xref: /petsc/include/petscmat.h (revision e0b7e82fd3cf27fce84cc3e37e8d70a5c36a2d4e)
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 MatGetState(Mat, PetscObjectState *);
377 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat, PetscBool);
378 
379 PETSC_EXTERN PetscFunctionList MatList;
380 PETSC_EXTERN PetscFunctionList MatColoringList;
381 PETSC_EXTERN PetscFunctionList MatPartitioningList;
382 
383 /*E
384    MatStructure - Indicates if two matrices have the same nonzero structure
385 
386    Values:
387 +  `SAME_NONZERO_PATTERN`      - the two matrices have identical nonzero patterns
388 .  `DIFFERENT_NONZERO_PATTERN` - the two matrices may have different nonzero patterns
389 .  `SUBSET_NONZERO_PATTERN`    - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
390 -  `UNKNOWN_NONZERO_PATTERN`   - there is no known relationship between the nonzero patterns. In this case the implementations
391                                  may try to detect a relationship to optimize the operation
392 
393    Level: beginner
394 
395    Note:
396    Certain matrix operations (such as `MatAXPY()`) can run much faster if the sparsity pattern of the matrices are the same. But actually determining if
397    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
398    to certain PETSc routines.
399 
400 .seealso: [](ch_matrices), `Mat`, `MatCopy()`, `MatAXPY()`, `MatAYPX()`
401 E*/
402 typedef enum {
403   DIFFERENT_NONZERO_PATTERN,
404   SUBSET_NONZERO_PATTERN,
405   SAME_NONZERO_PATTERN,
406   UNKNOWN_NONZERO_PATTERN
407 } MatStructure;
408 PETSC_EXTERN const char *const MatStructures[];
409 
410 #if defined PETSC_HAVE_MKL_SPARSE
411 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
412 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
413 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
414 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
415 #endif
416 
417 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJPERM(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
418 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJPERM(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
419 
420 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
421 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
422 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat, PetscInt, const PetscInt[]);
423 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
424 PETSC_EXTERN PetscErrorCode MatSeqSELLGetFillRatio(Mat, PetscReal *);
425 PETSC_EXTERN PetscErrorCode MatSeqSELLGetMaxSliceWidth(Mat, PetscInt *);
426 PETSC_EXTERN PetscErrorCode MatSeqSELLGetAvgSliceWidth(Mat, PetscReal *);
427 PETSC_EXTERN PetscErrorCode MatSeqSELLSetSliceHeight(Mat, PetscInt);
428 PETSC_EXTERN PetscErrorCode MatSeqSELLGetVarSliceSize(Mat, PetscReal *);
429 
430 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
431 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
432 PETSC_EXTERN PetscErrorCode MatMPISELLGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
433 PETSC_EXTERN PetscErrorCode MatMPISELLGetSeqSELL(Mat, Mat *, Mat *, const PetscInt *[]);
434 
435 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
436 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
437 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
438 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
439 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
440 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
441 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArray(Mat, const PetscScalar[]);
442 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], PetscInt[], PetscInt[], PetscScalar[], Mat *);
443 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm, Mat, Mat, const PetscInt[], Mat *);
444 
445 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
446 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
447 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
448 
449 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat, PetscCount, PetscInt[], PetscInt[]);
450 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat, PetscCount, PetscInt[], PetscInt[]);
451 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat, const PetscScalar[], InsertMode);
452 
453 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscInt[], Mat *);
454 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
455 
456 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
457 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
458 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
459 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
460 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], const PetscInt[]);
461 
462 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, void *, Mat *);
463 PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm, PetscInt, PetscInt, Mat *);
464 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat, Mat *);
465 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat, Mat *);
466 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat, Mat, Vec, Mat, Mat *);
467 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat, Mat *, Mat *, Vec *, Mat *);
468 PETSC_EXTERN PetscErrorCode MatLRCSetMats(Mat, Mat, Mat, Vec, Mat);
469 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, ISLocalToGlobalMapping, ISLocalToGlobalMapping, Mat *);
470 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
471 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
472 
473 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm, VecScatter, Mat *);
474 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat, VecScatter);
475 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat, VecScatter *);
476 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt *, Mat *);
477 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat, Mat);
478 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
479 typedef enum {
480   MAT_COMPOSITE_MERGE_RIGHT,
481   MAT_COMPOSITE_MERGE_LEFT
482 } MatCompositeMergeType;
483 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat, MatCompositeMergeType);
484 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm, PetscInt, const Mat *, Mat *);
485 /*E
486     MatCompositeType - indicates what type of `MATCOMPOSITE` is used
487 
488     Values:
489 +  `MAT_COMPOSITE_ADDITIVE`       - sum of matrices (default)
490 -  `MAT_COMPOSITE_MULTIPLICATIVE` - product of matrices
491 
492     Level: beginner
493 
494 .seealso: [](ch_matrices), `MATCOMPOSITE`, `MatCompositeSetType()`, `MatCompositeGetType()`
495 E*/
496 typedef enum {
497   MAT_COMPOSITE_ADDITIVE,
498   MAT_COMPOSITE_MULTIPLICATIVE
499 } MatCompositeType;
500 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat, MatCompositeType);
501 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat, MatCompositeType *);
502 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat, MatStructure);
503 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat, MatStructure *);
504 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat, PetscInt *);
505 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat, PetscInt, Mat *);
506 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat, const PetscScalar *);
507 
508 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm, PetscInt, const PetscInt[], MatType, Mat *);
509 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm, PetscInt, const PetscInt[], Mat *);
510 
511 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat, Mat *);
512 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat, Mat *);
513 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat, Mat *);
514 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat, Mat *);
515 PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat, Mat *);
516 PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat, Mat *);
517 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat, IS, IS, Mat *);
518 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat, Mat, IS, IS);
519 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat, IS, IS, Mat *);
520 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar, Mat *);
521 PETSC_EXTERN PetscErrorCode MatCreateDiagonal(Vec, Mat *);
522 PETSC_EXTERN PetscErrorCode MatDiagonalGetDiagonal(Mat, Vec *);
523 PETSC_EXTERN PetscErrorCode MatDiagonalRestoreDiagonal(Mat, Vec *);
524 PETSC_EXTERN PetscErrorCode MatDiagonalGetInverseDiagonal(Mat, Vec *);
525 PETSC_EXTERN PetscErrorCode MatDiagonalRestoreInverseDiagonal(Mat, Vec *);
526 
527 #if defined(PETSC_HAVE_HYPRE)
528 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
529 #endif
530 
531 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat, const char[]);
532 PETSC_EXTERN PetscErrorCode MatPythonGetType(Mat, const char *[]);
533 PETSC_EXTERN PetscErrorCode MatPythonCreate(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const char[], Mat *);
534 
535 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
536 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
537 PETSC_EXTERN PetscErrorCode MatDestroy(Mat *);
538 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat, PetscObjectState *);
539 
540 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
541 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
542 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
543 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat, Mat *);
544 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat, PetscScalar *);
545 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat, const PetscScalar **);
546 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat, PetscInt, const PetscInt *, PetscScalar *);
547 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat, Mat);
548 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat, MatReuse, Mat *);
549 PETSC_EXTERN PetscErrorCode MatComputeVariableBlockEnvelope(Mat);
550 
551 PETSC_EXTERN PetscErrorCode MatSetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
552 PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat, IS, IS, const PetscScalar[], InsertMode);
553 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
554 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat, PetscInt, const PetscScalar[]);
555 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat, PetscInt, const PetscScalar[]);
556 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt[], const PetscScalar[]);
557 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat, PetscRandom);
558 
559 /*S
560    MatStencil - Data structure (C struct) for storing information about rows and
561    columns of a matrix as indexed on an associated grid. These are arguments to `MatSetStencil()` and `MatSetBlockStencil()`
562 
563    Level: beginner
564 
565    Notes:
566    The i,j, and k represent the logical coordinates over the entire grid (for 2 and 1 dimensional problems the k and j entries are ignored).
567    The c represents the degrees of freedom at each grid point (the dof argument to `DMDASetDOF()`). If dof is 1 then this entry is ignored.
568 
569    For stencil access to vectors see `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`.
570 
571    For staggered grids, see `DMStagStencil`
572 
573    Fortran Note:
574    See `MatSetValuesStencil()` for details.
575 
576 .seealso: [](ch_matrices), `Mat`, `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`,
577           `DMStagStencil`
578 S*/
579 typedef struct {
580   PetscInt k, j, i, c;
581 } MatStencil;
582 
583 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
584 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
585 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat, PetscInt, const PetscInt[], const PetscInt[], PetscInt);
586 
587 /*E
588     MatAssemblyType - Indicates if the process of setting values into the matrix is complete, and the matrix is ready for use
589 
590     Values:
591 +   `MAT_FLUSH_ASSEMBLY` - you will continue to put values into the matrix
592 -   `MAT_FINAL_ASSEMBLY` - you wish to use the matrix with the values currently inserted
593 
594     Level: beginner
595 
596 .seealso: [](ch_matrices), `Mat`, `MatSetValues`, `MatAssemblyBegin()`, `MatAssemblyEnd()`
597 E*/
598 typedef enum {
599   MAT_FLUSH_ASSEMBLY = 1,
600   MAT_FINAL_ASSEMBLY = 0
601 } MatAssemblyType;
602 
603 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat, MatAssemblyType);
604 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat, MatAssemblyType);
605 PETSC_EXTERN PetscErrorCode MatAssembled(Mat, PetscBool *);
606 
607 /*E
608    MatOption - Options that may be set for a matrix that indicate properties of the matrix or affect its behavior or storage
