xref: /petsc/include/petscmat.h (revision 7a5338279d92d13360d231b9bd26d284f35eaa49)
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 MatResetHash(Mat);
538 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
539 PETSC_EXTERN PetscErrorCode MatDestroy(Mat *);
540 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat, PetscObjectState *);
541 
542 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
543 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
544 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
545 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat, Mat *);
546 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat, PetscScalar *);
547 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat, const PetscScalar **);
548 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat, PetscInt, const PetscInt *, PetscScalar *);
549 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat, Mat);
550 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat, MatReuse, Mat *);
551 PETSC_EXTERN PetscErrorCode MatComputeVariableBlockEnvelope(Mat);
552 
553 PETSC_EXTERN PetscErrorCode MatSetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
554 PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat, IS, IS, const PetscScalar[], InsertMode);
555 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
556 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat, PetscInt, const PetscScalar[]);
557 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat, PetscInt, const PetscScalar[]);
558 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt[], const PetscScalar[]);
559 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat, PetscRandom);
560 
561 /*S
562    MatStencil - Data structure (C struct) for storing information about rows and
563    columns of a matrix as indexed on an associated grid. These are arguments to `MatSetStencil()` and `MatSetBlockStencil()`
564 
565    Level: beginner
566 
567    Notes:
568    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).
569    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.
570 
571    For stencil access to vectors see `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`.
572 
573    For staggered grids, see `DMStagStencil`
574 
575    Fortran Note:
576    See `MatSetValuesStencil()` for details.
577 
578 .seealso: [](ch_matrices), `Mat`, `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`,
579           `DMStagStencil`
580 S*/
581 typedef struct {
582   PetscInt k, j, i, c;
583 } MatStencil;
584 
585 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
586 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
587 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat, PetscInt, const PetscInt[], const PetscInt[], PetscInt);
588 
589 /*E
590     MatAssemblyType - Indicates if the process of setting values into the matrix is complete, and the matrix is ready for use
591 
592     Values:
593 +   `MAT_FLUSH_ASSEMBLY` - you will continue to put values into the matrix
594 -   `MAT_FINAL_ASSEMBLY` - you wish to use the matrix with the values currently inserted
595 
596     Level: beginner
597 
598 .seealso: [](ch_matrices), `Mat`, `MatSetValues`, `MatAssemblyBegin()`, `MatAssemblyEnd()`
599 E*/
600 typedef enum {
601   MAT_FLUSH_ASSEMBLY = 1,
602   MAT_FINAL_ASSEMBLY = 0
603 } MatAssemblyType;
604 
605 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat, MatAssemblyType);
606 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat, MatAssemblyType);
607 PETSC_EXTERN PetscErrorCode MatAssembled(Mat, PetscBool *);
608 
609 /*E
610    MatOption - Options that may be set for a matrix that indicate properties of the matrix or affect its behavior or storage
611 
612    Level: beginner
613 
614    Note:
615    See `MatSetOption()` for the use of the options
616 
617    Developer Note:
618    Entries that are negative need not be called collectively by all processes.
619 
620 .seealso: [](ch_matrices), `Mat`, `MatSetOption()`
621 E*/
622 typedef enum {
623   MAT_OPTION_MIN                  = -3,
624   MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
625   MAT_ROW_ORIENTED                = -1,
626   MAT_SYMMETRIC                   = 1,
627   MAT_STRUCTURALLY_SYMMETRIC      = 2,
628   MAT_FORCE_DIAGONAL_ENTRIES      = 3,
629   MAT_IGNORE_OFF_PROC_ENTRIES     = 4,
630   MAT_USE_HASH_TABLE              = 5,
631   MAT_KEEP_NONZERO_PATTERN        = 6,
632   MAT_IGNORE_ZERO_ENTRIES         = 7,
633   MAT_USE_INODES                  = 8,
634   MAT_HERMITIAN                   = 9,
635   MAT_SYMMETRY_ETERNAL            = 10,
636   MAT_NEW_NONZERO_LOCATION_ERR    = 11,
637   MAT_IGNORE_LOWER_TRIANGULAR     = 12,
638   MAT_ERROR_LOWER_TRIANGULAR      = 13,
639   MAT_GETROW_UPPERTRIANGULAR      = 14,
640   MAT_SPD                         = 15,
641   MAT_NO_OFF_PROC_ZERO_ROWS       = 16,
642   MAT_NO_OFF_PROC_ENTRIES         = 17,
643   MAT_NEW_NONZERO_LOCATIONS       = 18,
644   MAT_NEW_NONZERO_ALLOCATION_ERR  = 19,
645   MAT_SUBSET_OFF_PROC_ENTRIES     = 20,
646   MAT_SUBMAT_SINGLEIS             = 21,
647   MAT_STRUCTURE_ONLY              = 22,
648   MAT_SORTED_FULL                 = 23,
649   MAT_FORM_EXPLICIT_TRANSPOSE     = 24,
650   MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
651   MAT_SPD_ETERNAL                 = 26,
652   MAT_OPTION_MAX                  = 27
653 } MatOption;
654 
655 PETSC_EXTERN const char *const *MatOptions;
656 PETSC_EXTERN PetscErrorCode     MatSetOption(Mat, MatOption, PetscBool);
657 PETSC_EXTERN PetscErrorCode     MatGetOption(Mat, MatOption, PetscBool *);
658 PETSC_EXTERN PetscErrorCode     MatPropagateSymmetryOptions(Mat, Mat);
659 PETSC_EXTERN PetscErrorCode     MatGetType(Mat, MatType *);
660 
661 PETSC_EXTERN PetscErrorCode    MatGetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
662 PETSC_EXTERN PetscErrorCode    MatGetRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
663 PETSC_EXTERN PetscErrorCode    MatRestoreRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
664 PETSC_EXTERN PetscErrorCode    MatGetRowUpperTriangular(Mat);
665 PETSC_EXTERN PetscErrorCode    MatRestoreRowUpperTriangular(Mat);
666 PETSC_EXTERN PetscErrorCode    MatGetColumnVector(Mat, Vec, PetscInt);
667 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArray(Mat, PetscScalar *[]);
668 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayRead(Mat, const PetscScalar *[]);
669 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayWrite(Mat, PetscScalar *[]);
670 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArray(Mat, PetscScalar *[]);
671 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayRead(Mat, const PetscScalar *[]);
672 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayWrite(Mat, PetscScalar *[]);
673 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetMaxRowNonzeros(Mat, PetscInt *);
674 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetValuesLocalFast(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
675 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetType(Mat, MatType);
676 PETSC_EXTERN PetscErrorCode    MatSeqAIJKron(Mat, Mat, MatReuse, Mat *);
677 PETSC_EXTERN PetscErrorCode    MatSeqAIJRegister(const char[], PetscErrorCode (*)(Mat, MatType, MatReuse, Mat *));
678 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
679 PETSC_EXTERN PetscErrorCode    MatSeqBAIJGetArray(Mat, PetscScalar *[]);
680 PETSC_EXTERN PetscErrorCode    MatSeqBAIJRestoreArray(Mat, PetscScalar *[]);
681 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJGetArray(Mat, PetscScalar *[]);
682 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJRestoreArray(Mat, PetscScalar *[]);
683 PETSC_EXTERN PetscErrorCode    MatDenseGetArray(Mat, PetscScalar *[]);
684 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArray(Mat, PetscScalar *[]);
685 PETSC_EXTERN PetscErrorCode    MatDensePlaceArray(Mat, const PetscScalar[]);
686 PETSC_EXTERN PetscErrorCode    MatDenseReplaceArray(Mat, const PetscScalar[]);
687 PETSC_EXTERN PetscErrorCode    MatDenseResetArray(Mat);
688 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayRead(Mat, const PetscScalar *[]);
689 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayRead(Mat, const PetscScalar *[]);
690 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWrite(Mat, PetscScalar *[]);
691 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWrite(Mat, PetscScalar *[]);
692 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayAndMemType(Mat, PetscScalar *[], PetscMemType *);
693 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayAndMemType(Mat, PetscScalar *[]);
694 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayReadAndMemType(Mat, const PetscScalar *[], PetscMemType *);
695 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayReadAndMemType(Mat, const PetscScalar *[]);
696 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWriteAndMemType(Mat, PetscScalar *[], PetscMemType *);
697 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWriteAndMemType(Mat, PetscScalar *[]);
698 PETSC_EXTERN PetscErrorCode    MatGetBlockSize(Mat, PetscInt *);
699 PETSC_EXTERN PetscErrorCode    MatSetBlockSize(Mat, PetscInt);
700 PETSC_EXTERN PetscErrorCode    MatGetBlockSizes(Mat, PetscInt *, PetscInt *);
701 PETSC_EXTERN PetscErrorCode    MatSetBlockSizes(Mat, PetscInt, PetscInt);
702 PETSC_EXTERN PetscErrorCode    MatSetBlockSizesFromMats(Mat, Mat, Mat);
703 PETSC_EXTERN PetscErrorCode    MatSetVariableBlockSizes(Mat, PetscInt, const PetscInt[]);
704 PETSC_EXTERN PetscErrorCode    MatGetVariableBlockSizes(Mat, PetscInt *, const PetscInt *[]);
705 
706 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat, PetscInt, PetscScalar *[]);
707 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat, PetscScalar *[]);
708 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat, PetscInt, Vec *);
709 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat, PetscInt, Vec *);
710 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat, PetscInt, Vec *);
711 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat, PetscInt, Vec *);
712 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat, PetscInt, Vec *);
713 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat, PetscInt, Vec *);
714 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
715 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat, Mat *);
716 
717 PETSC_EXTERN PetscErrorCode MatMult(Mat, Vec, Vec);
718 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat, Vec, Vec);
719 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat, Vec, Vec, Vec);
720 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat, Vec, Vec);
721 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat, Vec, Vec);
722 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat, Mat, PetscReal, PetscBool *);
723 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat, Mat, PetscReal, PetscBool *);
724 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat, Vec, Vec, Vec);
725 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat, Vec, Vec, Vec);
726 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat, Mat, Mat);
727 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat, Mat, Mat);
728 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat, Mat, Mat);
729 PETSC_EXTERN PetscErrorCode MatResidual(Mat, Vec, Vec, Vec);
730 
731 /*E
732   MatDuplicateOption - Indicates if a duplicated sparse matrix should have
733   its numerical values copied over or just its nonzero structure.
