                    = 29,
1909   MATOP_ILUFACTOR_SYMBOLIC       = 30,
1910   MATOP_ICCFACTOR_SYMBOLIC       = 31,
1911   MATOP_GET_DIAGONAL_BLOCK       = 32,
1912   MATOP_SET_INF                  = 33,
1913   MATOP_DUPLICATE                = 34,
1914   MATOP_FORWARD_SOLVE            = 35,
1915   MATOP_BACKWARD_SOLVE           = 36,
1916   MATOP_ILUFACTOR                = 37,
1917   MATOP_ICCFACTOR                = 38,
1918   MATOP_AXPY                     = 39,
1919   MATOP_CREATE_SUBMATRICES       = 40,
1920   MATOP_INCREASE_OVERLAP         = 41,
1921   MATOP_GET_VALUES               = 42,
1922   MATOP_COPY                     = 43,
1923   MATOP_GET_ROW_MAX              = 44,
1924   MATOP_SCALE                    = 45,
1925   MATOP_SHIFT                    = 46,
1926   MATOP_DIAGONAL_SET             = 47,
1927   MATOP_ZERO_ROWS_COLUMNS        = 48,
1928   MATOP_SET_RANDOM               = 49,
1929   MATOP_GET_ROW_IJ               = 50,
1930   MATOP_RESTORE_ROW_IJ           = 51,
1931   MATOP_GET_COLUMN_IJ            = 52,
1932   MATOP_RESTORE_COLUMN_IJ        = 53,
1933   MATOP_FDCOLORING_CREATE        = 54,
1934   MATOP_COLORING_PATCH           = 55,
1935   MATOP_SET_UNFACTORED           = 56,
1936   MATOP_PERMUTE                  = 57,
1937   MATOP_SET_VALUES_BLOCKED       = 58,
1938   MATOP_CREATE_SUBMATRIX         = 59,
1939   MATOP_DESTROY                  = 60,
1940   MATOP_VIEW                     = 61,
1941   MATOP_CONVERT_FROM             = 62,
1942   /* MATOP_PLACEHOLDER_63=63 */
1943   MATOP_MATMAT_MULT_SYMBOLIC    = 64,
1944   MATOP_MATMAT_MULT_NUMERIC     = 65,
1945   MATOP_SET_LOCAL_TO_GLOBAL_MAP = 66,
1946   MATOP_SET_VALUES_LOCAL        = 67,
1947   MATOP_ZERO_ROWS_LOCAL         = 68,
1948   MATOP_GET_ROW_MAX_ABS         = 69,
1949   MATOP_GET_ROW_MIN_ABS         = 70,
1950   MATOP_CONVERT                 = 71,
1951   MATOP_HAS_OPERATION           = 72,
1952   /* MATOP_PLACEHOLDER_73=73, */
1953   MATOP_SET_VALUES_ADIFOR = 74,
1954   MATOP_FD_COLORING_APPLY = 75,
1955   MATOP_SET_FROM_OPTIONS  = 76,
1956   /* MATOP_PLACEHOLDER_77=77, */
1957   /* MATOP_PLACEHOLDER_78=78, */
1958   MATOP_FIND_ZERO_DIAGONALS       = 79,
1959   MATOP_MULT_MULTIPLE             = 80,
1960   MATOP_SOLVE_MULTIPLE            = 81,
1961   MATOP_GET_INERTIA               = 82,
1962   MATOP_LOAD                      = 83,
1963   MATOP_IS_SYMMETRIC              = 84,
1964   MATOP_IS_HERMITIAN              = 85,
1965   MATOP_IS_STRUCTURALLY_SYMMETRIC = 86,
1966   MATOP_SET_VALUES_BLOCKEDLOCAL   = 87,
1967   MATOP_CREATE_VECS               = 88,
1968   /* MATOP_PLACEHOLDER_89=89, */
1969   MATOP_MAT_MULT_SYMBOLIC = 90,
1970   MATOP_MAT_MULT_NUMERIC  = 91,
1971   /* MATOP_PLACEHOLDER_92=92, */
1972   MATOP_PTAP_SYMBOLIC = 93,
1973   MATOP_PTAP_NUMERIC  = 94,
1974   /* MATOP_PLACEHOLDER_95=95, */
1975   MATOP_MAT_TRANSPOSE_MULT_SYMBO = 96,
1976   MATOP_MAT_TRANSPOSE_MULT_NUMER = 97,
1977   MATOP_BIND_TO_CPU              = 98,
1978   MATOP_PRODUCTSETFROMOPTIONS    = 99,
1979   MATOP_PRODUCTSYMBOLIC          = 100,
1980   MATOP_PRODUCTNUMERIC           = 101,
1981   MATOP_CONJUGATE                = 102,
1982   MATOP_VIEW_NATIVE              = 103,
1983   MATOP_SET_VALUES_ROW           = 104,
1984   MATOP_REAL_PART                = 105,
1985   MATOP_IMAGINARY_PART           = 106,
1986   MATOP_GET_ROW_UPPER_TRIANGULAR = 107,
1987   MATOP_RESTORE_ROW_UPPER_TRIANG = 108,
1988   MATOP_MAT_SOLVE                = 109,
1989   MATOP_MAT_SOLVE_TRANSPOSE      = 110,
1990   MATOP_GET_ROW_MIN              = 111,
1991   MATOP_GET_COLUMN_VECTOR        = 112,
1992   MATOP_MISSING_DIAGONAL         = 113,
1993   MATOP_GET_SEQ_NONZERO_STRUCTUR = 114,
1994   MATOP_CREATE                   = 115,
1995   MATOP_GET_GHOSTS               = 116,
1996   MATOP_GET_LOCAL_SUB_MATRIX     = 117,
1997   MATOP_RESTORE_LOCALSUB_MATRIX  = 118,
1998   MATOP_MULT_DIAGONAL_BLOCK      = 119,
1999   MATOP_HERMITIAN_TRANSPOSE      = 120,
2000   MATOP_MULT_HERMITIAN_TRANSPOSE = 121,
2001   MATOP_MULT_HERMITIAN_TRANS_ADD = 122,
2002   MATOP_GET_MULTI_PROC_BLOCK     = 123,
2003   MATOP_FIND_NONZERO_ROWS        = 124,
2004   MATOP_GET_COLUMN_NORMS         = 125,
2005   MATOP_INVERT_BLOCK_DIAGONAL    = 126,
2006   MATOP_INVERT_VBLOCK_DIAGONAL   = 127,
2007   MATOP_CREATE_SUB_MATRICES_MPI  = 128,
2008   MATOP_SET_VALUES_BATCH         = 129,
2009   /* MATOP_PLACEHOLDER_130=130, */
2010   MATOP_TRANSPOSE_MAT_MULT_SYMBO = 131,
