xref: /petsc/include/petscmat.h (revision d03e3399bf3f48bd54966feab56643de45aa3450)
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. These are all the matrix formats that PETSc provides.
26 
27    Level: beginner
28 
29    Notes:
30    [](doc_matrix) for a table of available matrix types
31 
32    Use `MatSetType()` or the options database keys `-mat_type` or `-dm_mat_type` to set the matrix format to use for a given `Mat`
33 
34 .seealso: [](doc_matrix), [](ch_matrices), `MatSetType()`, `Mat`, `MatSolverType`, `MatRegister()`
35 J*/
36 typedef const char *MatType;
37 #define MATSAME                      "same"
38 #define MATMAIJ                      "maij"
39 #define MATSEQMAIJ                   "seqmaij"
40 #define MATMPIMAIJ                   "mpimaij"
41 #define MATKAIJ                      "kaij"
42 #define MATSEQKAIJ                   "seqkaij"
43 #define MATMPIKAIJ                   "mpikaij"
44 #define MATIS                        "is"
45 #define MATAIJ                       "aij"
46 #define MATSEQAIJ                    "seqaij"
47 #define MATMPIAIJ                    "mpiaij"
48 #define MATAIJCRL                    "aijcrl"
49 #define MATSEQAIJCRL                 "seqaijcrl"
50 #define MATMPIAIJCRL                 "mpiaijcrl"
51 #define MATAIJCUSPARSE               "aijcusparse"
52 #define MATSEQAIJCUSPARSE            "seqaijcusparse"
53 #define MATMPIAIJCUSPARSE            "mpiaijcusparse"
54 #define MATAIJHIPSPARSE              "aijhipsparse"
55 #define MATSEQAIJHIPSPARSE           "seqaijhipsparse"
56 #define MATMPIAIJHIPSPARSE           "mpiaijhipsparse"
57 #define MATAIJKOKKOS                 "aijkokkos"
58 #define MATSEQAIJKOKKOS              "seqaijkokkos"
59 #define MATMPIAIJKOKKOS              "mpiaijkokkos"
60 #define MATAIJVIENNACL               "aijviennacl"
61 #define MATSEQAIJVIENNACL            "seqaijviennacl"
62 #define MATMPIAIJVIENNACL            "mpiaijviennacl"
63 #define MATAIJPERM                   "aijperm"
64 #define MATSEQAIJPERM                "seqaijperm"
65 #define MATMPIAIJPERM                "mpiaijperm"
66 #define MATAIJSELL                   "aijsell"
67 #define MATSEQAIJSELL                "seqaijsell"
68 #define MATMPIAIJSELL                "mpiaijsell"
69 #define MATAIJMKL                    "aijmkl"
70 #define MATSEQAIJMKL                 "seqaijmkl"
71 #define MATMPIAIJMKL                 "mpiaijmkl"
72 #define MATBAIJMKL                   "baijmkl"
73 #define MATSEQBAIJMKL                "seqbaijmkl"
74 #define MATMPIBAIJMKL                "mpibaijmkl"
75 #define MATSHELL                     "shell"
76 #define MATCENTERING                 "centering"
77 #define MATDENSE                     "dense"
78 #define MATDENSECUDA                 "densecuda"
79 #define MATDENSEHIP                  "densehip"
80 #define MATSEQDENSE                  "seqdense"
81 #define MATSEQDENSECUDA              "seqdensecuda"
82 #define MATSEQDENSEHIP               "seqdensehip"
83 #define MATMPIDENSE                  "mpidense"
84 #define MATMPIDENSECUDA              "mpidensecuda"
85 #define MATMPIDENSEHIP               "mpidensehip"
86 #define MATELEMENTAL                 "elemental"
87 #define MATSCALAPACK                 "scalapack"
88 #define MATBAIJ                      "baij"
89 #define MATSEQBAIJ                   "seqbaij"
90 #define MATMPIBAIJ                   "mpibaij"
91 #define MATMPIADJ                    "mpiadj"
92 #define MATSBAIJ                     "sbaij"
93 #define MATSEQSBAIJ                  "seqsbaij"
94 #define MATMPISBAIJ                  "mpisbaij"
95 #define MATMFFD                      "mffd"
96 #define MATNORMAL                    "normal"
97 #define MATNORMALHERMITIAN           "normalh"
98 #define MATLRC                       "lrc"
99 #define MATSCATTER                   "scatter"
100 #define MATBLOCKMAT                  "blockmat"
101 #define MATCOMPOSITE                 "composite"
102 #define MATFFT                       "fft"
103 #define MATFFTW                      "fftw"
104 #define MATSEQCUFFT                  "seqcufft"
105 #define MATSEQHIPFFT                 "seqhipfft"
106 #define MATTRANSPOSEMAT              PETSC_DEPRECATED_MACRO(3, 18, 0, "MATTRANSPOSEVIRTUAL", ) "transpose"
107 #define MATTRANSPOSEVIRTUAL          "transpose"
108 #define MATHERMITIANTRANSPOSEVIRTUAL "hermitiantranspose"
109 #define MATSCHURCOMPLEMENT           "schurcomplement"
110 #define MATPYTHON                    "python"
111 #define MATHYPRE                     "hypre"
112 #define MATHYPRESTRUCT               "hyprestruct"
113 #define MATHYPRESSTRUCT              "hypresstruct"
114 #define MATSUBMATRIX                 "submatrix"
115 #define MATLOCALREF                  "localref"
116 #define MATNEST                      "nest"
117 #define MATPREALLOCATOR              "preallocator"
118 #define MATSELL                      "sell"
119 #define MATSEQSELL                   "seqsell"
120 #define MATMPISELL                   "mpisell"
121 #define MATSELLCUDA                  "sellcuda"
122 #define MATSEQSELLCUDA               "seqsellcuda"
123 #define MATMPISELLCUDA               "mpisellcuda"
124 #define MATSELLHIP                   "sellhip"
125 #define MATSEQSELLHIP                "seqsellhip"
126 #define MATMPISELLHIP                "mpisellhip"
127 #define MATDUMMY                     "dummy"
128 #define MATLMVM                      "lmvm"
129 #define MATLMVMDFP                   "lmvmdfp"
130 #define MATLMVMDDFP                  "lmvmddfp"
131 #define MATLMVMBFGS                  "lmvmbfgs"
132 #define MATLMVMDBFGS                 "lmvmdbfgs"
133 #define MATLMVMDQN                   "lmvmdqn"
134 #define MATLMVMSR1                   "lmvmsr1"
135 #define MATLMVMBROYDEN               "lmvmbroyden"
136 #define MATLMVMBADBROYDEN            "lmvmbadbroyden"
137 #define MATLMVMSYMBROYDEN            "lmvmsymbroyden"
138 #define MATLMVMSYMBADBROYDEN         "lmvmsymbadbroyden"
139 #define MATLMVMDIAGBROYDEN           "lmvmdiagbroyden"
140 #define MATCONSTANTDIAGONAL          "constantdiagonal"
141 #define MATDIAGONAL                  "diagonal"
142 #define MATHTOOL                     "htool"
143 #define MATH2OPUS                    "h2opus"
