xref: /petsc/include/petscmat.h (revision 6166d6f784f339743ac35f4ea174abbb43bebbcd)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #pragma once
5 
6 #include <petscvec.h>
7 
8 /* SUBMANSEC = Mat */
9 
10 /*S
11    Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
12          an explicit sparse representation (such as matrix-free operators). Also used to hold representations of graphs
13          for graph operations such as coloring, `MatColoringCreate()`
14 
15    Level: beginner
16 
17    Note:
18    See [](doc_matrix), [](ch_matrices) and `MatType` for available matrix types
19 
20 .seealso: [](doc_matrix), [](ch_matrices), `MatCreate()`, `MatType`, `MatSetType()`, `MatDestroy()`
21 S*/
22 typedef struct _p_Mat *Mat;
23 
24 /*J
25    MatType - String with the name of a PETSc matrix type
26 
27    Level: beginner
28 
29    Note:
30    [](doc_matrix) for a table of available matrix types
31 
32 .seealso: [](doc_matrix), [](ch_matrices), `MatSetType()`, `Mat`, `MatSolverType`, `MatRegister()`
33 J*/
34 typedef const char *MatType;
35 #define MATSAME                      "same"
36 #define MATMAIJ                      "maij"
37 #define MATSEQMAIJ                   "seqmaij"
38 #define MATMPIMAIJ                   "mpimaij"
39 #define MATKAIJ                      "kaij"
40 #define MATSEQKAIJ                   "seqkaij"
41 #define MATMPIKAIJ                   "mpikaij"
42 #define MATIS                        "is"
43 #define MATAIJ                       "aij"
44 #define MATSEQAIJ                    "seqaij"
45 #define MATMPIAIJ                    "mpiaij"
46 #define MATAIJCRL                    "aijcrl"
47 #define MATSEQAIJCRL                 "seqaijcrl"
48 #define MATMPIAIJCRL                 "mpiaijcrl"
49 #define MATAIJCUSPARSE               "aijcusparse"
50 #define MATSEQAIJCUSPARSE            "seqaijcusparse"
51 #define MATMPIAIJCUSPARSE            "mpiaijcusparse"
52 #define MATAIJHIPSPARSE              "aijhipsparse"
53 #define MATSEQAIJHIPSPARSE           "seqaijhipsparse"
54 #define MATMPIAIJHIPSPARSE           "mpiaijhipsparse"
55 #define MATAIJKOKKOS                 "aijkokkos"
56 #define MATSEQAIJKOKKOS              "seqaijkokkos"
57 #define MATMPIAIJKOKKOS              "mpiaijkokkos"
58 #define MATAIJVIENNACL               "aijviennacl"
59 #define MATSEQAIJVIENNACL            "seqaijviennacl"
60 #define MATMPIAIJVIENNACL            "mpiaijviennacl"
61 #define MATAIJPERM                   "aijperm"
62 #define MATSEQAIJPERM                "seqaijperm"
63 #define MATMPIAIJPERM                "mpiaijperm"
64 #define MATAIJSELL                   "aijsell"
65 #define MATSEQAIJSELL                "seqaijsell"
66 #define MATMPIAIJSELL                "mpiaijsell"
67 #define MATAIJMKL                    "aijmkl"
68 #define MATSEQAIJMKL                 "seqaijmkl"
69 #define MATMPIAIJMKL                 "mpiaijmkl"
70 #define MATBAIJMKL                   "baijmkl"
71 #define MATSEQBAIJMKL                "seqbaijmkl"
72 #define MATMPIBAIJMKL                "mpibaijmkl"
73 #define MATSHELL                     "shell"
74 #define MATCENTERING                 "centering"
75 #define MATDENSE                     "dense"
76 #define MATDENSECUDA                 "densecuda"
77 #define MATDENSEHIP                  "densehip"
78 #define MATSEQDENSE                  "seqdense"
79 #define MATSEQDENSECUDA              "seqdensecuda"
80 #define MATSEQDENSEHIP               "seqdensehip"
81 #define MATMPIDENSE                  "mpidense"
82 #define MATMPIDENSECUDA              "mpidensecuda"
83 #define MATMPIDENSEHIP               "mpidensehip"
84 #define MATELEMENTAL                 "elemental"
85 #define MATSCALAPACK                 "scalapack"
86 #define MATBAIJ                      "baij"
87 #define MATSEQBAIJ                   "seqbaij"
88 #define MATMPIBAIJ                   "mpibaij"
89 #define MATMPIADJ                    "mpiadj"
90 #define MATSBAIJ                     "sbaij"
91 #define MATSEQSBAIJ                  "seqsbaij"
92 #define MATMPISBAIJ                  "mpisbaij"
93 #define MATMFFD                      "mffd"
94 #define MATNORMAL                    "normal"
95 #define MATNORMALHERMITIAN           "normalh"
96 #define MATLRC                       "lrc"
97 #define MATSCATTER                   "scatter"
98 #define MATBLOCKMAT                  "blockmat"
99 #define MATCOMPOSITE                 "composite"
100 #define MATFFT                       "fft"
101 #define MATFFTW                      "fftw"
102 #define MATSEQCUFFT                  "seqcufft"
103 #define MATSEQHIPFFT                 "seqhipfft"
104 #define MATTRANSPOSEMAT              PETSC_DEPRECATED_MACRO(3, 18, 0, "MATTRANSPOSEVIRTUAL", ) "transpose"
105 #define MATTRANSPOSEVIRTUAL          "transpose"
106 #define MATHERMITIANTRANSPOSEVIRTUAL "hermitiantranspose"
107 #define MATSCHURCOMPLEMENT           "schurcomplement"
108 #define MATPYTHON                    "python"
109 #define MATHYPRE                     "hypre"
110 #define MATHYPRESTRUCT               "hyprestruct"
111 #define MATHYPRESSTRUCT              "hypresstruct"
112 #define MATSUBMATRIX                 "submatrix"
113 #define MATLOCALREF                  "localref"
114 #define MATNEST                      "nest"
115 #define MATPREALLOCATOR              "preallocator"
116 #define MATSELL                      "sell"
117 #define MATSEQSELL                   "seqsell"
118 #define MATMPISELL                   "mpisell"
119 #define MATSELLCUDA                  "sellcuda"
120 #define MATSEQSELLCUDA               "seqsellcuda"
121 #define MATMPISELLCUDA               "mpisellcuda"
122 #define MATSELLHIP                   "sellhip"
123 #define MATSEQSELLHIP                "seqsellhip"
124 #define MATMPISELLHIP                "mpisellhip"
125 #define MATDUMMY                     "dummy"
126 #define MATLMVM                      "lmvm"
127 #define MATLMVMDFP                   "lmvmdfp"
128 #define MATLMVMDDFP                  "lmvmddfp"
129 #define MATLMVMBFGS                  "lmvmbfgs"
130 #define MATLMVMDBFGS                 "lmvmdbfgs"
131 #define MATLMVMDQN                   "lmvmdqn"
132 #define MATLMVMSR1                   "lmvmsr1"
133 #define MATLMVMBROYDEN               "lmvmbroyden"
134 #define MATLMVMBADBROYDEN            "lmvmbadbroyden"
135 #define MATLMVMSYMBROYDEN            "lmvmsymbroyden"
136 #define MATLMVMSYMBADBROYDEN         "lmvmsymbadbroyden"
137 #define MATLMVMDIAGBROYDEN           "lmvmdiagbroyden"
138 #define MATCONSTANTDIAGONAL          "constantdiagonal"
139 #define MATDIAGONAL                  "diagonal"
140 #define MATHTOOL                     "htool"
141 #define MATH2OPUS                    "h2opus"
142 
143 /*J
144    MatSolverType - String with the name of a PETSc factorization-based matrix solver type.
145 
146    For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
147 
148    Level: beginner
149 
150    Note:
151    `MATSOLVERUMFPACK`, `MATSOLVERCHOLMOD`, `MATSOLVERKLU`, `MATSOLVERSPQR` form the SuiteSparse package; you can use `--download-suitesparse` as
152    a ./configure option to install them
153 
154 .seealso: [](sec_matfactor), [](ch_matrices), `MatGetFactor()`, `PCFactorSetMatSolverType()`, `PCFactorGetMatSolverType()`
155 J*/
156 typedef const char *MatSolverType;
157 #define MATSOLVERSUPERLU      "superlu"
158 #define MATSOLVERSUPERLU_DIST "superlu_dist"
159 #define MATSOLVERSTRUMPACK    "strumpack"
160 #define MATSOLVERUMFPACK      "umfpack"
161 #define MATSOLVERCHOLMOD      "cholmod"
162 #define MATSOLVERKLU          "klu"
163 #define MATSOLVERELEMENTAL    "elemental"
164 #define MATSOLVERSCALAPACK    "scalapack"
165 #define MATSOLVERESSL         "essl"
166 #define MATSOLVERLUSOL        "lusol"
167 #define MATSOLVERMUMPS        "mumps"
168 #define MATSOLVERMKL_PARDISO  "mkl_pardiso"
169 #define MATSOLVERMKL_CPARDISO "mkl_cpardiso"
170 #define MATSOLVERPASTIX       "pastix"
171 #define MATSOLVERMATLAB       "matlab"
172 #define MATSOLVERPETSC        "petsc"
173 #define MATSOLVERBAS          "bas"
174 #define MATSOLVERCUSPARSE     "cusparse"
175 #define MATSOLVERCUDA         "cuda"
176 #define MATSOLVERHIPSPARSE    "hipsparse"
177 #define MATSOLVERHIP          "hip"
178 #define MATSOLVERKOKKOS       "kokkos"
179 #define MATSOLVERSPQR         "spqr"
180 
181 /*E
182     MatFactorType - indicates what type of factorization is requested
183 
184     Values:
185 +  `MAT_FACTOR_LU`       - LU factorization
186 .  `MAT_FACTOR_CHOLESKY` - Cholesky factorization
187 .  `MAT_FACTOR_ILU`      - ILU factorization
188 .  `MAT_FACTOR_ICC`      - incomplete Cholesky factorization
189 .  `MAT_FACTOR_ILUDT`    - ILU factorization with drop tolerance
190 -  `MAT_FACTOR_QR`       - QR factorization
191 
192     Level: beginner
193 
194 .seealso: [](ch_matrices), `MatSolverType`, `MatGetFactor()`, `MatGetFactorAvailable()`, `MatSolverTypeRegister()`
195 E*/
196 typedef enum {
197   MAT_FACTOR_NONE,
198   MAT_FACTOR_LU,
199   MAT_FACTOR_CHOLESKY,
200   MAT_FACTOR_ILU,
201   MAT_FACTOR_ICC,
202   MAT_FACTOR_ILUDT,
203   MAT_FACTOR_QR,
204   MAT_FACTOR_NUM_TYPES
205 } MatFactorType;
206 PETSC_EXTERN const char *const MatFactorTypes[];
207 
208 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat, MatSolverType, MatFactorType, Mat *);
209 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat, MatSolverType, MatFactorType, PetscBool *);
210 PETSC_EXTERN PetscErrorCode MatFactorGetCanUseOrdering(Mat, PetscBool *);
211 PETSC_DEPRECATED_FUNCTION(3, 15, 0, "MatFactorGetCanUseOrdering()", ) static inline PetscErrorCode MatFactorGetUseOrdering(Mat A, PetscBool *b)
212 {
213   return MatFactorGetCanUseOrdering(A, b);
214 }
215 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat, MatSolverType *);
216 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat, MatFactorType *);
217 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat, MatFactorType);
218 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(MatSolverFn)(Mat, MatFactorType, Mat *);
219 PETSC_EXTERN_TYPEDEF typedef MatSolverFn *MatSolverFunction;
220 
221 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType, MatType, MatFactorType, MatSolverFn *);
222 PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType, MatType, MatFactorType, PetscBool *, PetscBool *, MatSolverFn **);
223 typedef MatSolverType       MatSolverPackage PETSC_DEPRECATED_TYPEDEF(3, 9, 0, "MatSolverType", );
224 PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSolverTypeRegister()", ) static inline PetscErrorCode MatSolverPackageRegister(MatSolverType stype, MatType mtype, MatFactorType ftype, MatSolverFn *f)
225 {
226   return MatSolverTypeRegister(stype, mtype, ftype, f);
227 }
228 PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSolverTypeGet()", ) static inline PetscErrorCode MatSolverPackageGet(MatSolverType stype, MatType mtype, MatFactorType ftype, PetscBool *foundmtype, PetscBool *foundstype, MatSolverFn **f)
229 {
230   return MatSolverTypeGet(stype, mtype, ftype, foundmtype, foundstype, f);
231 }
232 
233 /*E
234     MatProductType - indicates what type of matrix product to compute
235 
236     Values:
237 +  `MATPRODUCT_AB`   - product of two matrices
238 .  `MATPRODUCT_AtB`  - product of the transpose of a given matrix with a matrix
239 .  `MATPRODUCT_ABt`  - product of a matrix with the transpose of another given matrix
240 .  `MATPRODUCT_PtAP` - the triple product of the transpose of a matrix with another matrix and itself
241 .  `MATPRODUCT_RARt` - the triple product of a matrix, another matrix and the transpose of the first matrix
242 -  `MATPRODUCT_ABC`  - the product of three matrices
243 
244     Level: beginner
245 
246 .seealso: [](sec_matmatproduct), [](ch_matrices), `MatProductSetType()`
247 E*/
248 typedef enum {
249   MATPRODUCT_UNSPECIFIED = 0,
250   MATPRODUCT_AB,
251   MATPRODUCT_AtB,
252   MATPRODUCT_ABt,
253   MATPRODUCT_PtAP,
254   MATPRODUCT_RARt,
255   MATPRODUCT_ABC
256 } MatProductType;
257 PETSC_EXTERN const char *const MatProductTypes[];
258 
259 /*J
260     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
261 
262    Level: beginner
263 
264 .seealso: [](sec_matmatproduct), [](ch_matrices), `MatSetType()`, `Mat`, `MatProductSetAlgorithm()`, `MatProductType`
265 J*/
266 typedef const char *MatProductAlgorithm;
267 #define MATPRODUCTALGORITHMDEFAULT         "default"
268 #define MATPRODUCTALGORITHMSORTED          "sorted"
269 #define MATPRODUCTALGORITHMSCALABLE        "scalable"
270 #define MATPRODUCTALGORITHMSCALABLEFAST    "scalable_fast"
271 #define MATPRODUCTALGORITHMHEAP            "heap"
272 #define MATPRODUCTALGORITHMBHEAP           "btheap"
273 #define MATPRODUCTALGORITHMLLCONDENSED     "llcondensed"
274 #define MATPRODUCTALGORITHMROWMERGE        "rowmerge"
275 #define MATPRODUCTALGORITHMOUTERPRODUCT    "outerproduct"
276 #define MATPRODUCTALGORITHMATB             "at*b"
277 #define MATPRODUCTALGORITHMRAP             "rap"
278 #define MATPRODUCTALGORITHMNONSCALABLE     "nonscalable"
279 #define MATPRODUCTALGORITHMSEQMPI          "seqmpi"
280 #define MATPRODUCTALGORITHMBACKEND         "backend"
281 #define MATPRODUCTALGORITHMOVERLAPPING     "overlapping"
282 #define MATPRODUCTALGORITHMMERGED          "merged"
283 #define MATPRODUCTALGORITHMALLATONCE       "allatonce"
284 #define MATPRODUCTALGORITHMALLATONCEMERGED "allatonce_merged"
285 #define MATPRODUCTALGORITHMALLGATHERV      "allgatherv"
286 #define MATPRODUCTALGORITHMCYCLIC          "cyclic"
287 #if defined(PETSC_HAVE_HYPRE)
288   #define MATPRODUCTALGORITHMHYPRE "hypre"
289 #endif
290 
291 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat, Mat, Mat, Mat *);
292 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat, Mat, Mat, Mat);
293 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat, MatProductType);
294 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat, MatProductAlgorithm);
295 PETSC_EXTERN PetscErrorCode MatProductGetAlgorithm(Mat, MatProductAlgorithm *);
296 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat, PetscReal);
297 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
298 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
299 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
300 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat, Mat, Mat, Mat);
301 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
