xref: /petsc/include/petscmat.h (revision 0be0d8bde7cbed9986facbcd3689d3188b7894db)
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 MATDUMMY                     "dummy"
123 #define MATLMVM                      "lmvm"
124 #define MATLMVMDFP                   "lmvmdfp"
125 #define MATLMVMBFGS                  "lmvmbfgs"
126 #define MATLMVMSR1                   "lmvmsr1"
127 #define MATLMVMBROYDEN               "lmvmbroyden"
128 #define MATLMVMBADBROYDEN            "lmvmbadbroyden"
129 #define MATLMVMSYMBROYDEN            "lmvmsymbroyden"
130 #define MATLMVMSYMBADBROYDEN         "lmvmsymbadbroyden"
131 #define MATLMVMDIAGBROYDEN           "lmvmdiagbroyden"
132 #define MATCONSTANTDIAGONAL          "constantdiagonal"
133 #define MATDIAGONAL                  "diagonal"
134 #define MATHTOOL                     "htool"
135 #define MATH2OPUS                    "h2opus"
136 
137 /*J
138    MatSolverType - String with the name of a PETSc factorization-based matrix solver type.
139 
140    For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
141 
142    Level: beginner
143 
144    Note:
145    `MATSOLVERUMFPACK`, `MATSOLVERCHOLMOD`, `MATSOLVERKLU`, `MATSOLVERSPQR` form the SuiteSparse package; you can use `--download-suitesparse` as
146    a ./configure option to install them
147 
148 .seealso: [](sec_matfactor), [](ch_matrices), `MatGetFactor()`, `PCFactorSetMatSolverType()`, `PCFactorGetMatSolverType()`
149 J*/
150 typedef const char *MatSolverType;
151 #define MATSOLVERSUPERLU      "superlu"
152 #define MATSOLVERSUPERLU_DIST "superlu_dist"
153 #define MATSOLVERSTRUMPACK    "strumpack"
154 #define MATSOLVERUMFPACK      "umfpack"
155 #define MATSOLVERCHOLMOD      "cholmod"
156 #define MATSOLVERKLU          "klu"
157 #define MATSOLVERELEMENTAL    "elemental"
158 #define MATSOLVERSCALAPACK    "scalapack"
159 #define MATSOLVERESSL         "essl"
160 #define MATSOLVERLUSOL        "lusol"
161 #define MATSOLVERMUMPS        "mumps"
162 #define MATSOLVERMKL_PARDISO  "mkl_pardiso"
163 #define MATSOLVERMKL_CPARDISO "mkl_cpardiso"
164 #define MATSOLVERPASTIX       "pastix"
165 #define MATSOLVERMATLAB       "matlab"
166 #define MATSOLVERPETSC        "petsc"
167 #define MATSOLVERBAS          "bas"
168 #define MATSOLVERCUSPARSE     "cusparse"
169 #define MATSOLVERCUDA         "cuda"
170 #define MATSOLVERHIPSPARSE    "hipsparse"
171 #define MATSOLVERHIP          "hip"
172 #define MATSOLVERKOKKOS       "kokkos"
173 #define MATSOLVERSPQR         "spqr"
174 
175 /*E
176     MatFactorType - indicates what type of factorization is requested
177 
178     Values:
179 +  `MAT_FACTOR_LU`       - LU factorization
180 .  `MAT_FACTOR_CHOLESKY` - Cholesky factorization
181 .  `MAT_FACTOR_ILU`      - ILU factorization
182 .  `MAT_FACTOR_ICC`      - incomplete Cholesky factorization
183 .  `MAT_FACTOR_ILUDT`    - ILU factorization with drop tolerance
184 -  `MAT_FACTOR_QR`       - QR factorization
185 
186     Level: beginner
187 
188 .seealso: [](ch_matrices), `MatSolverType`, `MatGetFactor()`, `MatGetFactorAvailable()`, `MatSolverTypeRegister()`
189 E*/
190 typedef enum {
191   MAT_FACTOR_NONE,
192   MAT_FACTOR_LU,
193   MAT_FACTOR_CHOLESKY,
194   MAT_FACTOR_ILU,
195   MAT_FACTOR_ICC,
196   MAT_FACTOR_ILUDT,
197   MAT_FACTOR_QR,
198   MAT_FACTOR_NUM_TYPES
199 } MatFactorType;
200 PETSC_EXTERN const char *const MatFactorTypes[];
201 
202 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat, MatSolverType, MatFactorType, Mat *);
203 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat, MatSolverType, MatFactorType, PetscBool *);
204 PETSC_EXTERN PetscErrorCode MatFactorGetCanUseOrdering(Mat, PetscBool *);
205 PETSC_DEPRECATED_FUNCTION(3, 15, 0, "MatFactorGetCanUseOrdering()", ) static inline PetscErrorCode MatFactorGetUseOrdering(Mat A, PetscBool *b)
206 {
207   return MatFactorGetCanUseOrdering(A, b);
208 }
209 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat, MatSolverType *);
210 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat, MatFactorType *);
211 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat, MatFactorType);
212 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(MatSolverFn)(Mat, MatFactorType, Mat *);
213 PETSC_EXTERN_TYPEDEF typedef MatSolverFn *MatSolverFunction;
214 
215 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType, MatType, MatFactorType, MatSolverFn *);
216 PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType, MatType, MatFactorType, PetscBool *, PetscBool *, MatSolverFn **);
217 typedef MatSolverType       MatSolverPackage PETSC_DEPRECATED_TYPEDEF(3, 9, 0, "MatSolverType", );
218 PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSolverTypeRegister()", ) static inline PetscErrorCode MatSolverPackageRegister(MatSolverType stype, MatType mtype, MatFactorType ftype, MatSolverFn *f)
219 {
220   return MatSolverTypeRegister(stype, mtype, ftype, f);
221 }
222 PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSolverTypeGet()", ) static inline PetscErrorCode MatSolverPackageGet(MatSolverType stype, MatType mtype, MatFactorType ftype, PetscBool *foundmtype, PetscBool *foundstype, MatSolverFn **f)
223 {
224   return MatSolverTypeGet(stype, mtype, ftype, foundmtype, foundstype, f);
225 }
226 
227 /*E
228     MatProductType - indicates what type of matrix product to compute
229 
230     Values:
231 +  `MATPRODUCT_AB`   - product of two matrices
232 .  `MATPRODUCT_AtB`  - product of the transpose of a given matrix with a matrix
233 .  `MATPRODUCT_ABt`  - product of a matrix with the transpose of another given matrix
234 .  `MATPRODUCT_PtAP` - the triple product of the transpose of a matrix with another matrix and itself
235 .  `MATPRODUCT_RARt` - the triple product of a matrix, another matrix and the transpose of the first matrix
236 -  `MATPRODUCT_ABC`  - the product of three matrices
237 
238     Level: beginner
239 
240 .seealso: [](sec_matmatproduct), [](ch_matrices), `MatProductSetType()`
241 E*/
242 typedef enum {
243   MATPRODUCT_UNSPECIFIED = 0,
244   MATPRODUCT_AB,
245   MATPRODUCT_AtB,
246   MATPRODUCT_ABt,
247   MATPRODUCT_PtAP,
248   MATPRODUCT_RARt,
249   MATPRODUCT_ABC
250 } MatProductType;
251 PETSC_EXTERN const char *const MatProductTypes[];
252 
253 /*J
254     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
255 
256    Level: beginner
257 
258 .seealso: [](sec_matmatproduct), [](ch_matrices), `MatSetType()`, `Mat`, `MatProductSetAlgorithm()`, `MatProductType`
259 J*/
260 typedef const char *MatProductAlgorithm;
261 #define MATPRODUCTALGORITHMDEFAULT         "default"
262 #define MATPRODUCTALGORITHMSORTED          "sorted"
263 #define MATPRODUCTALGORITHMSCALABLE        "scalable"
264 #define MATPRODUCTALGORITHMSCALABLEFAST    "scalable_fast"
265 #define MATPRODUCTALGORITHMHEAP            "heap"
266 #define MATPRODUCTALGORITHMBHEAP           "btheap"
267 #define MATPRODUCTALGORITHMLLCONDENSED     "llcondensed"
268 #define MATPRODUCTALGORITHMROWMERGE        "rowmerge"
269 #define MATPRODUCTALGORITHMOUTERPRODUCT    "outerproduct"
270 #define MATPRODUCTALGORITHMATB             "at*b"
271 #define MATPRODUCTALGORITHMRAP             "rap"
272 #define MATPRODUCTALGORITHMNONSCALABLE     "nonscalable"
273 #define MATPRODUCTALGORITHMSEQMPI          "seqmpi"
274 #define MATPRODUCTALGORITHMBACKEND         "backend"
275 #define MATPRODUCTALGORITHMOVERLAPPING     "overlapping"
276 #define MATPRODUCTALGORITHMMERGED          "merged"
277 #define MATPRODUCTALGORITHMALLATONCE       "allatonce"
278 #define MATPRODUCTALGORITHMALLATONCEMERGED "allatonce_merged"
279 #define MATPRODUCTALGORITHMALLGATHERV      "allgatherv"
280 #define MATPRODUCTALGORITHMCYCLIC          "cyclic"
281 #if defined(PETSC_HAVE_HYPRE)
282   #define MATPRODUCTALGORITHMHYPRE "hypre"
283 #endif
284 
285 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat, Mat, Mat, Mat *);
286 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat, Mat, Mat, Mat);
287 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat, MatProductType);
288 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat, MatProductAlgorithm);
289 PETSC_EXTERN PetscErrorCode MatProductGetAlgorithm(Mat, MatProductAlgorithm *);
290 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat, PetscReal);
291 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
292 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
293 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
294 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat, Mat, Mat, Mat);
295 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
296 PETSC_EXTERN PetscErrorCode MatProductView(Mat, PetscViewer);
297 PETSC_EXTERN PetscErrorCode MatProductGetType(Mat, MatProductType *);
298 PETSC_EXTERN PetscErrorCode MatProductGetMats(Mat, Mat *, Mat *, Mat *);
299 
300 /* Logging support */
301 #define MAT_FILE_CLASSID 1211216 /* used to indicate matrices in binary files */
302 PETSC_EXTERN PetscClassId MAT_CLASSID;
303 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
304 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
305 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
306 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
307 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
308 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
309 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
310 
311 /*E
312    MatReuse - Indicates if matrices obtained from a previous call to `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatConvert()` or several other functions
313    are to be reused to store the new matrix values.
314 
315    Values:
316 +  `MAT_INITIAL_MATRIX` - create a new matrix
317 .  `MAT_REUSE_MATRIX`   - reuse the matrix created with a previous call that used `MAT_INITIAL_MATRIX`
318 .  `MAT_INPLACE_MATRIX` - replace the first input matrix with the new matrix (not applicable to all functions)
319 -  `MAT_IGNORE_MATRIX`  - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
320 
321     Level: beginner
322 
323 .seealso: [](ch_matrices), `Mat`, `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatDestroyMatrices()`, `MatConvert()`
324 E*/
325 typedef enum {
326   MAT_INITIAL_MATRIX,
327   MAT_REUSE_MATRIX,
328   MAT_IGNORE_MATRIX,
329   MAT_INPLACE_MATRIX
330 } MatReuse;
331 
332 /*E
333     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to `MatCreateSubMatrices()`
334     include the matrix values. Currently it is only used by `MatGetSeqNonzeroStructure()`.