734 
735   Values:
736 + `MAT_DO_NOT_COPY_VALUES`    - Create a matrix using the same nonzero pattern as the original matrix,
737                                 with zeros for the numerical values
738 . `MAT_COPY_VALUES`           - Create a matrix with the same nonzero pattern as the original matrix
739                                 and with the same numerical values.
740 - `MAT_SHARE_NONZERO_PATTERN` - Create a matrix that shares the nonzero structure with the previous matrix
741                                 and does not copy it, using zeros for the numerical values. The parent and
742                                 child matrices will share their index (i and j) arrays, and you cannot
743                                 insert new nonzero entries into either matrix
744 
745   Level: beginner
746 
747   Note:
748   Many matrix types (including `MATSEQAIJ`) do not support the `MAT_SHARE_NONZERO_PATTERN` optimization; in
749   this case the behavior is as if `MAT_DO_NOT_COPY_VALUES` has been specified.
750 
751 .seealso: [](ch_matrices), `Mat`, `MatDuplicate()`
752 E*/
753 typedef enum {
754   MAT_DO_NOT_COPY_VALUES,
755   MAT_COPY_VALUES,
756   MAT_SHARE_NONZERO_PATTERN
757 } MatDuplicateOption;
758 
759 PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
760 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);
761 
762 PETSC_EXTERN PetscErrorCode MatCopy(Mat, Mat, MatStructure);
763 PETSC_EXTERN PetscErrorCode MatView(Mat, PetscViewer);
764 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat, PetscReal, PetscBool *);
765 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat, PetscBool *);
766 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat, PetscReal, PetscBool *);
767 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat, PetscBool *, PetscBool *);
768 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat, PetscBool *, PetscBool *);
769 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat, PetscBool *, PetscBool *);
770 PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat, PetscBool *, PetscBool *);
771 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat, PetscBool *, PetscInt *);
772 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
773 
774 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
775 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
776 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
777 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
778 
779 /*S
780    MatInfo - Context of matrix information, used with `MatGetInfo()`
781 
782    Level: intermediate
783 
784    Fortran Note:
785    Information is stored as a double-precision array of dimension `MAT_INFO_SIZE`
786 
787 .seealso: [](ch_matrices), `Mat`, `MatGetInfo()`, `MatInfoType`
788 S*/
789 typedef struct {
790   PetscLogDouble block_size;                          /* block size */
791   PetscLogDouble nz_allocated, nz_used, nz_unneeded;  /* number of nonzeros */
792   PetscLogDouble memory;                              /* memory allocated */
793   PetscLogDouble assemblies;                          /* number of matrix assemblies called */
794   PetscLogDouble mallocs;                             /* number of mallocs during MatSetValues() */
795   PetscLogDouble fill_ratio_given, fill_ratio_needed; /* fill ratio for LU/ILU */
796   PetscLogDouble factor_mallocs;                      /* number of mallocs during factorization */
797 } MatInfo;
798 
799 /*E
800     MatInfoType - Indicates if you want information about the local part of the matrix,
801     the entire parallel matrix or the maximum over all the local parts.
802 
803     Values:
804 +   `MAT_LOCAL`      - values for each MPI process part of the matrix
805 .   `MAT_GLOBAL_MAX` - maximum of each value over all MPI processes
806 -   `MAT_GLOBAL_SUM` - sum of each value over all MPI processes
807 
808     Level: beginner
809 
810 .seealso: [](ch_matrices), `MatGetInfo()`, `MatInfo`
811 E*/
812 typedef enum {
813   MAT_LOCAL      = 1,
814   MAT_GLOBAL_MAX = 2,
815   MAT_GLOBAL_SUM = 3
816 } MatInfoType;
817 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat, MatInfoType, MatInfo *);
818 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat, Vec);
819 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat, Vec, PetscInt[]);
820 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat, Vec, PetscInt[]);
821 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat, Vec, PetscInt[]);
822 PETSC_EXTERN PetscErrorCode MatGetRowSumAbs(Mat, Vec);
823 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat, Vec, PetscInt[]);
824 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat, Vec);
825 PETSC_EXTERN PetscErrorCode MatTranspose(Mat, MatReuse, Mat *);
826 PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat, Mat *);
827 PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat, Mat);
828 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat, MatReuse, Mat *);
829 PETSC_EXTERN PetscErrorCode MatPermute(Mat, IS, IS, Mat *);
830 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat, Vec, Vec);
831 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat, Vec, InsertMode);
832 
833 PETSC_EXTERN PetscErrorCode MatEqual(Mat, Mat, PetscBool *);
834 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat, Mat, PetscInt, PetscBool *);
835 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat, Mat, PetscInt, PetscBool *);
836 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
837 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
838 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
839 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
840 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
841 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
842 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
843 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
844 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
845 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat, PetscInt, PetscBool *);
846 
847 PETSC_EXTERN PetscErrorCode MatNorm(Mat, NormType, PetscReal *);
848 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat, NormType, PetscReal *);
849 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat, PetscScalar *);
850 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat, PetscReal *);
851 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat, PetscReal *);
852 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat, PetscScalar *);
853 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat, PetscReal *);
854 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat, PetscReal *);
855 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat, PetscInt, PetscReal *);
856 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
857 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
858 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
859 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat, IS, PetscScalar, Vec, Vec);
860 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
861 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
862 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
863 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat, IS, PetscScalar, Vec, Vec);
864 
865 PETSC_EXTERN PetscErrorCode MatGetSize(Mat, PetscInt *, PetscInt *);
866 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat, PetscInt *, PetscInt *);
867 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat, PetscInt *, PetscInt *);
868 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat, const PetscInt **);
869 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat, PetscInt *, PetscInt *);
870 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat, const PetscInt **);
871 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat, IS *, IS *);
872 
873 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
874 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[])
875 {
876   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
877 }
878 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
879 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[])
880 {
881   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
882 }
883 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
884 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
885 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
886 PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatrix()", ) static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat)
887 {
888   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
889 }
890 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
891 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
892 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
893 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);
894 
895 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm, Mat, PetscInt, PetscInt, MatReuse, Mat *);
896 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm, Mat, PetscInt, PetscInt, Mat *);
897 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat, Mat);
898 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat, MatReuse, Mat *);
899 PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat, Mat *);
900 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
901 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat, MatReuse, IS *, Mat *);
902 PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat, PetscCount *);
903 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat, Mat, MatReuse, IS *, IS *, Mat *);
904 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *, const PetscInt *[]);
905 
906 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
907 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat, PetscInt n, IS is[], PetscInt ov);
908 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);
909 
910 PETSC_EXTERN PetscErrorCode MatMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
911 
912 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
913 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
914 
915 PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
916 PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);
917 
918 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
919 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);
920 
921 PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
922 PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);
923 
924 PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
925 PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);
926 
927 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping, ISLocalToGlobalMapping);
928 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
929 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat, PetscLayout *, PetscLayout *);
930 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat, PetscLayout, PetscLayout);
931 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
932 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
933 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
934 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
935 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
936 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
937 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
938 
939 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
940 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);
941 
942 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat, Vec, Vec);
943 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat, Vec, Vec, Vec);
944 PETSC_EXTERN PetscErrorCode MatRestrict(Mat, Vec, Vec);
945 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat, Mat, Mat *);
946 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat, Mat, Mat, Mat *);
947 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat, Mat, Mat *);
948 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat, Vec *, Vec *);
949 PETSC_DEPRECATED_FUNCTION(3, 6, 0, "MatCreateVecs()", ) static inline PetscErrorCode MatGetVecs(Mat mat, Vec *x, Vec *y)
950 {
951   return MatCreateVecs(mat, x, y);
952 }
953 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat, PetscInt, MPI_Comm, MatReuse, Mat *);
954 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat, MPI_Comm, MatReuse, Mat *);
955 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat, IS *);
956 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat, IS *);
957 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm, Mat, PetscInt, MatReuse, Mat *);