2011   MATOP_TRANSPOSE_MAT_MULT_NUMER = 132,
2012   MATOP_TRANSPOSE_COLORING_CREAT = 133,
2013   MATOP_TRANS_COLORING_APPLY_SPT = 134,
2014   MATOP_TRANS_COLORING_APPLY_DEN = 135,
2015   /* MATOP_PLACEHOLDER_136=136, */
2016   MATOP_RART_SYMBOLIC         = 137,
2017   MATOP_RART_NUMERIC          = 138,
2018   MATOP_SET_BLOCK_SIZES       = 139,
2019   MATOP_AYPX                  = 140,
2020   MATOP_RESIDUAL              = 141,
2021   MATOP_FDCOLORING_SETUP      = 142,
2022   MATOP_FIND_OFFBLOCK_ENTRIES = 143,
2023   MATOP_MPICONCATENATESEQ     = 144,
2024   MATOP_DESTROYSUBMATRICES    = 145,
2025   MATOP_MAT_TRANSPOSE_SOLVE   = 146,
2026   MATOP_GET_VALUES_LOCAL      = 147,
2027   MATOP_CREATE_GRAPH          = 148,
2028   /* MATOP_PLACEHOLDER_149=149, */
2029   MATOP_TRANSPOSE_SYMBOLIC  = 150,
2030   MATOP_ELIMINATE_ZEROS     = 151,
2031   MATOP_GET_ROW_SUM_ABS     = 152,
2032   MATOP_GET_FACTOR          = 153,
2033   MATOP_GET_BLOCK_DIAGONAL  = 154, // NOTE: caller of the two op functions owns the returned matrix
2034   MATOP_GET_VBLOCK_DIAGONAL = 155  // and need to destroy it after use.
2035 } MatOperation;
2036 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, void (*)(void));
2037 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, void (**)(void));
2038 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
2039 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
2040 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatProductClear()", ) static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
2041 {
2042   return MatProductClear(A);
2043 }
2044 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, void (*)(void));
2045 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, void (**)(void));
2046 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, void *);
2047 PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscErrorCode (*)(void *));
2048 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
2049 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2050 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2051 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
2052 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscErrorCode (*)(void *), MatType, MatType);
2053 PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);
2054 
2055 /*
2056    Codes for matrices stored on disk. By default they are
2057    stored in a universal format. By changing the format with
2058    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
2059    be stored in a way natural for the matrix, for example dense matrices
2060    would be stored as dense. Matrices stored this way may only be
2061    read into matrices of the same type.
2062 */
2063 #define MATRIX_BINARY_FORMAT_DENSE -1
2064 
2065 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);
2066 
2067 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
2068 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
2069 PETSC_EXTERN PetscErrorCode MatISSetAllowRepeated(Mat, PetscBool);
2070 PETSC_EXTERN PetscErrorCode MatISGetAllowRepeated(Mat, PetscBool *);
2071 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
2072 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
2073 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
2074 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
2075 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
2076 PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
2077 
2078 /*S
2079    MatNullSpace - Object that removes a null space from a vector, i.e.
2080                   orthogonalizes the vector to a subspace
2081 
2082    Level: advanced
2083 
2084 .seealso: [](ch_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2085 S*/
2086 typedef struct _p_MatNullSpace *MatNullSpace;
2087 
2088 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
2089 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, PetscErrorCode (*)(MatNullSpace, Vec, void *), void *);
2090 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
2091 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
2092 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
2093 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
2094 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
2095 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
2096 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
2097 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