335 
336     Values:
337 +  `MAT_DO_NOT_GET_VALUES` - do not copy the matrix values
338 -  `MAT_GET_VALUES`        - copy the matrix values
339 
340     Level: developer
341 
342     Developer Note:
343     Why is not just a boolean used for this information?
344 
345 .seealso: [](ch_matrices), `Mat`, `MatDuplicateOption`, `PetscCopyMode`, `MatGetSeqNonzeroStructure()`
346 E*/
347 typedef enum {
348   MAT_DO_NOT_GET_VALUES,
349   MAT_GET_VALUES
350 } MatCreateSubMatrixOption;
351 
352 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
353 PETSC_EXTERN PetscErrorCode MatFinalizePackage(void);
354 
355 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm, Mat *);
356 PETSC_EXTERN PetscErrorCode MatCreateFromOptions(MPI_Comm, const char *, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
357 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat, PetscInt, PetscInt, PetscInt, PetscInt);
358 PETSC_EXTERN PetscErrorCode MatSetType(Mat, MatType);
359 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat, VecType *);
360 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat, VecType);
361 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
362 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat, PetscObject, const char[]);
363 PETSC_EXTERN PetscErrorCode MatRegister(const char[], PetscErrorCode (*)(Mat));
364 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[], const char[], const char[]);
365 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat, const char[]);
366 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefixFactor(Mat, const char[]);
367 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefixFactor(Mat, const char[]);
368 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat, const char[]);
369 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat, const char *[]);
370 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat, PetscBool);
371 
372 PETSC_EXTERN PetscFunctionList MatList;
373 PETSC_EXTERN PetscFunctionList MatColoringList;
374 PETSC_EXTERN PetscFunctionList MatPartitioningList;
375 
376 /*E
377    MatStructure - Indicates if two matrices have the same nonzero structure
378 
379    Values:
380 +  `SAME_NONZERO_PATTERN`      - the two matrices have identical nonzero patterns
381 .  `DIFFERENT_NONZERO_PATTERN` - the two matrices may have different nonzero patterns
382 .  `SUBSET_NONZERO_PATTERN`    - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
383 -  `UNKNOWN_NONZERO_PATTERN`   - there is no known relationship between the nonzero patterns. In this case the implementations
384                                  may try to detect a relationship to optimize the operation
385 
386    Level: beginner
387 
388    Note:
389    Certain matrix operations (such as `MatAXPY()`) can run much faster if the sparsity pattern of the matrices are the same. But actually determining if
390    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
391    to certain PETSc routines.
392 
393 .seealso: [](ch_matrices), `Mat`, `MatCopy()`, `MatAXPY()`, `MatAYPX()`
394 E*/
395 typedef enum {
396   DIFFERENT_NONZERO_PATTERN,
397   SUBSET_NONZERO_PATTERN,
398   SAME_NONZERO_PATTERN,
399   UNKNOWN_NONZERO_PATTERN
400 } MatStructure;
401 PETSC_EXTERN const char *const MatStructures[];
402 
403 #if defined PETSC_HAVE_MKL_SPARSE
404 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
405 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
406 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
407 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
408 #endif
409 
410 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJPERM(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
411 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJPERM(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
412 
413 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
414 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
415 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat, PetscInt, const PetscInt[]);
416 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
417 PETSC_EXTERN PetscErrorCode MatSeqSELLGetFillRatio(Mat, PetscReal *);
418 PETSC_EXTERN PetscErrorCode MatSeqSELLGetMaxSliceWidth(Mat, PetscInt *);
419 PETSC_EXTERN PetscErrorCode MatSeqSELLGetAvgSliceWidth(Mat, PetscReal *);
420 PETSC_EXTERN PetscErrorCode MatSeqSELLSetSliceHeight(Mat, PetscInt);
421 PETSC_EXTERN PetscErrorCode MatSeqSELLGetVarSliceSize(Mat, PetscReal *);
422 
423 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
424 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
425 PETSC_EXTERN PetscErrorCode MatMPISELLGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
426 PETSC_EXTERN PetscErrorCode MatMPISELLGetSeqSELL(Mat, Mat *, Mat *, const PetscInt *[]);
427 
428 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
429 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
430 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
431 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
432 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
433 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
434 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArray(Mat, const PetscScalar[]);
435 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], PetscInt[], PetscInt[], PetscScalar[], Mat *);
436 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm, Mat, Mat, const PetscInt[], Mat *);
437 
438 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
439 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
440 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
441 
442 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat, PetscCount, PetscInt[], PetscInt[]);
443 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat, PetscCount, PetscInt[], PetscInt[]);
444 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat, const PetscScalar[], InsertMode);
445 
446 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscInt[], Mat *);
447 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
448 
449 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
450 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
451 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
452 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
453 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], const PetscInt[]);
454 
455 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, void *, Mat *);
456 PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm, PetscInt, PetscInt, Mat *);
457 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat, Mat *);
458 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat, Mat *);
459 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat, Mat, Vec, Mat, Mat *);
460 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat, Mat *, Mat *, Vec *, Mat *);
461 PETSC_EXTERN PetscErrorCode MatLRCSetMats(Mat, Mat, Mat, Vec, Mat);
462 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, ISLocalToGlobalMapping, ISLocalToGlobalMapping, Mat *);
463 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
464 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
465 
466 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm, VecScatter, Mat *);
467 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat, VecScatter);
468 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat, VecScatter *);
469 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt *, Mat *);
470 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat, Mat);
471 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
472 typedef enum {
473   MAT_COMPOSITE_MERGE_RIGHT,
474   MAT_COMPOSITE_MERGE_LEFT
475 } MatCompositeMergeType;
476 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat, MatCompositeMergeType);
477 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm, PetscInt, const Mat *, Mat *);
478 /*E
479     MatCompositeType - indicates what type of `MATCOMPOSITE` is used
480 
481     Values:
482 +  `MAT_COMPOSITE_ADDITIVE`       - sum of matrices (default)
483 -  `MAT_COMPOSITE_MULTIPLICATIVE` - product of matrices
484 
485     Level: beginner
486 
487 .seealso: [](ch_matrices), `MATCOMPOSITE`, `MatCompositeSetType()`, `MatCompositeGetType()`
488 E*/
489 typedef enum {
490   MAT_COMPOSITE_ADDITIVE,
491   MAT_COMPOSITE_MULTIPLICATIVE
492 } MatCompositeType;
493 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat, MatCompositeType);
494 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat, MatCompositeType *);
495 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat, MatStructure);
496 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat, MatStructure *);
497 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat, PetscInt *);
498 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat, PetscInt, Mat *);
499 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat, const PetscScalar *);
500 
501 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm, PetscInt, const PetscInt[], MatType, Mat *);
502 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm, PetscInt, const PetscInt[], Mat *);
503 
504 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat, Mat *);
505 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat, Mat *);
506 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat, Mat *);
507 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat, Mat *);
508 PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat, Mat *);
509 PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat, Mat *);
510 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat, IS, IS, Mat *);
511 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat, Mat, IS, IS);
512 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat, IS, IS, Mat *);
513 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar, Mat *);
514 PETSC_EXTERN PetscErrorCode MatCreateDiagonal(Vec, Mat *);
515 PETSC_EXTERN PetscErrorCode MatDiagonalGetDiagonal(Mat, Vec *);
516 PETSC_EXTERN PetscErrorCode MatDiagonalRestoreDiagonal(Mat, Vec *);
517 PETSC_EXTERN PetscErrorCode MatDiagonalGetInverseDiagonal(Mat, Vec *);
518 PETSC_EXTERN PetscErrorCode MatDiagonalRestoreInverseDiagonal(Mat, Vec *);
519 
520 #if defined(PETSC_HAVE_HYPRE)
521 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
522 #endif
523 
524 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat, const char[]);
525 PETSC_EXTERN PetscErrorCode MatPythonGetType(Mat, const char *[]);
526 
527 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
528 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
529 PETSC_EXTERN PetscErrorCode MatDestroy(Mat *);
530 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat, PetscObjectState *);
531 
532 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
533 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
534 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
535 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat, Mat *);
536 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat, PetscScalar *);
537 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat, const PetscScalar **);
538 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat, PetscInt, const PetscInt *, PetscScalar *);
539 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat, Mat);
540 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat, MatReuse, Mat *);
541 PETSC_EXTERN PetscErrorCode MatComputeVariableBlockEnvelope(Mat);
542 
543 PETSC_EXTERN PetscErrorCode MatSetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
544 PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat, IS, IS, const PetscScalar[], InsertMode);
545 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
546 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat, PetscInt, const PetscScalar[]);
547 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat, PetscInt, const PetscScalar[]);
548 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt[], const PetscScalar[]);
549 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat, PetscRandom);
550 
551 /*S
552    MatStencil - Data structure (C struct) for storing information about rows and
553    columns of a matrix as indexed on an associated grid. These are arguments to `MatSetStencil()` and `MatSetBlockStencil()`
554 
555    Level: beginner
556 
557    Notes:
558    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).
559    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.
560 
561    For stencil access to vectors see `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`.
562 
563    For staggered grids, see `DMStagStencil`
564 
565    Fortran Note:
566    See `MatSetValuesStencil()` for details.
567 
568 .seealso: [](ch_matrices), `Mat`, `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`,
569           `DMStagStencil`
570 S*/
571 typedef struct {
572   PetscInt k, j, i, c;
573 } MatStencil;
574 
575 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
576 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
577 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat, PetscInt, const PetscInt[], const PetscInt[], PetscInt);
578 
579 /*E
580     MatAssemblyType - Indicates if the process of setting values into the matrix is complete, and the matrix is ready for use
581 
582     Values:
583 +   `MAT_FLUSH_ASSEMBLY` - you will continue to put values into the matrix
584 -   `MAT_FINAL_ASSEMBLY` - you wish to use the matrix with the values currently inserted
585 
586     Level: beginner
587 
588 .seealso: [](ch_matrices), `Mat`, `MatSetValues`, `MatAssemblyBegin()`, `MatAssemblyEnd()`
589 E*/
590 typedef enum {
591   MAT_FLUSH_ASSEMBLY = 1,
592   MAT_FINAL_ASSEMBLY = 0
593 } MatAssemblyType;
594 
595 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat, MatAssemblyType);
596 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat, MatAssemblyType);
597 PETSC_EXTERN PetscErrorCode MatAssembled(Mat, PetscBool *);
598 
599 /*E
600    MatOption - Options that may be set for a matrix that indicate properties of the matrix or affect its behavior or storage
