xref: /petsc/include/petscmat.h (revision 67f7d742d70e61a8a21ffc5235261ec57ea3c5cd)
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 MatResetHash(Mat);
536 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
537 PETSC_EXTERN PetscErrorCode MatDestroy(Mat *);
538 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat, PetscObjectState *);
539 
540 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
541 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
542 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
543 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat, Mat *);
544 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat, PetscScalar *);
545 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat, const PetscScalar **);
546 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat, PetscInt, const PetscInt *, PetscScalar *);
547 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat, Mat);
548 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat, MatReuse, Mat *);
549 PETSC_EXTERN PetscErrorCode MatComputeVariableBlockEnvelope(Mat);
550 
551 PETSC_EXTERN PetscErrorCode MatSetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
552 PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat, IS, IS, const PetscScalar[], InsertMode);
553 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
554 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat, PetscInt, const PetscScalar[]);
555 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat, PetscInt, const PetscScalar[]);
556 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt[], const PetscScalar[]);
557 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat, PetscRandom);
558 
559 /*S
560    MatStencil - Data structure (C struct) for storing information about rows and
561    columns of a matrix as indexed on an associated grid. These are arguments to `MatSetStencil()` and `MatSetBlockStencil()`
562 
563    Level: beginner
564 
565    Notes:
566    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).
567    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.
568 
569    For stencil access to vectors see `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`.
570 
571    For staggered grids, see `DMStagStencil`
572 
573    Fortran Note:
574    See `MatSetValuesStencil()` for details.
575 
576 .seealso: [](ch_matrices), `Mat`, `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`,
577           `DMStagStencil`
578 S*/
579 typedef struct {
580   PetscInt k, j, i, c;
581 } MatStencil;
582 
583 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
584 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
585 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat, PetscInt, const PetscInt[], const PetscInt[], PetscInt);
586 
587 /*E
588     MatAssemblyType - Indicates if the process of setting values into the matrix is complete, and the matrix is ready for use
589 
590     Values:
591 +   `MAT_FLUSH_ASSEMBLY` - you will continue to put values into the matrix
592 -   `MAT_FINAL_ASSEMBLY` - you wish to use the matrix with the values currently inserted
593 
594     Level: beginner
595 
596 .seealso: [](ch_matrices), `Mat`, `MatSetValues`, `MatAssemblyBegin()`, `MatAssemblyEnd()`
597 E*/
598 typedef enum {
599   MAT_FLUSH_ASSEMBLY = 1,
600   MAT_FINAL_ASSEMBLY = 0
601 } MatAssemblyType;
602 
603 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat, MatAssemblyType);
604 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat, MatAssemblyType);
605 PETSC_EXTERN PetscErrorCode MatAssembled(Mat, PetscBool *);
606 
607 /*E
608    MatOption - Options that may be set for a matrix that indicate properties of the matrix or affect its behavior or storage
609 
610    Level: beginner
611 
612    Note:
613    See `MatSetOption()` for the use of the options
614 
615    Developer Note:
616    Entries that are negative need not be called collectively by all processes.
617 
618 .seealso: [](ch_matrices), `Mat`, `MatSetOption()`
619 E*/
620 typedef enum {
621   MAT_OPTION_MIN                  = -3,
622   MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
623   MAT_ROW_ORIENTED                = -1,
624   MAT_SYMMETRIC                   = 1,
625   MAT_STRUCTURALLY_SYMMETRIC      = 2,
626   MAT_FORCE_DIAGONAL_ENTRIES      = 3,
627   MAT_IGNORE_OFF_PROC_ENTRIES     = 4,
628   MAT_USE_HASH_TABLE              = 5,
629   MAT_KEEP_NONZERO_PATTERN        = 6,
630   MAT_IGNORE_ZERO_ENTRIES         = 7,
631   MAT_USE_INODES                  = 8,
632   MAT_HERMITIAN                   = 9,
633   MAT_SYMMETRY_ETERNAL            = 10,
634   MAT_NEW_NONZERO_LOCATION_ERR    = 11,
635   MAT_IGNORE_LOWER_TRIANGULAR     = 12,
636   MAT_ERROR_LOWER_TRIANGULAR      = 13,
637   MAT_GETROW_UPPERTRIANGULAR      = 14,
638   MAT_SPD                         = 15,
639   MAT_NO_OFF_PROC_ZERO_ROWS       = 16,
640   MAT_NO_OFF_PROC_ENTRIES         = 17,
641   MAT_NEW_NONZERO_LOCATIONS       = 18,
642   MAT_NEW_NONZERO_ALLOCATION_ERR  = 19,
643   MAT_SUBSET_OFF_PROC_ENTRIES     = 20,
644   MAT_SUBMAT_SINGLEIS             = 21,
645   MAT_STRUCTURE_ONLY              = 22,
646   MAT_SORTED_FULL                 = 23,
647   MAT_FORM_EXPLICIT_TRANSPOSE     = 24,
648   MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
649   MAT_SPD_ETERNAL                 = 26,
650   MAT_OPTION_MAX                  = 27
651 } MatOption;
652 
653 PETSC_EXTERN const char *const *MatOptions;
654 PETSC_EXTERN PetscErrorCode     MatSetOption(Mat, MatOption, PetscBool);
655 PETSC_EXTERN PetscErrorCode     MatGetOption(Mat, MatOption, PetscBool *);
656 PETSC_EXTERN PetscErrorCode     MatPropagateSymmetryOptions(Mat, Mat);
657 PETSC_EXTERN PetscErrorCode     MatGetType(Mat, MatType *);
658 
659 PETSC_EXTERN PetscErrorCode    MatGetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
660 PETSC_EXTERN PetscErrorCode    MatGetRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
661 PETSC_EXTERN PetscErrorCode    MatRestoreRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
662 PETSC_EXTERN PetscErrorCode    MatGetRowUpperTriangular(Mat);
663 PETSC_EXTERN PetscErrorCode    MatRestoreRowUpperTriangular(Mat);
664 PETSC_EXTERN PetscErrorCode    MatGetColumnVector(Mat, Vec, PetscInt);
665 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArray(Mat, PetscScalar *[]);
666 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayRead(Mat, const PetscScalar *[]);
667 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayWrite(Mat, PetscScalar *[]);
668 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArray(Mat, PetscScalar *[]);
669 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayRead(Mat, const PetscScalar *[]);
670 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayWrite(Mat, PetscScalar *[]);
671 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetMaxRowNonzeros(Mat, PetscInt *);
672 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetValuesLocalFast(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
673 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetType(Mat, MatType);
674 PETSC_EXTERN PetscErrorCode    MatSeqAIJKron(Mat, Mat, MatReuse, Mat *);
675 PETSC_EXTERN PetscErrorCode    MatSeqAIJRegister(const char[], PetscErrorCode (*)(Mat, MatType, MatReuse, Mat *));
676 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
677 PETSC_EXTERN PetscErrorCode    MatSeqBAIJGetArray(Mat, PetscScalar *[]);
678 PETSC_EXTERN PetscErrorCode    MatSeqBAIJRestoreArray(Mat, PetscScalar *[]);
679 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJGetArray(Mat, PetscScalar *[]);
680 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJRestoreArray(Mat, PetscScalar *[]);
681 PETSC_EXTERN PetscErrorCode    MatDenseGetArray(Mat, PetscScalar *[]);
682 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArray(Mat, PetscScalar *[]);
683 PETSC_EXTERN PetscErrorCode    MatDensePlaceArray(Mat, const PetscScalar[]);
684 PETSC_EXTERN PetscErrorCode    MatDenseReplaceArray(Mat, const PetscScalar[]);
685 PETSC_EXTERN PetscErrorCode    MatDenseResetArray(Mat);
686 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayRead(Mat, const PetscScalar *[]);
687 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayRead(Mat, const PetscScalar *[]);
688 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWrite(Mat, PetscScalar *[]);
689 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWrite(Mat, PetscScalar *[]);
690 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayAndMemType(Mat, PetscScalar *[], PetscMemType *);
691 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayAndMemType(Mat, PetscScalar *[]);
692 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayReadAndMemType(Mat, const PetscScalar *[], PetscMemType *);
693 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayReadAndMemType(Mat, const PetscScalar *[]);
694 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWriteAndMemType(Mat, PetscScalar *[], PetscMemType *);
695 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWriteAndMemType(Mat, PetscScalar *[]);
696 PETSC_EXTERN PetscErrorCode    MatGetBlockSize(Mat, PetscInt *);
697 PETSC_EXTERN PetscErrorCode    MatSetBlockSize(Mat, PetscInt);
698 PETSC_EXTERN PetscErrorCode    MatGetBlockSizes(Mat, PetscInt *, PetscInt *);
699 PETSC_EXTERN PetscErrorCode    MatSetBlockSizes(Mat, PetscInt, PetscInt);
700 PETSC_EXTERN PetscErrorCode    MatSetBlockSizesFromMats(Mat, Mat, Mat);
701 PETSC_EXTERN PetscErrorCode    MatSetVariableBlockSizes(Mat, PetscInt, const PetscInt[]);
702 PETSC_EXTERN PetscErrorCode    MatGetVariableBlockSizes(Mat, PetscInt *, const PetscInt *[]);
703 
704 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat, PetscInt, PetscScalar *[]);
705 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat, PetscScalar *[]);
706 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat, PetscInt, Vec *);
707 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat, PetscInt, Vec *);
708 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat, PetscInt, Vec *);
709 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat, PetscInt, Vec *);
710 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat, PetscInt, Vec *);
711 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat, PetscInt, Vec *);
712 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
713 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat, Mat *);
714 
715 PETSC_EXTERN PetscErrorCode MatMult(Mat, Vec, Vec);
716 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat, Vec, Vec);
717 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat, Vec, Vec, Vec);
718 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat, Vec, Vec);
719 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat, Vec, Vec);
720 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat, Mat, PetscReal, PetscBool *);
721 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat, Mat, PetscReal, PetscBool *);
722 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat, Vec, Vec, Vec);
723 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat, Vec, Vec, Vec);
724 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat, Mat, Mat);
725 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat, Mat, Mat);
726 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat, Mat, Mat);
727 PETSC_EXTERN PetscErrorCode MatResidual(Mat, Vec, Vec, Vec);
728 
729 /*E
730   MatDuplicateOption - Indicates if a duplicated sparse matrix should have
731   its numerical values copied over or just its nonzero structure.