958 
959 PETSC_EXTERN PetscErrorCode MatCopyHashToXAIJ(Mat A, Mat B);
960 /*@C
961    MatSetValue - Set a single entry into a matrix.
962 
963    Not Collective
964 
965    Input Parameters:
966 +  mat  - the matrix
967 .  i    - the row location of the entry
968 .  j    - the column location of the entry
969 .  va   - the value to insert
970 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
971 
972    Level: beginner
973 
974    Notes:
975    This value may be cached, so `MatAssemblyBegin()` and `MatAssemblyEnd()`
976    MUST be called after all calls to `MatSetValue()` have been completed.
977 
978    For efficiency one should use `MatSetValues()` and set several values simultaneously.
979 
980 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `InsertMode`, `MatGetValue()`, `MatSetValues()`,
981           `MatSetValueLocal()`, `MatSetValuesLocal()`
982 @*/
983 static inline PetscErrorCode MatSetValue(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
984 {
985   return MatSetValues(mat, 1, &i, 1, &j, &va, mode);
986 }
987 
988 /*@C
989    MatGetValue - Gets a single value from a matrix
990 
991    Not Collective; can only return a value owned by the given process
992 
993    Input Parameters:
994 +  mat - the matrix
995 .  row - the row location of the entry
996 -  col - the column location of the entry
997 
998    Output Parameter:
999 .  va - the value
1000 
1001    Level: advanced
1002 
1003    Notes:
1004    The matrix must have been assembled with `MatAssemblyBegin()` and `MatAssemblyEnd()` before this call
1005 
1006    For efficiency one should use `MatGetValues()` and get several values simultaneously.
1007 
1008    See notes for `MatGetValues()`.
1009 
1010 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
1011 @*/
1012 static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
1013 {
1014   return MatGetValues(mat, 1, &row, 1, &col, va);
1015 }
1016 
1017 /*@C
1018    MatSetValueLocal - Inserts or adds a single value into a matrix, using a local numbering of the nodes.
1019 
1020    Not Collective
1021 
1022    Input Parameters:
1023 +  mat  - the matrix
1024 .  i    - the row location of the entry
1025 .  j    - the column location of the entry
1026 .  va   - the value to insert
1027 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
1028 
1029    Level: intermediate
1030 
1031    Notes:
1032    For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.
1033 
1034    See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.
1035 
1036 .seealso: [](ch_matrices), `MatSetValue()`, `MatSetValuesLocal()`
1037 @*/
1038 static inline PetscErrorCode MatSetValueLocal(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
1039 {
1040   return MatSetValuesLocal(mat, 1, &i, 1, &j, &va, mode);
1041 }
1042 
1043 /*MC
1044    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
1045    row in a matrix providing the data that one can use to correctly preallocate the matrix.
1046 
1047    Synopsis:
1048    #include <petscmat.h>
1049    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
1050 
1051    Collective
1052 
1053    Input Parameters:
1054 +  comm  - the communicator that will share the eventually allocated matrix
1055 .  nrows - the number of LOCAL rows in the matrix
1056 -  ncols - the number of LOCAL columns in the matrix
1057 
1058    Output Parameters:
1059 +  dnz - the array that will be passed to the matrix preallocation routines
1060 -  onz - the other array passed to the matrix preallocation routines
1061 
1062    Level: deprecated (since v3.19)
1063 
1064    Notes:
1065    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1066    the use of this routine
1067 
1068    This is a macro that handles its own error checking, it does not return an error code.
1069 
1070    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1071 
1072    Developer Note:
1073    This is a MACRO, not a function, because it has a leading { that is closed by `PetscPreallocateFinalize()`.
1074 
1075 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1076           `MatPreallocateSymmetricSetLocalBlock()`
1077 M*/
1078 #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
1079   do { \
1080     PetscInt              __nrows = (nrows), __ncols = (ncols), __rstart, __end = 0; \
1081     PetscInt PETSC_UNUSED __start; \
1082     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
1083     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
1084     __start = __end - __ncols; \
1085     (void)__start; \
1086     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
1087   __rstart -= __nrows
1088 
1089 #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateBegin()", ) MatPreallocateBegin(__VA_ARGS__)
1090 
1091 /*MC
1092    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1093    inserted using a local number of the rows and columns
1094 
1095    Synopsis:
1096    #include <petscmat.h>
1097    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1098 
1099    Not Collective
1100 
1101    Input Parameters:
1102 +  map   - the row mapping from local numbering to global numbering
1103 .  nrows - the number of rows indicated
1104 .  rows  - the indices of the rows
1105 .  cmap  - the column mapping from local to global numbering
1106 .  ncols - the number of columns in the matrix
1107 .  cols  - the columns indicated
1108 .  dnz   - the array that will be passed to the matrix preallocation routines
1109 -  onz   - the other array passed to the matrix preallocation routines
1110 
1111    Level: deprecated (since v3.19)
1112 
1113    Notes:
1114    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1115    the use of this routine
1116 
1117    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1118 
1119 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1120           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
1121 M*/
1122 #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1123   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));)
1124 
1125 /*MC
1126    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1127    inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
1128 
1129    Synopsis:
1130    #include <petscmat.h>
1131    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1132 
1133    Not Collective
1134 
1135    Input Parameters:
1136 +  map   - the row mapping from local numbering to global numbering
1137 .  nrows - the number of rows indicated
1138 .  rows  - the indices of the rows (these values are mapped to the global values)
1139 .  cmap  - the column mapping from local to global numbering
1140 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1141 .  cols  - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1142 .  dnz   - the array that will be passed to the matrix preallocation routines
1143 -  onz   - the other array passed to the matrix preallocation routines
1144 
1145    Level: deprecated (since v3.19)
1146 
1147    Notes:
1148    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1149    the use of this routine
1150 
1151    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1152 
1153 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1154           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1155 M*/
1156 #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1157   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));)
1158 
1159 /*MC
1160    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1161    inserted using a local number of the rows and columns
1162 
1163    Synopsis:
1164    #include <petscmat.h>
1165    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1166 
1167    Not Collective
1168 
1169    Input Parameters:
1170 +  map   - the row mapping from local numbering to global numbering
1171 .  nrows - the number of rows indicated
1172 .  rows  - the indices of the rows
1173 .  cmap  - the column mapping from local to global numbering
1174 .  ncols - the number of columns in the matrix
1175 .  cols  - the columns indicated
1176 .  dnz   - the array that will be passed to the matrix preallocation routines
1177 -  onz   - the other array passed to the matrix preallocation routines
1178 
1179    Level: deprecated (since v3.19)
1180 
1181    Notes:
1182    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1183    the use of this routine
1184 
1185    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1186 
1187 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1188           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1189 M*/
1190 #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1191   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));)
1192 
1193 /*MC
1194    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1195    inserted using a local number of the rows and columns
1196 
1197    Synopsis:
1198    #include <petscmat.h>
1199    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1200 
1201    Not Collective
1202 
1203    Input Parameters:
1204 +  map   - the mapping between local numbering and global numbering
1205 .  nrows - the number of rows indicated
1206 .  rows  - the indices of the rows
1207 .  ncols - the number of columns in the matrix
1208 .  cols  - the columns indicated
1209 .  dnz   - the array that will be passed to the matrix preallocation routines
1210 -  onz   - the other array passed to the matrix preallocation routines
1211 
1212    Level: deprecated (since v3.19)
1213 
1214    Notes:
1215    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1216    the use of this routine
1217 
1218    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1219 
1220 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`
1221           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1222 M*/
1223 #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1224   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));)
1225 
1226 /*MC
1227    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1228    inserted using a local number of the rows and columns
1229 
1230    Synopsis:
1231    #include <petscmat.h>
1232    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1233 
1234    Not Collective
1235 
1236    Input Parameters:
1237 +  row   - the row
1238 .  ncols - the number of columns in the matrix
1239 -  cols  - the columns indicated
1240 
1241    Output Parameters:
1242 +  dnz - the array that will be passed to the matrix preallocation routines
1243 -  onz - the other array passed to the matrix preallocation routines
1244 
1245    Level: deprecated (since v3.19)
1246 
1247    Notes:
1248    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1249    the use of this routine
1250 
1251    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1252 
1253    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().
1254 
1255 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1256           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1257 M*/
1258 #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1259   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) { \
1260     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1261     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1262   })
1263 
1264 /*MC
1265    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1266    inserted using a local number of the rows and columns
1267 
1268    Synopsis:
1269    #include <petscmat.h>
1270    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1271 
1272    Not Collective
1273 
1274    Input Parameters:
1275 +  nrows - the number of rows indicated
1276 .  rows  - the indices of the rows
1277 .  ncols - the number of columns in the matrix
1278 .  cols  - the columns indicated
1279 .  dnz   - the array that will be passed to the matrix preallocation routines
1280 -  onz   - the other array passed to the matrix preallocation routines
1281 
1282    Level: deprecated (since v3.19)
1283 
1284    Notes:
1285    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1286    the use of this routine
1287 
1288    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1289 
1290    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().
1291 
1292 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1293           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1294 M*/
1295 #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1296   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
1297     if (cols[__i] >= __end) onz[row - __rstart]++; \
1298     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1299   })
1300 
1301 /*MC
1302    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1303 
1304    Synopsis:
1305    #include <petscmat.h>
1306    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1307 
1308    Not Collective
1309 
1310    Input Parameters:
1311 +  A     - matrix
1312 .  row   - row where values exist (must be local to this process)
1313 .  ncols - number of columns
1314 .  cols  - columns with nonzeros
1315 .  dnz   - the array that will be passed to the matrix preallocation routines
1316 -  onz   - the other array passed to the matrix preallocation routines
1317 
1318    Level: deprecated (since v3.19)
1319 
1320    Notes:
1321    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1322    the use of this routine
1323 
1324    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1325 
1326    Developer Note:
1327    This is a MACRO, not a function, because it uses a bunch of variables private to the MatPreallocation.... routines.