609 
610    Level: beginner
611 
612    Note:
613    See `MatSetOption()` for the use of the options
614 
615    Developer Note:
616    Entries that are negative need not be called collectively by all processes.
617 
618 .seealso: [](ch_matrices), `Mat`, `MatSetOption()`
619 E*/
620 typedef enum {
621   MAT_OPTION_MIN                  = -3,
622   MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
623   MAT_ROW_ORIENTED                = -1,
624   MAT_SYMMETRIC                   = 1,
625   MAT_STRUCTURALLY_SYMMETRIC      = 2,
626   MAT_FORCE_DIAGONAL_ENTRIES      = 3,
627   MAT_IGNORE_OFF_PROC_ENTRIES     = 4,
628   MAT_USE_HASH_TABLE              = 5,
629   MAT_KEEP_NONZERO_PATTERN        = 6,
630   MAT_IGNORE_ZERO_ENTRIES         = 7,
631   MAT_USE_INODES                  = 8,
632   MAT_HERMITIAN                   = 9,
633   MAT_SYMMETRY_ETERNAL            = 10,
634   MAT_NEW_NONZERO_LOCATION_ERR    = 11,
635   MAT_IGNORE_LOWER_TRIANGULAR     = 12,
636   MAT_ERROR_LOWER_TRIANGULAR      = 13,
637   MAT_GETROW_UPPERTRIANGULAR      = 14,
638   MAT_SPD                         = 15,
639   MAT_NO_OFF_PROC_ZERO_ROWS       = 16,
640   MAT_NO_OFF_PROC_ENTRIES         = 17,
641   MAT_NEW_NONZERO_LOCATIONS       = 18,
642   MAT_NEW_NONZERO_ALLOCATION_ERR  = 19,
643   MAT_SUBSET_OFF_PROC_ENTRIES     = 20,
644   MAT_SUBMAT_SINGLEIS             = 21,
645   MAT_STRUCTURE_ONLY              = 22,
646   MAT_SORTED_FULL                 = 23,
647   MAT_FORM_EXPLICIT_TRANSPOSE     = 24,
648   MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
649   MAT_SPD_ETERNAL                 = 26,
650   MAT_OPTION_MAX                  = 27
651 } MatOption;
652 
653 PETSC_EXTERN const char *const *MatOptions;
654 PETSC_EXTERN PetscErrorCode     MatSetOption(Mat, MatOption, PetscBool);
655 PETSC_EXTERN PetscErrorCode     MatGetOption(Mat, MatOption, PetscBool *);
656 PETSC_EXTERN PetscErrorCode     MatPropagateSymmetryOptions(Mat, Mat);
657 PETSC_EXTERN PetscErrorCode     MatGetType(Mat, MatType *);
658 
659 PETSC_EXTERN PetscErrorCode    MatGetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
660 PETSC_EXTERN PetscErrorCode    MatGetRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
661 PETSC_EXTERN PetscErrorCode    MatRestoreRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
662 PETSC_EXTERN PetscErrorCode    MatGetRowUpperTriangular(Mat);
663 PETSC_EXTERN PetscErrorCode    MatRestoreRowUpperTriangular(Mat);
664 PETSC_EXTERN PetscErrorCode    MatGetColumnVector(Mat, Vec, PetscInt);
665 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArray(Mat, PetscScalar *[]);
666 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayRead(Mat, const PetscScalar *[]);
667 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayWrite(Mat, PetscScalar *[]);
668 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArray(Mat, PetscScalar *[]);
669 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayRead(Mat, const PetscScalar *[]);
670 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayWrite(Mat, PetscScalar *[]);
671 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetMaxRowNonzeros(Mat, PetscInt *);
672 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetValuesLocalFast(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
673 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetType(Mat, MatType);
674 PETSC_EXTERN PetscErrorCode    MatSeqAIJKron(Mat, Mat, MatReuse, Mat *);
675 PETSC_EXTERN PetscErrorCode    MatSeqAIJRegister(const char[], PetscErrorCode (*)(Mat, MatType, MatReuse, Mat *));
676 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
677 PETSC_EXTERN PetscErrorCode    MatSeqBAIJGetArray(Mat, PetscScalar *[]);
678 PETSC_EXTERN PetscErrorCode    MatSeqBAIJRestoreArray(Mat, PetscScalar *[]);
679 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJGetArray(Mat, PetscScalar *[]);
680 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJRestoreArray(Mat, PetscScalar *[]);
681 PETSC_EXTERN PetscErrorCode    MatDenseGetArray(Mat, PetscScalar *[]);
682 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArray(Mat, PetscScalar *[]);
683 PETSC_EXTERN PetscErrorCode    MatDensePlaceArray(Mat, const PetscScalar[]);
684 PETSC_EXTERN PetscErrorCode    MatDenseReplaceArray(Mat, const PetscScalar[]);
685 PETSC_EXTERN PetscErrorCode    MatDenseResetArray(Mat);
686 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayRead(Mat, const PetscScalar *[]);
687 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayRead(Mat, const PetscScalar *[]);
688 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWrite(Mat, PetscScalar *[]);
689 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWrite(Mat, PetscScalar *[]);
690 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayAndMemType(Mat, PetscScalar *[], PetscMemType *);
691 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayAndMemType(Mat, PetscScalar *[]);
692 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayReadAndMemType(Mat, const PetscScalar *[], PetscMemType *);
693 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayReadAndMemType(Mat, const PetscScalar *[]);
694 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWriteAndMemType(Mat, PetscScalar *[], PetscMemType *);
695 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWriteAndMemType(Mat, PetscScalar *[]);
696 PETSC_EXTERN PetscErrorCode    MatGetBlockSize(Mat, PetscInt *);
697 PETSC_EXTERN PetscErrorCode    MatSetBlockSize(Mat, PetscInt);
698 PETSC_EXTERN PetscErrorCode    MatGetBlockSizes(Mat, PetscInt *, PetscInt *);
699 PETSC_EXTERN PetscErrorCode    MatSetBlockSizes(Mat, PetscInt, PetscInt);
700 PETSC_EXTERN PetscErrorCode    MatSetBlockSizesFromMats(Mat, Mat, Mat);
701 PETSC_EXTERN PetscErrorCode    MatSetVariableBlockSizes(Mat, PetscInt, const PetscInt[]);
702 PETSC_EXTERN PetscErrorCode    MatGetVariableBlockSizes(Mat, PetscInt *, const PetscInt *[]);
703 
704 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat, PetscInt, PetscScalar *[]);
705 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat, PetscScalar *[]);
706 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat, PetscInt, Vec *);
707 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat, PetscInt, Vec *);
708 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat, PetscInt, Vec *);
709 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat, PetscInt, Vec *);
710 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat, PetscInt, Vec *);
711 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat, PetscInt, Vec *);
712 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
713 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat, Mat *);
714 
715 PETSC_EXTERN PetscErrorCode MatMult(Mat, Vec, Vec);
716 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat, Vec, Vec);
717 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat, Vec, Vec, Vec);
718 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat, Vec, Vec);
719 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat, Vec, Vec);
720 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat, Mat, PetscReal, PetscBool *);
721 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat, Mat, PetscReal, PetscBool *);
722 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat, Vec, Vec, Vec);
723 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat, Vec, Vec, Vec);
724 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat, Mat, Mat);
725 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat, Mat, Mat);
726 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat, Mat, Mat);
727 PETSC_EXTERN PetscErrorCode MatResidual(Mat, Vec, Vec, Vec);
728 
729 /*E
730   MatDuplicateOption - Indicates if a duplicated sparse matrix should have
731   its numerical values copied over or just its nonzero structure.
732 
733   Values:
734 + `MAT_DO_NOT_COPY_VALUES`    - Create a matrix using the same nonzero pattern as the original matrix,
735                                 with zeros for the numerical values
736 . `MAT_COPY_VALUES`           - Create a matrix with the same nonzero pattern as the original matrix
737                                 and with the same numerical values.
738 - `MAT_SHARE_NONZERO_PATTERN` - Create a matrix that shares the nonzero structure with the previous matrix
739                                 and does not copy it, using zeros for the numerical values. The parent and
740                                 child matrices will share their index (i and j) arrays, and you cannot
741                                 insert new nonzero entries into either matrix
742 
743   Level: beginner
744 
745   Note:
746   Many matrix types (including `MATSEQAIJ`) do not support the `MAT_SHARE_NONZERO_PATTERN` optimization; in
747   this case the behavior is as if `MAT_DO_NOT_COPY_VALUES` has been specified.
748 
749 .seealso: [](ch_matrices), `Mat`, `MatDuplicate()`
750 E*/
751 typedef enum {
752   MAT_DO_NOT_COPY_VALUES,
753   MAT_COPY_VALUES,
754   MAT_SHARE_NONZERO_PATTERN
755 } MatDuplicateOption;
756 
757 PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
758 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);
759 
760 PETSC_EXTERN PetscErrorCode MatCopy(Mat, Mat, MatStructure);
761 PETSC_EXTERN PetscErrorCode MatView(Mat, PetscViewer);
762 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat, PetscReal, PetscBool *);
763 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat, PetscBool *);
764 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat, PetscReal, PetscBool *);
765 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat, PetscBool *, PetscBool *);
766 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat, PetscBool *, PetscBool *);
767 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat, PetscBool *, PetscBool *);
768 PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat, PetscBool *, PetscBool *);
769 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat, PetscBool *, PetscInt *);
770 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
771 
772 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
773 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
774 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
775 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
776 
777 /*S
778    MatInfo - Context of matrix information, used with `MatGetInfo()`
779 
780    Level: intermediate
781 
782    Fortran Note:
783    Information is stored as a double-precision array of dimension `MAT_INFO_SIZE`
784 
785 .seealso: [](ch_matrices), `Mat`, `MatGetInfo()`, `MatInfoType`
786 S*/
787 typedef struct {
788   PetscLogDouble block_size;                          /* block size */
789   PetscLogDouble nz_allocated, nz_used, nz_unneeded;  /* number of nonzeros */
790   PetscLogDouble memory;                              /* memory allocated */
791   PetscLogDouble assemblies;                          /* number of matrix assemblies called */
792   PetscLogDouble mallocs;                             /* number of mallocs during MatSetValues() */
793   PetscLogDouble fill_ratio_given, fill_ratio_needed; /* fill ratio for LU/ILU */
794   PetscLogDouble factor_mallocs;                      /* number of mallocs during factorization */
795 } MatInfo;
796 
797 /*E
798     MatInfoType - Indicates if you want information about the local part of the matrix,
799     the entire parallel matrix or the maximum over all the local parts.