732 
733   Values:
734 + `MAT_DO_NOT_COPY_VALUES`    - Create a matrix using the same nonzero pattern as the original matrix,
735                                 with zeros for the numerical values
736 . `MAT_COPY_VALUES`           - Create a matrix with the same nonzero pattern as the original matrix
737                                 and with the same numerical values.
738 - `MAT_SHARE_NONZERO_PATTERN` - Create a matrix that shares the nonzero structure with the previous matrix
739                                 and does not copy it, using zeros for the numerical values. The parent and
740                                 child matrices will share their index (i and j) arrays, and you cannot
741                                 insert new nonzero entries into either matrix
742 
743   Level: beginner
744 
745   Note:
746   Many matrix types (including `MATSEQAIJ`) do not support the `MAT_SHARE_NONZERO_PATTERN` optimization; in
747   this case the behavior is as if `MAT_DO_NOT_COPY_VALUES` has been specified.
748 
749 .seealso: [](ch_matrices), `Mat`, `MatDuplicate()`
750 E*/
751 typedef enum {
752   MAT_DO_NOT_COPY_VALUES,
753   MAT_COPY_VALUES,
754   MAT_SHARE_NONZERO_PATTERN
755 } MatDuplicateOption;
756 
757 PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
758 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);
759 
760 PETSC_EXTERN PetscErrorCode MatCopy(Mat, Mat, MatStructure);
761 PETSC_EXTERN PetscErrorCode MatView(Mat, PetscViewer);
762 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat, PetscReal, PetscBool *);
763 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat, PetscBool *);
764 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat, PetscReal, PetscBool *);
765 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat, PetscBool *, PetscBool *);
766 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat, PetscBool *, PetscBool *);
767 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat, PetscBool *, PetscBool *);
768 PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat, PetscBool *, PetscBool *);
769 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat, PetscBool *, PetscInt *);
770 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
771 
772 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
773 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
774 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
775 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
776 
777 /*S
778    MatInfo - Context of matrix information, used with `MatGetInfo()`
779 
780    Level: intermediate
781 
782    Fortran Note:
783    Information is stored as a double-precision array of dimension `MAT_INFO_SIZE`
784 
785 .seealso: [](ch_matrices), `Mat`, `MatGetInfo()`, `MatInfoType`
786 S*/
787 typedef struct {
788   PetscLogDouble block_size;                          /* block size */
789   PetscLogDouble nz_allocated, nz_used, nz_unneeded;  /* number of nonzeros */
790   PetscLogDouble memory;                              /* memory allocated */
791   PetscLogDouble assemblies;                          /* number of matrix assemblies called */
792   PetscLogDouble mallocs;                             /* number of mallocs during MatSetValues() */
793   PetscLogDouble fill_ratio_given, fill_ratio_needed; /* fill ratio for LU/ILU */
794   PetscLogDouble factor_mallocs;                      /* number of mallocs during factorization */
795 } MatInfo;
796 
797 /*E
798     MatInfoType - Indicates if you want information about the local part of the matrix,
799     the entire parallel matrix or the maximum over all the local parts.
800 
801     Values:
802 +   `MAT_LOCAL`      - values for each MPI process part of the matrix
803 .   `MAT_GLOBAL_MAX` - maximum of each value over all MPI processes
804 -   `MAT_GLOBAL_SUM` - sum of each value over all MPI processes
805 
806     Level: beginner
807 
808 .seealso: [](ch_matrices), `MatGetInfo()`, `MatInfo`
809 E*/
810 typedef enum {
811   MAT_LOCAL      = 1,
812   MAT_GLOBAL_MAX = 2,
813   MAT_GLOBAL_SUM = 3
814 } MatInfoType;
815 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat, MatInfoType, MatInfo *);
816 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat, Vec);
817 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat, Vec, PetscInt[]);
818 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat, Vec, PetscInt[]);
819 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat, Vec, PetscInt[]);
820 PETSC_EXTERN PetscErrorCode MatGetRowSumAbs(Mat, Vec);
821 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat, Vec, PetscInt[]);
822 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat, Vec);
823 PETSC_EXTERN PetscErrorCode MatTranspose(Mat, MatReuse, Mat *);
824 PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat, Mat *);
825 PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat, Mat);
826 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat, MatReuse, Mat *);
827 PETSC_EXTERN PetscErrorCode MatPermute(Mat, IS, IS, Mat *);
828 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat, Vec, Vec);
829 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat, Vec, InsertMode);
830 
831 PETSC_EXTERN PetscErrorCode MatEqual(Mat, Mat, PetscBool *);
832 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat, Mat, PetscInt, PetscBool *);
833 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat, Mat, PetscInt, PetscBool *);
834 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
835 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
836 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
837 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
838 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
839 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
840 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
841 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
842 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
843 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat, PetscInt, PetscBool *);
844 
845 PETSC_EXTERN PetscErrorCode MatNorm(Mat, NormType, PetscReal *);
846 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat, NormType, PetscReal *);
847 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat, PetscScalar *);
848 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat, PetscReal *);
849 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat, PetscReal *);
850 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat, PetscScalar *);
851 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat, PetscReal *);
852 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat, PetscReal *);
853 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat, PetscInt, PetscReal *);
854 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
855 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
856 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
857 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat, IS, PetscScalar, Vec, Vec);
858 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
859 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
860 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
861 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat, IS, PetscScalar, Vec, Vec);
862 
863 PETSC_EXTERN PetscErrorCode MatGetSize(Mat, PetscInt *, PetscInt *);
864 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat, PetscInt *, PetscInt *);
865 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat, PetscInt *, PetscInt *);
866 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat, const PetscInt **);
867 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat, PetscInt *, PetscInt *);
868 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat, const PetscInt **);
869 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat, IS *, IS *);
870 
871 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
872 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[])
873 {
874   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
875 }
876 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
877 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[])
878 {
879   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
880 }
881 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
882 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
883 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
884 PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatrix()", ) static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat)
885 {
886   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
887 }
888 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
889 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
890 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
891 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);
892 
893 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm, Mat, PetscInt, PetscInt, MatReuse, Mat *);
894 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm, Mat, PetscInt, PetscInt, Mat *);
895 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat, Mat);
896 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat, MatReuse, Mat *);
897 PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat, Mat *);
898 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
899 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat, MatReuse, IS *, Mat *);
900 PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat, PetscCount *);
901 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat, Mat, MatReuse, IS *, IS *, Mat *);
902 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *, const PetscInt *[]);
903 
904 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
905 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat, PetscInt n, IS is[], PetscInt ov);
906 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);
907 
908 PETSC_EXTERN PetscErrorCode MatMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
909 
910 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
911 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
912 
913 PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
914 PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);
915 
916 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
917 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);
918 
919 PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
920 PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);
921 
922 PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
923 PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);
924 
925 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping, ISLocalToGlobalMapping);
926 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
927 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat, PetscLayout *, PetscLayout *);
928 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat, PetscLayout, PetscLayout);
929 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
930 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
931 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
932 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
933 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
934 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
935 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
936 
937 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
938 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);
939 
940 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat, Vec, Vec);
941 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat, Vec, Vec, Vec);
942 PETSC_EXTERN PetscErrorCode MatRestrict(Mat, Vec, Vec);
943 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat, Mat, Mat *);
944 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat, Mat, Mat, Mat *);
945 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat, Mat, Mat *);
946 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat, Vec *, Vec *);
947 PETSC_DEPRECATED_FUNCTION(3, 6, 0, "MatCreateVecs()", ) static inline PetscErrorCode MatGetVecs(Mat mat, Vec *x, Vec *y)
948 {
949   return MatCreateVecs(mat, x, y);
950 }
951 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat, PetscInt, MPI_Comm, MatReuse, Mat *);
952 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat, MPI_Comm, MatReuse, Mat *);
953 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat, IS *);
954 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat, IS *);
955 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm, Mat, PetscInt, MatReuse, Mat *);