1328 
1329 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1330           `MatPreallocateSymmetricSetLocalBlock()`
1331 M*/
1332 #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))
1333 
1334 /*MC
1335    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1336    row in a matrix providing the data that one can use to correctly preallocate the matrix.
1337 
1338    Synopsis:
1339    #include <petscmat.h>
1340    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)
1341 
1342    Collective
1343 
1344    Input Parameters:
1345 +  dnz - the array that was be passed to the matrix preallocation routines
1346 -  onz - the other array passed to the matrix preallocation routines
1347 
1348    Level: deprecated (since v3.19)
1349 
1350    Notes:
1351    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1352    the use of this routine
1353 
1354    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1355 
1356    Developer Note:
1357    This is a MACRO, not a function, because it closes the { started in MatPreallocateBegin().
1358 
1359 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1360           `MatPreallocateSymmetricSetLocalBlock()`
1361 M*/
1362 #define MatPreallocateEnd(dnz, onz) \
1363   PetscCall(PetscFree2(dnz, onz)); \
1364   } \
1365   while (0)
1366 
1367 #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateEnd()", ) MatPreallocateEnd(__VA_ARGS__)
1368 
1369 /* Routines unique to particular data structures */
1370 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, void *);
1371 
1372 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1373 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);
1374 
1375 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1376 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1377 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1378 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1379 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1380 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscInt, PetscBool);
1381 
1382 #define MAT_SKIP_ALLOCATION -4
1383 
1384 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1385 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1386 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1387 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);
1388 
1389 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1390 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1391 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1392 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1393 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1394 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1395 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1396 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1397 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1398 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1399 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1400 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1401 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1402 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1403 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);
1404 
1405 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1406 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1407 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatDenseSetLDA()", ) static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
1408 {
1409   return MatDenseSetLDA(A, lda);
1410 }
1411 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);
1412 
1413 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1414 
1415 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1416 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1417 
1418 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1419 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1420 /*
1421   These routines are not usually accessed directly, rather solving is
1422   done through the KSP and PC interfaces.
1423 */
1424 
1425 /*J
1426    MatOrderingType - String with the name of a PETSc matrix ordering. These orderings are most commonly used
1427    to reduce fill in sparse factorizations.
1428 
1429    Level: beginner
1430 
1431    Notes:
1432    If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and instead the external factorization solver package called utilizes one
1433    of its own.
1434 
1435    There is no `MatOrdering` object, the ordering is obtained directly from the matrix with `MatGetOrdering()`
1436 
1437    Developer Note:
1438    This API should be converted to an API similar to those for `MatColoring` and `MatPartitioning`
1439 
1440 .seealso: [](ch_matrices), [](sec_graph), `MatGetFactor()`, `MatGetOrdering()`, `MatColoringType`, `MatPartitioningType`, `MatCoarsenType`, `MatCoarsenType`,
1441           `PCFactorSetOrderingType()`
1442 J*/
1443 typedef const char *MatOrderingType;
1444 #define MATORDERINGNATURAL       "natural"
1445 #define MATORDERINGND            "nd"
1446 #define MATORDERING1WD           "1wd"
1447 #define MATORDERINGRCM           "rcm"
1448 #define MATORDERINGQMD           "qmd"
1449 #define MATORDERINGROWLENGTH     "rowlength"
1450 #define MATORDERINGWBM           "wbm"
1451 #define MATORDERINGSPECTRAL      "spectral"
1452 #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1453 #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1454 #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 */
1455 #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */
1456 
1457 PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1458 PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1459 PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1460 PETSC_EXTERN PetscFunctionList MatOrderingList;
1461 
1462 #include "petscmatcoarsen.h"
1463 
1464 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1465 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);
1466 
1467 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);
1468 
1469 /*S
1470    MatFactorShiftType - Type of numeric shift used for factorizations
1471 
1472    Values:
1473 +  `MAT_SHIFT_NONE`              - do not shift the matrix diagonal entries
1474 .  `MAT_SHIFT_NONZERO`           - shift the entries to be non-zero
1475 .  `MAT_SHIFT_POSITIVE_DEFINITE` - shift the entries to force the factorization to be positive definite
1476 -  `MAT_SHIFT_INBLOCKS`          - only shift the factors inside the small dense diagonal blocks of the matrix, for example with `MATBAIJ`
1477 
1478    Level: intermediate
1479 
1480 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `PCFactorSetShiftType()`
1481 S*/
1482 typedef enum {
1483   MAT_SHIFT_NONE,
1484   MAT_SHIFT_NONZERO,
1485   MAT_SHIFT_POSITIVE_DEFINITE,
1486   MAT_SHIFT_INBLOCKS
1487 } MatFactorShiftType;
1488 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1489 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1490 
1491 /*S
1492     MatFactorError - indicates what type of error was generated in a matrix factorization
1493 
1494     Values:
1495 +   `MAT_FACTOR_NOERROR`           - there was no error during the factorization
1496 .   `MAT_FACTOR_STRUCT_ZEROPIVOT`  - there was a missing entry in a diagonal location of the matrix
1497 .   `MAT_FACTOR_NUMERIC_ZEROPIVOT` - there was a (near) zero pivot during the factorization
1498 .   `MAT_FACTOR_OUTMEMORY`         - the factorization has run out of memory
1499 -   `MAT_FACTOR_OTHER`             - some other error has occurred.
1500 
1501     Level: intermediate
1502 
1503     Note:
1504     When a factorization is done in a preconditioner `PC` the error may be propagated up to a `PCFailedReason` or a `KSPConvergedReason`
1505 
1506 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `MatFactorGetError()`, `MatFactorGetErrorZeroPivot()`, `MatFactorClearError()`,
1507           `PCFailedReason`, `PCGetFailedReason()`, `KSPConvergedReason`
1508 S*/
1509 typedef enum {
1510   MAT_FACTOR_NOERROR,
1511   MAT_FACTOR_STRUCT_ZEROPIVOT,
1512   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1513   MAT_FACTOR_OUTMEMORY,
1514   MAT_FACTOR_OTHER
1515 } MatFactorError;
1516 
1517 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1518 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1519 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);
1520 
1521 /*S
1522    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1523 
1524    Level: developer
1525 
1526    Note:
1527    You can use `MatFactorInfoInitialize()` to set default values.
1528 
1529    Fortran Note:
1530    The data is available in a double precision arrays of size `MAT_FACTORINFO_SIZE`
1531 
1532 .seealso: [](ch_matrices), `Mat`, `MatInfo`, `MatGetFactor()`, `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`,
1533           `MatICCFactorSymbolic()`, `MatICCFactor()`, `MatFactorInfoInitialize()`
1534 S*/
1535 typedef struct {
1536   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1537   PetscReal usedt;
1538   PetscReal dt;            /* drop tolerance */
1539   PetscReal dtcol;         /* tolerance for pivoting */
1540   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1541   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1542   PetscReal levels;        /* ICC/ILU(levels) */
1543   PetscReal pivotinblocks; /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1544                                    factorization may be faster if do not pivot */
1545   PetscReal zeropivot;     /* pivot is called zero if less than this */
1546   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1547   PetscReal shiftamount;   /* how large the shift is */
1548 } MatFactorInfo;
1549 
1550 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1551 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1552 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1553 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1554 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1555 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1556 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1557 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1558 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1559 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1560 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1561 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1562 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1563 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1564 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1565 PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1566 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1567 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1568 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1569 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1570 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1571 PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1572 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1573 
1574 typedef enum {
1575   MAT_FACTOR_SCHUR_UNFACTORED,
1576   MAT_FACTOR_SCHUR_FACTORED,
1577   MAT_FACTOR_SCHUR_INVERTED
1578 } MatFactorSchurStatus;
1579 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1580 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1581 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1582 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1583 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1584 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1585 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1586 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1587 
1588 PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1589 /*E
1590    MatSORType - What type of (S)SOR to perform
1591 
1592    Values:
1593 +  `SOR_FORWARD_SWEEP`         - do a sweep from the first row of the matrix to the last
1594 .  `SOR_BACKWARD_SWEEP`        - do a sweep from the last row to the first
1595 .  `SOR_SYMMETRIC_SWEEP`       - do a sweep from the first row to the last and then back to the first
1596 .  `SOR_LOCAL_FORWARD_SWEEP`   - each MPI process does its own forward sweep with no communication
1597 .  `SOR_LOCAL_BACKWARD_SWEEP`  - each MPI process does its own backward sweep with no communication
1598 .  `SOR_LOCAL_SYMMETRIC_SWEEP` - each MPI process does its own symmetric sweep with no communication
1599 .  `SOR_ZERO_INITIAL_GUESS`    - indicates the initial solution is zero so the sweep can avoid unneeded computation
1600 .  `SOR_EISENSTAT`             - apply the Eisentat application of SOR, see `PCEISENSTAT`
1601 .  `SOR_APPLY_UPPER`           - multiply by the upper triangular portion of the matrix
1602 -  `SOR_APPLY_LOWER`           - multiply by the lower triangular portion of the matrix
1603 
1604    Level: beginner
1605 
1606    Note:
1607    These may be bitwise ORd together
1608 
1609    Developer Note:
1610    Since `MatSORType` may be bitwise ORd together, so do not change the numerical values below
1611 
1612 .seealso: [](ch_matrices), `MatSOR()`
1613 E*/
1614 typedef enum {
1615   SOR_FORWARD_SWEEP         = 1,
1616   SOR_BACKWARD_SWEEP        = 2,
1617   SOR_SYMMETRIC_SWEEP       = 3,
1618   SOR_LOCAL_FORWARD_SWEEP   = 4,
1619   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1620   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1621   SOR_ZERO_INITIAL_GUESS    = 16,
1622   SOR_EISENSTAT             = 32,
1623   SOR_APPLY_UPPER           = 64,
1624   SOR_APPLY_LOWER           = 128
1625 } MatSORType;
1626 PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);
1627 
1628 /*S
1629    MatColoring - Object for managing the coloring of matrices.
1630 
1631    Level: beginner
1632 
1633    Notes:
1634    Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1635    matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).