144 
145 /*J
146    MatSolverType - String with the name of a PETSc factorization-based matrix solver type.
147 
148    For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
149 
150    Level: beginner
151 
152    Note:
153    `MATSOLVERUMFPACK`, `MATSOLVERCHOLMOD`, `MATSOLVERKLU`, `MATSOLVERSPQR` form the SuiteSparse package; you can use `--download-suitesparse` as
154    a ./configure option to install them
155 
156 .seealso: [](sec_matfactor), [](ch_matrices), `MatGetFactor()`, `PCFactorSetMatSolverType()`, `PCFactorGetMatSolverType()`
157 J*/
158 typedef const char *MatSolverType;
159 #define MATSOLVERSUPERLU      "superlu"
160 #define MATSOLVERSUPERLU_DIST "superlu_dist"
161 #define MATSOLVERSTRUMPACK    "strumpack"
162 #define MATSOLVERUMFPACK      "umfpack"
163 #define MATSOLVERCHOLMOD      "cholmod"
164 #define MATSOLVERKLU          "klu"
165 #define MATSOLVERELEMENTAL    "elemental"
166 #define MATSOLVERSCALAPACK    "scalapack"
167 #define MATSOLVERESSL         "essl"
168 #define MATSOLVERLUSOL        "lusol"
169 #define MATSOLVERMUMPS        "mumps"
170 #define MATSOLVERMKL_PARDISO  "mkl_pardiso"
171 #define MATSOLVERMKL_CPARDISO "mkl_cpardiso"
172 #define MATSOLVERPASTIX       "pastix"
173 #define MATSOLVERMATLAB       "matlab"
174 #define MATSOLVERPETSC        "petsc"
175 #define MATSOLVERBAS          "bas"
176 #define MATSOLVERCUSPARSE     "cusparse"
177 #define MATSOLVERCUDA         "cuda"
178 #define MATSOLVERHIPSPARSE    "hipsparse"
179 #define MATSOLVERHIP          "hip"
180 #define MATSOLVERKOKKOS       "kokkos"
181 #define MATSOLVERSPQR         "spqr"
182 #define MATSOLVERHTOOL        "htool"
183 
184 /*E
185     MatFactorType - indicates what type of factorization is requested
186 
187     Values:
188 +  `MAT_FACTOR_LU`       - LU factorization
189 .  `MAT_FACTOR_CHOLESKY` - Cholesky factorization
190 .  `MAT_FACTOR_ILU`      - ILU factorization
191 .  `MAT_FACTOR_ICC`      - incomplete Cholesky factorization
192 .  `MAT_FACTOR_ILUDT`    - ILU factorization with drop tolerance
193 -  `MAT_FACTOR_QR`       - QR factorization
194 
195     Level: beginner
196 
197 .seealso: [](ch_matrices), `MatSolverType`, `MatGetFactor()`, `MatGetFactorAvailable()`, `MatSolverTypeRegister()`
198 E*/
199 typedef enum {
200   MAT_FACTOR_NONE,
201   MAT_FACTOR_LU,
202   MAT_FACTOR_CHOLESKY,
203   MAT_FACTOR_ILU,
204   MAT_FACTOR_ICC,
205   MAT_FACTOR_ILUDT,
206   MAT_FACTOR_QR,
207   MAT_FACTOR_NUM_TYPES
208 } MatFactorType;
209 PETSC_EXTERN const char *const MatFactorTypes[];
210 
211 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat, MatSolverType, MatFactorType, Mat *);
212 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat, MatSolverType, MatFactorType, PetscBool *);
213 PETSC_EXTERN PetscErrorCode MatFactorGetCanUseOrdering(Mat, PetscBool *);
214 PETSC_DEPRECATED_FUNCTION(3, 15, 0, "MatFactorGetCanUseOrdering()", ) static inline PetscErrorCode MatFactorGetUseOrdering(Mat A, PetscBool *b)
215 {
216   return MatFactorGetCanUseOrdering(A, b);
217 }
218 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat, MatSolverType *);
219 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat, MatFactorType *);
220 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat, MatFactorType);
221 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(MatSolverFn)(Mat, MatFactorType, Mat *);
222 PETSC_EXTERN_TYPEDEF typedef MatSolverFn *MatSolverFunction;
223 
224 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType, MatType, MatFactorType, MatSolverFn *);
225 PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType, MatType, MatFactorType, PetscBool *, PetscBool *, MatSolverFn **);
226 typedef MatSolverType       MatSolverPackage PETSC_DEPRECATED_TYPEDEF(3, 9, 0, "MatSolverType", );
227 PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSolverTypeRegister()", ) static inline PetscErrorCode MatSolverPackageRegister(MatSolverType stype, MatType mtype, MatFactorType ftype, MatSolverFn *f)
228 {
229   return MatSolverTypeRegister(stype, mtype, ftype, f);
230 }
231 PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSolverTypeGet()", ) static inline PetscErrorCode MatSolverPackageGet(MatSolverType stype, MatType mtype, MatFactorType ftype, PetscBool *foundmtype, PetscBool *foundstype, MatSolverFn **f)
232 {
233   return MatSolverTypeGet(stype, mtype, ftype, foundmtype, foundstype, f);
234 }
235 
236 /*E
237     MatProductType - indicates what type of matrix product to compute
238 
239     Values:
240 +  `MATPRODUCT_AB`   - product of two matrices
241 .  `MATPRODUCT_AtB`  - product of the transpose of a given matrix with a matrix
242 .  `MATPRODUCT_ABt`  - product of a matrix with the transpose of another given matrix
243 .  `MATPRODUCT_PtAP` - the triple product of the transpose of a matrix with another matrix and itself
244 .  `MATPRODUCT_RARt` - the triple product of a matrix, another matrix and the transpose of the first matrix
245 -  `MATPRODUCT_ABC`  - the product of three matrices
246 
247     Level: beginner
248 
249 .seealso: [](sec_matmatproduct), [](ch_matrices), `MatProductSetType()`
250 E*/
251 typedef enum {
252   MATPRODUCT_UNSPECIFIED,
253   MATPRODUCT_AB,
254   MATPRODUCT_AtB,
255   MATPRODUCT_ABt,
256   MATPRODUCT_PtAP,
257   MATPRODUCT_RARt,
258   MATPRODUCT_ABC
259 } MatProductType;
260 PETSC_EXTERN const char *const MatProductTypes[];
261 
262 /*J
263     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
264 
265    Level: beginner
266 
267 .seealso: [](sec_matmatproduct), [](ch_matrices), `MatSetType()`, `Mat`, `MatProductSetAlgorithm()`, `MatProductType`
268 J*/
269 typedef const char *MatProductAlgorithm;
270 #define MATPRODUCTALGORITHMDEFAULT         "default"
271 #define MATPRODUCTALGORITHMSORTED          "sorted"
272 #define MATPRODUCTALGORITHMSCALABLE        "scalable"
273 #define MATPRODUCTALGORITHMSCALABLEFAST    "scalable_fast"
274 #define MATPRODUCTALGORITHMHEAP            "heap"
275 #define MATPRODUCTALGORITHMBHEAP           "btheap"
276 #define MATPRODUCTALGORITHMLLCONDENSED     "llcondensed"
277 #define MATPRODUCTALGORITHMROWMERGE        "rowmerge"
278 #define MATPRODUCTALGORITHMOUTERPRODUCT    "outerproduct"
279 #define MATPRODUCTALGORITHMATB             "at*b"
280 #define MATPRODUCTALGORITHMRAP             "rap"
281 #define MATPRODUCTALGORITHMNONSCALABLE     "nonscalable"
282 #define MATPRODUCTALGORITHMSEQMPI          "seqmpi"
283 #define MATPRODUCTALGORITHMBACKEND         "backend"
284 #define MATPRODUCTALGORITHMOVERLAPPING     "overlapping"
285 #define MATPRODUCTALGORITHMMERGED          "merged"
286 #define MATPRODUCTALGORITHMALLATONCE       "allatonce"
287 #define MATPRODUCTALGORITHMALLATONCEMERGED "allatonce_merged"
288 #define MATPRODUCTALGORITHMALLGATHERV      "allgatherv"
289 #define MATPRODUCTALGORITHMCYCLIC          "cyclic"
290 #define MATPRODUCTALGORITHMHYPRE           "hypre"
291 
292 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat, Mat, Mat, Mat *);
293 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat, Mat, Mat, Mat);
294 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat, MatProductType);
295 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat, MatProductAlgorithm);
296 PETSC_EXTERN PetscErrorCode MatProductGetAlgorithm(Mat, MatProductAlgorithm *);
297 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat, PetscReal);
298 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
299 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
300 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
301 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat, Mat, Mat, Mat);
302 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
303 PETSC_EXTERN PetscErrorCode MatProductView(Mat, PetscViewer);
304 PETSC_EXTERN PetscErrorCode MatProductGetType(Mat, MatProductType *);
305 PETSC_EXTERN PetscErrorCode MatProductGetMats(Mat, Mat *, Mat *, Mat *);
306 
307 /* Logging support */
308 #define MAT_FILE_CLASSID 1211216 /* used to indicate matrices in binary files */
309 PETSC_EXTERN PetscClassId MAT_CLASSID;
310 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
311 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
312 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
313 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
314 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
315 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
316 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
317 
318 /*E
319    MatReuse - Indicates if matrices obtained from a previous call to `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatConvert()` or several other functions
320    are to be reused to store the new matrix values.
