xref: /petsc/include/petscmat.h (revision dc9a610e8a93b2ceab441eb761644f4cbb77655c)
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 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat, MatAssemblyType);
595 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat, MatAssemblyType);
596 PETSC_EXTERN PetscErrorCode MatAssembled(Mat, PetscBool *);
597 
598 /*E
599    MatOption - Options that may be set for a matrix that indicate properties of the matrix or affect its behavior or storage
600 
601    Level: beginner
602 
603    Note:
604    See `MatSetOption()` for the use of the options
605 
606    Developer Note:
607    Entries that are negative need not be called collectively by all processes.
608 
609 .seealso: [](ch_matrices), `Mat`, `MatSetOption()`
610 E*/
611 typedef enum {
612   MAT_OPTION_MIN                  = -3,
613   MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
614   MAT_ROW_ORIENTED                = -1,
615   MAT_SYMMETRIC                   = 1,
616   MAT_STRUCTURALLY_SYMMETRIC      = 2,
617   MAT_FORCE_DIAGONAL_ENTRIES      = 3,
618   MAT_IGNORE_OFF_PROC_ENTRIES     = 4,
619   MAT_USE_HASH_TABLE              = 5,
620   MAT_KEEP_NONZERO_PATTERN        = 6,
621   MAT_IGNORE_ZERO_ENTRIES         = 7,
622   MAT_USE_INODES                  = 8,
623   MAT_HERMITIAN                   = 9,
624   MAT_SYMMETRY_ETERNAL            = 10,
625   MAT_NEW_NONZERO_LOCATION_ERR    = 11,
626   MAT_IGNORE_LOWER_TRIANGULAR     = 12,
627   MAT_ERROR_LOWER_TRIANGULAR      = 13,
628   MAT_GETROW_UPPERTRIANGULAR      = 14,
629   MAT_SPD                         = 15,
630   MAT_NO_OFF_PROC_ZERO_ROWS       = 16,
631   MAT_NO_OFF_PROC_ENTRIES         = 17,
632   MAT_NEW_NONZERO_LOCATIONS       = 18,
633   MAT_NEW_NONZERO_ALLOCATION_ERR  = 19,
634   MAT_SUBSET_OFF_PROC_ENTRIES     = 20,
635   MAT_SUBMAT_SINGLEIS             = 21,
636   MAT_STRUCTURE_ONLY              = 22,
637   MAT_SORTED_FULL                 = 23,
638   MAT_FORM_EXPLICIT_TRANSPOSE     = 24,
639   MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
640   MAT_SPD_ETERNAL                 = 26,
641   MAT_OPTION_MAX                  = 27
642 } MatOption;
643 
644 PETSC_EXTERN const char *const *MatOptions;
645 PETSC_EXTERN PetscErrorCode     MatSetOption(Mat, MatOption, PetscBool);
646 PETSC_EXTERN PetscErrorCode     MatGetOption(Mat, MatOption, PetscBool *);
647 PETSC_EXTERN PetscErrorCode     MatPropagateSymmetryOptions(Mat, Mat);
648 PETSC_EXTERN PetscErrorCode     MatGetType(Mat, MatType *);
649 
650 PETSC_EXTERN PetscErrorCode    MatGetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
651 PETSC_EXTERN PetscErrorCode    MatGetRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
652 PETSC_EXTERN PetscErrorCode    MatRestoreRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
653 PETSC_EXTERN PetscErrorCode    MatGetRowUpperTriangular(Mat);
654 PETSC_EXTERN PetscErrorCode    MatRestoreRowUpperTriangular(Mat);
655 PETSC_EXTERN PetscErrorCode    MatGetColumnVector(Mat, Vec, PetscInt);
656 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArray(Mat, PetscScalar *[]);
657 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayRead(Mat, const PetscScalar *[]);
658 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayWrite(Mat, PetscScalar *[]);
659 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArray(Mat, PetscScalar *[]);
660 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayRead(Mat, const PetscScalar *[]);
661 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayWrite(Mat, PetscScalar *[]);
662 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetMaxRowNonzeros(Mat, PetscInt *);
663 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetValuesLocalFast(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
664 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetType(Mat, MatType);
665 PETSC_EXTERN PetscErrorCode    MatSeqAIJKron(Mat, Mat, MatReuse, Mat *);
666 PETSC_EXTERN PetscErrorCode    MatSeqAIJRegister(const char[], PetscErrorCode (*)(Mat, MatType, MatReuse, Mat *));
667 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
668 PETSC_EXTERN PetscErrorCode    MatSeqBAIJGetArray(Mat, PetscScalar *[]);
669 PETSC_EXTERN PetscErrorCode    MatSeqBAIJRestoreArray(Mat, PetscScalar *[]);
670 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJGetArray(Mat, PetscScalar *[]);
671 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJRestoreArray(Mat, PetscScalar *[]);
672 PETSC_EXTERN PetscErrorCode    MatDenseGetArray(Mat, PetscScalar *[]);
673 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArray(Mat, PetscScalar *[]);
674 PETSC_EXTERN PetscErrorCode    MatDensePlaceArray(Mat, const PetscScalar[]);
675 PETSC_EXTERN PetscErrorCode    MatDenseReplaceArray(Mat, const PetscScalar[]);
676 PETSC_EXTERN PetscErrorCode    MatDenseResetArray(Mat);
677 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayRead(Mat, const PetscScalar *[]);
678 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayRead(Mat, const PetscScalar *[]);
679 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWrite(Mat, PetscScalar *[]);
680 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWrite(Mat, PetscScalar *[]);
681 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayAndMemType(Mat, PetscScalar *[], PetscMemType *);
682 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayAndMemType(Mat, PetscScalar *[]);
683 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayReadAndMemType(Mat, const PetscScalar *[], PetscMemType *);
684 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayReadAndMemType(Mat, const PetscScalar *[]);
685 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWriteAndMemType(Mat, PetscScalar *[], PetscMemType *);
686 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWriteAndMemType(Mat, PetscScalar *[]);
687 PETSC_EXTERN PetscErrorCode    MatGetBlockSize(Mat, PetscInt *);
688 PETSC_EXTERN PetscErrorCode    MatSetBlockSize(Mat, PetscInt);
689 PETSC_EXTERN PetscErrorCode    MatGetBlockSizes(Mat, PetscInt *, PetscInt *);
690 PETSC_EXTERN PetscErrorCode    MatSetBlockSizes(Mat, PetscInt, PetscInt);
691 PETSC_EXTERN PetscErrorCode    MatSetBlockSizesFromMats(Mat, Mat, Mat);
692 PETSC_EXTERN PetscErrorCode    MatSetVariableBlockSizes(Mat, PetscInt, PetscInt *);
693 PETSC_EXTERN PetscErrorCode    MatGetVariableBlockSizes(Mat, PetscInt *, const PetscInt **);
694 
695 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat, PetscInt, PetscScalar *[]);
696 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat, PetscScalar *[]);
697 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat, PetscInt, Vec *);
698 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat, PetscInt, Vec *);
699 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat, PetscInt, Vec *);
700 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat, PetscInt, Vec *);
701 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat, PetscInt, Vec *);
702 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat, PetscInt, Vec *);
703 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
704 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat, Mat *);
705 
706 PETSC_EXTERN PetscErrorCode MatMult(Mat, Vec, Vec);
707 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat, Vec, Vec);
708 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat, Vec, Vec, Vec);
709 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat, Vec, Vec);
710 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat, Vec, Vec);
711 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat, Mat, PetscReal, PetscBool *);
712 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat, Mat, PetscReal, PetscBool *);
713 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat, Vec, Vec, Vec);
714 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat, Vec, Vec, Vec);
715 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat, Mat, Mat);
716 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat, Mat, Mat);
717 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat, Mat, Mat);
718 PETSC_EXTERN PetscErrorCode MatResidual(Mat, Vec, Vec, Vec);
719 
720 /*E
721   MatDuplicateOption - Indicates if a duplicated sparse matrix should have
722   its numerical values copied over or just its nonzero structure.
723 
724   Values:
725 + `MAT_DO_NOT_COPY_VALUES`    - Create a matrix using the same nonzero pattern as the original matrix,
726                                 with zeros for the numerical values
727 . `MAT_COPY_VALUES`           - Create a matrix with the same nonzero pattern as the original matrix
728                                 and with the same numerical values.
729 - `MAT_SHARE_NONZERO_PATTERN` - Create a matrix that shares the nonzero structure with the previous matrix
730                                 and does not copy it, using zeros for the numerical values. The parent and
731                                 child matrices will share their index (i and j) arrays, and you cannot
732                                 insert new nonzero entries into either matrix
733 
734   Level: beginner
735 
736   Note:
737   Many matrix types (including `MATSEQAIJ`) do not support the `MAT_SHARE_NONZERO_PATTERN` optimization; in
738   this case the behavior is as if `MAT_DO_NOT_COPY_VALUES` has been specified.
