xref: /petsc/include/petscmat.h (revision 53df731d4a58a13d32dc697c3d2b74491914e802)
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 (*MatSolverFunction)(Mat, MatFactorType, Mat *);
213 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType, MatType, MatFactorType, MatSolverFunction);
214 PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType, MatType, MatFactorType, PetscBool *, PetscBool *, MatSolverFunction *);
215 typedef MatSolverType       MatSolverPackage PETSC_DEPRECATED_TYPEDEF(3, 9, 0, "MatSolverType", );
216 PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSolverTypeRegister()", ) static inline PetscErrorCode MatSolverPackageRegister(MatSolverType stype, MatType mtype, MatFactorType ftype, MatSolverFunction f)
217 {
218   return MatSolverTypeRegister(stype, mtype, ftype, f);
219 }
220 PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSolverTypeGet()", ) static inline PetscErrorCode MatSolverPackageGet(MatSolverType stype, MatType mtype, MatFactorType ftype, PetscBool *foundmtype, PetscBool *foundstype, MatSolverFunction *f)
221 {
222   return MatSolverTypeGet(stype, mtype, ftype, foundmtype, foundstype, f);
223 }
224 
225 /*E
226     MatProductType - indicates what type of matrix product to compute
227 
228     Values:
229 +  `MATPRODUCT_AB`   - product of two matrices
230 .  `MATPRODUCT_AtB`  - product of the transpose of a given matrix with a matrix
231 .  `MATPRODUCT_ABt`  - product of a matrix with the transpose of another given matrix
232 .  `MATPRODUCT_PtAP` - the triple product of the transpose of a matrix with another matrix and itself
233 .  `MATPRODUCT_RARt` - the triple product of a matrix, another matrix and the transpose of the first matrix
234 -  `MATPRODUCT_ABC`  - the product of three matrices
235 
236     Level: beginner
237 
238 .seealso: [](sec_matmatproduct), [](ch_matrices), `MatProductSetType()`
239 E*/
240 typedef enum {
241   MATPRODUCT_UNSPECIFIED = 0,
242   MATPRODUCT_AB,
243   MATPRODUCT_AtB,
244   MATPRODUCT_ABt,
245   MATPRODUCT_PtAP,
246   MATPRODUCT_RARt,
247   MATPRODUCT_ABC
248 } MatProductType;
249 PETSC_EXTERN const char *const MatProductTypes[];
250 
251 /*J
252     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
253 
254    Level: beginner
255 
256 .seealso: [](sec_matmatproduct), [](ch_matrices), `MatSetType()`, `Mat`, `MatProductSetAlgorithm()`, `MatProductType`
257 J*/
258 typedef const char *MatProductAlgorithm;
259 #define MATPRODUCTALGORITHMDEFAULT         "default"
260 #define MATPRODUCTALGORITHMSORTED          "sorted"
261 #define MATPRODUCTALGORITHMSCALABLE        "scalable"
262 #define MATPRODUCTALGORITHMSCALABLEFAST    "scalable_fast"
263 #define MATPRODUCTALGORITHMHEAP            "heap"
264 #define MATPRODUCTALGORITHMBHEAP           "btheap"
265 #define MATPRODUCTALGORITHMLLCONDENSED     "llcondensed"
266 #define MATPRODUCTALGORITHMROWMERGE        "rowmerge"
267 #define MATPRODUCTALGORITHMOUTERPRODUCT    "outerproduct"
268 #define MATPRODUCTALGORITHMATB             "at*b"
269 #define MATPRODUCTALGORITHMRAP             "rap"
270 #define MATPRODUCTALGORITHMNONSCALABLE     "nonscalable"
271 #define MATPRODUCTALGORITHMSEQMPI          "seqmpi"
272 #define MATPRODUCTALGORITHMBACKEND         "backend"
273 #define MATPRODUCTALGORITHMOVERLAPPING     "overlapping"
274 #define MATPRODUCTALGORITHMMERGED          "merged"
275 #define MATPRODUCTALGORITHMALLATONCE       "allatonce"
276 #define MATPRODUCTALGORITHMALLATONCEMERGED "allatonce_merged"
277 #define MATPRODUCTALGORITHMALLGATHERV      "allgatherv"
278 #define MATPRODUCTALGORITHMCYCLIC          "cyclic"
279 #if defined(PETSC_HAVE_HYPRE)
280   #define MATPRODUCTALGORITHMHYPRE "hypre"
281 #endif
282 
283 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat, Mat, Mat, Mat *);
284 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat, Mat, Mat, Mat);
285 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat, MatProductType);
286 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat, MatProductAlgorithm);
287 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat, PetscReal);
288 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
289 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
290 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
291 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat, Mat, Mat, Mat);
292 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
293 PETSC_EXTERN PetscErrorCode MatProductView(Mat, PetscViewer);
294 PETSC_EXTERN PetscErrorCode MatProductGetType(Mat, MatProductType *);
295 PETSC_EXTERN PetscErrorCode MatProductGetMats(Mat, Mat *, Mat *, Mat *);
296 
297 /* Logging support */
298 #define MAT_FILE_CLASSID 1211216 /* used to indicate matrices in binary files */
299 PETSC_EXTERN PetscClassId MAT_CLASSID;
300 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
301 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
302 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
303 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
304 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
305 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
306 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
307 
308 /*E
309    MatReuse - Indicates if matrices obtained from a previous call to `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatConvert()` or several other functions
310    are to be reused to store the new matrix values.
311 
312    Values:
313 +  `MAT_INITIAL_MATRIX` - create a new matrix
314 .  `MAT_REUSE_MATRIX`   - reuse the matrix created with a previous call that used `MAT_INITIAL_MATRIX`
315 .  `MAT_INPLACE_MATRIX` - replace the first input matrix with the new matrix (not applicable to all functions)
316 -  `MAT_IGNORE_MATRIX`  - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
317 
318     Level: beginner
319 
320 .seealso: [](ch_matrices), `Mat`, `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatDestroyMatrices()`, `MatConvert()`
321 E*/
322 typedef enum {
323   MAT_INITIAL_MATRIX,
324   MAT_REUSE_MATRIX,
325   MAT_IGNORE_MATRIX,
326   MAT_INPLACE_MATRIX
327 } MatReuse;
328 
329 /*E
330     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to `MatCreateSubMatrices()`
331     include the matrix values. Currently it is only used by `MatGetSeqNonzeroStructure()`.