1636 
1637    Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1638    same object can also be used to efficiently convert data created by Automatic Differentiation tools to PETSc sparse matrices.
1639 
1640 .seealso: [](ch_matrices), [](sec_graph), `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`,
1641           `MatPartitioning`, `MatColoringType`, `MatPartitioningType`, `MatOrderingType`, `MatColoringSetWeightType()`,
1642           `MatColoringSetWeights()`, `MatCoarsenType`, `MatCoarsen`
1643 S*/
1644 typedef struct _p_MatColoring *MatColoring;
1645 
1646 /*J
1647    MatColoringType - String with the name of a PETSc matrix coloring
1648 
1649    Level: beginner
1650 
1651 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatFDColoringCreate()`, `MatColoringSetType()`, `MatColoring`
1652 J*/
1653 typedef const char *MatColoringType;
1654 #define MATCOLORINGJP      "jp"
1655 #define MATCOLORINGPOWER   "power"
1656 #define MATCOLORINGNATURAL "natural"
1657 #define MATCOLORINGSL      "sl"
1658 #define MATCOLORINGLF      "lf"
1659 #define MATCOLORINGID      "id"
1660 #define MATCOLORINGGREEDY  "greedy"
1661 
1662 /*E
1663    MatColoringWeightType - Type of weight scheme used for the coloring algorithm
1664 
1665    Values:
1666 +  `MAT_COLORING_RANDOM`  - Random weights
1667 .  `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1668 -  `MAT_COLORING_LF`      - Last-first weighting.
1669 
1670     Level: intermediate
1671 
1672 .seealso: [](ch_matrices), `MatColoring`, `MatColoringCreate()`, `MatColoringSetWeightType()`, `MatColoringSetWeights()`
1673 E*/
1674 typedef enum {
1675   MAT_COLORING_WEIGHT_RANDOM,
1676   MAT_COLORING_WEIGHT_LEXICAL,
1677   MAT_COLORING_WEIGHT_LF,
1678   MAT_COLORING_WEIGHT_SL
1679 } MatColoringWeightType;
1680 
1681 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1682 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1683 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1684 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1685 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1686 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1687 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1688 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1689 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1690 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1691 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1692 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1693 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1694 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1695 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1696 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1697 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1698 PETSC_DEPRECATED_FUNCTION(3, 10, 0, "MatColoringTest()", ) static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
1699 {
1700   return MatColoringTest(matcoloring, iscoloring);
1701 }
1702 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);
1703 
1704 /*S
1705    MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring
1706 
1707    Level: beginner
1708 
1709    Notes:
1710    This object is creating utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`
1711 
1712    The `SNES` option `-snes_fd_coloring` will cause the Jacobian needed by `SNES` to be computed via a use of this object
1713 
1714 .seealso: [](ch_matrices), `Mat`, `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1715 S*/
1716 typedef struct _p_MatFDColoring *MatFDColoring;
1717 
1718 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1719 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1720 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1721 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, PetscErrorCode (*)(void), void *);
1722 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, PetscErrorCode (**)(void), void **);
1723 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1724 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1725 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1726 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1727 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1728 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1729 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1730 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);
1731 
1732 /*S
1733    MatTransposeColoring - Object for computing a sparse matrix product $C = A*B^T$ via coloring
1734 
1735    Level: developer
1736 
1737 .seealso: [](ch_matrices), `Mat`, `MatProductType`, `MatTransposeColoringCreate()`
1738 S*/
1739 typedef struct _p_MatTransposeColoring *MatTransposeColoring;
1740 
1741 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1742 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1743 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1744 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);
1745 
1746 /*S
1747    MatPartitioning - Object for managing the partitioning of a matrix or graph
1748 
1749    Level: beginner
1750 
1751    Note:
1752    There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1753    via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)
1754 
1755    Developer Note:
1756    It is an extra maintenance and documentation cost to have two objects with the same functionality. `PetscPartitioner` should be removed
1757 
1758 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`, `MatOrderingType`,
1759           `MatCoarsenType`, `MatCoarsenType`
1760 S*/
1761 typedef struct _p_MatPartitioning *MatPartitioning;
1762 
1763 /*J
1764     MatPartitioningType - String with the name of a PETSc matrix partitioning
1765 
1766    Level: beginner
1767 dm
1768 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`, `MatColoringType`, `MatOrderingType`,
1769           `MatCoarsenType`, `MatCoarsenType`
1770 J*/
1771 typedef const char *MatPartitioningType;
1772 #define MATPARTITIONINGCURRENT  "current"
1773 #define MATPARTITIONINGAVERAGE  "average"
1774 #define MATPARTITIONINGSQUARE   "square"
1775 #define MATPARTITIONINGPARMETIS "parmetis"
1776 #define MATPARTITIONINGCHACO    "chaco"
1777 #define MATPARTITIONINGPARTY    "party"
1778 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1779 #define MATPARTITIONINGHIERARCH "hierarch"
1780 
1781 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1782 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1783 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1784 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1785 PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1786 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1787 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1788 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1789 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1790 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1791 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1792 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1793 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1794 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1795 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1796 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1797 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1798 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1799 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);
1800 
1801 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1802 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1803 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1804 
1805 typedef enum {
1806   MP_CHACO_MULTILEVEL = 1,
1807   MP_CHACO_SPECTRAL   = 2,
1808   MP_CHACO_LINEAR     = 4,
1809   MP_CHACO_RANDOM     = 5,
1810   MP_CHACO_SCATTERED  = 6
1811 } MPChacoGlobalType;
1812 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1813 typedef enum {
1814   MP_CHACO_KERNIGHAN = 1,
1815   MP_CHACO_NONE      = 2
1816 } MPChacoLocalType;
1817 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1818 typedef enum {
1819   MP_CHACO_LANCZOS = 0,
1820   MP_CHACO_RQI     = 1
1821 } MPChacoEigenType;
1822 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1823 
1824 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1825 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1826 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1827 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1828 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1829 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1830 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1831 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1832 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1833 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1834 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);
1835 
1836 #define MP_PARTY_OPT "opt"
1837 #define MP_PARTY_LIN "lin"
1838 #define MP_PARTY_SCA "sca"
1839 #define MP_PARTY_RAN "ran"
1840 #define MP_PARTY_GBF "gbf"
1841 #define MP_PARTY_GCF "gcf"
1842 #define MP_PARTY_BUB "bub"
1843 #define MP_PARTY_DEF "def"
1844 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1845 #define MP_PARTY_HELPFUL_SETS  "hs"
1846 #define MP_PARTY_KERNIGHAN_LIN "kl"
1847 #define MP_PARTY_NONE          "no"
1848 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1849 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1850 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1851 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);