956 
957 PETSC_EXTERN PetscErrorCode MatCopyHashToXAIJ(Mat A, Mat B);
958 /*@C
959    MatSetValue - Set a single entry into a matrix.
960 
961    Not Collective
962 
963    Input Parameters:
964 +  mat  - the matrix
965 .  i    - the row location of the entry
966 .  j    - the column location of the entry
967 .  va   - the value to insert
968 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
969 
970    Level: beginner
971 
972    Notes:
973    This value may be cached, so `MatAssemblyBegin()` and `MatAssemblyEnd()`
974    MUST be called after all calls to `MatSetValue()` have been completed.
975 
976    For efficiency one should use `MatSetValues()` and set several values simultaneously.
977 
978 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `InsertMode`, `MatGetValue()`, `MatSetValues()`,
979           `MatSetValueLocal()`, `MatSetValuesLocal()`
980 @*/
981 static inline PetscErrorCode MatSetValue(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
982 {
983   return MatSetValues(mat, 1, &i, 1, &j, &va, mode);
984 }
985 
986 /*@C
987    MatGetValue - Gets a single value from a matrix
988 
989    Not Collective; can only return a value owned by the given process
990 
991    Input Parameters:
992 +  mat - the matrix
993 .  row - the row location of the entry
994 -  col - the column location of the entry
995 
996    Output Parameter:
997 .  va - the value
998 
999    Level: advanced
1000 
1001    Notes:
1002    The matrix must have been assembled with `MatAssemblyBegin()` and `MatAssemblyEnd()` before this call
1003 
1004    For efficiency one should use `MatGetValues()` and get several values simultaneously.
1005 
1006    See notes for `MatGetValues()`.
1007 
1008 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
1009 @*/
1010 static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
1011 {
1012   return MatGetValues(mat, 1, &row, 1, &col, va);
1013 }
1014 
1015 /*@C
1016    MatSetValueLocal - Inserts or adds a single value into a matrix, using a local numbering of the nodes.
1017 
1018    Not Collective
1019 
1020    Input Parameters:
1021 +  mat  - the matrix
1022 .  i    - the row location of the entry
1023 .  j    - the column location of the entry
1024 .  va   - the value to insert
1025 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
1026 
1027    Level: intermediate
1028 
1029    Notes:
1030    For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.
1031 
1032    See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.
1033 
1034 .seealso: [](ch_matrices), `MatSetValue()`, `MatSetValuesLocal()`
1035 @*/
1036 static inline PetscErrorCode MatSetValueLocal(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
1037 {
1038   return MatSetValuesLocal(mat, 1, &i, 1, &j, &va, mode);
1039 }
1040 
1041 /*MC
1042    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
1043    row in a matrix providing the data that one can use to correctly preallocate the matrix.
1044 
1045    Synopsis:
1046    #include <petscmat.h>
1047    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
1048 
1049    Collective
1050 
1051    Input Parameters:
1052 +  comm  - the communicator that will share the eventually allocated matrix
1053 .  nrows - the number of LOCAL rows in the matrix
1054 -  ncols - the number of LOCAL columns in the matrix
1055 
1056    Output Parameters:
1057 +  dnz - the array that will be passed to the matrix preallocation routines
1058 -  onz - the other array passed to the matrix preallocation routines
1059 
1060    Level: deprecated (since v3.19)
1061 
1062    Notes:
1063    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1064    the use of this routine
1065 
1066    This is a macro that handles its own error checking, it does not return an error code.
1067 
1068    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1069 
1070    Developer Note:
1071    This is a MACRO, not a function, because it has a leading { that is closed by `PetscPreallocateFinalize()`.
1072 
1073 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1074           `MatPreallocateSymmetricSetLocalBlock()`
1075 M*/
1076 #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
1077   do { \
1078     PetscInt              __nrows = (nrows), __ncols = (ncols), __rstart, __end = 0; \
1079     PetscInt PETSC_UNUSED __start; \
1080     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
1081     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
1082     __start = __end - __ncols; \
1083     (void)__start; \
1084     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
1085   __rstart -= __nrows
1086 
1087 #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateBegin()", ) MatPreallocateBegin(__VA_ARGS__)
1088 
1089 /*MC
1090    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1091    inserted using a local number of the rows and columns
1092 
1093    Synopsis:
1094    #include <petscmat.h>
1095    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1096 
1097    Not Collective
1098 
1099    Input Parameters:
1100 +  map   - the row mapping from local numbering to global numbering
1101 .  nrows - the number of rows indicated
1102 .  rows  - the indices of the rows
1103 .  cmap  - the column mapping from local to global numbering
1104 .  ncols - the number of columns in the matrix
1105 .  cols  - the columns indicated
1106 .  dnz   - the array that will be passed to the matrix preallocation routines
1107 -  onz   - the other array passed to the matrix preallocation routines
1108 
1109    Level: deprecated (since v3.19)
1110 
1111    Notes:
1112    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1113    the use of this routine
1114 
1115    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1116 
1117 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1118           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
1119 M*/
1120 #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1121   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));)
1122 
1123 /*MC
1124    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1125    inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
1126 
1127    Synopsis:
1128    #include <petscmat.h>
1129    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1130 
1131    Not Collective
1132 
1133    Input Parameters:
1134 +  map   - the row mapping from local numbering to global numbering
1135 .  nrows - the number of rows indicated
1136 .  rows  - the indices of the rows (these values are mapped to the global values)
1137 .  cmap  - the column mapping from local to global numbering
1138 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1139 .  cols  - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1140 .  dnz   - the array that will be passed to the matrix preallocation routines
1141 -  onz   - the other array passed to the matrix preallocation routines
1142 
1143    Level: deprecated (since v3.19)
1144 
1145    Notes:
1146    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1147    the use of this routine
1148 
1149    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1150 
1151 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1152           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1153 M*/
1154 #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1155   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));)
1156 
1157 /*MC
1158    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1159    inserted using a local number of the rows and columns
1160 
1161    Synopsis:
1162    #include <petscmat.h>
1163    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1164 
1165    Not Collective
1166 
1167    Input Parameters:
1168 +  map   - the row mapping from local numbering to global numbering
1169 .  nrows - the number of rows indicated
1170 .  rows  - the indices of the rows
1171 .  cmap  - the column mapping from local to global numbering
1172 .  ncols - the number of columns in the matrix
1173 .  cols  - the columns indicated
1174 .  dnz   - the array that will be passed to the matrix preallocation routines
1175 -  onz   - the other array passed to the matrix preallocation routines
1176 
1177    Level: deprecated (since v3.19)
1178 
1179    Notes:
1180    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1181    the use of this routine
1182 
1183    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1184 
1185 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1186           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1187 M*/
1188 #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1189   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));)
1190 
1191 /*MC
1192    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1193    inserted using a local number of the rows and columns
1194 
1195    Synopsis:
1196    #include <petscmat.h>
1197    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1198 
1199    Not Collective
1200 
1201    Input Parameters:
1202 +  map   - the mapping between local numbering and global numbering
1203 .  nrows - the number of rows indicated
1204 .  rows  - the indices of the rows
1205 .  ncols - the number of columns in the matrix
1206 .  cols  - the columns indicated
1207 .  dnz   - the array that will be passed to the matrix preallocation routines
1208 -  onz   - the other array passed to the matrix preallocation routines
1209 
1210    Level: deprecated (since v3.19)
1211 
1212    Notes:
1213    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1214    the use of this routine
1215 
1216    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1217 
1218 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`
1219           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1220 M*/
1221 #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1222   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));)
1223 
1224 /*MC
1225    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1226    inserted using a local number of the rows and columns
1227 
1228    Synopsis:
1229    #include <petscmat.h>
1230    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1231 
1232    Not Collective
1233 
1234    Input Parameters:
1235 +  row   - the row
1236 .  ncols - the number of columns in the matrix
1237 -  cols  - the columns indicated
1238 
1239    Output Parameters:
1240 +  dnz - the array that will be passed to the matrix preallocation routines
1241 -  onz - the other array passed to the matrix preallocation routines
1242 
1243    Level: deprecated (since v3.19)
1244 
1245    Notes:
1246    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1247    the use of this routine
1248 
1249    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1250 
1251    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().
1252 
1253 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1254           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1255 M*/
1256 #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1257   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) { \
1258     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1259     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1260   })
1261 
1262 /*MC
1263    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1264    inserted using a local number of the rows and columns
1265 
1266    Synopsis:
1267    #include <petscmat.h>
1268    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1269 
1270    Not Collective
1271 
1272    Input Parameters:
1273 +  nrows - the number of rows indicated
1274 .  rows  - the indices of the rows
1275 .  ncols - the number of columns in the matrix
1276 .  cols  - the columns indicated
1277 .  dnz   - the array that will be passed to the matrix preallocation routines
1278 -  onz   - the other array passed to the matrix preallocation routines
1279 
1280    Level: deprecated (since v3.19)
1281 
1282    Notes:
1283    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1284    the use of this routine
1285 
1286    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1287 
1288    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().
1289 
1290 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1291           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1292 M*/
1293 #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1294   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
1295     if (cols[__i] >= __end) onz[row - __rstart]++; \
1296     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1297   })
1298 
1299 /*MC
1300    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1301 
1302    Synopsis:
1303    #include <petscmat.h>
1304    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1305 
1306    Not Collective
1307 
1308    Input Parameters:
1309 +  A     - matrix
1310 .  row   - row where values exist (must be local to this process)
1311 .  ncols - number of columns
1312 .  cols  - columns with nonzeros
1313 .  dnz   - the array that will be passed to the matrix preallocation routines
1314 -  onz   - the other array passed to the matrix preallocation routines
1315 
1316    Level: deprecated (since v3.19)
1317 
1318    Notes:
1319    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1320    the use of this routine
1321 
1322    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1323 
1324    Developer Note:
1325    This is a MACRO, not a function, because it uses a bunch of variables private to the MatPreallocation.... routines.