321 
322    Values:
323 +  `MAT_INITIAL_MATRIX` - create a new matrix
324 .  `MAT_REUSE_MATRIX`   - reuse the matrix created with a previous call that used `MAT_INITIAL_MATRIX`
325 .  `MAT_INPLACE_MATRIX` - replace the first input matrix with the new matrix (not applicable to all functions)
326 -  `MAT_IGNORE_MATRIX`  - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
327 
328     Level: beginner
329 
330 .seealso: [](ch_matrices), `Mat`, `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatDestroyMatrices()`, `MatConvert()`
331 E*/
332 typedef enum {
333   MAT_INITIAL_MATRIX,
334   MAT_REUSE_MATRIX,
335   MAT_IGNORE_MATRIX,
336   MAT_INPLACE_MATRIX
337 } MatReuse;
338 
339 /*E
340     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to `MatCreateSubMatrices()`
341     include the matrix values. Currently it is only used by `MatGetSeqNonzeroStructure()`.
342 
343     Values:
344 +  `MAT_DO_NOT_GET_VALUES` - do not copy the matrix values
345 -  `MAT_GET_VALUES`        - copy the matrix values
346 
347     Level: developer
348 
349     Developer Note:
350     Why is not just a boolean used for this information?
351 
352 .seealso: [](ch_matrices), `Mat`, `MatDuplicateOption`, `PetscCopyMode`, `MatGetSeqNonzeroStructure()`
353 E*/
354 typedef enum {
355   MAT_DO_NOT_GET_VALUES,
356   MAT_GET_VALUES
357 } MatCreateSubMatrixOption;
358 
359 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
360 PETSC_EXTERN PetscErrorCode MatFinalizePackage(void);
361 
362 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm, Mat *);
363 PETSC_EXTERN PetscErrorCode MatCreateFromOptions(MPI_Comm, const char *, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
364 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat, PetscInt, PetscInt, PetscInt, PetscInt);
365 PETSC_EXTERN PetscErrorCode MatSetType(Mat, MatType);
366 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat, VecType *);
367 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat, VecType);
368 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
369 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat, PetscObject, const char[]);
370 PETSC_EXTERN PetscErrorCode MatRegister(const char[], PetscErrorCode (*)(Mat));
371 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[], const char[], const char[]);
372 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat, const char[]);
373 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefixFactor(Mat, const char[]);
374 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefixFactor(Mat, const char[]);
375 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat, const char[]);
376 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat, const char *[]);
377 PETSC_EXTERN PetscErrorCode MatGetState(Mat, PetscObjectState *);
378 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat, PetscBool);
379 
380 PETSC_EXTERN PetscFunctionList MatList;
381 PETSC_EXTERN PetscFunctionList MatColoringList;
382 PETSC_EXTERN PetscFunctionList MatPartitioningList;
383 
384 /*E
385    MatStructure - Indicates if two matrices have the same nonzero structure
386 
387    Values:
388 +  `SAME_NONZERO_PATTERN`      - the two matrices have identical nonzero patterns
389 .  `DIFFERENT_NONZERO_PATTERN` - the two matrices may have different nonzero patterns
390 .  `SUBSET_NONZERO_PATTERN`    - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
391 -  `UNKNOWN_NONZERO_PATTERN`   - there is no known relationship between the nonzero patterns. In this case the implementations
392                                  may try to detect a relationship to optimize the operation
393 
394    Level: beginner
395 
396    Note:
397    Certain matrix operations (such as `MatAXPY()`) can run much faster if the sparsity pattern of the matrices are the same. But actually determining if
398    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
399    to certain PETSc routines.
400 
401 .seealso: [](ch_matrices), `Mat`, `MatCopy()`, `MatAXPY()`, `MatAYPX()`
402 E*/
403 typedef enum {
404   DIFFERENT_NONZERO_PATTERN,
405   SUBSET_NONZERO_PATTERN,
406   SAME_NONZERO_PATTERN,
407   UNKNOWN_NONZERO_PATTERN
408 } MatStructure;
409 PETSC_EXTERN const char *const MatStructures[];
410 
411 #if defined PETSC_HAVE_MKL_SPARSE
412 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
413 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
414 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
415 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
416 #endif
417 
418 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJPERM(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
419 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJPERM(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
420 
421 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
422 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
423 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat, PetscInt, const PetscInt[]);
424 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
425 PETSC_EXTERN PetscErrorCode MatSeqSELLGetFillRatio(Mat, PetscReal *);
426 PETSC_EXTERN PetscErrorCode MatSeqSELLGetMaxSliceWidth(Mat, PetscInt *);
427 PETSC_EXTERN PetscErrorCode MatSeqSELLGetAvgSliceWidth(Mat, PetscReal *);
428 PETSC_EXTERN PetscErrorCode MatSeqSELLSetSliceHeight(Mat, PetscInt);
429 PETSC_EXTERN PetscErrorCode MatSeqSELLGetVarSliceSize(Mat, PetscReal *);
430 
431 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
432 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
433 PETSC_EXTERN PetscErrorCode MatMPISELLGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
434 PETSC_EXTERN PetscErrorCode MatMPISELLGetSeqSELL(Mat, Mat *, Mat *, const PetscInt *[]);
435 
436 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
437 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
438 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
439 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
440 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
441 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
442 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArray(Mat, const PetscScalar[]);
443 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], PetscInt[], PetscInt[], PetscScalar[], Mat *);
444 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm, PetscInt, PetscInt, Mat, Mat, PetscInt *, Mat *);
445 
446 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
447 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
448 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
449 
450 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat, PetscCount, PetscInt[], PetscInt[]);
451 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat, PetscCount, PetscInt[], PetscInt[]);
452 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat, const PetscScalar[], InsertMode);
453 
454 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscInt[], Mat *);
455 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
456 
457 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
458 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
459 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
460 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
461 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], const PetscInt[]);
462 
463 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, void *, Mat *);
464 PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm, PetscInt, PetscInt, Mat *);
465 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat, Mat *);
466 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat, Mat *);
467 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat, Mat, Vec, Mat, Mat *);
468 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat, Mat *, Mat *, Vec *, Mat *);
469 PETSC_EXTERN PetscErrorCode MatLRCSetMats(Mat, Mat, Mat, Vec, Mat);
470 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, ISLocalToGlobalMapping, ISLocalToGlobalMapping, Mat *);
471 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
472 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
473 
474 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm, VecScatter, Mat *);
475 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat, VecScatter);
476 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat, VecScatter *);
477 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt *, Mat *);
478 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat, Mat);
479 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
480 typedef enum {
481   MAT_COMPOSITE_MERGE_RIGHT,
482   MAT_COMPOSITE_MERGE_LEFT
483 } MatCompositeMergeType;
484 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat, MatCompositeMergeType);
485 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm, PetscInt, const Mat *, Mat *);
486 /*E
487     MatCompositeType - indicates what type of `MATCOMPOSITE` is used
488 
489     Values:
490 +  `MAT_COMPOSITE_ADDITIVE`       - sum of matrices (default)
491 -  `MAT_COMPOSITE_MULTIPLICATIVE` - product of matrices
492 
493     Level: beginner
494 
495 .seealso: [](ch_matrices), `MATCOMPOSITE`, `MatCompositeSetType()`, `MatCompositeGetType()`
496 E*/
497 typedef enum {
498   MAT_COMPOSITE_ADDITIVE,
499   MAT_COMPOSITE_MULTIPLICATIVE
500 } MatCompositeType;
501 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat, MatCompositeType);
502 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat, MatCompositeType *);
503 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat, MatStructure);
504 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat, MatStructure *);
505 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat, PetscInt *);
506 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat, PetscInt, Mat *);
507 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat, const PetscScalar *);
508 
509 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm, PetscInt, const PetscInt[], MatType, Mat *);
510 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm, PetscInt, const PetscInt[], Mat *);
511 
512 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat, Mat *);
513 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat, Mat *);
514 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat, Mat *);