800 
801     Values:
802 +   `MAT_LOCAL`      - values for each MPI process part of the matrix
803 .   `MAT_GLOBAL_MAX` - maximum of each value over all MPI processes
804 -   `MAT_GLOBAL_SUM` - sum of each value over all MPI processes
805 
806     Level: beginner
807 
808 .seealso: [](ch_matrices), `MatGetInfo()`, `MatInfo`
809 E*/
810 typedef enum {
811   MAT_LOCAL      = 1,
812   MAT_GLOBAL_MAX = 2,
813   MAT_GLOBAL_SUM = 3
814 } MatInfoType;
815 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat, MatInfoType, MatInfo *);
816 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat, Vec);
817 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat, Vec, PetscInt[]);
818 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat, Vec, PetscInt[]);
819 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat, Vec, PetscInt[]);
820 PETSC_EXTERN PetscErrorCode MatGetRowSumAbs(Mat, Vec);
821 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat, Vec, PetscInt[]);
822 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat, Vec);
823 PETSC_EXTERN PetscErrorCode MatTranspose(Mat, MatReuse, Mat *);
824 PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat, Mat *);
825 PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat, Mat);
826 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat, MatReuse, Mat *);
827 PETSC_EXTERN PetscErrorCode MatPermute(Mat, IS, IS, Mat *);
828 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat, Vec, Vec);
829 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat, Vec, InsertMode);
830 
831 PETSC_EXTERN PetscErrorCode MatEqual(Mat, Mat, PetscBool *);
832 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat, Mat, PetscInt, PetscBool *);
833 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat, Mat, PetscInt, PetscBool *);
834 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
835 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
836 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
837 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
838 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
839 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
840 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
841 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
842 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
843 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat, PetscInt, PetscBool *);
844 
845 PETSC_EXTERN PetscErrorCode MatNorm(Mat, NormType, PetscReal *);
846 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat, NormType, PetscReal *);
847 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat, PetscScalar *);
848 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat, PetscReal *);
849 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat, PetscReal *);
850 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat, PetscScalar *);
851 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat, PetscReal *);
852 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat, PetscReal *);
853 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat, PetscInt, PetscReal *);
854 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
855 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
856 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
857 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat, IS, PetscScalar, Vec, Vec);
858 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
859 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
860 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
861 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat, IS, PetscScalar, Vec, Vec);
862 
863 PETSC_EXTERN PetscErrorCode MatGetSize(Mat, PetscInt *, PetscInt *);
864 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat, PetscInt *, PetscInt *);
865 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat, PetscInt *, PetscInt *);
866 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat, const PetscInt **);
867 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat, PetscInt *, PetscInt *);
868 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat, const PetscInt **);
869 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat, IS *, IS *);
870 
871 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
872 PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatrices()", ) static inline PetscErrorCode MatGetSubMatrices(Mat mat, PetscInt n, const IS irow[], const IS icol[], MatReuse scall, Mat *submat[])
873 {
874   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
875 }
876 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
877 PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatricesMPI()", ) static inline PetscErrorCode MatGetSubMatricesMPI(Mat mat, PetscInt n, const IS irow[], const IS icol[], MatReuse scall, Mat *submat[])
878 {
879   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
880 }
881 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
882 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
883 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
884 PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatrix()", ) static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat)
885 {
886   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
887 }
888 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
889 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
890 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
891 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);
892 
893 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm, Mat, PetscInt, PetscInt, MatReuse, Mat *);
894 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm, Mat, PetscInt, PetscInt, Mat *);
895 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat, Mat);
896 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat, MatReuse, Mat *);
897 PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat, Mat *);
898 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
899 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat, MatReuse, IS *, Mat *);
900 PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat, PetscCount *);
901 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat, Mat, MatReuse, IS *, IS *, Mat *);
902 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *, const PetscInt *[]);
903 
904 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
905 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat, PetscInt n, IS is[], PetscInt ov);
906 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);
907 
908 PETSC_EXTERN PetscErrorCode MatMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
909 
910 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
911 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
912 
913 PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
914 PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);
915 
916 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
917 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);
918 
919 PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
920 PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);
921 
922 PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
923 PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);
924 
925 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping, ISLocalToGlobalMapping);
926 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
927 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat, PetscLayout *, PetscLayout *);
928 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat, PetscLayout, PetscLayout);
929 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
930 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
931 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
932 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
933 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
934 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
935 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
936 
937 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
938 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);
939 
940 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat, Vec, Vec);
941 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat, Vec, Vec, Vec);
942 PETSC_EXTERN PetscErrorCode MatRestrict(Mat, Vec, Vec);
943 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat, Mat, Mat *);
944 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat, Mat, Mat, Mat *);
945 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat, Mat, Mat *);
946 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat, Vec *, Vec *);
947 PETSC_DEPRECATED_FUNCTION(3, 6, 0, "MatCreateVecs()", ) static inline PetscErrorCode MatGetVecs(Mat mat, Vec *x, Vec *y)
948 {
949   return MatCreateVecs(mat, x, y);
950 }
951 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat, PetscInt, MPI_Comm, MatReuse, Mat *);
952 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat, MPI_Comm, MatReuse, Mat *);
953 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat, IS *);
954 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat, IS *);
955 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm, Mat, PetscInt, MatReuse, Mat *);
956 
957 /*@C
958    MatSetValue - Set a single entry into a matrix.
959 
960    Not Collective
961 
962    Input Parameters:
963 +  mat  - the matrix
964 .  i    - the row location of the entry
965 .  j    - the column location of the entry
966 .  va   - the value to insert
967 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
968 
969    Level: beginner
970 
971    Notes:
972    This value may be cached, so `MatAssemblyBegin()` and `MatAssemblyEnd()`
973    MUST be called after all calls to `MatSetValue()` have been completed.
974 
975    For efficiency one should use `MatSetValues()` and set several values simultaneously.
976 
977 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `InsertMode`, `MatGetValue()`, `MatSetValues()`,
978           `MatSetValueLocal()`, `MatSetValuesLocal()`
979 @*/
980 static inline PetscErrorCode MatSetValue(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
981 {
982   return MatSetValues(mat, 1, &i, 1, &j, &va, mode);
983 }
984 
985 /*@C
986    MatGetValue - Gets a single value from a matrix
987 
988    Not Collective; can only return a value owned by the given process
989 
990    Input Parameters:
991 +  mat - the matrix
992 .  row - the row location of the entry
993 -  col - the column location of the entry
994 
995    Output Parameter:
996 .  va - the value
997 
998    Level: advanced
999 
1000    Notes:
1001    The matrix must have been assembled with `MatAssemblyBegin()` and `MatAssemblyEnd()` before this call
1002 
1003    For efficiency one should use `MatGetValues()` and get several values simultaneously.
1004 
1005    See notes for `MatGetValues()`.
1006 
1007 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
1008 @*/
1009 static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
1010 {
1011   return MatGetValues(mat, 1, &row, 1, &col, va);
1012 }
1013 
1014 /*@C
1015    MatSetValueLocal - Inserts or adds a single value into a matrix, using a local numbering of the nodes.
1016 
1017    Not Collective
1018 
1019    Input Parameters:
1020 +  mat  - the matrix
1021 .  i    - the row location of the entry
1022 .  j    - the column location of the entry
1023 .  va   - the value to insert
1024 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
1025 
1026    Level: intermediate
1027 
1028    Notes:
1029    For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.
1030 
1031    See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.
1032 
1033 .seealso: [](ch_matrices), `MatSetValue()`, `MatSetValuesLocal()`
1034 @*/
1035 static inline PetscErrorCode MatSetValueLocal(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
1036 {
1037   return MatSetValuesLocal(mat, 1, &i, 1, &j, &va, mode);
1038 }
1039 
1040 /*MC
1041    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
1042    row in a matrix providing the data that one can use to correctly preallocate the matrix.
1043 
1044    Synopsis:
1045    #include <petscmat.h>
1046    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
1047 
1048    Collective
1049 
1050    Input Parameters:
1051 +  comm  - the communicator that will share the eventually allocated matrix
1052 .  nrows - the number of LOCAL rows in the matrix
1053 -  ncols - the number of LOCAL columns in the matrix
1054 
1055    Output Parameters:
1056 +  dnz - the array that will be passed to the matrix preallocation routines
1057 -  onz - the other array passed to the matrix preallocation routines
1058 
1059    Level: deprecated (since v3.19)
1060 
1061    Notes:
1062    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1063    the use of this routine