601 
602    Level: beginner
603 
604    Note:
605    See `MatSetOption()` for the use of the options
606 
607    Developer Note:
608    Entries that are negative need not be called collectively by all processes.
609 
610 .seealso: [](ch_matrices), `Mat`, `MatSetOption()`
611 E*/
612 typedef enum {
613   MAT_OPTION_MIN                  = -3,
614   MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
615   MAT_ROW_ORIENTED                = -1,
616   MAT_SYMMETRIC                   = 1,
617   MAT_STRUCTURALLY_SYMMETRIC      = 2,
618   MAT_FORCE_DIAGONAL_ENTRIES      = 3,
619   MAT_IGNORE_OFF_PROC_ENTRIES     = 4,
620   MAT_USE_HASH_TABLE              = 5,
621   MAT_KEEP_NONZERO_PATTERN        = 6,
622   MAT_IGNORE_ZERO_ENTRIES         = 7,
623   MAT_USE_INODES                  = 8,
624   MAT_HERMITIAN                   = 9,
625   MAT_SYMMETRY_ETERNAL            = 10,
626   MAT_NEW_NONZERO_LOCATION_ERR    = 11,
627   MAT_IGNORE_LOWER_TRIANGULAR     = 12,
628   MAT_ERROR_LOWER_TRIANGULAR      = 13,
629   MAT_GETROW_UPPERTRIANGULAR      = 14,
630   MAT_SPD                         = 15,
631   MAT_NO_OFF_PROC_ZERO_ROWS       = 16,
632   MAT_NO_OFF_PROC_ENTRIES         = 17,
633   MAT_NEW_NONZERO_LOCATIONS       = 18,
634   MAT_NEW_NONZERO_ALLOCATION_ERR  = 19,
635   MAT_SUBSET_OFF_PROC_ENTRIES     = 20,
636   MAT_SUBMAT_SINGLEIS             = 21,
637   MAT_STRUCTURE_ONLY              = 22,
638   MAT_SORTED_FULL                 = 23,
639   MAT_FORM_EXPLICIT_TRANSPOSE     = 24,
640   MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
641   MAT_SPD_ETERNAL                 = 26,
642   MAT_OPTION_MAX                  = 27
643 } MatOption;
644 
645 PETSC_EXTERN const char *const *MatOptions;
646 PETSC_EXTERN PetscErrorCode     MatSetOption(Mat, MatOption, PetscBool);
647 PETSC_EXTERN PetscErrorCode     MatGetOption(Mat, MatOption, PetscBool *);
648 PETSC_EXTERN PetscErrorCode     MatPropagateSymmetryOptions(Mat, Mat);
649 PETSC_EXTERN PetscErrorCode     MatGetType(Mat, MatType *);
650 
651 PETSC_EXTERN PetscErrorCode    MatGetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
652 PETSC_EXTERN PetscErrorCode    MatGetRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
653 PETSC_EXTERN PetscErrorCode    MatRestoreRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
654 PETSC_EXTERN PetscErrorCode    MatGetRowUpperTriangular(Mat);
655 PETSC_EXTERN PetscErrorCode    MatRestoreRowUpperTriangular(Mat);
656 PETSC_EXTERN PetscErrorCode    MatGetColumnVector(Mat, Vec, PetscInt);
657 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArray(Mat, PetscScalar *[]);
658 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayRead(Mat, const PetscScalar *[]);
659 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayWrite(Mat, PetscScalar *[]);
660 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArray(Mat, PetscScalar *[]);
661 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayRead(Mat, const PetscScalar *[]);
662 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayWrite(Mat, PetscScalar *[]);
663 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetMaxRowNonzeros(Mat, PetscInt *);
664 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetValuesLocalFast(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
665 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetType(Mat, MatType);
666 PETSC_EXTERN PetscErrorCode    MatSeqAIJKron(Mat, Mat, MatReuse, Mat *);
667 PETSC_EXTERN PetscErrorCode    MatSeqAIJRegister(const char[], PetscErrorCode (*)(Mat, MatType, MatReuse, Mat *));
668 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
669 PETSC_EXTERN PetscErrorCode    MatSeqBAIJGetArray(Mat, PetscScalar *[]);
670 PETSC_EXTERN PetscErrorCode    MatSeqBAIJRestoreArray(Mat, PetscScalar *[]);
671 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJGetArray(Mat, PetscScalar *[]);
672 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJRestoreArray(Mat, PetscScalar *[]);
673 PETSC_EXTERN PetscErrorCode    MatDenseGetArray(Mat, PetscScalar *[]);
674 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArray(Mat, PetscScalar *[]);
675 PETSC_EXTERN PetscErrorCode    MatDensePlaceArray(Mat, const PetscScalar[]);
676 PETSC_EXTERN PetscErrorCode    MatDenseReplaceArray(Mat, const PetscScalar[]);
677 PETSC_EXTERN PetscErrorCode    MatDenseResetArray(Mat);
678 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayRead(Mat, const PetscScalar *[]);
679 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayRead(Mat, const PetscScalar *[]);
680 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWrite(Mat, PetscScalar *[]);
681 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWrite(Mat, PetscScalar *[]);
682 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayAndMemType(Mat, PetscScalar *[], PetscMemType *);
683 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayAndMemType(Mat, PetscScalar *[]);
684 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayReadAndMemType(Mat, const PetscScalar *[], PetscMemType *);
685 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayReadAndMemType(Mat, const PetscScalar *[]);
686 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWriteAndMemType(Mat, PetscScalar *[], PetscMemType *);
687 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWriteAndMemType(Mat, PetscScalar *[]);
688 PETSC_EXTERN PetscErrorCode    MatGetBlockSize(Mat, PetscInt *);
689 PETSC_EXTERN PetscErrorCode    MatSetBlockSize(Mat, PetscInt);
690 PETSC_EXTERN PetscErrorCode    MatGetBlockSizes(Mat, PetscInt *, PetscInt *);
691 PETSC_EXTERN PetscErrorCode    MatSetBlockSizes(Mat, PetscInt, PetscInt);
692 PETSC_EXTERN PetscErrorCode    MatSetBlockSizesFromMats(Mat, Mat, Mat);
693 PETSC_EXTERN PetscErrorCode    MatSetVariableBlockSizes(Mat, PetscInt, PetscInt *);
694 PETSC_EXTERN PetscErrorCode    MatGetVariableBlockSizes(Mat, PetscInt *, const PetscInt **);
695 
696 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat, PetscInt, PetscScalar *[]);
697 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat, PetscScalar *[]);
698 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat, PetscInt, Vec *);
699 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat, PetscInt, Vec *);
700 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat, PetscInt, Vec *);
701 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat, PetscInt, Vec *);
702 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat, PetscInt, Vec *);
703 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat, PetscInt, Vec *);
704 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
705 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat, Mat *);
706 
707 PETSC_EXTERN PetscErrorCode MatMult(Mat, Vec, Vec);
708 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat, Vec, Vec);
709 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat, Vec, Vec, Vec);
710 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat, Vec, Vec);
711 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat, Vec, Vec);
712 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat, Mat, PetscReal, PetscBool *);
713 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat, Mat, PetscReal, PetscBool *);
714 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat, Vec, Vec, Vec);
715 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat, Vec, Vec, Vec);
716 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat, Mat, Mat);
717 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat, Mat, Mat);
718 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat, Mat, Mat);
719 PETSC_EXTERN PetscErrorCode MatResidual(Mat, Vec, Vec, Vec);
720 
721 /*E
722   MatDuplicateOption - Indicates if a duplicated sparse matrix should have
723   its numerical values copied over or just its nonzero structure.
724 
725   Values:
726 + `MAT_DO_NOT_COPY_VALUES`    - Create a matrix using the same nonzero pattern as the original matrix,
727                                 with zeros for the numerical values
728 . `MAT_COPY_VALUES`           - Create a matrix with the same nonzero pattern as the original matrix
729                                 and with the same numerical values.
730 - `MAT_SHARE_NONZERO_PATTERN` - Create a matrix that shares the nonzero structure with the previous matrix
731                                 and does not copy it, using zeros for the numerical values. The parent and
732                                 child matrices will share their index (i and j) arrays, and you cannot
733                                 insert new nonzero entries into either matrix
734 
735   Level: beginner
736 
737   Note:
738   Many matrix types (including `MATSEQAIJ`) do not support the `MAT_SHARE_NONZERO_PATTERN` optimization; in
739   this case the behavior is as if `MAT_DO_NOT_COPY_VALUES` has been specified.
740 
741 .seealso: [](ch_matrices), `Mat`, `MatDuplicate()`
742 E*/
743 typedef enum {
744   MAT_DO_NOT_COPY_VALUES,
745   MAT_COPY_VALUES,
746   MAT_SHARE_NONZERO_PATTERN
747 } MatDuplicateOption;
748 
749 PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
750 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);
751 
752 PETSC_EXTERN PetscErrorCode MatCopy(Mat, Mat, MatStructure);
753 PETSC_EXTERN PetscErrorCode MatView(Mat, PetscViewer);
754 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat, PetscReal, PetscBool *);
755 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat, PetscBool *);
756 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat, PetscReal, PetscBool *);
757 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat, PetscBool *, PetscBool *);
758 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat, PetscBool *, PetscBool *);
759 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat, PetscBool *, PetscBool *);
760 PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat, PetscBool *, PetscBool *);
761 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat, PetscBool *, PetscInt *);
762 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
763 
764 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
765 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
766 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
767 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
768 
769 /*S
770    MatInfo - Context of matrix information, used with `MatGetInfo()`
771 
772    Level: intermediate
773 
774    Fortran Note:
775    Information is stored as a double-precision array of dimension `MAT_INFO_SIZE`
776 
777 .seealso: [](ch_matrices), `Mat`, `MatGetInfo()`, `MatInfoType`
778 S*/
779 typedef struct {
780   PetscLogDouble block_size;                          /* block size */
781   PetscLogDouble nz_allocated, nz_used, nz_unneeded;  /* number of nonzeros */
782   PetscLogDouble memory;                              /* memory allocated */
783   PetscLogDouble assemblies;                          /* number of matrix assemblies called */
784   PetscLogDouble mallocs;                             /* number of mallocs during MatSetValues() */
785   PetscLogDouble fill_ratio_given, fill_ratio_needed; /* fill ratio for LU/ILU */
786   PetscLogDouble factor_mallocs;                      /* number of mallocs during factorization */
787 } MatInfo;
788 
789 /*E
790     MatInfoType - Indicates if you want information about the local part of the matrix,
791     the entire parallel matrix or the maximum over all the local parts.
792 
793     Values:
794 +   `MAT_LOCAL`      - values for each MPI process part of the matrix
795 .   `MAT_GLOBAL_MAX` - maximum of each value over all MPI processes
796 -   `MAT_GLOBAL_SUM` - sum of each value over all MPI processes
797 
798     Level: beginner
799 
800 .seealso: [](ch_matrices), `MatGetInfo()`, `MatInfo`
801 E*/
802 typedef enum {
803   MAT_LOCAL      = 1,
804   MAT_GLOBAL_MAX = 2,
805   MAT_GLOBAL_SUM = 3
806 } MatInfoType;
807 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat, MatInfoType, MatInfo *);
808 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat, Vec);
809 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat, Vec, PetscInt[]);
810 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat, Vec, PetscInt[]);
811 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat, Vec, PetscInt[]);
812 PETSC_EXTERN PetscErrorCode MatGetRowSumAbs(Mat, Vec);
813 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat, Vec, PetscInt[]);
814 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat, Vec);
815 PETSC_EXTERN PetscErrorCode MatTranspose(Mat, MatReuse, Mat *);
816 PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat, Mat *);
817 PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat, Mat);
818 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat, MatReuse, Mat *);
819 PETSC_EXTERN PetscErrorCode MatPermute(Mat, IS, IS, Mat *);
820 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat, Vec, Vec);
821 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat, Vec, InsertMode);
822 
823 PETSC_EXTERN PetscErrorCode MatEqual(Mat, Mat, PetscBool *);
824 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat, Mat, PetscInt, PetscBool *);
825 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat, Mat, PetscInt, PetscBool *);
826 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
827 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
828 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
829 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
830 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
831 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
832 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
833 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
834 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
835 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat, PetscInt, PetscBool *);
836 
837 PETSC_EXTERN PetscErrorCode MatNorm(Mat, NormType, PetscReal *);
838 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat, NormType, PetscReal *);
839 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat, PetscScalar *);
840 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat, PetscReal *);
841 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat, PetscReal *);
842 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat, PetscScalar *);
843 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat, PetscReal *);
844 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat, PetscReal *);
845 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat, PetscInt, PetscReal *);
846 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
847 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
848 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
849 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat, IS, PetscScalar, Vec, Vec);
850 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
851 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
852 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
853 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat, IS, PetscScalar, Vec, Vec);
854 
855 PETSC_EXTERN PetscErrorCode MatGetSize(Mat, PetscInt *, PetscInt *);
856 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat, PetscInt *, PetscInt *);
857 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat, PetscInt *, PetscInt *);
858 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat, const PetscInt **);
859 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat, PetscInt *, PetscInt *);
860 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat, const PetscInt **);
861 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat, IS *, IS *);
862 
863 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
864 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[])
865 {
866   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
867 }
868 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
869 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[])
870 {
871   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
872 }
873 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
874 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
875 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
876 PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatrix()", ) static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat)
877 {
878   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
879 }
880 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
881 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
882 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
883 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);
884 
885 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm, Mat, PetscInt, PetscInt, MatReuse, Mat *);
886 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm, Mat, PetscInt, PetscInt, Mat *);
887 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat, Mat);
888 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat, MatReuse, Mat *);
889 PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat, Mat *);
890 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
891 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat, MatReuse, IS *, Mat *);
892 PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat, PetscCount *);
893 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat, Mat, MatReuse, IS *, IS *, Mat *);
894 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *, const PetscInt *[]);
895 
896 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
897 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat, PetscInt n, IS is[], PetscInt ov);
898 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);
899 
900 PETSC_EXTERN PetscErrorCode MatMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
901 
902 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
903 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
904 
905 PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
906 PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);
907 
908 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
909 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);
910 
911 PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
912 PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);
913 
914 PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
915 PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);
916 
917 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping, ISLocalToGlobalMapping);
918 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
919 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat, PetscLayout *, PetscLayout *);
920 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat, PetscLayout, PetscLayout);
921 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
922 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
923 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
924 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
925 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
926 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
927 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
928 
929 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
930 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);
931 
932 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat, Vec, Vec);
933 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat, Vec, Vec, Vec);
934 PETSC_EXTERN PetscErrorCode MatRestrict(Mat, Vec, Vec);
935 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat, Mat, Mat *);
936 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat, Mat, Mat, Mat *);
937 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat, Mat, Mat *);
938 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat, Vec *, Vec *);
939 PETSC_DEPRECATED_FUNCTION(3, 6, 0, "MatCreateVecs()", ) static inline PetscErrorCode MatGetVecs(Mat mat, Vec *x, Vec *y)
940 {
941   return MatCreateVecs(mat, x, y);
942 }
943 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat, PetscInt, MPI_Comm, MatReuse, Mat *);
944 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat, MPI_Comm, MatReuse, Mat *);
945 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat, IS *);
946 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat, IS *);
947 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm, Mat, PetscInt, MatReuse, Mat *);