302 PETSC_EXTERN PetscErrorCode MatProductView(Mat, PetscViewer);
303 PETSC_EXTERN PetscErrorCode MatProductGetType(Mat, MatProductType *);
304 PETSC_EXTERN PetscErrorCode MatProductGetMats(Mat, Mat *, Mat *, Mat *);
305 
306 /* Logging support */
307 #define MAT_FILE_CLASSID 1211216 /* used to indicate matrices in binary files */
308 PETSC_EXTERN PetscClassId MAT_CLASSID;
309 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
310 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
311 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
312 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
313 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
314 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
315 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
316 
317 /*E
318    MatReuse - Indicates if matrices obtained from a previous call to `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatConvert()` or several other functions
319    are to be reused to store the new matrix values.
320 
321    Values:
322 +  `MAT_INITIAL_MATRIX` - create a new matrix
323 .  `MAT_REUSE_MATRIX`   - reuse the matrix created with a previous call that used `MAT_INITIAL_MATRIX`
324 .  `MAT_INPLACE_MATRIX` - replace the first input matrix with the new matrix (not applicable to all functions)
325 -  `MAT_IGNORE_MATRIX`  - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
326 
327     Level: beginner
328 
329 .seealso: [](ch_matrices), `Mat`, `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatDestroyMatrices()`, `MatConvert()`
330 E*/
331 typedef enum {
332   MAT_INITIAL_MATRIX,
333   MAT_REUSE_MATRIX,
334   MAT_IGNORE_MATRIX,
335   MAT_INPLACE_MATRIX
336 } MatReuse;
337 
338 /*E
339     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to `MatCreateSubMatrices()`
340     include the matrix values. Currently it is only used by `MatGetSeqNonzeroStructure()`.
341 
342     Values:
343 +  `MAT_DO_NOT_GET_VALUES` - do not copy the matrix values
344 -  `MAT_GET_VALUES`        - copy the matrix values
345 
346     Level: developer
347 
348     Developer Note:
349     Why is not just a boolean used for this information?
350 
351 .seealso: [](ch_matrices), `Mat`, `MatDuplicateOption`, `PetscCopyMode`, `MatGetSeqNonzeroStructure()`
352 E*/
353 typedef enum {
354   MAT_DO_NOT_GET_VALUES,
355   MAT_GET_VALUES
356 } MatCreateSubMatrixOption;
357 
358 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
359 PETSC_EXTERN PetscErrorCode MatFinalizePackage(void);
360 
361 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm, Mat *);
362 PETSC_EXTERN PetscErrorCode MatCreateFromOptions(MPI_Comm, const char *, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
363 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat, PetscInt, PetscInt, PetscInt, PetscInt);
364 PETSC_EXTERN PetscErrorCode MatSetType(Mat, MatType);
365 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat, VecType *);
366 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat, VecType);
367 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
368 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat, PetscObject, const char[]);
369 PETSC_EXTERN PetscErrorCode MatRegister(const char[], PetscErrorCode (*)(Mat));
370 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[], const char[], const char[]);
371 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat, const char[]);
372 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefixFactor(Mat, const char[]);
373 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefixFactor(Mat, const char[]);
374 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat, const char[]);
375 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat, const char *[]);
376 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat, PetscBool);
377 
378 PETSC_EXTERN PetscFunctionList MatList;
379 PETSC_EXTERN PetscFunctionList MatColoringList;
380 PETSC_EXTERN PetscFunctionList MatPartitioningList;
381 
382 /*E
383    MatStructure - Indicates if two matrices have the same nonzero structure
384 
385    Values:
386 +  `SAME_NONZERO_PATTERN`      - the two matrices have identical nonzero patterns
387 .  `DIFFERENT_NONZERO_PATTERN` - the two matrices may have different nonzero patterns
388 .  `SUBSET_NONZERO_PATTERN`    - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
389 -  `UNKNOWN_NONZERO_PATTERN`   - there is no known relationship between the nonzero patterns. In this case the implementations
390                                  may try to detect a relationship to optimize the operation
391 
392    Level: beginner
393 
394    Note:
395    Certain matrix operations (such as `MatAXPY()`) can run much faster if the sparsity pattern of the matrices are the same. But actually determining if
396    the patterns are the same may be costly. This provides a way for users who know something about the sparsity patterns to provide this information
397    to certain PETSc routines.
398 
399 .seealso: [](ch_matrices), `Mat`, `MatCopy()`, `MatAXPY()`, `MatAYPX()`
400 E*/
401 typedef enum {
402   DIFFERENT_NONZERO_PATTERN,
403   SUBSET_NONZERO_PATTERN,
404   SAME_NONZERO_PATTERN,
405   UNKNOWN_NONZERO_PATTERN
406 } MatStructure;
407 PETSC_EXTERN const char *const MatStructures[];
408 
409 #if defined PETSC_HAVE_MKL_SPARSE
410 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
411 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
412 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
413 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
414 #endif
415 
416 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJPERM(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
417 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJPERM(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
418 
419 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
420 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
421 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat, PetscInt, const PetscInt[]);
422 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
423 PETSC_EXTERN PetscErrorCode MatSeqSELLGetFillRatio(Mat, PetscReal *);
424 PETSC_EXTERN PetscErrorCode MatSeqSELLGetMaxSliceWidth(Mat, PetscInt *);
425 PETSC_EXTERN PetscErrorCode MatSeqSELLGetAvgSliceWidth(Mat, PetscReal *);
426 PETSC_EXTERN PetscErrorCode MatSeqSELLSetSliceHeight(Mat, PetscInt);
427 PETSC_EXTERN PetscErrorCode MatSeqSELLGetVarSliceSize(Mat, PetscReal *);
428 
429 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
430 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
431 PETSC_EXTERN PetscErrorCode MatMPISELLGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
432 PETSC_EXTERN PetscErrorCode MatMPISELLGetSeqSELL(Mat, Mat *, Mat *, const PetscInt *[]);
433 
434 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
435 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
436 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
437 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
438 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
439 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
440 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArray(Mat, const PetscScalar[]);
441 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], PetscInt[], PetscInt[], PetscScalar[], Mat *);
442 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm, Mat, Mat, const PetscInt[], Mat *);
443 
444 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
445 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
446 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
447 
448 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat, PetscCount, PetscInt[], PetscInt[]);
449 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat, PetscCount, PetscInt[], PetscInt[]);
450 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat, const PetscScalar[], InsertMode);
451 
452 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscInt[], Mat *);
453 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
454 
455 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
456 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
457 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
458 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
459 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], const PetscInt[]);
460 
461 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, void *, Mat *);
462 PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm, PetscInt, PetscInt, Mat *);
463 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat, Mat *);
464 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat, Mat *);
465 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat, Mat, Vec, Mat, Mat *);
466 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat, Mat *, Mat *, Vec *, Mat *);
467 PETSC_EXTERN PetscErrorCode MatLRCSetMats(Mat, Mat, Mat, Vec, Mat);
468 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, ISLocalToGlobalMapping, ISLocalToGlobalMapping, Mat *);
469 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
470 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
471 
472 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm, VecScatter, Mat *);
473 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat, VecScatter);
474 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat, VecScatter *);
475 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt *, Mat *);
476 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat, Mat);
477 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
478 typedef enum {
479   MAT_COMPOSITE_MERGE_RIGHT,
480   MAT_COMPOSITE_MERGE_LEFT
481 } MatCompositeMergeType;
482 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat, MatCompositeMergeType);
483 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm, PetscInt, const Mat *, Mat *);
484 /*E
485     MatCompositeType - indicates what type of `MATCOMPOSITE` is used
486 
487     Values:
488 +  `MAT_COMPOSITE_ADDITIVE`       - sum of matrices (default)
489 -  `MAT_COMPOSITE_MULTIPLICATIVE` - product of matrices
490 
491     Level: beginner
492 
493 .seealso: [](ch_matrices), `MATCOMPOSITE`, `MatCompositeSetType()`, `MatCompositeGetType()`
494 E*/
495 typedef enum {
496   MAT_COMPOSITE_ADDITIVE,
497   MAT_COMPOSITE_MULTIPLICATIVE
498 } MatCompositeType;
499 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat, MatCompositeType);
500 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat, MatCompositeType *);
501 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat, MatStructure);
502 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat, MatStructure *);
503 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat, PetscInt *);
504 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat, PetscInt, Mat *);
505 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat, const PetscScalar *);
506 
507 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm, PetscInt, const PetscInt[], MatType, Mat *);
508 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm, PetscInt, const PetscInt[], Mat *);
509 
510 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat, Mat *);
511 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat, Mat *);
512 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat, Mat *);
513 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat, Mat *);
514 PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat, Mat *);
515 PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat, Mat *);
516 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat, IS, IS, Mat *);
517 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat, Mat, IS, IS);
518 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat, IS, IS, Mat *);
519 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar, Mat *);
520 PETSC_EXTERN PetscErrorCode MatCreateDiagonal(Vec, Mat *);
521 PETSC_EXTERN PetscErrorCode MatDiagonalGetDiagonal(Mat, Vec *);
522 PETSC_EXTERN PetscErrorCode MatDiagonalRestoreDiagonal(Mat, Vec *);
523 PETSC_EXTERN PetscErrorCode MatDiagonalGetInverseDiagonal(Mat, Vec *);
524 PETSC_EXTERN PetscErrorCode MatDiagonalRestoreInverseDiagonal(Mat, Vec *);
525 
526 #if defined(PETSC_HAVE_HYPRE)
527 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
528 #endif
529 
530 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat, const char[]);
531 PETSC_EXTERN PetscErrorCode MatPythonGetType(Mat, const char *[]);
532 
533 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
534 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
535 PETSC_EXTERN PetscErrorCode MatDestroy(Mat *);
536 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat, PetscObjectState *);
537 
538 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
539 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
540 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
541 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat, Mat *);
542 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat, PetscScalar *);
543 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat, const PetscScalar **);
544 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat, PetscInt, const PetscInt *, PetscScalar *);
545 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat, Mat);
546 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat, MatReuse, Mat *);
547 PETSC_EXTERN PetscErrorCode MatComputeVariableBlockEnvelope(Mat);
548 
549 PETSC_EXTERN PetscErrorCode MatSetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
550 PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat, IS, IS, const PetscScalar[], InsertMode);
551 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
552 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat, PetscInt, const PetscScalar[]);
553 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat, PetscInt, const PetscScalar[]);
554 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt[], const PetscScalar[]);
555 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat, PetscRandom);
556 
557 /*S
558    MatStencil - Data structure (C struct) for storing information about rows and
559    columns of a matrix as indexed on an associated grid. These are arguments to `MatSetStencil()` and `MatSetBlockStencil()`
560 
561    Level: beginner
562 
563    Notes:
564    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).
