xref: /petsc/include/petscmat.h (revision 5d8720fa41fb4169420198de95a3fb9ffc339d07)
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 = 0,
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, Mat, Mat, const 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 
528 #if defined(PETSC_HAVE_HYPRE)
529 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
530 #endif
531 
532 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat, const char[]);
533 PETSC_EXTERN PetscErrorCode MatPythonGetType(Mat, const char *[]);
534 PETSC_EXTERN PetscErrorCode MatPythonCreate(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const char[], Mat *);
535 
536 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
537 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
538 PETSC_EXTERN PetscErrorCode MatDestroy(Mat *);
539 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat, PetscObjectState *);
540 
541 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
542 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
543 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
544 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat, Mat *);
545 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat, PetscScalar *);
546 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat, const PetscScalar **);
547 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat, PetscInt, const PetscInt *, PetscScalar *);
548 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat, Mat);
549 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat, MatReuse, Mat *);
550 PETSC_EXTERN PetscErrorCode MatComputeVariableBlockEnvelope(Mat);
551 
552 PETSC_EXTERN PetscErrorCode MatSetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
553 PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat, IS, IS, const PetscScalar[], InsertMode);
554 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
555 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat, PetscInt, const PetscScalar[]);
556 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat, PetscInt, const PetscScalar[]);
557 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt[], const PetscScalar[]);
558 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat, PetscRandom);
559 
560 /*S
561    MatStencil - Data structure (C struct) for storing information about rows and
562    columns of a matrix as indexed on an associated grid. These are arguments to `MatSetStencil()` and `MatSetBlockStencil()`
563 
564    Level: beginner
565 
566    Notes:
567    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).
568    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.
569 
570    For stencil access to vectors see `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`.
571 
572    For staggered grids, see `DMStagStencil`
573 
574    Fortran Note:
575    See `MatSetValuesStencil()` for details.
576 
577 .seealso: [](ch_matrices), `Mat`, `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`,
578           `DMStagStencil`
579 S*/
580 typedef struct {
581   PetscInt k, j, i, c;
582 } MatStencil;
583 
584 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
585 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
586 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat, PetscInt, const PetscInt[], const PetscInt[], PetscInt);
587 
588 /*E
589     MatAssemblyType - Indicates if the process of setting values into the matrix is complete, and the matrix is ready for use
590 
591     Values:
592 +   `MAT_FLUSH_ASSEMBLY` - you will continue to put values into the matrix
593 -   `MAT_FINAL_ASSEMBLY` - you wish to use the matrix with the values currently inserted
594 
595     Level: beginner
596 
597 .seealso: [](ch_matrices), `Mat`, `MatSetValues`, `MatAssemblyBegin()`, `MatAssemblyEnd()`
598 E*/
599 typedef enum {
600   MAT_FLUSH_ASSEMBLY = 1,
601   MAT_FINAL_ASSEMBLY = 0
602 } MatAssemblyType;
603 
604 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat, MatAssemblyType);
605 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat, MatAssemblyType);
606 PETSC_EXTERN PetscErrorCode MatAssembled(Mat, PetscBool *);
607 
608 /*E
609    MatOption - Options that may be set for a matrix that indicate properties of the matrix or affect its behavior or storage
610 
611    Level: beginner
612 
613    Note:
614    See `MatSetOption()` for the use of the options
615 
616    Developer Note:
617    Entries that are negative need not be called collectively by all processes.
618 
619 .seealso: [](ch_matrices), `Mat`, `MatSetOption()`
620 E*/
621 typedef enum {
622   MAT_OPTION_MIN                  = -3,
623   MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
624   MAT_ROW_ORIENTED                = -1,
625   MAT_SYMMETRIC                   = 1,
626   MAT_STRUCTURALLY_SYMMETRIC      = 2,
627   MAT_FORCE_DIAGONAL_ENTRIES      = 3,
628   MAT_IGNORE_OFF_PROC_ENTRIES     = 4,
629   MAT_USE_HASH_TABLE              = 5,
630   MAT_KEEP_NONZERO_PATTERN        = 6,
631   MAT_IGNORE_ZERO_ENTRIES         = 7,
632   MAT_USE_INODES                  = 8,
633   MAT_HERMITIAN                   = 9,
634   MAT_SYMMETRY_ETERNAL            = 10,
635   MAT_NEW_NONZERO_LOCATION_ERR    = 11,
636   MAT_IGNORE_LOWER_TRIANGULAR     = 12,
637   MAT_ERROR_LOWER_TRIANGULAR      = 13,
638   MAT_GETROW_UPPERTRIANGULAR      = 14,
639   MAT_SPD                         = 15,
640   MAT_NO_OFF_PROC_ZERO_ROWS       = 16,
641   MAT_NO_OFF_PROC_ENTRIES         = 17,
642   MAT_NEW_NONZERO_LOCATIONS       = 18,
643   MAT_NEW_NONZERO_ALLOCATION_ERR  = 19,
644   MAT_SUBSET_OFF_PROC_ENTRIES     = 20,
645   MAT_SUBMAT_SINGLEIS             = 21,
646   MAT_STRUCTURE_ONLY              = 22,
647   MAT_SORTED_FULL                 = 23,
648   MAT_FORM_EXPLICIT_TRANSPOSE     = 24,
649   MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
650   MAT_SPD_ETERNAL                 = 26,
651   MAT_OPTION_MAX                  = 27
652 } MatOption;
653 
654 PETSC_EXTERN const char *const *MatOptions;
655 PETSC_EXTERN PetscErrorCode     MatSetOption(Mat, MatOption, PetscBool);
656 PETSC_EXTERN PetscErrorCode     MatGetOption(Mat, MatOption, PetscBool *);
657 PETSC_EXTERN PetscErrorCode     MatPropagateSymmetryOptions(Mat, Mat);
658 PETSC_EXTERN PetscErrorCode     MatGetType(Mat, MatType *);
659 
660 PETSC_EXTERN PetscErrorCode    MatGetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
661 PETSC_EXTERN PetscErrorCode    MatGetRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
662 PETSC_EXTERN PetscErrorCode    MatRestoreRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
663 PETSC_EXTERN PetscErrorCode    MatGetRowUpperTriangular(Mat);
664 PETSC_EXTERN PetscErrorCode    MatRestoreRowUpperTriangular(Mat);
665 PETSC_EXTERN PetscErrorCode    MatGetColumnVector(Mat, Vec, PetscInt);
666 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArray(Mat, PetscScalar *[]);
667 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayRead(Mat, const PetscScalar *[]);
668 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayWrite(Mat, PetscScalar *[]);
669 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArray(Mat, PetscScalar *[]);
670 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayRead(Mat, const PetscScalar *[]);
671 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayWrite(Mat, PetscScalar *[]);
672 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetMaxRowNonzeros(Mat, PetscInt *);
673 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetValuesLocalFast(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
674 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetType(Mat, MatType);
675 PETSC_EXTERN PetscErrorCode    MatSeqAIJKron(Mat, Mat, MatReuse, Mat *);
676 PETSC_EXTERN PetscErrorCode    MatSeqAIJRegister(const char[], PetscErrorCode (*)(Mat, MatType, MatReuse, Mat *));
677 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
678 PETSC_EXTERN PetscErrorCode    MatSeqBAIJGetArray(Mat, PetscScalar *[]);
679 PETSC_EXTERN PetscErrorCode    MatSeqBAIJRestoreArray(Mat, PetscScalar *[]);
680 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJGetArray(Mat, PetscScalar *[]);
681 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJRestoreArray(Mat, PetscScalar *[]);
682 PETSC_EXTERN PetscErrorCode    MatDenseGetArray(Mat, PetscScalar *[]);
683 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArray(Mat, PetscScalar *[]);
684 PETSC_EXTERN PetscErrorCode    MatDensePlaceArray(Mat, const PetscScalar[]);
685 PETSC_EXTERN PetscErrorCode    MatDenseReplaceArray(Mat, const PetscScalar[]);
686 PETSC_EXTERN PetscErrorCode    MatDenseResetArray(Mat);
687 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayRead(Mat, const PetscScalar *[]);
688 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayRead(Mat, const PetscScalar *[]);
689 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWrite(Mat, PetscScalar *[]);
690 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWrite(Mat, PetscScalar *[]);
691 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayAndMemType(Mat, PetscScalar *[], PetscMemType *);
692 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayAndMemType(Mat, PetscScalar *[]);
693 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayReadAndMemType(Mat, const PetscScalar *[], PetscMemType *);
694 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayReadAndMemType(Mat, const PetscScalar *[]);
695 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWriteAndMemType(Mat, PetscScalar *[], PetscMemType *);
696 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWriteAndMemType(Mat, PetscScalar *[]);
697 PETSC_EXTERN PetscErrorCode    MatGetBlockSize(Mat, PetscInt *);
698 PETSC_EXTERN PetscErrorCode    MatSetBlockSize(Mat, PetscInt);
699 PETSC_EXTERN PetscErrorCode    MatGetBlockSizes(Mat, PetscInt *, PetscInt *);
700 PETSC_EXTERN PetscErrorCode    MatSetBlockSizes(Mat, PetscInt, PetscInt);
701 PETSC_EXTERN PetscErrorCode    MatSetBlockSizesFromMats(Mat, Mat, Mat);
702 PETSC_EXTERN PetscErrorCode    MatSetVariableBlockSizes(Mat, PetscInt, const PetscInt[]);
703 PETSC_EXTERN PetscErrorCode    MatGetVariableBlockSizes(Mat, PetscInt *, const PetscInt *[]);
704 
705 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat, PetscInt, PetscScalar *[]);
706 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat, PetscScalar *[]);
707 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat, PetscInt, Vec *);
708 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat, PetscInt, Vec *);
709 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat, PetscInt, Vec *);
710 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat, PetscInt, Vec *);
711 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat, PetscInt, Vec *);
712 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat, PetscInt, Vec *);
713 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
714 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat, Mat *);
715 
716 PETSC_EXTERN PetscErrorCode MatMult(Mat, Vec, Vec);
717 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat, Vec, Vec);
718 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat, Vec, Vec, Vec);
719 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat, Vec, Vec);
720 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat, Vec, Vec);
721 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat, Mat, PetscReal, PetscBool *);
722 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat, Mat, PetscReal, PetscBool *);
723 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat, Vec, Vec, Vec);
724 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat, Vec, Vec, Vec);
725 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat, Mat, Mat);
726 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat, Mat, Mat);
727 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat, Mat, Mat);
728 PETSC_EXTERN PetscErrorCode MatResidual(Mat, Vec, Vec, Vec);
729 
730 /*E
731   MatDuplicateOption - Indicates if a duplicated sparse matrix should have
732   its numerical values copied over or just its nonzero structure.