948 
949 /*@C
950    MatSetValue - Set a single entry into a matrix.
951 
952    Not Collective
953 
954    Input Parameters:
955 +  mat  - the matrix
956 .  i    - the row location of the entry
957 .  j    - the column location of the entry
958 .  va   - the value to insert
959 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
960 
961    Level: beginner
962 
963    Notes:
964    This value may be cached, so `MatAssemblyBegin()` and `MatAssemblyEnd()`
965    MUST be called after all calls to `MatSetValue()` have been completed.
966 
967    For efficiency one should use `MatSetValues()` and set several values simultaneously.
968 
969 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `InsertMode`, `MatGetValue()`, `MatSetValues()`,
970           `MatSetValueLocal()`, `MatSetValuesLocal()`
971 @*/
972 static inline PetscErrorCode MatSetValue(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
973 {
974   return MatSetValues(mat, 1, &i, 1, &j, &va, mode);
975 }
976 
977 /*@C
978    MatGetValue - Gets a single value from a matrix
979 
980    Not Collective; can only return a value owned by the given process
981 
982    Input Parameters:
983 +  mat - the matrix
984 .  row - the row location of the entry
985 -  col - the column location of the entry
986 
987    Output Parameter:
988 .  va - the value
989 
990    Level: advanced
991 
992    Notes:
993    The matrix must have been assembled with `MatAssemblyBegin()` and `MatAssemblyEnd()` before this call
994 
995    For efficiency one should use `MatGetValues()` and get several values simultaneously.
996 
997    See notes for `MatGetValues()`.
998 
999 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
1000 @*/
1001 static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
1002 {
1003   return MatGetValues(mat, 1, &row, 1, &col, va);
1004 }
1005 
1006 /*@C
1007    MatSetValueLocal - Inserts or adds a single value into a matrix, using a local numbering of the nodes.
1008 
1009    Not Collective
1010 
1011    Input Parameters:
1012 +  mat  - the matrix
1013 .  i    - the row location of the entry
1014 .  j    - the column location of the entry
1015 .  va   - the value to insert
1016 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
1017 
1018    Level: intermediate
1019 
1020    Notes:
1021    For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.
1022 
1023    See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.
1024 
1025 .seealso: [](ch_matrices), `MatSetValue()`, `MatSetValuesLocal()`
1026 @*/
1027 static inline PetscErrorCode MatSetValueLocal(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
1028 {
1029   return MatSetValuesLocal(mat, 1, &i, 1, &j, &va, mode);
1030 }
1031 
1032 /*MC
1033    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
1034    row in a matrix providing the data that one can use to correctly preallocate the matrix.
1035 
1036    Synopsis:
1037    #include <petscmat.h>
1038    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
1039 
1040    Collective
1041 
1042    Input Parameters:
1043 +  comm  - the communicator that will share the eventually allocated matrix
1044 .  nrows - the number of LOCAL rows in the matrix
1045 -  ncols - the number of LOCAL columns in the matrix
1046 
1047    Output Parameters:
1048 +  dnz - the array that will be passed to the matrix preallocation routines
1049 -  onz - the other array passed to the matrix preallocation routines
1050 
1051    Level: deprecated (since v3.19)
1052 
1053    Notes:
1054    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1055    the use of this routine
1056 
1057    This is a macro that handles its own error checking, it does not return an error code.
1058 
1059    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1060 
1061    Developer Note:
1062    This is a MACRO, not a function, because it has a leading { that is closed by `PetscPreallocateFinalize()`.
1063 
1064 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1065           `MatPreallocateSymmetricSetLocalBlock()`
1066 M*/
1067 #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
1068   do { \
1069     PetscInt              __nrows = (nrows), __ncols = (ncols), __rstart, __end = 0; \
1070     PetscInt PETSC_UNUSED __start; \
1071     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
1072     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
1073     __start = __end - __ncols; \
1074     (void)__start; \
1075     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
1076   __rstart -= __nrows
1077 
1078 #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateBegin()", ) MatPreallocateBegin(__VA_ARGS__)
1079 
1080 /*MC
1081    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1082    inserted using a local number of the rows and columns
1083 
1084    Synopsis:
1085    #include <petscmat.h>
1086    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1087 
1088    Not Collective
1089 
1090    Input Parameters:
1091 +  map   - the row mapping from local numbering to global numbering
1092 .  nrows - the number of rows indicated
1093 .  rows  - the indices of the rows
1094 .  cmap  - the column mapping from local to global numbering
1095 .  ncols - the number of columns in the matrix
1096 .  cols  - the columns indicated
1097 .  dnz   - the array that will be passed to the matrix preallocation routines
1098 -  onz   - the other array passed to the matrix preallocation routines
1099 
1100    Level: deprecated (since v3.19)
1101 
1102    Notes:
1103    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1104    the use of this routine
1105 
1106    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1107 
1108 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1109           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
1110 M*/
1111 #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1112   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));)
1113 
1114 /*MC
1115    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1116    inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
1117 
1118    Synopsis:
1119    #include <petscmat.h>
1120    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1121 
1122    Not Collective
1123 
1124    Input Parameters:
1125 +  map   - the row mapping from local numbering to global numbering
1126 .  nrows - the number of rows indicated
1127 .  rows  - the indices of the rows (these values are mapped to the global values)
1128 .  cmap  - the column mapping from local to global numbering
1129 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1130 .  cols  - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1131 .  dnz   - the array that will be passed to the matrix preallocation routines
1132 -  onz   - the other array passed to the matrix preallocation routines
1133 
1134    Level: deprecated (since v3.19)
1135 
1136    Notes:
1137    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1138    the use of this routine
1139 
1140    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1141 
1142 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1143           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1144 M*/
1145 #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1146   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));)
1147 
1148 /*MC
1149    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1150    inserted using a local number of the rows and columns
1151 
1152    Synopsis:
1153    #include <petscmat.h>
1154    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1155 
1156    Not Collective
1157 
1158    Input Parameters:
1159 +  map   - the row mapping from local numbering to global numbering
1160 .  nrows - the number of rows indicated
1161 .  rows  - the indices of the rows
1162 .  cmap  - the column mapping from local to global numbering
1163 .  ncols - the number of columns in the matrix
1164 .  cols  - the columns indicated
1165 .  dnz   - the array that will be passed to the matrix preallocation routines
1166 -  onz   - the other array passed to the matrix preallocation routines
1167 
1168    Level: deprecated (since v3.19)
1169 
1170    Notes:
1171    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1172    the use of this routine
1173 
1174    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1175 
1176 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1177           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1178 M*/
1179 #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1180   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));)
1181 
1182 /*MC
1183    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1184    inserted using a local number of the rows and columns
1185 
1186    Synopsis:
1187    #include <petscmat.h>
1188    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1189 
1190    Not Collective
1191 
1192    Input Parameters:
1193 +  map   - the mapping between local numbering and global numbering
1194 .  nrows - the number of rows indicated
1195 .  rows  - the indices of the rows
1196 .  ncols - the number of columns in the matrix
1197 .  cols  - the columns indicated
1198 .  dnz   - the array that will be passed to the matrix preallocation routines
1199 -  onz   - the other array passed to the matrix preallocation routines
1200 
1201    Level: deprecated (since v3.19)
1202 
1203    Notes:
1204    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1205    the use of this routine
1206 
1207    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1208 
1209 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`
1210           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1211 M*/
1212 #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1213   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));)
1214 
1215 /*MC
1216    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1217    inserted using a local number of the rows and columns
1218 
1219    Synopsis:
1220    #include <petscmat.h>
1221    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1222 
1223    Not Collective
1224 
1225    Input Parameters:
1226 +  row   - the row
1227 .  ncols - the number of columns in the matrix
1228 -  cols  - the columns indicated
1229 
1230    Output Parameters:
1231 +  dnz - the array that will be passed to the matrix preallocation routines
1232 -  onz - the other array passed to the matrix preallocation routines
1233 
1234    Level: deprecated (since v3.19)
1235 
1236    Notes:
1237    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1238    the use of this routine
1239 
1240    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1241 
1242    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().
1243 
1244 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1245           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1246 M*/
1247 #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1248   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) { \
1249     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1250     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1251   })
1252 
1253 /*MC
1254    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1255    inserted using a local number of the rows and columns
1256 
1257    Synopsis:
1258    #include <petscmat.h>
1259    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1260 
1261    Not Collective
1262 
1263    Input Parameters:
1264 +  nrows - the number of rows indicated
1265 .  rows  - the indices of the rows
1266 .  ncols - the number of columns in the matrix
1267 .  cols  - the columns indicated
1268 .  dnz   - the array that will be passed to the matrix preallocation routines
1269 -  onz   - the other array passed to the matrix preallocation routines
1270 
1271    Level: deprecated (since v3.19)
1272 
1273    Notes:
1274    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1275    the use of this routine
1276 
1277    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1278 
1279    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().
1280 
1281 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1282           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1283 M*/
1284 #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1285   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
1286     if (cols[__i] >= __end) onz[row - __rstart]++; \
1287     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1288   })
1289 
1290 /*MC
1291    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1292 
1293    Synopsis:
1294    #include <petscmat.h>
1295    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1296 
1297    Not Collective
1298 
1299    Input Parameters:
1300 +  A     - matrix
1301 .  row   - row where values exist (must be local to this process)
1302 .  ncols - number of columns
1303 .  cols  - columns with nonzeros
1304 .  dnz   - the array that will be passed to the matrix preallocation routines
1305 -  onz   - the other array passed to the matrix preallocation routines
1306 
1307    Level: deprecated (since v3.19)
1308 
1309    Notes:
1310    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1311    the use of this routine
1312 
1313    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1314 
1315    Developer Note:
1316    This is a MACRO, not a function, because it uses a bunch of variables private to the MatPreallocation.... routines.