1326 
1327 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1328           `MatPreallocateSymmetricSetLocalBlock()`
1329 M*/
1330 #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))
1331 
1332 /*MC
1333    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1334    row in a matrix providing the data that one can use to correctly preallocate the matrix.
1335 
1336    Synopsis:
1337    #include <petscmat.h>
1338    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)
1339 
1340    Collective
1341 
1342    Input Parameters:
1343 +  dnz - the array that was be passed to the matrix preallocation routines
1344 -  onz - the other array passed to the matrix preallocation routines
1345 
1346    Level: deprecated (since v3.19)
1347 
1348    Notes:
1349    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1350    the use of this routine
1351 
1352    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1353 
1354    Developer Note:
1355    This is a MACRO, not a function, because it closes the { started in MatPreallocateBegin().
1356 
1357 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1358           `MatPreallocateSymmetricSetLocalBlock()`
1359 M*/
1360 #define MatPreallocateEnd(dnz, onz) \
1361   PetscCall(PetscFree2(dnz, onz)); \
1362   } \
1363   while (0)
1364 
1365 #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateEnd()", ) MatPreallocateEnd(__VA_ARGS__)
1366 
1367 /* Routines unique to particular data structures */
1368 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, void *);
1369 
1370 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1371 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);
1372 
1373 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1374 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1375 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1376 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1377 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1378 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscInt, PetscBool);
1379 
1380 #define MAT_SKIP_ALLOCATION -4
1381 
1382 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1383 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1384 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1385 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);
1386 
1387 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1388 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1389 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1390 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1391 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1392 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1393 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1394 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1395 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1396 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1397 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1398 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1399 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1400 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1401 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);
1402 
1403 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1404 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1405 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatDenseSetLDA()", ) static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
1406 {
1407   return MatDenseSetLDA(A, lda);
1408 }
1409 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);
1410 
1411 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1412 
1413 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1414 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1415 
1416 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1417 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1418 /*
1419   These routines are not usually accessed directly, rather solving is
1420   done through the KSP and PC interfaces.
1421 */
1422 
1423 /*J
1424    MatOrderingType - String with the name of a PETSc matrix ordering. These orderings are most commonly used
1425    to reduce fill in sparse factorizations.
1426 
1427    Level: beginner
1428 
1429    Notes:
1430    If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and instead the external factorization solver package called utilizes one
1431    of its own.
1432 
1433    There is no `MatOrdering` object, the ordering is obtained directly from the matrix with `MatGetOrdering()`
1434 
1435    Developer Note:
1436    This API should be converted to an API similar to those for `MatColoring` and `MatPartitioning`
1437 
1438 .seealso: [](ch_matrices), [](sec_graph), `MatGetFactor()`, `MatGetOrdering()`, `MatColoringType`, `MatPartitioningType`, `MatCoarsenType`, `MatCoarsenType`,
1439           `PCFactorSetOrderingType()`
1440 J*/
1441 typedef const char *MatOrderingType;
1442 #define MATORDERINGNATURAL       "natural"
1443 #define MATORDERINGND            "nd"
1444 #define MATORDERING1WD           "1wd"
1445 #define MATORDERINGRCM           "rcm"
1446 #define MATORDERINGQMD           "qmd"
1447 #define MATORDERINGROWLENGTH     "rowlength"
1448 #define MATORDERINGWBM           "wbm"
1449 #define MATORDERINGSPECTRAL      "spectral"
1450 #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1451 #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1452 #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 */
1453 #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */
1454 
1455 PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1456 PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1457 PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1458 PETSC_EXTERN PetscFunctionList MatOrderingList;
1459 
1460 #include "petscmatcoarsen.h"
1461 
1462 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1463 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);
1464 
1465 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);
1466 
1467 /*S
1468    MatFactorShiftType - Type of numeric shift used for factorizations
1469 
1470    Values:
1471 +  `MAT_SHIFT_NONE`              - do not shift the matrix diagonal entries
1472 .  `MAT_SHIFT_NONZERO`           - shift the entries to be non-zero
1473 .  `MAT_SHIFT_POSITIVE_DEFINITE` - shift the entries to force the factorization to be positive definite
1474 -  `MAT_SHIFT_INBLOCKS`          - only shift the factors inside the small dense diagonal blocks of the matrix, for example with `MATBAIJ`
1475 
1476    Level: intermediate
1477 
1478 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `PCFactorSetShiftType()`
1479 S*/
1480 typedef enum {
1481   MAT_SHIFT_NONE,
1482   MAT_SHIFT_NONZERO,
1483   MAT_SHIFT_POSITIVE_DEFINITE,
1484   MAT_SHIFT_INBLOCKS
1485 } MatFactorShiftType;
1486 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1487 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1488 
1489 /*S
1490     MatFactorError - indicates what type of error was generated in a matrix factorization
1491 
1492     Values:
1493 +   `MAT_FACTOR_NOERROR`           - there was no error during the factorization
1494 .   `MAT_FACTOR_STRUCT_ZEROPIVOT`  - there was a missing entry in a diagonal location of the matrix
1495 .   `MAT_FACTOR_NUMERIC_ZEROPIVOT` - there was a (near) zero pivot during the factorization
1496 .   `MAT_FACTOR_OUTMEMORY`         - the factorization has run out of memory
1497 -   `MAT_FACTOR_OTHER`             - some other error has occurred.
1498 
1499     Level: intermediate
1500 
1501     Note:
1502     When a factorization is done in a preconditioner `PC` the error may be propagated up to a `PCFailedReason` or a `KSPConvergedReason`
1503 
1504 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `MatFactorGetError()`, `MatFactorGetErrorZeroPivot()`, `MatFactorClearError()`,
1505           `PCFailedReason`, `PCGetFailedReason()`, `KSPConvergedReason`
1506 S*/
1507 typedef enum {
1508   MAT_FACTOR_NOERROR,
1509   MAT_FACTOR_STRUCT_ZEROPIVOT,
1510   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1511   MAT_FACTOR_OUTMEMORY,
1512   MAT_FACTOR_OTHER
1513 } MatFactorError;
1514 
1515 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1516 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1517 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);
1518 
1519 /*S
1520    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1521 
1522    Level: developer
1523 
1524    Note:
1525    You can use `MatFactorInfoInitialize()` to set default values.
1526 
1527    Fortran Note:
1528    The data is available in a double precision arrays of size `MAT_FACTORINFO_SIZE`
1529 
1530 .seealso: [](ch_matrices), `Mat`, `MatInfo`, `MatGetFactor()`, `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`,
1531           `MatICCFactorSymbolic()`, `MatICCFactor()`, `MatFactorInfoInitialize()`
1532 S*/
1533 typedef struct {
1534   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1535   PetscReal usedt;
1536   PetscReal dt;            /* drop tolerance */
1537   PetscReal dtcol;         /* tolerance for pivoting */
1538   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1539   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1540   PetscReal levels;        /* ICC/ILU(levels) */
1541   PetscReal pivotinblocks; /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1542                                    factorization may be faster if do not pivot */
1543   PetscReal zeropivot;     /* pivot is called zero if less than this */
1544   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1545   PetscReal shiftamount;   /* how large the shift is */
1546 } MatFactorInfo;
1547 
1548 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1549 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1550 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1551 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1552 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1553 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1554 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1555 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1556 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1557 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1558 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1559 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1560 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1561 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1562 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1563 PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1564 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1565 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1566 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1567 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1568 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1569 PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1570 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1571 
1572 typedef enum {
1573   MAT_FACTOR_SCHUR_UNFACTORED,
1574   MAT_FACTOR_SCHUR_FACTORED,
1575   MAT_FACTOR_SCHUR_INVERTED
1576 } MatFactorSchurStatus;
1577 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1578 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1579 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1580 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1581 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1582 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1583 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1584 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1585 
1586 PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1587 /*E
1588    MatSORType - What type of (S)SOR to perform
1589 
1590    Values:
1591 +  `SOR_FORWARD_SWEEP`         - do a sweep from the first row of the matrix to the last
1592 .  `SOR_BACKWARD_SWEEP`        - do a sweep from the last row to the first
1593 .  `SOR_SYMMETRIC_SWEEP`       - do a sweep from the first row to the last and then back to the first
1594 .  `SOR_LOCAL_FORWARD_SWEEP`   - each MPI process does its own forward sweep with no communication
1595 .  `SOR_LOCAL_BACKWARD_SWEEP`  - each MPI process does its own backward sweep with no communication
1596 .  `SOR_LOCAL_SYMMETRIC_SWEEP` - each MPI process does its own symmetric sweep with no communication
1597 .  `SOR_ZERO_INITIAL_GUESS`    - indicates the initial solution is zero so the sweep can avoid unneeded computation
1598 .  `SOR_EISENSTAT`             - apply the Eisentat application of SOR, see `PCEISENSTAT`
1599 .  `SOR_APPLY_UPPER`           - multiply by the upper triangular portion of the matrix
1600 -  `SOR_APPLY_LOWER`           - multiply by the lower triangular portion of the matrix
1601 
1602    Level: beginner
1603 
1604    Note:
1605    These may be bitwise ORd together
1606 
1607    Developer Note:
1608    Since `MatSORType` may be bitwise ORd together, so do not change the numerical values below
1609 
1610 .seealso: [](ch_matrices), `MatSOR()`
1611 E*/
1612 typedef enum {
1613   SOR_FORWARD_SWEEP         = 1,
1614   SOR_BACKWARD_SWEEP        = 2,
1615   SOR_SYMMETRIC_SWEEP       = 3,
1616   SOR_LOCAL_FORWARD_SWEEP   = 4,
1617   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1618   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1619   SOR_ZERO_INITIAL_GUESS    = 16,
1620   SOR_EISENSTAT             = 32,
1621   SOR_APPLY_UPPER           = 64,
1622   SOR_APPLY_LOWER           = 128
1623 } MatSORType;
1624 PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);
1625 
1626 /*S
1627    MatColoring - Object for managing the coloring of matrices.
1628 
1629    Level: beginner
1630 
1631    Notes:
1632    Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1633    matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).