332 
333     Values:
334 +  `MAT_DO_NOT_GET_VALUES` - do not copy the matrix values
335 -  `MAT_GET_VALUES`        - copy the matrix values
336 
337     Level: developer
338 
339     Developer Note:
340     Why is not just a boolean used for this information?
341 
342 .seealso: [](ch_matrices), `Mat`, `MatDuplicateOption`, `PetscCopyMode`, `MatGetSeqNonzeroStructure()`
343 E*/
344 typedef enum {
345   MAT_DO_NOT_GET_VALUES,
346   MAT_GET_VALUES
347 } MatCreateSubMatrixOption;
348 
349 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
350 PETSC_EXTERN PetscErrorCode MatFinalizePackage(void);
351 
352 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm, Mat *);
353 PETSC_EXTERN PetscErrorCode MatCreateFromOptions(MPI_Comm, const char *, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
354 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat, PetscInt, PetscInt, PetscInt, PetscInt);
355 PETSC_EXTERN PetscErrorCode MatSetType(Mat, MatType);
356 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat, VecType *);
357 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat, VecType);
358 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
359 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat, PetscObject, const char[]);
360 PETSC_EXTERN PetscErrorCode MatRegister(const char[], PetscErrorCode (*)(Mat));
361 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[], const char[], const char[]);
362 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat, const char[]);
363 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefixFactor(Mat, const char[]);
364 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefixFactor(Mat, const char[]);
365 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat, const char[]);
366 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat, const char *[]);
367 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat, PetscBool);
368 
369 PETSC_EXTERN PetscFunctionList MatList;
370 PETSC_EXTERN PetscFunctionList MatColoringList;
371 PETSC_EXTERN PetscFunctionList MatPartitioningList;
372 
373 /*E
374    MatStructure - Indicates if two matrices have the same nonzero structure
375 
376    Values:
377 +  `SAME_NONZERO_PATTERN`      - the two matrices have identical nonzero patterns
378 .  `DIFFERENT_NONZERO_PATTERN` - the two matrices may have different nonzero patterns
379 .  `SUBSET_NONZERO_PATTERN`    - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
380 -  `UNKNOWN_NONZERO_PATTERN`   - there is no known relationship between the nonzero patterns. In this case the implementations
381                                  may try to detect a relationship to optimize the operation
382 
383    Level: beginner
384 
385    Note:
386    Certain matrix operations (such as `MatAXPY()`) can run much faster if the sparsity pattern of the matrices are the same. But actually determining if
387    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
388    to certain PETSc routines.
389 
390 .seealso: [](ch_matrices), `Mat`, `MatCopy()`, `MatAXPY()`, `MatAYPX()`
391 E*/
392 typedef enum {
393   DIFFERENT_NONZERO_PATTERN,
394   SUBSET_NONZERO_PATTERN,
395   SAME_NONZERO_PATTERN,
396   UNKNOWN_NONZERO_PATTERN
397 } MatStructure;
398 PETSC_EXTERN const char *const MatStructures[];
399 
400 #if defined                 PETSC_HAVE_MKL_SPARSE
401 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
402 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
403 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
404 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
405 #endif
406 
407 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJPERM(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
408 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJPERM(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
409 
410 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
411 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
412 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat, PetscInt, const PetscInt[]);
413 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
414 PETSC_EXTERN PetscErrorCode MatSeqSELLGetFillRatio(Mat, PetscReal *);
415 PETSC_EXTERN PetscErrorCode MatSeqSELLGetMaxSliceWidth(Mat, PetscInt *);
416 PETSC_EXTERN PetscErrorCode MatSeqSELLGetAvgSliceWidth(Mat, PetscReal *);
417 PETSC_EXTERN PetscErrorCode MatSeqSELLSetSliceHeight(Mat, PetscInt);
418 PETSC_EXTERN PetscErrorCode MatSeqSELLGetVarSliceSize(Mat, PetscReal *);
419 
420 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
421 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
422 PETSC_EXTERN PetscErrorCode MatMPISELLGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
423 PETSC_EXTERN PetscErrorCode MatMPISELLGetSeqSELL(Mat, Mat *, Mat *, const PetscInt *[]);
424 
425 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
426 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
427 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
428 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
429 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
430 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
431 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArray(Mat, const PetscScalar[]);
432 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], PetscInt[], PetscInt[], PetscScalar[], Mat *);
433 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm, Mat, Mat, const PetscInt[], Mat *);
434 
435 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
436 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
437 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
438 
439 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat, PetscCount, PetscInt[], PetscInt[]);
440 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat, PetscCount, PetscInt[], PetscInt[]);
441 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat, const PetscScalar[], InsertMode);
442 
443 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscInt[], Mat *);
444 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
445 
446 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
447 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
448 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
449 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
450 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], const PetscInt[]);
451 
452 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, void *, Mat *);
453 PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm, PetscInt, PetscInt, Mat *);
454 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat, Mat *);
455 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat, Mat *);
456 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat, Mat, Vec, Mat, Mat *);
457 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat, Mat *, Mat *, Vec *, Mat *);
458 PETSC_EXTERN PetscErrorCode MatLRCSetMats(Mat, Mat, Mat, Vec, Mat);
459 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, ISLocalToGlobalMapping, ISLocalToGlobalMapping, Mat *);
460 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
461 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
462 
463 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm, VecScatter, Mat *);
464 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat, VecScatter);
465 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat, VecScatter *);
466 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt *, Mat *);
467 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat, Mat);
468 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
469 typedef enum {
470   MAT_COMPOSITE_MERGE_RIGHT,
471   MAT_COMPOSITE_MERGE_LEFT
472 } MatCompositeMergeType;
473 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat, MatCompositeMergeType);
474 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm, PetscInt, const Mat *, Mat *);
475 typedef enum {
476   MAT_COMPOSITE_ADDITIVE,
477   MAT_COMPOSITE_MULTIPLICATIVE
478 } MatCompositeType;
479 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat, MatCompositeType);
480 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat, MatCompositeType *);
481 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat, MatStructure);
482 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat, MatStructure *);
483 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat, PetscInt *);
484 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat, PetscInt, Mat *);
485 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat, const PetscScalar *);
486 
487 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm, PetscInt, const PetscInt[], MatType, Mat *);
488 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm, PetscInt, const PetscInt[], Mat *);
489 
490 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat, Mat *);
491 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat, Mat *);
492 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat, Mat *);
493 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat, Mat *);
494 PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat, Mat *);
495 PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat, Mat *);
496 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat, IS, IS, Mat *);
497 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat, Mat, IS, IS);
498 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat, IS, IS, Mat *);
499 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar, Mat *);
500 PETSC_EXTERN PetscErrorCode MatCreateDiagonal(Vec, Mat *);
501 PETSC_EXTERN PetscErrorCode MatDiagonalGetDiagonal(Mat, Vec *);
502 PETSC_EXTERN PetscErrorCode MatDiagonalRestoreDiagonal(Mat, Vec *);
503 PETSC_EXTERN PetscErrorCode MatDiagonalGetInverseDiagonal(Mat, Vec *);
504 PETSC_EXTERN PetscErrorCode MatDiagonalRestoreInverseDiagonal(Mat, Vec *);
505 
506 #if defined(PETSC_HAVE_HYPRE)
507 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
508 #endif
509 
510 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat, const char[]);
511 PETSC_EXTERN PetscErrorCode MatPythonGetType(Mat, const char *[]);
512 
513 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
514 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
515 PETSC_EXTERN PetscErrorCode MatDestroy(Mat *);
516 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat, PetscObjectState *);
517 
518 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
519 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
520 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
521 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat, Mat *);
522 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat, PetscScalar *);
523 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat, const PetscScalar **);
524 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat, PetscInt, const PetscInt *, PetscScalar *);
525 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat, Mat);
526 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat, MatReuse, Mat *);
527 PETSC_EXTERN PetscErrorCode MatComputeVariableBlockEnvelope(Mat);
528 
529 PETSC_EXTERN PetscErrorCode MatSetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
530 PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat, IS, IS, const PetscScalar[], InsertMode);
531 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
532 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat, PetscInt, const PetscScalar[]);
533 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat, PetscInt, const PetscScalar[]);
534 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt[], const PetscScalar[]);
535 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat, PetscRandom);
536 
537 /*S
538    MatStencil - Data structure (C struct) for storing information about rows and
539    columns of a matrix as indexed on an associated grid. These are arguments to `MatSetStencil()` and `MatSetBlockStencil()`
540 
541    Level: beginner
542 
543    Notes:
544    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).