1317 
1318 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1319           `MatPreallocateSymmetricSetLocalBlock()`
1320 M*/
1321 #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))
1322 
1323 /*MC
1324    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1325    row in a matrix providing the data that one can use to correctly preallocate the matrix.
1326 
1327    Synopsis:
1328    #include <petscmat.h>
1329    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)
1330 
1331    Collective
1332 
1333    Input Parameters:
1334 +  dnz - the array that was be passed to the matrix preallocation routines
1335 -  onz - the other array passed to the matrix preallocation routines
1336 
1337    Level: deprecated (since v3.19)
1338 
1339    Notes:
1340    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1341    the use of this routine
1342 
1343    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1344 
1345    Developer Note:
1346    This is a MACRO, not a function, because it closes the { started in MatPreallocateBegin().
1347 
1348 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1349           `MatPreallocateSymmetricSetLocalBlock()`
1350 M*/
1351 #define MatPreallocateEnd(dnz, onz) \
1352   PetscCall(PetscFree2(dnz, onz)); \
1353   } \
1354   while (0)
1355 
1356 #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateEnd()", ) MatPreallocateEnd(__VA_ARGS__)
1357 
1358 /* Routines unique to particular data structures */
1359 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, void *);
1360 
1361 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1362 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);
1363 
1364 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1365 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1366 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1367 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1368 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1369 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscInt, PetscBool);
1370 
1371 #define MAT_SKIP_ALLOCATION -4
1372 
1373 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1374 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1375 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1376 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);
1377 
1378 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1379 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1380 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1381 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1382 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1383 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1384 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1385 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1386 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1387 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1388 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1389 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1390 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1391 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1392 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);
1393 
1394 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1395 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1396 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatDenseSetLDA()", ) static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
1397 {
1398   return MatDenseSetLDA(A, lda);
1399 }
1400 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);
1401 
1402 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1403 
1404 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1405 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1406 
1407 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1408 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1409 /*
1410   These routines are not usually accessed directly, rather solving is
1411   done through the KSP and PC interfaces.
1412 */
1413 
1414 /*J
1415    MatOrderingType - String with the name of a PETSc matrix ordering. These orderings are most commonly used
1416    to reduce fill in sparse factorizations.
1417 
1418    Level: beginner
1419 
1420    Notes:
1421    If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and instead the external factorization solver package called utilizes one
1422    of its own.
1423 
1424    There is no `MatOrdering` object, the ordering is obtained directly from the matrix with `MatGetOrdering()`
1425 
1426    Developer Note:
1427    This API should be converted to an API similar to those for `MatColoring` and `MatPartitioning`
1428 
1429 .seealso: [](ch_matrices), [](sec_graph), `MatGetFactor()`, `MatGetOrdering()`, `MatColoringType`, `MatPartitioningType`, `MatCoarsenType`, `MatCoarsenType`,
1430           `PCFactorSetOrderingType()`
1431 J*/
1432 typedef const char *MatOrderingType;
1433 #define MATORDERINGNATURAL       "natural"
1434 #define MATORDERINGND            "nd"
1435 #define MATORDERING1WD           "1wd"
1436 #define MATORDERINGRCM           "rcm"
1437 #define MATORDERINGQMD           "qmd"
1438 #define MATORDERINGROWLENGTH     "rowlength"
1439 #define MATORDERINGWBM           "wbm"
1440 #define MATORDERINGSPECTRAL      "spectral"
1441 #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1442 #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1443 #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 */
1444 #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */
1445 
1446 PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1447 PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1448 PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1449 PETSC_EXTERN PetscFunctionList MatOrderingList;
1450 
1451 #include "petscmatcoarsen.h"
1452 
1453 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1454 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);
1455 
1456 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);
1457 
1458 /*S
1459    MatFactorShiftType - Type of numeric shift used for factorizations
1460 
1461    Values:
1462 +  `MAT_SHIFT_NONE`              - do not shift the matrix diagonal entries
1463 .  `MAT_SHIFT_NONZERO`           - shift the entries to be non-zero
1464 .  `MAT_SHIFT_POSITIVE_DEFINITE` - shift the entries to force the factorization to be positive definite
1465 -  `MAT_SHIFT_INBLOCKS`          - only shift the factors inside the small dense diagonal blocks of the matrix, for example with `MATBAIJ`
1466 
1467    Level: intermediate
1468 
1469 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `PCFactorSetShiftType()`
1470 S*/
1471 typedef enum {
1472   MAT_SHIFT_NONE,
1473   MAT_SHIFT_NONZERO,
1474   MAT_SHIFT_POSITIVE_DEFINITE,
1475   MAT_SHIFT_INBLOCKS
1476 } MatFactorShiftType;
1477 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1478 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1479 
1480 /*S
1481     MatFactorError - indicates what type of error was generated in a matrix factorization
1482 
1483     Values:
1484 +   `MAT_FACTOR_NOERROR`           - there was no error during the factorization
1485 .   `MAT_FACTOR_STRUCT_ZEROPIVOT`  - there was a missing entry in a diagonal location of the matrix
1486 .   `MAT_FACTOR_NUMERIC_ZEROPIVOT` - there was a (near) zero pivot during the factorization
1487 .   `MAT_FACTOR_OUTMEMORY`         - the factorization has run out of memory
1488 -   `MAT_FACTOR_OTHER`             - some other error has occurred.
1489 
1490     Level: intermediate
1491 
1492     Note:
1493     When a factorization is done in a preconditioner `PC` the error may be propagated up to a `PCFailedReason` or a `KSPConvergedReason`
1494 
1495 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `MatFactorGetError()`, `MatFactorGetErrorZeroPivot()`, `MatFactorClearError()`,
1496           `PCFailedReason`, `PCGetFailedReason()`, `KSPConvergedReason`
1497 S*/
1498 typedef enum {
1499   MAT_FACTOR_NOERROR,
1500   MAT_FACTOR_STRUCT_ZEROPIVOT,
1501   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1502   MAT_FACTOR_OUTMEMORY,
1503   MAT_FACTOR_OTHER
1504 } MatFactorError;
1505 
1506 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1507 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1508 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);
1509 
1510 /*S
1511    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1512 
1513    Level: developer
1514 
1515    Note:
1516    You can use `MatFactorInfoInitialize()` to set default values.
1517 
1518    Fortran Note:
1519    The data is available in a double precision arrays of size `MAT_FACTORINFO_SIZE`
1520 
1521 .seealso: [](ch_matrices), `Mat`, `MatInfo`, `MatGetFactor()`, `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`,
1522           `MatICCFactorSymbolic()`, `MatICCFactor()`, `MatFactorInfoInitialize()`
1523 S*/
1524 typedef struct {
1525   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1526   PetscReal usedt;
1527   PetscReal dt;            /* drop tolerance */
1528   PetscReal dtcol;         /* tolerance for pivoting */
1529   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1530   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1531   PetscReal levels;        /* ICC/ILU(levels) */
1532   PetscReal pivotinblocks; /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1533                                    factorization may be faster if do not pivot */
1534   PetscReal zeropivot;     /* pivot is called zero if less than this */
1535   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1536   PetscReal shiftamount;   /* how large the shift is */
1537 } MatFactorInfo;
1538 
1539 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1540 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1541 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1542 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1543 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1544 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1545 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1546 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1547 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1548 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1549 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1550 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1551 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1552 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1553 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1554 PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1555 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1556 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1557 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1558 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1559 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1560 PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1561 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1562 
1563 typedef enum {
1564   MAT_FACTOR_SCHUR_UNFACTORED,
1565   MAT_FACTOR_SCHUR_FACTORED,
1566   MAT_FACTOR_SCHUR_INVERTED
1567 } MatFactorSchurStatus;
1568 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1569 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1570 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1571 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1572 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1573 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1574 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1575 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1576 
1577 PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1578 /*E
1579    MatSORType - What type of (S)SOR to perform
1580 
1581    Values:
1582 +  `SOR_FORWARD_SWEEP`         - do a sweep from the first row of the matrix to the last
1583 .  `SOR_BACKWARD_SWEEP`        - do a sweep from the last row to the first
1584 .  `SOR_SYMMETRIC_SWEEP`       - do a sweep from the first row to the last and then back to the first
1585 .  `SOR_LOCAL_FORWARD_SWEEP`   - each MPI process does its own forward sweep with no communication
1586 .  `SOR_LOCAL_BACKWARD_SWEEP`  - each MPI process does its own backward sweep with no communication
1587 .  `SOR_LOCAL_SYMMETRIC_SWEEP` - each MPI process does its own symmetric sweep with no communication
1588 .  `SOR_ZERO_INITIAL_GUESS`    - indicates the initial solution is zero so the sweep can avoid unneeded computation
1589 .  `SOR_EISENSTAT`             - apply the Eisentat application of SOR, see `PCEISENSTAT`
1590 .  `SOR_APPLY_UPPER`           - multiply by the upper triangular portion of the matrix
1591 -  `SOR_APPLY_LOWER`           - multiply by the lower triangular portion of the matrix
1592 
1593    Level: beginner
1594 
1595    Note:
1596    These may be bitwise ORd together
1597 
1598    Developer Note:
1599    Since `MatSORType` may be bitwise ORd together, so do not change the numerical values below
1600 
1601 .seealso: [](ch_matrices), `MatSOR()`
1602 E*/
1603 typedef enum {
1604   SOR_FORWARD_SWEEP         = 1,
1605   SOR_BACKWARD_SWEEP        = 2,
1606   SOR_SYMMETRIC_SWEEP       = 3,
1607   SOR_LOCAL_FORWARD_SWEEP   = 4,
1608   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1609   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1610   SOR_ZERO_INITIAL_GUESS    = 16,
1611   SOR_EISENSTAT             = 32,
1612   SOR_APPLY_UPPER           = 64,
1613   SOR_APPLY_LOWER           = 128
1614 } MatSORType;
1615 PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);
1616 
1617 /*S
1618    MatColoring - Object for managing the coloring of matrices.
1619 
1620    Level: beginner
1621 
1622    Notes:
1623    Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1624    matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).
1625 
1626    Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1627    same object can also be used to efficiently convert data created by Automatic Differentiation tools to PETSc sparse matrices.
1628 
1629 .seealso: [](ch_matrices), [](sec_graph), `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`,
1630           `MatPartitioning`, `MatColoringType`, `MatPartitioningType`, `MatOrderingType`, `MatColoringSetWeightType()`,
1631           `MatColoringSetWeights()`, `MatCoarsenType`, `MatCoarsen`
1632 S*/
1633 typedef struct _p_MatColoring *MatColoring;
1634 
1635 /*J
1636    MatColoringType - String with the name of a PETSc matrix coloring
1637 
1638    Level: beginner
1639 
1640 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatFDColoringCreate()`, `MatColoringSetType()`, `MatColoring`
1641 J*/
1642 typedef const char *MatColoringType;
1643 #define MATCOLORINGJP      "jp"
1644 #define MATCOLORINGPOWER   "power"
1645 #define MATCOLORINGNATURAL "natural"
1646 #define MATCOLORINGSL      "sl"
1647 #define MATCOLORINGLF      "lf"
1648 #define MATCOLORINGID      "id"
1649 #define MATCOLORINGGREEDY  "greedy"
1650 
1651 /*E
1652    MatColoringWeightType - Type of weight scheme used for the coloring algorithm
1653 
1654    Values:
1655 +  `MAT_COLORING_RANDOM`  - Random weights
1656 .  `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1657 -  `MAT_COLORING_LF`      - Last-first weighting.