1634 
1635    Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1636    same object can also be used to efficiently convert data created by Automatic Differentiation tools to PETSc sparse matrices.
1637 
1638 .seealso: [](ch_matrices), [](sec_graph), `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`,
1639           `MatPartitioning`, `MatColoringType`, `MatPartitioningType`, `MatOrderingType`, `MatColoringSetWeightType()`,
1640           `MatColoringSetWeights()`, `MatCoarsenType`, `MatCoarsen`
1641 S*/
1642 typedef struct _p_MatColoring *MatColoring;
1643 
1644 /*J
1645    MatColoringType - String with the name of a PETSc matrix coloring
1646 
1647    Level: beginner
1648 
1649 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatFDColoringCreate()`, `MatColoringSetType()`, `MatColoring`
1650 J*/
1651 typedef const char *MatColoringType;
1652 #define MATCOLORINGJP      "jp"
1653 #define MATCOLORINGPOWER   "power"
1654 #define MATCOLORINGNATURAL "natural"
1655 #define MATCOLORINGSL      "sl"
1656 #define MATCOLORINGLF      "lf"
1657 #define MATCOLORINGID      "id"
1658 #define MATCOLORINGGREEDY  "greedy"
1659 
1660 /*E
1661    MatColoringWeightType - Type of weight scheme used for the coloring algorithm
1662 
1663    Values:
1664 +  `MAT_COLORING_RANDOM`  - Random weights
1665 .  `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1666 -  `MAT_COLORING_LF`      - Last-first weighting.
1667 
1668     Level: intermediate
1669 
1670 .seealso: [](ch_matrices), `MatColoring`, `MatColoringCreate()`, `MatColoringSetWeightType()`, `MatColoringSetWeights()`
1671 E*/
1672 typedef enum {
1673   MAT_COLORING_WEIGHT_RANDOM,
1674   MAT_COLORING_WEIGHT_LEXICAL,
1675   MAT_COLORING_WEIGHT_LF,
1676   MAT_COLORING_WEIGHT_SL
1677 } MatColoringWeightType;
1678 
1679 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1680 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1681 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1682 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1683 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1684 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1685 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1686 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1687 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1688 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1689 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1690 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1691 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1692 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1693 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1694 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1695 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1696 PETSC_DEPRECATED_FUNCTION(3, 10, 0, "MatColoringTest()", ) static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
1697 {
1698   return MatColoringTest(matcoloring, iscoloring);
1699 }
1700 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);
1701 
1702 /*S
1703    MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring
1704 
1705    Level: beginner
1706 
1707    Notes:
1708    This object is creating utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`
1709 
1710    The `SNES` option `-snes_fd_coloring` will cause the Jacobian needed by `SNES` to be computed via a use of this object
1711 
1712 .seealso: [](ch_matrices), `Mat`, `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1713 S*/
1714 typedef struct _p_MatFDColoring *MatFDColoring;
1715 
1716 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1717 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1718 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1719 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, PetscErrorCode (*)(void), void *);
1720 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, PetscErrorCode (**)(void), void **);
1721 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1722 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1723 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1724 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1725 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1726 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1727 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1728 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);
1729 
1730 /*S
1731    MatTransposeColoring - Object for computing a sparse matrix product $C = A*B^T$ via coloring
1732 
1733    Level: developer
1734 
1735 .seealso: [](ch_matrices), `Mat`, `MatProductType`, `MatTransposeColoringCreate()`
1736 S*/
1737 typedef struct _p_MatTransposeColoring *MatTransposeColoring;
1738 
1739 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1740 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1741 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1742 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);
1743 
1744 /*S
1745    MatPartitioning - Object for managing the partitioning of a matrix or graph
1746 
1747    Level: beginner
1748 
1749    Note:
1750    There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1751    via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)
1752 
1753    Developer Note:
1754    It is an extra maintenance and documentation cost to have two objects with the same functionality. `PetscPartitioner` should be removed
1755 
1756 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`, `MatOrderingType`,
1757           `MatCoarsenType`, `MatCoarsenType`
1758 S*/
1759 typedef struct _p_MatPartitioning *MatPartitioning;
1760 
1761 /*J
1762     MatPartitioningType - String with the name of a PETSc matrix partitioning
1763 
1764    Level: beginner
1765 dm
1766 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`, `MatColoringType`, `MatOrderingType`,
1767           `MatCoarsenType`, `MatCoarsenType`
1768 J*/
1769 typedef const char *MatPartitioningType;
1770 #define MATPARTITIONINGCURRENT  "current"
1771 #define MATPARTITIONINGAVERAGE  "average"
1772 #define MATPARTITIONINGSQUARE   "square"
1773 #define MATPARTITIONINGPARMETIS "parmetis"
1774 #define MATPARTITIONINGCHACO    "chaco"
1775 #define MATPARTITIONINGPARTY    "party"
1776 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1777 #define MATPARTITIONINGHIERARCH "hierarch"
1778 
1779 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1780 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1781 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1782 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1783 PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1784 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1785 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1786 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1787 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1788 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1789 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1790 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1791 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1792 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1793 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1794 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1795 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1796 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1797 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);
1798 
1799 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1800 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1801 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1802 
1803 typedef enum {
1804   MP_CHACO_MULTILEVEL = 1,
1805   MP_CHACO_SPECTRAL   = 2,
1806   MP_CHACO_LINEAR     = 4,
1807   MP_CHACO_RANDOM     = 5,
1808   MP_CHACO_SCATTERED  = 6
1809 } MPChacoGlobalType;
1810 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1811 typedef enum {
1812   MP_CHACO_KERNIGHAN = 1,
1813   MP_CHACO_NONE      = 2
1814 } MPChacoLocalType;
1815 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1816 typedef enum {
1817   MP_CHACO_LANCZOS = 0,
1818   MP_CHACO_RQI     = 1
1819 } MPChacoEigenType;
1820 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1821 
1822 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1823 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1824 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1825 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1826 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1827 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1828 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1829 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1830 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1831 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1832 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);
1833 
1834 #define MP_PARTY_OPT "opt"
1835 #define MP_PARTY_LIN "lin"
1836 #define MP_PARTY_SCA "sca"
1837 #define MP_PARTY_RAN "ran"
1838 #define MP_PARTY_GBF "gbf"
1839 #define MP_PARTY_GCF "gcf"
1840 #define MP_PARTY_BUB "bub"
1841 #define MP_PARTY_DEF "def"
1842 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1843 #define MP_PARTY_HELPFUL_SETS  "hs"
1844 #define MP_PARTY_KERNIGHAN_LIN "kl"
1845 #define MP_PARTY_NONE          "no"
1846 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1847 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1848 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1849 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);