739 
740 .seealso: [](ch_matrices), `Mat`, `MatDuplicate()`
741 E*/
742 typedef enum {
743   MAT_DO_NOT_COPY_VALUES,
744   MAT_COPY_VALUES,
745   MAT_SHARE_NONZERO_PATTERN
746 } MatDuplicateOption;
747 
748 PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
749 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);
750 
751 PETSC_EXTERN PetscErrorCode MatCopy(Mat, Mat, MatStructure);
752 PETSC_EXTERN PetscErrorCode MatView(Mat, PetscViewer);
753 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat, PetscReal, PetscBool *);
754 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat, PetscBool *);
755 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat, PetscReal, PetscBool *);
756 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat, PetscBool *, PetscBool *);
757 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat, PetscBool *, PetscBool *);
758 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat, PetscBool *, PetscBool *);
759 PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat, PetscBool *, PetscBool *);
760 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat, PetscBool *, PetscInt *);
761 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
762 
763 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
764 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
765 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
766 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
767 
768 /*S
769    MatInfo - Context of matrix information, used with `MatGetInfo()`
770 
771    Level: intermediate
772 
773    Fortran Note:
774    Information is stored as a double-precision array of dimension `MAT_INFO_SIZE`
775 
776 .seealso: [](ch_matrices), `Mat`, `MatGetInfo()`, `MatInfoType`
777 S*/
778 typedef struct {
779   PetscLogDouble block_size;                          /* block size */
780   PetscLogDouble nz_allocated, nz_used, nz_unneeded;  /* number of nonzeros */
781   PetscLogDouble memory;                              /* memory allocated */
782   PetscLogDouble assemblies;                          /* number of matrix assemblies called */
783   PetscLogDouble mallocs;                             /* number of mallocs during MatSetValues() */
784   PetscLogDouble fill_ratio_given, fill_ratio_needed; /* fill ratio for LU/ILU */
785   PetscLogDouble factor_mallocs;                      /* number of mallocs during factorization */
786 } MatInfo;
787 
788 /*E
789     MatInfoType - Indicates if you want information about the local part of the matrix,
790     the entire parallel matrix or the maximum over all the local parts.
791 
792     Values:
793 +   `MAT_LOCAL`      - values for each MPI process part of the matrix
794 .   `MAT_GLOBAL_MAX` - maximum of each value over all MPI processes
795 -   `MAT_GLOBAL_SUM` - sum of each value over all MPI processes
796 
797     Level: beginner
798 
799 .seealso: [](ch_matrices), `MatGetInfo()`, `MatInfo`
800 E*/
801 typedef enum {
802   MAT_LOCAL      = 1,
803   MAT_GLOBAL_MAX = 2,
804   MAT_GLOBAL_SUM = 3
805 } MatInfoType;
806 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat, MatInfoType, MatInfo *);
807 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat, Vec);
808 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat, Vec, PetscInt[]);
809 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat, Vec, PetscInt[]);
810 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat, Vec, PetscInt[]);
811 PETSC_EXTERN PetscErrorCode MatGetRowSumAbs(Mat, Vec);
812 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat, Vec, PetscInt[]);
813 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat, Vec);
814 PETSC_EXTERN PetscErrorCode MatTranspose(Mat, MatReuse, Mat *);
815 PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat, Mat *);
816 PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat, Mat);
817 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat, MatReuse, Mat *);
818 PETSC_EXTERN PetscErrorCode MatPermute(Mat, IS, IS, Mat *);
819 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat, Vec, Vec);
820 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat, Vec, InsertMode);
821 
822 PETSC_EXTERN PetscErrorCode MatEqual(Mat, Mat, PetscBool *);
823 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat, Mat, PetscInt, PetscBool *);
824 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat, Mat, PetscInt, PetscBool *);
825 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
826 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
827 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
828 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
829 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
830 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
831 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
832 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
833 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
834 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat, PetscInt, PetscBool *);
835 
836 PETSC_EXTERN PetscErrorCode MatNorm(Mat, NormType, PetscReal *);
837 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat, NormType, PetscReal *);
838 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat, PetscScalar *);
839 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat, PetscReal *);
840 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat, PetscReal *);
841 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat, PetscScalar *);
842 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat, PetscReal *);
843 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat, PetscReal *);
844 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat, PetscInt, PetscReal *);
845 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
846 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
847 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
848 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat, IS, PetscScalar, Vec, Vec);
849 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
850 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
851 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
852 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat, IS, PetscScalar, Vec, Vec);
853 
854 PETSC_EXTERN PetscErrorCode MatGetSize(Mat, PetscInt *, PetscInt *);
855 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat, PetscInt *, PetscInt *);
856 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat, PetscInt *, PetscInt *);
857 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat, const PetscInt **);
858 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat, PetscInt *, PetscInt *);
859 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat, const PetscInt **);
860 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat, IS *, IS *);
861 
862 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
863 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[])
864 {
865   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
866 }
867 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
868 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[])
869 {
870   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
871 }
872 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
873 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
874 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
875 PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatrix()", ) static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat)
876 {
877   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
878 }
879 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
880 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
881 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
882 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);
883 
884 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm, Mat, PetscInt, PetscInt, MatReuse, Mat *);
885 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm, Mat, PetscInt, PetscInt, Mat *);
886 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat, Mat);
887 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat, MatReuse, Mat *);
888 PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat, Mat *);
889 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
890 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat, MatReuse, IS *, Mat *);
891 PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat, PetscCount *);
892 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat, Mat, MatReuse, IS *, IS *, Mat *);
893 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *, const PetscInt *[]);
894 
895 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
896 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat, PetscInt n, IS is[], PetscInt ov);
897 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);
898 
899 PETSC_EXTERN PetscErrorCode MatMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
900 
901 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
902 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
903 
904 PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
905 PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);
906 
907 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
908 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);
909 
910 PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
911 PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);
912 
913 PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
914 PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);
915 
916 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping, ISLocalToGlobalMapping);
917 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
918 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat, PetscLayout *, PetscLayout *);
919 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat, PetscLayout, PetscLayout);
920 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
921 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
922 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
923 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
924 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
925 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
926 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
927 
928 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
929 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);
930 
931 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat, Vec, Vec);
932 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat, Vec, Vec, Vec);
933 PETSC_EXTERN PetscErrorCode MatRestrict(Mat, Vec, Vec);
934 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat, Mat, Mat *);
935 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat, Mat, Mat, Mat *);
936 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat, Mat, Mat *);
937 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat, Vec *, Vec *);
938 PETSC_DEPRECATED_FUNCTION(3, 6, 0, "MatCreateVecs()", ) static inline PetscErrorCode MatGetVecs(Mat mat, Vec *x, Vec *y)
939 {
940   return MatCreateVecs(mat, x, y);
941 }
942 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat, PetscInt, MPI_Comm, MatReuse, Mat *);
943 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat, MPI_Comm, MatReuse, Mat *);
944 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat, IS *);
945 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat, IS *);
946 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm, Mat, PetscInt, MatReuse, Mat *);
947 
948 /*@C
949    MatSetValue - Set a single entry into a matrix.
950 
951    Not Collective
952 
953    Input Parameters:
954 +  mat  - the matrix
955 .  i    - the row location of the entry
956 .  j    - the column location of the entry
957 .  va   - the value to insert
958 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
959 
960    Level: beginner
961 
962    Notes:
963    This value may be cached, so `MatAssemblyBegin()` and `MatAssemblyEnd()`
964    MUST be called after all calls to `MatSetValue()` have been completed.
965 
966    For efficiency one should use `MatSetValues()` and set several values simultaneously.
967 
968 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `InsertMode`, `MatGetValue()`, `MatSetValues()`,
969           `MatSetValueLocal()`, `MatSetValuesLocal()`
970 @*/
971 static inline PetscErrorCode MatSetValue(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
972 {
973   return MatSetValues(mat, 1, &i, 1, &j, &va, mode);
974 }
975 
976 /*@C
977    MatGetValue - Gets a single value from a matrix
978 
979    Not Collective; can only return a value owned by the given process
980 
981    Input Parameters:
982 +  mat - the matrix
983 .  row - the row location of the entry
984 -  col - the column location of the entry
985 
986    Output Parameter:
987 .  va - the value
988 
989    Level: advanced
990 
991    Notes:
992    The matrix must have been assembled with `MatAssemblyBegin()` and `MatAssemblyEnd()` before this call
993 
994    For efficiency one should use `MatGetValues()` and get several values simultaneously.
995 
996    See notes for `MatGetValues()`.
997 
998 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
999 @*/
1000 static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
1001 {
1002   return MatGetValues(mat, 1, &row, 1, &col, va);
1003 }
1004 
1005 /*@C
1006    MatSetValueLocal - Inserts or adds a single value into a matrix, using a local numbering of the nodes.
1007 
1008    Not Collective
1009 
1010    Input Parameters:
1011 +  mat  - the matrix
1012 .  i    - the row location of the entry
1013 .  j    - the column location of the entry
1014 .  va   - the value to insert
1015 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
1016 
1017    Level: intermediate
1018 
1019    Notes:
1020    For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.
1021 
1022    See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.
1023 
1024 .seealso: [](ch_matrices), `MatSetValue()`, `MatSetValuesLocal()`
1025 @*/
1026 static inline PetscErrorCode MatSetValueLocal(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
1027 {
1028   return MatSetValuesLocal(mat, 1, &i, 1, &j, &va, mode);
1029 }
1030 
1031 /*MC
1032    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
1033    row in a matrix providing the data that one can use to correctly preallocate the matrix.