545    The c represents the the degrees of freedom at each grid point (the dof argument to `DMDASetDOF()`). If dof is 1 then this entry is ignored.
546 
547    For stencil access to vectors see `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`.
548 
549    For staggered grids, see `DMStagStencil`
550 
551    Fortran Note:
552    See `MatSetValuesStencil()` for details.
553 
554 .seealso: [](ch_matrices), `Mat`, `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`,
555           `DMStagStencil`
556 S*/
557 typedef struct {
558   PetscInt k, j, i, c;
559 } MatStencil;
560 
561 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
562 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
563 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat, PetscInt, const PetscInt[], const PetscInt[], PetscInt);
564 
565 /*E
566     MatAssemblyType - Indicates if the process of setting values into the matrix is complete, and the matrix is ready for use
567 
568     Values:
569 +   `MAT_FLUSH_ASSEMBLY` - you will continue to put values into the matrix
570 -   `MAT_FINAL_ASSEMBLY` - you wish to use the matrix with the values currently inserted
571 
572     Level: beginner
573 
574 .seealso: [](ch_matrices), `Mat`, `MatSetValues`, `MatAssemblyBegin()`, `MatAssemblyEnd()`
575 E*/
576 typedef enum {
577   MAT_FLUSH_ASSEMBLY = 1,
578   MAT_FINAL_ASSEMBLY = 0
579 } MatAssemblyType;
580 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat, MatAssemblyType);
581 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat, MatAssemblyType);
582 PETSC_EXTERN PetscErrorCode MatAssembled(Mat, PetscBool *);
583 
584 /*E
585    MatOption - Options that may be set for a matrix that indicate properties of the matrix or affect its behavior or storage
586 
587    Level: beginner
588 
589    Note:
590    See `MatSetOption()` for the use of the options
591 
592    Developer Note:
593    Entries that are negative need not be called collectively by all processes.
594 
595 .seealso: [](ch_matrices), `Mat`, `MatSetOption()`
596 E*/
597 typedef enum {
598   MAT_OPTION_MIN                  = -3,
599   MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
600   MAT_ROW_ORIENTED                = -1,
601   MAT_SYMMETRIC                   = 1,
602   MAT_STRUCTURALLY_SYMMETRIC      = 2,
603   MAT_FORCE_DIAGONAL_ENTRIES      = 3,
604   MAT_IGNORE_OFF_PROC_ENTRIES     = 4,
605   MAT_USE_HASH_TABLE              = 5,
606   MAT_KEEP_NONZERO_PATTERN        = 6,
607   MAT_IGNORE_ZERO_ENTRIES         = 7,
608   MAT_USE_INODES                  = 8,
609   MAT_HERMITIAN                   = 9,
610   MAT_SYMMETRY_ETERNAL            = 10,
611   MAT_NEW_NONZERO_LOCATION_ERR    = 11,
612   MAT_IGNORE_LOWER_TRIANGULAR     = 12,
613   MAT_ERROR_LOWER_TRIANGULAR      = 13,
614   MAT_GETROW_UPPERTRIANGULAR      = 14,
615   MAT_SPD                         = 15,
616   MAT_NO_OFF_PROC_ZERO_ROWS       = 16,
617   MAT_NO_OFF_PROC_ENTRIES         = 17,
618   MAT_NEW_NONZERO_LOCATIONS       = 18,
619   MAT_NEW_NONZERO_ALLOCATION_ERR  = 19,
620   MAT_SUBSET_OFF_PROC_ENTRIES     = 20,
621   MAT_SUBMAT_SINGLEIS             = 21,
622   MAT_STRUCTURE_ONLY              = 22,
623   MAT_SORTED_FULL                 = 23,
624   MAT_FORM_EXPLICIT_TRANSPOSE     = 24,
625   MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
626   MAT_SPD_ETERNAL                 = 26,
627   MAT_OPTION_MAX                  = 27
628 } MatOption;
629 
630 PETSC_EXTERN const char *const *MatOptions;
631 PETSC_EXTERN PetscErrorCode     MatSetOption(Mat, MatOption, PetscBool);
632 PETSC_EXTERN PetscErrorCode     MatGetOption(Mat, MatOption, PetscBool *);
633 PETSC_EXTERN PetscErrorCode     MatPropagateSymmetryOptions(Mat, Mat);
634 PETSC_EXTERN PetscErrorCode     MatGetType(Mat, MatType *);
635 
636 PETSC_EXTERN PetscErrorCode    MatGetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
637 PETSC_EXTERN PetscErrorCode    MatGetRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
638 PETSC_EXTERN PetscErrorCode    MatRestoreRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
639 PETSC_EXTERN PetscErrorCode    MatGetRowUpperTriangular(Mat);
640 PETSC_EXTERN PetscErrorCode    MatRestoreRowUpperTriangular(Mat);
641 PETSC_EXTERN PetscErrorCode    MatGetColumnVector(Mat, Vec, PetscInt);
642 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArray(Mat, PetscScalar *[]);
643 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayRead(Mat, const PetscScalar *[]);
644 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayWrite(Mat, PetscScalar *[]);
645 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArray(Mat, PetscScalar *[]);
646 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayRead(Mat, const PetscScalar *[]);
647 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayWrite(Mat, PetscScalar *[]);
648 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetMaxRowNonzeros(Mat, PetscInt *);
649 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetValuesLocalFast(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
650 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetType(Mat, MatType);
651 PETSC_EXTERN PetscErrorCode    MatSeqAIJKron(Mat, Mat, MatReuse, Mat *);
652 PETSC_EXTERN PetscErrorCode    MatSeqAIJRegister(const char[], PetscErrorCode (*)(Mat, MatType, MatReuse, Mat *));
653 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
654 PETSC_EXTERN PetscErrorCode    MatSeqBAIJGetArray(Mat, PetscScalar *[]);
655 PETSC_EXTERN PetscErrorCode    MatSeqBAIJRestoreArray(Mat, PetscScalar *[]);
656 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJGetArray(Mat, PetscScalar *[]);
657 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJRestoreArray(Mat, PetscScalar *[]);
658 PETSC_EXTERN PetscErrorCode    MatDenseGetArray(Mat, PetscScalar *[]);
659 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArray(Mat, PetscScalar *[]);
660 PETSC_EXTERN PetscErrorCode    MatDensePlaceArray(Mat, const PetscScalar[]);
661 PETSC_EXTERN PetscErrorCode    MatDenseReplaceArray(Mat, const PetscScalar[]);
662 PETSC_EXTERN PetscErrorCode    MatDenseResetArray(Mat);
663 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayRead(Mat, const PetscScalar *[]);
664 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayRead(Mat, const PetscScalar *[]);
665 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWrite(Mat, PetscScalar *[]);
666 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWrite(Mat, PetscScalar *[]);
667 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayAndMemType(Mat, PetscScalar *[], PetscMemType *);