733 
734   Values:
735 + `MAT_DO_NOT_COPY_VALUES`    - Create a matrix using the same nonzero pattern as the original matrix,
736                                 with zeros for the numerical values
737 . `MAT_COPY_VALUES`           - Create a matrix with the same nonzero pattern as the original matrix
738                                 and with the same numerical values.
739 - `MAT_SHARE_NONZERO_PATTERN` - Create a matrix that shares the nonzero structure with the previous matrix
740                                 and does not copy it, using zeros for the numerical values. The parent and
741                                 child matrices will share their index (i and j) arrays, and you cannot
742                                 insert new nonzero entries into either matrix
743 
744   Level: beginner
745 
746   Note:
747   Many matrix types (including `MATSEQAIJ`) do not support the `MAT_SHARE_NONZERO_PATTERN` optimization; in
748   this case the behavior is as if `MAT_DO_NOT_COPY_VALUES` has been specified.
749 
750 .seealso: [](ch_matrices), `Mat`, `MatDuplicate()`
751 E*/
752 typedef enum {
753   MAT_DO_NOT_COPY_VALUES,
754   MAT_COPY_VALUES,
755   MAT_SHARE_NONZERO_PATTERN
756 } MatDuplicateOption;
757 
758 PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
759 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);
760 
761 PETSC_EXTERN PetscErrorCode MatCopy(Mat, Mat, MatStructure);
762 PETSC_EXTERN PetscErrorCode MatView(Mat, PetscViewer);
763 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat, PetscReal, PetscBool *);
764 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat, PetscBool *);
765 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat, PetscReal, PetscBool *);
766 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat, PetscBool *, PetscBool *);
767 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat, PetscBool *, PetscBool *);
768 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat, PetscBool *, PetscBool *);
769 PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat, PetscBool *, PetscBool *);
770 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat, PetscBool *, PetscInt *);
771 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
772 
773 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
774 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
775 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
776 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
777 
778 /*S
779    MatInfo - Context of matrix information, used with `MatGetInfo()`
780 
781    Level: intermediate
782 
783    Fortran Note:
784    Information is stored as a double-precision array of dimension `MAT_INFO_SIZE`
785 
786 .seealso: [](ch_matrices), `Mat`, `MatGetInfo()`, `MatInfoType`
787 S*/
788 typedef struct {
789   PetscLogDouble block_size;                          /* block size */
790   PetscLogDouble nz_allocated, nz_used, nz_unneeded;  /* number of nonzeros */
791   PetscLogDouble memory;                              /* memory allocated */
792   PetscLogDouble assemblies;                          /* number of matrix assemblies called */
793   PetscLogDouble mallocs;                             /* number of mallocs during MatSetValues() */
794   PetscLogDouble fill_ratio_given, fill_ratio_needed; /* fill ratio for LU/ILU */
795   PetscLogDouble factor_mallocs;                      /* number of mallocs during factorization */
796 } MatInfo;
797 
798 /*E
799     MatInfoType - Indicates if you want information about the local part of the matrix,
800     the entire parallel matrix or the maximum over all the local parts.
801 
802     Values:
803 +   `MAT_LOCAL`      - values for each MPI process part of the matrix
804 .   `MAT_GLOBAL_MAX` - maximum of each value over all MPI processes
805 -   `MAT_GLOBAL_SUM` - sum of each value over all MPI processes
806 
807     Level: beginner
808 
809 .seealso: [](ch_matrices), `MatGetInfo()`, `MatInfo`
810 E*/
811 typedef enum {
812   MAT_LOCAL      = 1,
813   MAT_GLOBAL_MAX = 2,
814   MAT_GLOBAL_SUM = 3
815 } MatInfoType;
816 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat, MatInfoType, MatInfo *);
817 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat, Vec);
818 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat, Vec, PetscInt[]);
819 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat, Vec, PetscInt[]);
820 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat, Vec, PetscInt[]);
821 PETSC_EXTERN PetscErrorCode MatGetRowSumAbs(Mat, Vec);
822 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat, Vec, PetscInt[]);
823 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat, Vec);
824 PETSC_EXTERN PetscErrorCode MatTranspose(Mat, MatReuse, Mat *);
825 PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat, Mat *);
826 PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat, Mat);
827 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat, MatReuse, Mat *);
828 PETSC_EXTERN PetscErrorCode MatPermute(Mat, IS, IS, Mat *);
829 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat, Vec, Vec);
830 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat, Vec, InsertMode);
831 
832 PETSC_EXTERN PetscErrorCode MatEqual(Mat, Mat, PetscBool *);
833 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat, Mat, PetscInt, PetscBool *);
834 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat, Mat, PetscInt, PetscBool *);
835 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
836 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
837 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
838 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
839 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
840 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
841 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
842 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
843 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
844 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat, PetscInt, PetscBool *);
845 
846 PETSC_EXTERN PetscErrorCode MatNorm(Mat, NormType, PetscReal *);
847 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat, NormType, PetscReal *);
848 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat, PetscScalar *);
849 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat, PetscReal *);
850 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat, PetscReal *);
851 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat, PetscScalar *);
852 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat, PetscReal *);
853 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat, PetscReal *);
854 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat, PetscInt, PetscReal *);
855 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
856 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
857 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
858 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat, IS, PetscScalar, Vec, Vec);
859 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
860 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
861 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
862 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat, IS, PetscScalar, Vec, Vec);
863 
864 PETSC_EXTERN PetscErrorCode MatGetSize(Mat, PetscInt *, PetscInt *);
865 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat, PetscInt *, PetscInt *);
866 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat, PetscInt *, PetscInt *);
867 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat, const PetscInt **);
868 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat, PetscInt *, PetscInt *);
869 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat, const PetscInt **);
870 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat, IS *, IS *);
871 
872 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
873 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[])
874 {
875   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
876 }
877 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
878 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[])
879 {
880   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
881 }
882 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
883 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
884 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
885 PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatrix()", ) static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat)
886 {
887   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
888 }
889 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
890 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
891 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
892 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);
893 
894 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm, Mat, PetscInt, PetscInt, MatReuse, Mat *);
895 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm, Mat, PetscInt, PetscInt, Mat *);
896 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat, Mat);
897 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat, MatReuse, Mat *);
898 PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat, Mat *);
899 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
900 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat, MatReuse, IS *, Mat *);
901 PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat, PetscCount *);
902 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat, Mat, MatReuse, IS *, IS *, Mat *);
903 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *, const PetscInt *[]);
904 
905 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
906 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat, PetscInt n, IS is[], PetscInt ov);
907 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);
908 
909 PETSC_EXTERN PetscErrorCode MatMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
910 
911 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
912 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
913 
914 PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
915 PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);
916 
917 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
918 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);
919 
920 PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
921 PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);
922 
923 PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
924 PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);
925 
926 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping, ISLocalToGlobalMapping);
927 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
928 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat, PetscLayout *, PetscLayout *);
929 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat, PetscLayout, PetscLayout);
930 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
931 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
932 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
933 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
934 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
935 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
936 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
937 
938 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
939 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);
940 
941 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat, Vec, Vec);
942 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat, Vec, Vec, Vec);
943 PETSC_EXTERN PetscErrorCode MatRestrict(Mat, Vec, Vec);
944 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat, Mat, Mat *);
945 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat, Mat, Mat, Mat *);
946 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat, Mat, Mat *);
947 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat, Vec *, Vec *);
948 PETSC_DEPRECATED_FUNCTION(3, 6, 0, "MatCreateVecs()", ) static inline PetscErrorCode MatGetVecs(Mat mat, Vec *x, Vec *y)
949 {
950   return MatCreateVecs(mat, x, y);
951 }
952 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat, PetscInt, MPI_Comm, MatReuse, Mat *);
953 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat, MPI_Comm, MatReuse, Mat *);
954 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat, IS *);
955 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat, IS *);
956 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm, Mat, PetscInt, MatReuse, Mat *);