515 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat, Mat *);
516 PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat, Mat *);
517 PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat, Mat *);
518 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat, IS, IS, Mat *);
519 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat, Mat, IS, IS);
520 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat, IS, IS, Mat *);
521 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar, Mat *);
522 PETSC_EXTERN PetscErrorCode MatCreateDiagonal(Vec, Mat *);
523 PETSC_EXTERN PetscErrorCode MatDiagonalGetDiagonal(Mat, Vec *);
524 PETSC_EXTERN PetscErrorCode MatDiagonalRestoreDiagonal(Mat, Vec *);
525 PETSC_EXTERN PetscErrorCode MatDiagonalGetInverseDiagonal(Mat, Vec *);
526 PETSC_EXTERN PetscErrorCode MatDiagonalRestoreInverseDiagonal(Mat, Vec *);
527 PETSC_EXTERN PetscErrorCode MatConstantDiagonalGetConstant(Mat, PetscScalar *);
528 
529 #if defined(PETSC_HAVE_HYPRE)
530 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
531 #endif
532 
533 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat, const char[]);
534 PETSC_EXTERN PetscErrorCode MatPythonGetType(Mat, const char *[]);
535 PETSC_EXTERN PetscErrorCode MatPythonCreate(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const char[], Mat *);
536 
537 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
538 PETSC_EXTERN PetscErrorCode MatResetHash(Mat);
539 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
540 PETSC_EXTERN PetscErrorCode MatDestroy(Mat *);
541 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat, PetscObjectState *);
542 
543 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
544 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
545 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
546 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat, Mat *);
547 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat, PetscScalar *);
548 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat, const PetscScalar **);
549 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat, PetscInt, const PetscInt *, PetscScalar *);
550 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat, Mat);
551 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat, MatReuse, Mat *);
552 PETSC_EXTERN PetscErrorCode MatComputeVariableBlockEnvelope(Mat);
553 
554 PETSC_EXTERN PetscErrorCode MatSetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
555 PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat, IS, IS, const PetscScalar[], InsertMode);
556 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
557 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat, PetscInt, const PetscScalar[]);
558 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat, PetscInt, const PetscScalar[]);
559 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt[], const PetscScalar[]);
560 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat, PetscRandom);
561 
562 /*S
563    MatStencil - Data structure (C struct) for storing information about rows and
564    columns of a matrix as indexed on an associated grid. These are arguments to `MatSetStencil()` and `MatSetBlockStencil()`
565 
566    Level: beginner
567 
568    Notes:
569    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).
570    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.
571 
572    For stencil access to vectors see `DMDAVecGetArray()`
573 
574    For staggered grids, see `DMStagStencil`
575 
576 .seealso: [](ch_matrices), `Mat`, `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`
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    `MatInfo` is a derived type, use e.g. `matinfo%nz_allocated` to access its components.
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, PetscInt, IS[], PetscInt);
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()`, `MatGetValuesLocal()`, `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 *, PetscCount, 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    `MatFactorInfo` is a derived type, use e.g. `matfactorinfo%dt` to access its components.
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; /* BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0 factorization may be faster if do not pivot */
1542   PetscReal zeropivot;     /* pivot is called zero if less than this */
1543   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1544   PetscReal shiftamount;   /* how large the shift is */
1545   PetscBool factoronhost;  /* do factorization on host instead of device (for device matrix types) */
1546   PetscBool solveonhost;   /* do mat solve on host with the factor (for device matrix types) */
1547 } MatFactorInfo;
1548 
1549 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1550 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1551 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1552 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1553 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1554 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1555 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1556 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1557 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1558 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1559 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1560 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1561 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1562 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1563 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1564 PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1565 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1566 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1567 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1568 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1569 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1570 PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1571 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1572 
1573 typedef enum {
1574   MAT_FACTOR_SCHUR_UNFACTORED,
1575   MAT_FACTOR_SCHUR_FACTORED,
1576   MAT_FACTOR_SCHUR_INVERTED
1577 } MatFactorSchurStatus;
1578 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1579 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1580 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1581 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1582 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1583 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1584 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1585 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1586 
1587 PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1588 /*E
1589    MatSORType - What type of (S)SOR to perform
1590 
1591    Values:
1592 +  `SOR_FORWARD_SWEEP`         - do a sweep from the first row of the matrix to the last
1593 .  `SOR_BACKWARD_SWEEP`        - do a sweep from the last row to the first
1594 .  `SOR_SYMMETRIC_SWEEP`       - do a sweep from the first row to the last and then back to the first
1595 .  `SOR_LOCAL_FORWARD_SWEEP`   - each MPI process does its own forward sweep with no communication
1596 .  `SOR_LOCAL_BACKWARD_SWEEP`  - each MPI process does its own backward sweep with no communication
1597 .  `SOR_LOCAL_SYMMETRIC_SWEEP` - each MPI process does its own symmetric sweep with no communication
1598 .  `SOR_ZERO_INITIAL_GUESS`    - indicates the initial solution is zero so the sweep can avoid unneeded computation
1599 .  `SOR_EISENSTAT`             - apply the Eisentat application of SOR, see `PCEISENSTAT`
1600 .  `SOR_APPLY_UPPER`           - multiply by the upper triangular portion of the matrix
1601 -  `SOR_APPLY_LOWER`           - multiply by the lower triangular portion of the matrix
1602 
1603    Level: beginner
1604 
1605    Note:
1606    These may be bitwise ORd together
1607 
1608    Developer Note:
1609    Since `MatSORType` may be bitwise ORd together, so do not change the numerical values below
1610 
1611 .seealso: [](ch_matrices), `MatSOR()`
1612 E*/
1613 typedef enum {
1614   SOR_FORWARD_SWEEP         = 1,
1615   SOR_BACKWARD_SWEEP        = 2,
1616   SOR_SYMMETRIC_SWEEP       = 3,
1617   SOR_LOCAL_FORWARD_SWEEP   = 4,
1618   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1619   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1620   SOR_ZERO_INITIAL_GUESS    = 16,
1621   SOR_EISENSTAT             = 32,
1622   SOR_APPLY_UPPER           = 64,
1623   SOR_APPLY_LOWER           = 128
1624 } MatSORType;
1625 PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);
1626 
1627 /*S
1628    MatColoring - Object for managing the coloring of matrices.
1629 
1630    Level: beginner
1631 
1632    Notes:
1633    Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1634    matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).
1635 
1636    Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1637    same object can also be used to efficiently convert data created by Automatic Differentiation tools to PETSc sparse matrices.
1638 
1639 .seealso: [](ch_matrices), [](sec_graph), `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`,
1640           `MatPartitioning`, `MatColoringType`, `MatPartitioningType`, `MatOrderingType`, `MatColoringSetWeightType()`,
1641           `MatColoringSetWeights()`, `MatCoarsenType`, `MatCoarsen`
1642 S*/
1643 typedef struct _p_MatColoring *MatColoring;
1644 
1645 /*J
1646    MatColoringType - String with the name of a PETSc matrix coloring
1647 
1648    Level: beginner
1649 
1650 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatFDColoringCreate()`, `MatColoringSetType()`, `MatColoring`
1651 J*/
1652 typedef const char *MatColoringType;
1653 #define MATCOLORINGJP      "jp"
1654 #define MATCOLORINGPOWER   "power"
1655 #define MATCOLORINGNATURAL "natural"
1656 #define MATCOLORINGSL      "sl"
1657 #define MATCOLORINGLF      "lf"
1658 #define MATCOLORINGID      "id"
1659 #define MATCOLORINGGREEDY  "greedy"
1660 
1661 /*E
1662    MatColoringWeightType - Type of weight scheme used for the coloring algorithm
1663 
1664    Values:
1665 +  `MAT_COLORING_RANDOM`  - Random weights
1666 .  `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1667 -  `MAT_COLORING_LF`      - Last-first weighting.