1034 
1035    Synopsis:
1036    #include <petscmat.h>
1037    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
1038 
1039    Collective
1040 
1041    Input Parameters:
1042 +  comm  - the communicator that will share the eventually allocated matrix
1043 .  nrows - the number of LOCAL rows in the matrix
1044 -  ncols - the number of LOCAL columns in the matrix
1045 
1046    Output Parameters:
1047 +  dnz - the array that will be passed to the matrix preallocation routines
1048 -  onz - the other array passed to the matrix preallocation routines
1049 
1050    Level: deprecated (since v3.19)
1051 
1052    Notes:
1053    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1054    the use of this routine
1055 
1056    This is a macro that handles its own error checking, it does not return an error code.
1057 
1058    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1059 
1060    Developer Note:
1061    This is a MACRO, not a function, because it has a leading { that is closed by `PetscPreallocateFinalize()`.
1062 
1063 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1064           `MatPreallocateSymmetricSetLocalBlock()`
1065 M*/
1066 #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
1067   do { \
1068     PetscInt              __nrows = (nrows), __ncols = (ncols), __rstart, __end = 0; \
1069     PetscInt PETSC_UNUSED __start; \
1070     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
1071     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
1072     __start = __end - __ncols; \
1073     (void)__start; \
1074     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
1075   __rstart -= __nrows
1076 
1077 #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateBegin()", ) MatPreallocateBegin(__VA_ARGS__)
1078 
1079 /*MC
1080    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1081    inserted using a local number of the rows and columns
1082 
1083    Synopsis:
1084    #include <petscmat.h>
1085    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1086 
1087    Not Collective
1088 
1089    Input Parameters:
1090 +  map   - the row mapping from local numbering to global numbering
1091 .  nrows - the number of rows indicated
1092 .  rows  - the indices of the rows
1093 .  cmap  - the column mapping from local to global numbering
1094 .  ncols - the number of columns in the matrix
1095 .  cols  - the columns indicated
1096 .  dnz   - the array that will be passed to the matrix preallocation routines
1097 -  onz   - the other array passed to the matrix preallocation routines
1098 
1099    Level: deprecated (since v3.19)
1100 
1101    Notes:
1102    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1103    the use of this routine
1104 
1105    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1106 
1107 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1108           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
1109 M*/
1110 #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1111   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));)
1112 
1113 /*MC
1114    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1115    inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
1116 
1117    Synopsis:
1118    #include <petscmat.h>
1119    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1120 
1121    Not Collective
1122 
1123    Input Parameters:
1124 +  map   - the row mapping from local numbering to global numbering
1125 .  nrows - the number of rows indicated
1126 .  rows  - the indices of the rows (these values are mapped to the global values)
1127 .  cmap  - the column mapping from local to global numbering
1128 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1129 .  cols  - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1130 .  dnz   - the array that will be passed to the matrix preallocation routines
1131 -  onz   - the other array passed to the matrix preallocation routines
1132 
1133    Level: deprecated (since v3.19)
1134 
1135    Notes:
1136    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1137    the use of this routine
1138 
1139    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1140 
1141 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1142           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1143 M*/
1144 #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1145   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));)
1146 
1147 /*MC
1148    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1149    inserted using a local number of the rows and columns
1150 
1151    Synopsis:
1152    #include <petscmat.h>
1153    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1154 
1155    Not Collective
1156 
1157    Input Parameters:
1158 +  map   - the row mapping from local numbering to global numbering
1159 .  nrows - the number of rows indicated
1160 .  rows  - the indices of the rows
1161 .  cmap  - the column mapping from local to global numbering
1162 .  ncols - the number of columns in the matrix
1163 .  cols  - the columns indicated
1164 .  dnz   - the array that will be passed to the matrix preallocation routines
1165 -  onz   - the other array passed to the matrix preallocation routines
1166 
1167    Level: deprecated (since v3.19)
1168 
1169    Notes:
1170    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1171    the use of this routine
1172 
1173    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1174 
1175 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1176           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1177 M*/
1178 #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1179   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));)
1180 
1181 /*MC
1182    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1183    inserted using a local number of the rows and columns
1184 
1185    Synopsis:
1186    #include <petscmat.h>
1187    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1188 
1189    Not Collective
1190 
1191    Input Parameters:
1192 +  map   - the mapping between local numbering and global numbering
1193 .  nrows - the number of rows indicated
1194 .  rows  - the indices of the rows
1195 .  ncols - the number of columns in the matrix
1196 .  cols  - the columns indicated
1197 .  dnz   - the array that will be passed to the matrix preallocation routines
1198 -  onz   - the other array passed to the matrix preallocation routines
1199 
1200    Level: deprecated (since v3.19)
1201 
1202    Notes:
1203    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1204    the use of this routine
1205 
1206    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1207 
1208 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`
1209           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1210 M*/
1211 #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1212   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));)
1213 
1214 /*MC
1215    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1216    inserted using a local number of the rows and columns
1217 
1218    Synopsis:
1219    #include <petscmat.h>
1220    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1221 
1222    Not Collective
1223 
1224    Input Parameters:
1225 +  row   - the row
1226 .  ncols - the number of columns in the matrix
1227 -  cols  - the columns indicated
1228 
1229    Output Parameters:
1230 +  dnz - the array that will be passed to the matrix preallocation routines
1231 -  onz - the other array passed to the matrix preallocation routines
1232 
1233    Level: deprecated (since v3.19)
1234 
1235    Notes:
1236    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1237    the use of this routine
1238 
1239    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1240 
1241    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().
1242 
1243 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1244           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1245 M*/
1246 #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1247   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) { \
1248     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1249     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1250   })
1251 
1252 /*MC
1253    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1254    inserted using a local number of the rows and columns
1255 
1256    Synopsis:
1257    #include <petscmat.h>
1258    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1259 
1260    Not Collective
1261 
1262    Input Parameters:
1263 +  nrows - the number of rows indicated
1264 .  rows  - the indices of the rows
1265 .  ncols - the number of columns in the matrix
1266 .  cols  - the columns indicated
1267 .  dnz   - the array that will be passed to the matrix preallocation routines
1268 -  onz   - the other array passed to the matrix preallocation routines
1269 
1270    Level: deprecated (since v3.19)
1271 
1272    Notes:
1273    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1274    the use of this routine
1275 
1276    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1277 
1278    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().
1279 
1280 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1281           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1282 M*/
1283 #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1284   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
1285     if (cols[__i] >= __end) onz[row - __rstart]++; \
1286     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1287   })
1288 
1289 /*MC
1290    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1291 
1292    Synopsis:
1293    #include <petscmat.h>
1294    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1295 
1296    Not Collective
1297 
1298    Input Parameters:
1299 +  A     - matrix
1300 .  row   - row where values exist (must be local to this process)
1301 .  ncols - number of columns
1302 .  cols  - columns with nonzeros
1303 .  dnz   - the array that will be passed to the matrix preallocation routines
1304 -  onz   - the other array passed to the matrix preallocation routines
1305 
1306    Level: deprecated (since v3.19)
1307 
1308    Notes:
1309    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1310    the use of this routine
1311 
1312    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1313 
1314    Developer Note:
1315    This is a MACRO, not a function, because it uses a bunch of variables private to the MatPreallocation.... routines.
1316 
1317 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1318           `MatPreallocateSymmetricSetLocalBlock()`
1319 M*/
1320 #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))
1321 
1322 /*MC
1323    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1324    row in a matrix providing the data that one can use to correctly preallocate the matrix.
1325 
1326    Synopsis:
1327    #include <petscmat.h>
1328    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)
1329 
1330    Collective
1331 
1332    Input Parameters:
1333 +  dnz - the array that was be passed to the matrix preallocation routines
1334 -  onz - the other array passed to the matrix preallocation routines
1335 
1336    Level: deprecated (since v3.19)
1337 
1338    Notes:
1339    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1340    the use of this routine
1341 
1342    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1343 
1344    Developer Note:
1345    This is a MACRO, not a function, because it closes the { started in MatPreallocateBegin().
1346 
1347 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1348           `MatPreallocateSymmetricSetLocalBlock()`
1349 M*/
1350 #define MatPreallocateEnd(dnz, onz) \
1351   PetscCall(PetscFree2(dnz, onz)); \
1352   } \
1353   while (0)
1354 
1355 #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateEnd()", ) MatPreallocateEnd(__VA_ARGS__)
1356 
1357 /* Routines unique to particular data structures */
1358 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, void *);
1359 
1360 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1361 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);
1362 
1363 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1364 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1365 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1366 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1367 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1368 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscInt, PetscBool);
1369 
1370 #define MAT_SKIP_ALLOCATION -4
1371 
1372 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1373 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1374 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1375 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);
1376 
1377 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1378 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1379 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1380 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1381 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1382 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1383 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1384 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1385 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1386 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1387 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1388 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1389 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1390 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1391 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);
1392 
1393 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1394 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1395 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatDenseSetLDA()", ) static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
1396 {
1397   return MatDenseSetLDA(A, lda);
1398 }
1399 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);
1400 
1401 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1402 
1403 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1404 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1405 
1406 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1407 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1408 /*
1409   These routines are not usually accessed directly, rather solving is
1410   done through the KSP and PC interfaces.