957 
958 /*@C
959    MatSetValue - Set a single entry into a matrix.
960 
961    Not Collective
962 
963    Input Parameters:
964 +  mat  - the matrix
965 .  i    - the row location of the entry
966 .  j    - the column location of the entry
967 .  va   - the value to insert
968 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
969 
970    Level: beginner
971 
972    Notes:
973    This value may be cached, so `MatAssemblyBegin()` and `MatAssemblyEnd()`
974    MUST be called after all calls to `MatSetValue()` have been completed.
975 
976    For efficiency one should use `MatSetValues()` and set several values simultaneously.
977 
978 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `InsertMode`, `MatGetValue()`, `MatSetValues()`,
979           `MatSetValueLocal()`, `MatSetValuesLocal()`
980 @*/
981 static inline PetscErrorCode MatSetValue(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
982 {
983   return MatSetValues(mat, 1, &i, 1, &j, &va, mode);
984 }
985 
986 /*@C
987    MatGetValue - Gets a single value from a matrix
988 
989    Not Collective; can only return a value owned by the given process
990 
991    Input Parameters:
992 +  mat - the matrix
993 .  row - the row location of the entry
994 -  col - the column location of the entry
995 
996    Output Parameter:
997 .  va - the value
998 
999    Level: advanced
1000 
1001    Notes:
1002    The matrix must have been assembled with `MatAssemblyBegin()` and `MatAssemblyEnd()` before this call
1003 
1004    For efficiency one should use `MatGetValues()` and get several values simultaneously.
1005 
1006    See notes for `MatGetValues()`.
1007 
1008 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
1009 @*/
1010 static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
1011 {
1012   return MatGetValues(mat, 1, &row, 1, &col, va);
1013 }
1014 
1015 /*@C
1016    MatSetValueLocal - Inserts or adds a single value into a matrix, using a local numbering of the nodes.
1017 
1018    Not Collective
1019 
1020    Input Parameters:
1021 +  mat  - the matrix
1022 .  i    - the row location of the entry
1023 .  j    - the column location of the entry
1024 .  va   - the value to insert
1025 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
1026 
1027    Level: intermediate
1028 
1029    Notes:
1030    For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.
1031 
1032    See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.
1033 
1034 .seealso: [](ch_matrices), `MatSetValue()`, `MatSetValuesLocal()`
1035 @*/
1036 static inline PetscErrorCode MatSetValueLocal(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
1037 {
1038   return MatSetValuesLocal(mat, 1, &i, 1, &j, &va, mode);
1039 }
1040 
1041 /*MC
1042    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
1043    row in a matrix providing the data that one can use to correctly preallocate the matrix.
1044 
1045    Synopsis:
1046    #include <petscmat.h>
1047    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
1048 
1049    Collective
1050 
1051    Input Parameters:
1052 +  comm  - the communicator that will share the eventually allocated matrix
1053 .  nrows - the number of LOCAL rows in the matrix
1054 -  ncols - the number of LOCAL columns in the matrix
1055 
1056    Output Parameters:
1057 +  dnz - the array that will be passed to the matrix preallocation routines
1058 -  onz - the other array passed to the matrix preallocation routines
1059 
1060    Level: deprecated (since v3.19)
1061 
1062    Notes:
1063    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1064    the use of this routine
1065 
1066    This is a macro that handles its own error checking, it does not return an error code.
1067 
1068    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1069 
1070    Developer Note:
1071    This is a MACRO, not a function, because it has a leading { that is closed by `PetscPreallocateFinalize()`.
1072 
1073 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1074           `MatPreallocateSymmetricSetLocalBlock()`
1075 M*/
1076 #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
1077   do { \
1078     PetscInt              __nrows = (nrows), __ncols = (ncols), __rstart, __end = 0; \
1079     PetscInt PETSC_UNUSED __start; \
1080     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
1081     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
1082     __start = __end - __ncols; \
1083     (void)__start; \
1084     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
1085   __rstart -= __nrows
1086 
1087 #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateBegin()", ) MatPreallocateBegin(__VA_ARGS__)
1088 
1089 /*MC
1090    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1091    inserted using a local number of the rows and columns
1092 
1093    Synopsis:
1094    #include <petscmat.h>
1095    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1096 
1097    Not Collective
1098 
1099    Input Parameters:
1100 +  map   - the row mapping from local numbering to global numbering
1101 .  nrows - the number of rows indicated
1102 .  rows  - the indices of the rows
1103 .  cmap  - the column mapping from local to global numbering
1104 .  ncols - the number of columns in the matrix
1105 .  cols  - the columns indicated
1106 .  dnz   - the array that will be passed to the matrix preallocation routines
1107 -  onz   - the other array passed to the matrix preallocation routines
1108 
1109    Level: deprecated (since v3.19)
1110 
1111    Notes:
1112    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1113    the use of this routine
1114 
1115    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1116 
1117 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1118           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
1119 M*/
1120 #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1121   PetscMacroReturnStandard(PetscCall(ISLocalToGlobalMappingApply(rmap, nrows, rows, rows)); PetscCall(ISLocalToGlobalMappingApply(cmap, ncols, cols, cols)); for (PetscInt __l = 0; __l < nrows; __l++) PetscCall(MatPreallocateSet((rows)[__l], ncols, cols, dnz, onz));)
1122 
1123 /*MC
1124    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1125    inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
1126 
1127    Synopsis:
1128    #include <petscmat.h>
1129    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1130 
1131    Not Collective
1132 
1133    Input Parameters:
1134 +  map   - the row mapping from local numbering to global numbering
1135 .  nrows - the number of rows indicated
1136 .  rows  - the indices of the rows (these values are mapped to the global values)
1137 .  cmap  - the column mapping from local to global numbering
1138 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1139 .  cols  - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1140 .  dnz   - the array that will be passed to the matrix preallocation routines
1141 -  onz   - the other array passed to the matrix preallocation routines
1142 
1143    Level: deprecated (since v3.19)
1144 
1145    Notes:
1146    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1147    the use of this routine
1148 
1149    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1150 
1151 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1152           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1153 M*/
1154 #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1155   PetscMacroReturnStandard(PetscCall(ISLocalToGlobalMappingApply(rmap, nrows, rows, rows)); PetscCall(ISLocalToGlobalMappingApply(cmap, ncols, cols, cols)); PetscCall(PetscSortRemoveDupsInt(&ncols, cols)); for (PetscInt __l = 0; __l < nrows; __l++) PetscCall(MatPreallocateSet((rows)[__l], ncols, cols, dnz, onz));)
1156 
1157 /*MC
1158    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1159    inserted using a local number of the rows and columns
1160 
1161    Synopsis:
1162    #include <petscmat.h>
1163    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1164 
1165    Not Collective
1166 
1167    Input Parameters:
1168 +  map   - the row mapping from local numbering to global numbering
1169 .  nrows - the number of rows indicated
1170 .  rows  - the indices of the rows
1171 .  cmap  - the column mapping from local to global numbering
1172 .  ncols - the number of columns in the matrix
1173 .  cols  - the columns indicated
1174 .  dnz   - the array that will be passed to the matrix preallocation routines
1175 -  onz   - the other array passed to the matrix preallocation routines
1176 
1177    Level: deprecated (since v3.19)
1178 
1179    Notes:
1180    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1181    the use of this routine
1182 
1183    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1184 
1185 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1186           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1187 M*/
1188 #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1189   PetscMacroReturnStandard(PetscCall(ISLocalToGlobalMappingApplyBlock(rmap, nrows, rows, rows)); PetscCall(ISLocalToGlobalMappingApplyBlock(cmap, ncols, cols, cols)); for (PetscInt __l = 0; __l < nrows; __l++) PetscCall(MatPreallocateSet((rows)[__l], ncols, cols, dnz, onz));)
1190 
1191 /*MC
1192    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1193    inserted using a local number of the rows and columns
1194 
1195    Synopsis:
1196    #include <petscmat.h>
1197    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1198 
1199    Not Collective
1200 
1201    Input Parameters:
1202 +  map   - the mapping between local numbering and global numbering
1203 .  nrows - the number of rows indicated
1204 .  rows  - the indices of the rows
1205 .  ncols - the number of columns in the matrix
1206 .  cols  - the columns indicated
1207 .  dnz   - the array that will be passed to the matrix preallocation routines
1208 -  onz   - the other array passed to the matrix preallocation routines
1209 
1210    Level: deprecated (since v3.19)
1211 
1212    Notes:
1213    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1214    the use of this routine
1215 
1216    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1217 
1218 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`
1219           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1220 M*/
1221 #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1222   PetscMacroReturnStandard(PetscCall(ISLocalToGlobalMappingApplyBlock(map, nrows, rows, rows)); PetscCall(ISLocalToGlobalMappingApplyBlock(map, ncols, cols, cols)); for (PetscInt __l = 0; __l < nrows; __l++) PetscCall(MatPreallocateSymmetricSetBlock((rows)[__l], ncols, cols, dnz, onz));)
1223 
1224 /*MC
1225    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1226    inserted using a local number of the rows and columns
1227 
1228    Synopsis:
1229    #include <petscmat.h>
1230    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1231 
1232    Not Collective
1233 
1234    Input Parameters:
1235 +  row   - the row
1236 .  ncols - the number of columns in the matrix
1237 -  cols  - the columns indicated
1238 
1239    Output Parameters:
1240 +  dnz - the array that will be passed to the matrix preallocation routines
1241 -  onz - the other array passed to the matrix preallocation routines
1242 
1243    Level: deprecated (since v3.19)
1244 
1245    Notes:
1246    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1247    the use of this routine
1248 
1249    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1250 
1251    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().
1252 
1253 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1254           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1255 M*/
1256 #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1257   PetscMacroReturnStandard(PetscCheck(row >= __rstart, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Trying to set preallocation for row %" PetscInt_FMT " less than first local row %" PetscInt_FMT, row, __rstart); PetscCheck(row < __rstart + __nrows, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Trying to set preallocation for row %" PetscInt_FMT " greater than last local row %" PetscInt_FMT, row, __rstart + __nrows - 1); for (PetscInt __i = 0; __i < nc; ++__i) { \
1258     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1259     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1260   })
1261 
1262 /*MC
1263    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1264    inserted using a local number of the rows and columns
1265 
1266    Synopsis:
1267    #include <petscmat.h>
1268    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1269 
1270    Not Collective
1271 
1272    Input Parameters:
1273 +  nrows - the number of rows indicated
1274 .  rows  - the indices of the rows
1275 .  ncols - the number of columns in the matrix
1276 .  cols  - the columns indicated
1277 .  dnz   - the array that will be passed to the matrix preallocation routines
1278 -  onz   - the other array passed to the matrix preallocation routines
1279 
1280    Level: deprecated (since v3.19)
1281 
1282    Notes:
1283    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1284    the use of this routine
1285 
1286    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1287 
1288    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().