1850 
1851 typedef enum {
1852   MP_PTSCOTCH_DEFAULT,
1853   MP_PTSCOTCH_QUALITY,
1854   MP_PTSCOTCH_SPEED,
1855   MP_PTSCOTCH_BALANCE,
1856   MP_PTSCOTCH_SAFETY,
1857   MP_PTSCOTCH_SCALABILITY
1858 } MPPTScotchStrategyType;
1859 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1860 
1861 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1862 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1863 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1864 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);
1865 
1866 /*
1867  * hierarchical partitioning
1868  */
1869 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1870 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1871 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1872 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1873 
1874 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);
1875 
1876 /*
1877     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1878     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1879 */
1880 typedef enum {
1881   MATOP_SET_VALUES               = 0,
1882   MATOP_GET_ROW                  = 1,
1883   MATOP_RESTORE_ROW              = 2,
1884   MATOP_MULT                     = 3,
1885   MATOP_MULT_ADD                 = 4,
1886   MATOP_MULT_TRANSPOSE           = 5,
1887   MATOP_MULT_TRANSPOSE_ADD       = 6,
1888   MATOP_SOLVE                    = 7,
1889   MATOP_SOLVE_ADD                = 8,
1890   MATOP_SOLVE_TRANSPOSE          = 9,
1891   MATOP_SOLVE_TRANSPOSE_ADD      = 10,
1892   MATOP_LUFACTOR                 = 11,
1893   MATOP_CHOLESKYFACTOR           = 12,
1894   MATOP_SOR                      = 13,
1895   MATOP_TRANSPOSE                = 14,
1896   MATOP_GETINFO                  = 15,
1897   MATOP_EQUAL                    = 16,
1898   MATOP_GET_DIAGONAL             = 17,
1899   MATOP_DIAGONAL_SCALE           = 18,
1900   MATOP_NORM                     = 19,
1901   MATOP_ASSEMBLY_BEGIN           = 20,
1902   MATOP_ASSEMBLY_END             = 21,
1903   MATOP_SET_OPTION               = 22,
1904   MATOP_ZERO_ENTRIES             = 23,
1905   MATOP_ZERO_ROWS                = 24,
1906   MATOP_LUFACTOR_SYMBOLIC        = 25,
1907   MATOP_LUFACTOR_NUMERIC         = 26,
1908   MATOP_CHOLESKY_FACTOR_SYMBOLIC = 27,
1909   MATOP_CHOLESKY_FACTOR_NUMERIC  = 28,
1910   MATOP_SETUP                    = 29,
1911   MATOP_ILUFACTOR_SYMBOLIC       = 30,
1912   MATOP_ICCFACTOR_SYMBOLIC       = 31,
1913   MATOP_GET_DIAGONAL_BLOCK       = 32,
1914   MATOP_SET_INF                  = 33,
1915   MATOP_DUPLICATE                = 34,
1916   MATOP_FORWARD_SOLVE            = 35,
1917   MATOP_BACKWARD_SOLVE           = 36,
1918   MATOP_ILUFACTOR                = 37,
1919   MATOP_ICCFACTOR                = 38,
1920   MATOP_AXPY                     = 39,
1921   MATOP_CREATE_SUBMATRICES       = 40,
1922   MATOP_INCREASE_OVERLAP         = 41,
1923   MATOP_GET_VALUES               = 42,
1924   MATOP_COPY                     = 43,
1925   MATOP_GET_ROW_MAX              = 44,
1926   MATOP_SCALE                    = 45,
1927   MATOP_SHIFT                    = 46,
1928   MATOP_DIAGONAL_SET             = 47,
1929   MATOP_ZERO_ROWS_COLUMNS        = 48,
1930   MATOP_SET_RANDOM               = 49,
1931   MATOP_GET_ROW_IJ               = 50,
1932   MATOP_RESTORE_ROW_IJ           = 51,
1933   MATOP_GET_COLUMN_IJ            = 52,
1934   MATOP_RESTORE_COLUMN_IJ        = 53,
1935   MATOP_FDCOLORING_CREATE        = 54,
1936   MATOP_COLORING_PATCH           = 55,
1937   MATOP_SET_UNFACTORED           = 56,
1938   MATOP_PERMUTE                  = 57,
1939   MATOP_SET_VALUES_BLOCKED       = 58,
1940   MATOP_CREATE_SUBMATRIX         = 59,
1941   MATOP_DESTROY                  = 60,
1942   MATOP_VIEW                     = 61,
1943   MATOP_CONVERT_FROM             = 62,
1944   /* MATOP_PLACEHOLDER_63=63 */
1945   MATOP_MATMAT_MULT_SYMBOLIC    = 64,
1946   MATOP_MATMAT_MULT_NUMERIC     = 65,
1947   MATOP_SET_LOCAL_TO_GLOBAL_MAP = 66,
1948   MATOP_SET_VALUES_LOCAL        = 67,
1949   MATOP_ZERO_ROWS_LOCAL         = 68,
1950   MATOP_GET_ROW_MAX_ABS         = 69,
1951   MATOP_GET_ROW_MIN_ABS         = 70,
1952   MATOP_CONVERT                 = 71,
1953   MATOP_HAS_OPERATION           = 72,
1954   /* MATOP_PLACEHOLDER_73=73, */
1955   MATOP_SET_VALUES_ADIFOR = 74,
1956   MATOP_FD_COLORING_APPLY = 75,
1957   MATOP_SET_FROM_OPTIONS  = 76,
1958   /* MATOP_PLACEHOLDER_77=77, */
1959   /* MATOP_PLACEHOLDER_78=78, */
1960   MATOP_FIND_ZERO_DIAGONALS       = 79,
1961   MATOP_MULT_MULTIPLE             = 80,
1962   MATOP_SOLVE_MULTIPLE            = 81,
1963   MATOP_GET_INERTIA               = 82,
1964   MATOP_LOAD                      = 83,
1965   MATOP_IS_SYMMETRIC              = 84,
1966   MATOP_IS_HERMITIAN              = 85,
1967   MATOP_IS_STRUCTURALLY_SYMMETRIC = 86,
1968   MATOP_SET_VALUES_BLOCKEDLOCAL   = 87,
1969   MATOP_CREATE_VECS               = 88,
1970   /* MATOP_PLACEHOLDER_89=89, */
1971   MATOP_MAT_MULT_SYMBOLIC = 90,
1972   MATOP_MAT_MULT_NUMERIC  = 91,
1973   /* MATOP_PLACEHOLDER_92=92, */
1974   MATOP_PTAP_SYMBOLIC = 93,
1975   MATOP_PTAP_NUMERIC  = 94,
1976   /* MATOP_PLACEHOLDER_95=95, */
1977   MATOP_MAT_TRANSPOSE_MULT_SYMBO = 96,
1978   MATOP_MAT_TRANSPOSE_MULT_NUMER = 97,
1979   MATOP_BIND_TO_CPU              = 98,
1980   MATOP_PRODUCTSETFROMOPTIONS    = 99,
1981   MATOP_PRODUCTSYMBOLIC          = 100,
1982   MATOP_PRODUCTNUMERIC           = 101,
1983   MATOP_CONJUGATE                = 102,
1984   MATOP_VIEW_NATIVE              = 103,
1985   MATOP_SET_VALUES_ROW           = 104,
1986   MATOP_REAL_PART                = 105,
1987   MATOP_IMAGINARY_PART           = 106,
1988   MATOP_GET_ROW_UPPER_TRIANGULAR = 107,
1989   MATOP_RESTORE_ROW_UPPER_TRIANG = 108,
1990   MATOP_MAT_SOLVE                = 109,
1991   MATOP_MAT_SOLVE_TRANSPOSE      = 110,
1992   MATOP_GET_ROW_MIN              = 111,
1993   MATOP_GET_COLUMN_VECTOR        = 112,
1994   MATOP_MISSING_DIAGONAL         = 113,
1995   MATOP_GET_SEQ_NONZERO_STRUCTUR = 114,
1996   MATOP_CREATE                   = 115,
1997   MATOP_GET_GHOSTS               = 116,
1998   MATOP_GET_LOCAL_SUB_MATRIX     = 117,
1999   MATOP_RESTORE_LOCALSUB_MATRIX  = 118,
2000   MATOP_MULT_DIAGONAL_BLOCK      = 119,
2001   MATOP_HERMITIAN_TRANSPOSE      = 120,
2002   MATOP_MULT_HERMITIAN_TRANSPOSE = 121,
2003   MATOP_MULT_HERMITIAN_TRANS_ADD = 122,
2004   MATOP_GET_MULTI_PROC_BLOCK     = 123,
2005   MATOP_FIND_NONZERO_ROWS        = 124,
2006   MATOP_GET_COLUMN_NORMS         = 125,
2007   MATOP_INVERT_BLOCK_DIAGONAL    = 126,
2008   MATOP_INVERT_VBLOCK_DIAGONAL   = 127,
2009   MATOP_CREATE_SUB_MATRICES_MPI  = 128,
2010   MATOP_SET_VALUES_BATCH         = 129,
2011   /* MATOP_PLACEHOLDER_130=130, */
2012   MATOP_TRANSPOSE_MAT_MULT_SYMBO = 131,
2013   MATOP_TRANSPOSE_MAT_MULT_NUMER = 132,
2014   MATOP_TRANSPOSE_COLORING_CREAT = 133,
2015   MATOP_TRANS_COLORING_APPLY_SPT = 134,
2016   MATOP_TRANS_COLORING_APPLY_DEN = 135,
2017   /* MATOP_PLACEHOLDER_136=136, */
2018   MATOP_RART_SYMBOLIC         = 137,
2019   MATOP_RART_NUMERIC          = 138,
2020   MATOP_SET_BLOCK_SIZES       = 139,
2021   MATOP_AYPX                  = 140,
2022   MATOP_RESIDUAL              = 141,
2023   MATOP_FDCOLORING_SETUP      = 142,
2024   MATOP_FIND_OFFBLOCK_ENTRIES = 143,
2025   MATOP_MPICONCATENATESEQ     = 144,
2026   MATOP_DESTROYSUBMATRICES    = 145,
2027   MATOP_MAT_TRANSPOSE_SOLVE   = 146,
2028   MATOP_GET_VALUES_LOCAL      = 147,
2029   MATOP_CREATE_GRAPH          = 148,
2030   /* MATOP_PLACEHOLDER_149=149, */
2031   MATOP_TRANSPOSE_SYMBOLIC  = 150,
2032   MATOP_ELIMINATE_ZEROS     = 151,
2033   MATOP_GET_ROW_SUM_ABS     = 152,
2034   MATOP_GET_FACTOR          = 153,
2035   MATOP_GET_BLOCK_DIAGONAL  = 154, // NOTE: caller of the two op functions owns the returned matrix
2036   MATOP_GET_VBLOCK_DIAGONAL = 155, // and need to destroy it after use.
2037   MATOP_COPY_HASH_TO_AIJ    = 156
2038 } MatOperation;
2039 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, void (*)(void));
2040 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, void (**)(void));
2041 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
2042 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
2043 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatProductClear()", ) static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
2044 {
2045   return MatProductClear(A);
2046 }
2047 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, void (*)(void));
2048 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, void (**)(void));
2049 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, void *);
2050 PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscCtxDestroyFn *);
2051 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
2052 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2053 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2054 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
2055 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscErrorCode (*)(void *), MatType, MatType);
2056 PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);
2057 
2058 /*
2059    Codes for matrices stored on disk. By default they are
2060    stored in a universal format. By changing the format with
2061    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
2062    be stored in a way natural for the matrix, for example dense matrices
2063    would be stored as dense. Matrices stored this way may only be
2064    read into matrices of the same type.