1668 
1669     Level: intermediate
1670 
1671 .seealso: [](ch_matrices), `MatColoring`, `MatColoringCreate()`, `MatColoringSetWeightType()`, `MatColoringSetWeights()`
1672 E*/
1673 typedef enum {
1674   MAT_COLORING_WEIGHT_RANDOM,
1675   MAT_COLORING_WEIGHT_LEXICAL,
1676   MAT_COLORING_WEIGHT_LF,
1677   MAT_COLORING_WEIGHT_SL
1678 } MatColoringWeightType;
1679 
1680 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1681 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1682 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1683 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1684 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1685 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1686 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1687 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1688 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1689 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1690 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1691 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1692 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1693 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1694 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1695 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1696 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1697 PETSC_DEPRECATED_FUNCTION(3, 10, 0, "MatColoringTest()", ) static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
1698 {
1699   return MatColoringTest(matcoloring, iscoloring);
1700 }
1701 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);
1702 
1703 /*S
1704    MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring
1705 
1706    Level: beginner
1707 
1708    Notes:
1709    This object is creating utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`
1710 
1711    The `SNES` option `-snes_fd_coloring` will cause the Jacobian needed by `SNES` to be computed via a use of this object
1712 
1713 .seealso: [](ch_matrices), `Mat`, `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1714 S*/
1715 typedef struct _p_MatFDColoring *MatFDColoring;
1716 
1717 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1718 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1719 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1720 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, PetscErrorCode (*)(void), void *);
1721 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, PetscErrorCode (**)(void), void **);
1722 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1723 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1724 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1725 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1726 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1727 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1728 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1729 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);
1730 
1731 /*S
1732    MatTransposeColoring - Object for computing a sparse matrix product $C = A*B^T$ via coloring
1733 
1734    Level: developer
1735 
1736 .seealso: [](ch_matrices), `Mat`, `MatProductType`, `MatTransposeColoringCreate()`
1737 S*/
1738 typedef struct _p_MatTransposeColoring *MatTransposeColoring;
1739 
1740 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1741 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1742 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1743 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);
1744 
1745 /*S
1746    MatPartitioning - Object for managing the partitioning of a matrix or graph
1747 
1748    Level: beginner
1749 
1750    Note:
1751    There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1752    via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)
1753 
1754    Developer Note:
1755    It is an extra maintenance and documentation cost to have two objects with the same functionality. `PetscPartitioner` should be removed
1756 
1757 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`, `MatOrderingType`,
1758           `MatCoarsenType`, `MatCoarsenType`
1759 S*/
1760 typedef struct _p_MatPartitioning *MatPartitioning;
1761 
1762 /*J
1763     MatPartitioningType - String with the name of a PETSc matrix partitioning
1764 
1765    Level: beginner
1766 dm
1767 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`, `MatColoringType`, `MatOrderingType`,
1768           `MatCoarsenType`, `MatCoarsenType`
1769 J*/
1770 typedef const char *MatPartitioningType;
1771 #define MATPARTITIONINGCURRENT  "current"
1772 #define MATPARTITIONINGAVERAGE  "average"
1773 #define MATPARTITIONINGSQUARE   "square"
1774 #define MATPARTITIONINGPARMETIS "parmetis"
1775 #define MATPARTITIONINGCHACO    "chaco"
1776 #define MATPARTITIONINGPARTY    "party"
1777 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1778 #define MATPARTITIONINGHIERARCH "hierarch"
1779 
1780 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1781 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1782 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1783 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1784 PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1785 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1786 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1787 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1788 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1789 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1790 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1791 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1792 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1793 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1794 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1795 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1796 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1797 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1798 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);
1799 
1800 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning);
1801 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1802 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1803 
1804 typedef enum {
1805   MP_CHACO_MULTILEVEL = 1,
1806   MP_CHACO_SPECTRAL   = 2,
1807   MP_CHACO_LINEAR     = 4,
1808   MP_CHACO_RANDOM     = 5,
1809   MP_CHACO_SCATTERED  = 6
1810 } MPChacoGlobalType;
1811 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1812 typedef enum {
1813   MP_CHACO_KERNIGHAN = 1,
1814   MP_CHACO_NONE      = 2
1815 } MPChacoLocalType;
1816 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1817 typedef enum {
1818   MP_CHACO_LANCZOS = 0,
1819   MP_CHACO_RQI     = 1
1820 } MPChacoEigenType;
1821 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1822 
1823 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1824 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1825 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1826 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1827 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1828 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1829 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1830 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1831 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1832 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1833 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);
1834 
1835 #define MP_PARTY_OPT "opt"
1836 #define MP_PARTY_LIN "lin"
1837 #define MP_PARTY_SCA "sca"
1838 #define MP_PARTY_RAN "ran"
1839 #define MP_PARTY_GBF "gbf"
1840 #define MP_PARTY_GCF "gcf"
1841 #define MP_PARTY_BUB "bub"
1842 #define MP_PARTY_DEF "def"
1843 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1844 #define MP_PARTY_HELPFUL_SETS  "hs"
1845 #define MP_PARTY_KERNIGHAN_LIN "kl"
1846 #define MP_PARTY_NONE          "no"
1847 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1848 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1849 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1850 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);
1851 
1852 typedef enum {
1853   MP_PTSCOTCH_DEFAULT,
1854   MP_PTSCOTCH_QUALITY,
1855   MP_PTSCOTCH_SPEED,
1856   MP_PTSCOTCH_BALANCE,
1857   MP_PTSCOTCH_SAFETY,
1858   MP_PTSCOTCH_SCALABILITY
1859 } MPPTScotchStrategyType;
1860 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1861 
1862 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1863 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1864 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1865 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);
1866 
1867 /*
1868  * hierarchical partitioning
1869  */
1870 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1871 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1872 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1873 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1874 
1875 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);
1876 
1877 /*
1878     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/petsc4py/PETSc/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_MATMAT_MULT_SYMBOLIC      = 63,
1945   MATOP_MATMAT_MULT_NUMERIC       = 64,
1946   MATOP_SET_LOCAL_TO_GLOBAL_MAP   = 65,
1947   MATOP_SET_VALUES_LOCAL          = 66,
1948   MATOP_ZERO_ROWS_LOCAL           = 67,
1949   MATOP_GET_ROW_MAX_ABS           = 68,
1950   MATOP_GET_ROW_MIN_ABS           = 69,
1951   MATOP_CONVERT                   = 70,
1952   MATOP_HAS_OPERATION             = 71,
1953   MATOP_FD_COLORING_APPLY         = 72,
1954   MATOP_SET_FROM_OPTIONS          = 73,
1955   MATOP_FIND_ZERO_DIAGONALS       = 74,
1956   MATOP_MULT_MULTIPLE             = 75,
1957   MATOP_SOLVE_MULTIPLE            = 76,
1958   MATOP_GET_INERTIA               = 77,
1959   MATOP_LOAD                      = 78,
1960   MATOP_IS_SYMMETRIC              = 79,
1961   MATOP_IS_HERMITIAN              = 80,
1962   MATOP_IS_STRUCTURALLY_SYMMETRIC = 81,
1963   MATOP_SET_VALUES_BLOCKEDLOCAL   = 82,
1964   MATOP_CREATE_VECS               = 83,
1965   MATOP_MAT_MULT_SYMBOLIC         = 84,
1966   MATOP_MAT_MULT_NUMERIC          = 85,
1967   MATOP_PTAP_NUMERIC              = 86,
1968   MATOP_MAT_TRANSPOSE_MULT_SYMBO  = 87,
1969   MATOP_MAT_TRANSPOSE_MULT_NUMER  = 88,