1064 
1065    This is a macro that handles its own error checking, it does not return an error code.
1066 
1067    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1068 
1069    Developer Note:
1070    This is a MACRO, not a function, because it has a leading { that is closed by `PetscPreallocateFinalize()`.
1071 
1072 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1073           `MatPreallocateSymmetricSetLocalBlock()`
1074 M*/
1075 #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
1076   do { \
1077     PetscInt              __nrows = (nrows), __ncols = (ncols), __rstart, __end = 0; \
1078     PetscInt PETSC_UNUSED __start; \
1079     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
1080     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
1081     __start = __end - __ncols; \
1082     (void)__start; \
1083     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
1084   __rstart -= __nrows
1085 
1086 #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateBegin()", ) MatPreallocateBegin(__VA_ARGS__)
1087 
1088 /*MC
1089    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1090    inserted using a local number of the rows and columns
1091 
1092    Synopsis:
1093    #include <petscmat.h>
1094    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1095 
1096    Not Collective
1097 
1098    Input Parameters:
1099 +  map   - the row mapping from local numbering to global numbering
1100 .  nrows - the number of rows indicated
1101 .  rows  - the indices of the rows
1102 .  cmap  - the column mapping from local to global numbering
1103 .  ncols - the number of columns in the matrix
1104 .  cols  - the columns indicated
1105 .  dnz   - the array that will be passed to the matrix preallocation routines
1106 -  onz   - the other array passed to the matrix preallocation routines
1107 
1108    Level: deprecated (since v3.19)
1109 
1110    Notes:
1111    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1112    the use of this routine
1113 
1114    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1115 
1116 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1117           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
1118 M*/
1119 #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1120   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));)
1121 
1122 /*MC
1123    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1124    inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
1125 
1126    Synopsis:
1127    #include <petscmat.h>
1128    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1129 
1130    Not Collective
1131 
1132    Input Parameters:
1133 +  map   - the row mapping from local numbering to global numbering
1134 .  nrows - the number of rows indicated
1135 .  rows  - the indices of the rows (these values are mapped to the global values)
1136 .  cmap  - the column mapping from local to global numbering
1137 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1138 .  cols  - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1139 .  dnz   - the array that will be passed to the matrix preallocation routines
1140 -  onz   - the other array passed to the matrix preallocation routines
1141 
1142    Level: deprecated (since v3.19)
1143 
1144    Notes:
1145    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1146    the use of this routine
1147 
1148    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1149 
1150 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1151           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1152 M*/
1153 #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1154   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));)
1155 
1156 /*MC
1157    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1158    inserted using a local number of the rows and columns
1159 
1160    Synopsis:
1161    #include <petscmat.h>
1162    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1163 
1164    Not Collective
1165 
1166    Input Parameters:
1167 +  map   - the row mapping from local numbering to global numbering
1168 .  nrows - the number of rows indicated
1169 .  rows  - the indices of the rows
1170 .  cmap  - the column mapping from local to global numbering
1171 .  ncols - the number of columns in the matrix
1172 .  cols  - the columns indicated
1173 .  dnz   - the array that will be passed to the matrix preallocation routines
1174 -  onz   - the other array passed to the matrix preallocation routines
1175 
1176    Level: deprecated (since v3.19)
1177 
1178    Notes:
1179    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1180    the use of this routine
1181 
1182    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1183 
1184 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1185           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1186 M*/
1187 #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1188   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));)
1189 
1190 /*MC
1191    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1192    inserted using a local number of the rows and columns
1193 
1194    Synopsis:
1195    #include <petscmat.h>
1196    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1197 
1198    Not Collective
1199 
1200    Input Parameters:
1201 +  map   - the mapping between local numbering and global numbering
1202 .  nrows - the number of rows indicated
1203 .  rows  - the indices of the rows
1204 .  ncols - the number of columns in the matrix
1205 .  cols  - the columns indicated
1206 .  dnz   - the array that will be passed to the matrix preallocation routines
1207 -  onz   - the other array passed to the matrix preallocation routines
1208 
1209    Level: deprecated (since v3.19)
1210 
1211    Notes:
1212    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1213    the use of this routine
1214 
1215    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1216 
1217 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`
1218           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1219 M*/
1220 #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1221   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));)
1222 
1223 /*MC
1224    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1225    inserted using a local number of the rows and columns
1226 
1227    Synopsis:
1228    #include <petscmat.h>
1229    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1230 
1231    Not Collective
1232 
1233    Input Parameters:
1234 +  row   - the row
1235 .  ncols - the number of columns in the matrix
1236 -  cols  - the columns indicated
1237 
1238    Output Parameters:
1239 +  dnz - the array that will be passed to the matrix preallocation routines
1240 -  onz - the other array passed to the matrix preallocation routines
1241 
1242    Level: deprecated (since v3.19)
1243 
1244    Notes:
1245    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1246    the use of this routine
1247 
1248    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1249 
1250    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().
1251 
1252 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1253           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1254 M*/
1255 #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1256   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) { \
1257     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1258     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1259   })
1260 
1261 /*MC
1262    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1263    inserted using a local number of the rows and columns
1264 
1265    Synopsis:
1266    #include <petscmat.h>
1267    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1268 
1269    Not Collective
1270 
1271    Input Parameters:
1272 +  nrows - the number of rows indicated
1273 .  rows  - the indices of the rows
1274 .  ncols - the number of columns in the matrix
1275 .  cols  - the columns indicated
1276 .  dnz   - the array that will be passed to the matrix preallocation routines
1277 -  onz   - the other array passed to the matrix preallocation routines
1278 
1279    Level: deprecated (since v3.19)
1280 
1281    Notes:
1282    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1283    the use of this routine
1284 
1285    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1286 
1287    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().
1288 
1289 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1290           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1291 M*/
1292 #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1293   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
1294     if (cols[__i] >= __end) onz[row - __rstart]++; \
1295     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1296   })
1297 
1298 /*MC
1299    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1300 
1301    Synopsis:
1302    #include <petscmat.h>
1303    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1304 
1305    Not Collective
1306 
1307    Input Parameters:
1308 +  A     - matrix
1309 .  row   - row where values exist (must be local to this process)
1310 .  ncols - number of columns
1311 .  cols  - columns with nonzeros
1312 .  dnz   - the array that will be passed to the matrix preallocation routines
1313 -  onz   - the other array passed to the matrix preallocation routines
1314 
1315    Level: deprecated (since v3.19)
1316 
1317    Notes:
1318    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1319    the use of this routine
1320 
1321    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1322 
1323    Developer Note:
1324    This is a MACRO, not a function, because it uses a bunch of variables private to the MatPreallocation.... routines.
1325 
1326 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1327           `MatPreallocateSymmetricSetLocalBlock()`
1328 M*/
1329 #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))
1330 
1331 /*MC
1332    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1333    row in a matrix providing the data that one can use to correctly preallocate the matrix.
1334 
1335    Synopsis:
1336    #include <petscmat.h>
1337    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)
1338 
1339    Collective
1340 
1341    Input Parameters:
1342 +  dnz - the array that was be passed to the matrix preallocation routines
1343 -  onz - the other array passed to the matrix preallocation routines
1344 
1345    Level: deprecated (since v3.19)
1346 
1347    Notes:
1348    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1349    the use of this routine
1350 
1351    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1352 
1353    Developer Note:
1354    This is a MACRO, not a function, because it closes the { started in MatPreallocateBegin().
1355 
1356 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1357           `MatPreallocateSymmetricSetLocalBlock()`
1358 M*/
1359 #define MatPreallocateEnd(dnz, onz) \
1360   PetscCall(PetscFree2(dnz, onz)); \
1361   } \
1362   while (0)
1363 
1364 #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateEnd()", ) MatPreallocateEnd(__VA_ARGS__)
1365 
1366 /* Routines unique to particular data structures */
1367 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, void *);
1368 
1369 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1370 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);
1371 
1372 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1373 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1374 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1375 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1376 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1377 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscInt, PetscBool);
1378 
1379 #define MAT_SKIP_ALLOCATION -4
1380 
1381 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1382 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1383 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1384 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);
1385 
1386 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1387 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1388 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1389 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1390 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1391 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1392 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1393 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1394 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1395 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1396 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1397 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1398 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1399 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1400 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);
1401 
1402 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1403 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1404 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatDenseSetLDA()", ) static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
1405 {
1406   return MatDenseSetLDA(A, lda);
1407 }
1408 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);
1409 
1410 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1411 
1412 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1413 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1414 
1415 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1416 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1417 /*
1418   These routines are not usually accessed directly, rather solving is
1419   done through the KSP and PC interfaces.
1420 */
1421 
1422 /*J
1423    MatOrderingType - String with the name of a PETSc matrix ordering. These orderings are most commonly used
1424    to reduce fill in sparse factorizations.
1425 
1426    Level: beginner
1427 
1428    Notes:
1429    If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and instead the external factorization solver package called utilizes one
1430    of its own.
1431 
1432    There is no `MatOrdering` object, the ordering is obtained directly from the matrix with `MatGetOrdering()`
1433 
1434    Developer Note:
1435    This API should be converted to an API similar to those for `MatColoring` and `MatPartitioning`
1436 
1437 .seealso: [](ch_matrices), [](sec_graph), `MatGetFactor()`, `MatGetOrdering()`, `MatColoringType`, `MatPartitioningType`, `MatCoarsenType`, `MatCoarsenType`,
1438           `PCFactorSetOrderingType()`
1439 J*/
1440 typedef const char *MatOrderingType;
1441 #define MATORDERINGNATURAL       "natural"
1442 #define MATORDERINGND            "nd"
1443 #define MATORDERING1WD           "1wd"
1444 #define MATORDERINGRCM           "rcm"
1445 #define MATORDERINGQMD           "qmd"
1446 #define MATORDERINGROWLENGTH     "rowlength"
1447 #define MATORDERINGWBM           "wbm"
1448 #define MATORDERINGSPECTRAL      "spectral"
1449 #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1450 #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1451 #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 */
1452 #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */
1453 
1454 PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1455 PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1456 PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1457 PETSC_EXTERN PetscFunctionList MatOrderingList;
1458 
1459 #include "petscmatcoarsen.h"
1460 
1461 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1462 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);
1463 
1464 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);
1465 
1466 /*S
1467    MatFactorShiftType - Type of numeric shift used for factorizations
1468 
1469    Values:
1470 +  `MAT_SHIFT_NONE`              - do not shift the matrix diagonal entries
1471 .  `MAT_SHIFT_NONZERO`           - shift the entries to be non-zero
1472 .  `MAT_SHIFT_POSITIVE_DEFINITE` - shift the entries to force the factorization to be positive definite
1473 -  `MAT_SHIFT_INBLOCKS`          - only shift the factors inside the small dense diagonal blocks of the matrix, for example with `MATBAIJ`
1474 
1475    Level: intermediate
1476 
1477 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `PCFactorSetShiftType()`
1478 S*/
1479 typedef enum {
1480   MAT_SHIFT_NONE,
1481   MAT_SHIFT_NONZERO,
1482   MAT_SHIFT_POSITIVE_DEFINITE,
1483   MAT_SHIFT_INBLOCKS
1484 } MatFactorShiftType;
1485 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1486 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1487 
1488 /*S
1489     MatFactorError - indicates what type of error was generated in a matrix factorization
1490 
1491     Values:
1492 +   `MAT_FACTOR_NOERROR`           - there was no error during the factorization
1493 .   `MAT_FACTOR_STRUCT_ZEROPIVOT`  - there was a missing entry in a diagonal location of the matrix
1494 .   `MAT_FACTOR_NUMERIC_ZEROPIVOT` - there was a (near) zero pivot during the factorization
1495 .   `MAT_FACTOR_OUTMEMORY`         - the factorization has run out of memory
1496 -   `MAT_FACTOR_OTHER`             - some other error has occurred.