2098 PETSC_EXTERN PetscErrorCode MatGetNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2099 PETSC_EXTERN PetscErrorCode MatRestoreNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2100 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
2101 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
2102 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
2103 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);
2104 
2105 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
2106 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
2107 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);
2108 
2109 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
2110 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
2111 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);
2112 
2113 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
2114 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);
2115 
2116 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperator()", ) static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
2117 {
2118   return MatComputeOperator(A, PETSC_NULLPTR, B);
2119 }
2120 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperatorTranspose()", ) static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
2121 {
2122   return MatComputeOperatorTranspose(A, PETSC_NULLPTR, B);
2123 }
2124 
2125 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
2126 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
2127 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
2128 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2129 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
2130 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
2131 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
2132 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2133 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
2134 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
2135 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
2136 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
2137 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
2138 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);
2139 
2140 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);
2141 
2142 PETSC_EXTERN PetscErrorCode MatMFFDInitializePackage(void);
2143 PETSC_EXTERN PetscErrorCode MatMFFDFinalizePackage(void);
2144 
2145 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2146 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
2147 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, PetscErrorCode (*)(void *, Vec, Vec), void *);
2148 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, PetscErrorCode (*)(void *, PetscInt, Vec, PetscScalar *));
2149 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, PetscErrorCode (*)(void *, Vec));
2150 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
2151 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
2152 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
2153 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
2154 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
2155 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
2156 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
2157 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, PetscErrorCode (*)(void *, Vec, Vec, PetscScalar *), void *);
2158 
2159 /*S
2160     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2161               Jacobian vector products
2162 
2163     Level: developer
2164 
2165     Notes:
2166     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure
2167 
2168      MatMFFD*() methods actually take the `Mat` as their first argument. Not a `MatMFFD` data structure
2169 
2170     This functionality is often obtained using `MatCreateSNESMF()` or with `SNES` solvers using `-snes_mf` or `-snes_mf_operator`
2171 
2172 .seealso: [](ch_matrices), `MatMFFDType`, `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`,
2173           `MatCreateSNESMF()`, `SNES`, `-snes_mf`, `-snes_mf_operator`
2174 S*/
2175 typedef struct _p_MatMFFD *MatMFFD;
2176 
2177 /*J
2178    MatMFFDType - algorithm used to compute the `h` used in computing matrix-vector products via differencing of a function
2179 
2180    Values:
2181 +   `MATMFFD_DS` - an algorithm described by Dennis and Schnabel {cite}`dennis:83`
2182 -   `MATMFFD_WP` - the Walker-Pernice {cite}`pw98` strategy.