1289 
1290 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1291           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1292 M*/
1293 #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1294   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
1295     if (cols[__i] >= __end) onz[row - __rstart]++; \
1296     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1297   })
1298 
1299 /*MC
1300    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1301 
1302    Synopsis:
1303    #include <petscmat.h>
1304    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1305 
1306    Not Collective
1307 
1308    Input Parameters:
1309 +  A     - matrix
1310 .  row   - row where values exist (must be local to this process)
1311 .  ncols - number of columns
1312 .  cols  - columns with nonzeros
1313 .  dnz   - the array that will be passed to the matrix preallocation routines
1314 -  onz   - the other array passed to the matrix preallocation routines
1315 
1316    Level: deprecated (since v3.19)
1317 
1318    Notes:
1319    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1320    the use of this routine
1321 
1322    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1323 
1324    Developer Note:
1325    This is a MACRO, not a function, because it uses a bunch of variables private to the MatPreallocation.... routines.
1326 
1327 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1328           `MatPreallocateSymmetricSetLocalBlock()`
1329 M*/
1330 #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))
1331 
1332 /*MC
1333    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1334    row in a matrix providing the data that one can use to correctly preallocate the matrix.
1335 
1336    Synopsis:
1337    #include <petscmat.h>
1338    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)
1339 
1340    Collective
1341 
1342    Input Parameters:
1343 +  dnz - the array that was be passed to the matrix preallocation routines
1344 -  onz - the other array passed to the matrix preallocation routines
1345 
1346    Level: deprecated (since v3.19)
1347 
1348    Notes:
1349    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1350    the use of this routine
1351 
1352    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1353 
1354    Developer Note:
1355    This is a MACRO, not a function, because it closes the { started in MatPreallocateBegin().
1356 
1357 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1358           `MatPreallocateSymmetricSetLocalBlock()`
1359 M*/
1360 #define MatPreallocateEnd(dnz, onz) \
1361   PetscCall(PetscFree2(dnz, onz)); \
1362   } \
1363   while (0)
1364 
1365 #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateEnd()", ) MatPreallocateEnd(__VA_ARGS__)
1366 
1367 /* Routines unique to particular data structures */
1368 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, void *);
1369 
1370 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1371 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);
1372 
1373 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1374 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1375 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1376 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1377 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1378 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscInt, PetscBool);
1379 
1380 #define MAT_SKIP_ALLOCATION -4
1381 
1382 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1383 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1384 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1385 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);
1386 
1387 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1388 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1389 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1390 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1391 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1392 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1393 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1394 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1395 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1396 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1397 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1398 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1399 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1400 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1401 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);
1402 
1403 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1404 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1405 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatDenseSetLDA()", ) static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
1406 {
1407   return MatDenseSetLDA(A, lda);
1408 }
1409 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);
1410 
1411 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1412 
1413 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1414 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1415 
1416 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1417 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1418 /*
1419   These routines are not usually accessed directly, rather solving is
1420   done through the KSP and PC interfaces.
1421 */
1422 
1423 /*J
1424    MatOrderingType - String with the name of a PETSc matrix ordering. These orderings are most commonly used
1425    to reduce fill in sparse factorizations.
1426 
1427    Level: beginner
1428 
1429    Notes:
1430    If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and instead the external factorization solver package called utilizes one
1431    of its own.
1432 
1433    There is no `MatOrdering` object, the ordering is obtained directly from the matrix with `MatGetOrdering()`
1434 
1435    Developer Note:
1436    This API should be converted to an API similar to those for `MatColoring` and `MatPartitioning`
1437 
1438 .seealso: [](ch_matrices), [](sec_graph), `MatGetFactor()`, `MatGetOrdering()`, `MatColoringType`, `MatPartitioningType`, `MatCoarsenType`, `MatCoarsenType`,
1439           `PCFactorSetOrderingType()`
1440 J*/
1441 typedef const char *MatOrderingType;
1442 #define MATORDERINGNATURAL       "natural"
1443 #define MATORDERINGND            "nd"
1444 #define MATORDERING1WD           "1wd"
1445 #define MATORDERINGRCM           "rcm"
1446 #define MATORDERINGQMD           "qmd"
1447 #define MATORDERINGROWLENGTH     "rowlength"
1448 #define MATORDERINGWBM           "wbm"
1449 #define MATORDERINGSPECTRAL      "spectral"
1450 #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1451 #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1452 #define MATORDERINGNATURAL_OR_ND "natural_or_nd" /* special coase used for Cholesky and ICC, allows ND when AIJ matrix is used but Natural when SBAIJ is used */
1453 #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */
1454 
1455 PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1456 PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1457 PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1458 PETSC_EXTERN PetscFunctionList MatOrderingList;
1459 
1460 #include "petscmatcoarsen.h"
1461 
1462 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1463 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);
1464 
1465 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);
1466 
1467 /*S
1468    MatFactorShiftType - Type of numeric shift used for factorizations
1469 
1470    Values:
1471 +  `MAT_SHIFT_NONE`              - do not shift the matrix diagonal entries
1472 .  `MAT_SHIFT_NONZERO`           - shift the entries to be non-zero
1473 .  `MAT_SHIFT_POSITIVE_DEFINITE` - shift the entries to force the factorization to be positive definite
1474 -  `MAT_SHIFT_INBLOCKS`          - only shift the factors inside the small dense diagonal blocks of the matrix, for example with `MATBAIJ`
1475 
1476    Level: intermediate
1477 
1478 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `PCFactorSetShiftType()`
1479 S*/
1480 typedef enum {
1481   MAT_SHIFT_NONE,
1482   MAT_SHIFT_NONZERO,
1483   MAT_SHIFT_POSITIVE_DEFINITE,
1484   MAT_SHIFT_INBLOCKS
1485 } MatFactorShiftType;
1486 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1487 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1488 
1489 /*S
1490     MatFactorError - indicates what type of error was generated in a matrix factorization
1491 
1492     Values:
1493 +   `MAT_FACTOR_NOERROR`           - there was no error during the factorization
1494 .   `MAT_FACTOR_STRUCT_ZEROPIVOT`  - there was a missing entry in a diagonal location of the matrix
1495 .   `MAT_FACTOR_NUMERIC_ZEROPIVOT` - there was a (near) zero pivot during the factorization
1496 .   `MAT_FACTOR_OUTMEMORY`         - the factorization has run out of memory
1497 -   `MAT_FACTOR_OTHER`             - some other error has occurred.
1498 
1499     Level: intermediate
1500 
1501     Note:
1502     When a factorization is done in a preconditioner `PC` the error may be propagated up to a `PCFailedReason` or a `KSPConvergedReason`
1503 
1504 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `MatFactorGetError()`, `MatFactorGetErrorZeroPivot()`, `MatFactorClearError()`,
1505           `PCFailedReason`, `PCGetFailedReason()`, `KSPConvergedReason`
1506 S*/
1507 typedef enum {
1508   MAT_FACTOR_NOERROR,
1509   MAT_FACTOR_STRUCT_ZEROPIVOT,
1510   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1511   MAT_FACTOR_OUTMEMORY,
1512   MAT_FACTOR_OTHER
1513 } MatFactorError;
1514 
1515 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1516 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1517 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);