1497 
1498     Level: intermediate
1499 
1500     Note:
1501     When a factorization is done in a preconditioner `PC` the error may be propagated up to a `PCFailedReason` or a `KSPConvergedReason`
1502 
1503 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `MatFactorGetError()`, `MatFactorGetErrorZeroPivot()`, `MatFactorClearError()`,
1504           `PCFailedReason`, `PCGetFailedReason()`, `KSPConvergedReason`
1505 S*/
1506 typedef enum {
1507   MAT_FACTOR_NOERROR,
1508   MAT_FACTOR_STRUCT_ZEROPIVOT,
1509   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1510   MAT_FACTOR_OUTMEMORY,
1511   MAT_FACTOR_OTHER
1512 } MatFactorError;
1513 
1514 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1515 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1516 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);
1517 
1518 /*S
1519    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1520 
1521    Level: developer
1522 
1523    Note:
1524    You can use `MatFactorInfoInitialize()` to set default values.
1525 
1526    Fortran Note:
1527    The data is available in a double precision arrays of size `MAT_FACTORINFO_SIZE`
1528 
1529 .seealso: [](ch_matrices), `Mat`, `MatInfo`, `MatGetFactor()`, `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`,
1530           `MatICCFactorSymbolic()`, `MatICCFactor()`, `MatFactorInfoInitialize()`
1531 S*/
1532 typedef struct {
1533   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1534   PetscReal usedt;
1535   PetscReal dt;            /* drop tolerance */
1536   PetscReal dtcol;         /* tolerance for pivoting */
1537   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1538   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1539   PetscReal levels;        /* ICC/ILU(levels) */
1540   PetscReal pivotinblocks; /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1541                                    factorization may be faster if do not pivot */
1542   PetscReal zeropivot;     /* pivot is called zero if less than this */
1543   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1544   PetscReal shiftamount;   /* how large the shift is */
1545 } MatFactorInfo;
1546 
1547 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1548 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1549 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1550 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1551 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1552 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1553 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1554 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1555 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1556 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1557 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1558 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1559 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1560 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1561 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1562 PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1563 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1564 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1565 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1566 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1567 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1568 PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1569 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1570 
1571 typedef enum {
1572   MAT_FACTOR_SCHUR_UNFACTORED,
1573   MAT_FACTOR_SCHUR_FACTORED,
1574   MAT_FACTOR_SCHUR_INVERTED
1575 } MatFactorSchurStatus;
1576 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1577 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1578 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1579 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1580 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1581 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1582 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1583 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1584 
1585 PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1586 /*E
1587    MatSORType - What type of (S)SOR to perform
1588 
1589    Values:
1590 +  `SOR_FORWARD_SWEEP`         - do a sweep from the first row of the matrix to the last
1591 .  `SOR_BACKWARD_SWEEP`        - do a sweep from the last row to the first
1592 .  `SOR_SYMMETRIC_SWEEP`       - do a sweep from the first row to the last and then back to the first
1593 .  `SOR_LOCAL_FORWARD_SWEEP`   - each MPI process does its own forward sweep with no communication
1594 .  `SOR_LOCAL_BACKWARD_SWEEP`  - each MPI process does its own backward sweep with no communication
1595 .  `SOR_LOCAL_SYMMETRIC_SWEEP` - each MPI process does its own symmetric sweep with no communication
1596 .  `SOR_ZERO_INITIAL_GUESS`    - indicates the initial solution is zero so the sweep can avoid unneeded computation
1597 .  `SOR_EISENSTAT`             - apply the Eisentat application of SOR, see `PCEISENSTAT`
1598 .  `SOR_APPLY_UPPER`           - multiply by the upper triangular portion of the matrix
1599 -  `SOR_APPLY_LOWER`           - multiply by the lower triangular portion of the matrix
1600 
1601    Level: beginner
1602 
1603    Note:
1604    These may be bitwise ORd together
1605 
1606    Developer Note:
1607    Since `MatSORType` may be bitwise ORd together, so do not change the numerical values below
1608 
1609 .seealso: [](ch_matrices), `MatSOR()`
1610 E*/
1611 typedef enum {
1612   SOR_FORWARD_SWEEP         = 1,
1613   SOR_BACKWARD_SWEEP        = 2,
1614   SOR_SYMMETRIC_SWEEP       = 3,
1615   SOR_LOCAL_FORWARD_SWEEP   = 4,
1616   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1617   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1618   SOR_ZERO_INITIAL_GUESS    = 16,
1619   SOR_EISENSTAT             = 32,
1620   SOR_APPLY_UPPER           = 64,
1621   SOR_APPLY_LOWER           = 128
1622 } MatSORType;
1623 PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);
1624 
1625 /*S
1626    MatColoring - Object for managing the coloring of matrices.
1627 
1628    Level: beginner
1629 
1630    Notes:
1631    Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1632    matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).
1633 
1634    Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1635    same object can also be used to efficiently convert data created by Automatic Differentiation tools to PETSc sparse matrices.
1636 
1637 .seealso: [](ch_matrices), [](sec_graph), `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`,
1638           `MatPartitioning`, `MatColoringType`, `MatPartitioningType`, `MatOrderingType`, `MatColoringSetWeightType()`,
1639           `MatColoringSetWeights()`, `MatCoarsenType`, `MatCoarsen`
1640 S*/
1641 typedef struct _p_MatColoring *MatColoring;
1642 
1643 /*J
1644    MatColoringType - String with the name of a PETSc matrix coloring
1645 
1646    Level: beginner
1647 
1648 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatFDColoringCreate()`, `MatColoringSetType()`, `MatColoring`
1649 J*/
1650 typedef const char *MatColoringType;
1651 #define MATCOLORINGJP      "jp"
1652 #define MATCOLORINGPOWER   "power"
1653 #define MATCOLORINGNATURAL "natural"
1654 #define MATCOLORINGSL      "sl"
1655 #define MATCOLORINGLF      "lf"
1656 #define MATCOLORINGID      "id"
1657 #define MATCOLORINGGREEDY  "greedy"
1658 
1659 /*E
1660    MatColoringWeightType - Type of weight scheme used for the coloring algorithm
1661 
1662    Values:
1663 +  `MAT_COLORING_RANDOM`  - Random weights
1664 .  `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1665 -  `MAT_COLORING_LF`      - Last-first weighting.
1666 
1667     Level: intermediate
1668 
1669 .seealso: [](ch_matrices), `MatColoring`, `MatColoringCreate()`, `MatColoringSetWeightType()`, `MatColoringSetWeights()`
1670 E*/
1671 typedef enum {
1672   MAT_COLORING_WEIGHT_RANDOM,
1673   MAT_COLORING_WEIGHT_LEXICAL,
1674   MAT_COLORING_WEIGHT_LF,
1675   MAT_COLORING_WEIGHT_SL
1676 } MatColoringWeightType;
1677 
1678 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1679 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1680 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1681 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1682 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1683 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1684 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1685 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1686 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1687 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1688 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1689 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1690 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1691 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1692 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1693 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1694 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1695 PETSC_DEPRECATED_FUNCTION(3, 10, 0, "MatColoringTest()", ) static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
1696 {
1697   return MatColoringTest(matcoloring, iscoloring);
1698 }
1699 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);
1700 
1701 /*S
1702    MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring
1703 
1704    Level: beginner
1705 
1706    Notes:
1707    This object is creating utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`
1708 
1709    The `SNES` option `-snes_fd_coloring` will cause the Jacobian needed by `SNES` to be computed via a use of this object
1710 
1711 .seealso: [](ch_matrices), `Mat`, `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1712 S*/
1713 typedef struct _p_MatFDColoring *MatFDColoring;
1714 
1715 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1716 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1717 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1718 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, PetscErrorCode (*)(void), void *);
1719 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, PetscErrorCode (**)(void), void **);
1720 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1721 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1722 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1723 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1724 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1725 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1726 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1727 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);
1728 
1729 /*S
1730    MatTransposeColoring - Object for computing a sparse matrix product $C = A*B^T$ via coloring
1731 
1732    Level: developer
1733 
1734 .seealso: [](ch_matrices), `Mat`, `MatProductType`, `MatTransposeColoringCreate()`
1735 S*/
1736 typedef struct _p_MatTransposeColoring *MatTransposeColoring;
1737 
1738 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1739 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1740 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1741 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);
1742 
1743 /*S
1744    MatPartitioning - Object for managing the partitioning of a matrix or graph
1745 
1746    Level: beginner
1747 
1748    Note:
1749    There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1750    via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)
1751 
1752    Developer Note:
1753    It is an extra maintenance and documentation cost to have two objects with the same functionality. `PetscPartitioner` should be removed
1754 
1755 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`, `MatOrderingType`,
1756           `MatCoarsenType`, `MatCoarsenType`
1757 S*/
1758 typedef struct _p_MatPartitioning *MatPartitioning;
1759 
1760 /*J
1761     MatPartitioningType - String with the name of a PETSc matrix partitioning
1762 
1763    Level: beginner
1764 dm
1765 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`, `MatColoringType`, `MatOrderingType`,
1766           `MatCoarsenType`, `MatCoarsenType`
1767 J*/
1768 typedef const char *MatPartitioningType;
1769 #define MATPARTITIONINGCURRENT  "current"
1770 #define MATPARTITIONINGAVERAGE  "average"
1771 #define MATPARTITIONINGSQUARE   "square"
1772 #define MATPARTITIONINGPARMETIS "parmetis"