1970   MATOP_BIND_TO_CPU               = 89,
1971   MATOP_PRODUCTSETFROMOPTIONS     = 90,
1972   MATOP_PRODUCTSYMBOLIC           = 91,
1973   MATOP_PRODUCTNUMERIC            = 92,
1974   MATOP_CONJUGATE                 = 93,
1975   MATOP_VIEW_NATIVE               = 94,
1976   MATOP_SET_VALUES_ROW            = 95,
1977   MATOP_REAL_PART                 = 96,
1978   MATOP_IMAGINARY_PART            = 97,
1979   MATOP_GET_ROW_UPPER_TRIANGULAR  = 98,
1980   MATOP_RESTORE_ROW_UPPER_TRIANG  = 99,
1981   MATOP_MAT_SOLVE                 = 100,
1982   MATOP_MAT_SOLVE_TRANSPOSE       = 101,
1983   MATOP_GET_ROW_MIN               = 102,
1984   MATOP_GET_COLUMN_VECTOR         = 103,
1985   MATOP_MISSING_DIAGONAL          = 104,
1986   MATOP_GET_SEQ_NONZERO_STRUCTUR  = 105,
1987   MATOP_CREATE                    = 106,
1988   MATOP_GET_GHOSTS                = 107,
1989   MATOP_GET_LOCAL_SUB_MATRIX      = 108,
1990   MATOP_RESTORE_LOCALSUB_MATRIX   = 109,
1991   MATOP_MULT_DIAGONAL_BLOCK       = 110,
1992   MATOP_HERMITIAN_TRANSPOSE       = 111,
1993   MATOP_MULT_HERMITIAN_TRANSPOSE  = 112,
1994   MATOP_MULT_HERMITIAN_TRANS_ADD  = 113,
1995   MATOP_GET_MULTI_PROC_BLOCK      = 114,
1996   MATOP_FIND_NONZERO_ROWS         = 115,
1997   MATOP_GET_COLUMN_NORMS          = 116,
1998   MATOP_INVERT_BLOCK_DIAGONAL     = 117,
1999   MATOP_INVERT_VBLOCK_DIAGONAL    = 118,
2000   MATOP_CREATE_SUB_MATRICES_MPI   = 119,
2001   MATOP_SET_VALUES_BATCH          = 120,
2002   MATOP_TRANSPOSE_MAT_MULT_SYMBO  = 121,
2003   MATOP_TRANSPOSE_MAT_MULT_NUMER  = 122,
2004   MATOP_TRANSPOSE_COLORING_CREAT  = 123,
2005   MATOP_TRANS_COLORING_APPLY_SPT  = 124,
2006   MATOP_TRANS_COLORING_APPLY_DEN  = 125,
2007   MATOP_RART_NUMERIC              = 126,
2008   MATOP_SET_BLOCK_SIZES           = 127,
2009   MATOP_RESIDUAL                  = 128,
2010   MATOP_FDCOLORING_SETUP          = 129,
2011   MATOP_FIND_OFFBLOCK_ENTRIES     = 130,
2012   MATOP_MPICONCATENATESEQ         = 131,
2013   MATOP_DESTROYSUBMATRICES        = 132,
2014   MATOP_MAT_TRANSPOSE_SOLVE       = 133,
2015   MATOP_GET_VALUES_LOCAL          = 134,
2016   MATOP_CREATE_GRAPH              = 135,
2017   MATOP_TRANSPOSE_SYMBOLIC        = 136,
2018   MATOP_ELIMINATE_ZEROS           = 137,
2019   MATOP_GET_ROW_SUM_ABS           = 138,
2020   MATOP_GET_FACTOR                = 139,
2021   MATOP_GET_BLOCK_DIAGONAL        = 140, /* NOTE: caller of the two op functions owns the returned matrix */
2022   MATOP_GET_VBLOCK_DIAGONAL       = 141, /* and need to destroy it after use. */
2023   MATOP_COPY_HASH_TO_XAIJ         = 142
2024 } MatOperation;
2025 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, void (*)(void));
2026 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, void (**)(void));
2027 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
2028 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
2029 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatProductClear()", ) static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
2030 {
2031   return MatProductClear(A);
2032 }
2033 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, void (*)(void));
2034 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, void (**)(void));
2035 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, void *);
2036 PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscCtxDestroyFn *);
2037 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
2038 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2039 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2040 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
2041 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscErrorCode (*)(void *), MatType, MatType);
2042 PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);
2043 
2044 /*
2045    Codes for matrices stored on disk. By default they are
2046    stored in a universal format. By changing the format with
2047    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
2048    be stored in a way natural for the matrix, for example dense matrices
2049    would be stored as dense. Matrices stored this way may only be
2050    read into matrices of the same type.
2051 */
2052 #define MATRIX_BINARY_FORMAT_DENSE -1
2053 
2054 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);
2055 
2056 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
2057 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
2058 PETSC_EXTERN PetscErrorCode MatISSetAllowRepeated(Mat, PetscBool);
2059 PETSC_EXTERN PetscErrorCode MatISGetAllowRepeated(Mat, PetscBool *);
2060 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
2061 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
2062 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
2063 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
2064 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
2065 PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
2066 
2067 /*S
2068    MatNullSpace - Object that removes a null space from a vector, i.e.
2069                   orthogonalizes the vector to a subspace
2070 
2071    Level: advanced
2072 
2073 .seealso: [](ch_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2074 S*/
2075 typedef struct _p_MatNullSpace *MatNullSpace;
2076 
2077 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
2078 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, PetscErrorCode (*)(MatNullSpace, Vec, void *), void *);
2079 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
2080 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
2081 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
2082 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
2083 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
2084 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
2085 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
2086 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
2087 PETSC_EXTERN PetscErrorCode MatGetNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2088 PETSC_EXTERN PetscErrorCode MatRestoreNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2089 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
2090 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
2091 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
2092 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);
2093 
2094 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
2095 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
2096 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);
2097 
2098 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
2099 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
2100 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);
2101 
2102 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
2103 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);
2104 
2105 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperator()", ) static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
2106 {
2107   return MatComputeOperator(A, PETSC_NULLPTR, B);
2108 }
2109 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperatorTranspose()", ) static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
2110 {
2111   return MatComputeOperatorTranspose(A, PETSC_NULLPTR, B);
2112 }
2113 
2114 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
2115 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
2116 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
2117 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2118 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
2119 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
2120 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
2121 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2122 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
2123 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
2124 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
2125 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
2126 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
2127 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);
2128 
2129 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);
2130 
2131 PETSC_EXTERN PetscErrorCode MatMFFDInitializePackage(void);
2132 PETSC_EXTERN PetscErrorCode MatMFFDFinalizePackage(void);
2133 
2134 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2135 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
2136 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, PetscErrorCode (*)(void *, Vec, Vec), void *);
2137 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, PetscErrorCode (*)(void *, PetscInt, Vec, PetscScalar *));
2138 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, PetscErrorCode (*)(void *, Vec));
2139 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
2140 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
2141 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
2142 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
2143 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
2144 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
2145 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
2146 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, PetscErrorCode (*)(void *, Vec, Vec, PetscScalar *), void *);
2147 
2148 /*S
2149     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2150               Jacobian vector products
2151 
2152     Level: developer
2153 
2154     Notes:
2155     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure
2156 
2157      MatMFFD*() methods actually take the `Mat` as their first argument. Not a `MatMFFD` data structure
2158 
2159     This functionality is often obtained using `MatCreateSNESMF()` or with `SNES` solvers using `-snes_mf` or `-snes_mf_operator`
2160 
2161 .seealso: [](ch_matrices), `MatMFFDType`, `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`,
2162           `MatCreateSNESMF()`, `SNES`, `-snes_mf`, `-snes_mf_operator`
2163 S*/
2164 typedef struct _p_MatMFFD *MatMFFD;
2165 
2166 /*J
2167    MatMFFDType - algorithm used to compute the `h` used in computing matrix-vector products via differencing of a function
2168 
2169    Values:
2170 +   `MATMFFD_DS` - an algorithm described by Dennis and Schnabel {cite}`dennis:83`
2171 -   `MATMFFD_WP` - the Walker-Pernice {cite}`pw98` strategy.