1852 
1853 typedef enum {
1854   MP_PTSCOTCH_DEFAULT,
1855   MP_PTSCOTCH_QUALITY,
1856   MP_PTSCOTCH_SPEED,
1857   MP_PTSCOTCH_BALANCE,
1858   MP_PTSCOTCH_SAFETY,
1859   MP_PTSCOTCH_SCALABILITY
1860 } MPPTScotchStrategyType;
1861 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1862 
1863 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1864 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1865 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1866 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);
1867 
1868 /*
1869  * hierarchical partitioning
1870  */
1871 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1872 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1873 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1874 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1875 
1876 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);
1877 
1878 /*
1879     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1880     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1881 */
1882 typedef enum {
1883   MATOP_SET_VALUES               = 0,
1884   MATOP_GET_ROW                  = 1,
1885   MATOP_RESTORE_ROW              = 2,
1886   MATOP_MULT                     = 3,
1887   MATOP_MULT_ADD                 = 4,
1888   MATOP_MULT_TRANSPOSE           = 5,
1889   MATOP_MULT_TRANSPOSE_ADD       = 6,
1890   MATOP_SOLVE                    = 7,
1891   MATOP_SOLVE_ADD                = 8,
1892   MATOP_SOLVE_TRANSPOSE          = 9,
1893   MATOP_SOLVE_TRANSPOSE_ADD      = 10,
1894   MATOP_LUFACTOR                 = 11,
1895   MATOP_CHOLESKYFACTOR           = 12,
1896   MATOP_SOR                      = 13,
1897   MATOP_TRANSPOSE                = 14,
1898   MATOP_GETINFO                  = 15,
1899   MATOP_EQUAL                    = 16,
1900   MATOP_GET_DIAGONAL             = 17,
1901   MATOP_DIAGONAL_SCALE           = 18,
1902   MATOP_NORM                     = 19,
1903   MATOP_ASSEMBLY_BEGIN           = 20,
1904   MATOP_ASSEMBLY_END             = 21,
1905   MATOP_SET_OPTION               = 22,
1906   MATOP_ZERO_ENTRIES             = 23,
1907   MATOP_ZERO_ROWS                = 24,
1908   MATOP_LUFACTOR_SYMBOLIC        = 25,
1909   MATOP_LUFACTOR_NUMERIC         = 26,
1910   MATOP_CHOLESKY_FACTOR_SYMBOLIC = 27,
1911   MATOP_CHOLESKY_FACTOR_NUMERIC  = 28,
1912   MATOP_SETUP                    = 29,
1913   MATOP_ILUFACTOR_SYMBOLIC       = 30,
1914   MATOP_ICCFACTOR_SYMBOLIC       = 31,
1915   MATOP_GET_DIAGONAL_BLOCK       = 32,
1916   MATOP_SET_INF                  = 33,
1917   MATOP_DUPLICATE                = 34,
1918   MATOP_FORWARD_SOLVE            = 35,
1919   MATOP_BACKWARD_SOLVE           = 36,
1920   MATOP_ILUFACTOR                = 37,
1921   MATOP_ICCFACTOR                = 38,
1922   MATOP_AXPY                     = 39,
1923   MATOP_CREATE_SUBMATRICES       = 40,
1924   MATOP_INCREASE_OVERLAP         = 41,
1925   MATOP_GET_VALUES               = 42,
1926   MATOP_COPY                     = 43,
1927   MATOP_GET_ROW_MAX              = 44,
1928   MATOP_SCALE                    = 45,
1929   MATOP_SHIFT                    = 46,
1930   MATOP_DIAGONAL_SET             = 47,
1931   MATOP_ZERO_ROWS_COLUMNS        = 48,
1932   MATOP_SET_RANDOM               = 49,
1933   MATOP_GET_ROW_IJ               = 50,
1934   MATOP_RESTORE_ROW_IJ           = 51,
1935   MATOP_GET_COLUMN_IJ            = 52,
1936   MATOP_RESTORE_COLUMN_IJ        = 53,
1937   MATOP_FDCOLORING_CREATE        = 54,
1938   MATOP_COLORING_PATCH           = 55,
1939   MATOP_SET_UNFACTORED           = 56,
1940   MATOP_PERMUTE                  = 57,
1941   MATOP_SET_VALUES_BLOCKED       = 58,
1942   MATOP_CREATE_SUBMATRIX         = 59,
1943   MATOP_DESTROY                  = 60,
1944   MATOP_VIEW                     = 61,
1945   MATOP_CONVERT_FROM             = 62,
1946   /* MATOP_PLACEHOLDER_63=63 */
1947   MATOP_MATMAT_MULT_SYMBOLIC    = 64,
1948   MATOP_MATMAT_MULT_NUMERIC     = 65,
1949   MATOP_SET_LOCAL_TO_GLOBAL_MAP = 66,
1950   MATOP_SET_VALUES_LOCAL        = 67,
1951   MATOP_ZERO_ROWS_LOCAL         = 68,
1952   MATOP_GET_ROW_MAX_ABS         = 69,
1953   MATOP_GET_ROW_MIN_ABS         = 70,
1954   MATOP_CONVERT                 = 71,
1955   MATOP_HAS_OPERATION           = 72,
1956   /* MATOP_PLACEHOLDER_73=73, */
1957   MATOP_SET_VALUES_ADIFOR = 74,
1958   MATOP_FD_COLORING_APPLY = 75,
1959   MATOP_SET_FROM_OPTIONS  = 76,
1960   /* MATOP_PLACEHOLDER_77=77, */
1961   /* MATOP_PLACEHOLDER_78=78, */
1962   MATOP_FIND_ZERO_DIAGONALS       = 79,
1963   MATOP_MULT_MULTIPLE             = 80,
1964   MATOP_SOLVE_MULTIPLE            = 81,
1965   MATOP_GET_INERTIA               = 82,
1966   MATOP_LOAD                      = 83,
1967   MATOP_IS_SYMMETRIC              = 84,
1968   MATOP_IS_HERMITIAN              = 85,
1969   MATOP_IS_STRUCTURALLY_SYMMETRIC = 86,
1970   MATOP_SET_VALUES_BLOCKEDLOCAL   = 87,
1971   MATOP_CREATE_VECS               = 88,
1972   /* MATOP_PLACEHOLDER_89=89, */
1973   MATOP_MAT_MULT_SYMBOLIC = 90,
1974   MATOP_MAT_MULT_NUMERIC  = 91,
1975   /* MATOP_PLACEHOLDER_92=92, */
1976   MATOP_PTAP_SYMBOLIC = 93,
1977   MATOP_PTAP_NUMERIC  = 94,
1978   /* MATOP_PLACEHOLDER_95=95, */
1979   MATOP_MAT_TRANSPOSE_MULT_SYMBO = 96,
1980   MATOP_MAT_TRANSPOSE_MULT_NUMER = 97,
1981   MATOP_BIND_TO_CPU              = 98,
1982   MATOP_PRODUCTSETFROMOPTIONS    = 99,
1983   MATOP_PRODUCTSYMBOLIC          = 100,
1984   MATOP_PRODUCTNUMERIC           = 101,
1985   MATOP_CONJUGATE                = 102,
1986   MATOP_VIEW_NATIVE              = 103,
1987   MATOP_SET_VALUES_ROW           = 104,
1988   MATOP_REAL_PART                = 105,
1989   MATOP_IMAGINARY_PART           = 106,
1990   MATOP_GET_ROW_UPPER_TRIANGULAR = 107,
1991   MATOP_RESTORE_ROW_UPPER_TRIANG = 108,
1992   MATOP_MAT_SOLVE                = 109,
1993   MATOP_MAT_SOLVE_TRANSPOSE      = 110,
1994   MATOP_GET_ROW_MIN              = 111,
1995   MATOP_GET_COLUMN_VECTOR        = 112,
1996   MATOP_MISSING_DIAGONAL         = 113,
1997   MATOP_GET_SEQ_NONZERO_STRUCTUR = 114,
1998   MATOP_CREATE                   = 115,
1999   MATOP_GET_GHOSTS               = 116,
2000   MATOP_GET_LOCAL_SUB_MATRIX     = 117,
2001   MATOP_RESTORE_LOCALSUB_MATRIX  = 118,
2002   MATOP_MULT_DIAGONAL_BLOCK      = 119,
2003   MATOP_HERMITIAN_TRANSPOSE      = 120,
2004   MATOP_MULT_HERMITIAN_TRANSPOSE = 121,
2005   MATOP_MULT_HERMITIAN_TRANS_ADD = 122,
2006   MATOP_GET_MULTI_PROC_BLOCK     = 123,
2007   MATOP_FIND_NONZERO_ROWS        = 124,
2008   MATOP_GET_COLUMN_NORMS         = 125,
2009   MATOP_INVERT_BLOCK_DIAGONAL    = 126,
2010   MATOP_INVERT_VBLOCK_DIAGONAL   = 127,
2011   MATOP_CREATE_SUB_MATRICES_MPI  = 128,
2012   MATOP_SET_VALUES_BATCH         = 129,
2013   /* MATOP_PLACEHOLDER_130=130, */
2014   MATOP_TRANSPOSE_MAT_MULT_SYMBO = 131,
2015   MATOP_TRANSPOSE_MAT_MULT_NUMER = 132,
2016   MATOP_TRANSPOSE_COLORING_CREAT = 133,
2017   MATOP_TRANS_COLORING_APPLY_SPT = 134,
2018   MATOP_TRANS_COLORING_APPLY_DEN = 135,
2019   /* MATOP_PLACEHOLDER_136=136, */
2020   MATOP_RART_SYMBOLIC         = 137,
2021   MATOP_RART_NUMERIC          = 138,
2022   MATOP_SET_BLOCK_SIZES       = 139,
2023   MATOP_AYPX                  = 140,
2024   MATOP_RESIDUAL              = 141,
2025   MATOP_FDCOLORING_SETUP      = 142,
2026   MATOP_FIND_OFFBLOCK_ENTRIES = 143,
2027   MATOP_MPICONCATENATESEQ     = 144,
2028   MATOP_DESTROYSUBMATRICES    = 145,
2029   MATOP_MAT_TRANSPOSE_SOLVE   = 146,
2030   MATOP_GET_VALUES_LOCAL      = 147,
2031   MATOP_CREATE_GRAPH          = 148,
2032   /* MATOP_PLACEHOLDER_149=149, */
2033   MATOP_TRANSPOSE_SYMBOLIC  = 150,
2034   MATOP_ELIMINATE_ZEROS     = 151,
2035   MATOP_GET_ROW_SUM_ABS     = 152,
2036   MATOP_GET_FACTOR          = 153,
2037   MATOP_GET_BLOCK_DIAGONAL  = 154, // NOTE: caller of the two op functions owns the returned matrix
2038   MATOP_GET_VBLOCK_DIAGONAL = 155, // and need to destroy it after use.
2039   MATOP_COPY_HASH_TO_AIJ    = 156
2040 } MatOperation;
2041 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, void (*)(void));
2042 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, void (**)(void));
2043 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
2044 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
2045 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatProductClear()", ) static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
2046 {
2047   return MatProductClear(A);
2048 }
2049 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, void (*)(void));
2050 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, void (**)(void));
2051 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, void *);
2052 PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscCtxDestroyFn *);
2053 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
2054 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2055 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2056 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
2057 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscErrorCode (*)(void *), MatType, MatType);
2058 PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);
2059 
2060 /*
2061    Codes for matrices stored on disk. By default they are
2062    stored in a universal format. By changing the format with
2063    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
2064    be stored in a way natural for the matrix, for example dense matrices
2065    would be stored as dense. Matrices stored this way may only be
2066    read into matrices of the same type.