1411 */
1412 
1413 /*J
1414    MatOrderingType - String with the name of a PETSc matrix ordering. These orderings are most commonly used
1415    to reduce fill in sparse factorizations.
1416 
1417    Level: beginner
1418 
1419    Notes:
1420    If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and instead the external factorization solver package called utilizes one
1421    of its own.
1422 
1423    There is no `MatOrdering` object, the ordering is obtained directly from the matrix with `MatGetOrdering()`
1424 
1425    Developer Note:
1426    This API should be converted to an API similar to those for `MatColoring` and `MatPartitioning`
1427 
1428 .seealso: [](ch_matrices), [](sec_graph), `MatGetFactor()`, `MatGetOrdering()`, `MatColoringType`, `MatPartitioningType`, `MatCoarsenType`, `MatCoarsenType`,
1429           `PCFactorSetOrderingType()`
1430 J*/
1431 typedef const char *MatOrderingType;
1432 #define MATORDERINGNATURAL       "natural"
1433 #define MATORDERINGND            "nd"
1434 #define MATORDERING1WD           "1wd"
1435 #define MATORDERINGRCM           "rcm"
1436 #define MATORDERINGQMD           "qmd"
1437 #define MATORDERINGROWLENGTH     "rowlength"
1438 #define MATORDERINGWBM           "wbm"
1439 #define MATORDERINGSPECTRAL      "spectral"
1440 #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1441 #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1442 #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 */
1443 #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */
1444 
1445 PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1446 PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1447 PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1448 PETSC_EXTERN PetscFunctionList MatOrderingList;
1449 
1450 #include "petscmatcoarsen.h"
1451 
1452 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1453 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);
1454 
1455 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);
1456 
1457 /*S
1458    MatFactorShiftType - Type of numeric shift used for factorizations
1459 
1460    Values:
1461 +  `MAT_SHIFT_NONE`              - do not shift the matrix diagonal entries
1462 .  `MAT_SHIFT_NONZERO`           - shift the entries to be non-zero
1463 .  `MAT_SHIFT_POSITIVE_DEFINITE` - shift the entries to force the factorization to be positive definite
1464 -  `MAT_SHIFT_INBLOCKS`          - only shift the factors inside the small dense diagonal blocks of the matrix, for example with `MATBAIJ`
1465 
1466    Level: intermediate
1467 
1468 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `PCFactorSetShiftType()`
1469 S*/
1470 typedef enum {
1471   MAT_SHIFT_NONE,
1472   MAT_SHIFT_NONZERO,
1473   MAT_SHIFT_POSITIVE_DEFINITE,
1474   MAT_SHIFT_INBLOCKS
1475 } MatFactorShiftType;
1476 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1477 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1478 
1479 /*S
1480     MatFactorError - indicates what type of error was generated in a matrix factorization
1481 
1482     Values:
1483 +   `MAT_FACTOR_NOERROR`           - there was no error during the factorization
1484 .   `MAT_FACTOR_STRUCT_ZEROPIVOT`  - there was a missing entry in a diagonal location of the matrix
1485 .   `MAT_FACTOR_NUMERIC_ZEROPIVOT` - there was a (near) zero pivot during the factorization
1486 .   `MAT_FACTOR_OUTMEMORY`         - the factorization has run out of memory
1487 -   `MAT_FACTOR_OTHER`             - some other error has occurred.
1488 
1489     Level: intermediate
1490 
1491     Note:
1492     When a factorization is done in a preconditioner `PC` the error may be propagated up to a `PCFailedReason` or a `KSPConvergedReason`
1493 
1494 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `MatFactorGetError()`, `MatFactorGetErrorZeroPivot()`, `MatFactorClearError()`,
1495           `PCFailedReason`, `PCGetFailedReason()`, `KSPConvergedReason`
1496 S*/
1497 typedef enum {
1498   MAT_FACTOR_NOERROR,
1499   MAT_FACTOR_STRUCT_ZEROPIVOT,
1500   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1501   MAT_FACTOR_OUTMEMORY,
1502   MAT_FACTOR_OTHER
1503 } MatFactorError;
1504 
1505 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1506 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1507 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);
1508 
1509 /*S
1510    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1511 
1512    Level: developer
1513 
1514    Note:
1515    You can use `MatFactorInfoInitialize()` to set default values.
1516 
1517    Fortran Note:
1518    The data is available in a double precision arrays of size `MAT_FACTORINFO_SIZE`
1519 
1520 .seealso: [](ch_matrices), `Mat`, `MatInfo`, `MatGetFactor()`, `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`,
1521           `MatICCFactorSymbolic()`, `MatICCFactor()`, `MatFactorInfoInitialize()`
1522 S*/
1523 typedef struct {
1524   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1525   PetscReal usedt;
1526   PetscReal dt;            /* drop tolerance */
1527   PetscReal dtcol;         /* tolerance for pivoting */
1528   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1529   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1530   PetscReal levels;        /* ICC/ILU(levels) */
1531   PetscReal pivotinblocks; /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1532                                    factorization may be faster if do not pivot */
1533   PetscReal zeropivot;     /* pivot is called zero if less than this */
1534   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1535   PetscReal shiftamount;   /* how large the shift is */
1536 } MatFactorInfo;
1537 
1538 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1539 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1540 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1541 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1542 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1543 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1544 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1545 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1546 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1547 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1548 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1549 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1550 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1551 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1552 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1553 PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1554 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1555 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1556 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1557 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1558 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1559 PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1560 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1561 
1562 typedef enum {
1563   MAT_FACTOR_SCHUR_UNFACTORED,
1564   MAT_FACTOR_SCHUR_FACTORED,
1565   MAT_FACTOR_SCHUR_INVERTED
1566 } MatFactorSchurStatus;
1567 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1568 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1569 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1570 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1571 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1572 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1573 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1574 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1575 
1576 PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1577 /*E
1578    MatSORType - What type of (S)SOR to perform
1579 
1580    Values:
1581 +  `SOR_FORWARD_SWEEP`         - do a sweep from the first row of the matrix to the last
1582 .  `SOR_BACKWARD_SWEEP`        - do a sweep from the last row to the first
1583 .  `SOR_SYMMETRIC_SWEEP`       - do a sweep from the first row to the last and then back to the first
1584 .  `SOR_LOCAL_FORWARD_SWEEP`   - each MPI process does its own forward sweep with no communication
1585 .  `SOR_LOCAL_BACKWARD_SWEEP`  - each MPI process does its own backward sweep with no communication
1586 .  `SOR_LOCAL_SYMMETRIC_SWEEP` - each MPI process does its own symmetric sweep with no communication
1587 .  `SOR_ZERO_INITIAL_GUESS`    - indicates the initial solution is zero so the sweep can avoid unneeded computation
1588 .  `SOR_EISENSTAT`             - apply the Eisentat application of SOR, see `PCEISENSTAT`
1589 .  `SOR_APPLY_UPPER`           - multiply by the upper triangular portion of the matrix
1590 -  `SOR_APPLY_LOWER`           - multiply by the lower triangular portion of the matrix
1591 
1592    Level: beginner
1593 
1594    Note:
1595    These may be bitwise ORd together
1596 
1597    Developer Note:
1598    Since `MatSORType` may be bitwise ORd together, so do not change the numerical values below
1599 
1600 .seealso: [](ch_matrices), `MatSOR()`
1601 E*/
1602 typedef enum {
1603   SOR_FORWARD_SWEEP         = 1,
1604   SOR_BACKWARD_SWEEP        = 2,
1605   SOR_SYMMETRIC_SWEEP       = 3,
1606   SOR_LOCAL_FORWARD_SWEEP   = 4,
1607   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1608   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1609   SOR_ZERO_INITIAL_GUESS    = 16,
1610   SOR_EISENSTAT             = 32,
1611   SOR_APPLY_UPPER           = 64,
1612   SOR_APPLY_LOWER           = 128
1613 } MatSORType;
1614 PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);
1615 
1616 /*S
1617    MatColoring - Object for managing the coloring of matrices.
1618 
1619    Level: beginner
1620 
1621    Notes:
1622    Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1623    matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).
1624 
1625    Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1626    same object can also be used to efficiently convert data created by Automatic Differentiation tools to PETSc sparse matrices.