565    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.
566 
567    For stencil access to vectors see `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`.
568 
569    For staggered grids, see `DMStagStencil`
570 
571    Fortran Note:
572    See `MatSetValuesStencil()` for details.
573 
574 .seealso: [](ch_matrices), `Mat`, `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`,
575           `DMStagStencil`
576 S*/
577 typedef struct {
578   PetscInt k, j, i, c;
579 } MatStencil;
580 
581 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
582 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
583 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat, PetscInt, const PetscInt[], const PetscInt[], PetscInt);
584 
585 /*E
586     MatAssemblyType - Indicates if the process of setting values into the matrix is complete, and the matrix is ready for use
587 
588     Values:
589 +   `MAT_FLUSH_ASSEMBLY` - you will continue to put values into the matrix
590 -   `MAT_FINAL_ASSEMBLY` - you wish to use the matrix with the values currently inserted
591 
592     Level: beginner
593 
594 .seealso: [](ch_matrices), `Mat`, `MatSetValues`, `MatAssemblyBegin()`, `MatAssemblyEnd()`
595 E*/
596 typedef enum {
597   MAT_FLUSH_ASSEMBLY = 1,
598   MAT_FINAL_ASSEMBLY = 0
599 } MatAssemblyType;
600 
601 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat, MatAssemblyType);
602 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat, MatAssemblyType);
603 PETSC_EXTERN PetscErrorCode MatAssembled(Mat, PetscBool *);
604 
605 /*E
606    MatOption - Options that may be set for a matrix that indicate properties of the matrix or affect its behavior or storage
607 
608    Level: beginner
609 
610    Note:
611    See `MatSetOption()` for the use of the options
612 
613    Developer Note:
614    Entries that are negative need not be called collectively by all processes.
615 
616 .seealso: [](ch_matrices), `Mat`, `MatSetOption()`
617 E*/
618 typedef enum {
619   MAT_OPTION_MIN                  = -3,
620   MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
621   MAT_ROW_ORIENTED                = -1,
622   MAT_SYMMETRIC                   = 1,
623   MAT_STRUCTURALLY_SYMMETRIC      = 2,
624   MAT_FORCE_DIAGONAL_ENTRIES      = 3,
625   MAT_IGNORE_OFF_PROC_ENTRIES     = 4,
626   MAT_USE_HASH_TABLE              = 5,
627   MAT_KEEP_NONZERO_PATTERN        = 6,
628   MAT_IGNORE_ZERO_ENTRIES         = 7,
629   MAT_USE_INODES                  = 8,
630   MAT_HERMITIAN                   = 9,
631   MAT_SYMMETRY_ETERNAL            = 10,
632   MAT_NEW_NONZERO_LOCATION_ERR    = 11,
633   MAT_IGNORE_LOWER_TRIANGULAR     = 12,
634   MAT_ERROR_LOWER_TRIANGULAR      = 13,
635   MAT_GETROW_UPPERTRIANGULAR      = 14,
636   MAT_SPD                         = 15,
637   MAT_NO_OFF_PROC_ZERO_ROWS       = 16,
638   MAT_NO_OFF_PROC_ENTRIES         = 17,
639   MAT_NEW_NONZERO_LOCATIONS       = 18,
640   MAT_NEW_NONZERO_ALLOCATION_ERR  = 19,
641   MAT_SUBSET_OFF_PROC_ENTRIES     = 20,
642   MAT_SUBMAT_SINGLEIS             = 21,
643   MAT_STRUCTURE_ONLY              = 22,
644   MAT_SORTED_FULL                 = 23,
645   MAT_FORM_EXPLICIT_TRANSPOSE     = 24,
646   MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
647   MAT_SPD_ETERNAL                 = 26,
648   MAT_OPTION_MAX                  = 27
649 } MatOption;
650 
651 PETSC_EXTERN const char *const *MatOptions;
652 PETSC_EXTERN PetscErrorCode     MatSetOption(Mat, MatOption, PetscBool);
653 PETSC_EXTERN PetscErrorCode     MatGetOption(Mat, MatOption, PetscBool *);
654 PETSC_EXTERN PetscErrorCode     MatPropagateSymmetryOptions(Mat, Mat);
655 PETSC_EXTERN PetscErrorCode     MatGetType(Mat, MatType *);
656 
657 PETSC_EXTERN PetscErrorCode    MatGetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
658 PETSC_EXTERN PetscErrorCode    MatGetRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
659 PETSC_EXTERN PetscErrorCode    MatRestoreRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
660 PETSC_EXTERN PetscErrorCode    MatGetRowUpperTriangular(Mat);
661 PETSC_EXTERN PetscErrorCode    MatRestoreRowUpperTriangular(Mat);
662 PETSC_EXTERN PetscErrorCode    MatGetColumnVector(Mat, Vec, PetscInt);
663 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArray(Mat, PetscScalar *[]);
664 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayRead(Mat, const PetscScalar *[]);
665 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayWrite(Mat, PetscScalar *[]);
666 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArray(Mat, PetscScalar *[]);
667 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayRead(Mat, const PetscScalar *[]);
668 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayWrite(Mat, PetscScalar *[]);
669 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetMaxRowNonzeros(Mat, PetscInt *);
670 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetValuesLocalFast(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
671 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetType(Mat, MatType);
672 PETSC_EXTERN PetscErrorCode    MatSeqAIJKron(Mat, Mat, MatReuse, Mat *);
673 PETSC_EXTERN PetscErrorCode    MatSeqAIJRegister(const char[], PetscErrorCode (*)(Mat, MatType, MatReuse, Mat *));
674 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
675 PETSC_EXTERN PetscErrorCode    MatSeqBAIJGetArray(Mat, PetscScalar *[]);
676 PETSC_EXTERN PetscErrorCode    MatSeqBAIJRestoreArray(Mat, PetscScalar *[]);
677 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJGetArray(Mat, PetscScalar *[]);
678 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJRestoreArray(Mat, PetscScalar *[]);
679 PETSC_EXTERN PetscErrorCode    MatDenseGetArray(Mat, PetscScalar *[]);
680 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArray(Mat, PetscScalar *[]);
681 PETSC_EXTERN PetscErrorCode    MatDensePlaceArray(Mat, const PetscScalar[]);
682 PETSC_EXTERN PetscErrorCode    MatDenseReplaceArray(Mat, const PetscScalar[]);
683 PETSC_EXTERN PetscErrorCode    MatDenseResetArray(Mat);
684 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayRead(Mat, const PetscScalar *[]);
685 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayRead(Mat, const PetscScalar *[]);
686 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWrite(Mat, PetscScalar *[]);
687 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWrite(Mat, PetscScalar *[]);
688 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayAndMemType(Mat, PetscScalar *[], PetscMemType *);
689 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayAndMemType(Mat, PetscScalar *[]);
690 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayReadAndMemType(Mat, const PetscScalar *[], PetscMemType *);
691 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayReadAndMemType(Mat, const PetscScalar *[]);
692 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWriteAndMemType(Mat, PetscScalar *[], PetscMemType *);
693 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWriteAndMemType(Mat, PetscScalar *[]);
694 PETSC_EXTERN PetscErrorCode    MatGetBlockSize(Mat, PetscInt *);
695 PETSC_EXTERN PetscErrorCode    MatSetBlockSize(Mat, PetscInt);
696 PETSC_EXTERN PetscErrorCode    MatGetBlockSizes(Mat, PetscInt *, PetscInt *);
697 PETSC_EXTERN PetscErrorCode    MatSetBlockSizes(Mat, PetscInt, PetscInt);
698 PETSC_EXTERN PetscErrorCode    MatSetBlockSizesFromMats(Mat, Mat, Mat);
699 PETSC_EXTERN PetscErrorCode    MatSetVariableBlockSizes(Mat, PetscInt, const PetscInt[]);
700 PETSC_EXTERN PetscErrorCode    MatGetVariableBlockSizes(Mat, PetscInt *, const PetscInt *[]);
701 
702 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat, PetscInt, PetscScalar *[]);
703 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat, PetscScalar *[]);
704 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat, PetscInt, Vec *);
705 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat, PetscInt, Vec *);
706 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat, PetscInt, Vec *);
707 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat, PetscInt, Vec *);
708 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat, PetscInt, Vec *);
709 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat, PetscInt, Vec *);
710 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
711 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat, Mat *);
712 
713 PETSC_EXTERN PetscErrorCode MatMult(Mat, Vec, Vec);
714 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat, Vec, Vec);
715 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat, Vec, Vec, Vec);
716 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat, Vec, Vec);
717 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat, Vec, Vec);
718 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat, Mat, PetscReal, PetscBool *);
719 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat, Mat, PetscReal, PetscBool *);
720 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat, Vec, Vec, Vec);
721 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat, Vec, Vec, Vec);
722 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat, Mat, Mat);
723 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat, Mat, Mat);
724 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat, Mat, Mat);
725 PETSC_EXTERN PetscErrorCode MatResidual(Mat, Vec, Vec, Vec);
726 
727 /*E
728   MatDuplicateOption - Indicates if a duplicated sparse matrix should have
729   its numerical values copied over or just its nonzero structure.
730 
731   Values:
732 + `MAT_DO_NOT_COPY_VALUES`    - Create a matrix using the same nonzero pattern as the original matrix,
733                                 with zeros for the numerical values
734 . `MAT_COPY_VALUES`           - Create a matrix with the same nonzero pattern as the original matrix
735                                 and with the same numerical values.
736 - `MAT_SHARE_NONZERO_PATTERN` - Create a matrix that shares the nonzero structure with the previous matrix
737                                 and does not copy it, using zeros for the numerical values. The parent and
738                                 child matrices will share their index (i and j) arrays, and you cannot
739                                 insert new nonzero entries into either matrix
740 
741   Level: beginner
742 
743   Note:
744   Many matrix types (including `MATSEQAIJ`) do not support the `MAT_SHARE_NONZERO_PATTERN` optimization; in
745   this case the behavior is as if `MAT_DO_NOT_COPY_VALUES` has been specified.