1773 #define MATPARTITIONINGCHACO    "chaco"
1774 #define MATPARTITIONINGPARTY    "party"
1775 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1776 #define MATPARTITIONINGHIERARCH "hierarch"
1777 
1778 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1779 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1780 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1781 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1782 PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1783 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1784 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1785 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1786 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1787 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1788 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1789 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1790 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1791 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1792 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1793 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1794 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1795 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1796 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);
1797 
1798 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1799 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1800 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1801 
1802 typedef enum {
1803   MP_CHACO_MULTILEVEL = 1,
1804   MP_CHACO_SPECTRAL   = 2,
1805   MP_CHACO_LINEAR     = 4,
1806   MP_CHACO_RANDOM     = 5,
1807   MP_CHACO_SCATTERED  = 6
1808 } MPChacoGlobalType;
1809 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1810 typedef enum {
1811   MP_CHACO_KERNIGHAN = 1,
1812   MP_CHACO_NONE      = 2
1813 } MPChacoLocalType;
1814 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1815 typedef enum {
1816   MP_CHACO_LANCZOS = 0,
1817   MP_CHACO_RQI     = 1
1818 } MPChacoEigenType;
1819 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1820 
1821 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1822 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1823 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1824 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1825 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1826 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1827 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1828 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1829 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1830 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1831 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);
1832 
1833 #define MP_PARTY_OPT "opt"
1834 #define MP_PARTY_LIN "lin"
1835 #define MP_PARTY_SCA "sca"
1836 #define MP_PARTY_RAN "ran"
1837 #define MP_PARTY_GBF "gbf"
1838 #define MP_PARTY_GCF "gcf"
1839 #define MP_PARTY_BUB "bub"
1840 #define MP_PARTY_DEF "def"
1841 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1842 #define MP_PARTY_HELPFUL_SETS  "hs"
1843 #define MP_PARTY_KERNIGHAN_LIN "kl"
1844 #define MP_PARTY_NONE          "no"
1845 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1846 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1847 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1848 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);
1849 
1850 typedef enum {
1851   MP_PTSCOTCH_DEFAULT,
1852   MP_PTSCOTCH_QUALITY,
1853   MP_PTSCOTCH_SPEED,
1854   MP_PTSCOTCH_BALANCE,
1855   MP_PTSCOTCH_SAFETY,
1856   MP_PTSCOTCH_SCALABILITY
1857 } MPPTScotchStrategyType;
1858 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1859 
1860 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1861 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1862 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1863 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);
1864 
1865 /*
1866  * hierarchical partitioning
1867  */
1868 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1869 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1870 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1871 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1872 
1873 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);
1874 
1875 /*
1876     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1877     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1878 */
1879 typedef enum {
1880   MATOP_SET_VALUES               = 0,
1881   MATOP_GET_ROW                  = 1,
1882   MATOP_RESTORE_ROW              = 2,
1883   MATOP_MULT                     = 3,
1884   MATOP_MULT_ADD                 = 4,
1885   MATOP_MULT_TRANSPOSE           = 5,
1886   MATOP_MULT_TRANSPOSE_ADD       = 6,
1887   MATOP_SOLVE                    = 7,
1888   MATOP_SOLVE_ADD                = 8,
1889   MATOP_SOLVE_TRANSPOSE          = 9,
1890   MATOP_SOLVE_TRANSPOSE_ADD      = 10,
1891   MATOP_LUFACTOR                 = 11,
1892   MATOP_CHOLESKYFACTOR           = 12,
1893   MATOP_SOR                      = 13,
1894   MATOP_TRANSPOSE                = 14,
1895   MATOP_GETINFO                  = 15,
1896   MATOP_EQUAL                    = 16,
1897   MATOP_GET_DIAGONAL             = 17,
1898   MATOP_DIAGONAL_SCALE           = 18,
1899   MATOP_NORM                     = 19,
1900   MATOP_ASSEMBLY_BEGIN           = 20,
1901   MATOP_ASSEMBLY_END             = 21,
1902   MATOP_SET_OPTION               = 22,
1903   MATOP_ZERO_ENTRIES             = 23,
1904   MATOP_ZERO_ROWS                = 24,
1905   MATOP_LUFACTOR_SYMBOLIC        = 25,
1906   MATOP_LUFACTOR_NUMERIC         = 26,
1907   MATOP_CHOLESKY_FACTOR_SYMBOLIC = 27,
1908   MATOP_CHOLESKY_FACTOR_NUMERIC  = 28,
1909   MATOP_SETUP                    = 29,
1910   MATOP_ILUFACTOR_SYMBOLIC       = 30,
1911   MATOP_ICCFACTOR_SYMBOLIC       = 31,
1912   MATOP_GET_DIAGONAL_BLOCK       = 32,
1913   MATOP_SET_INF                  = 33,
1914   MATOP_DUPLICATE                = 34,
1915   MATOP_FORWARD_SOLVE            = 35,
1916   MATOP_BACKWARD_SOLVE           = 36,
1917   MATOP_ILUFACTOR                = 37,
1918   MATOP_ICCFACTOR                = 38,
1919   MATOP_AXPY                     = 39,
1920   MATOP_CREATE_SUBMATRICES       = 40,
1921   MATOP_INCREASE_OVERLAP         = 41,
1922   MATOP_GET_VALUES               = 42,
1923   MATOP_COPY                     = 43,
1924   MATOP_GET_ROW_MAX              = 44,
1925   MATOP_SCALE                    = 45,
1926   MATOP_SHIFT                    = 46,
1927   MATOP_DIAGONAL_SET             = 47,
1928   MATOP_ZERO_ROWS_COLUMNS        = 48,
1929   MATOP_SET_RANDOM               = 49,
1930   MATOP_GET_ROW_IJ               = 50,
1931   MATOP_RESTORE_ROW_IJ           = 51,
1932   MATOP_GET_COLUMN_IJ            = 52,
1933   MATOP_RESTORE_COLUMN_IJ        = 53,
1934   MATOP_FDCOLORING_CREATE        = 54,
1935   MATOP_COLORING_PATCH           = 55,
1936   MATOP_SET_UNFACTORED           = 56,
1937   MATOP_PERMUTE                  = 57,
1938   MATOP_SET_VALUES_BLOCKED       = 58,
1939   MATOP_CREATE_SUBMATRIX         = 59,
1940   MATOP_DESTROY                  = 60,
1941   MATOP_VIEW                     = 61,
1942   MATOP_CONVERT_FROM             = 62,
1943   /* MATOP_PLACEHOLDER_63=63 */
1944   MATOP_MATMAT_MULT_SYMBOLIC    = 64,
1945   MATOP_MATMAT_MULT_NUMERIC     = 65,
1946   MATOP_SET_LOCAL_TO_GLOBAL_MAP = 66,
1947   MATOP_SET_VALUES_LOCAL        = 67,
1948   MATOP_ZERO_ROWS_LOCAL         = 68,
1949   MATOP_GET_ROW_MAX_ABS         = 69,
1950   MATOP_GET_ROW_MIN_ABS         = 70,
1951   MATOP_CONVERT                 = 71,
1952   MATOP_HAS_OPERATION           = 72,
1953   /* MATOP_PLACEHOLDER_73=73, */
1954   MATOP_SET_VALUES_ADIFOR = 74,
1955   MATOP_FD_COLORING_APPLY = 75,
1956   MATOP_SET_FROM_OPTIONS  = 76,
1957   /* MATOP_PLACEHOLDER_77=77, */
1958   /* MATOP_PLACEHOLDER_78=78, */
1959   MATOP_FIND_ZERO_DIAGONALS       = 79,
1960   MATOP_MULT_MULTIPLE             = 80,
1961   MATOP_SOLVE_MULTIPLE            = 81,
1962   MATOP_GET_INERTIA               = 82,
1963   MATOP_LOAD                      = 83,
1964   MATOP_IS_SYMMETRIC              = 84,
1965   MATOP_IS_HERMITIAN              = 85,
1966   MATOP_IS_STRUCTURALLY_SYMMETRIC = 86,
1967   MATOP_SET_VALUES_BLOCKEDLOCAL   = 87,
1968   MATOP_CREATE_VECS               = 88,
1969   /* MATOP_PLACEHOLDER_89=89, */
1970   MATOP_MAT_MULT_SYMBOLIC = 90,
1971   MATOP_MAT_MULT_NUMERIC  = 91,
1972   /* MATOP_PLACEHOLDER_92=92, */
1973   MATOP_PTAP_SYMBOLIC = 93,
1974   MATOP_PTAP_NUMERIC  = 94,
1975   /* MATOP_PLACEHOLDER_95=95, */
1976   MATOP_MAT_TRANSPOSE_MULT_SYMBO = 96,
1977   MATOP_MAT_TRANSPOSE_MULT_NUMER = 97,
1978   MATOP_BIND_TO_CPU              = 98,
1979   MATOP_PRODUCTSETFROMOPTIONS    = 99,
1980   MATOP_PRODUCTSYMBOLIC          = 100,
1981   MATOP_PRODUCTNUMERIC           = 101,
1982   MATOP_CONJUGATE                = 102,
1983   MATOP_VIEW_NATIVE              = 103,
1984   MATOP_SET_VALUES_ROW           = 104,
1985   MATOP_REAL_PART                = 105,
1986   MATOP_IMAGINARY_PART           = 106,
1987   MATOP_GET_ROW_UPPER_TRIANGULAR = 107,
1988   MATOP_RESTORE_ROW_UPPER_TRIANG = 108,
1989   MATOP_MAT_SOLVE                = 109,
1990   MATOP_MAT_SOLVE_TRANSPOSE      = 110,
1991   MATOP_GET_ROW_MIN              = 111,
1992   MATOP_GET_COLUMN_VECTOR        = 112,
1993   MATOP_MISSING_DIAGONAL         = 113,
1994   MATOP_GET_SEQ_NONZERO_STRUCTUR = 114,
1995   MATOP_CREATE                   = 115,
1996   MATOP_GET_GHOSTS               = 116,
1997   MATOP_GET_LOCAL_SUB_MATRIX     = 117,
1998   MATOP_RESTORE_LOCALSUB_MATRIX  = 118,
1999   MATOP_MULT_DIAGONAL_BLOCK      = 119,
2000   MATOP_HERMITIAN_TRANSPOSE      = 120,
2001   MATOP_MULT_HERMITIAN_TRANSPOSE = 121,
2002   MATOP_MULT_HERMITIAN_TRANS_ADD = 122,
2003   MATOP_GET_MULTI_PROC_BLOCK     = 123,
2004   MATOP_FIND_NONZERO_ROWS        = 124,
2005   MATOP_GET_COLUMN_NORMS         = 125,
2006   MATOP_INVERT_BLOCK_DIAGONAL    = 126,
2007   MATOP_INVERT_VBLOCK_DIAGONAL   = 127,
2008   MATOP_CREATE_SUB_MATRICES_MPI  = 128,
2009   MATOP_SET_VALUES_BATCH         = 129,
2010   /* MATOP_PLACEHOLDER_130=130, */
2011   MATOP_TRANSPOSE_MAT_MULT_SYMBO = 131,
2012   MATOP_TRANSPOSE_MAT_MULT_NUMER = 132,
2013   MATOP_TRANSPOSE_COLORING_CREAT = 133,
2014   MATOP_TRANS_COLORING_APPLY_SPT = 134,
2015   MATOP_TRANS_COLORING_APPLY_DEN = 135,
2016   /* MATOP_PLACEHOLDER_136=136, */
2017   MATOP_RART_SYMBOLIC         = 137,
2018   MATOP_RART_NUMERIC          = 138,
2019   MATOP_SET_BLOCK_SIZES       = 139,
2020   MATOP_AYPX                  = 140,
2021   MATOP_RESIDUAL              = 141,
2022   MATOP_FDCOLORING_SETUP      = 142,
2023   MATOP_FIND_OFFBLOCK_ENTRIES = 143,
2024   MATOP_MPICONCATENATESEQ     = 144,
2025   MATOP_DESTROYSUBMATRICES    = 145,
2026   MATOP_TRANSPOSE_SOLVE       = 146,
2027   MATOP_GET_VALUES_LOCAL      = 147
2028 } MatOperation;
2029 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, void (*)(void));
2030 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, void (**)(void));
2031 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
2032 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
2033 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatProductClear()", ) static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
2034 {
2035   return MatProductClear(A);
2036 }
2037 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, void (*)(void));
2038 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, void (**)(void));
2039 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, void *);
2040 PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscErrorCode (*)(void *));
2041 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
2042 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2043 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2044 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
2045 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscErrorCode (*)(void *), MatType, MatType);
2046 PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);
2047 
2048 /*
2049    Codes for matrices stored on disk. By default they are
2050    stored in a universal format. By changing the format with
2051    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
2052    be stored in a way natural for the matrix, for example dense matrices
2053    would be stored as dense. Matrices stored this way may only be
2054    read into matrices of the same type.