1627 
1628 .seealso: [](ch_matrices), [](sec_graph), `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`,
1629           `MatPartitioning`, `MatColoringType`, `MatPartitioningType`, `MatOrderingType`, `MatColoringSetWeightType()`,
1630           `MatColoringSetWeights()`, `MatCoarsenType`, `MatCoarsen`
1631 S*/
1632 typedef struct _p_MatColoring *MatColoring;
1633 
1634 /*J
1635    MatColoringType - String with the name of a PETSc matrix coloring
1636 
1637    Level: beginner
1638 
1639 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatFDColoringCreate()`, `MatColoringSetType()`, `MatColoring`
1640 J*/
1641 typedef const char *MatColoringType;
1642 #define MATCOLORINGJP      "jp"
1643 #define MATCOLORINGPOWER   "power"
1644 #define MATCOLORINGNATURAL "natural"
1645 #define MATCOLORINGSL      "sl"
1646 #define MATCOLORINGLF      "lf"
1647 #define MATCOLORINGID      "id"
1648 #define MATCOLORINGGREEDY  "greedy"
1649 
1650 /*E
1651    MatColoringWeightType - Type of weight scheme used for the coloring algorithm
1652 
1653    Values:
1654 +  `MAT_COLORING_RANDOM`  - Random weights
1655 .  `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1656 -  `MAT_COLORING_LF`      - Last-first weighting.
1657 
1658     Level: intermediate
1659 
1660 .seealso: [](ch_matrices), `MatColoring`, `MatColoringCreate()`, `MatColoringSetWeightType()`, `MatColoringSetWeights()`
1661 E*/
1662 typedef enum {
1663   MAT_COLORING_WEIGHT_RANDOM,
1664   MAT_COLORING_WEIGHT_LEXICAL,
1665   MAT_COLORING_WEIGHT_LF,
1666   MAT_COLORING_WEIGHT_SL
1667 } MatColoringWeightType;
1668 
1669 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1670 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1671 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1672 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1673 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1674 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1675 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1676 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1677 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1678 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1679 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1680 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1681 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1682 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1683 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1684 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1685 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1686 PETSC_DEPRECATED_FUNCTION(3, 10, 0, "MatColoringTest()", ) static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
1687 {
1688   return MatColoringTest(matcoloring, iscoloring);
1689 }
1690 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);
1691 
1692 /*S
1693    MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring
1694 
1695    Level: beginner
1696 
1697    Notes:
1698    This object is creating utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`
1699 
1700    The `SNES` option `-snes_fd_coloring` will cause the Jacobian needed by `SNES` to be computed via a use of this object
1701 
1702 .seealso: [](ch_matrices), `Mat`, `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1703 S*/
1704 typedef struct _p_MatFDColoring *MatFDColoring;
1705 
1706 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1707 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1708 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1709 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, PetscErrorCode (*)(void), void *);
1710 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, PetscErrorCode (**)(void), void **);
1711 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1712 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1713 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1714 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1715 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1716 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1717 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1718 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);
1719 
1720 /*S
1721    MatTransposeColoring - Object for computing a sparse matrix product $C = A*B^T$ via coloring
1722 
1723    Level: developer
1724 
1725 .seealso: [](ch_matrices), `Mat`, `MatProductType`, `MatTransposeColoringCreate()`
1726 S*/
1727 typedef struct _p_MatTransposeColoring *MatTransposeColoring;
1728 
1729 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1730 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1731 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1732 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);
1733 
1734 /*S
1735    MatPartitioning - Object for managing the partitioning of a matrix or graph
1736 
1737    Level: beginner
1738 
1739    Note:
1740    There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1741    via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)
1742 
1743    Developer Note:
1744    It is an extra maintenance and documentation cost to have two objects with the same functionality. `PetscPartitioner` should be removed
1745 
1746 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`, `MatOrderingType`,
1747           `MatCoarsenType`, `MatCoarsenType`
1748 S*/
1749 typedef struct _p_MatPartitioning *MatPartitioning;
1750 
1751 /*J
1752     MatPartitioningType - String with the name of a PETSc matrix partitioning
1753 
1754    Level: beginner
1755 dm
1756 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`, `MatColoringType`, `MatOrderingType`,
1757           `MatCoarsenType`, `MatCoarsenType`
1758 J*/
1759 typedef const char *MatPartitioningType;
1760 #define MATPARTITIONINGCURRENT  "current"
1761 #define MATPARTITIONINGAVERAGE  "average"
1762 #define MATPARTITIONINGSQUARE   "square"
1763 #define MATPARTITIONINGPARMETIS "parmetis"
1764 #define MATPARTITIONINGCHACO    "chaco"
1765 #define MATPARTITIONINGPARTY    "party"
1766 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1767 #define MATPARTITIONINGHIERARCH "hierarch"
1768 
1769 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1770 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1771 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1772 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1773 PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1774 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1775 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1776 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1777 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1778 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1779 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1780 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1781 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1782 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1783 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1784 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1785 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1786 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1787 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);
1788 
1789 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1790 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1791 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1792 
1793 typedef enum {
1794   MP_CHACO_MULTILEVEL = 1,
1795   MP_CHACO_SPECTRAL   = 2,
1796   MP_CHACO_LINEAR     = 4,
1797   MP_CHACO_RANDOM     = 5,
1798   MP_CHACO_SCATTERED  = 6
1799 } MPChacoGlobalType;
1800 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1801 typedef enum {
1802   MP_CHACO_KERNIGHAN = 1,
1803   MP_CHACO_NONE      = 2
1804 } MPChacoLocalType;
1805 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1806 typedef enum {
1807   MP_CHACO_LANCZOS = 0,
1808   MP_CHACO_RQI     = 1
1809 } MPChacoEigenType;
1810 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1811 
1812 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1813 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1814 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1815 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1816 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1817 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1818 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1819 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1820 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1821 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1822 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);
1823 
1824 #define MP_PARTY_OPT "opt"
1825 #define MP_PARTY_LIN "lin"
1826 #define MP_PARTY_SCA "sca"
1827 #define MP_PARTY_RAN "ran"
1828 #define MP_PARTY_GBF "gbf"
1829 #define MP_PARTY_GCF "gcf"
1830 #define MP_PARTY_BUB "bub"
1831 #define MP_PARTY_DEF "def"
1832 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1833 #define MP_PARTY_HELPFUL_SETS  "hs"
1834 #define MP_PARTY_KERNIGHAN_LIN "kl"
1835 #define MP_PARTY_NONE          "no"