2183 
2184    Level: beginner
2185 
2186 .seealso: [](ch_matrices), `MatMFFDSetType()`, `MatMFFDRegister()`, `MatMFFDSetFunction()`, `MatCreateMFFD()`
2187 J*/
2188 typedef const char *MatMFFDType;
2189 #define MATMFFD_DS "ds"
2190 #define MATMFFD_WP "wp"
2191 
2192 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2193 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));
2194 
2195 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2196 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);
2197 
2198 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);
2199 
2200 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2201 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
2202 
2203 #ifdef PETSC_HAVE_H2OPUS
2204 PETSC_EXTERN_TYPEDEF typedef PetscScalar(MatH2OpusKernelFn)(PetscInt, PetscReal[], PetscReal[], void *);
2205 PETSC_EXTERN_TYPEDEF typedef MatH2OpusKernelFn *MatH2OpusKernel;
2206 
2207 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernelFn *, void *, PetscReal, PetscInt, PetscInt, Mat *);
2208 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2209 PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2210 PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
2211 PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat, PetscReal);
2212 PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat, PetscBool);
2213 PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat, PetscBool *);
2214 PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat, IS *);
2215 PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2216 PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2217 #endif
2218 
2219 #ifdef PETSC_HAVE_HTOOL
2220 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(MatHtoolKernelFn)(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2221 PETSC_EXTERN_TYPEDEF typedef MatHtoolKernelFn *MatHtoolKernel;
2222 
2223 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernelFn *, void *, Mat *);
2224 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat, MatHtoolKernelFn *, void *);
2225 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat, IS *);
2226 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat, IS *);
2227 PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat, PetscBool);
2228 
2229 /*E
2230    MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`
2231 
2232    Values:
2233 +  `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2234 .  `MAT_HTOOL_COMPRESSOR_FULL_ACA`                 - full adaptive cross approximation
2235 -  `MAT_HTOOL_COMPRESSOR_SVD`                      - singular value decomposition
2236 
2237    Level: intermediate
2238 
2239 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2240 E*/
2241 typedef enum {
2242   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2243   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2244   MAT_HTOOL_COMPRESSOR_SVD
2245 } MatHtoolCompressorType;
2246 
2247 /*E
2248    MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`
2249 
2250    Values:
2251 +  `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default)    - axis computed via principle component analysis, split uniformly
2252 .  `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC`            - axis computed via principle component analysis, split barycentrically
2253 .  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR`   - axis along the largest extent of the bounding box, split uniformly
2254 -  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically
2255 
2256    Level: intermediate
2257 
2258    Note:
2259    Higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
2260 
2261 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2262 E*/
2263 typedef enum {
2264   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2265   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2266   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2267   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2268 } MatHtoolClusteringType;
2269 #endif
2270 
2271 #ifdef PETSC_HAVE_MUMPS
2272 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2273 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2274 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2275 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);
2276 
2277 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2278 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2279 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2280 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2281 PETSC_EXTERN PetscErrorCode MatMumpsGetNullPivots(Mat, PetscInt *, PetscInt **);
2282 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2283 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2284 #endif
2285 
2286 #ifdef PETSC_HAVE_MKL_PARDISO