746 
747 .seealso: [](ch_matrices), `Mat`, `MatDuplicate()`
748 E*/
749 typedef enum {
750   MAT_DO_NOT_COPY_VALUES,
751   MAT_COPY_VALUES,
752   MAT_SHARE_NONZERO_PATTERN
753 } MatDuplicateOption;
754 
755 PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
756 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);
757 
758 PETSC_EXTERN PetscErrorCode MatCopy(Mat, Mat, MatStructure);
759 PETSC_EXTERN PetscErrorCode MatView(Mat, PetscViewer);
760 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat, PetscReal, PetscBool *);
761 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat, PetscBool *);
762 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat, PetscReal, PetscBool *);
763 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat, PetscBool *, PetscBool *);
764 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat, PetscBool *, PetscBool *);
765 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat, PetscBool *, PetscBool *);
766 PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat, PetscBool *, PetscBool *);
767 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat, PetscBool *, PetscInt *);
768 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
769 
770 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
771 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
772 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
773 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
774 
775 /*S
776    MatInfo - Context of matrix information, used with `MatGetInfo()`
777 
778    Level: intermediate
779 
780    Fortran Note:
781    Information is stored as a double-precision array of dimension `MAT_INFO_SIZE`
782 
783 .seealso: [](ch_matrices), `Mat`, `MatGetInfo()`, `MatInfoType`
784 S*/
785 typedef struct {
786   PetscLogDouble block_size;                          /* block size */
787   PetscLogDouble nz_allocated, nz_used, nz_unneeded;  /* number of nonzeros */
788   PetscLogDouble memory;                              /* memory allocated */
789   PetscLogDouble assemblies;                          /* number of matrix assemblies called */
790   PetscLogDouble mallocs;                             /* number of mallocs during MatSetValues() */
791   PetscLogDouble fill_ratio_given, fill_ratio_needed; /* fill ratio for LU/ILU */
792   PetscLogDouble factor_mallocs;                      /* number of mallocs during factorization */
793 } MatInfo;
794 
795 /*E
796     MatInfoType - Indicates if you want information about the local part of the matrix,
797     the entire parallel matrix or the maximum over all the local parts.
798 
799     Values:
800 +   `MAT_LOCAL`      - values for each MPI process part of the matrix
801 .   `MAT_GLOBAL_MAX` - maximum of each value over all MPI processes
802 -   `MAT_GLOBAL_SUM` - sum of each value over all MPI processes
803 
804     Level: beginner
805 
806 .seealso: [](ch_matrices), `MatGetInfo()`, `MatInfo`
807 E*/
808 typedef enum {
809   MAT_LOCAL      = 1,
810   MAT_GLOBAL_MAX = 2,
811   MAT_GLOBAL_SUM = 3
812 } MatInfoType;
813 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat, MatInfoType, MatInfo *);
814 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat, Vec);
815 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat, Vec, PetscInt[]);
816 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat, Vec, PetscInt[]);
817 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat, Vec, PetscInt[]);
818 PETSC_EXTERN PetscErrorCode MatGetRowSumAbs(Mat, Vec);
819 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat, Vec, PetscInt[]);
820 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat, Vec);
821 PETSC_EXTERN PetscErrorCode MatTranspose(Mat, MatReuse, Mat *);
822 PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat, Mat *);
823 PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat, Mat);
824 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat, MatReuse, Mat *);
825 PETSC_EXTERN PetscErrorCode MatPermute(Mat, IS, IS, Mat *);
826 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat, Vec, Vec);
827 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat, Vec, InsertMode);
828 
829 PETSC_EXTERN PetscErrorCode MatEqual(Mat, Mat, PetscBool *);
830 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat, Mat, PetscInt, PetscBool *);
831 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat, Mat, PetscInt, PetscBool *);
832 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
833 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
834 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
835 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
836 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
837 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
838 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
839 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
840 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
841 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat, PetscInt, PetscBool *);
842 
843 PETSC_EXTERN PetscErrorCode MatNorm(Mat, NormType, PetscReal *);
844 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat, NormType, PetscReal *);
845 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat, PetscScalar *);
846 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat, PetscReal *);
847 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat, PetscReal *);
848 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat, PetscScalar *);
849 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat, PetscReal *);
850 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat, PetscReal *);
851 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat, PetscInt, PetscReal *);
852 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
853 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
854 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
855 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat, IS, PetscScalar, Vec, Vec);
856 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
857 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
858 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
859 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat, IS, PetscScalar, Vec, Vec);
860 
861 PETSC_EXTERN PetscErrorCode MatGetSize(Mat, PetscInt *, PetscInt *);
862 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat, PetscInt *, PetscInt *);
863 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat, PetscInt *, PetscInt *);
864 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat, const PetscInt **);
865 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat, PetscInt *, PetscInt *);
866 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat, const PetscInt **);
867 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat, IS *, IS *);
868 
869 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
870 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[])
871 {
872   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
873 }
874 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
875 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[])
876 {
877   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
878 }
879 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
880 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
881 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
882 PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatrix()", ) static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat)
883 {
884   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
885 }
886 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
887 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
888 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
889 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);
890 
891 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm, Mat, PetscInt, PetscInt, MatReuse, Mat *);
892 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm, Mat, PetscInt, PetscInt, Mat *);
893 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat, Mat);
894 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat, MatReuse, Mat *);
895 PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat, Mat *);
896 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
897 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat, MatReuse, IS *, Mat *);
898 PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat, PetscCount *);
899 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat, Mat, MatReuse, IS *, IS *, Mat *);
900 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *, const PetscInt *[]);
901 
902 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
903 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat, PetscInt n, IS is[], PetscInt ov);
904 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);
905 
906 PETSC_EXTERN PetscErrorCode MatMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
907 
908 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
909 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
910 
911 PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
912 PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);
913 
914 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
915 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);
916 
917 PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
918 PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);
919 
920 PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
921 PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);
922 
923 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping, ISLocalToGlobalMapping);
924 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
925 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat, PetscLayout *, PetscLayout *);
926 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat, PetscLayout, PetscLayout);
927 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
928 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
929 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
930 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
931 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
932 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
933 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
934 
935 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
936 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);
937 
938 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat, Vec, Vec);
939 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat, Vec, Vec, Vec);
940 PETSC_EXTERN PetscErrorCode MatRestrict(Mat, Vec, Vec);
941 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat, Mat, Mat *);
942 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat, Mat, Mat, Mat *);
943 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat, Mat, Mat *);
944 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat, Vec *, Vec *);
945 PETSC_DEPRECATED_FUNCTION(3, 6, 0, "MatCreateVecs()", ) static inline PetscErrorCode MatGetVecs(Mat mat, Vec *x, Vec *y)
946 {
947   return MatCreateVecs(mat, x, y);
948 }
949 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat, PetscInt, MPI_Comm, MatReuse, Mat *);
950 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat, MPI_Comm, MatReuse, Mat *);
951 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat, IS *);
952 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat, IS *);
953 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm, Mat, PetscInt, MatReuse, Mat *);
954 
955 /*@C
956    MatSetValue - Set a single entry into a matrix.
957 
958    Not Collective
959 
960    Input Parameters:
961 +  mat  - the matrix
962 .  i    - the row location of the entry
963 .  j    - the column location of the entry
964 .  va   - the value to insert
965 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
966 
967    Level: beginner
968 
969    Notes:
970    This value may be cached, so `MatAssemblyBegin()` and `MatAssemblyEnd()`
971    MUST be called after all calls to `MatSetValue()` have been completed.
972 
973    For efficiency one should use `MatSetValues()` and set several values simultaneously.
974 
975 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `InsertMode`, `MatGetValue()`, `MatSetValues()`,
976           `MatSetValueLocal()`, `MatSetValuesLocal()`
977 @*/
978 static inline PetscErrorCode MatSetValue(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
979 {
980   return MatSetValues(mat, 1, &i, 1, &j, &va, mode);
981 }
982 
983 /*@C
984    MatGetValue - Gets a single value from a matrix
985 
986    Not Collective; can only return a value owned by the given process
987 
988    Input Parameters:
989 +  mat - the matrix
990 .  row - the row location of the entry
991 -  col - the column location of the entry
992 
993    Output Parameter:
994 .  va - the value
995 
996    Level: advanced
997 
998    Notes:
999    The matrix must have been assembled with `MatAssemblyBegin()` and `MatAssemblyEnd()` before this call
1000 
1001    For efficiency one should use `MatGetValues()` and get several values simultaneously.
1002 
1003    See notes for `MatGetValues()`.
1004 
1005 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
1006 @*/
1007 static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
1008 {
1009   return MatGetValues(mat, 1, &row, 1, &col, va);
1010 }
1011 
1012 /*@C
1013    MatSetValueLocal - Inserts or adds a single value into a matrix, using a local numbering of the nodes.
1014 
1015    Not Collective
1016 
1017    Input Parameters:
1018 +  mat  - the matrix
1019 .  i    - the row location of the entry
1020 .  j    - the column location of the entry
1021 .  va   - the value to insert
1022 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
1023 
1024    Level: intermediate
1025 
1026    Notes:
1027    For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.
1028 
1029    See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.
1030 
1031 .seealso: [](ch_matrices), `MatSetValue()`, `MatSetValuesLocal()`
1032 @*/
1033 static inline PetscErrorCode MatSetValueLocal(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
1034 {
1035   return MatSetValuesLocal(mat, 1, &i, 1, &j, &va, mode);
1036 }
1037 
1038 /*MC
1039    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
1040    row in a matrix providing the data that one can use to correctly preallocate the matrix.
1041 
1042    Synopsis:
1043    #include <petscmat.h>
1044    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
1045 
1046    Collective
1047 
1048    Input Parameters:
1049 +  comm  - the communicator that will share the eventually allocated matrix
1050 .  nrows - the number of LOCAL rows in the matrix
1051 -  ncols - the number of LOCAL columns in the matrix
1052 
1053    Output Parameters:
1054 +  dnz - the array that will be passed to the matrix preallocation routines
1055 -  onz - the other array passed to the matrix preallocation routines
1056 
1057    Level: deprecated (since v3.19)
1058 
1059    Notes:
1060    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1061    the use of this routine
1062 
1063    This is a macro that handles its own error checking, it does not return an error code.
1064 
1065    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1066 
1067    Developer Note:
1068    This is a MACRO, not a function, because it has a leading { that is closed by `PetscPreallocateFinalize()`.
1069 
1070 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1071           `MatPreallocateSymmetricSetLocalBlock()`
1072 M*/
1073 #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
1074   do { \
1075     PetscInt              __nrows = (nrows), __ncols = (ncols), __rstart, __end = 0; \
1076     PetscInt PETSC_UNUSED __start; \
1077     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
1078     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
1079     __start = __end - __ncols; \
1080     (void)__start; \
1081     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
1082   __rstart -= __nrows
1083 
1084 #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateBegin()", ) MatPreallocateBegin(__VA_ARGS__)
1085 
1086 /*MC
1087    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1088    inserted using a local number of the rows and columns
1089 
1090    Synopsis:
1091    #include <petscmat.h>
1092    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1093 
1094    Not Collective
1095 
1096    Input Parameters:
1097 +  map   - the row mapping from local numbering to global numbering
1098 .  nrows - the number of rows indicated
1099 .  rows  - the indices of the rows
1100 .  cmap  - the column mapping from local to global numbering
1101 .  ncols - the number of columns in the matrix
1102 .  cols  - the columns indicated
1103 .  dnz   - the array that will be passed to the matrix preallocation routines
1104 -  onz   - the other array passed to the matrix preallocation routines
1105 
1106    Level: deprecated (since v3.19)
1107 
1108    Notes:
1109    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1110    the use of this routine
1111 
1112    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1113 
1114 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1115           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
1116 M*/
1117 #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1118   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));)
1119 
1120 /*MC
1121    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1122    inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
1123 
1124    Synopsis:
1125    #include <petscmat.h>
1126    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1127 
1128    Not Collective
1129 
1130    Input Parameters:
1131 +  map   - the row mapping from local numbering to global numbering
1132 .  nrows - the number of rows indicated
1133 .  rows  - the indices of the rows (these values are mapped to the global values)
1134 .  cmap  - the column mapping from local to global numbering
1135 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1136 .  cols  - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1137 .  dnz   - the array that will be passed to the matrix preallocation routines
1138 -  onz   - the other array passed to the matrix preallocation routines
1139 
1140    Level: deprecated (since v3.19)
1141 
1142    Notes:
1143    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1144    the use of this routine
1145 
1146    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1147 
1148 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1149           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1150 M*/
1151 #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1152   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));)
1153 
1154 /*MC
1155    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1156    inserted using a local number of the rows and columns
1157 
1158    Synopsis:
1159    #include <petscmat.h>
1160    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1161 
1162    Not Collective
1163 
1164    Input Parameters:
1165 +  map   - the row mapping from local numbering to global numbering
1166 .  nrows - the number of rows indicated
1167 .  rows  - the indices of the rows
1168 .  cmap  - the column mapping from local to global numbering
1169 .  ncols - the number of columns in the matrix
1170 .  cols  - the columns indicated
1171 .  dnz   - the array that will be passed to the matrix preallocation routines
1172 -  onz   - the other array passed to the matrix preallocation routines
1173 
1174    Level: deprecated (since v3.19)
1175 
1176    Notes:
1177    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1178    the use of this routine
1179 
1180    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1181 
1182 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1183           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1184 M*/
1185 #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1186   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));)
1187 
1188 /*MC
1189    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1190    inserted using a local number of the rows and columns
1191 
1192    Synopsis:
1193    #include <petscmat.h>
1194    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1195 
1196    Not Collective
1197 
1198    Input Parameters:
1199 +  map   - the mapping between local numbering and global numbering
1200 .  nrows - the number of rows indicated
1201 .  rows  - the indices of the rows
1202 .  ncols - the number of columns in the matrix
1203 .  cols  - the columns indicated
1204 .  dnz   - the array that will be passed to the matrix preallocation routines
1205 -  onz   - the other array passed to the matrix preallocation routines
1206 
1207    Level: deprecated (since v3.19)
1208 
1209    Notes:
1210    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1211    the use of this routine
1212 
1213    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1214 
1215 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`
1216           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1217 M*/
1218 #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1219   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));)
1220 
1221 /*MC
1222    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1223    inserted using a local number of the rows and columns
1224 
1225    Synopsis:
1226    #include <petscmat.h>
1227    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1228 
1229    Not Collective
1230 
1231    Input Parameters:
1232 +  row   - the row
1233 .  ncols - the number of columns in the matrix
1234 -  cols  - the columns indicated
1235 
1236    Output Parameters:
1237 +  dnz - the array that will be passed to the matrix preallocation routines
1238 -  onz - the other array passed to the matrix preallocation routines
1239 
1240    Level: deprecated (since v3.19)
1241 
1242    Notes:
1243    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1244    the use of this routine
1245 
1246    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1247 
1248    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().