1836 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1837 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1838 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1839 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);
1840 
1841 typedef enum {
1842   MP_PTSCOTCH_DEFAULT,
1843   MP_PTSCOTCH_QUALITY,
1844   MP_PTSCOTCH_SPEED,
1845   MP_PTSCOTCH_BALANCE,
1846   MP_PTSCOTCH_SAFETY,
1847   MP_PTSCOTCH_SCALABILITY
1848 } MPPTScotchStrategyType;
1849 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1850 
1851 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1852 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1853 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1854 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);
1855 
1856 /*
1857  * hierarchical partitioning
1858  */
1859 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1860 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1861 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1862 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1863 
1864 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);
1865 
1866 /*
1867     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1868     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1869 */
1870 typedef enum {
1871   MATOP_SET_VALUES               = 0,
1872   MATOP_GET_ROW                  = 1,
1873   MATOP_RESTORE_ROW              = 2,
1874   MATOP_MULT                     = 3,
1875   MATOP_MULT_ADD                 = 4,
1876   MATOP_MULT_TRANSPOSE           = 5,
1877   MATOP_MULT_TRANSPOSE_ADD       = 6,
1878   MATOP_SOLVE                    = 7,
1879   MATOP_SOLVE_ADD                = 8,
1880   MATOP_SOLVE_TRANSPOSE          = 9,
1881   MATOP_SOLVE_TRANSPOSE_ADD      = 10,
1882   MATOP_LUFACTOR                 = 11,
1883   MATOP_CHOLESKYFACTOR           = 12,
1884   MATOP_SOR                      = 13,
1885   MATOP_TRANSPOSE                = 14,
1886   MATOP_GETINFO                  = 15,
1887   MATOP_EQUAL                    = 16,
1888   MATOP_GET_DIAGONAL             = 17,
1889   MATOP_DIAGONAL_SCALE           = 18,
1890   MATOP_NORM                     = 19,
1891   MATOP_ASSEMBLY_BEGIN           = 20,
1892   MATOP_ASSEMBLY_END             = 21,
1893   MATOP_SET_OPTION               = 22,
1894   MATOP_ZERO_ENTRIES             = 23,
1895   MATOP_ZERO_ROWS                = 24,
1896   MATOP_LUFACTOR_SYMBOLIC        = 25,
1897   MATOP_LUFACTOR_NUMERIC         = 26,
1898   MATOP_CHOLESKY_FACTOR_SYMBOLIC = 27,
1899   MATOP_CHOLESKY_FACTOR_NUMERIC  = 28,
1900   MATOP_SETUP                    = 29,
1901   MATOP_ILUFACTOR_SYMBOLIC       = 30,
1902   MATOP_ICCFACTOR_SYMBOLIC       = 31,
1903   MATOP_GET_DIAGONAL_BLOCK       = 32,
1904   MATOP_SET_INF                  = 33,
1905   MATOP_DUPLICATE                = 34,
1906   MATOP_FORWARD_SOLVE            = 35,
1907   MATOP_BACKWARD_SOLVE           = 36,
1908   MATOP_ILUFACTOR                = 37,
1909   MATOP_ICCFACTOR                = 38,
1910   MATOP_AXPY                     = 39,
1911   MATOP_CREATE_SUBMATRICES       = 40,
1912   MATOP_INCREASE_OVERLAP         = 41,
1913   MATOP_GET_VALUES               = 42,
1914   MATOP_COPY                     = 43,
1915   MATOP_GET_ROW_MAX              = 44,
1916   MATOP_SCALE                    = 45,
1917   MATOP_SHIFT                    = 46,
1918   MATOP_DIAGONAL_SET             = 47,
1919   MATOP_ZERO_ROWS_COLUMNS        = 48,
1920   MATOP_SET_RANDOM               = 49,
1921   MATOP_GET_ROW_IJ               = 50,
1922   MATOP_RESTORE_ROW_IJ           = 51,
1923   MATOP_GET_COLUMN_IJ            = 52,
1924   MATOP_RESTORE_COLUMN_IJ        = 53,
1925   MATOP_FDCOLORING_CREATE        = 54,
1926   MATOP_COLORING_PATCH           = 55,
1927   MATOP_SET_UNFACTORED           = 56,
1928   MATOP_PERMUTE                  = 57,
1929   MATOP_SET_VALUES_BLOCKED       = 58,
1930   MATOP_CREATE_SUBMATRIX         = 59,
1931   MATOP_DESTROY                  = 60,
1932   MATOP_VIEW                     = 61,
1933   MATOP_CONVERT_FROM             = 62,
1934   /* MATOP_PLACEHOLDER_63=63 */
1935   MATOP_MATMAT_MULT_SYMBOLIC    = 64,
1936   MATOP_MATMAT_MULT_NUMERIC     = 65,
1937   MATOP_SET_LOCAL_TO_GLOBAL_MAP = 66,
1938   MATOP_SET_VALUES_LOCAL        = 67,
1939   MATOP_ZERO_ROWS_LOCAL         = 68,
1940   MATOP_GET_ROW_MAX_ABS         = 69,
1941   MATOP_GET_ROW_MIN_ABS         = 70,
1942   MATOP_CONVERT                 = 71,
1943   MATOP_HAS_OPERATION           = 72,
1944   /* MATOP_PLACEHOLDER_73=73, */
1945   MATOP_SET_VALUES_ADIFOR = 74,
1946   MATOP_FD_COLORING_APPLY = 75,
1947   MATOP_SET_FROM_OPTIONS  = 76,
1948   /* MATOP_PLACEHOLDER_77=77, */
1949   /* MATOP_PLACEHOLDER_78=78, */
1950   MATOP_FIND_ZERO_DIAGONALS       = 79,
1951   MATOP_MULT_MULTIPLE             = 80,
1952   MATOP_SOLVE_MULTIPLE            = 81,
1953   MATOP_GET_INERTIA               = 82,
1954   MATOP_LOAD                      = 83,
1955   MATOP_IS_SYMMETRIC              = 84,
1956   MATOP_IS_HERMITIAN              = 85,
1957   MATOP_IS_STRUCTURALLY_SYMMETRIC = 86,
1958   MATOP_SET_VALUES_BLOCKEDLOCAL   = 87,
1959   MATOP_CREATE_VECS               = 88,
1960   /* MATOP_PLACEHOLDER_89=89, */
1961   MATOP_MAT_MULT_SYMBOLIC = 90,
1962   MATOP_MAT_MULT_NUMERIC  = 91,
1963   /* MATOP_PLACEHOLDER_92=92, */
1964   MATOP_PTAP_SYMBOLIC = 93,
1965   MATOP_PTAP_NUMERIC  = 94,
1966   /* MATOP_PLACEHOLDER_95=95, */
1967   MATOP_MAT_TRANSPOSE_MULT_SYMBO = 96,
1968   MATOP_MAT_TRANSPOSE_MULT_NUMER = 97,
1969   MATOP_BIND_TO_CPU              = 98,
1970   MATOP_PRODUCTSETFROMOPTIONS    = 99,
1971   MATOP_PRODUCTSYMBOLIC          = 100,
1972   MATOP_PRODUCTNUMERIC           = 101,
1973   MATOP_CONJUGATE                = 102,
1974   MATOP_VIEW_NATIVE              = 103,
1975   MATOP_SET_VALUES_ROW           = 104,
1976   MATOP_REAL_PART                = 105,
1977   MATOP_IMAGINARY_PART           = 106,
1978   MATOP_GET_ROW_UPPER_TRIANGULAR = 107,
1979   MATOP_RESTORE_ROW_UPPER_TRIANG = 108,
1980   MATOP_MAT_SOLVE                = 109,
1981   MATOP_MAT_SOLVE_TRANSPOSE      = 110,
1982   MATOP_GET_ROW_MIN              = 111,
1983   MATOP_GET_COLUMN_VECTOR        = 112,
1984   MATOP_MISSING_DIAGONAL         = 113,
1985   MATOP_GET_SEQ_NONZERO_STRUCTUR = 114,
1986   MATOP_CREATE                   = 115,
1987   MATOP_GET_GHOSTS               = 116,
1988   MATOP_GET_LOCAL_SUB_MATRIX     = 117,
1989   MATOP_RESTORE_LOCALSUB_MATRIX  = 118,
1990   MATOP_MULT_DIAGONAL_BLOCK      = 119,
1991   MATOP_HERMITIAN_TRANSPOSE      = 120,
1992   MATOP_MULT_HERMITIAN_TRANSPOSE = 121,
1993   MATOP_MULT_HERMITIAN_TRANS_ADD = 122,
1994   MATOP_GET_MULTI_PROC_BLOCK     = 123,
1995   MATOP_FIND_NONZERO_ROWS        = 124,
1996   MATOP_GET_COLUMN_NORMS         = 125,
1997   MATOP_INVERT_BLOCK_DIAGONAL    = 126,
1998   MATOP_INVERT_VBLOCK_DIAGONAL   = 127,
1999   MATOP_CREATE_SUB_MATRICES_MPI  = 128,
2000   MATOP_SET_VALUES_BATCH         = 129,
2001   /* MATOP_PLACEHOLDER_130=130, */
2002   MATOP_TRANSPOSE_MAT_MULT_SYMBO = 131,
2003   MATOP_TRANSPOSE_MAT_MULT_NUMER = 132,
2004   MATOP_TRANSPOSE_COLORING_CREAT = 133,
2005   MATOP_TRANS_COLORING_APPLY_SPT = 134,
2006   MATOP_TRANS_COLORING_APPLY_DEN = 135,
2007   /* MATOP_PLACEHOLDER_136=136, */
2008   MATOP_RART_SYMBOLIC         = 137,
2009   MATOP_RART_NUMERIC          = 138,
2010   MATOP_SET_BLOCK_SIZES       = 139,
2011   MATOP_AYPX                  = 140,
2012   MATOP_RESIDUAL              = 141,
2013   MATOP_FDCOLORING_SETUP      = 142,
2014   MATOP_FIND_OFFBLOCK_ENTRIES = 143,
2015   MATOP_MPICONCATENATESEQ     = 144,
2016   MATOP_DESTROYSUBMATRICES    = 145,
2017   MATOP_TRANSPOSE_SOLVE       = 146,
2018   MATOP_GET_VALUES_LOCAL      = 147
2019 } MatOperation;
2020 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, void (*)(void));
2021 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, void (**)(void));
2022 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
2023 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
2024 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatProductClear()", ) static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
2025 {
2026   return MatProductClear(A);
2027 }
2028 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, void (*)(void));
2029 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, void (**)(void));
2030 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, void *);
2031 PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscErrorCode (*)(void *));
2032 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
2033 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2034 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2035 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
2036 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscErrorCode (*)(void *), MatType, MatType);
2037 PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);
2038 
2039 /*
2040    Codes for matrices stored on disk. By default they are
2041    stored in a universal format. By changing the format with
2042    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
2043    be stored in a way natural for the matrix, for example dense matrices
2044    would be stored as dense. Matrices stored this way may only be
2045    read into matrices of the same type.