2287 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2288 #endif
2289 
2290 #ifdef PETSC_HAVE_MKL_CPARDISO
2291 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2292 #endif
2293 
2294 #ifdef PETSC_HAVE_SUPERLU
2295 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2296 #endif
2297 
2298 #ifdef PETSC_HAVE_SUPERLU_DIST
2299 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2300 #endif
2301 
2302 #ifdef PETSC_HAVE_STRUMPACK
2303 /*E
2304     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `MATSOLVERSTRUMPACK`
2305 
2306     Values:
2307 +  `MAT_STRUMPACK_NATURAL`   - use the current ordering
2308 .  `MAT_STRUMPACK_METIS`     - use MeTis to compute an ordering
2309 .  `MAT_STRUMPACK_PARMETIS`  - use ParMeTis to compute an ordering
2310 .  `MAT_STRUMPACK_SCOTCH`    - use Scotch to compute an ordering
2311 .  `MAT_STRUMPACK_PTSCOTCH`  - use parallel Scotch to compute an ordering
2312 .  `MAT_STRUMPACK_RCM`       - use an RCM ordering
2313 .  `MAT_STRUMPACK_GEOMETRIC` - use a geometric ordering (needs mesh info from user)
2314 .  `MAT_STRUMPACK_AMD`       - approximate minimum degree
2315 .  `MAT_STRUMPACK_MMD`       - multiple minimum degree
2316 .  `MAT_STRUMPACK_AND`       - approximate nested dissection
2317 .  `MAT_STRUMPACK_MLF`       - minimum local fill
2318 -  `MAT_STRUMPACK_SPECTRAL`  - spectral nested dissection
2319 
2320     Level: intermediate
2321 
2322     Developer Note:
2323     Should be called `MatSTRUMPACKReorderingType`
2324 
2325 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetReordering()`
2326 E*/
2327 typedef enum {
2328   MAT_STRUMPACK_NATURAL,
2329   MAT_STRUMPACK_METIS,
2330   MAT_STRUMPACK_PARMETIS,
2331   MAT_STRUMPACK_SCOTCH,
2332   MAT_STRUMPACK_PTSCOTCH,
2333   MAT_STRUMPACK_RCM,
2334   MAT_STRUMPACK_GEOMETRIC,
2335   MAT_STRUMPACK_AMD,
2336   MAT_STRUMPACK_MMD,
2337   MAT_STRUMPACK_AND,
2338   MAT_STRUMPACK_MLF,
2339   MAT_STRUMPACK_SPECTRAL
2340 } MatSTRUMPACKReordering;
2341 
2342 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2343 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetReordering(Mat, MatSTRUMPACKReordering *);
2344 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricNxyz(Mat, PetscInt, PetscInt, PetscInt);
2345 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricComponents(Mat, PetscInt);
2346 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricWidth(Mat, PetscInt);
2347 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2348 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetColPerm(Mat, PetscBool *);
2349 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGPU(Mat, PetscBool);
2350 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetGPU(Mat, PetscBool *);
2351 
2352 /*E
2353     MatSTRUMPACKCompressionType - Compression used in the approximate sparse factorization solver `MATSOLVERSTRUMPACK`
2354 
2355     Values:
2356 +  `MAT_STRUMPACK_COMPRESSION_TYPE_NONE`          - no compression, direct solver
2357 .  `MAT_STRUMPACK_COMPRESSION_TYPE_HSS`           - hierarchically semi-separable
2358 .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR`           - block low rank
2359 .  `MAT_STRUMPACK_COMPRESSION_TYPE_HODLR`         - hierarchically off-diagonal low rank (requires ButterfyPACK support, configure with --download-butterflypack)
2360 .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR`     - hybrid of BLR and HODLR (requires ButterfyPACK support, configure with --download-butterflypack)
2361 .  `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)
2362 .  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS`      - lossless compression (requires ZFP support, configure with --download-zfp)
2363 -  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY`         - lossy compression (requires ZFP support, configure with --download-zfp)
2364 
2365     Level: intermediate
2366 
2367 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetCompression()`
2368 E*/
2369 typedef enum {
2370   MAT_STRUMPACK_COMPRESSION_TYPE_NONE,
2371   MAT_STRUMPACK_COMPRESSION_TYPE_HSS,
2372   MAT_STRUMPACK_COMPRESSION_TYPE_BLR,
2373   MAT_STRUMPACK_COMPRESSION_TYPE_HODLR,
2374   MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR,
2375   MAT_STRUMPACK_COMPRESSION_TYPE_ZFP_BLR_HODLR,
2376   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS,
2377   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY
2378 } MatSTRUMPACKCompressionType;
2379 
2380 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompression(Mat, MatSTRUMPACKCompressionType);
2381 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompression(Mat, MatSTRUMPACKCompressionType *);
2382 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompRelTol(Mat, PetscReal);