668 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayAndMemType(Mat, PetscScalar *[]);
669 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayReadAndMemType(Mat, const PetscScalar *[], PetscMemType *);
670 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayReadAndMemType(Mat, const PetscScalar *[]);
671 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWriteAndMemType(Mat, PetscScalar *[], PetscMemType *);
672 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWriteAndMemType(Mat, PetscScalar *[]);
673 PETSC_EXTERN PetscErrorCode    MatGetBlockSize(Mat, PetscInt *);
674 PETSC_EXTERN PetscErrorCode    MatSetBlockSize(Mat, PetscInt);
675 PETSC_EXTERN PetscErrorCode    MatGetBlockSizes(Mat, PetscInt *, PetscInt *);
676 PETSC_EXTERN PetscErrorCode    MatSetBlockSizes(Mat, PetscInt, PetscInt);
677 PETSC_EXTERN PetscErrorCode    MatSetBlockSizesFromMats(Mat, Mat, Mat);
678 PETSC_EXTERN PetscErrorCode    MatSetVariableBlockSizes(Mat, PetscInt, PetscInt *);
679 PETSC_EXTERN PetscErrorCode    MatGetVariableBlockSizes(Mat, PetscInt *, const PetscInt **);
680 
681 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat, PetscInt, PetscScalar *[]);
682 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat, PetscScalar *[]);
683 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat, PetscInt, Vec *);
684 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat, PetscInt, Vec *);
685 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat, PetscInt, Vec *);
686 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat, PetscInt, Vec *);
687 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat, PetscInt, Vec *);
688 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat, PetscInt, Vec *);
689 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
690 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat, Mat *);
691 
692 PETSC_EXTERN PetscErrorCode MatMult(Mat, Vec, Vec);
693 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat, Vec, Vec);
694 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat, Vec, Vec, Vec);
695 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat, Vec, Vec);
696 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat, Vec, Vec);
697 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat, Mat, PetscReal, PetscBool *);
698 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat, Mat, PetscReal, PetscBool *);
699 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat, Vec, Vec, Vec);
700 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat, Vec, Vec, Vec);
701 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat, Mat, Mat);
702 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat, Mat, Mat);
703 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat, Mat, Mat);
704 PETSC_EXTERN PetscErrorCode MatResidual(Mat, Vec, Vec, Vec);
705 
706 /*E
707   MatDuplicateOption - Indicates if a duplicated sparse matrix should have
708   its numerical values copied over or just its nonzero structure.
709 
710   Values:
711 + `MAT_DO_NOT_COPY_VALUES`    - Create a matrix using the same nonzero pattern as the original matrix,
712                                 with zeros for the numerical values
713 . `MAT_COPY_VALUES`           - Create a matrix with the same nonzero pattern as the original matrix
714                                 and with the same numerical values.
715 - `MAT_SHARE_NONZERO_PATTERN` - Create a matrix that shares the nonzero structure with the previous matrix
716                                 and does not copy it, using zeros for the numerical values. The parent and
717                                 child matrices will share their index (i and j) arrays, and you cannot
718                                 insert new nonzero entries into either matrix
719 
720   Level: beginner
721 
722   Note:
723   Many matrix types (including `MATSEQAIJ`) do not support the `MAT_SHARE_NONZERO_PATTERN` optimization; in
724   this case the behavior is as if `MAT_DO_NOT_COPY_VALUES` has been specified.
725 
726 .seealso: [](ch_matrices), `Mat`, `MatDuplicate()`
727 E*/
728 typedef enum {
729   MAT_DO_NOT_COPY_VALUES,
730   MAT_COPY_VALUES,
731   MAT_SHARE_NONZERO_PATTERN
732 } MatDuplicateOption;
733 
734 PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
735 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);
736 
737 PETSC_EXTERN PetscErrorCode MatCopy(Mat, Mat, MatStructure);
738 PETSC_EXTERN PetscErrorCode MatView(Mat, PetscViewer);
739 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat, PetscReal, PetscBool *);
740 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat, PetscBool *);
741 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat, PetscReal, PetscBool *);
742 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat, PetscBool *, PetscBool *);
743 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat, PetscBool *, PetscBool *);
744 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat, PetscBool *, PetscBool *);
745 PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat, PetscBool *, PetscBool *);
746 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat, PetscBool *, PetscInt *);
747 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
748 
749 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
750 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
751 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
752 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
753 
754 /*S
755    MatInfo - Context of matrix information, used with `MatGetInfo()`
756 
757    Level: intermediate
758 
759    Fortran Note:
760    Information is stored as a double-precision array of dimension `MAT_INFO_SIZE`
761 
762 .seealso: [](ch_matrices), `Mat`, `MatGetInfo()`, `MatInfoType`
763 S*/
764 typedef struct {
765   PetscLogDouble block_size;                          /* block size */
766   PetscLogDouble nz_allocated, nz_used, nz_unneeded;  /* number of nonzeros */
767   PetscLogDouble memory;                              /* memory allocated */
768   PetscLogDouble assemblies;                          /* number of matrix assemblies called */
769   PetscLogDouble mallocs;                             /* number of mallocs during MatSetValues() */
770   PetscLogDouble fill_ratio_given, fill_ratio_needed; /* fill ratio for LU/ILU */
771   PetscLogDouble factor_mallocs;                      /* number of mallocs during factorization */
772 } MatInfo;
773 
774 /*E
775     MatInfoType - Indicates if you want information about the local part of the matrix,
776     the entire parallel matrix or the maximum over all the local parts.