2065 */
2066 #define MATRIX_BINARY_FORMAT_DENSE -1
2067 
2068 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);
2069 
2070 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
2071 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
2072 PETSC_EXTERN PetscErrorCode MatISSetAllowRepeated(Mat, PetscBool);
2073 PETSC_EXTERN PetscErrorCode MatISGetAllowRepeated(Mat, PetscBool *);
2074 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
2075 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
2076 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
2077 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
2078 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
2079 PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
2080 
2081 /*S
2082    MatNullSpace - Object that removes a null space from a vector, i.e.
2083                   orthogonalizes the vector to a subspace
2084 
2085    Level: advanced
2086 
2087 .seealso: [](ch_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2088 S*/
2089 typedef struct _p_MatNullSpace *MatNullSpace;
2090 
2091 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
2092 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, PetscErrorCode (*)(MatNullSpace, Vec, void *), void *);
2093 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
2094 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
2095 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
2096 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
2097 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
2098 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
2099 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
2100 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
2101 PETSC_EXTERN PetscErrorCode MatGetNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2102 PETSC_EXTERN PetscErrorCode MatRestoreNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2103 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
2104 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
2105 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
2106 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);
2107 
2108 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
2109 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
2110 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);
2111 
2112 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
2113 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
2114 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);
2115 
2116 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
2117 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);
2118 
2119 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperator()", ) static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
2120 {
2121   return MatComputeOperator(A, PETSC_NULLPTR, B);
2122 }
2123 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperatorTranspose()", ) static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
2124 {
2125   return MatComputeOperatorTranspose(A, PETSC_NULLPTR, B);
2126 }
2127 
2128 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
2129 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
2130 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
2131 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2132 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
2133 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
2134 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
2135 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2136 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
2137 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
2138 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
2139 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
2140 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
2141 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);
2142 
2143 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);
2144 
2145 PETSC_EXTERN PetscErrorCode MatMFFDInitializePackage(void);
2146 PETSC_EXTERN PetscErrorCode MatMFFDFinalizePackage(void);
2147 
2148 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2149 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
2150 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, PetscErrorCode (*)(void *, Vec, Vec), void *);
2151 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, PetscErrorCode (*)(void *, PetscInt, Vec, PetscScalar *));
2152 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, PetscErrorCode (*)(void *, Vec));
2153 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
2154 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
2155 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
2156 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
2157 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
2158 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
2159 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
2160 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, PetscErrorCode (*)(void *, Vec, Vec, PetscScalar *), void *);
2161 
2162 /*S
2163     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2164               Jacobian vector products
2165 
2166     Level: developer
2167 
2168     Notes:
2169     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure
2170 
2171      MatMFFD*() methods actually take the `Mat` as their first argument. Not a `MatMFFD` data structure
2172 
2173     This functionality is often obtained using `MatCreateSNESMF()` or with `SNES` solvers using `-snes_mf` or `-snes_mf_operator`
2174 
2175 .seealso: [](ch_matrices), `MatMFFDType`, `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`,
2176           `MatCreateSNESMF()`, `SNES`, `-snes_mf`, `-snes_mf_operator`
2177 S*/
2178 typedef struct _p_MatMFFD *MatMFFD;
2179 
2180 /*J
2181    MatMFFDType - algorithm used to compute the `h` used in computing matrix-vector products via differencing of a function
2182 
2183    Values:
2184 +   `MATMFFD_DS` - an algorithm described by Dennis and Schnabel {cite}`dennis:83`
2185 -   `MATMFFD_WP` - the Walker-Pernice {cite}`pw98` strategy.
2186 
2187    Level: beginner
2188 
2189 .seealso: [](ch_matrices), `MatMFFDSetType()`, `MatMFFDRegister()`, `MatMFFDSetFunction()`, `MatCreateMFFD()`
2190 J*/
2191 typedef const char *MatMFFDType;
2192 #define MATMFFD_DS "ds"
2193 #define MATMFFD_WP "wp"
2194 
2195 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2196 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));
2197 
2198 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2199 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);
2200 
2201 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);
2202 
2203 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2204 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
2205 
2206 #ifdef PETSC_HAVE_H2OPUS
2207 PETSC_EXTERN_TYPEDEF typedef PetscScalar(MatH2OpusKernelFn)(PetscInt, PetscReal[], PetscReal[], void *);
2208 PETSC_EXTERN_TYPEDEF typedef MatH2OpusKernelFn *MatH2OpusKernel;
2209 
2210 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernelFn *, void *, PetscReal, PetscInt, PetscInt, Mat *);
2211 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2212 PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2213 PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
2214 PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat, PetscReal);
2215 PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat, PetscBool);
2216 PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat, PetscBool *);
2217 PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat, IS *);
2218 PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2219 PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2220 #endif
2221 
2222 #ifdef PETSC_HAVE_HTOOL
2223 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(MatHtoolKernelFn)(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2224 PETSC_EXTERN_TYPEDEF typedef MatHtoolKernelFn *MatHtoolKernel;
2225 
2226 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernelFn *, void *, Mat *);
2227 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat, MatHtoolKernelFn *, void *);
2228 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat, IS *);
2229 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat, IS *);
2230 PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat, PetscBool);
2231 
2232 /*E
2233    MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`
2234 
2235    Values:
2236 +  `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2237 .  `MAT_HTOOL_COMPRESSOR_FULL_ACA`                 - full adaptive cross approximation
2238 -  `MAT_HTOOL_COMPRESSOR_SVD`                      - singular value decomposition
2239 
2240    Level: intermediate
2241 
2242 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2243 E*/
2244 typedef enum {
2245   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2246   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2247   MAT_HTOOL_COMPRESSOR_SVD
2248 } MatHtoolCompressorType;
2249 
2250 /*E
2251    MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`
2252 
2253    Values:
2254 +  `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default)    - axis computed via principle component analysis, split uniformly
2255 .  `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC`            - axis computed via principle component analysis, split barycentrically
2256 .  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR`   - axis along the largest extent of the bounding box, split uniformly
2257 -  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically
2258 
2259    Level: intermediate
2260 
2261    Note:
2262    Higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
2263 
2264 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2265 E*/
2266 typedef enum {
2267   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2268   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2269   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2270   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2271 } MatHtoolClusteringType;
2272 #endif
2273 
2274 #ifdef PETSC_HAVE_MUMPS
2275 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2276 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2277 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2278 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);
2279 
2280 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2281 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2282 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2283 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2284 PETSC_EXTERN PetscErrorCode MatMumpsGetNullPivots(Mat, PetscInt *, PetscInt **);
2285 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2286 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2287 #endif
2288 
2289 #ifdef PETSC_HAVE_MKL_PARDISO
2290 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2291 #endif
2292 
2293 #ifdef PETSC_HAVE_MKL_CPARDISO
2294 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2295 #endif
2296 
2297 #ifdef PETSC_HAVE_SUPERLU
2298 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2299 #endif
2300 
2301 #ifdef PETSC_HAVE_SUPERLU_DIST
2302 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2303 #endif
2304 
2305 #ifdef PETSC_HAVE_STRUMPACK
2306 /*E
2307     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `MATSOLVERSTRUMPACK`
2308 
2309     Values:
2310 +  `MAT_STRUMPACK_NATURAL`   - use the current ordering
2311 .  `MAT_STRUMPACK_METIS`     - use MeTis to compute an ordering
2312 .  `MAT_STRUMPACK_PARMETIS`  - use ParMeTis to compute an ordering
2313 .  `MAT_STRUMPACK_SCOTCH`    - use Scotch to compute an ordering
2314 .  `MAT_STRUMPACK_PTSCOTCH`  - use parallel Scotch to compute an ordering
2315 .  `MAT_STRUMPACK_RCM`       - use an RCM ordering
2316 .  `MAT_STRUMPACK_GEOMETRIC` - use a geometric ordering (needs mesh info from user)
2317 .  `MAT_STRUMPACK_AMD`       - approximate minimum degree
2318 .  `MAT_STRUMPACK_MMD`       - multiple minimum degree
2319 .  `MAT_STRUMPACK_AND`       - approximate nested dissection
2320 .  `MAT_STRUMPACK_MLF`       - minimum local fill
2321 -  `MAT_STRUMPACK_SPECTRAL`  - spectral nested dissection
2322 
2323     Level: intermediate
2324 
2325     Developer Note:
2326     Should be called `MatSTRUMPACKReorderingType`
2327 
2328 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetReordering()`
2329 E*/
2330 typedef enum {
2331   MAT_STRUMPACK_NATURAL,
2332   MAT_STRUMPACK_METIS,
2333   MAT_STRUMPACK_PARMETIS,
2334   MAT_STRUMPACK_SCOTCH,
2335   MAT_STRUMPACK_PTSCOTCH,
2336   MAT_STRUMPACK_RCM,
2337   MAT_STRUMPACK_GEOMETRIC,
2338   MAT_STRUMPACK_AMD,
2339   MAT_STRUMPACK_MMD,
2340   MAT_STRUMPACK_AND,
2341   MAT_STRUMPACK_MLF,
2342   MAT_STRUMPACK_SPECTRAL
2343 } MatSTRUMPACKReordering;
2344 
2345 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2346 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetReordering(Mat, MatSTRUMPACKReordering *);