2067 */
2068 #define MATRIX_BINARY_FORMAT_DENSE -1
2069 
2070 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);
2071 
2072 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
2073 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
2074 PETSC_EXTERN PetscErrorCode MatISSetAllowRepeated(Mat, PetscBool);
2075 PETSC_EXTERN PetscErrorCode MatISGetAllowRepeated(Mat, PetscBool *);
2076 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
2077 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
2078 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
2079 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
2080 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
2081 PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
2082 
2083 /*S
2084    MatNullSpace - Object that removes a null space from a vector, i.e.
2085                   orthogonalizes the vector to a subspace
2086 
2087    Level: advanced
2088 
2089 .seealso: [](ch_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2090 S*/
2091 typedef struct _p_MatNullSpace *MatNullSpace;
2092 
2093 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
2094 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, PetscErrorCode (*)(MatNullSpace, Vec, void *), void *);
2095 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
2096 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
2097 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
2098 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
2099 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
2100 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
2101 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
2102 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
2103 PETSC_EXTERN PetscErrorCode MatGetNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2104 PETSC_EXTERN PetscErrorCode MatRestoreNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2105 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
2106 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
2107 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
2108 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);
2109 
2110 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
2111 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
2112 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);
2113 
2114 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
2115 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
2116 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);
2117 
2118 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
2119 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);
2120 
2121 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperator()", ) static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
2122 {
2123   return MatComputeOperator(A, PETSC_NULLPTR, B);
2124 }
2125 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperatorTranspose()", ) static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
2126 {
2127   return MatComputeOperatorTranspose(A, PETSC_NULLPTR, B);
2128 }
2129 
2130 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
2131 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
2132 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
2133 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2134 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
2135 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
2136 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
2137 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2138 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
2139 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
2140 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
2141 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
2142 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
2143 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);
2144 
2145 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);
2146 
2147 PETSC_EXTERN PetscErrorCode MatMFFDInitializePackage(void);
2148 PETSC_EXTERN PetscErrorCode MatMFFDFinalizePackage(void);
2149 
2150 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2151 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
2152 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, PetscErrorCode (*)(void *, Vec, Vec), void *);
2153 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, PetscErrorCode (*)(void *, PetscInt, Vec, PetscScalar *));
2154 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, PetscErrorCode (*)(void *, Vec));
2155 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
2156 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
2157 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
2158 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
2159 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
2160 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
2161 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
2162 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, PetscErrorCode (*)(void *, Vec, Vec, PetscScalar *), void *);
2163 
2164 /*S
2165     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2166               Jacobian vector products
2167 
2168     Level: developer
2169 
2170     Notes:
2171     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure
2172 
2173      MatMFFD*() methods actually take the `Mat` as their first argument. Not a `MatMFFD` data structure
2174 
2175     This functionality is often obtained using `MatCreateSNESMF()` or with `SNES` solvers using `-snes_mf` or `-snes_mf_operator`
2176 
2177 .seealso: [](ch_matrices), `MatMFFDType`, `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`,
2178           `MatCreateSNESMF()`, `SNES`, `-snes_mf`, `-snes_mf_operator`
2179 S*/
2180 typedef struct _p_MatMFFD *MatMFFD;
2181 
2182 /*J
2183    MatMFFDType - algorithm used to compute the `h` used in computing matrix-vector products via differencing of a function
2184 
2185    Values:
2186 +   `MATMFFD_DS` - an algorithm described by Dennis and Schnabel {cite}`dennis:83`
2187 -   `MATMFFD_WP` - the Walker-Pernice {cite}`pw98` strategy.
2188 
2189    Level: beginner
2190 
2191 .seealso: [](ch_matrices), `MatMFFDSetType()`, `MatMFFDRegister()`, `MatMFFDSetFunction()`, `MatCreateMFFD()`
2192 J*/
2193 typedef const char *MatMFFDType;
2194 #define MATMFFD_DS "ds"
2195 #define MATMFFD_WP "wp"
2196 
2197 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2198 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));
2199 
2200 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2201 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);
2202 
2203 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);
2204 
2205 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2206 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
2207 
2208 #ifdef PETSC_HAVE_H2OPUS
2209 PETSC_EXTERN_TYPEDEF typedef PetscScalar(MatH2OpusKernelFn)(PetscInt, PetscReal[], PetscReal[], void *);
2210 PETSC_EXTERN_TYPEDEF typedef MatH2OpusKernelFn *MatH2OpusKernel;
2211 
2212 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernelFn *, void *, PetscReal, PetscInt, PetscInt, Mat *);
2213 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2214 PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2215 PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
2216 PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat, PetscReal);
2217 PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat, PetscBool);
2218 PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat, PetscBool *);
2219 PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat, IS *);
2220 PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2221 PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2222 #endif
2223 
2224 #ifdef PETSC_HAVE_HTOOL
2225 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(MatHtoolKernelFn)(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2226 PETSC_EXTERN_TYPEDEF typedef MatHtoolKernelFn *MatHtoolKernel;
2227 
2228 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernelFn *, void *, Mat *);
2229 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat, MatHtoolKernelFn *, void *);
2230 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat, IS *);
2231 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat, IS *);
2232 PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat, PetscBool);
2233 
2234 /*E
2235    MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`
2236 
2237    Values:
2238 +  `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2239 .  `MAT_HTOOL_COMPRESSOR_FULL_ACA`                 - full adaptive cross approximation
2240 -  `MAT_HTOOL_COMPRESSOR_SVD`                      - singular value decomposition
2241 
2242    Level: intermediate
2243 
2244 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2245 E*/
2246 typedef enum {
2247   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2248   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2249   MAT_HTOOL_COMPRESSOR_SVD
2250 } MatHtoolCompressorType;
2251 
2252 /*E
2253    MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`
2254 
2255    Values:
2256 +  `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default)    - axis computed via principle component analysis, split uniformly
2257 .  `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC`            - axis computed via principle component analysis, split barycentrically
2258 .  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR`   - axis along the largest extent of the bounding box, split uniformly
2259 -  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically
2260 
2261    Level: intermediate
2262 
2263    Note:
2264    Higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
2265 
2266 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2267 E*/
2268 typedef enum {
2269   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2270   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2271   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2272   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2273 } MatHtoolClusteringType;
2274 #endif
2275 
2276 #ifdef PETSC_HAVE_MUMPS
2277 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2278 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2279 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2280 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);
2281 
2282 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2283 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2284 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2285 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2286 PETSC_EXTERN PetscErrorCode MatMumpsGetNullPivots(Mat, PetscInt *, PetscInt **);
2287 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2288 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2289 #endif
2290 
2291 #ifdef PETSC_HAVE_MKL_PARDISO
2292 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2293 #endif
2294 
2295 #ifdef PETSC_HAVE_MKL_CPARDISO
2296 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2297 #endif
2298 
2299 #ifdef PETSC_HAVE_SUPERLU
2300 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2301 #endif
2302 
2303 #ifdef PETSC_HAVE_SUPERLU_DIST
2304 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2305 #endif
2306 
2307 #ifdef PETSC_HAVE_STRUMPACK
2308 /*E
2309     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `MATSOLVERSTRUMPACK`
2310 
2311     Values:
2312 +  `MAT_STRUMPACK_NATURAL`   - use the current ordering
2313 .  `MAT_STRUMPACK_METIS`     - use MeTis to compute an ordering
2314 .  `MAT_STRUMPACK_PARMETIS`  - use ParMeTis to compute an ordering
2315 .  `MAT_STRUMPACK_SCOTCH`    - use Scotch to compute an ordering
2316 .  `MAT_STRUMPACK_PTSCOTCH`  - use parallel Scotch to compute an ordering
2317 .  `MAT_STRUMPACK_RCM`       - use an RCM ordering
2318 .  `MAT_STRUMPACK_GEOMETRIC` - use a geometric ordering (needs mesh info from user)
2319 .  `MAT_STRUMPACK_AMD`       - approximate minimum degree
2320 .  `MAT_STRUMPACK_MMD`       - multiple minimum degree
2321 .  `MAT_STRUMPACK_AND`       - approximate nested dissection
2322 .  `MAT_STRUMPACK_MLF`       - minimum local fill
2323 -  `MAT_STRUMPACK_SPECTRAL`  - spectral nested dissection
2324 
2325     Level: intermediate
2326 
2327     Developer Note:
2328     Should be called `MatSTRUMPACKReorderingType`
2329 
2330 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetReordering()`
2331 E*/
2332 typedef enum {
2333   MAT_STRUMPACK_NATURAL,
2334   MAT_STRUMPACK_METIS,
2335   MAT_STRUMPACK_PARMETIS,
2336   MAT_STRUMPACK_SCOTCH,
2337   MAT_STRUMPACK_PTSCOTCH,
2338   MAT_STRUMPACK_RCM,
2339   MAT_STRUMPACK_GEOMETRIC,
2340   MAT_STRUMPACK_AMD,
2341   MAT_STRUMPACK_MMD,
2342   MAT_STRUMPACK_AND,
2343   MAT_STRUMPACK_MLF,
2344   MAT_STRUMPACK_SPECTRAL
2345 } MatSTRUMPACKReordering;
2346 
2347 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2348 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetReordering(Mat, MatSTRUMPACKReordering *);