1658 
1659     Level: intermediate
1660 
1661 .seealso: [](ch_matrices), `MatColoring`, `MatColoringCreate()`, `MatColoringSetWeightType()`, `MatColoringSetWeights()`
1662 E*/
1663 typedef enum {
1664   MAT_COLORING_WEIGHT_RANDOM,
1665   MAT_COLORING_WEIGHT_LEXICAL,
1666   MAT_COLORING_WEIGHT_LF,
1667   MAT_COLORING_WEIGHT_SL
1668 } MatColoringWeightType;
1669 
1670 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1671 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1672 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1673 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1674 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1675 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1676 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1677 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1678 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1679 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1680 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1681 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1682 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1683 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1684 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1685 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1686 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1687 PETSC_DEPRECATED_FUNCTION(3, 10, 0, "MatColoringTest()", ) static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
1688 {
1689   return MatColoringTest(matcoloring, iscoloring);
1690 }
1691 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);
1692 
1693 /*S
1694    MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring
1695 
1696    Level: beginner
1697 
1698    Notes:
1699    This object is creating utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`
1700 
1701    The `SNES` option `-snes_fd_coloring` will cause the Jacobian needed by `SNES` to be computed via a use of this object
1702 
1703 .seealso: [](ch_matrices), `Mat`, `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1704 S*/
1705 typedef struct _p_MatFDColoring *MatFDColoring;
1706 
1707 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1708 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1709 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1710 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, PetscErrorCode (*)(void), void *);
1711 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, PetscErrorCode (**)(void), void **);
1712 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1713 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1714 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1715 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1716 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1717 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1718 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1719 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);
1720 
1721 /*S
1722    MatTransposeColoring - Object for computing a sparse matrix product $C = A*B^T$ via coloring
1723 
1724    Level: developer
1725 
1726 .seealso: [](ch_matrices), `Mat`, `MatProductType`, `MatTransposeColoringCreate()`
1727 S*/
1728 typedef struct _p_MatTransposeColoring *MatTransposeColoring;
1729 
1730 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1731 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1732 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1733 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);
1734 
1735 /*S
1736    MatPartitioning - Object for managing the partitioning of a matrix or graph
1737 
1738    Level: beginner
1739 
1740    Note:
1741    There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1742    via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)
1743 
1744    Developer Note:
1745    It is an extra maintenance and documentation cost to have two objects with the same functionality. `PetscPartitioner` should be removed
1746 
1747 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`, `MatOrderingType`,
1748           `MatCoarsenType`, `MatCoarsenType`
1749 S*/
1750 typedef struct _p_MatPartitioning *MatPartitioning;
1751 
1752 /*J
1753     MatPartitioningType - String with the name of a PETSc matrix partitioning
1754 
1755    Level: beginner
1756 dm
1757 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`, `MatColoringType`, `MatOrderingType`,
1758           `MatCoarsenType`, `MatCoarsenType`
1759 J*/
1760 typedef const char *MatPartitioningType;
1761 #define MATPARTITIONINGCURRENT  "current"
1762 #define MATPARTITIONINGAVERAGE  "average"
1763 #define MATPARTITIONINGSQUARE   "square"
1764 #define MATPARTITIONINGPARMETIS "parmetis"
1765 #define MATPARTITIONINGCHACO    "chaco"
1766 #define MATPARTITIONINGPARTY    "party"
1767 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1768 #define MATPARTITIONINGHIERARCH "hierarch"
1769 
1770 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1771 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1772 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1773 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1774 PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1775 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1776 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1777 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1778 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1779 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1780 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1781 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1782 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1783 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1784 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1785 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1786 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1787 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1788 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);
1789 
1790 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1791 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1792 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1793 
1794 typedef enum {
1795   MP_CHACO_MULTILEVEL = 1,
1796   MP_CHACO_SPECTRAL   = 2,
1797   MP_CHACO_LINEAR     = 4,
1798   MP_CHACO_RANDOM     = 5,
1799   MP_CHACO_SCATTERED  = 6
1800 } MPChacoGlobalType;
1801 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1802 typedef enum {
1803   MP_CHACO_KERNIGHAN = 1,
1804   MP_CHACO_NONE      = 2
1805 } MPChacoLocalType;
1806 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1807 typedef enum {
1808   MP_CHACO_LANCZOS = 0,
1809   MP_CHACO_RQI     = 1
1810 } MPChacoEigenType;
1811 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1812 
1813 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1814 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1815 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1816 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1817 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1818 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1819 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1820 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1821 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1822 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1823 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);
1824 
1825 #define MP_PARTY_OPT "opt"
1826 #define MP_PARTY_LIN "lin"
1827 #define MP_PARTY_SCA "sca"
1828 #define MP_PARTY_RAN "ran"
1829 #define MP_PARTY_GBF "gbf"
1830 #define MP_PARTY_GCF "gcf"
1831 #define MP_PARTY_BUB "bub"
1832 #define MP_PARTY_DEF "def"
1833 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1834 #define MP_PARTY_HELPFUL_SETS  "hs"
1835 #define MP_PARTY_KERNIGHAN_LIN "kl"
1836 #define MP_PARTY_NONE          "no"
1837 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1838 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1839 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1840 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);
1841 
1842 typedef enum {
1843   MP_PTSCOTCH_DEFAULT,
1844   MP_PTSCOTCH_QUALITY,
1845   MP_PTSCOTCH_SPEED,
1846   MP_PTSCOTCH_BALANCE,
1847   MP_PTSCOTCH_SAFETY,
1848   MP_PTSCOTCH_SCALABILITY
1849 } MPPTScotchStrategyType;
1850 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1851 
1852 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1853 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1854 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1855 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);
1856 
1857 /*
1858  * hierarchical partitioning
1859  */
1860 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1861 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1862 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1863 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1864 
1865 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);
1866 
1867 /*
1868     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1869     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1870 */
1871 typedef enum {
1872   MATOP_SET_VALUES               = 0,
1873   MATOP_GET_ROW                  = 1,
1874   MATOP_RESTORE_ROW              = 2,
1875   MATOP_MULT                     = 3,
1876   MATOP_MULT_ADD                 = 4,
1877   MATOP_MULT_TRANSPOSE           = 5,
1878   MATOP_MULT_TRANSPOSE_ADD       = 6,
1879   MATOP_SOLVE                    = 7,
1880   MATOP_SOLVE_ADD                = 8,
1881   MATOP_SOLVE_TRANSPOSE          = 9,
1882   MATOP_SOLVE_TRANSPOSE_ADD      = 10,
1883   MATOP_LUFACTOR                 = 11,
1884   MATOP_CHOLESKYFACTOR           = 12,
1885   MATOP_SOR                      = 13,
1886   MATOP_TRANSPOSE                = 14,
1887   MATOP_GETINFO                  = 15,
1888   MATOP_EQUAL                    = 16,
1889   MATOP_GET_DIAGONAL             = 17,
1890   MATOP_DIAGONAL_SCALE           = 18,
1891   MATOP_NORM                     = 19,
1892   MATOP_ASSEMBLY_BEGIN           = 20,
1893   MATOP_ASSEMBLY_END             = 21,
1894   MATOP_SET_OPTION               = 22,
1895   MATOP_ZERO_ENTRIES             = 23,
1896   MATOP_ZERO_ROWS                = 24,
1897   MATOP_LUFACTOR_SYMBOLIC        = 25,
1898   MATOP_LUFACTOR_NUMERIC         = 26,
1899   MATOP_CHOLESKY_FACTOR_SYMBOLIC = 27,
1900   MATOP_CHOLESKY_FACTOR_NUMERIC  = 28,
1901   MATOP_SETUP                    = 29,
1902   MATOP_ILUFACTOR_SYMBOLIC       = 30,
1903   MATOP_ICCFACTOR_SYMBOLIC       = 31,
1904   MATOP_GET_DIAGONAL_BLOCK       = 32,
1905   MATOP_SET_INF                  = 33,
1906   MATOP_DUPLICATE                = 34,
1907   MATOP_FORWARD_SOLVE            = 35,
1908   MATOP_BACKWARD_SOLVE           = 36,
1909   MATOP_ILUFACTOR                = 37,
1910   MATOP_ICCFACTOR                = 38,
1911   MATOP_AXPY                     = 39,
1912   MATOP_CREATE_SUBMATRICES       = 40,
1913   MATOP_INCREASE_OVERLAP         = 41,
1914   MATOP_GET_VALUES               = 42,
1915   MATOP_COPY                     = 43,
1916   MATOP_GET_ROW_MAX              = 44,
1917   MATOP_SCALE                    = 45,
1918   MATOP_SHIFT                    = 46,
1919   MATOP_DIAGONAL_SET             = 47,
1920   MATOP_ZERO_ROWS_COLUMNS        = 48,
1921   MATOP_SET_RANDOM               = 49,
1922   MATOP_GET_ROW_IJ               = 50,
1923   MATOP_RESTORE_ROW_IJ           = 51,
1924   MATOP_GET_COLUMN_IJ            = 52,
1925   MATOP_RESTORE_COLUMN_IJ        = 53,
1926   MATOP_FDCOLORING_CREATE        = 54,
1927   MATOP_COLORING_PATCH           = 55,
1928   MATOP_SET_UNFACTORED           = 56,
1929   MATOP_PERMUTE                  = 57,
1930   MATOP_SET_VALUES_BLOCKED       = 58,
1931   MATOP_CREATE_SUBMATRIX         = 59,
1932   MATOP_DESTROY                  = 60,
1933   MATOP_VIEW                     = 61,
1934   MATOP_CONVERT_FROM             = 62,
1935   /* MATOP_PLACEHOLDER_63=63 */
1936   MATOP_MATMAT_MULT_SYMBOLIC    = 64,
1937   MATOP_MATMAT_MULT_NUMERIC     = 65,
1938   MATOP_SET_LOCAL_TO_GLOBAL_MAP = 66,
1939   MATOP_SET_VALUES_LOCAL        = 67,
1940   MATOP_ZERO_ROWS_LOCAL         = 68,
1941   MATOP_GET_ROW_MAX_ABS         = 69,
1942   MATOP_GET_ROW_MIN_ABS         = 70,
1943   MATOP_CONVERT                 = 71,
1944   MATOP_HAS_OPERATION           = 72,
1945   /* MATOP_PLACEHOLDER_73=73, */
1946   MATOP_SET_VALUES_ADIFOR = 74,
1947   MATOP_FD_COLORING_APPLY = 75,
1948   MATOP_SET_FROM_OPTIONS  = 76,
1949   /* MATOP_PLACEHOLDER_77=77, */
1950   /* MATOP_PLACEHOLDER_78=78, */
1951   MATOP_FIND_ZERO_DIAGONALS       = 79,
1952   MATOP_MULT_MULTIPLE             = 80,
1953   MATOP_SOLVE_MULTIPLE            = 81,
1954   MATOP_GET_INERTIA               = 82,
1955   MATOP_LOAD                      = 83,
1956   MATOP_IS_SYMMETRIC              = 84,
1957   MATOP_IS_HERMITIAN              = 85,
1958   MATOP_IS_STRUCTURALLY_SYMMETRIC = 86,
1959   MATOP_SET_VALUES_BLOCKEDLOCAL   = 87,
1960   MATOP_CREATE_VECS               = 88,
1961   /* MATOP_PLACEHOLDER_89=89, */
1962   MATOP_MAT_MULT_SYMBOLIC = 90,
1963   MATOP_MAT_MULT_NUMERIC  = 91,
1964   /* MATOP_PLACEHOLDER_92=92, */
1965   MATOP_PTAP_SYMBOLIC = 93,
1966   MATOP_PTAP_NUMERIC  = 94,
1967   /* MATOP_PLACEHOLDER_95=95, */
1968   MATOP_MAT_TRANSPOSE_MULT_SYMBO = 96,
1969   MATOP_MAT_TRANSPOSE_MULT_NUMER = 97,
1970   MATOP_BIND_TO_CPU              = 98,
1971   MATOP_PRODUCTSETFROMOPTIONS    = 99,
1972   MATOP_PRODUCTSYMBOLIC          = 100,
1973   MATOP_PRODUCTNUMERIC           = 101,
1974   MATOP_CONJUGATE                = 102,
1975   MATOP_VIEW_NATIVE              = 103,
1976   MATOP_SET_VALUES_ROW           = 104,
1977   MATOP_REAL_PART                = 105,
1978   MATOP_IMAGINARY_PART           = 106,
1979   MATOP_GET_ROW_UPPER_TRIANGULAR = 107,
1980   MATOP_RESTORE_ROW_UPPER_TRIANG = 108,
1981   MATOP_MAT_SOLVE                = 109,
1982   MATOP_MAT_SOLVE_TRANSPOSE      = 110,
1983   MATOP_GET_ROW_MIN              = 111,
1984   MATOP_GET_COLUMN_VECTOR        = 112,
1985   MATOP_MISSING_DIAGONAL         = 113,
1986   MATOP_GET_SEQ_NONZERO_STRUCTUR = 114,
1987   MATOP_CREATE                   = 115,
1988   MATOP_GET_GHOSTS               = 116,
1989   MATOP_GET_LOCAL_SUB_MATRIX     = 117,
1990   MATOP_RESTORE_LOCALSUB_MATRIX  = 118,
1991   MATOP_MULT_DIAGONAL_BLOCK      = 119,
1992   MATOP_HERMITIAN_TRANSPOSE      = 120,
1993   MATOP_MULT_HERMITIAN_TRANSPOSE = 121,