2046 */
2047 #define MATRIX_BINARY_FORMAT_DENSE -1
2048 
2049 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);
2050 
2051 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
2052 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
2053 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
2054 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
2055 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
2056 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
2057 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
2058 PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
2059 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION(3, 10, 0, "MatConvert()", ) PetscErrorCode MatISGetMPIXAIJ(Mat, MatReuse, Mat *);
2060 
2061 /*S
2062    MatNullSpace - Object that removes a null space from a vector, i.e.
2063                   orthogonalizes the vector to a subspace
2064 
2065    Level: advanced
2066 
2067 .seealso: [](ch_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2068 S*/
2069 typedef struct _p_MatNullSpace *MatNullSpace;
2070 
2071 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
2072 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, PetscErrorCode (*)(MatNullSpace, Vec, void *), void *);
2073 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
2074 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
2075 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
2076 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
2077 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
2078 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
2079 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
2080 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
2081 PETSC_EXTERN PetscErrorCode MatGetNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2082 PETSC_EXTERN PetscErrorCode MatRestoreNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2083 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
2084 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
2085 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
2086 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);
2087 
2088 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
2089 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
2090 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);
2091 
2092 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
2093 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
2094 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);
2095 
2096 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
2097 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);
2098 
2099 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperator()", ) static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
2100 {
2101   return MatComputeOperator(A, PETSC_NULLPTR, B);
2102 }
2103 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperatorTranspose()", ) static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
2104 {
2105   return MatComputeOperatorTranspose(A, PETSC_NULLPTR, B);
2106 }
2107 
2108 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
2109 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
2110 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
2111 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2112 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
2113 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
2114 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
2115 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2116 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
2117 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
2118 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
2119 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
2120 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
2121 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);
2122 
2123 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);
2124 
2125 PETSC_EXTERN PetscErrorCode MatMFFDInitializePackage(void);
2126 PETSC_EXTERN PetscErrorCode MatMFFDFinalizePackage(void);
2127 
2128 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2129 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
2130 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, PetscErrorCode (*)(void *, Vec, Vec), void *);
2131 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, PetscErrorCode (*)(void *, PetscInt, Vec, PetscScalar *));
2132 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, PetscErrorCode (*)(void *, Vec));
2133 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
2134 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
2135 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
2136 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
2137 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
2138 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
2139 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
2140 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, PetscErrorCode (*)(void *, Vec, Vec, PetscScalar *), void *);
2141 
2142 /*S
2143     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2144               Jacobian vector products
2145 
2146     Level: developer
2147 
2148     Notes:
2149     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure
2150 
2151      MatMFFD*() methods actually take the `Mat` as their first argument. Not a `MatMFFD` data structure
2152 
2153     This functionality is often obtained using `MatCreateSNESMF()` or with `SNES` solvers using `-snes_mf` or `-snes_mf_operator`
2154 
2155 .seealso: [](ch_matrices), `MatMFFDType`, `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`,
2156           `MatCreateSNESMF()`, `SNES`, `-snes_mf`, `-snes_mf_operator`
2157 S*/
2158 typedef struct _p_MatMFFD *MatMFFD;
2159 
2160 /*J
2161    MatMFFDType - algorithm used to compute the `h` used in computing matrix-vector products via differencing of a function
2162 
2163    Values:
2164 +   `MATMFFD_DS` - an algorithm described by Dennis and Schnabel {cite}`dennis:83`
2165 -   `MATMFFD_WP` - the Walker-Pernice {cite}`pw98` strategy.
2166 
2167    Level: beginner
2168 
2169 .seealso: [](ch_matrices), `MatMFFDSetType()`, `MatMFFDRegister()`, `MatMFFDSetFunction()`, `MatCreateMFFD()`
2170 J*/
2171 typedef const char *MatMFFDType;
2172 #define MATMFFD_DS "ds"
2173 #define MATMFFD_WP "wp"
2174 
2175 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2176 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));
2177 
2178 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2179 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);
2180 
2181 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);
2182 
2183 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2184 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
2185 
2186 #ifdef PETSC_HAVE_H2OPUS
2187 PETSC_EXTERN_TYPEDEF typedef PetscScalar(MatH2OpusKernelFn)(PetscInt, PetscReal[], PetscReal[], void *);
2188 PETSC_EXTERN_TYPEDEF typedef MatH2OpusKernelFn *MatH2OpusKernel;
2189 PETSC_EXTERN PetscErrorCode                     MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernelFn *, void *, PetscReal, PetscInt, PetscInt, Mat *);
2190 PETSC_EXTERN PetscErrorCode                     MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2191 PETSC_EXTERN PetscErrorCode                     MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2192 PETSC_EXTERN PetscErrorCode                     MatH2OpusOrthogonalize(Mat);
2193 PETSC_EXTERN PetscErrorCode                     MatH2OpusCompress(Mat, PetscReal);
2194 PETSC_EXTERN PetscErrorCode                     MatH2OpusSetNativeMult(Mat, PetscBool);
2195 PETSC_EXTERN PetscErrorCode                     MatH2OpusGetNativeMult(Mat, PetscBool *);
2196 PETSC_EXTERN PetscErrorCode                     MatH2OpusGetIndexMap(Mat, IS *);
2197 PETSC_EXTERN PetscErrorCode                     MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2198 PETSC_EXTERN PetscErrorCode                     MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2199 #endif
2200 
2201 #ifdef PETSC_HAVE_HTOOL
2202 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(MatHtoolKernelFn)(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2203 PETSC_EXTERN_TYPEDEF typedef MatHtoolKernelFn *MatHtoolKernel;
2204 PETSC_EXTERN PetscErrorCode                    MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernelFn *, void *, Mat *);
2205 PETSC_EXTERN PetscErrorCode                    MatHtoolSetKernel(Mat, MatHtoolKernelFn *, void *);
2206 PETSC_EXTERN PetscErrorCode                    MatHtoolGetPermutationSource(Mat, IS *);
2207 PETSC_EXTERN PetscErrorCode                    MatHtoolGetPermutationTarget(Mat, IS *);
2208 PETSC_EXTERN PetscErrorCode                    MatHtoolUsePermutation(Mat, PetscBool);
2209 
2210 /*E
2211    MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`
2212 
2213    Values:
2214 +  `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2215 .  `MAT_HTOOL_COMPRESSOR_FULL_ACA`                 - full adaptive cross approximation
2216 -  `MAT_HTOOL_COMPRESSOR_SVD`                      - singular value decomposition
2217 
2218    Level: intermediate
2219 
2220 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2221 E*/
2222 typedef enum {
2223   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2224   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2225   MAT_HTOOL_COMPRESSOR_SVD
2226 } MatHtoolCompressorType;
2227 
2228 /*E
2229    MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`
2230 
2231    Values:
2232 +  `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default)    - axis computed via principle component analysis, split uniformly
2233 .  `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC`            - axis computed via principle component analysis, split barycentrically
2234 .  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR`   - axis along the largest extent of the bounding box, split uniformly
2235 -  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically
2236 
2237    Level: intermediate
2238 
2239    Note:
2240    Higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
2241 
2242 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2243 E*/
2244 typedef enum {
2245   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2246   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2247   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2248   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2249 } MatHtoolClusteringType;
2250 #endif
2251 
2252 #ifdef PETSC_HAVE_MUMPS
2253 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2254 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2255 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2256 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);
2257 
2258 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2259 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2260 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2261 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2262 PETSC_EXTERN PetscErrorCode MatMumpsGetNullPivots(Mat, PetscInt *, PetscInt **);
2263 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2264 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2265 #endif
2266 
2267 #ifdef PETSC_HAVE_MKL_PARDISO
2268 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2269 #endif
2270 
2271 #ifdef PETSC_HAVE_MKL_CPARDISO
2272 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2273 #endif
2274 
2275 #ifdef PETSC_HAVE_SUPERLU
2276 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2277 #endif
2278 
2279 #ifdef PETSC_HAVE_SUPERLU_DIST
2280 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2281 #endif
2282 
2283 #ifdef PETSC_HAVE_STRUMPACK
2284 /*E
2285     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `MATSOLVERSTRUMPACK`
2286 
2287     Values:
2288 +  `MAT_STRUMPACK_NATURAL`   - use the current ordering
2289 .  `MAT_STRUMPACK_METIS`     - use MeTis to compute an ordering
2290 .  `MAT_STRUMPACK_PARMETIS`  - use ParMeTis to compute an ordering
2291 .  `MAT_STRUMPACK_SCOTCH`    - use Scotch to compute an ordering
2292 .  `MAT_STRUMPACK_PTSCOTCH`  - use parallel Scotch to compute an ordering
2293 .  `MAT_STRUMPACK_RCM`       - use an RCM ordering
2294 .  `MAT_STRUMPACK_GEOMETRIC` - use a geometric ordering (needs mesh info from user)
2295 .  `MAT_STRUMPACK_AMD`       - approximate minimum degree
2296 .  `MAT_STRUMPACK_MMD`       - multiple minimum degree
2297 .  `MAT_STRUMPACK_AND`       - approximate nested dissection
2298 .  `MAT_STRUMPACK_MLF`       - minimum local fill
2299 -  `MAT_STRUMPACK_SPECTRAL`  - spectral nested dissection
2300 
2301     Level: intermediate
2302 
2303     Developer Note:
2304     Should be called `MatSTRUMPACKReorderingType`
2305 
2306 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetReordering()`
2307 E*/
2308 typedef enum {
2309   MAT_STRUMPACK_NATURAL,
2310   MAT_STRUMPACK_METIS,
2311   MAT_STRUMPACK_PARMETIS,
2312   MAT_STRUMPACK_SCOTCH,
2313   MAT_STRUMPACK_PTSCOTCH,