2347 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricNxyz(Mat, PetscInt, PetscInt, PetscInt);
2348 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricComponents(Mat, PetscInt);
2349 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricWidth(Mat, PetscInt);
2350 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2351 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetColPerm(Mat, PetscBool *);
2352 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGPU(Mat, PetscBool);
2353 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetGPU(Mat, PetscBool *);
2354 
2355 /*E
2356     MatSTRUMPACKCompressionType - Compression used in the approximate sparse factorization solver `MATSOLVERSTRUMPACK`
2357 
2358     Values:
2359 +  `MAT_STRUMPACK_COMPRESSION_TYPE_NONE`          - no compression, direct solver
2360 .  `MAT_STRUMPACK_COMPRESSION_TYPE_HSS`           - hierarchically semi-separable
2361 .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR`           - block low rank
2362 .  `MAT_STRUMPACK_COMPRESSION_TYPE_HODLR`         - hierarchically off-diagonal low rank (requires ButterfyPACK support, configure with --download-butterflypack)
2363 .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR`     - hybrid of BLR and HODLR (requires ButterfyPACK support, configure with --download-butterflypack)
2364 .  `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)
2365 .  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS`      - lossless compression (requires ZFP support, configure with --download-zfp)
2366 -  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY`         - lossy compression (requires ZFP support, configure with --download-zfp)
2367 
2368     Level: intermediate
2369 
2370 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetCompression()`
2371 E*/
2372 typedef enum {
2373   MAT_STRUMPACK_COMPRESSION_TYPE_NONE,
2374   MAT_STRUMPACK_COMPRESSION_TYPE_HSS,
2375   MAT_STRUMPACK_COMPRESSION_TYPE_BLR,
2376   MAT_STRUMPACK_COMPRESSION_TYPE_HODLR,
2377   MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR,
2378   MAT_STRUMPACK_COMPRESSION_TYPE_ZFP_BLR_HODLR,
2379   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS,
2380   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY
2381 } MatSTRUMPACKCompressionType;
2382 
2383 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompression(Mat, MatSTRUMPACKCompressionType);
2384 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompression(Mat, MatSTRUMPACKCompressionType *);
2385 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompRelTol(Mat, PetscReal);
2386 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompRelTol(Mat, PetscReal *);
2387 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompAbsTol(Mat, PetscReal);
2388 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompAbsTol(Mat, PetscReal *);
2389 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompMinSepSize(Mat, PetscInt);
2390 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompMinSepSize(Mat, PetscInt *);
2391 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLeafSize(Mat, PetscInt);
2392 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLeafSize(Mat, PetscInt *);
2393 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLossyPrecision(Mat, PetscInt);
2394 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLossyPrecision(Mat, PetscInt *);
2395 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompButterflyLevels(Mat, PetscInt);
2396 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompButterflyLevels(Mat, PetscInt *);
2397 #endif
2398 
2399 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2400 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2401 PETSC_DEPRECATED_FUNCTION(3, 13, 0, "MatBindToCPU()", ) static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2402 {
2403   return MatBindToCPU(A, flg);
2404 }
2405 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2406 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);
2407 
2408 #ifdef PETSC_HAVE_CUDA
2409 /*E
2410     MatCUSPARSEStorageFormat - indicates the storage format for `MATAIJCUSPARSE` (GPU)
2411     matrices.
2412 
2413     Values:
2414 +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2415 .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2416 -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2417 
2418     Level: intermediate
2419 
2420 .seealso: [](ch_matrices), `MATAIJCUSPARSE`, `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2421 E*/
2422 
2423 typedef enum {
2424   MAT_CUSPARSE_CSR,
2425   MAT_CUSPARSE_ELL,
2426   MAT_CUSPARSE_HYB
2427 } MatCUSPARSEStorageFormat;
2428 
2429 /* these will be strings associated with enumerated type defined above */
2430 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2431 
2432 /*E
2433     MatCUSPARSEFormatOperation - indicates the operation of `MATAIJCUSPARSE` (GPU)
2434     matrices whose operation should use a particular storage format.
2435 
2436     Values:
2437 +   `MAT_CUSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2438 .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2439 .   `MAT_CUSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2440 -   `MAT_CUSPARSE_ALL`          - sets the storage format for all `MATAIJCUSPARSE` (GPU) matrices
2441 
2442     Level: intermediate
2443 
2444 .seealso: [](ch_matrices), `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2445 E*/
2446 typedef enum {
2447   MAT_CUSPARSE_MULT_DIAG,
2448   MAT_CUSPARSE_MULT_OFFDIAG,
2449   MAT_CUSPARSE_MULT,
2450   MAT_CUSPARSE_ALL
2451 } MatCUSPARSEFormatOperation;
2452 
2453 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2454 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2455 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2456 PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2457 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2458 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2459 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2460 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2461 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2462 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2463 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2464 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);
2465 
2466 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2467 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2468 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2469 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2470 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2471 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2472 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2473 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2474 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2475 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2476 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2477 PETSC_EXTERN PetscErrorCode MatDenseCUDASetPreallocation(Mat, PetscScalar *);
2478 
2479 PETSC_EXTERN PetscErrorCode MatCreateSeqSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2480 PETSC_EXTERN PetscErrorCode MatCreateSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2481 #endif
2482 
2483 #ifdef PETSC_HAVE_HIP
2484 /*E
2485     MatHIPSPARSEStorageFormat - indicates the storage format for `MATAIJHIPSPARSE` (GPU)
2486     matrices.
2487 
2488     Values:
2489 +   `MAT_HIPSPARSE_CSR` - Compressed Sparse Row
2490 .   `MAT_HIPSPARSE_ELL` - Ellpack
2491 -   `MAT_HIPSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format
2492 
2493     Level: intermediate
2494 
2495 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
2496 E*/
2497 
2498 typedef enum {
2499   MAT_HIPSPARSE_CSR,
2500   MAT_HIPSPARSE_ELL,
2501   MAT_HIPSPARSE_HYB
2502 } MatHIPSPARSEStorageFormat;
2503 
2504 /* these will be strings associated with enumerated type defined above */
2505 PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];
2506 
2507 /*E
2508     MatHIPSPARSEFormatOperation - indicates the operation of `MATAIJHIPSPARSE` (GPU)
2509     matrices whose operation should use a particular storage format.
2510 
2511     Values:
2512 +   `MAT_HIPSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2513 .   `MAT_HIPSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2514 .   `MAT_HIPSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2515 -   `MAT_HIPSPARSE_ALL`          - sets the storage format for all HIPSPARSE (GPU) matrices
2516 
2517     Level: intermediate
2518 
2519 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
2520 E*/
2521 typedef enum {
2522   MAT_HIPSPARSE_MULT_DIAG,
2523   MAT_HIPSPARSE_MULT_OFFDIAG,
2524   MAT_HIPSPARSE_MULT,
2525   MAT_HIPSPARSE_ALL
2526 } MatHIPSPARSEFormatOperation;
2527 
2528 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2529 PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2530 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
2531 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
2532 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2533 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2534 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
2535 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
2536 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
2537 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
2538 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
2539 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);
2540 
2541 PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2542 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2543 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
2544 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
2545 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
2546 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
2547 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
2548 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
2549 PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
2550 PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
2551 PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);
2552 PETSC_EXTERN PetscErrorCode MatDenseHIPSetPreallocation(Mat, PetscScalar *);
2553 PETSC_EXTERN PetscErrorCode MatCreateSeqSELLHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2554 PETSC_EXTERN PetscErrorCode MatCreateSELLHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2555 #endif
2556 
2557 #if defined(PETSC_HAVE_VIENNACL)
2558 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2559 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2560 #endif
2561 
2562 #if PetscDefined(HAVE_KOKKOS)
2563 PETSC_EXTERN PetscErrorCode MatCreateAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2564 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2565 #endif
2566 
2567 #if defined(PETSC_HAVE_FFTW)
2568 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2569 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2570 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2571 #endif
2572 
2573 #if defined(PETSC_HAVE_SCALAPACK)
2574 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2575 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2576 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2577 #endif
2578 
2579 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2580 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2581 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2582 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2583 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2584 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2585 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2586 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2587 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);
2588 
2589 PETSC_EXTERN PetscErrorCode MatFilter(Mat, PetscReal, PetscBool, PetscBool);
2590 PETSC_DEPRECATED_FUNCTION(3, 20, 0, "MatFilter()", ) static inline PetscErrorCode MatChop(Mat A, PetscReal tol)
2591 {
2592   return MatFilter(A, tol, PETSC_FALSE, PETSC_FALSE);
2593 }
2594 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);
2595 
2596 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);
2597 
2598 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);
2599 
2600 PETSC_EXTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2601 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);
2602 
2603 PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);
2604 
2605 PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, PetscInt, PetscInt[], Mat *);
2606 PETSC_EXTERN PetscErrorCode MatEliminateZeros(Mat, PetscBool);
2607 
2608 PETSC_EXTERN PetscErrorCode MatCreateDenseFromVecType(MPI_Comm, VecType, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar *, Mat *);
2609 
2610 PETSC_EXTERN PetscErrorCode MatSetHPL(Mat, int);
2611 #define PETSCBMHPL "hpl"
2612