1994   MATOP_MULT_HERMITIAN_TRANS_ADD = 122,
1995   MATOP_GET_MULTI_PROC_BLOCK     = 123,
1996   MATOP_FIND_NONZERO_ROWS        = 124,
1997   MATOP_GET_COLUMN_NORMS         = 125,
1998   MATOP_INVERT_BLOCK_DIAGONAL    = 126,
1999   MATOP_INVERT_VBLOCK_DIAGONAL   = 127,
2000   MATOP_CREATE_SUB_MATRICES_MPI  = 128,
2001   MATOP_SET_VALUES_BATCH         = 129,
2002   /* MATOP_PLACEHOLDER_130=130, */
2003   MATOP_TRANSPOSE_MAT_MULT_SYMBO = 131,
2004   MATOP_TRANSPOSE_MAT_MULT_NUMER = 132,
2005   MATOP_TRANSPOSE_COLORING_CREAT = 133,
2006   MATOP_TRANS_COLORING_APPLY_SPT = 134,
2007   MATOP_TRANS_COLORING_APPLY_DEN = 135,
2008   /* MATOP_PLACEHOLDER_136=136, */
2009   MATOP_RART_SYMBOLIC         = 137,
2010   MATOP_RART_NUMERIC          = 138,
2011   MATOP_SET_BLOCK_SIZES       = 139,
2012   MATOP_AYPX                  = 140,
2013   MATOP_RESIDUAL              = 141,
2014   MATOP_FDCOLORING_SETUP      = 142,
2015   MATOP_FIND_OFFBLOCK_ENTRIES = 143,
2016   MATOP_MPICONCATENATESEQ     = 144,
2017   MATOP_DESTROYSUBMATRICES    = 145,
2018   MATOP_TRANSPOSE_SOLVE       = 146,
2019   MATOP_GET_VALUES_LOCAL      = 147
2020 } MatOperation;
2021 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, void (*)(void));
2022 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, void (**)(void));
2023 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
2024 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
2025 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatProductClear()", ) static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
2026 {
2027   return MatProductClear(A);
2028 }
2029 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, void (*)(void));
2030 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, void (**)(void));
2031 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, void *);
2032 PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscErrorCode (*)(void *));
2033 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
2034 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2035 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2036 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
2037 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscErrorCode (*)(void *), MatType, MatType);
2038 PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);
2039 
2040 /*
2041    Codes for matrices stored on disk. By default they are
2042    stored in a universal format. By changing the format with
2043    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
2044    be stored in a way natural for the matrix, for example dense matrices
2045    would be stored as dense. Matrices stored this way may only be
2046    read into matrices of the same type.
2047 */
2048 #define MATRIX_BINARY_FORMAT_DENSE -1
2049 
2050 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);
2051 
2052 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
2053 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
2054 PETSC_EXTERN PetscErrorCode MatISSetAllowRepeated(Mat, PetscBool);
2055 PETSC_EXTERN PetscErrorCode MatISGetAllowRepeated(Mat, PetscBool *);
2056 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
2057 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
2058 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
2059 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
2060 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
2061 PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
2062 
2063 /*S
2064    MatNullSpace - Object that removes a null space from a vector, i.e.
2065                   orthogonalizes the vector to a subspace
2066 
2067    Level: advanced
2068 
2069 .seealso: [](ch_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2070 S*/
2071 typedef struct _p_MatNullSpace *MatNullSpace;
2072 
2073 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
2074 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, PetscErrorCode (*)(MatNullSpace, Vec, void *), void *);
2075 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
2076 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
2077 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
2078 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
2079 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
2080 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
2081 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
2082 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
2083 PETSC_EXTERN PetscErrorCode MatGetNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2084 PETSC_EXTERN PetscErrorCode MatRestoreNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2085 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
2086 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
2087 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
2088 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);
2089 
2090 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
2091 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
2092 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);
2093 
2094 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
2095 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
2096 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);
2097 
2098 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
2099 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);
2100 
2101 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperator()", ) static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
2102 {
2103   return MatComputeOperator(A, PETSC_NULLPTR, B);
2104 }
2105 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperatorTranspose()", ) static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
2106 {
2107   return MatComputeOperatorTranspose(A, PETSC_NULLPTR, B);
2108 }
2109 
2110 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
2111 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
2112 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
2113 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2114 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
2115 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
2116 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
2117 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2118 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
2119 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
2120 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
2121 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
2122 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
2123 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);
2124 
2125 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);
2126 
2127 PETSC_EXTERN PetscErrorCode MatMFFDInitializePackage(void);
2128 PETSC_EXTERN PetscErrorCode MatMFFDFinalizePackage(void);
2129 
2130 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2131 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
2132 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, PetscErrorCode (*)(void *, Vec, Vec), void *);
2133 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, PetscErrorCode (*)(void *, PetscInt, Vec, PetscScalar *));
2134 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, PetscErrorCode (*)(void *, Vec));
2135 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
2136 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
2137 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
2138 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
2139 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
2140 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
2141 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
2142 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, PetscErrorCode (*)(void *, Vec, Vec, PetscScalar *), void *);
2143 
2144 /*S
2145     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2146               Jacobian vector products
2147 
2148     Level: developer
2149 
2150     Notes:
2151     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure
2152 
2153      MatMFFD*() methods actually take the `Mat` as their first argument. Not a `MatMFFD` data structure
2154 
2155     This functionality is often obtained using `MatCreateSNESMF()` or with `SNES` solvers using `-snes_mf` or `-snes_mf_operator`
2156 
2157 .seealso: [](ch_matrices), `MatMFFDType`, `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`,
2158           `MatCreateSNESMF()`, `SNES`, `-snes_mf`, `-snes_mf_operator`
2159 S*/
2160 typedef struct _p_MatMFFD *MatMFFD;
2161 
2162 /*J
2163    MatMFFDType - algorithm used to compute the `h` used in computing matrix-vector products via differencing of a function
2164 
2165    Values:
2166 +   `MATMFFD_DS` - an algorithm described by Dennis and Schnabel {cite}`dennis:83`
2167 -   `MATMFFD_WP` - the Walker-Pernice {cite}`pw98` strategy.
2168 
2169    Level: beginner
2170 
2171 .seealso: [](ch_matrices), `MatMFFDSetType()`, `MatMFFDRegister()`, `MatMFFDSetFunction()`, `MatCreateMFFD()`
2172 J*/
2173 typedef const char *MatMFFDType;
2174 #define MATMFFD_DS "ds"
2175 #define MATMFFD_WP "wp"
2176 
2177 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2178 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));
2179 
2180 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2181 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);
2182 
2183 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);
2184 
2185 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2186 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
2187 
2188 #ifdef PETSC_HAVE_H2OPUS
2189 PETSC_EXTERN_TYPEDEF typedef PetscScalar(MatH2OpusKernelFn)(PetscInt, PetscReal[], PetscReal[], void *);
2190 PETSC_EXTERN_TYPEDEF typedef MatH2OpusKernelFn *MatH2OpusKernel;
2191 PETSC_EXTERN PetscErrorCode                     MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernelFn *, void *, PetscReal, PetscInt, PetscInt, Mat *);
2192 PETSC_EXTERN PetscErrorCode                     MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2193 PETSC_EXTERN PetscErrorCode                     MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2194 PETSC_EXTERN PetscErrorCode                     MatH2OpusOrthogonalize(Mat);
2195 PETSC_EXTERN PetscErrorCode                     MatH2OpusCompress(Mat, PetscReal);
2196 PETSC_EXTERN PetscErrorCode                     MatH2OpusSetNativeMult(Mat, PetscBool);
2197 PETSC_EXTERN PetscErrorCode                     MatH2OpusGetNativeMult(Mat, PetscBool *);
2198 PETSC_EXTERN PetscErrorCode                     MatH2OpusGetIndexMap(Mat, IS *);
2199 PETSC_EXTERN PetscErrorCode                     MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2200 PETSC_EXTERN PetscErrorCode                     MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2201 #endif
2202 
2203 #ifdef PETSC_HAVE_HTOOL
2204 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(MatHtoolKernelFn)(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2205 PETSC_EXTERN_TYPEDEF typedef MatHtoolKernelFn *MatHtoolKernel;
2206 PETSC_EXTERN PetscErrorCode                    MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernelFn *, void *, Mat *);
2207 PETSC_EXTERN PetscErrorCode                    MatHtoolSetKernel(Mat, MatHtoolKernelFn *, void *);
2208 PETSC_EXTERN PetscErrorCode                    MatHtoolGetPermutationSource(Mat, IS *);
2209 PETSC_EXTERN PetscErrorCode                    MatHtoolGetPermutationTarget(Mat, IS *);
2210 PETSC_EXTERN PetscErrorCode                    MatHtoolUsePermutation(Mat, PetscBool);
2211 
2212 /*E
2213    MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`
2214 
2215    Values:
2216 +  `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2217 .  `MAT_HTOOL_COMPRESSOR_FULL_ACA`                 - full adaptive cross approximation
2218 -  `MAT_HTOOL_COMPRESSOR_SVD`                      - singular value decomposition
2219 
2220    Level: intermediate
2221 
2222 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2223 E*/
2224 typedef enum {
2225   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2226   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2227   MAT_HTOOL_COMPRESSOR_SVD
2228 } MatHtoolCompressorType;
2229 
2230 /*E
2231    MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`
2232 
2233    Values:
2234 +  `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default)    - axis computed via principle component analysis, split uniformly
2235 .  `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC`            - axis computed via principle component analysis, split barycentrically
2236 .  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR`   - axis along the largest extent of the bounding box, split uniformly
2237 -  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically
2238 
2239    Level: intermediate
2240 
2241    Note:
2242    Higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
2243 
2244 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2245 E*/
2246 typedef enum {
2247   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2248   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2249   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2250   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2251 } MatHtoolClusteringType;
2252 #endif
2253 
2254 #ifdef PETSC_HAVE_MUMPS
2255 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2256 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2257 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2258 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);
2259 
2260 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2261 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2262 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2263 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2264 PETSC_EXTERN PetscErrorCode MatMumpsGetNullPivots(Mat, PetscInt *, PetscInt **);
2265 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2266 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2267 #endif
2268 
2269 #ifdef PETSC_HAVE_MKL_PARDISO
2270 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2271 #endif
2272 
2273 #ifdef PETSC_HAVE_MKL_CPARDISO
2274 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2275 #endif
2276 
2277 #ifdef PETSC_HAVE_SUPERLU
2278 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2279 #endif
2280 
2281 #ifdef PETSC_HAVE_SUPERLU_DIST
2282 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2283 #endif