1518 
1519 /*S
1520    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1521 
1522    Level: developer
1523 
1524    Note:
1525    You can use `MatFactorInfoInitialize()` to set default values.
1526 
1527    Fortran Note:
1528    The data is available in a double precision arrays of size `MAT_FACTORINFO_SIZE`
1529 
1530 .seealso: [](ch_matrices), `Mat`, `MatInfo`, `MatGetFactor()`, `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`,
1531           `MatICCFactorSymbolic()`, `MatICCFactor()`, `MatFactorInfoInitialize()`
1532 S*/
1533 typedef struct {
1534   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1535   PetscReal usedt;
1536   PetscReal dt;            /* drop tolerance */
1537   PetscReal dtcol;         /* tolerance for pivoting */
1538   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1539   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1540   PetscReal levels;        /* ICC/ILU(levels) */
1541   PetscReal pivotinblocks; /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1542                                    factorization may be faster if do not pivot */
1543   PetscReal zeropivot;     /* pivot is called zero if less than this */
1544   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1545   PetscReal shiftamount;   /* how large the shift is */
1546 } MatFactorInfo;
1547 
1548 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1549 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1550 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1551 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1552 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1553 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1554 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1555 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1556 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1557 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1558 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1559 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1560 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1561 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1562 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1563 PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1564 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1565 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1566 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1567 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1568 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1569 PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1570 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1571 
1572 typedef enum {
1573   MAT_FACTOR_SCHUR_UNFACTORED,
1574   MAT_FACTOR_SCHUR_FACTORED,
1575   MAT_FACTOR_SCHUR_INVERTED
1576 } MatFactorSchurStatus;
1577 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1578 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1579 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1580 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1581 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1582 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1583 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1584 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1585 
1586 PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1587 /*E
1588    MatSORType - What type of (S)SOR to perform
1589 
1590    Values:
1591 +  `SOR_FORWARD_SWEEP`         - do a sweep from the first row of the matrix to the last
1592 .  `SOR_BACKWARD_SWEEP`        - do a sweep from the last row to the first
1593 .  `SOR_SYMMETRIC_SWEEP`       - do a sweep from the first row to the last and then back to the first
1594 .  `SOR_LOCAL_FORWARD_SWEEP`   - each MPI process does its own forward sweep with no communication
1595 .  `SOR_LOCAL_BACKWARD_SWEEP`  - each MPI process does its own backward sweep with no communication
1596 .  `SOR_LOCAL_SYMMETRIC_SWEEP` - each MPI process does its own symmetric sweep with no communication
1597 .  `SOR_ZERO_INITIAL_GUESS`    - indicates the initial solution is zero so the sweep can avoid unneeded computation
1598 .  `SOR_EISENSTAT`             - apply the Eisentat application of SOR, see `PCEISENSTAT`
1599 .  `SOR_APPLY_UPPER`           - multiply by the upper triangular portion of the matrix
1600 -  `SOR_APPLY_LOWER`           - multiply by the lower triangular portion of the matrix
1601 
1602    Level: beginner
1603 
1604    Note:
1605    These may be bitwise ORd together
1606 
1607    Developer Note:
1608    Since `MatSORType` may be bitwise ORd together, so do not change the numerical values below
1609 
1610 .seealso: [](ch_matrices), `MatSOR()`
1611 E*/
1612 typedef enum {
1613   SOR_FORWARD_SWEEP         = 1,
1614   SOR_BACKWARD_SWEEP        = 2,
1615   SOR_SYMMETRIC_SWEEP       = 3,
1616   SOR_LOCAL_FORWARD_SWEEP   = 4,
1617   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1618   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1619   SOR_ZERO_INITIAL_GUESS    = 16,
1620   SOR_EISENSTAT             = 32,
1621   SOR_APPLY_UPPER           = 64,
1622   SOR_APPLY_LOWER           = 128
1623 } MatSORType;
1624 PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);
1625 
1626 /*S
1627    MatColoring - Object for managing the coloring of matrices.
1628 
1629    Level: beginner
1630 
1631    Notes:
1632    Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1633    matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).
1634 
1635    Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1636    same object can also be used to efficiently convert data created by Automatic Differentiation tools to PETSc sparse matrices.
1637 
1638 .seealso: [](ch_matrices), [](sec_graph), `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`,
1639           `MatPartitioning`, `MatColoringType`, `MatPartitioningType`, `MatOrderingType`, `MatColoringSetWeightType()`,
1640           `MatColoringSetWeights()`, `MatCoarsenType`, `MatCoarsen`
1641 S*/
1642 typedef struct _p_MatColoring *MatColoring;
1643 
1644 /*J
1645    MatColoringType - String with the name of a PETSc matrix coloring
1646 
1647    Level: beginner
1648 
1649 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatFDColoringCreate()`, `MatColoringSetType()`, `MatColoring`
1650 J*/
1651 typedef const char *MatColoringType;
1652 #define MATCOLORINGJP      "jp"
1653 #define MATCOLORINGPOWER   "power"
1654 #define MATCOLORINGNATURAL "natural"
1655 #define MATCOLORINGSL      "sl"
1656 #define MATCOLORINGLF      "lf"
1657 #define MATCOLORINGID      "id"
1658 #define MATCOLORINGGREEDY  "greedy"
1659 
1660 /*E
1661    MatColoringWeightType - Type of weight scheme used for the coloring algorithm
1662 
1663    Values:
1664 +  `MAT_COLORING_RANDOM`  - Random weights
1665 .  `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1666 -  `MAT_COLORING_LF`      - Last-first weighting.
1667 
1668     Level: intermediate
1669 
1670 .seealso: [](ch_matrices), `MatColoring`, `MatColoringCreate()`, `MatColoringSetWeightType()`, `MatColoringSetWeights()`
1671 E*/
1672 typedef enum {
1673   MAT_COLORING_WEIGHT_RANDOM,
1674   MAT_COLORING_WEIGHT_LEXICAL,
1675   MAT_COLORING_WEIGHT_LF,
1676   MAT_COLORING_WEIGHT_SL
1677 } MatColoringWeightType;
1678 
1679 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1680 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1681 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1682 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1683 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1684 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1685 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1686 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1687 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1688 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1689 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1690 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1691 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1692 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1693 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1694 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1695 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1696 PETSC_DEPRECATED_FUNCTION(3, 10, 0, "MatColoringTest()", ) static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
1697 {
1698   return MatColoringTest(matcoloring, iscoloring);
1699 }
1700 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);
1701 
1702 /*S
1703    MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring
1704 
1705    Level: beginner
1706 
1707    Notes:
1708    This object is creating utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`
1709 
1710    The `SNES` option `-snes_fd_coloring` will cause the Jacobian needed by `SNES` to be computed via a use of this object
1711 
1712 .seealso: [](ch_matrices), `Mat`, `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1713 S*/
1714 typedef struct _p_MatFDColoring *MatFDColoring;
1715 
1716 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1717 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1718 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1719 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, PetscErrorCode (*)(void), void *);
1720 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, PetscErrorCode (**)(void), void **);
1721 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1722 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1723 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1724 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1725 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1726 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1727 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1728 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);
1729 
1730 /*S
1731    MatTransposeColoring - Object for computing a sparse matrix product $C = A*B^T$ via coloring
1732 
1733    Level: developer
1734 
1735 .seealso: [](ch_matrices), `Mat`, `MatProductType`, `MatTransposeColoringCreate()`
1736 S*/
1737 typedef struct _p_MatTransposeColoring *MatTransposeColoring;
1738 
1739 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1740 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1741 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1742 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);
1743 
1744 /*S
1745    MatPartitioning - Object for managing the partitioning of a matrix or graph
1746 
1747    Level: beginner
1748 
1749    Note:
1750    There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1751    via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)
1752 
1753    Developer Note:
1754    It is an extra maintenance and documentation cost to have two objects with the same functionality. `PetscPartitioner` should be removed
1755 
1756 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`, `MatOrderingType`,
1757           `MatCoarsenType`, `MatCoarsenType`
1758 S*/
1759 typedef struct _p_MatPartitioning *MatPartitioning;
1760 
1761 /*J
1762     MatPartitioningType - String with the name of a PETSc matrix partitioning
1763 
1764    Level: beginner
1765 dm
1766 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`, `MatColoringType`, `MatOrderingType`,
1767           `MatCoarsenType`, `MatCoarsenType`
1768 J*/
1769 typedef const char *MatPartitioningType;
1770 #define MATPARTITIONINGCURRENT  "current"
1771 #define MATPARTITIONINGAVERAGE  "average"
1772 #define MATPARTITIONINGSQUARE   "square"
1773 #define MATPARTITIONINGPARMETIS "parmetis"
1774 #define MATPARTITIONINGCHACO    "chaco"
1775 #define MATPARTITIONINGPARTY    "party"
1776 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1777 #define MATPARTITIONINGHIERARCH "hierarch"
1778 