2172 
2173    Level: beginner
2174 
2175 .seealso: [](ch_matrices), `MatMFFDSetType()`, `MatMFFDRegister()`, `MatMFFDSetFunction()`, `MatCreateMFFD()`
2176 J*/
2177 typedef const char *MatMFFDType;
2178 #define MATMFFD_DS "ds"
2179 #define MATMFFD_WP "wp"
2180 
2181 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2182 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));
2183 
2184 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2185 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);
2186 
2187 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);
2188 
2189 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2190 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
2191 
2192 #ifdef PETSC_HAVE_H2OPUS
2193 PETSC_EXTERN_TYPEDEF typedef PetscScalar(MatH2OpusKernelFn)(PetscInt, PetscReal[], PetscReal[], void *);
2194 PETSC_EXTERN_TYPEDEF typedef MatH2OpusKernelFn *MatH2OpusKernel;
2195 
2196 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernelFn *, void *, PetscReal, PetscInt, PetscInt, Mat *);
2197 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2198 PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2199 PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
2200 PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat, PetscReal);
2201 PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat, PetscBool);
2202 PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat, PetscBool *);
2203 PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat, IS *);
2204 PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2205 PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2206 #endif
2207 
2208 #ifdef PETSC_HAVE_HTOOL
2209 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(MatHtoolKernelFn)(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2210 PETSC_EXTERN_TYPEDEF typedef MatHtoolKernelFn *MatHtoolKernel;
2211 
2212 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernelFn *, void *, Mat *);
2213 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat, MatHtoolKernelFn *, void *);
2214 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat, IS *);
2215 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat, IS *);
2216 PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat, PetscBool);
2217 
2218 /*E
2219    MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`
2220 
2221    Values:
2222 +  `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2223 .  `MAT_HTOOL_COMPRESSOR_FULL_ACA`                 - full adaptive cross approximation
2224 -  `MAT_HTOOL_COMPRESSOR_SVD`                      - singular value decomposition
2225 
2226    Level: intermediate
2227 
2228 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2229 E*/
2230 typedef enum {
2231   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2232   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2233   MAT_HTOOL_COMPRESSOR_SVD
2234 } MatHtoolCompressorType;
2235 
2236 /*E
2237    MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`
2238 
2239    Values:
2240 +  `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default)    - axis computed via principle component analysis, split uniformly
2241 .  `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC`            - axis computed via principle component analysis, split barycentrically
2242 .  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR`   - axis along the largest extent of the bounding box, split uniformly
2243 -  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically
2244 
2245    Level: intermediate
2246 
2247    Note:
2248    Higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
2249 
2250 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2251 E*/
2252 typedef enum {
2253   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2254   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2255   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2256   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2257 } MatHtoolClusteringType;
2258 #endif
2259 
2260 #ifdef PETSC_HAVE_MUMPS
2261 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2262 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2263 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2264 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);
2265 
2266 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2267 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2268 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2269 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2270 PETSC_EXTERN PetscErrorCode MatMumpsGetNullPivots(Mat, PetscInt *, PetscInt **);
2271 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2272 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2273 #endif
2274 
2275 #ifdef PETSC_HAVE_MKL_PARDISO
2276 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2277 #endif
2278 
2279 #ifdef PETSC_HAVE_MKL_CPARDISO
2280 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2281 #endif
2282 
2283 #ifdef PETSC_HAVE_SUPERLU
2284 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2285 #endif
2286 
2287 #ifdef PETSC_HAVE_SUPERLU_DIST
2288 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2289 #endif
2290 
2291 #ifdef PETSC_HAVE_STRUMPACK
2292 /*E
2293     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `MATSOLVERSTRUMPACK`
2294 
2295     Values:
2296 +  `MAT_STRUMPACK_NATURAL`   - use the current ordering
2297 .  `MAT_STRUMPACK_METIS`     - use MeTis to compute an ordering
2298 .  `MAT_STRUMPACK_PARMETIS`  - use ParMeTis to compute an ordering
2299 .  `MAT_STRUMPACK_SCOTCH`    - use Scotch to compute an ordering
2300 .  `MAT_STRUMPACK_PTSCOTCH`  - use parallel Scotch to compute an ordering
2301 .  `MAT_STRUMPACK_RCM`       - use an RCM ordering
2302 .  `MAT_STRUMPACK_GEOMETRIC` - use a geometric ordering (needs mesh info from user)
2303 .  `MAT_STRUMPACK_AMD`       - approximate minimum degree
2304 .  `MAT_STRUMPACK_MMD`       - multiple minimum degree
2305 .  `MAT_STRUMPACK_AND`       - approximate nested dissection
2306 .  `MAT_STRUMPACK_MLF`       - minimum local fill
2307 -  `MAT_STRUMPACK_SPECTRAL`  - spectral nested dissection
2308 
2309     Level: intermediate
2310 
2311     Developer Note:
2312     Should be called `MatSTRUMPACKReorderingType`
2313 
2314 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetReordering()`
2315 E*/
2316 typedef enum {
2317   MAT_STRUMPACK_NATURAL,
2318   MAT_STRUMPACK_METIS,
2319   MAT_STRUMPACK_PARMETIS,
2320   MAT_STRUMPACK_SCOTCH,
2321   MAT_STRUMPACK_PTSCOTCH,
2322   MAT_STRUMPACK_RCM,
2323   MAT_STRUMPACK_GEOMETRIC,
2324   MAT_STRUMPACK_AMD,
2325   MAT_STRUMPACK_MMD,
2326   MAT_STRUMPACK_AND,
2327   MAT_STRUMPACK_MLF,
2328   MAT_STRUMPACK_SPECTRAL
2329 } MatSTRUMPACKReordering;
2330 
2331 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2332 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetReordering(Mat, MatSTRUMPACKReordering *);
2333 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricNxyz(Mat, PetscInt, PetscInt, PetscInt);
2334 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricComponents(Mat, PetscInt);
2335 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricWidth(Mat, PetscInt);
2336 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2337 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetColPerm(Mat, PetscBool *);
2338 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGPU(Mat, PetscBool);
2339 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetGPU(Mat, PetscBool *);
2340 
2341 /*E
2342     MatSTRUMPACKCompressionType - Compression used in the approximate sparse factorization solver `MATSOLVERSTRUMPACK`
2343 
2344     Values:
2345 +  `MAT_STRUMPACK_COMPRESSION_TYPE_NONE`          - no compression, direct solver
2346 .  `MAT_STRUMPACK_COMPRESSION_TYPE_HSS`           - hierarchically semi-separable
2347 .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR`           - block low rank
2348 .  `MAT_STRUMPACK_COMPRESSION_TYPE_HODLR`         - hierarchically off-diagonal low rank (requires ButterfyPACK support, configure with --download-butterflypack)
2349 .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR`     - hybrid of BLR and HODLR (requires ButterfyPACK support, configure with --download-butterflypack)
2350 .  `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)
2351 .  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS`      - lossless compression (requires ZFP support, configure with --download-zfp)
2352 -  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY`         - lossy compression (requires ZFP support, configure with --download-zfp)
2353 
2354     Level: intermediate
2355 
2356 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetCompression()`
2357 E*/
2358 typedef enum {
2359   MAT_STRUMPACK_COMPRESSION_TYPE_NONE,
2360   MAT_STRUMPACK_COMPRESSION_TYPE_HSS,
2361   MAT_STRUMPACK_COMPRESSION_TYPE_BLR,
2362   MAT_STRUMPACK_COMPRESSION_TYPE_HODLR,
2363   MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR,
2364   MAT_STRUMPACK_COMPRESSION_TYPE_ZFP_BLR_HODLR,
2365   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS,
2366   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY
2367 } MatSTRUMPACKCompressionType;
2368 
2369 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompression(Mat, MatSTRUMPACKCompressionType);
2370 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompression(Mat, MatSTRUMPACKCompressionType *);
2371 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompRelTol(Mat, PetscReal);
2372 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompRelTol(Mat, PetscReal *);
2373 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompAbsTol(Mat, PetscReal);
2374 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompAbsTol(Mat, PetscReal *);
2375 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompMinSepSize(Mat, PetscInt);
2376 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompMinSepSize(Mat, PetscInt *);
2377 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLeafSize(Mat, PetscInt);
2378 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLeafSize(Mat, PetscInt *);
2379 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLossyPrecision(Mat, PetscInt);
2380 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLossyPrecision(Mat, PetscInt *);
2381 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompButterflyLevels(Mat, PetscInt);
2382 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompButterflyLevels(Mat, PetscInt *);
2383 #endif
2384 
2385 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2386 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2387 PETSC_DEPRECATED_FUNCTION(3, 13, 0, "MatBindToCPU()", ) static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2388 {
2389   return MatBindToCPU(A, flg);
2390 }
2391 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2392 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);
2393 
2394 #ifdef PETSC_HAVE_CUDA
2395 /*E
2396     MatCUSPARSEStorageFormat - indicates the storage format for `MATAIJCUSPARSE` (GPU)
2397     matrices.