1249 
1250 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1251           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1252 M*/
1253 #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1254   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) { \
1255     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1256     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1257   })
1258 
1259 /*MC
1260    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1261    inserted using a local number of the rows and columns
1262 
1263    Synopsis:
1264    #include <petscmat.h>
1265    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1266 
1267    Not Collective
1268 
1269    Input Parameters:
1270 +  nrows - the number of rows indicated
1271 .  rows  - the indices of the rows
1272 .  ncols - the number of columns in the matrix
1273 .  cols  - the columns indicated
1274 .  dnz   - the array that will be passed to the matrix preallocation routines
1275 -  onz   - the other array passed to the matrix preallocation routines
1276 
1277    Level: deprecated (since v3.19)
1278 
1279    Notes:
1280    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1281    the use of this routine
1282 
1283    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1284 
1285    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().
1286 
1287 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1288           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1289 M*/
1290 #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1291   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
1292     if (cols[__i] >= __end) onz[row - __rstart]++; \
1293     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1294   })
1295 
1296 /*MC
1297    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1298 
1299    Synopsis:
1300    #include <petscmat.h>
1301    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1302 
1303    Not Collective
1304 
1305    Input Parameters:
1306 +  A     - matrix
1307 .  row   - row where values exist (must be local to this process)
1308 .  ncols - number of columns
1309 .  cols  - columns with nonzeros
1310 .  dnz   - the array that will be passed to the matrix preallocation routines
1311 -  onz   - the other array passed to the matrix preallocation routines
1312 
1313    Level: deprecated (since v3.19)
1314 
1315    Notes:
1316    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1317    the use of this routine
1318 
1319    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1320 
1321    Developer Note:
1322    This is a MACRO, not a function, because it uses a bunch of variables private to the MatPreallocation.... routines.
1323 
1324 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1325           `MatPreallocateSymmetricSetLocalBlock()`
1326 M*/
1327 #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))
1328 
1329 /*MC
1330    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1331    row in a matrix providing the data that one can use to correctly preallocate the matrix.
1332 
1333    Synopsis:
1334    #include <petscmat.h>
1335    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)
1336 
1337    Collective
1338 
1339    Input Parameters:
1340 +  dnz - the array that was be passed to the matrix preallocation routines
1341 -  onz - the other array passed to the matrix preallocation routines
1342 
1343    Level: deprecated (since v3.19)
1344 
1345    Notes:
1346    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1347    the use of this routine
1348 
1349    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1350 
1351    Developer Note:
1352    This is a MACRO, not a function, because it closes the { started in MatPreallocateBegin().
1353 
1354 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1355           `MatPreallocateSymmetricSetLocalBlock()`
1356 M*/
1357 #define MatPreallocateEnd(dnz, onz) \
1358   PetscCall(PetscFree2(dnz, onz)); \
1359   } \
1360   while (0)
1361 
1362 #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateEnd()", ) MatPreallocateEnd(__VA_ARGS__)
1363 
1364 /* Routines unique to particular data structures */
1365 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, void *);
1366 
1367 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1368 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);
1369 
1370 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1371 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1372 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1373 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1374 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1375 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscInt, PetscBool);
1376 
1377 #define MAT_SKIP_ALLOCATION -4
1378 
1379 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1380 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1381 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1382 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);
1383 
1384 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1385 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1386 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1387 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1388 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1389 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1390 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1391 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1392 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1393 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1394 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1395 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1396 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1397 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1398 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);
1399 
1400 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1401 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1402 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatDenseSetLDA()", ) static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
1403 {
1404   return MatDenseSetLDA(A, lda);
1405 }
1406 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);
1407 
1408 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1409 
1410 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1411 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1412 
1413 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1414 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1415 /*
1416   These routines are not usually accessed directly, rather solving is
1417   done through the KSP and PC interfaces.
1418 */
1419 
1420 /*J
1421    MatOrderingType - String with the name of a PETSc matrix ordering. These orderings are most commonly used
1422    to reduce fill in sparse factorizations.
1423 
1424    Level: beginner
1425 
1426    Notes:
1427    If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and instead the external factorization solver package called utilizes one
1428    of its own.
1429 
1430    There is no `MatOrdering` object, the ordering is obtained directly from the matrix with `MatGetOrdering()`
1431 
1432    Developer Note:
1433    This API should be converted to an API similar to those for `MatColoring` and `MatPartitioning`
1434 
1435 .seealso: [](ch_matrices), [](sec_graph), `MatGetFactor()`, `MatGetOrdering()`, `MatColoringType`, `MatPartitioningType`, `MatCoarsenType`, `MatCoarsenType`,
1436           `PCFactorSetOrderingType()`
1437 J*/
1438 typedef const char *MatOrderingType;
1439 #define MATORDERINGNATURAL       "natural"
1440 #define MATORDERINGND            "nd"
1441 #define MATORDERING1WD           "1wd"
1442 #define MATORDERINGRCM           "rcm"
1443 #define MATORDERINGQMD           "qmd"
1444 #define MATORDERINGROWLENGTH     "rowlength"
1445 #define MATORDERINGWBM           "wbm"
1446 #define MATORDERINGSPECTRAL      "spectral"
1447 #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1448 #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1449 #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 */
1450 #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */
1451 
1452 PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1453 PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1454 PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1455 PETSC_EXTERN PetscFunctionList MatOrderingList;
1456 
1457 #include "petscmatcoarsen.h"
1458 
1459 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1460 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);
1461 
1462 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);
1463 
1464 /*S
1465    MatFactorShiftType - Type of numeric shift used for factorizations
1466 
1467    Values:
1468 +  `MAT_SHIFT_NONE`              - do not shift the matrix diagonal entries
1469 .  `MAT_SHIFT_NONZERO`           - shift the entries to be non-zero
1470 .  `MAT_SHIFT_POSITIVE_DEFINITE` - shift the entries to force the factorization to be positive definite
1471 -  `MAT_SHIFT_INBLOCKS`          - only shift the factors inside the small dense diagonal blocks of the matrix, for example with `MATBAIJ`
1472 
1473    Level: intermediate
1474 
1475 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `PCFactorSetShiftType()`
1476 S*/
1477 typedef enum {
1478   MAT_SHIFT_NONE,
1479   MAT_SHIFT_NONZERO,
1480   MAT_SHIFT_POSITIVE_DEFINITE,
1481   MAT_SHIFT_INBLOCKS
1482 } MatFactorShiftType;
1483 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1484 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1485 
1486 /*S
1487     MatFactorError - indicates what type of error was generated in a matrix factorization
1488 
1489     Values:
1490 +   `MAT_FACTOR_NOERROR`           - there was no error during the factorization
1491 .   `MAT_FACTOR_STRUCT_ZEROPIVOT`  - there was a missing entry in a diagonal location of the matrix
1492 .   `MAT_FACTOR_NUMERIC_ZEROPIVOT` - there was a (near) zero pivot during the factorization
1493 .   `MAT_FACTOR_OUTMEMORY`         - the factorization has run out of memory
1494 -   `MAT_FACTOR_OTHER`             - some other error has occurred.
1495 
1496     Level: intermediate
1497 
1498     Note:
1499     When a factorization is done in a preconditioner `PC` the error may be propagated up to a `PCFailedReason` or a `KSPConvergedReason`
1500 
1501 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `MatFactorGetError()`, `MatFactorGetErrorZeroPivot()`, `MatFactorClearError()`,
1502           `PCFailedReason`, `PCGetFailedReason()`, `KSPConvergedReason`
1503 S*/
1504 typedef enum {
1505   MAT_FACTOR_NOERROR,
1506   MAT_FACTOR_STRUCT_ZEROPIVOT,
1507   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1508   MAT_FACTOR_OUTMEMORY,
1509   MAT_FACTOR_OTHER
1510 } MatFactorError;
1511 
1512 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1513 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1514 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);
1515 
1516 /*S
1517    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1518 
1519    Level: developer
1520 
1521    Note:
1522    You can use `MatFactorInfoInitialize()` to set default values.
1523 
1524    Fortran Note:
1525    The data is available in a double precision arrays of size `MAT_FACTORINFO_SIZE`
1526 
1527 .seealso: [](ch_matrices), `Mat`, `MatInfo`, `MatGetFactor()`, `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`,
1528           `MatICCFactorSymbolic()`, `MatICCFactor()`, `MatFactorInfoInitialize()`
1529 S*/
1530 typedef struct {
1531   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1532   PetscReal usedt;
1533   PetscReal dt;            /* drop tolerance */
1534   PetscReal dtcol;         /* tolerance for pivoting */
1535   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1536   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1537   PetscReal levels;        /* ICC/ILU(levels) */
1538   PetscReal pivotinblocks; /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1539                                    factorization may be faster if do not pivot */
1540   PetscReal zeropivot;     /* pivot is called zero if less than this */
1541   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1542   PetscReal shiftamount;   /* how large the shift is */
1543 } MatFactorInfo;
1544 
1545 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1546 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1547 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1548 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1549 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1550 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1551 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1552 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1553 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1554 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1555 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1556 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1557 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1558 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1559 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1560 PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1561 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1562 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1563 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1564 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1565 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1566 PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1567 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1568 
1569 typedef enum {
1570   MAT_FACTOR_SCHUR_UNFACTORED,
1571   MAT_FACTOR_SCHUR_FACTORED,
1572   MAT_FACTOR_SCHUR_INVERTED
1573 } MatFactorSchurStatus;
1574 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1575 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1576 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1577 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1578 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1579 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1580 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1581 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1582 
1583 PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1584 /*E
1585    MatSORType - What type of (S)SOR to perform
1586 
1587    Values:
1588 +  `SOR_FORWARD_SWEEP`         - do a sweep from the first row of the matrix to the last
1589 .  `SOR_BACKWARD_SWEEP`        - do a sweep from the last row to the first
1590 .  `SOR_SYMMETRIC_SWEEP`       - do a sweep from the first row to the last and then back to the first
1591 .  `SOR_LOCAL_FORWARD_SWEEP`   - each MPI process does its own forward sweep with no communication
1592 .  `SOR_LOCAL_BACKWARD_SWEEP`  - each MPI process does its own backward sweep with no communication
1593 .  `SOR_LOCAL_SYMMETRIC_SWEEP` - each MPI process does its own symmetric sweep with no communication
1594 .  `SOR_ZERO_INITIAL_GUESS`    - indicates the initial solution is zero so the sweep can avoid unneeded computation
1595 .  `SOR_EISENSTAT`             - apply the Eisentat application of SOR, see `PCEISENSTAT`
1596 .  `SOR_APPLY_UPPER`           - multiply by the upper triangular portion of the matrix
1597 -  `SOR_APPLY_LOWER`           - multiply by the lower triangular portion of the matrix
1598 
1599    Level: beginner
1600 
1601    Note:
1602    These may be bitwise ORd together
1603 
1604    Developer Note:
1605    Since `MatSORType` may be bitwise ORd together, so do not change the numerical values below
1606 
1607 .seealso: [](ch_matrices), `MatSOR()`
1608 E*/
1609 typedef enum {
1610   SOR_FORWARD_SWEEP         = 1,
1611   SOR_BACKWARD_SWEEP        = 2,
1612   SOR_SYMMETRIC_SWEEP       = 3,
1613   SOR_LOCAL_FORWARD_SWEEP   = 4,
1614   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1615   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1616   SOR_ZERO_INITIAL_GUESS    = 16,
1617   SOR_EISENSTAT             = 32,
1618   SOR_APPLY_UPPER           = 64,
1619   SOR_APPLY_LOWER           = 128
1620 } MatSORType;
1621 PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);
1622 
1623 /*S
1624    MatColoring - Object for managing the coloring of matrices.
1625 
1626    Level: beginner
1627 
1628    Notes:
1629    Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1630    matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).