2349 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricNxyz(Mat, PetscInt, PetscInt, PetscInt);
2350 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricComponents(Mat, PetscInt);
2351 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricWidth(Mat, PetscInt);
2352 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2353 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetColPerm(Mat, PetscBool *);
2354 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGPU(Mat, PetscBool);
2355 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetGPU(Mat, PetscBool *);
2356 
2357 /*E
2358     MatSTRUMPACKCompressionType - Compression used in the approximate sparse factorization solver `MATSOLVERSTRUMPACK`
2359 
2360     Values:
2361 +  `MAT_STRUMPACK_COMPRESSION_TYPE_NONE`          - no compression, direct solver
2362 .  `MAT_STRUMPACK_COMPRESSION_TYPE_HSS`           - hierarchically semi-separable
2363 .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR`           - block low rank
2364 .  `MAT_STRUMPACK_COMPRESSION_TYPE_HODLR`         - hierarchically off-diagonal low rank (requires ButterfyPACK support, configure with --download-butterflypack)
2365 .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR`     - hybrid of BLR and HODLR (requires ButterfyPACK support, configure with --download-butterflypack)
2366 .  `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)
2367 .  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS`      - lossless compression (requires ZFP support, configure with --download-zfp)
2368 -  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY`         - lossy compression (requires ZFP support, configure with --download-zfp)
2369 
2370     Level: intermediate
2371 
2372 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetCompression()`
2373 E*/
2374 typedef enum {
2375   MAT_STRUMPACK_COMPRESSION_TYPE_NONE,
2376   MAT_STRUMPACK_COMPRESSION_TYPE_HSS,
2377   MAT_STRUMPACK_COMPRESSION_TYPE_BLR,
2378   MAT_STRUMPACK_COMPRESSION_TYPE_HODLR,
2379   MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR,
2380   MAT_STRUMPACK_COMPRESSION_TYPE_ZFP_BLR_HODLR,
2381   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS,
2382   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY
2383 } MatSTRUMPACKCompressionType;
2384 
2385 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompression(Mat, MatSTRUMPACKCompressionType);
2386 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompression(Mat, MatSTRUMPACKCompressionType *);
2387 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompRelTol(Mat, PetscReal);
2388 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompRelTol(Mat, PetscReal *);
2389 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompAbsTol(Mat, PetscReal);
2390 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompAbsTol(Mat, PetscReal *);
2391 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompMinSepSize(Mat, PetscInt);
2392 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompMinSepSize(Mat, PetscInt *);
2393 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLeafSize(Mat, PetscInt);
2394 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLeafSize(Mat, PetscInt *);
2395 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLossyPrecision(Mat, PetscInt);
2396 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLossyPrecision(Mat, PetscInt *);
2397 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompButterflyLevels(Mat, PetscInt);
2398 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompButterflyLevels(Mat, PetscInt *);
2399 #endif
2400 
2401 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2402 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2403 PETSC_DEPRECATED_FUNCTION(3, 13, 0, "MatBindToCPU()", ) static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2404 {
2405   return MatBindToCPU(A, flg);
2406 }
2407 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2408 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);
2409 
2410 #ifdef PETSC_HAVE_CUDA
2411 /*E
2412     MatCUSPARSEStorageFormat - indicates the storage format for `MATAIJCUSPARSE` (GPU)
2413     matrices.
2414 
2415     Values:
2416 +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2417 .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2418 -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2419 
2420     Level: intermediate
2421 
2422 .seealso: [](ch_matrices), `MATAIJCUSPARSE`, `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2423 E*/
2424 
2425 typedef enum {
2426   MAT_CUSPARSE_CSR,
2427   MAT_CUSPARSE_ELL,
2428   MAT_CUSPARSE_HYB
2429 } MatCUSPARSEStorageFormat;
2430 
2431 /* these will be strings associated with enumerated type defined above */
2432 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2433 
2434 /*E
2435     MatCUSPARSEFormatOperation - indicates the operation of `MATAIJCUSPARSE` (GPU)
2436     matrices whose operation should use a particular storage format.
2437 
2438     Values:
2439 +   `MAT_CUSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2440 .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2441 .   `MAT_CUSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2442 -   `MAT_CUSPARSE_ALL`          - sets the storage format for all `MATAIJCUSPARSE` (GPU) matrices
2443 
2444     Level: intermediate
2445 
2446 .seealso: [](ch_matrices), `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2447 E*/
2448 typedef enum {
2449   MAT_CUSPARSE_MULT_DIAG,
2450   MAT_CUSPARSE_MULT_OFFDIAG,
2451   MAT_CUSPARSE_MULT,
2452   MAT_CUSPARSE_ALL
2453 } MatCUSPARSEFormatOperation;
2454 
2455 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2456 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2457 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2458 PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2459 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2460 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2461 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2462 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2463 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2464 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2465 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2466 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);
2467 
2468 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2469 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2470 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2471 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2472 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2473 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2474 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2475 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2476 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2477 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2478 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2479 PETSC_EXTERN PetscErrorCode MatDenseCUDASetPreallocation(Mat, PetscScalar *);
2480 
2481 PETSC_EXTERN PetscErrorCode MatCreateSeqSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2482 PETSC_EXTERN PetscErrorCode MatCreateSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2483 #endif
2484 
2485 #ifdef PETSC_HAVE_HIP
2486 /*E
2487     MatHIPSPARSEStorageFormat - indicates the storage format for `MATAIJHIPSPARSE` (GPU)
2488     matrices.
2489 
2490     Values:
2491 +   `MAT_HIPSPARSE_CSR` - Compressed Sparse Row
2492 .   `MAT_HIPSPARSE_ELL` - Ellpack
2493 -   `MAT_HIPSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format
2494 
2495     Level: intermediate
2496 
2497 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
2498 E*/
2499 
2500 typedef enum {
2501   MAT_HIPSPARSE_CSR,
2502   MAT_HIPSPARSE_ELL,
2503   MAT_HIPSPARSE_HYB
2504 } MatHIPSPARSEStorageFormat;
2505 
2506 /* these will be strings associated with enumerated type defined above */
2507 PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];
2508 
2509 /*E
2510     MatHIPSPARSEFormatOperation - indicates the operation of `MATAIJHIPSPARSE` (GPU)
2511     matrices whose operation should use a particular storage format.
2512 
2513     Values:
2514 +   `MAT_HIPSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2515 .   `MAT_HIPSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2516 .   `MAT_HIPSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2517 -   `MAT_HIPSPARSE_ALL`          - sets the storage format for all HIPSPARSE (GPU) matrices
2518 
2519     Level: intermediate
2520 
2521 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
2522 E*/
2523 typedef enum {
2524   MAT_HIPSPARSE_MULT_DIAG,
2525   MAT_HIPSPARSE_MULT_OFFDIAG,
2526   MAT_HIPSPARSE_MULT,
2527   MAT_HIPSPARSE_ALL
2528 } MatHIPSPARSEFormatOperation;
2529 
2530 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2531 PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2532 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
2533 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
2534 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2535 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2536 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
2537 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
2538 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
2539 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
2540 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
2541 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);
2542 
2543 PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2544 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2545 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
2546 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
2547 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
2548 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
2549 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
2550 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
2551 PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
2552 PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
2553 PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);
2554 PETSC_EXTERN PetscErrorCode MatDenseHIPSetPreallocation(Mat, PetscScalar *);
2555 PETSC_EXTERN PetscErrorCode MatCreateSeqSELLHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2556 PETSC_EXTERN PetscErrorCode MatCreateSELLHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2557 #endif
2558 
2559 #if defined(PETSC_HAVE_VIENNACL)
2560 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2561 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2562 #endif
2563 
2564 #if PetscDefined(HAVE_KOKKOS)
2565 PETSC_EXTERN PetscErrorCode MatCreateAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2566 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2567 #endif
2568 
2569 #if defined(PETSC_HAVE_FFTW)
2570 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2571 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2572 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2573 #endif
2574 
2575 #if defined(PETSC_HAVE_SCALAPACK)
2576 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2577 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2578 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2579 #endif
2580 
2581 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2582 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2583 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2584 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2585 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2586 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2587 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2588 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2589 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);
2590 
2591 PETSC_EXTERN PetscErrorCode MatFilter(Mat, PetscReal, PetscBool, PetscBool);
2592 PETSC_DEPRECATED_FUNCTION(3, 20, 0, "MatFilter()", ) static inline PetscErrorCode MatChop(Mat A, PetscReal tol)
2593 {
2594   return MatFilter(A, tol, PETSC_FALSE, PETSC_FALSE);
2595 }
2596 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);
2597 
2598 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);
2599 
2600 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);
2601 
2602 PETSC_EXTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2603 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);
2604 
2605 PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);
2606 
2607 PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, PetscInt, PetscInt[], Mat *);
2608 PETSC_EXTERN PetscErrorCode MatEliminateZeros(Mat, PetscBool);
2609 
2610 PETSC_EXTERN PetscErrorCode MatCreateDenseFromVecType(MPI_Comm, VecType, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar *, Mat *);
2611 
2612 PETSC_EXTERN PetscErrorCode MatSetHPL(Mat, int);
2613 #define PETSCBMHPL "hpl"
2614