777 
778     Values:
779 +   `MAT_LOCAL`      - values for each MPI process part of the matrix
780 .   `MAT_GLOBAL_MAX` - maximum of each value over all MPI processes
781 -   `MAT_GLOBAL_SUM` - sum of each value over all MPI processes
782 
783     Level: beginner
784 
785 .seealso: [](ch_matrices), `MatGetInfo()`, `MatInfo`
786 E*/
787 typedef enum {
788   MAT_LOCAL      = 1,
789   MAT_GLOBAL_MAX = 2,
790   MAT_GLOBAL_SUM = 3
791 } MatInfoType;
792 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat, MatInfoType, MatInfo *);
793 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat, Vec);
794 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat, Vec, PetscInt[]);
795 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat, Vec, PetscInt[]);
796 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat, Vec, PetscInt[]);
797 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat, Vec, PetscInt[]);
798 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat, Vec);
799 PETSC_EXTERN PetscErrorCode MatTranspose(Mat, MatReuse, Mat *);
800 PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat, Mat *);
801 PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat, Mat);
802 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat, MatReuse, Mat *);
803 PETSC_EXTERN PetscErrorCode MatPermute(Mat, IS, IS, Mat *);
804 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat, Vec, Vec);
805 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat, Vec, InsertMode);
806 
807 PETSC_EXTERN PetscErrorCode MatEqual(Mat, Mat, PetscBool *);
808 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat, Mat, PetscInt, PetscBool *);
809 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat, Mat, PetscInt, PetscBool *);
810 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
811 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
812 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
813 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
814 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
815 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
816 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
817 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
818 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
819 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat, PetscInt, PetscBool *);
820 
821 PETSC_EXTERN PetscErrorCode MatNorm(Mat, NormType, PetscReal *);
822 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat, NormType, PetscReal *);
823 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat, PetscScalar *);
824 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat, PetscReal *);
825 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat, PetscReal *);
826 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat, PetscScalar *);
827 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat, PetscReal *);
828 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat, PetscReal *);
829 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat, PetscInt, PetscReal *);
830 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
831 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
832 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
833 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat, IS, PetscScalar, Vec, Vec);
834 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
835 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
836 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
837 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat, IS, PetscScalar, Vec, Vec);
838 
839 PETSC_EXTERN PetscErrorCode MatGetSize(Mat, PetscInt *, PetscInt *);
840 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat, PetscInt *, PetscInt *);
841 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat, PetscInt *, PetscInt *);
842 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat, const PetscInt **);
843 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat, PetscInt *, PetscInt *);
844 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat, const PetscInt **);
845 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat, IS *, IS *);
846 
847 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
848 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[])
849 {
850   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
851 }
852 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
853 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[])
854 {
855   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
856 }
857 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
858 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
859 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
860 PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatrix()", ) static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat)
861 {
862   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
863 }
864 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
865 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
866 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
867 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);
868 
869 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm, Mat, PetscInt, PetscInt, MatReuse, Mat *);
870 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm, Mat, PetscInt, PetscInt, Mat *);
871 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat, Mat);
872 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat, MatReuse, Mat *);
873 PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat, Mat *);
874 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
875 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat, MatReuse, IS *, Mat *);
876 PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat, PetscCount *);
877 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat, Mat, MatReuse, IS *, IS *, Mat *);
878 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *, const PetscInt *[]);
879 
880 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
881 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat, PetscInt n, IS is[], PetscInt ov);
882 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);
883 
884 PETSC_EXTERN PetscErrorCode MatMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
885 
886 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
887 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
888 
889 PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
890 PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);
891 
892 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
893 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);
894 
895 PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
896 PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);
897 
898 PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
899 PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);
900 
901 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping, ISLocalToGlobalMapping);
902 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
903 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat, PetscLayout *, PetscLayout *);
904 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat, PetscLayout, PetscLayout);
905 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
906 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
907 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
908 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
909 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
910 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
911 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
912 
913 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
914 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);
915 
916 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat, Vec, Vec);
917 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat, Vec, Vec, Vec);
918 PETSC_EXTERN PetscErrorCode MatRestrict(Mat, Vec, Vec);
919 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat, Mat, Mat *);
920 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat, Mat, Mat, Mat *);
921 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat, Mat, Mat *);
922 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat, Vec *, Vec *);
923 PETSC_DEPRECATED_FUNCTION(3, 6, 0, "MatCreateVecs()", ) static inline PetscErrorCode MatGetVecs(Mat mat, Vec *x, Vec *y)
924 {
925   return MatCreateVecs(mat, x, y);
926 }
927 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat, PetscInt, MPI_Comm, MatReuse, Mat *);
928 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat, MPI_Comm, MatReuse, Mat *);
929 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat, IS *);
930 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat, IS *);
931 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm, Mat, PetscInt, MatReuse, Mat *);
932 
933 /*@C
934    MatSetValue - Set a single entry into a matrix.
935 
936    Not Collective
937 
938    Input Parameters:
939 +  mat  - the matrix
940 .  i    - the row location of the entry
941 .  j    - the column location of the entry
942 .  va   - the value to insert
943 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
944 
945    Level: beginner
946 
947    Notes:
948    This value may be cached, so `MatAssemblyBegin()` and `MatAssemblyEnd()`
949    MUST be called after all calls to `MatSetValue()` have been completed.
950 
951    For efficiency one should use `MatSetValues()` and set several values simultaneously.
952 
953 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `InsertMode`, `MatGetValue()`, `MatSetValues()`,
954           `MatSetValueLocal()`, `MatSetValuesLocal()`
955 @*/
956 static inline PetscErrorCode MatSetValue(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
957 {
958   return MatSetValues(mat, 1, &i, 1, &j, &va, mode);