2055 */
2056 #define MATRIX_BINARY_FORMAT_DENSE -1
2057 
2058 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);
2059 
2060 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
2061 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
2062 PETSC_EXTERN PetscErrorCode MatISSetAllowRepeated(Mat, PetscBool);
2063 PETSC_EXTERN PetscErrorCode MatISGetAllowRepeated(Mat, PetscBool *);
2064 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
2065 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
2066 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
2067 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
2068 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
2069 PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
2070 
2071 /*S
2072    MatNullSpace - Object that removes a null space from a vector, i.e.
2073                   orthogonalizes the vector to a subspace
2074 
2075    Level: advanced
2076 
2077 .seealso: [](ch_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2078 S*/
2079 typedef struct _p_MatNullSpace *MatNullSpace;
2080 
2081 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
2082 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, PetscErrorCode (*)(MatNullSpace, Vec, void *), void *);
2083 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
2084 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
2085 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
2086 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
2087 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
2088 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
2089 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
2090 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
2091 PETSC_EXTERN PetscErrorCode MatGetNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2092 PETSC_EXTERN PetscErrorCode MatRestoreNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2093 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
2094 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
2095 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
2096 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);
2097 
2098 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
2099 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
2100 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);
2101 
2102 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
2103 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
2104 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);
2105 
2106 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
2107 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);
2108 
2109 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperator()", ) static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
2110 {
2111   return MatComputeOperator(A, PETSC_NULLPTR, B);
2112 }
2113 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperatorTranspose()", ) static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
2114 {
2115   return MatComputeOperatorTranspose(A, PETSC_NULLPTR, B);
2116 }
2117 
2118 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
2119 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
2120 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
2121 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2122 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
2123 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
2124 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
2125 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2126 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
2127 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
2128 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
2129 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
2130 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
2131 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);
2132 
2133 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);
2134 
2135 PETSC_EXTERN PetscErrorCode MatMFFDInitializePackage(void);
2136 PETSC_EXTERN PetscErrorCode MatMFFDFinalizePackage(void);
2137 
2138 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2139 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
2140 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, PetscErrorCode (*)(void *, Vec, Vec), void *);
2141 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, PetscErrorCode (*)(void *, PetscInt, Vec, PetscScalar *));
2142 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, PetscErrorCode (*)(void *, Vec));
2143 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
2144 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
2145 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
2146 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
2147 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
2148 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
2149 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
2150 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, PetscErrorCode (*)(void *, Vec, Vec, PetscScalar *), void *);
2151 
2152 /*S
2153     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2154               Jacobian vector products
2155 
2156     Level: developer
2157 
2158     Notes:
2159     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure
2160 
2161      MatMFFD*() methods actually take the `Mat` as their first argument. Not a `MatMFFD` data structure
2162 
2163     This functionality is often obtained using `MatCreateSNESMF()` or with `SNES` solvers using `-snes_mf` or `-snes_mf_operator`
2164 
2165 .seealso: [](ch_matrices), `MatMFFDType`, `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`,
2166           `MatCreateSNESMF()`, `SNES`, `-snes_mf`, `-snes_mf_operator`
2167 S*/
2168 typedef struct _p_MatMFFD *MatMFFD;
2169 
2170 /*J
2171    MatMFFDType - algorithm used to compute the `h` used in computing matrix-vector products via differencing of a function
2172 
2173    Values:
2174 +   `MATMFFD_DS` - an algorithm described by Dennis and Schnabel {cite}`dennis:83`
2175 -   `MATMFFD_WP` - the Walker-Pernice {cite}`pw98` strategy.
2176 
2177    Level: beginner
2178 
2179 .seealso: [](ch_matrices), `MatMFFDSetType()`, `MatMFFDRegister()`, `MatMFFDSetFunction()`, `MatCreateMFFD()`
2180 J*/
2181 typedef const char *MatMFFDType;
2182 #define MATMFFD_DS "ds"
2183 #define MATMFFD_WP "wp"
2184 
2185 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2186 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));
2187 
2188 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2189 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);
2190 
2191 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);
2192 
2193 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2194 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
2195 
2196 #ifdef PETSC_HAVE_H2OPUS
2197 PETSC_EXTERN_TYPEDEF typedef PetscScalar(MatH2OpusKernelFn)(PetscInt, PetscReal[], PetscReal[], void *);
2198 PETSC_EXTERN_TYPEDEF typedef MatH2OpusKernelFn *MatH2OpusKernel;
2199 
2200 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernelFn *, void *, PetscReal, PetscInt, PetscInt, Mat *);
2201 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2202 PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2203 PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
2204 PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat, PetscReal);
2205 PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat, PetscBool);
2206 PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat, PetscBool *);
2207 PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat, IS *);
2208 PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2209 PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2210 #endif
2211 
2212 #ifdef PETSC_HAVE_HTOOL
2213 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(MatHtoolKernelFn)(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2214 PETSC_EXTERN_TYPEDEF typedef MatHtoolKernelFn *MatHtoolKernel;
2215 
2216 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernelFn *, void *, Mat *);
2217 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat, MatHtoolKernelFn *, void *);
2218 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat, IS *);
2219 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat, IS *);
2220 PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat, PetscBool);
2221 
2222 /*E
2223    MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`
2224 
2225    Values:
2226 +  `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2227 .  `MAT_HTOOL_COMPRESSOR_FULL_ACA`                 - full adaptive cross approximation
2228 -  `MAT_HTOOL_COMPRESSOR_SVD`                      - singular value decomposition
2229 
2230    Level: intermediate
2231 
2232 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2233 E*/
2234 typedef enum {
2235   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2236   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2237   MAT_HTOOL_COMPRESSOR_SVD
2238 } MatHtoolCompressorType;
2239 
2240 /*E
2241    MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`
2242 
2243    Values:
2244 +  `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default)    - axis computed via principle component analysis, split uniformly
2245 .  `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC`            - axis computed via principle component analysis, split barycentrically
2246 .  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR`   - axis along the largest extent of the bounding box, split uniformly
2247 -  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically
2248 
2249    Level: intermediate
2250 
2251    Note:
2252    Higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
2253 
2254 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2255 E*/
2256 typedef enum {
2257   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2258   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2259   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2260   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2261 } MatHtoolClusteringType;
2262 #endif
2263 
2264 #ifdef PETSC_HAVE_MUMPS
2265 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2266 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2267 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2268 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);
2269 
2270 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2271 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2272 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2273 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2274 PETSC_EXTERN PetscErrorCode MatMumpsGetNullPivots(Mat, PetscInt *, PetscInt **);
2275 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2276 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2277 #endif
2278 
2279 #ifdef PETSC_HAVE_MKL_PARDISO
2280 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2281 #endif
2282 
2283 #ifdef PETSC_HAVE_MKL_CPARDISO
2284 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2285 #endif
2286 
2287 #ifdef PETSC_HAVE_SUPERLU
2288 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2289 #endif
2290 
2291 #ifdef PETSC_HAVE_SUPERLU_DIST
2292 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2293 #endif
2294 
2295 #ifdef PETSC_HAVE_STRUMPACK
2296 /*E
2297     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `MATSOLVERSTRUMPACK`
2298 
2299     Values:
2300 +  `MAT_STRUMPACK_NATURAL`   - use the current ordering
2301 .  `MAT_STRUMPACK_METIS`     - use MeTis to compute an ordering
2302 .  `MAT_STRUMPACK_PARMETIS`  - use ParMeTis to compute an ordering
2303 .  `MAT_STRUMPACK_SCOTCH`    - use Scotch to compute an ordering
2304 .  `MAT_STRUMPACK_PTSCOTCH`  - use parallel Scotch to compute an ordering
2305 .  `MAT_STRUMPACK_RCM`       - use an RCM ordering
2306 .  `MAT_STRUMPACK_GEOMETRIC` - use a geometric ordering (needs mesh info from user)
2307 .  `MAT_STRUMPACK_AMD`       - approximate minimum degree
2308 .  `MAT_STRUMPACK_MMD`       - multiple minimum degree
2309 .  `MAT_STRUMPACK_AND`       - approximate nested dissection
2310 .  `MAT_STRUMPACK_MLF`       - minimum local fill
2311 -  `MAT_STRUMPACK_SPECTRAL`  - spectral nested dissection
2312 
2313     Level: intermediate
2314 
2315     Developer Note:
2316     Should be called `MatSTRUMPACKReorderingType`
2317 
2318 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetReordering()`
2319 E*/
2320 typedef enum {
2321   MAT_STRUMPACK_NATURAL,
2322   MAT_STRUMPACK_METIS,
2323   MAT_STRUMPACK_PARMETIS,
2324   MAT_STRUMPACK_SCOTCH,
2325   MAT_STRUMPACK_PTSCOTCH,
2326   MAT_STRUMPACK_RCM,
2327   MAT_STRUMPACK_GEOMETRIC,
2328   MAT_STRUMPACK_AMD,
2329   MAT_STRUMPACK_MMD,
2330   MAT_STRUMPACK_AND,
2331   MAT_STRUMPACK_MLF,
2332   MAT_STRUMPACK_SPECTRAL
2333 } MatSTRUMPACKReordering;
2334 
2335 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2336 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetReordering(Mat, MatSTRUMPACKReordering *);