1631 
1632    Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1633    same object can also be used to efficiently convert data created by Automatic Differentiation tools to PETSc sparse matrices.
1634 
1635 .seealso: [](ch_matrices), [](sec_graph), `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`,
1636           `MatPartitioning`, `MatColoringType`, `MatPartitioningType`, `MatOrderingType`, `MatColoringSetWeightType()`,
1637           `MatColoringSetWeights()`, `MatCoarsenType`, `MatCoarsen`
1638 S*/
1639 typedef struct _p_MatColoring *MatColoring;
1640 
1641 /*J
1642    MatColoringType - String with the name of a PETSc matrix coloring
1643 
1644    Level: beginner
1645 
1646 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatFDColoringCreate()`, `MatColoringSetType()`, `MatColoring`
1647 J*/
1648 typedef const char *MatColoringType;
1649 #define MATCOLORINGJP      "jp"
1650 #define MATCOLORINGPOWER   "power"
1651 #define MATCOLORINGNATURAL "natural"
1652 #define MATCOLORINGSL      "sl"
1653 #define MATCOLORINGLF      "lf"
1654 #define MATCOLORINGID      "id"
1655 #define MATCOLORINGGREEDY  "greedy"
1656 
1657 /*E
1658    MatColoringWeightType - Type of weight scheme used for the coloring algorithm
1659 
1660    Values:
1661 +  `MAT_COLORING_RANDOM`  - Random weights
1662 .  `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1663 -  `MAT_COLORING_LF`      - Last-first weighting.
1664 
1665     Level: intermediate
1666 
1667 .seealso: [](ch_matrices), `MatColoring`, `MatColoringCreate()`, `MatColoringSetWeightType()`, `MatColoringSetWeights()`
1668 E*/
1669 typedef enum {
1670   MAT_COLORING_WEIGHT_RANDOM,
1671   MAT_COLORING_WEIGHT_LEXICAL,
1672   MAT_COLORING_WEIGHT_LF,
1673   MAT_COLORING_WEIGHT_SL
1674 } MatColoringWeightType;
1675 
1676 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1677 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1678 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1679 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1680 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1681 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1682 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1683 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1684 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1685 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1686 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1687 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1688 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1689 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1690 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1691 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1692 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1693 PETSC_DEPRECATED_FUNCTION(3, 10, 0, "MatColoringTest()", ) static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
1694 {
1695   return MatColoringTest(matcoloring, iscoloring);
1696 }
1697 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);
1698 
1699 /*S
1700    MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring
1701 
1702    Level: beginner
1703 
1704    Notes:
1705    This object is creating utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`
1706 
1707    The `SNES` option `-snes_fd_coloring` will cause the Jacobian needed by `SNES` to be computed via a use of this object
1708 
1709 .seealso: [](ch_matrices), `Mat`, `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1710 S*/
1711 typedef struct _p_MatFDColoring *MatFDColoring;
1712 
1713 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1714 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1715 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1716 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, PetscErrorCode (*)(void), void *);
1717 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, PetscErrorCode (**)(void), void **);
1718 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1719 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1720 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1721 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1722 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1723 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1724 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1725 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);
1726 
1727 /*S
1728    MatTransposeColoring - Object for computing a sparse matrix product $C = A*B^T$ via coloring
1729 
1730    Level: developer
1731 
1732 .seealso: [](ch_matrices), `Mat`, `MatProductType`, `MatTransposeColoringCreate()`
1733 S*/
1734 typedef struct _p_MatTransposeColoring *MatTransposeColoring;
1735 
1736 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1737 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1738 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1739 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);
1740 
1741 /*S
1742    MatPartitioning - Object for managing the partitioning of a matrix or graph
1743 
1744    Level: beginner
1745 
1746    Note:
1747    There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1748    via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)
1749 
1750    Developer Note:
1751    It is an extra maintenance and documentation cost to have two objects with the same functionality. `PetscPartitioner` should be removed
1752 
1753 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`, `MatOrderingType`,
1754           `MatCoarsenType`, `MatCoarsenType`
1755 S*/
1756 typedef struct _p_MatPartitioning *MatPartitioning;
1757 
1758 /*J
1759     MatPartitioningType - String with the name of a PETSc matrix partitioning
1760 
1761    Level: beginner
1762 dm
1763 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`, `MatColoringType`, `MatOrderingType`,
1764           `MatCoarsenType`, `MatCoarsenType`
1765 J*/
1766 typedef const char *MatPartitioningType;
1767 #define MATPARTITIONINGCURRENT  "current"
1768 #define MATPARTITIONINGAVERAGE  "average"
1769 #define MATPARTITIONINGSQUARE   "square"
1770 #define MATPARTITIONINGPARMETIS "parmetis"
1771 #define MATPARTITIONINGCHACO    "chaco"
1772 #define MATPARTITIONINGPARTY    "party"
1773 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1774 #define MATPARTITIONINGHIERARCH "hierarch"
1775 
1776 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1777 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1778 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1779 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1780 PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1781 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1782 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1783 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1784 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1785 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1786 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1787 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1788 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1789 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1790 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1791 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1792 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1793 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1794 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);
1795 
1796 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1797 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1798 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1799 
1800 typedef enum {
1801   MP_CHACO_MULTILEVEL = 1,
1802   MP_CHACO_SPECTRAL   = 2,
1803   MP_CHACO_LINEAR     = 4,
1804   MP_CHACO_RANDOM     = 5,
1805   MP_CHACO_SCATTERED  = 6
1806 } MPChacoGlobalType;
1807 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1808 typedef enum {
1809   MP_CHACO_KERNIGHAN = 1,
1810   MP_CHACO_NONE      = 2
1811 } MPChacoLocalType;
1812 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1813 typedef enum {
1814   MP_CHACO_LANCZOS = 0,
1815   MP_CHACO_RQI     = 1
1816 } MPChacoEigenType;
1817 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1818 
1819 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1820 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1821 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1822 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1823 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1824 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1825 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1826 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1827 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1828 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1829 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);
1830 
1831 #define MP_PARTY_OPT "opt"
1832 #define MP_PARTY_LIN "lin"
1833 #define MP_PARTY_SCA "sca"
1834 #define MP_PARTY_RAN "ran"
1835 #define MP_PARTY_GBF "gbf"
1836 #define MP_PARTY_GCF "gcf"
1837 #define MP_PARTY_BUB "bub"
1838 #define MP_PARTY_DEF "def"
1839 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1840 #define MP_PARTY_HELPFUL_SETS  "hs"
1841 #define MP_PARTY_KERNIGHAN_LIN "kl"
1842 #define MP_PARTY_NONE          "no"
1843 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1844 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1845 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1846 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);
1847 
1848 typedef enum {
1849   MP_PTSCOTCH_DEFAULT,
1850   MP_PTSCOTCH_QUALITY,
1851   MP_PTSCOTCH_SPEED,
1852   MP_PTSCOTCH_BALANCE,
1853   MP_PTSCOTCH_SAFETY,
1854   MP_PTSCOTCH_SCALABILITY
1855 } MPPTScotchStrategyType;
1856 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1857 
1858 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1859 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1860 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1861 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);
1862 
1863 /*
1864  * hierarchical partitioning
1865  */
1866 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1867 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1868 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1869 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1870 
1871 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);
1872 
1873 /*
1874     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1875     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1876 */
1877 typedef enum {
1878   MATOP_SET_VALUES               = 0,
1879   MATOP_GET_ROW                  = 1,
1880   MATOP_RESTORE_ROW              = 2,
1881   MATOP_MULT                     = 3,
1882   MATOP_MULT_ADD                 = 4,
1883   MATOP_MULT_TRANSPOSE           = 5,
1884   MATOP_MULT_TRANSPOSE_ADD       = 6,
1885   MATOP_SOLVE                    = 7,
1886   MATOP_SOLVE_ADD                = 8,
1887   MATOP_SOLVE_TRANSPOSE          = 9,
1888   MATOP_SOLVE_TRANSPOSE_ADD      = 10,
1889   MATOP_LUFACTOR                 = 11,
1890   MATOP_CHOLESKYFACTOR           = 12,
1891   MATOP_SOR                      = 13,
1892   MATOP_TRANSPOSE                = 14,
1893   MATOP_GETINFO                  = 15,
1894   MATOP_EQUAL                    = 16,
1895   MATOP_GET_DIAGONAL             = 17,
1896   MATOP_DIAGONAL_SCALE           = 18,
1897   MATOP_NORM                     = 19,
1898   MATOP_ASSEMBLY_BEGIN           = 20,
1899   MATOP_ASSEMBLY_END             = 21,
1900   MATOP_SET_OPTION               = 22,
1901   MATOP_ZERO_ENTRIES             = 23,
1902   MATOP_ZERO_ROWS                = 24,
1903   MATOP_LUFACTOR_SYMBOLIC        = 25,
1904   MATOP_LUFACTOR_NUMERIC         = 26,
1905   MATOP_CHOLESKY_FACTOR_SYMBOLIC = 27,
1906   MATOP_CHOLESKY_FACTOR_NUMERIC  = 28,
1907   MATOP_SETUP                    = 29,
1908   MATOP_ILUFACTOR_SYMBOLIC       = 30,
1909   MATOP_ICCFACTOR_SYMBOLIC       = 31,
1910   MATOP_GET_DIAGONAL_BLOCK       = 32,
1911   MATOP_SET_INF                  = 33,
1912   MATOP_DUPLICATE                = 34,
1913   MATOP_FORWARD_SOLVE            = 35,
1914   MATOP_BACKWARD_SOLVE           = 36,
1915   MATOP_ILUFACTOR                = 37,
1916   MATOP_ICCFACTOR                = 38,
1917   MATOP_AXPY                     = 39,
1918   MATOP_CREATE_SUBMATRICES       = 40,