959 }
960 
961 /*@C
962    MatGetValue - Gets a single value from a matrix
963 
964    Not Collective; can only return a value owned by the given process
965 
966    Input Parameters:
967 +  mat - the matrix
968 .  row - the row location of the entry
969 -  col - the column location of the entry
970 
971    Output Parameter:
972 .  va - the value
973 
974    Level: advanced
975 
976    Notes:
977    The matrix must have been assembled with `MatAssemblyBegin()` and `MatAssemblyEnd()` before this call
978 
979    For efficiency one should use `MatGetValues()` and get several values simultaneously.
980 
981    See notes for `MatGetValues()`.
982 
983 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
984 @*/
985 static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
986 {
987   return MatGetValues(mat, 1, &row, 1, &col, va);
988 }
989 
990 /*@C
991    MatSetValueLocal - Inserts or adds a single value into a matrix, using a local numbering of the nodes.
992 
993    Not Collective
994 
995    Input Parameters:
996 +  mat  - the matrix
997 .  i    - the row location of the entry
998 .  j    - the column location of the entry
999 .  va   - the value to insert
1000 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
1001 
1002    Level: intermediate
1003 
1004    Notes:
1005    For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.
1006 
1007    See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.
1008 
1009 .seealso: [](ch_matrices), `MatSetValue()`, `MatSetValuesLocal()`
1010 @*/
1011 static inline PetscErrorCode MatSetValueLocal(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
1012 {
1013   return MatSetValuesLocal(mat, 1, &i, 1, &j, &va, mode);
1014 }
1015 
1016 /*MC
1017    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
1018    row in a matrix providing the data that one can use to correctly preallocate the matrix.
1019 
1020    Synopsis:
1021    #include <petscmat.h>
1022    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
1023 
1024    Collective
1025 
1026    Input Parameters:
1027 +  comm  - the communicator that will share the eventually allocated matrix
1028 .  nrows - the number of LOCAL rows in the matrix
1029 -  ncols - the number of LOCAL columns in the matrix
1030 
1031    Output Parameters:
1032 +  dnz - the array that will be passed to the matrix preallocation routines
1033 -  onz - the other array passed to the matrix preallocation routines
1034 
1035    Level: deprecated (since v3.19)
1036 
1037    Notes:
1038    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1039    the use of this routine
1040 
1041    This is a macro that handles its own error checking, it does not return an error code.
1042 
1043    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1044 
1045    Developer Note:
1046    This is a MACRO, not a function, because it has a leading { that is closed by `PetscPreallocateFinalize()`.
1047 
1048 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1049           `MatPreallocateSymmetricSetLocalBlock()`
1050 M*/
1051 #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
1052   do { \
1053     PetscInt              __nrows = (nrows), __ncols = (ncols), __rstart, __end = 0; \
1054     PetscInt PETSC_UNUSED __start; \
1055     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
1056     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
1057     __start = __end - __ncols; \
1058     (void)__start; \
1059     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
1060   __rstart -= __nrows
1061 
1062 #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateBegin()", ) MatPreallocateBegin(__VA_ARGS__)
1063 
1064 /*MC
1065    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1066    inserted using a local number of the rows and columns
1067 
1068    Synopsis:
1069    #include <petscmat.h>
1070    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1071 
1072    Not Collective
1073 
1074    Input Parameters:
1075 +  map   - the row mapping from local numbering to global numbering
1076 .  nrows - the number of rows indicated
1077 .  rows  - the indices of the rows
1078 .  cmap  - the column mapping from local to global numbering
1079 .  ncols - the number of columns in the matrix
1080 .  cols  - the columns indicated
1081 .  dnz   - the array that will be passed to the matrix preallocation routines
1082 -  onz   - the other array passed to the matrix preallocation routines
1083 
1084    Level: deprecated (since v3.19)
1085 
1086    Notes:
1087    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1088    the use of this routine
1089 
1090    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1091 
1092 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1093           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
1094 M*/
1095 #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1096   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));)
1097 
1098 /*MC
1099    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1100    inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
1101 
1102    Synopsis:
1103    #include <petscmat.h>
1104    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1105 
1106    Not Collective
1107 
1108    Input Parameters:
1109 +  map   - the row mapping from local numbering to global numbering
1110 .  nrows - the number of rows indicated
1111 .  rows  - the indices of the rows (these values are mapped to the global values)
1112 .  cmap  - the column mapping from local to global numbering
1113 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1114 .  cols  - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1115 .  dnz   - the array that will be passed to the matrix preallocation routines
1116 -  onz   - the other array passed to the matrix preallocation routines
1117 
1118    Level: deprecated (since v3.19)
1119 
1120    Notes:
1121    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1122    the use of this routine
1123 
1124    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1125 
1126 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1127           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1128 M*/
1129 #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1130   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));)
1131 
1132 /*MC
1133    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1134    inserted using a local number of the rows and columns
1135 
1136    Synopsis:
1137    #include <petscmat.h>
1138    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1139 
1140    Not Collective
1141 
1142    Input Parameters:
1143 +  map   - the row mapping from local numbering to global numbering
1144 .  nrows - the number of rows indicated
1145 .  rows  - the indices of the rows
1146 .  cmap  - the column mapping from local to global numbering
1147 .  ncols - the number of columns in the matrix
1148 .  cols  - the columns indicated
1149 .  dnz   - the array that will be passed to the matrix preallocation routines
1150 -  onz   - the other array passed to the matrix preallocation routines
1151 
1152    Level: deprecated (since v3.19)
1153 
1154    Notes:
1155    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1156    the use of this routine
1157 
1158    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1159 
1160 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1161           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1162 M*/
1163 #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1164   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));)
1165 
1166 /*MC
1167    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1168    inserted using a local number of the rows and columns
1169 
1170    Synopsis:
1171    #include <petscmat.h>
1172    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1173 
1174    Not Collective
1175 
1176    Input Parameters:
1177 +  map   - the mapping between local numbering and global numbering
1178 .  nrows - the number of rows indicated
1179 .  rows  - the indices of the rows
1180 .  ncols - the number of columns in the matrix
1181 .  cols  - the columns indicated
1182 .  dnz   - the array that will be passed to the matrix preallocation routines
1183 -  onz   - the other array passed to the matrix preallocation routines
1184 
1185    Level: deprecated (since v3.19)
1186 
1187    Notes:
1188    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1189    the use of this routine
1190 
1191    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1192 
1193 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`
1194           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1195 M*/
1196 #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1197   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));)
1198 
1199 /*MC
1200    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1201    inserted using a local number of the rows and columns
1202 
1203    Synopsis:
1204    #include <petscmat.h>
1205    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1206 
1207    Not Collective
1208 
1209    Input Parameters:
1210 +  row   - the row
1211 .  ncols - the number of columns in the matrix
1212 -  cols  - the columns indicated
1213 
1214    Output Parameters:
1215 +  dnz - the array that will be passed to the matrix preallocation routines
1216 -  onz - the other array passed to the matrix preallocation routines
1217 
1218    Level: deprecated (since v3.19)
1219 
1220    Notes:
1221    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1222    the use of this routine
1223 
1224    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1225 
1226    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().