2314   MAT_STRUMPACK_RCM,
2315   MAT_STRUMPACK_GEOMETRIC,
2316   MAT_STRUMPACK_AMD,
2317   MAT_STRUMPACK_MMD,
2318   MAT_STRUMPACK_AND,
2319   MAT_STRUMPACK_MLF,
2320   MAT_STRUMPACK_SPECTRAL
2321 } MatSTRUMPACKReordering;
2322 
2323 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2324 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetReordering(Mat, MatSTRUMPACKReordering *);
2325 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricNxyz(Mat, PetscInt, PetscInt, PetscInt);
2326 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricComponents(Mat, PetscInt);
2327 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricWidth(Mat, PetscInt);
2328 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2329 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetColPerm(Mat, PetscBool *);
2330 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGPU(Mat, PetscBool);
2331 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetGPU(Mat, PetscBool *);
2332 
2333 /*E
2334     MatSTRUMPACKCompressionType - Compression used in the approximate sparse factorization solver `MATSOLVERSTRUMPACK`
2335 
2336     Values:
2337 +  `MAT_STRUMPACK_COMPRESSION_TYPE_NONE`          - no compression, direct solver
2338 .  `MAT_STRUMPACK_COMPRESSION_TYPE_HSS`           - hierarchically semi-separable
2339 .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR`           - block low rank
2340 .  `MAT_STRUMPACK_COMPRESSION_TYPE_HODLR`         - hierarchically off-diagonal low rank (requires ButterfyPACK support, configure with --download-butterflypack)
2341 .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR`     - hybrid of BLR and HODLR (requires ButterfyPACK support, configure with --download-butterflypack)
2342 .  `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)
2343 .  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS`      - lossless compression (requires ZFP support, configure with --download-zfp)
2344 -  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY`         - lossy compression (requires ZFP support, configure with --download-zfp)
2345 
2346     Level: intermediate
2347 
2348 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetCompression()`
2349 E*/
2350 typedef enum {
2351   MAT_STRUMPACK_COMPRESSION_TYPE_NONE,
2352   MAT_STRUMPACK_COMPRESSION_TYPE_HSS,
2353   MAT_STRUMPACK_COMPRESSION_TYPE_BLR,
2354   MAT_STRUMPACK_COMPRESSION_TYPE_HODLR,
2355   MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR,
2356   MAT_STRUMPACK_COMPRESSION_TYPE_ZFP_BLR_HODLR,
2357   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS,
2358   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY
2359 } MatSTRUMPACKCompressionType;
2360 
2361 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompression(Mat, MatSTRUMPACKCompressionType);
2362 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompression(Mat, MatSTRUMPACKCompressionType *);
2363 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompRelTol(Mat, PetscReal);
2364 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompRelTol(Mat, PetscReal *);
2365 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompAbsTol(Mat, PetscReal);
2366 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompAbsTol(Mat, PetscReal *);
2367 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompMinSepSize(Mat, PetscInt);
2368 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompMinSepSize(Mat, PetscInt *);
2369 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLeafSize(Mat, PetscInt);
2370 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLeafSize(Mat, PetscInt *);
2371 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLossyPrecision(Mat, PetscInt);
2372 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLossyPrecision(Mat, PetscInt *);
2373 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompButterflyLevels(Mat, PetscInt);
2374 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompButterflyLevels(Mat, PetscInt *);
2375 #endif
2376 
2377 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2378 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2379 PETSC_DEPRECATED_FUNCTION(3, 13, 0, "MatBindToCPU()", ) static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2380 {
2381   return MatBindToCPU(A, flg);
2382 }
2383 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2384 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);
2385 
2386 #ifdef PETSC_HAVE_CUDA
2387 /*E
2388     MatCUSPARSEStorageFormat - indicates the storage format for `MATAIJCUSPARSE` (GPU)
2389     matrices.
2390 
2391     Values:
2392 +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2393 .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2394 -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2395 
2396     Level: intermediate
2397 
2398 .seealso: [](ch_matrices), `MATAIJCUSPARSE`, `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2399 E*/
2400 
2401 typedef enum {
2402   MAT_CUSPARSE_CSR,
2403   MAT_CUSPARSE_ELL,
2404   MAT_CUSPARSE_HYB
2405 } MatCUSPARSEStorageFormat;
2406 
2407 /* these will be strings associated with enumerated type defined above */
2408 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2409 
2410 /*E
2411     MatCUSPARSEFormatOperation - indicates the operation of `MATAIJCUSPARSE` (GPU)
2412     matrices whose operation should use a particular storage format.
2413 
2414     Values:
2415 +   `MAT_CUSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2416 .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2417 .   `MAT_CUSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2418 -   `MAT_CUSPARSE_ALL`          - sets the storage format for all `MATAIJCUSPARSE` (GPU) matrices
2419 
2420     Level: intermediate
2421 
2422 .seealso: [](ch_matrices), `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2423 E*/
2424 typedef enum {
2425   MAT_CUSPARSE_MULT_DIAG,
2426   MAT_CUSPARSE_MULT_OFFDIAG,
2427   MAT_CUSPARSE_MULT,
2428   MAT_CUSPARSE_ALL
2429 } MatCUSPARSEFormatOperation;
2430 
2431 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2432 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2433 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2434 PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2435 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2436 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2437 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2438 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2439 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2440 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2441 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2442 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);
2443 
2444 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2445 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2446 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2447 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2448 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2449 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2450 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2451 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2452 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2453 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2454 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2455 PETSC_EXTERN PetscErrorCode MatDenseCUDASetPreallocation(Mat, PetscScalar *);
2456 
2457 PETSC_EXTERN PetscErrorCode MatCreateSeqSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2458 PETSC_EXTERN PetscErrorCode MatCreateSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2459 #endif
2460 
2461 #ifdef PETSC_HAVE_HIP
2462 /*E
2463     MatHIPSPARSEStorageFormat - indicates the storage format for `MATAIJHIPSPARSE` (GPU)
2464     matrices.
2465 
2466     Values:
2467 +   `MAT_HIPSPARSE_CSR` - Compressed Sparse Row
2468 .   `MAT_HIPSPARSE_ELL` - Ellpack
2469 -   `MAT_HIPSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format
2470 
2471     Level: intermediate
2472 
2473 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
2474 E*/
2475 
2476 typedef enum {
2477   MAT_HIPSPARSE_CSR,
2478   MAT_HIPSPARSE_ELL,
2479   MAT_HIPSPARSE_HYB
2480 } MatHIPSPARSEStorageFormat;
2481 
2482 /* these will be strings associated with enumerated type defined above */
2483 PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];
2484 
2485 /*E
2486     MatHIPSPARSEFormatOperation - indicates the operation of `MATAIJHIPSPARSE` (GPU)
2487     matrices whose operation should use a particular storage format.
2488 
2489     Values:
2490 +   `MAT_HIPSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2491 .   `MAT_HIPSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2492 .   `MAT_HIPSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2493 -   `MAT_HIPSPARSE_ALL`          - sets the storage format for all HIPSPARSE (GPU) matrices
2494 
2495     Level: intermediate
2496 
2497 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
2498 E*/
2499 typedef enum {
2500   MAT_HIPSPARSE_MULT_DIAG,
2501   MAT_HIPSPARSE_MULT_OFFDIAG,
2502   MAT_HIPSPARSE_MULT,
2503   MAT_HIPSPARSE_ALL
2504 } MatHIPSPARSEFormatOperation;
2505 
2506 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2507 PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2508 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
2509 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
2510 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2511 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2512 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
2513 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
2514 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
2515 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
2516 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
2517 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);
2518 
2519 PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2520 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2521 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
2522 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
2523 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
2524 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
2525 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
2526 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
2527 PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
2528 PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
2529 PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);
2530 PETSC_EXTERN PetscErrorCode MatDenseHIPSetPreallocation(Mat, PetscScalar *);
2531 #endif
2532 
2533 #if defined(PETSC_HAVE_VIENNACL)
2534 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2535 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2536 #endif
2537 
2538 #if PetscDefined(HAVE_KOKKOS)
2539 PETSC_EXTERN PetscErrorCode MatCreateAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2540 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2541 #endif
2542 
2543 #if defined(PETSC_HAVE_FFTW)
2544 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2545 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2546 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2547 #endif
2548 
2549 #if defined(PETSC_HAVE_SCALAPACK)
2550 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2551 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2552 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2553 #endif
2554 
2555 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2556 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2557 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2558 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2559 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2560 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2561 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2562 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2563 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);
2564 
2565 PETSC_EXTERN PetscErrorCode MatFilter(Mat, PetscReal, PetscBool, PetscBool);
2566 PETSC_DEPRECATED_FUNCTION(3, 20, 0, "MatFilter()", ) static inline PetscErrorCode MatChop(Mat A, PetscReal tol)
2567 {
2568   return MatFilter(A, tol, PETSC_FALSE, PETSC_FALSE);
2569 }
2570 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);
2571 
2572 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);
2573 
2574 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);
2575 
2576 PETSC_EXTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2577 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);
2578 
2579 PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);
2580 
2581 PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, PetscInt, PetscInt[], Mat *);
2582 PETSC_EXTERN PetscErrorCode MatEliminateZeros(Mat, PetscBool);
2583 
2584 PETSC_EXTERN PetscErrorCode MatCreateDenseFromVecType(MPI_Comm, VecType, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar *, Mat *);
2585 
2586 PETSC_EXTERN PetscErrorCode MatSetHPL(Mat, int);
2587 #define PETSCBMHPL "hpl"
2588