2337 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricNxyz(Mat, PetscInt, PetscInt, PetscInt);
2338 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricComponents(Mat, PetscInt);
2339 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricWidth(Mat, PetscInt);
2340 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2341 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetColPerm(Mat, PetscBool *);
2342 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGPU(Mat, PetscBool);
2343 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetGPU(Mat, PetscBool *);
2344 
2345 /*E
2346     MatSTRUMPACKCompressionType - Compression used in the approximate sparse factorization solver `MATSOLVERSTRUMPACK`
2347 
2348     Values:
2349 +  `MAT_STRUMPACK_COMPRESSION_TYPE_NONE`          - no compression, direct solver
2350 .  `MAT_STRUMPACK_COMPRESSION_TYPE_HSS`           - hierarchically semi-separable
2351 .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR`           - block low rank
2352 .  `MAT_STRUMPACK_COMPRESSION_TYPE_HODLR`         - hierarchically off-diagonal low rank (requires ButterfyPACK support, configure with --download-butterflypack)
2353 .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR`     - hybrid of BLR and HODLR (requires ButterfyPACK support, configure with --download-butterflypack)
2354 .  `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)
2355 .  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS`      - lossless compression (requires ZFP support, configure with --download-zfp)
2356 -  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY`         - lossy compression (requires ZFP support, configure with --download-zfp)
2357 
2358     Level: intermediate
2359 
2360 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetCompression()`
2361 E*/
2362 typedef enum {
2363   MAT_STRUMPACK_COMPRESSION_TYPE_NONE,
2364   MAT_STRUMPACK_COMPRESSION_TYPE_HSS,
2365   MAT_STRUMPACK_COMPRESSION_TYPE_BLR,
2366   MAT_STRUMPACK_COMPRESSION_TYPE_HODLR,
2367   MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR,
2368   MAT_STRUMPACK_COMPRESSION_TYPE_ZFP_BLR_HODLR,
2369   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS,
2370   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY
2371 } MatSTRUMPACKCompressionType;
2372 
2373 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompression(Mat, MatSTRUMPACKCompressionType);
2374 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompression(Mat, MatSTRUMPACKCompressionType *);
2375 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompRelTol(Mat, PetscReal);
2376 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompRelTol(Mat, PetscReal *);
2377 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompAbsTol(Mat, PetscReal);
2378 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompAbsTol(Mat, PetscReal *);
2379 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompMinSepSize(Mat, PetscInt);
2380 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompMinSepSize(Mat, PetscInt *);
2381 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLeafSize(Mat, PetscInt);
2382 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLeafSize(Mat, PetscInt *);
2383 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLossyPrecision(Mat, PetscInt);
2384 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLossyPrecision(Mat, PetscInt *);
2385 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompButterflyLevels(Mat, PetscInt);
2386 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompButterflyLevels(Mat, PetscInt *);
2387 #endif
2388 
2389 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2390 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2391 PETSC_DEPRECATED_FUNCTION(3, 13, 0, "MatBindToCPU()", ) static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2392 {
2393   return MatBindToCPU(A, flg);
2394 }
2395 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2396 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);
2397 
2398 #ifdef PETSC_HAVE_CUDA
2399 /*E
2400     MatCUSPARSEStorageFormat - indicates the storage format for `MATAIJCUSPARSE` (GPU)
2401     matrices.
2402 
2403     Values:
2404 +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2405 .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2406 -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2407 
2408     Level: intermediate
2409 
2410 .seealso: [](ch_matrices), `MATAIJCUSPARSE`, `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2411 E*/
2412 
2413 typedef enum {
2414   MAT_CUSPARSE_CSR,
2415   MAT_CUSPARSE_ELL,
2416   MAT_CUSPARSE_HYB
2417 } MatCUSPARSEStorageFormat;
2418 
2419 /* these will be strings associated with enumerated type defined above */
2420 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2421 
2422 /*E
2423     MatCUSPARSEFormatOperation - indicates the operation of `MATAIJCUSPARSE` (GPU)
2424     matrices whose operation should use a particular storage format.
2425 
2426     Values:
2427 +   `MAT_CUSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2428 .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2429 .   `MAT_CUSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2430 -   `MAT_CUSPARSE_ALL`          - sets the storage format for all `MATAIJCUSPARSE` (GPU) matrices
2431 
2432     Level: intermediate
2433 
2434 .seealso: [](ch_matrices), `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2435 E*/
2436 typedef enum {
2437   MAT_CUSPARSE_MULT_DIAG,
2438   MAT_CUSPARSE_MULT_OFFDIAG,
2439   MAT_CUSPARSE_MULT,
2440   MAT_CUSPARSE_ALL
2441 } MatCUSPARSEFormatOperation;
2442 
2443 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2444 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2445 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2446 PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2447 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2448 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2449 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2450 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2451 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2452 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2453 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2454 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);
2455 
2456 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2457 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2458 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2459 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2460 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2461 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2462 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2463 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2464 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2465 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2466 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2467 PETSC_EXTERN PetscErrorCode MatDenseCUDASetPreallocation(Mat, PetscScalar *);
2468 
2469 PETSC_EXTERN PetscErrorCode MatCreateSeqSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2470 PETSC_EXTERN PetscErrorCode MatCreateSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2471 #endif
2472 
2473 #ifdef PETSC_HAVE_HIP
2474 /*E
2475     MatHIPSPARSEStorageFormat - indicates the storage format for `MATAIJHIPSPARSE` (GPU)
2476     matrices.
2477 
2478     Values:
2479 +   `MAT_HIPSPARSE_CSR` - Compressed Sparse Row
2480 .   `MAT_HIPSPARSE_ELL` - Ellpack
2481 -   `MAT_HIPSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format
2482 
2483     Level: intermediate
2484 
2485 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
2486 E*/
2487 
2488 typedef enum {
2489   MAT_HIPSPARSE_CSR,
2490   MAT_HIPSPARSE_ELL,
2491   MAT_HIPSPARSE_HYB
2492 } MatHIPSPARSEStorageFormat;
2493 
2494 /* these will be strings associated with enumerated type defined above */
2495 PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];
2496 
2497 /*E
2498     MatHIPSPARSEFormatOperation - indicates the operation of `MATAIJHIPSPARSE` (GPU)
2499     matrices whose operation should use a particular storage format.
2500 
2501     Values:
2502 +   `MAT_HIPSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2503 .   `MAT_HIPSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2504 .   `MAT_HIPSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2505 -   `MAT_HIPSPARSE_ALL`          - sets the storage format for all HIPSPARSE (GPU) matrices
2506 
2507     Level: intermediate
2508 
2509 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
2510 E*/
2511 typedef enum {
2512   MAT_HIPSPARSE_MULT_DIAG,
2513   MAT_HIPSPARSE_MULT_OFFDIAG,
2514   MAT_HIPSPARSE_MULT,
2515   MAT_HIPSPARSE_ALL
2516 } MatHIPSPARSEFormatOperation;
2517 
2518 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2519 PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2520 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
2521 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
2522 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2523 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2524 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
2525 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
2526 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
2527 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
2528 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
2529 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);
2530 
2531 PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2532 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2533 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
2534 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
2535 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
2536 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
2537 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
2538 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
2539 PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
2540 PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
2541 PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);
2542 PETSC_EXTERN PetscErrorCode MatDenseHIPSetPreallocation(Mat, PetscScalar *);
2543 PETSC_EXTERN PetscErrorCode MatCreateSeqSELLHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2544 PETSC_EXTERN PetscErrorCode MatCreateSELLHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2545 #endif
2546 
2547 #if defined(PETSC_HAVE_VIENNACL)
2548 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2549 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2550 #endif
2551 
2552 #if PetscDefined(HAVE_KOKKOS)
2553 PETSC_EXTERN PetscErrorCode MatCreateAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2554 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2555 #endif
2556 
2557 #if defined(PETSC_HAVE_FFTW)
2558 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2559 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2560 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2561 #endif
2562 
2563 #if defined(PETSC_HAVE_SCALAPACK)
2564 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2565 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2566 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2567 #endif
2568 
2569 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2570 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2571 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2572 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2573 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2574 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2575 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2576 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2577 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);
2578 
2579 PETSC_EXTERN PetscErrorCode MatFilter(Mat, PetscReal, PetscBool, PetscBool);
2580 PETSC_DEPRECATED_FUNCTION(3, 20, 0, "MatFilter()", ) static inline PetscErrorCode MatChop(Mat A, PetscReal tol)
2581 {
2582   return MatFilter(A, tol, PETSC_FALSE, PETSC_FALSE);
2583 }
2584 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);
2585 
2586 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);
2587 
2588 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);
2589 
2590 PETSC_EXTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2591 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);
2592 
2593 PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);
2594 
2595 PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, PetscInt, PetscInt[], Mat *);
2596 PETSC_EXTERN PetscErrorCode MatEliminateZeros(Mat, PetscBool);
2597 
2598 PETSC_EXTERN PetscErrorCode MatCreateDenseFromVecType(MPI_Comm, VecType, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar *, Mat *);
2599 
2600 PETSC_EXTERN PetscErrorCode MatSetHPL(Mat, int);
2601 #define PETSCBMHPL "hpl"
2602