1227 
1228 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1229           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1230 M*/
1231 #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1232   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) { \
1233     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1234     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1235   })
1236 
1237 /*MC
1238    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1239    inserted using a local number of the rows and columns
1240 
1241    Synopsis:
1242    #include <petscmat.h>
1243    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1244 
1245    Not Collective
1246 
1247    Input Parameters:
1248 +  nrows - the number of rows indicated
1249 .  rows  - the indices of the rows
1250 .  ncols - the number of columns in the matrix
1251 .  cols  - the columns indicated
1252 .  dnz   - the array that will be passed to the matrix preallocation routines
1253 -  onz   - the other array passed to the matrix preallocation routines
1254 
1255    Level: deprecated (since v3.19)
1256 
1257    Notes:
1258    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1259    the use of this routine
1260 
1261    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1262 
1263    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().
1264 
1265 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1266           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1267 M*/
1268 #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1269   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
1270     if (cols[__i] >= __end) onz[row - __rstart]++; \
1271     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1272   })
1273 
1274 /*MC
1275    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1276 
1277    Synopsis:
1278    #include <petscmat.h>
1279    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1280 
1281    Not Collective
1282 
1283    Input Parameters:
1284 +  A     - matrix
1285 .  row   - row where values exist (must be local to this process)
1286 .  ncols - number of columns
1287 .  cols  - columns with nonzeros
1288 .  dnz   - the array that will be passed to the matrix preallocation routines
1289 -  onz   - the other array passed to the matrix preallocation routines
1290 
1291    Level: deprecated (since v3.19)
1292 
1293    Notes:
1294    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1295    the use of this routine
1296 
1297    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1298 
1299    Developer Note:
1300    This is a MACRO, not a function, because it uses a bunch of variables private to the MatPreallocation.... routines.
1301 
1302 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1303           `MatPreallocateSymmetricSetLocalBlock()`
1304 M*/
1305 #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))
1306 
1307 /*MC
1308    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1309    row in a matrix providing the data that one can use to correctly preallocate the matrix.
1310 
1311    Synopsis:
1312    #include <petscmat.h>
1313    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)
1314 
1315    Collective
1316 
1317    Input Parameters:
1318 +  dnz - the array that was be passed to the matrix preallocation routines
1319 -  onz - the other array passed to the matrix preallocation routines
1320 
1321    Level: deprecated (since v3.19)
1322 
1323    Notes:
1324    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1325    the use of this routine
1326 
1327    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1328 
1329    Developer Note:
1330    This is a MACRO, not a function, because it closes the { started in MatPreallocateBegin().
1331 
1332 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1333           `MatPreallocateSymmetricSetLocalBlock()`
1334 M*/
1335 #define MatPreallocateEnd(dnz, onz) \
1336   PetscCall(PetscFree2(dnz, onz)); \
1337   } \
1338   while (0)
1339 
1340 #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateEnd()", ) MatPreallocateEnd(__VA_ARGS__)
1341 
1342 /* Routines unique to particular data structures */
1343 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, void *);
1344 
1345 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1346 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);
1347 
1348 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1349 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1350 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1351 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1352 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1353 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscInt, PetscBool);
1354 
1355 #define MAT_SKIP_ALLOCATION -4
1356 
1357 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1358 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1359 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1360 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);
1361 
1362 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1363 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1364 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1365 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1366 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1367 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1368 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1369 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1370 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1371 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1372 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1373 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1374 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1375 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1376 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);
1377 
1378 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1379 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1380 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatDenseSetLDA()", ) static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
1381 {
1382   return MatDenseSetLDA(A, lda);
1383 }
1384 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);
1385 
1386 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1387 
1388 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1389 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1390 
1391 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1392 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1393 /*
1394   These routines are not usually accessed directly, rather solving is
1395   done through the KSP and PC interfaces.
1396 */
1397 
1398 /*J
1399    MatOrderingType - String with the name of a PETSc matrix ordering. These orderings are most commonly used
1400    to reduce fill in sparse factorizations.
1401 
1402    Level: beginner
1403 
1404    Notes:
1405    If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and instead the external factorization solver package called utilizes one
1406    of its own.
1407 
1408    There is no `MatOrdering` object, the ordering is obtained directly from the matrix with `MatGetOrdering()`
1409 
1410    Developer Note:
1411    This API should be converted to an API similar to those for `MatColoring` and `MatPartitioning`
1412 
1413 .seealso: [](ch_matrices), [](sec_graph), `MatGetFactor()`, `MatGetOrdering()`, `MatColoringType`, `MatPartitioningType`, `MatCoarsenType`, `MatCoarsenType`,
1414           `PCFactorSetOrderingType()`
1415 J*/
1416 typedef const char *MatOrderingType;
1417 #define MATORDERINGNATURAL       "natural"
1418 #define MATORDERINGND            "nd"
1419 #define MATORDERING1WD           "1wd"
1420 #define MATORDERINGRCM           "rcm"
1421 #define MATORDERINGQMD           "qmd"
1422 #define MATORDERINGROWLENGTH     "rowlength"
1423 #define MATORDERINGWBM           "wbm"
1424 #define MATORDERINGSPECTRAL      "spectral"
1425 #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1426 #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1427 #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 */
1428 #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */
1429 
1430 PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1431 PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1432 PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1433 PETSC_EXTERN PetscFunctionList MatOrderingList;
1434 
1435 #include "petscmatcoarsen.h"
1436 
1437 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1438 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);
1439 
1440 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);
1441 
1442 /*S
1443    MatFactorShiftType - Type of numeric shift used for factorizations
1444 
1445    Values:
1446 +  `MAT_SHIFT_NONE`              - do not shift the matrix diagonal entries
1447 .  `MAT_SHIFT_NONZERO`           - shift the entries to be non-zero
1448 .  `MAT_SHIFT_POSITIVE_DEFINITE` - shift the entries to force the factorization to be positive definite
1449 -  `MAT_SHIFT_INBLOCKS`          - only shift the factors inside the small dense diagonal blocks of the matrix, for example with `MATBAIJ`
1450 
1451    Level: intermediate
1452 
1453 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `PCFactorSetShiftType()`
1454 S*/
1455 typedef enum {
1456   MAT_SHIFT_NONE,
1457   MAT_SHIFT_NONZERO,
1458   MAT_SHIFT_POSITIVE_DEFINITE,
1459   MAT_SHIFT_INBLOCKS
1460 } MatFactorShiftType;
1461 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1462 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1463 
1464 /*S
1465     MatFactorError - indicates what type of error was generated in a matrix factorization
1466 
1467     Values:
1468 +   `MAT_FACTOR_NOERROR`           - there was no error during the factorization
1469 .   `MAT_FACTOR_STRUCT_ZEROPIVOT`  - there was a missing entry in a diagonal location of the matrix
1470 .   `MAT_FACTOR_NUMERIC_ZEROPIVOT` - there was a (near) zero pivot during the factorization
1471 .   `MAT_FACTOR_OUTMEMORY`         - the factorization has run out of memory
1472 -   `MAT_FACTOR_OTHER`             - some other error has occurred.