2383 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompRelTol(Mat, PetscReal *);
2384 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompAbsTol(Mat, PetscReal);
2385 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompAbsTol(Mat, PetscReal *);
2386 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompMinSepSize(Mat, PetscInt);
2387 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompMinSepSize(Mat, PetscInt *);
2388 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLeafSize(Mat, PetscInt);
2389 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLeafSize(Mat, PetscInt *);
2390 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLossyPrecision(Mat, PetscInt);
2391 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLossyPrecision(Mat, PetscInt *);
2392 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompButterflyLevels(Mat, PetscInt);
2393 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompButterflyLevels(Mat, PetscInt *);
2394 #endif
2395 
2396 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2397 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2398 PETSC_DEPRECATED_FUNCTION(3, 13, 0, "MatBindToCPU()", ) static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2399 {
2400   return MatBindToCPU(A, flg);
2401 }
2402 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2403 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);
2404 
2405 #ifdef PETSC_HAVE_CUDA
2406 /*E
2407     MatCUSPARSEStorageFormat - indicates the storage format for `MATAIJCUSPARSE` (GPU)
2408     matrices.
2409 
2410     Values:
2411 +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2412 .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2413 -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2414 
2415     Level: intermediate
2416 
2417 .seealso: [](ch_matrices), `MATAIJCUSPARSE`, `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2418 E*/
2419 
2420 typedef enum {
2421   MAT_CUSPARSE_CSR,
2422   MAT_CUSPARSE_ELL,
2423   MAT_CUSPARSE_HYB
2424 } MatCUSPARSEStorageFormat;
2425 
2426 /* these will be strings associated with enumerated type defined above */
2427 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2428 
2429 /*E
2430     MatCUSPARSEFormatOperation - indicates the operation of `MATAIJCUSPARSE` (GPU)
2431     matrices whose operation should use a particular storage format.
2432 
2433     Values:
2434 +   `MAT_CUSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2435 .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2436 .   `MAT_CUSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2437 -   `MAT_CUSPARSE_ALL`          - sets the storage format for all `MATAIJCUSPARSE` (GPU) matrices
2438 
2439     Level: intermediate
2440 
2441 .seealso: [](ch_matrices), `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2442 E*/
2443 typedef enum {
2444   MAT_CUSPARSE_MULT_DIAG,
2445   MAT_CUSPARSE_MULT_OFFDIAG,
2446   MAT_CUSPARSE_MULT,
2447   MAT_CUSPARSE_ALL
2448 } MatCUSPARSEFormatOperation;
2449 
2450 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2451 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2452 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2453 PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2454 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2455 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2456 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2457 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2458 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2459 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2460 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2461 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);
2462 
2463 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2464 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2465 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2466 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2467 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2468 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2469 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2470 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2471 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2472 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2473 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2474 PETSC_EXTERN PetscErrorCode MatDenseCUDASetPreallocation(Mat, PetscScalar *);
2475 
2476 PETSC_EXTERN PetscErrorCode MatCreateSeqSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2477 PETSC_EXTERN PetscErrorCode MatCreateSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2478 #endif
2479 
2480 #ifdef PETSC_HAVE_HIP
2481 /*E
2482     MatHIPSPARSEStorageFormat - indicates the storage format for `MATAIJHIPSPARSE` (GPU)
2483     matrices.