2284 
2285 #ifdef PETSC_HAVE_STRUMPACK
2286 /*E
2287     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `MATSOLVERSTRUMPACK`
2288 
2289     Values:
2290 +  `MAT_STRUMPACK_NATURAL`   - use the current ordering
2291 .  `MAT_STRUMPACK_METIS`     - use MeTis to compute an ordering
2292 .  `MAT_STRUMPACK_PARMETIS`  - use ParMeTis to compute an ordering
2293 .  `MAT_STRUMPACK_SCOTCH`    - use Scotch to compute an ordering
2294 .  `MAT_STRUMPACK_PTSCOTCH`  - use parallel Scotch to compute an ordering
2295 .  `MAT_STRUMPACK_RCM`       - use an RCM ordering
2296 .  `MAT_STRUMPACK_GEOMETRIC` - use a geometric ordering (needs mesh info from user)
2297 .  `MAT_STRUMPACK_AMD`       - approximate minimum degree
2298 .  `MAT_STRUMPACK_MMD`       - multiple minimum degree
2299 .  `MAT_STRUMPACK_AND`       - approximate nested dissection
2300 .  `MAT_STRUMPACK_MLF`       - minimum local fill
2301 -  `MAT_STRUMPACK_SPECTRAL`  - spectral nested dissection
2302 
2303     Level: intermediate
2304 
2305     Developer Note:
2306     Should be called `MatSTRUMPACKReorderingType`
2307 
2308 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetReordering()`
2309 E*/
2310 typedef enum {
2311   MAT_STRUMPACK_NATURAL,
2312   MAT_STRUMPACK_METIS,
2313   MAT_STRUMPACK_PARMETIS,
2314   MAT_STRUMPACK_SCOTCH,
2315   MAT_STRUMPACK_PTSCOTCH,
2316   MAT_STRUMPACK_RCM,
2317   MAT_STRUMPACK_GEOMETRIC,
2318   MAT_STRUMPACK_AMD,
2319   MAT_STRUMPACK_MMD,
2320   MAT_STRUMPACK_AND,
2321   MAT_STRUMPACK_MLF,
2322   MAT_STRUMPACK_SPECTRAL
2323 } MatSTRUMPACKReordering;
2324 
2325 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2326 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetReordering(Mat, MatSTRUMPACKReordering *);
2327 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricNxyz(Mat, PetscInt, PetscInt, PetscInt);
2328 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricComponents(Mat, PetscInt);
2329 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricWidth(Mat, PetscInt);
2330 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2331 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetColPerm(Mat, PetscBool *);
2332 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGPU(Mat, PetscBool);
2333 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetGPU(Mat, PetscBool *);
2334 
2335 /*E
2336     MatSTRUMPACKCompressionType - Compression used in the approximate sparse factorization solver `MATSOLVERSTRUMPACK`
2337 
2338     Values:
2339 +  `MAT_STRUMPACK_COMPRESSION_TYPE_NONE`          - no compression, direct solver
2340 .  `MAT_STRUMPACK_COMPRESSION_TYPE_HSS`           - hierarchically semi-separable
2341 .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR`           - block low rank
2342 .  `MAT_STRUMPACK_COMPRESSION_TYPE_HODLR`         - hierarchically off-diagonal low rank (requires ButterfyPACK support, configure with --download-butterflypack)
2343 .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR`     - hybrid of BLR and HODLR (requires ButterfyPACK support, configure with --download-butterflypack)
2344 .  `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)
2345 .  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS`      - lossless compression (requires ZFP support, configure with --download-zfp)
2346 -  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY`         - lossy compression (requires ZFP support, configure with --download-zfp)
2347 
2348     Level: intermediate
2349 
2350 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetCompression()`
2351 E*/
2352 typedef enum {
2353   MAT_STRUMPACK_COMPRESSION_TYPE_NONE,
2354   MAT_STRUMPACK_COMPRESSION_TYPE_HSS,
2355   MAT_STRUMPACK_COMPRESSION_TYPE_BLR,
2356   MAT_STRUMPACK_COMPRESSION_TYPE_HODLR,
2357   MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR,
2358   MAT_STRUMPACK_COMPRESSION_TYPE_ZFP_BLR_HODLR,
2359   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS,
2360   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY
2361 } MatSTRUMPACKCompressionType;
2362 
2363 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompression(Mat, MatSTRUMPACKCompressionType);
2364 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompression(Mat, MatSTRUMPACKCompressionType *);
2365 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompRelTol(Mat, PetscReal);
2366 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompRelTol(Mat, PetscReal *);
2367 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompAbsTol(Mat, PetscReal);
2368 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompAbsTol(Mat, PetscReal *);
2369 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompMinSepSize(Mat, PetscInt);
2370 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompMinSepSize(Mat, PetscInt *);
2371 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLeafSize(Mat, PetscInt);
2372 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLeafSize(Mat, PetscInt *);
2373 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLossyPrecision(Mat, PetscInt);
2374 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLossyPrecision(Mat, PetscInt *);
2375 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompButterflyLevels(Mat, PetscInt);
2376 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompButterflyLevels(Mat, PetscInt *);
2377 #endif
2378 
2379 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2380 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2381 PETSC_DEPRECATED_FUNCTION(3, 13, 0, "MatBindToCPU()", ) static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2382 {
2383   return MatBindToCPU(A, flg);
2384 }
2385 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2386 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);
2387 
2388 #ifdef PETSC_HAVE_CUDA
2389 /*E
2390     MatCUSPARSEStorageFormat - indicates the storage format for `MATAIJCUSPARSE` (GPU)
2391     matrices.
2392 
2393     Values:
2394 +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2395 .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2396 -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2397 
2398     Level: intermediate
2399 
2400 .seealso: [](ch_matrices), `MATAIJCUSPARSE`, `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2401 E*/
2402 
2403 typedef enum {
2404   MAT_CUSPARSE_CSR,
2405   MAT_CUSPARSE_ELL,
2406   MAT_CUSPARSE_HYB
2407 } MatCUSPARSEStorageFormat;
2408 
2409 /* these will be strings associated with enumerated type defined above */
2410 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2411 
2412 /*E
2413     MatCUSPARSEFormatOperation - indicates the operation of `MATAIJCUSPARSE` (GPU)
2414     matrices whose operation should use a particular storage format.
2415 
2416     Values:
2417 +   `MAT_CUSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2418 .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2419 .   `MAT_CUSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2420 -   `MAT_CUSPARSE_ALL`          - sets the storage format for all `MATAIJCUSPARSE` (GPU) matrices
2421 
2422     Level: intermediate
2423 
2424 .seealso: [](ch_matrices), `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2425 E*/
2426 typedef enum {
2427   MAT_CUSPARSE_MULT_DIAG,
2428   MAT_CUSPARSE_MULT_OFFDIAG,
2429   MAT_CUSPARSE_MULT,
2430   MAT_CUSPARSE_ALL
2431 } MatCUSPARSEFormatOperation;
2432 
2433 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2434 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2435 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2436 PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2437 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2438 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2439 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2440 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2441 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2442 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2443 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2444 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);
2445 
2446 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2447 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2448 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2449 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2450 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2451 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2452 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2453 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2454 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2455 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2456 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2457 PETSC_EXTERN PetscErrorCode MatDenseCUDASetPreallocation(Mat, PetscScalar *);
2458 
2459 PETSC_EXTERN PetscErrorCode MatCreateSeqSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2460 PETSC_EXTERN PetscErrorCode MatCreateSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2461 #endif
2462 
2463 #ifdef PETSC_HAVE_HIP
2464 /*E
2465     MatHIPSPARSEStorageFormat - indicates the storage format for `MATAIJHIPSPARSE` (GPU)
2466     matrices.
2467 
2468     Values:
2469 +   `MAT_HIPSPARSE_CSR` - Compressed Sparse Row
2470 .   `MAT_HIPSPARSE_ELL` - Ellpack
2471 -   `MAT_HIPSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format
2472 
2473     Level: intermediate
2474 
2475 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
2476 E*/
2477 
2478 typedef enum {
2479   MAT_HIPSPARSE_CSR,
2480   MAT_HIPSPARSE_ELL,
2481   MAT_HIPSPARSE_HYB
2482 } MatHIPSPARSEStorageFormat;
2483 
2484 /* these will be strings associated with enumerated type defined above */
2485 PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];
2486 
2487 /*E
2488     MatHIPSPARSEFormatOperation - indicates the operation of `MATAIJHIPSPARSE` (GPU)
2489     matrices whose operation should use a particular storage format.
2490 
2491     Values:
2492 +   `MAT_HIPSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2493 .   `MAT_HIPSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2494 .   `MAT_HIPSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2495 -   `MAT_HIPSPARSE_ALL`          - sets the storage format for all HIPSPARSE (GPU) matrices
2496 
2497     Level: intermediate
2498 
2499 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
2500 E*/
2501 typedef enum {
2502   MAT_HIPSPARSE_MULT_DIAG,
2503   MAT_HIPSPARSE_MULT_OFFDIAG,
2504   MAT_HIPSPARSE_MULT,
2505   MAT_HIPSPARSE_ALL
2506 } MatHIPSPARSEFormatOperation;
2507 
2508 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2509 PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2510 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
2511 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
2512 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2513 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2514 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
2515 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
2516 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
2517 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
2518 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
2519 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);
2520 
2521 PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2522 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2523 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
2524 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
2525 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
2526 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
2527 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
2528 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
2529 PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
2530 PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
2531 PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);
2532 PETSC_EXTERN PetscErrorCode MatDenseHIPSetPreallocation(Mat, PetscScalar *);
2533 #endif
2534 
2535 #if defined(PETSC_HAVE_VIENNACL)
2536 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2537 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2538 #endif
2539 
2540 #if PetscDefined(HAVE_KOKKOS)
2541 PETSC_EXTERN PetscErrorCode MatCreateAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2542 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2543 #endif
2544 
2545 #if defined(PETSC_HAVE_FFTW)
2546 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2547 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2548 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2549 #endif
2550 
2551 #if defined(PETSC_HAVE_SCALAPACK)
2552 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2553 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2554 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2555 #endif
2556 
2557 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2558 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2559 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2560 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2561 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2562 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2563 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2564 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2565 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);
2566 
2567 PETSC_EXTERN PetscErrorCode MatFilter(Mat, PetscReal, PetscBool, PetscBool);
2568 PETSC_DEPRECATED_FUNCTION(3, 20, 0, "MatFilter()", ) static inline PetscErrorCode MatChop(Mat A, PetscReal tol)
2569 {
2570   return MatFilter(A, tol, PETSC_FALSE, PETSC_FALSE);
2571 }
2572 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);
2573 
2574 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);
2575 
2576 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);
2577 
2578 PETSC_EXTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2579 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);
2580 
2581 PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);
2582 
2583 PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, PetscInt, PetscInt[], Mat *);
2584 PETSC_EXTERN PetscErrorCode MatEliminateZeros(Mat, PetscBool);
2585 
2586 PETSC_EXTERN PetscErrorCode MatCreateDenseFromVecType(MPI_Comm, VecType, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar *, Mat *);
2587 
2588 PETSC_EXTERN PetscErrorCode MatSetHPL(Mat, int);
2589 #define PETSCBMHPL "hpl"
2590