1779 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1780 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1781 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1782 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1783 PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1784 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1785 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1786 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1787 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1788 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1789 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1790 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1791 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1792 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1793 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1794 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1795 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1796 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1797 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);
1798 
1799 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1800 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1801 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1802 
1803 typedef enum {
1804   MP_CHACO_MULTILEVEL = 1,
1805   MP_CHACO_SPECTRAL   = 2,
1806   MP_CHACO_LINEAR     = 4,
1807   MP_CHACO_RANDOM     = 5,
1808   MP_CHACO_SCATTERED  = 6
1809 } MPChacoGlobalType;
1810 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1811 typedef enum {
1812   MP_CHACO_KERNIGHAN = 1,
1813   MP_CHACO_NONE      = 2
1814 } MPChacoLocalType;
1815 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1816 typedef enum {
1817   MP_CHACO_LANCZOS = 0,
1818   MP_CHACO_RQI     = 1
1819 } MPChacoEigenType;
1820 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1821 
1822 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1823 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1824 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1825 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1826 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1827 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1828 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1829 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1830 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1831 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1832 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);
1833 
1834 #define MP_PARTY_OPT "opt"
1835 #define MP_PARTY_LIN "lin"
1836 #define MP_PARTY_SCA "sca"
1837 #define MP_PARTY_RAN "ran"
1838 #define MP_PARTY_GBF "gbf"
1839 #define MP_PARTY_GCF "gcf"
1840 #define MP_PARTY_BUB "bub"
1841 #define MP_PARTY_DEF "def"
1842 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1843 #define MP_PARTY_HELPFUL_SETS  "hs"
1844 #define MP_PARTY_KERNIGHAN_LIN "kl"
1845 #define MP_PARTY_NONE          "no"
1846 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1847 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1848 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1849 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);
1850 
1851 typedef enum {
1852   MP_PTSCOTCH_DEFAULT,
1853   MP_PTSCOTCH_QUALITY,
1854   MP_PTSCOTCH_SPEED,
1855   MP_PTSCOTCH_BALANCE,
1856   MP_PTSCOTCH_SAFETY,
1857   MP_PTSCOTCH_SCALABILITY
1858 } MPPTScotchStrategyType;
1859 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1860 
1861 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1862 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1863 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1864 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);
1865 
1866 /*
1867  * hierarchical partitioning
1868  */
1869 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1870 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1871 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1872 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1873 
1874 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);
1875 
1876 /*
1877     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1878     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1879 */
1880 typedef enum {
1881   MATOP_SET_VALUES               = 0,
1882   MATOP_GET_ROW                  = 1,
1883   MATOP_RESTORE_ROW              = 2,
1884   MATOP_MULT                     = 3,
1885   MATOP_MULT_ADD                 = 4,
1886   MATOP_MULT_TRANSPOSE           = 5,
1887   MATOP_MULT_TRANSPOSE_ADD       = 6,
1888   MATOP_SOLVE                    = 7,
1889   MATOP_SOLVE_ADD                = 8,
1890   MATOP_SOLVE_TRANSPOSE          = 9,
1891   MATOP_SOLVE_TRANSPOSE_ADD      = 10,
1892   MATOP_LUFACTOR                 = 11,
1893   MATOP_CHOLESKYFACTOR           = 12,
1894   MATOP_SOR                      = 13,
1895   MATOP_TRANSPOSE                = 14,
1896   MATOP_GETINFO                  = 15,
1897   MATOP_EQUAL                    = 16,
1898   MATOP_GET_DIAGONAL             = 17,
1899   MATOP_DIAGONAL_SCALE           = 18,
1900   MATOP_NORM                     = 19,
1901   MATOP_ASSEMBLY_BEGIN           = 20,
1902   MATOP_ASSEMBLY_END             = 21,
1903   MATOP_SET_OPTION               = 22,
1904   MATOP_ZERO_ENTRIES             = 23,
1905   MATOP_ZERO_ROWS                = 24,
1906   MATOP_LUFACTOR_SYMBOLIC        = 25,
1907   MATOP_LUFACTOR_NUMERIC         = 26,
1908   MATOP_CHOLESKY_FACTOR_SYMBOLIC = 27,
1909   MATOP_CHOLESKY_FACTOR_NUMERIC  = 28,
1910   MATOP_SETUP                    = 29,
1911   MATOP_ILUFACTOR_SYMBOLIC       = 30,
1912   MATOP_ICCFACTOR_SYMBOLIC       = 31,
1913   MATOP_GET_DIAGONAL_BLOCK       = 32,
1914   MATOP_SET_INF                  = 33,
1915   MATOP_DUPLICATE                = 34,
1916   MATOP_FORWARD_SOLVE            = 35,
1917   MATOP_BACKWARD_SOLVE           = 36,
1918   MATOP_ILUFACTOR                = 37,
1919   MATOP_ICCFACTOR                = 38,
1920   MATOP_AXPY                     = 39,
1921   MATOP_CREATE_SUBMATRICES       = 40,
1922   MATOP_INCREASE_OVERLAP         = 41,
1923   MATOP_GET_VALUES               = 42,
1924   MATOP_COPY                     = 43,
1925   MATOP_GET_ROW_MAX              = 44,
1926   MATOP_SCALE                    = 45,
1927   MATOP_SHIFT                    = 46,
1928   MATOP_DIAGONAL_SET             = 47,
1929   MATOP_ZERO_ROWS_COLUMNS        = 48,
1930   MATOP_SET_RANDOM               = 49,
1931   MATOP_GET_ROW_IJ               = 50,
1932   MATOP_RESTORE_ROW_IJ           = 51,
1933   MATOP_GET_COLUMN_IJ            = 52,
1934   MATOP_RESTORE_COLUMN_IJ        = 53,
1935   MATOP_FDCOLORING_CREATE        = 54,
1936   MATOP_COLORING_PATCH           = 55,
1937   MATOP_SET_UNFACTORED           = 56,
1938   MATOP_PERMUTE                  = 57,
1939   MATOP_SET_VALUES_BLOCKED       = 58,
1940   MATOP_CREATE_SUBMATRIX         = 59,
1941   MATOP_DESTROY                  = 60,
1942   MATOP_VIEW                     = 61,
1943   MATOP_CONVERT_FROM             = 62,
1944   /* MATOP_PLACEHOLDER_63=63 */
1945   MATOP_MATMAT_MULT_SYMBOLIC    = 64,
1946   MATOP_MATMAT_MULT_NUMERIC     = 65,
1947   MATOP_SET_LOCAL_TO_GLOBAL_MAP = 66,
1948   MATOP_SET_VALUES_LOCAL        = 67,
1949   MATOP_ZERO_ROWS_LOCAL         = 68,
1950   MATOP_GET_ROW_MAX_ABS         = 69,
1951   MATOP_GET_ROW_MIN_ABS         = 70,
1952   MATOP_CONVERT                 = 71,
1953   MATOP_HAS_OPERATION           = 72,
1954   /* MATOP_PLACEHOLDER_73=73, */
1955   MATOP_SET_VALUES_ADIFOR = 74,
1956   MATOP_FD_COLORING_APPLY = 75,
1957   MATOP_SET_FROM_OPTIONS  = 76,
1958   /* MATOP_PLACEHOLDER_77=77, */
1959   /* MATOP_PLACEHOLDER_78=78, */
1960   MATOP_FIND_ZERO_DIAGONALS       = 79,
1961   MATOP_MULT_MULTIPLE             = 80,
1962   MATOP_SOLVE_MULTIPLE            = 81,
1963   MATOP_GET_INERTIA               = 82,
1964   MATOP_LOAD                      = 83,
1965   MATOP_IS_SYMMETRIC              = 84,
1966   MATOP_IS_HERMITIAN              = 85,
1967   MATOP_IS_STRUCTURALLY_SYMMETRIC = 86,
1968   MATOP_SET_VALUES_BLOCKEDLOCAL   = 87,
1969   MATOP_CREATE_VECS               = 88,
1970   /* MATOP_PLACEHOLDER_89=89, */
1971   MATOP_MAT_MULT_SYMBOLIC = 90,
1972   MATOP_MAT_MULT_NUMERIC  = 91,
1973   /* MATOP_PLACEHOLDER_92=92, */
1974   MATOP_PTAP_SYMBOLIC = 93,
1975   MATOP_PTAP_NUMERIC  = 94,
1976   /* MATOP_PLACEHOLDER_95=95, */
1977   MATOP_MAT_TRANSPOSE_MULT_SYMBO = 96,
1978   MATOP_MAT_TRANSPOSE_MULT_NUMER = 97,
1979   MATOP_BIND_TO_CPU              = 98,
1980   MATOP_PRODUCTSETFROMOPTIONS    = 99,
1981   MATOP_PRODUCTSYMBOLIC          = 100,
1982   MATOP_PRODUCTNUMERIC           = 101,
1983   MATOP_CONJUGATE                = 102,
1984   MATOP_VIEW_NATIVE              = 103,
1985   MATOP_SET_VALUES_ROW           = 104,
1986   MATOP_REAL_PART                = 105,
1987   MATOP_IMAGINARY_PART           = 106,
1988   MATOP_GET_ROW_UPPER_TRIANGULAR = 107,
1989   MATOP_RESTORE_ROW_UPPER_TRIANG = 108,
1990   MATOP_MAT_SOLVE                = 109,
1991   MATOP_MAT_SOLVE_TRANSPOSE      = 110,
1992   MATOP_GET_ROW_MIN              = 111,
1993   MATOP_GET_COLUMN_VECTOR        = 112,
1994   MATOP_MISSING_DIAGONAL         = 113,
1995   MATOP_GET_SEQ_NONZERO_STRUCTUR = 114,
1996   MATOP_CREATE                   = 115,
1997   MATOP_GET_GHOSTS               = 116,
1998   MATOP_GET_LOCAL_SUB_MATRIX     = 117,
1999   MATOP_RESTORE_LOCALSUB_MATRIX  = 118,
2000   MATOP_MULT_DIAGONAL_BLOCK      = 119,
2001   MATOP_HERMITIAN_TRANSPOSE      = 120,
2002   MATOP_MULT_HERMITIAN_TRANSPOSE = 121,
2003   MATOP_MULT_HERMITIAN_TRANS_ADD = 122,
2004   MATOP_GET_MULTI_PROC_BLOCK     = 123,
2005   MATOP_FIND_NONZERO_ROWS        = 124,
2006   MATOP_GET_COLUMN_NORMS         = 125,
2007   MATOP_INVERT_BLOCK_DIAGONAL    = 126,
2008   MATOP_INVERT_VBLOCK_DIAGONAL   = 127,
2009   MATOP_CREATE_SUB_MATRICES_MPI  = 128,
2010   MATOP_SET_VALUES_BATCH         = 129,
2011   /* MATOP_PLACEHOLDER_130=130, */
2012   MATOP_TRANSPOSE_MAT_MULT_SYMBO = 131,
2013   MATOP_TRANSPOSE_MAT_MULT_NUMER = 132,
2014   MATOP_TRANSPOSE_COLORING_CREAT = 133,
2015   MATOP_TRANS_COLORING_APPLY_SPT = 134,
2016   MATOP_TRANS_COLORING_APPLY_DEN = 135,
2017   /* MATOP_PLACEHOLDER_136=136, */
2018   MATOP_RART_SYMBOLIC         = 137,
2019   MATOP_RART_NUMERIC          = 138,
2020   MATOP_SET_BLOCK_SIZES       = 139,
2021   MATOP_AYPX                  = 140,
2022   MATOP_RESIDUAL              = 141,
2023   MATOP_FDCOLORING_SETUP      = 142,
2024   MATOP_FIND_OFFBLOCK_ENTRIES = 143,
2025   MATOP_MPICONCATENATESEQ     = 144,
2026   MATOP_DESTROYSUBMATRICES    = 145,
2027   MATOP_MAT_TRANSPOSE_SOLVE   = 146,
2028   MATOP_GET_VALUES_LOCAL      = 147,
2029   MATOP_CREATE_GRAPH          = 148,
2030   /* MATOP_PLACEHOLDER_149=149, */
2031   MATOP_TRANSPOSE_SYMBOLIC  = 150,
2032   MATOP_ELIMINATE_ZEROS     = 151,
2033   MATOP_GET_ROW_SUM_ABS     = 152,
2034   MATOP_GET_FACTOR          = 153,
2035   MATOP_GET_BLOCK_DIAGONAL  = 154, // NOTE: caller of the two op functions owns the returned matrix
2036   MATOP_GET_VBLOCK_DIAGONAL = 155  // and need to destroy it after use.
2037 } MatOperation;
2038 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, void (*)(void));
2039 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, void (**)(void));
2040 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
2041 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
2042 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatProductClear()", ) static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
2043 {
2044   return MatProductClear(A);
2045 }
2046 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, void (*)(void));
2047 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, void (**)(void));
2048 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, void *);
2049 PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscErrorCode (*)(void *));
2050 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
2051 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2052 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2053 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
2054 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscErrorCode (*)(void *), MatType, MatType);
2055 PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);
2056 
2057 /*
2058    Codes for matrices stored on disk. By default they are
2059    stored in a universal format. By changing the format with
2060    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
2061    be stored in a way natural for the matrix, for example dense matrices
2062    would be stored as dense. Matrices stored this way may only be
2063    read into matrices of the same type.