2484 
2485     Values:
2486 +   `MAT_HIPSPARSE_CSR` - Compressed Sparse Row
2487 .   `MAT_HIPSPARSE_ELL` - Ellpack
2488 -   `MAT_HIPSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format
2489 
2490     Level: intermediate
2491 
2492 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
2493 E*/
2494 
2495 typedef enum {
2496   MAT_HIPSPARSE_CSR,
2497   MAT_HIPSPARSE_ELL,
2498   MAT_HIPSPARSE_HYB
2499 } MatHIPSPARSEStorageFormat;
2500 
2501 /* these will be strings associated with enumerated type defined above */
2502 PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];
2503 
2504 /*E
2505     MatHIPSPARSEFormatOperation - indicates the operation of `MATAIJHIPSPARSE` (GPU)
2506     matrices whose operation should use a particular storage format.
2507 
2508     Values:
2509 +   `MAT_HIPSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2510 .   `MAT_HIPSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2511 .   `MAT_HIPSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2512 -   `MAT_HIPSPARSE_ALL`          - sets the storage format for all HIPSPARSE (GPU) matrices
2513 
2514     Level: intermediate
2515 
2516 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
2517 E*/
2518 typedef enum {
2519   MAT_HIPSPARSE_MULT_DIAG,
2520   MAT_HIPSPARSE_MULT_OFFDIAG,
2521   MAT_HIPSPARSE_MULT,
2522   MAT_HIPSPARSE_ALL
2523 } MatHIPSPARSEFormatOperation;
2524 
2525 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2526 PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2527 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
2528 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
2529 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2530 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2531 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
2532 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
2533 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
2534 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
2535 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
2536 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);
2537 
2538 PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2539 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2540 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
2541 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
2542 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
2543 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
2544 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
2545 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
2546 PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
2547 PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
2548 PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);
2549 PETSC_EXTERN PetscErrorCode MatDenseHIPSetPreallocation(Mat, PetscScalar *);
2550 PETSC_EXTERN PetscErrorCode MatCreateSeqSELLHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2551 PETSC_EXTERN PetscErrorCode MatCreateSELLHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2552 #endif
2553 
2554 #if defined(PETSC_HAVE_VIENNACL)
2555 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2556 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2557 #endif
2558 
2559 #if PetscDefined(HAVE_KOKKOS)
2560 PETSC_EXTERN PetscErrorCode MatCreateAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2561 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2562 #endif
2563 
2564 #if defined(PETSC_HAVE_FFTW)
2565 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2566 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2567 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2568 #endif
2569 
2570 #if defined(PETSC_HAVE_SCALAPACK)
2571 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2572 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2573 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2574 #endif
2575 
2576 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2577 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2578 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2579 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2580 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2581 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2582 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2583 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2584 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);
2585 
2586 PETSC_EXTERN PetscErrorCode MatFilter(Mat, PetscReal, PetscBool, PetscBool);
2587 PETSC_DEPRECATED_FUNCTION(3, 20, 0, "MatFilter()", ) static inline PetscErrorCode MatChop(Mat A, PetscReal tol)
2588 {
2589   return MatFilter(A, tol, PETSC_FALSE, PETSC_FALSE);
2590 }
2591 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);
2592 
2593 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);
2594 
2595 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);
2596 
2597 PETSC_EXTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2598 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);
2599 
2600 PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);
2601 
2602 PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, PetscInt, PetscInt[], Mat *);
2603 PETSC_EXTERN PetscErrorCode MatEliminateZeros(Mat, PetscBool);
2604 
2605 PETSC_EXTERN PetscErrorCode MatCreateDenseFromVecType(MPI_Comm, VecType, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar *, Mat *);
2606 
2607 PETSC_EXTERN PetscErrorCode MatSetHPL(Mat, int);
2608 #define PETSCBMHPL "hpl"
2609