2398 
2399     Values:
2400 +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2401 .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2402 -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2403 
2404     Level: intermediate
2405 
2406 .seealso: [](ch_matrices), `MATAIJCUSPARSE`, `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2407 E*/
2408 
2409 typedef enum {
2410   MAT_CUSPARSE_CSR,
2411   MAT_CUSPARSE_ELL,
2412   MAT_CUSPARSE_HYB
2413 } MatCUSPARSEStorageFormat;
2414 
2415 /* these will be strings associated with enumerated type defined above */
2416 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2417 
2418 /*E
2419     MatCUSPARSEFormatOperation - indicates the operation of `MATAIJCUSPARSE` (GPU)
2420     matrices whose operation should use a particular storage format.
2421 
2422     Values:
2423 +   `MAT_CUSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2424 .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2425 .   `MAT_CUSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2426 -   `MAT_CUSPARSE_ALL`          - sets the storage format for all `MATAIJCUSPARSE` (GPU) matrices
2427 
2428     Level: intermediate
2429 
2430 .seealso: [](ch_matrices), `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2431 E*/
2432 typedef enum {
2433   MAT_CUSPARSE_MULT_DIAG,
2434   MAT_CUSPARSE_MULT_OFFDIAG,
2435   MAT_CUSPARSE_MULT,
2436   MAT_CUSPARSE_ALL
2437 } MatCUSPARSEFormatOperation;
2438 
2439 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2440 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2441 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2442 PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2443 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2444 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2445 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2446 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2447 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2448 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2449 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2450 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);
2451 
2452 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2453 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2454 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2455 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2456 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2457 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2458 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2459 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2460 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2461 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2462 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2463 PETSC_EXTERN PetscErrorCode MatDenseCUDASetPreallocation(Mat, PetscScalar *);
2464 
2465 PETSC_EXTERN PetscErrorCode MatCreateSeqSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2466 PETSC_EXTERN PetscErrorCode MatCreateSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2467 #endif
2468 
2469 #ifdef PETSC_HAVE_HIP
2470 /*E
2471     MatHIPSPARSEStorageFormat - indicates the storage format for `MATAIJHIPSPARSE` (GPU)
2472     matrices.
2473 
2474     Values:
2475 +   `MAT_HIPSPARSE_CSR` - Compressed Sparse Row
2476 .   `MAT_HIPSPARSE_ELL` - Ellpack
2477 -   `MAT_HIPSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format
2478 
2479     Level: intermediate
2480 
2481 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
2482 E*/
2483 
2484 typedef enum {
2485   MAT_HIPSPARSE_CSR,
2486   MAT_HIPSPARSE_ELL,
2487   MAT_HIPSPARSE_HYB
2488 } MatHIPSPARSEStorageFormat;
2489 
2490 /* these will be strings associated with enumerated type defined above */
2491 PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];
2492 
2493 /*E
2494     MatHIPSPARSEFormatOperation - indicates the operation of `MATAIJHIPSPARSE` (GPU)
2495     matrices whose operation should use a particular storage format.
2496 
2497     Values:
2498 +   `MAT_HIPSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2499 .   `MAT_HIPSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2500 .   `MAT_HIPSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2501 -   `MAT_HIPSPARSE_ALL`          - sets the storage format for all HIPSPARSE (GPU) matrices
2502 
2503     Level: intermediate
2504 
2505 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
2506 E*/
2507 typedef enum {
2508   MAT_HIPSPARSE_MULT_DIAG,
2509   MAT_HIPSPARSE_MULT_OFFDIAG,
2510   MAT_HIPSPARSE_MULT,
2511   MAT_HIPSPARSE_ALL
2512 } MatHIPSPARSEFormatOperation;
2513 
2514 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2515 PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2516 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
2517 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
2518 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2519 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2520 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
2521 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
2522 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
2523 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
2524 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
2525 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);
2526 
2527 PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2528 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2529 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
2530 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
2531 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
2532 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
2533 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
2534 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
2535 PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
2536 PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
2537 PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);
2538 PETSC_EXTERN PetscErrorCode MatDenseHIPSetPreallocation(Mat, PetscScalar *);
2539 PETSC_EXTERN PetscErrorCode MatCreateSeqSELLHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2540 PETSC_EXTERN PetscErrorCode MatCreateSELLHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2541 #endif
2542 
2543 #if defined(PETSC_HAVE_VIENNACL)
2544 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2545 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2546 #endif
2547 
2548 #if PetscDefined(HAVE_KOKKOS)
2549 PETSC_EXTERN PetscErrorCode MatCreateAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2550 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2551 #endif
2552 
2553 #if defined(PETSC_HAVE_FFTW)
2554 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2555 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2556 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2557 #endif
2558 
2559 #if defined(PETSC_HAVE_SCALAPACK)
2560 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2561 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2562 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2563 #endif
2564 
2565 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2566 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2567 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2568 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2569 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2570 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2571 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2572 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2573 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);
2574 
2575 PETSC_EXTERN PetscErrorCode MatFilter(Mat, PetscReal, PetscBool, PetscBool);
2576 PETSC_DEPRECATED_FUNCTION(3, 20, 0, "MatFilter()", ) static inline PetscErrorCode MatChop(Mat A, PetscReal tol)
2577 {
2578   return MatFilter(A, tol, PETSC_FALSE, PETSC_FALSE);
2579 }
2580 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);
2581 
2582 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);
2583 
2584 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);
2585 
2586 PETSC_EXTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2587 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);
2588 
2589 PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);
2590 
2591 PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, PetscInt, PetscInt[], Mat *);
2592 PETSC_EXTERN PetscErrorCode MatEliminateZeros(Mat, PetscBool);
2593 
2594 PETSC_EXTERN PetscErrorCode MatCreateDenseFromVecType(MPI_Comm, VecType, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar *, Mat *);
2595 
2596 PETSC_EXTERN PetscErrorCode MatSetHPL(Mat, int);
2597 #define PETSCBMHPL "hpl"
2598 
2599 PETSC_EXTERN PetscErrorCode MatDFischer(Mat, Vec, Vec, Vec, Vec, Vec, Vec, Vec, Vec);
2600