1919   MATOP_INCREASE_OVERLAP         = 41,
1920   MATOP_GET_VALUES               = 42,
1921   MATOP_COPY                     = 43,
1922   MATOP_GET_ROW_MAX              = 44,
1923   MATOP_SCALE                    = 45,
1924   MATOP_SHIFT                    = 46,
1925   MATOP_DIAGONAL_SET             = 47,
1926   MATOP_ZERO_ROWS_COLUMNS        = 48,
1927   MATOP_SET_RANDOM               = 49,
1928   MATOP_GET_ROW_IJ               = 50,
1929   MATOP_RESTORE_ROW_IJ           = 51,
1930   MATOP_GET_COLUMN_IJ            = 52,
1931   MATOP_RESTORE_COLUMN_IJ        = 53,
1932   MATOP_FDCOLORING_CREATE        = 54,
1933   MATOP_COLORING_PATCH           = 55,
1934   MATOP_SET_UNFACTORED           = 56,
1935   MATOP_PERMUTE                  = 57,
1936   MATOP_SET_VALUES_BLOCKED       = 58,
1937   MATOP_CREATE_SUBMATRIX         = 59,
1938   MATOP_DESTROY                  = 60,
1939   MATOP_VIEW                     = 61,
1940   MATOP_CONVERT_FROM             = 62,
1941   /* MATOP_PLACEHOLDER_63=63 */
1942   MATOP_MATMAT_MULT_SYMBOLIC    = 64,
1943   MATOP_MATMAT_MULT_NUMERIC     = 65,
1944   MATOP_SET_LOCAL_TO_GLOBAL_MAP = 66,
1945   MATOP_SET_VALUES_LOCAL        = 67,
1946   MATOP_ZERO_ROWS_LOCAL         = 68,
1947   MATOP_GET_ROW_MAX_ABS         = 69,
1948   MATOP_GET_ROW_MIN_ABS         = 70,
1949   MATOP_CONVERT                 = 71,
1950   MATOP_HAS_OPERATION           = 72,
1951   /* MATOP_PLACEHOLDER_73=73, */
1952   MATOP_SET_VALUES_ADIFOR = 74,
1953   MATOP_FD_COLORING_APPLY = 75,
1954   MATOP_SET_FROM_OPTIONS  = 76,
1955   /* MATOP_PLACEHOLDER_77=77, */
1956   /* MATOP_PLACEHOLDER_78=78, */
1957   MATOP_FIND_ZERO_DIAGONALS       = 79,
1958   MATOP_MULT_MULTIPLE             = 80,
1959   MATOP_SOLVE_MULTIPLE            = 81,
1960   MATOP_GET_INERTIA               = 82,
1961   MATOP_LOAD                      = 83,
1962   MATOP_IS_SYMMETRIC              = 84,
1963   MATOP_IS_HERMITIAN              = 85,
1964   MATOP_IS_STRUCTURALLY_SYMMETRIC = 86,
1965   MATOP_SET_VALUES_BLOCKEDLOCAL   = 87,
1966   MATOP_CREATE_VECS               = 88,
1967   /* MATOP_PLACEHOLDER_89=89, */
1968   MATOP_MAT_MULT_SYMBOLIC = 90,
1969   MATOP_MAT_MULT_NUMERIC  = 91,
1970   /* MATOP_PLACEHOLDER_92=92, */
1971   MATOP_PTAP_SYMBOLIC = 93,
1972   MATOP_PTAP_NUMERIC  = 94,
1973   /* MATOP_PLACEHOLDER_95=95, */
1974   MATOP_MAT_TRANSPOSE_MULT_SYMBO = 96,
1975   MATOP_MAT_TRANSPOSE_MULT_NUMER = 97,
1976   MATOP_BIND_TO_CPU              = 98,
1977   MATOP_PRODUCTSETFROMOPTIONS    = 99,
1978   MATOP_PRODUCTSYMBOLIC          = 100,
1979   MATOP_PRODUCTNUMERIC           = 101,
1980   MATOP_CONJUGATE                = 102,
1981   MATOP_VIEW_NATIVE              = 103,
1982   MATOP_SET_VALUES_ROW           = 104,
1983   MATOP_REAL_PART                = 105,
1984   MATOP_IMAGINARY_PART           = 106,
1985   MATOP_GET_ROW_UPPER_TRIANGULAR = 107,
1986   MATOP_RESTORE_ROW_UPPER_TRIANG = 108,
1987   MATOP_MAT_SOLVE                = 109,
1988   MATOP_MAT_SOLVE_TRANSPOSE      = 110,
1989   MATOP_GET_ROW_MIN              = 111,
1990   MATOP_GET_COLUMN_VECTOR        = 112,
1991   MATOP_MISSING_DIAGONAL         = 113,
1992   MATOP_GET_SEQ_NONZERO_STRUCTUR = 114,
1993   MATOP_CREATE                   = 115,
1994   MATOP_GET_GHOSTS               = 116,
1995   MATOP_GET_LOCAL_SUB_MATRIX     = 117,
1996   MATOP_RESTORE_LOCALSUB_MATRIX  = 118,
1997   MATOP_MULT_DIAGONAL_BLOCK      = 119,
1998   MATOP_HERMITIAN_TRANSPOSE      = 120,
1999   MATOP_MULT_HERMITIAN_TRANSPOSE = 121,
2000   MATOP_MULT_HERMITIAN_TRANS_ADD = 122,
2001   MATOP_GET_MULTI_PROC_BLOCK     = 123,
2002   MATOP_FIND_NONZERO_ROWS        = 124,
2003   MATOP_GET_COLUMN_NORMS         = 125,
2004   MATOP_INVERT_BLOCK_DIAGONAL    = 126,
2005   MATOP_INVERT_VBLOCK_DIAGONAL   = 127,
2006   MATOP_CREATE_SUB_MATRICES_MPI  = 128,
2007   MATOP_SET_VALUES_BATCH         = 129,
2008   /* MATOP_PLACEHOLDER_130=130, */
2009   MATOP_TRANSPOSE_MAT_MULT_SYMBO = 131,
2010   MATOP_TRANSPOSE_MAT_MULT_NUMER = 132,
2011   MATOP_TRANSPOSE_COLORING_CREAT = 133,
2012   MATOP_TRANS_COLORING_APPLY_SPT = 134,
2013   MATOP_TRANS_COLORING_APPLY_DEN = 135,
2014   /* MATOP_PLACEHOLDER_136=136, */
2015   MATOP_RART_SYMBOLIC         = 137,
2016   MATOP_RART_NUMERIC          = 138,
2017   MATOP_SET_BLOCK_SIZES       = 139,
2018   MATOP_AYPX                  = 140,
2019   MATOP_RESIDUAL              = 141,
2020   MATOP_FDCOLORING_SETUP      = 142,
2021   MATOP_FIND_OFFBLOCK_ENTRIES = 143,
2022   MATOP_MPICONCATENATESEQ     = 144,
2023   MATOP_DESTROYSUBMATRICES    = 145,
2024   MATOP_TRANSPOSE_SOLVE       = 146,
2025   MATOP_GET_VALUES_LOCAL      = 147
2026 } MatOperation;
2027 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, void (*)(void));
2028 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, void (**)(void));
2029 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
2030 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
2031 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatProductClear()", ) static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
2032 {
2033   return MatProductClear(A);
2034 }
2035 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, void (*)(void));
2036 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, void (**)(void));
2037 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, void *);
2038 PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscErrorCode (*)(void *));
2039 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
2040 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2041 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2042 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
2043 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscErrorCode (*)(void *), MatType, MatType);
2044 PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);
2045 
2046 /*
2047    Codes for matrices stored on disk. By default they are
2048    stored in a universal format. By changing the format with
2049    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
2050    be stored in a way natural for the matrix, for example dense matrices
2051    would be stored as dense. Matrices stored this way may only be
2052    read into matrices of the same type.
2053 */
2054 #define MATRIX_BINARY_FORMAT_DENSE -1
2055 
2056 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);
2057 
2058 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
2059 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
2060 PETSC_EXTERN PetscErrorCode MatISSetAllowRepeated(Mat, PetscBool);
2061 PETSC_EXTERN PetscErrorCode MatISGetAllowRepeated(Mat, PetscBool *);
2062 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
2063 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
2064 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
2065 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
2066 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
2067 PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
2068 
2069 /*S
2070    MatNullSpace - Object that removes a null space from a vector, i.e.
2071                   orthogonalizes the vector to a subspace
2072 
2073    Level: advanced
2074 
2075 .seealso: [](ch_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2076 S*/
2077 typedef struct _p_MatNullSpace *MatNullSpace;
2078 
2079 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
2080 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, PetscErrorCode (*)(MatNullSpace, Vec, void *), void *);
2081 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
2082 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
2083 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
2084 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
2085 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
2086 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
2087 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
2088 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
2089 PETSC_EXTERN PetscErrorCode MatGetNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2090 PETSC_EXTERN PetscErrorCode MatRestoreNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2091 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
2092 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
2093 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
2094 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);
2095 
2096 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
2097 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
2098 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);
2099 
2100 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
2101 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
2102 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);
2103 
2104 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
2105 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);
2106 
2107 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperator()", ) static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
2108 {
2109   return MatComputeOperator(A, PETSC_NULLPTR, B);
2110 }
2111 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperatorTranspose()", ) static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
2112 {
2113   return MatComputeOperatorTranspose(A, PETSC_NULLPTR, B);
2114 }
2115 
2116 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
2117 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
2118 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
2119 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2120 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
2121 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
2122 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
2123 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2124 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
2125 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
2126 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
2127 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
2128 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
2129 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);
2130 
2131 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);
2132 
2133 PETSC_EXTERN PetscErrorCode MatMFFDInitializePackage(void);
2134 PETSC_EXTERN PetscErrorCode MatMFFDFinalizePackage(void);
2135 
2136 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2137 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
2138 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, PetscErrorCode (*)(void *, Vec, Vec), void *);
2139 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, PetscErrorCode (*)(void *, PetscInt, Vec, PetscScalar *));
2140 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, PetscErrorCode (*)(void *, Vec));
2141 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
2142 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
2143 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
2144 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
2145 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
2146 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
2147 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
2148 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, PetscErrorCode (*)(void *, Vec, Vec, PetscScalar *), void *);
2149 
2150 /*S
2151     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2152               Jacobian vector products
2153 
2154     Level: developer
2155 
2156     Notes:
2157     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure
2158 
2159      MatMFFD*() methods actually take the `Mat` as their first argument. Not a `MatMFFD` data structure
2160 
2161     This functionality is often obtained using `MatCreateSNESMF()` or with `SNES` solvers using `-snes_mf` or `-snes_mf_operator`
2162 
2163 .seealso: [](ch_matrices), `MatMFFDType`, `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`,
2164           `MatCreateSNESMF()`, `SNES`, `-snes_mf`, `-snes_mf_operator`
2165 S*/
2166 typedef struct _p_MatMFFD *MatMFFD;
2167 
2168 /*J
2169    MatMFFDType - algorithm used to compute the `h` used in computing matrix-vector products via differencing of a function
2170 
2171    Values:
2172 +   `MATMFFD_DS` - an algorithm described by Dennis and Schnabel {cite}`dennis:83`
2173 -   `MATMFFD_WP` - the Walker-Pernice {cite}`pw98` strategy.