2064 */
2065 #define MATRIX_BINARY_FORMAT_DENSE -1
2066 
2067 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);
2068 
2069 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
2070 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
2071 PETSC_EXTERN PetscErrorCode MatISSetAllowRepeated(Mat, PetscBool);
2072 PETSC_EXTERN PetscErrorCode MatISGetAllowRepeated(Mat, PetscBool *);
2073 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
2074 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
2075 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
2076 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
2077 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
2078 PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
2079 
2080 /*S
2081    MatNullSpace - Object that removes a null space from a vector, i.e.
2082                   orthogonalizes the vector to a subspace
2083 
2084    Level: advanced
2085 
2086 .seealso: [](ch_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2087 S*/
2088 typedef struct _p_MatNullSpace *MatNullSpace;
2089 
2090 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
2091 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, PetscErrorCode (*)(MatNullSpace, Vec, void *), void *);
2092 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
2093 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
2094 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
2095 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
2096 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
2097 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
2098 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
2099 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
2100 PETSC_EXTERN PetscErrorCode MatGetNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2101 PETSC_EXTERN PetscErrorCode MatRestoreNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2102 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
2103 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
2104 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
2105 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);
2106 
2107 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
2108 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
2109 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);
2110 
2111 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
2112 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
2113 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);
2114 
2115 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
2116 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);
2117 
2118 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperator()", ) static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
2119 {
2120   return MatComputeOperator(A, PETSC_NULLPTR, B);
2121 }
2122 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperatorTranspose()", ) static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
2123 {
2124   return MatComputeOperatorTranspose(A, PETSC_NULLPTR, B);
2125 }
2126 
2127 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
2128 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
2129 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
2130 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2131 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
2132 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
2133 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
2134 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2135 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
2136 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
2137 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
2138 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
2139 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
2140 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);
2141 
2142 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);
2143 
2144 PETSC_EXTERN PetscErrorCode MatMFFDInitializePackage(void);
2145 PETSC_EXTERN PetscErrorCode MatMFFDFinalizePackage(void);
2146 
2147 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2148 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
2149 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, PetscErrorCode (*)(void *, Vec, Vec), void *);
2150 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, PetscErrorCode (*)(void *, PetscInt, Vec, PetscScalar *));
2151 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, PetscErrorCode (*)(void *, Vec));
2152 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
2153 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
2154 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
2155 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
2156 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
2157 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
2158 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
2159 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, PetscErrorCode (*)(void *, Vec, Vec, PetscScalar *), void *);
2160 
2161 /*S
2162     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2163               Jacobian vector products
2164 
2165     Level: developer
2166 
2167     Notes:
2168     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure
2169 
2170      MatMFFD*() methods actually take the `Mat` as their first argument. Not a `MatMFFD` data structure
2171 
2172     This functionality is often obtained using `MatCreateSNESMF()` or with `SNES` solvers using `-snes_mf` or `-snes_mf_operator`
2173 
2174 .seealso: [](ch_matrices), `MatMFFDType`, `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`,
2175           `MatCreateSNESMF()`, `SNES`, `-snes_mf`, `-snes_mf_operator`
2176 S*/
2177 typedef struct _p_MatMFFD *MatMFFD;
2178 
2179 /*J
2180    MatMFFDType - algorithm used to compute the `h` used in computing matrix-vector products via differencing of a function
2181 
2182    Values:
2183 +   `MATMFFD_DS` - an algorithm described by Dennis and Schnabel {cite}`dennis:83`
2184 -   `MATMFFD_WP` - the Walker-Pernice {cite}`pw98` strategy.
2185 
2186    Level: beginner
2187 
2188 .seealso: [](ch_matrices), `MatMFFDSetType()`, `MatMFFDRegister()`, `MatMFFDSetFunction()`, `MatCreateMFFD()`
2189 J*/
2190 typedef const char *MatMFFDType;
2191 #define MATMFFD_DS "ds"
2192 #define MATMFFD_WP "wp"
2193 
2194 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2195 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));
2196 
2197 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2198 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);
2199 
2200 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);
2201 
2202 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2203 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
2204 
2205 #ifdef PETSC_HAVE_H2OPUS
2206 PETSC_EXTERN_TYPEDEF typedef PetscScalar(MatH2OpusKernelFn)(PetscInt, PetscReal[], PetscReal[], void *);
2207 PETSC_EXTERN_TYPEDEF typedef MatH2OpusKernelFn *MatH2OpusKernel;
2208 
2209 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernelFn *, void *, PetscReal, PetscInt, PetscInt, Mat *);
2210 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2211 PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2212 PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
2213 PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat, PetscReal);
2214 PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat, PetscBool);
2215 PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat, PetscBool *);
2216 PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat, IS *);
2217 PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2218 PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2219 #endif
2220 
2221 #ifdef PETSC_HAVE_HTOOL
2222 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(MatHtoolKernelFn)(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2223 PETSC_EXTERN_TYPEDEF typedef MatHtoolKernelFn *MatHtoolKernel;
2224 
2225 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernelFn *, void *, Mat *);
2226 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat, MatHtoolKernelFn *, void *);
2227 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat, IS *);
2228 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat, IS *);
2229 PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat, PetscBool);
2230 
2231 /*E
2232    MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`
2233 
2234    Values:
2235 +  `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2236 .  `MAT_HTOOL_COMPRESSOR_FULL_ACA`                 - full adaptive cross approximation
2237 -  `MAT_HTOOL_COMPRESSOR_SVD`                      - singular value decomposition
2238 
2239    Level: intermediate
2240 
2241 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2242 E*/
2243 typedef enum {
2244   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2245   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2246   MAT_HTOOL_COMPRESSOR_SVD
2247 } MatHtoolCompressorType;
2248 
2249 /*E
2250    MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`
2251 
2252    Values:
2253 +  `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default)    - axis computed via principle component analysis, split uniformly
2254 .  `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC`            - axis computed via principle component analysis, split barycentrically
2255 .  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR`   - axis along the largest extent of the bounding box, split uniformly
2256 -  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically
2257 
2258    Level: intermediate
2259 
2260    Note:
2261    Higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
2262 
2263 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2264 E*/
2265 typedef enum {
2266   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2267   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2268   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2269   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2270 } MatHtoolClusteringType;
2271 #endif
2272 
2273 #ifdef PETSC_HAVE_MUMPS
2274 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2275 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2276 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2277 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);
2278 
2279 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2280 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2281 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2282 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2283 PETSC_EXTERN PetscErrorCode MatMumpsGetNullPivots(Mat, PetscInt *, PetscInt **);
2284 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2285 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2286 #endif
2287 
2288 #ifdef PETSC_HAVE_MKL_PARDISO
2289 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2290 #endif
2291 
2292 #ifdef PETSC_HAVE_MKL_CPARDISO
2293 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2294 #endif
2295 
2296 #ifdef PETSC_HAVE_SUPERLU
2297 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2298 #endif
2299 
2300 #ifdef PETSC_HAVE_SUPERLU_DIST
2301 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2302 #endif
2303 
2304 #ifdef PETSC_HAVE_STRUMPACK
2305 /*E
2306     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `MATSOLVERSTRUMPACK`
2307 
2308     Values:
2309 +  `MAT_STRUMPACK_NATURAL`   - use the current ordering
2310 .  `MAT_STRUMPACK_METIS`     - use MeTis to compute an ordering
2311 .  `MAT_STRUMPACK_PARMETIS`  - use ParMeTis to compute an ordering
2312 .  `MAT_STRUMPACK_SCOTCH`    - use Scotch to compute an ordering
2313 .  `MAT_STRUMPACK_PTSCOTCH`  - use parallel Scotch to compute an ordering
2314 .  `MAT_STRUMPACK_RCM`       - use an RCM ordering
2315 .  `MAT_STRUMPACK_GEOMETRIC` - use a geometric ordering (needs mesh info from user)
2316 .  `MAT_STRUMPACK_AMD`       - approximate minimum degree
2317 .  `MAT_STRUMPACK_MMD`       - multiple minimum degree
2318 .  `MAT_STRUMPACK_AND`       - approximate nested dissection
2319 .  `MAT_STRUMPACK_MLF`       - minimum local fill
2320 -  `MAT_STRUMPACK_SPECTRAL`  - spectral nested dissection
2321 
2322     Level: intermediate
2323 
2324     Developer Note:
2325     Should be called `MatSTRUMPACKReorderingType`
2326 
2327 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetReordering()`
2328 E*/
2329 typedef enum {
2330   MAT_STRUMPACK_NATURAL,
2331   MAT_STRUMPACK_METIS,
2332   MAT_STRUMPACK_PARMETIS,
2333   MAT_STRUMPACK_SCOTCH,
2334   MAT_STRUMPACK_PTSCOTCH,
2335   MAT_STRUMPACK_RCM,
2336   MAT_STRUMPACK_GEOMETRIC,
2337   MAT_STRUMPACK_AMD,
2338   MAT_STRUMPACK_MMD,
2339   MAT_STRUMPACK_AND,
2340   MAT_STRUMPACK_MLF,
2341   MAT_STRUMPACK_SPECTRAL
2342 } MatSTRUMPACKReordering;
2343 
2344 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2345 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetReordering(Mat, MatSTRUMPACKReordering *);