2174 
2175    Level: beginner
2176 
2177 .seealso: [](ch_matrices), `MatMFFDSetType()`, `MatMFFDRegister()`, `MatMFFDSetFunction()`, `MatCreateMFFD()`
2178 J*/
2179 typedef const char *MatMFFDType;
2180 #define MATMFFD_DS "ds"
2181 #define MATMFFD_WP "wp"
2182 
2183 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2184 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));
2185 
2186 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2187 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);
2188 
2189 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);
2190 
2191 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2192 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
2193 
2194 #ifdef PETSC_HAVE_H2OPUS
2195 PETSC_EXTERN_TYPEDEF typedef PetscScalar(MatH2OpusKernelFn)(PetscInt, PetscReal[], PetscReal[], void *);
2196 PETSC_EXTERN_TYPEDEF typedef MatH2OpusKernelFn *MatH2OpusKernel;
2197 PETSC_EXTERN PetscErrorCode                     MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernelFn *, void *, PetscReal, PetscInt, PetscInt, Mat *);
2198 PETSC_EXTERN PetscErrorCode                     MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2199 PETSC_EXTERN PetscErrorCode                     MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2200 PETSC_EXTERN PetscErrorCode                     MatH2OpusOrthogonalize(Mat);
2201 PETSC_EXTERN PetscErrorCode                     MatH2OpusCompress(Mat, PetscReal);
2202 PETSC_EXTERN PetscErrorCode                     MatH2OpusSetNativeMult(Mat, PetscBool);
2203 PETSC_EXTERN PetscErrorCode                     MatH2OpusGetNativeMult(Mat, PetscBool *);
2204 PETSC_EXTERN PetscErrorCode                     MatH2OpusGetIndexMap(Mat, IS *);
2205 PETSC_EXTERN PetscErrorCode                     MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2206 PETSC_EXTERN PetscErrorCode                     MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2207 #endif
2208 
2209 #ifdef PETSC_HAVE_HTOOL
2210 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(MatHtoolKernelFn)(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2211 PETSC_EXTERN_TYPEDEF typedef MatHtoolKernelFn *MatHtoolKernel;
2212 PETSC_EXTERN PetscErrorCode                    MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernelFn *, void *, Mat *);
2213 PETSC_EXTERN PetscErrorCode                    MatHtoolSetKernel(Mat, MatHtoolKernelFn *, void *);
2214 PETSC_EXTERN PetscErrorCode                    MatHtoolGetPermutationSource(Mat, IS *);
2215 PETSC_EXTERN PetscErrorCode                    MatHtoolGetPermutationTarget(Mat, IS *);
2216 PETSC_EXTERN PetscErrorCode                    MatHtoolUsePermutation(Mat, PetscBool);
2217 
2218 /*E
2219    MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`
2220 
2221    Values:
2222 +  `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2223 .  `MAT_HTOOL_COMPRESSOR_FULL_ACA`                 - full adaptive cross approximation
2224 -  `MAT_HTOOL_COMPRESSOR_SVD`                      - singular value decomposition
2225 
2226    Level: intermediate
2227 
2228 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2229 E*/
2230 typedef enum {
2231   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2232   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2233   MAT_HTOOL_COMPRESSOR_SVD
2234 } MatHtoolCompressorType;
2235 
2236 /*E
2237    MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`
2238 
2239    Values:
2240 +  `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default)    - axis computed via principle component analysis, split uniformly
2241 .  `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC`            - axis computed via principle component analysis, split barycentrically
2242 .  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR`   - axis along the largest extent of the bounding box, split uniformly
2243 -  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically
2244 
2245    Level: intermediate
2246 
2247    Note:
2248    Higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
2249 
2250 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2251 E*/
2252 typedef enum {
2253   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2254   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2255   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2256   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2257 } MatHtoolClusteringType;
2258 #endif
2259 
2260 #ifdef PETSC_HAVE_MUMPS
2261 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2262 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2263 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2264 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);
2265 
2266 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2267 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2268 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2269 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2270 PETSC_EXTERN PetscErrorCode MatMumpsGetNullPivots(Mat, PetscInt *, PetscInt **);
2271 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2272 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2273 #endif
2274 
2275 #ifdef PETSC_HAVE_MKL_PARDISO
2276 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2277 #endif
2278 
2279 #ifdef PETSC_HAVE_MKL_CPARDISO
2280 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2281 #endif
2282 
2283 #ifdef PETSC_HAVE_SUPERLU
2284 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2285 #endif
2286 
2287 #ifdef PETSC_HAVE_SUPERLU_DIST
2288 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2289 #endif
2290 
2291 #ifdef PETSC_HAVE_STRUMPACK
2292 /*E
2293     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `MATSOLVERSTRUMPACK`
2294 
2295     Values:
2296 +  `MAT_STRUMPACK_NATURAL`   - use the current ordering
2297 .  `MAT_STRUMPACK_METIS`     - use MeTis to compute an ordering
2298 .  `MAT_STRUMPACK_PARMETIS`  - use ParMeTis to compute an ordering
2299 .  `MAT_STRUMPACK_SCOTCH`    - use Scotch to compute an ordering
2300 .  `MAT_STRUMPACK_PTSCOTCH`  - use parallel Scotch to compute an ordering
2301 .  `MAT_STRUMPACK_RCM`       - use an RCM ordering
2302 .  `MAT_STRUMPACK_GEOMETRIC` - use a geometric ordering (needs mesh info from user)
2303 .  `MAT_STRUMPACK_AMD`       - approximate minimum degree
2304 .  `MAT_STRUMPACK_MMD`       - multiple minimum degree
2305 .  `MAT_STRUMPACK_AND`       - approximate nested dissection
2306 .  `MAT_STRUMPACK_MLF`       - minimum local fill
2307 -  `MAT_STRUMPACK_SPECTRAL`  - spectral nested dissection
2308 
2309     Level: intermediate
2310 
2311     Developer Note:
2312     Should be called `MatSTRUMPACKReorderingType`
2313 
2314 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetReordering()`
2315 E*/
2316 typedef enum {
2317   MAT_STRUMPACK_NATURAL,
2318   MAT_STRUMPACK_METIS,
2319   MAT_STRUMPACK_PARMETIS,
2320   MAT_STRUMPACK_SCOTCH,
2321   MAT_STRUMPACK_PTSCOTCH,
2322   MAT_STRUMPACK_RCM,
2323   MAT_STRUMPACK_GEOMETRIC,
2324   MAT_STRUMPACK_AMD,
2325   MAT_STRUMPACK_MMD,
2326   MAT_STRUMPACK_AND,
2327   MAT_STRUMPACK_MLF,
2328   MAT_STRUMPACK_SPECTRAL
2329 } MatSTRUMPACKReordering;
2330 
2331 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2332 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetReordering(Mat, MatSTRUMPACKReordering *);
2333 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricNxyz(Mat, PetscInt, PetscInt, PetscInt);
2334 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricComponents(Mat, PetscInt);
2335 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricWidth(Mat, PetscInt);
2336 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2337 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetColPerm(Mat, PetscBool *);
2338 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGPU(Mat, PetscBool);
2339 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetGPU(Mat, PetscBool *);
2340 
2341 /*E
2342     MatSTRUMPACKCompressionType - Compression used in the approximate sparse factorization solver `MATSOLVERSTRUMPACK`
2343 
2344     Values:
2345 +  `MAT_STRUMPACK_COMPRESSION_TYPE_NONE`          - no compression, direct solver
2346 .  `MAT_STRUMPACK_COMPRESSION_TYPE_HSS`           - hierarchically semi-separable
2347 .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR`           - block low rank
2348 .  `MAT_STRUMPACK_COMPRESSION_TYPE_HODLR`         - hierarchically off-diagonal low rank (requires ButterfyPACK support, configure with --download-butterflypack)
2349 .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR`     - hybrid of BLR and HODLR (requires ButterfyPACK support, configure with --download-butterflypack)
2350 .  `MAT_STRUMPACK_COMPRESSION_TYPE_ZFP_BLR_HODLR` - hybrid of lossy (ZFP), BLR and HODLR (requires ButterfyPACK and ZFP support, configure with --download-butterflypack --download-zfp)
2351 .  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS`      - lossless compression (requires ZFP support, configure with --download-zfp)
2352 -  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY`         - lossy compression (requires ZFP support, configure with --download-zfp)
2353 
2354     Level: intermediate
2355 
2356 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetCompression()`
2357 E*/
2358 typedef enum {
2359   MAT_STRUMPACK_COMPRESSION_TYPE_NONE,
2360   MAT_STRUMPACK_COMPRESSION_TYPE_HSS,
2361   MAT_STRUMPACK_COMPRESSION_TYPE_BLR,
2362   MAT_STRUMPACK_COMPRESSION_TYPE_HODLR,
2363   MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR,
2364   MAT_STRUMPACK_COMPRESSION_TYPE_ZFP_BLR_HODLR,
2365   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS,
2366   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY
2367 } MatSTRUMPACKCompressionType;
2368 
2369 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompression(Mat, MatSTRUMPACKCompressionType);
2370 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompression(Mat, MatSTRUMPACKCompressionType *);
2371 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompRelTol(Mat, PetscReal);
2372 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompRelTol(Mat, PetscReal *);
2373 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompAbsTol(Mat, PetscReal);
2374 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompAbsTol(Mat, PetscReal *);
2375 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompMinSepSize(Mat, PetscInt);
2376 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompMinSepSize(Mat, PetscInt *);
2377 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLeafSize(Mat, PetscInt);
2378 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLeafSize(Mat, PetscInt *);
2379 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLossyPrecision(Mat, PetscInt);
2380 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLossyPrecision(Mat, PetscInt *);
2381 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompButterflyLevels(Mat, PetscInt);
2382 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompButterflyLevels(Mat, PetscInt *);
2383 #endif
2384 
2385 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2386 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2387 PETSC_DEPRECATED_FUNCTION(3, 13, 0, "MatBindToCPU()", ) static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2388 {
2389   return MatBindToCPU(A, flg);
2390 }
2391 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2392 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);
2393 
2394 #ifdef PETSC_HAVE_CUDA
2395 /*E
2396     MatCUSPARSEStorageFormat - indicates the storage format for `MATAIJCUSPARSE` (GPU)
2397     matrices.
2398 
2399     Values:
2400 +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2401 .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2402 -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2403 
2404     Level: intermediate
2405 
2406 .seealso: [](ch_matrices), `MATAIJCUSPARSE`, `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2407 E*/
2408 
2409 typedef enum {
2410   MAT_CUSPARSE_CSR,
2411   MAT_CUSPARSE_ELL,
2412   MAT_CUSPARSE_HYB
2413 } MatCUSPARSEStorageFormat;
2414 
2415 /* these will be strings associated with enumerated type defined above */
2416 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2417 
2418 /*E
2419     MatCUSPARSEFormatOperation - indicates the operation of `MATAIJCUSPARSE` (GPU)
2420     matrices whose operation should use a particular storage format.
2421 
2422     Values:
2423 +   `MAT_CUSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2424 .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2425 .   `MAT_CUSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2426 -   `MAT_CUSPARSE_ALL`          - sets the storage format for all `MATAIJCUSPARSE` (GPU) matrices
2427 
2428     Level: intermediate
2429 
2430 .seealso: [](ch_matrices), `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2431 E*/
2432 typedef enum {
2433   MAT_CUSPARSE_MULT_DIAG,
2434   MAT_CUSPARSE_MULT_OFFDIAG,
2435   MAT_CUSPARSE_MULT,
2436   MAT_CUSPARSE_ALL
2437 } MatCUSPARSEFormatOperation;
2438 
2439 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2440 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2441 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2442 PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2443 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2444 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2445 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2446 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2447 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2448 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2449 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2450 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);
2451 
2452 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2453 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2454 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2455 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2456 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2457 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2458 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2459 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2460 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2461 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2462 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2463 PETSC_EXTERN PetscErrorCode MatDenseCUDASetPreallocation(Mat, PetscScalar *);
2464 
2465 PETSC_EXTERN PetscErrorCode MatCreateSeqSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2466 PETSC_EXTERN PetscErrorCode MatCreateSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2467 #endif
2468 
2469 #ifdef PETSC_HAVE_HIP
2470 /*E
2471     MatHIPSPARSEStorageFormat - indicates the storage format for `MATAIJHIPSPARSE` (GPU)
2472     matrices.
2473 
2474     Values:
2475 +   `MAT_HIPSPARSE_CSR` - Compressed Sparse Row
2476 .   `MAT_HIPSPARSE_ELL` - Ellpack
2477 -   `MAT_HIPSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format
2478 
2479     Level: intermediate
2480 
2481 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
2482 E*/
2483 
2484 typedef enum {
2485   MAT_HIPSPARSE_CSR,
2486   MAT_HIPSPARSE_ELL,
2487   MAT_HIPSPARSE_HYB
2488 } MatHIPSPARSEStorageFormat;
2489 
2490 /* these will be strings associated with enumerated type defined above */
2491 PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];
2492 
2493 /*E
2494     MatHIPSPARSEFormatOperation - indicates the operation of `MATAIJHIPSPARSE` (GPU)
2495     matrices whose operation should use a particular storage format.
2496 
2497     Values:
2498 +   `MAT_HIPSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2499 .   `MAT_HIPSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2500 .   `MAT_HIPSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2501 -   `MAT_HIPSPARSE_ALL`          - sets the storage format for all HIPSPARSE (GPU) matrices
2502 
2503     Level: intermediate
2504 
2505 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
2506 E*/
2507 typedef enum {
2508   MAT_HIPSPARSE_MULT_DIAG,
2509   MAT_HIPSPARSE_MULT_OFFDIAG,
2510   MAT_HIPSPARSE_MULT,
2511   MAT_HIPSPARSE_ALL
2512 } MatHIPSPARSEFormatOperation;
2513 
2514 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2515 PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2516 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
2517 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
2518 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2519 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2520 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
2521 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
2522 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
2523 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
2524 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
2525 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);
2526 
2527 PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2528 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2529 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
2530 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
2531 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
2532 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
2533 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
2534 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
2535 PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
2536 PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
2537 PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);
2538 PETSC_EXTERN PetscErrorCode MatDenseHIPSetPreallocation(Mat, PetscScalar *);
2539 PETSC_EXTERN PetscErrorCode MatCreateSeqSELLHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2540 PETSC_EXTERN PetscErrorCode MatCreateSELLHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2541 #endif
2542 
2543 #if defined(PETSC_HAVE_VIENNACL)
2544 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2545 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2546 #endif
2547 
2548 #if PetscDefined(HAVE_KOKKOS)
2549 PETSC_EXTERN PetscErrorCode MatCreateAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2550 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2551 #endif
2552 
2553 #if defined(PETSC_HAVE_FFTW)
2554 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2555 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2556 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2557 #endif
2558 
2559 #if defined(PETSC_HAVE_SCALAPACK)
2560 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2561 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2562 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2563 #endif
2564 
2565 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2566 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2567 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2568 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2569 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2570 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2571 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2572 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2573 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);
2574 
2575 PETSC_EXTERN PetscErrorCode MatFilter(Mat, PetscReal, PetscBool, PetscBool);
2576 PETSC_DEPRECATED_FUNCTION(3, 20, 0, "MatFilter()", ) static inline PetscErrorCode MatChop(Mat A, PetscReal tol)
2577 {
2578   return MatFilter(A, tol, PETSC_FALSE, PETSC_FALSE);
2579 }
2580 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);
2581 
2582 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);
2583 
2584 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);
2585 
2586 PETSC_EXTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2587 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);
2588 
2589 PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);
2590 
2591 PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, PetscInt, PetscInt[], Mat *);
2592 PETSC_EXTERN PetscErrorCode MatEliminateZeros(Mat, PetscBool);
2593 
2594 PETSC_EXTERN PetscErrorCode MatCreateDenseFromVecType(MPI_Comm, VecType, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar *, Mat *);
2595 
2596 PETSC_EXTERN PetscErrorCode MatSetHPL(Mat, int);
2597 #define PETSCBMHPL "hpl"
2598