2346 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricNxyz(Mat, PetscInt, PetscInt, PetscInt);
2347 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricComponents(Mat, PetscInt);
2348 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricWidth(Mat, PetscInt);
2349 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2350 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetColPerm(Mat, PetscBool *);
2351 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGPU(Mat, PetscBool);
2352 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetGPU(Mat, PetscBool *);
2353 
2354 /*E
2355     MatSTRUMPACKCompressionType - Compression used in the approximate sparse factorization solver `MATSOLVERSTRUMPACK`
2356 
2357     Values:
2358 +  `MAT_STRUMPACK_COMPRESSION_TYPE_NONE`          - no compression, direct solver
2359 .  `MAT_STRUMPACK_COMPRESSION_TYPE_HSS`           - hierarchically semi-separable
2360 .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR`           - block low rank
2361 .  `MAT_STRUMPACK_COMPRESSION_TYPE_HODLR`         - hierarchically off-diagonal low rank (requires ButterfyPACK support, configure with --download-butterflypack)
2362 .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR`     - hybrid of BLR and HODLR (requires ButterfyPACK support, configure with --download-butterflypack)
2363 .  `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)
2364 .  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS`      - lossless compression (requires ZFP support, configure with --download-zfp)
2365 -  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY`         - lossy compression (requires ZFP support, configure with --download-zfp)
2366 
2367     Level: intermediate
2368 
2369 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetCompression()`
2370 E*/
2371 typedef enum {
2372   MAT_STRUMPACK_COMPRESSION_TYPE_NONE,
2373   MAT_STRUMPACK_COMPRESSION_TYPE_HSS,
2374   MAT_STRUMPACK_COMPRESSION_TYPE_BLR,
2375   MAT_STRUMPACK_COMPRESSION_TYPE_HODLR,
2376   MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR,
2377   MAT_STRUMPACK_COMPRESSION_TYPE_ZFP_BLR_HODLR,
2378   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS,
2379   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY
2380 } MatSTRUMPACKCompressionType;
2381 
2382 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompression(Mat, MatSTRUMPACKCompressionType);
2383 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompression(Mat, MatSTRUMPACKCompressionType *);
2384 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompRelTol(Mat, PetscReal);
2385 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompRelTol(Mat, PetscReal *);
2386 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompAbsTol(Mat, PetscReal);
2387 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompAbsTol(Mat, PetscReal *);
2388 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompMinSepSize(Mat, PetscInt);
2389 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompMinSepSize(Mat, PetscInt *);
2390 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLeafSize(Mat, PetscInt);
2391 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLeafSize(Mat, PetscInt *);
2392 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLossyPrecision(Mat, PetscInt);
2393 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLossyPrecision(Mat, PetscInt *);
2394 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompButterflyLevels(Mat, PetscInt);
2395 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompButterflyLevels(Mat, PetscInt *);
2396 #endif
2397 
2398 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2399 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2400 PETSC_DEPRECATED_FUNCTION(3, 13, 0, "MatBindToCPU()", ) static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2401 {
2402   return MatBindToCPU(A, flg);
2403 }
2404 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2405 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);
2406 
2407 #ifdef PETSC_HAVE_CUDA
2408 /*E
2409     MatCUSPARSEStorageFormat - indicates the storage format for `MATAIJCUSPARSE` (GPU)
2410     matrices.
2411 
2412     Values:
2413 +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2414 .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2415 -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2416 
2417     Level: intermediate
2418 
2419 .seealso: [](ch_matrices), `MATAIJCUSPARSE`, `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2420 E*/
2421 
2422 typedef enum {
2423   MAT_CUSPARSE_CSR,
2424   MAT_CUSPARSE_ELL,
2425   MAT_CUSPARSE_HYB
2426 } MatCUSPARSEStorageFormat;
2427 
2428 /* these will be strings associated with enumerated type defined above */
2429 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2430 
2431 /*E
2432     MatCUSPARSEFormatOperation - indicates the operation of `MATAIJCUSPARSE` (GPU)
2433     matrices whose operation should use a particular storage format.
2434 
2435     Values:
2436 +   `MAT_CUSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2437 .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2438 .   `MAT_CUSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2439 -   `MAT_CUSPARSE_ALL`          - sets the storage format for all `MATAIJCUSPARSE` (GPU) matrices
2440 
2441     Level: intermediate
2442 
2443 .seealso: [](ch_matrices), `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2444 E*/
2445 typedef enum {
2446   MAT_CUSPARSE_MULT_DIAG,
2447   MAT_CUSPARSE_MULT_OFFDIAG,
2448   MAT_CUSPARSE_MULT,
2449   MAT_CUSPARSE_ALL
2450 } MatCUSPARSEFormatOperation;
2451 
2452 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2453 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2454 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2455 PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2456 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2457 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2458 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2459 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2460 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2461 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2462 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2463 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);
2464 
2465 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2466 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2467 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2468 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2469 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2470 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2471 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2472 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2473 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2474 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2475 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2476 PETSC_EXTERN PetscErrorCode MatDenseCUDASetPreallocation(Mat, PetscScalar *);
2477 
2478 PETSC_EXTERN PetscErrorCode MatCreateSeqSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2479 PETSC_EXTERN PetscErrorCode MatCreateSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2480 #endif
2481 
2482 #ifdef PETSC_HAVE_HIP
2483 /*E
2484     MatHIPSPARSEStorageFormat - indicates the storage format for `MATAIJHIPSPARSE` (GPU)
2485     matrices.
2486 
2487     Values:
2488 +   `MAT_HIPSPARSE_CSR` - Compressed Sparse Row
2489 .   `MAT_HIPSPARSE_ELL` - Ellpack
2490 -   `MAT_HIPSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format
2491 
2492     Level: intermediate
2493 
2494 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
2495 E*/
2496 
2497 typedef enum {
2498   MAT_HIPSPARSE_CSR,
2499   MAT_HIPSPARSE_ELL,
2500   MAT_HIPSPARSE_HYB
2501 } MatHIPSPARSEStorageFormat;
2502 
2503 /* these will be strings associated with enumerated type defined above */
2504 PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];
2505 
2506 /*E
2507     MatHIPSPARSEFormatOperation - indicates the operation of `MATAIJHIPSPARSE` (GPU)
2508     matrices whose operation should use a particular storage format.
2509 
2510     Values:
2511 +   `MAT_HIPSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2512 .   `MAT_HIPSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2513 .   `MAT_HIPSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2514 -   `MAT_HIPSPARSE_ALL`          - sets the storage format for all HIPSPARSE (GPU) matrices
2515 
2516     Level: intermediate
2517 
2518 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
2519 E*/
2520 typedef enum {
2521   MAT_HIPSPARSE_MULT_DIAG,
2522   MAT_HIPSPARSE_MULT_OFFDIAG,
2523   MAT_HIPSPARSE_MULT,
2524   MAT_HIPSPARSE_ALL
2525 } MatHIPSPARSEFormatOperation;
2526 
2527 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2528 PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2529 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
2530 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
2531 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2532 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2533 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
2534 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
2535 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
2536 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
2537 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
2538 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);
2539 
2540 PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2541 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2542 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
2543 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
2544 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
2545 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
2546 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
2547 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
2548 PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
2549 PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
2550 PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);
2551 PETSC_EXTERN PetscErrorCode MatDenseHIPSetPreallocation(Mat, PetscScalar *);
2552 PETSC_EXTERN PetscErrorCode MatCreateSeqSELLHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2553 PETSC_EXTERN PetscErrorCode MatCreateSELLHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2554 #endif
2555 
2556 #if defined(PETSC_HAVE_VIENNACL)
2557 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2558 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2559 #endif
2560 
2561 #if PetscDefined(HAVE_KOKKOS)
2562 PETSC_EXTERN PetscErrorCode MatCreateAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2563 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2564 #endif
2565 
2566 #if defined(PETSC_HAVE_FFTW)
2567 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2568 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2569 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2570 #endif
2571 
2572 #if defined(PETSC_HAVE_SCALAPACK)
2573 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2574 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2575 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2576 #endif
2577 
2578 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2579 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2580 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2581 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2582 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2583 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2584 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2585 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2586 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);
2587 
2588 PETSC_EXTERN PetscErrorCode MatFilter(Mat, PetscReal, PetscBool, PetscBool);
2589 PETSC_DEPRECATED_FUNCTION(3, 20, 0, "MatFilter()", ) static inline PetscErrorCode MatChop(Mat A, PetscReal tol)
2590 {
2591   return MatFilter(A, tol, PETSC_FALSE, PETSC_FALSE);
2592 }
2593 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);
2594 
2595 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);
2596 
2597 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);
2598 
2599 PETSC_EXTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2600 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);
2601 
2602 PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);
2603 
2604 PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, PetscInt, PetscInt[], Mat *);
2605 PETSC_EXTERN PetscErrorCode MatEliminateZeros(Mat, PetscBool);
2606 
2607 PETSC_EXTERN PetscErrorCode MatCreateDenseFromVecType(MPI_Comm, VecType, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar *, Mat *);
2608 
2609 PETSC_EXTERN PetscErrorCode MatSetHPL(Mat, int);
2610 #define PETSCBMHPL "hpl"
2611