1473 
1474     Level: intermediate
1475 
1476     Note:
1477     When a factorization is done in a preconditioner `PC` the error may be propagated up to a `PCFailedReason` or a `KSPConvergedReason`
1478 
1479 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `MatFactorGetError()`, `MatFactorGetErrorZeroPivot()`, `MatFactorClearError()`,
1480           `PCFailedReason`, `PCGetFailedReason()`, `KSPConvergedReason`
1481 S*/
1482 typedef enum {
1483   MAT_FACTOR_NOERROR,
1484   MAT_FACTOR_STRUCT_ZEROPIVOT,
1485   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1486   MAT_FACTOR_OUTMEMORY,
1487   MAT_FACTOR_OTHER
1488 } MatFactorError;
1489 
1490 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1491 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1492 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);
1493 
1494 /*S
1495    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1496 
1497    Level: developer
1498 
1499    Note:
1500    You can use `MatFactorInfoInitialize()` to set default values.
1501 
1502    Fortran Note:
1503    The data is available in a double precision arrays of size `MAT_FACTORINFO_SIZE`
1504 
1505 .seealso: [](ch_matrices), `Mat`, `MatInfo`, `MatGetFactor()`, `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`,
1506           `MatICCFactorSymbolic()`, `MatICCFactor()`, `MatFactorInfoInitialize()`
1507 S*/
1508 typedef struct {
1509   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1510   PetscReal usedt;
1511   PetscReal dt;            /* drop tolerance */
1512   PetscReal dtcol;         /* tolerance for pivoting */
1513   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1514   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1515   PetscReal levels;        /* ICC/ILU(levels) */
1516   PetscReal pivotinblocks; /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1517                                    factorization may be faster if do not pivot */
1518   PetscReal zeropivot;     /* pivot is called zero if less than this */
1519   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1520   PetscReal shiftamount;   /* how large the shift is */
1521 } MatFactorInfo;
1522 
1523 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1524 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1525 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1526 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1527 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1528 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1529 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1530 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1531 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1532 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1533 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1534 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1535 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1536 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1537 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1538 PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1539 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1540 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1541 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1542 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1543 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1544 PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1545 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1546 
1547 typedef enum {
1548   MAT_FACTOR_SCHUR_UNFACTORED,
1549   MAT_FACTOR_SCHUR_FACTORED,
1550   MAT_FACTOR_SCHUR_INVERTED
1551 } MatFactorSchurStatus;
1552 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1553 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1554 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1555 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1556 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1557 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1558 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1559 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1560 
1561 PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1562 /*E
1563    MatSORType - What type of (S)SOR to perform
1564 
1565    Values:
1566 +  `SOR_FORWARD_SWEEP`         - do a sweep from the first row of the matrix to the last
1567 .  `SOR_BACKWARD_SWEEP`        - do a sweep from the last row to the first
1568 .  `SOR_SYMMETRIC_SWEEP`       - do a sweep from the first row to the last and then back to the first
1569 .  `SOR_LOCAL_FORWARD_SWEEP`   - each MPI process does its own forward sweep with no communication
1570 .  `SOR_LOCAL_BACKWARD_SWEEP`  - each MPI process does its own backward sweep with no communication
1571 .  `SOR_LOCAL_SYMMETRIC_SWEEP` - each MPI process does its own symmetric sweep with no communication
1572 .  `SOR_ZERO_INITIAL_GUESS`    - indicates the initial solution is zero so the sweep can avoid unneeded computation
1573 .  `SOR_EISENSTAT`             - apply the Eisentat application of SOR, see `PCEISENSTAT`
1574 .  `SOR_APPLY_UPPER`           - multiply by the upper triangular portion of the matrix
1575 -  `SOR_APPLY_LOWER`           - multiply by the lower triangular portion of the matrix
1576 
1577    Level: beginner
1578 
1579    Note:
1580    These may be bitwise ORd together
1581 
1582    Developer Note:
1583    Since `MatSORType` may be bitwise ORd together, so do not change the numerical values below
1584 
1585 .seealso: [](ch_matrices), `MatSOR()`
1586 E*/
1587 typedef enum {
1588   SOR_FORWARD_SWEEP         = 1,
1589   SOR_BACKWARD_SWEEP        = 2,
1590   SOR_SYMMETRIC_SWEEP       = 3,
1591   SOR_LOCAL_FORWARD_SWEEP   = 4,
1592   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1593   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1594   SOR_ZERO_INITIAL_GUESS    = 16,
1595   SOR_EISENSTAT             = 32,
1596   SOR_APPLY_UPPER           = 64,
1597   SOR_APPLY_LOWER           = 128
1598 } MatSORType;
1599 PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);
1600 
1601 /*S
1602    MatColoring - Object for managing the coloring of matrices.
1603 
1604    Level: beginner
1605 
1606    Notes:
1607    Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1608    matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).
1609 
1610    Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1611    same object can also be used to efficiently convert data created by Automatic Differentiation tools to PETSc sparse matrices.
1612 
1613 .seealso: [](ch_matrices), [](sec_graph), `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`,
1614           `MatPartitioning`, `MatColoringType`, `MatPartitioningType`, `MatOrderingType`, `MatColoringSetWeightType()`,
1615           `MatColoringSetWeights()`, `MatCoarsenType`, `MatCoarsen`
1616 S*/
1617 typedef struct _p_MatColoring *MatColoring;
1618 
1619 /*J
1620    MatColoringType - String with the name of a PETSc matrix coloring
1621 
1622    Level: beginner
1623 
1624 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatFDColoringCreate()`, `MatColoringSetType()`, `MatColoring`
1625 J*/
1626 typedef const char *MatColoringType;
1627 #define MATCOLORINGJP      "jp"
1628 #define MATCOLORINGPOWER   "power"
1629 #define MATCOLORINGNATURAL "natural"
1630 #define MATCOLORINGSL      "sl"
1631 #define MATCOLORINGLF      "lf"
1632 #define MATCOLORINGID      "id"
1633 #define MATCOLORINGGREEDY  "greedy"
1634 
1635 /*E
1636    MatColoringWeightType - Type of weight scheme used for the coloring algorithm
1637 
1638    Values:
1639 +  `MAT_COLORING_RANDOM`  - Random weights
1640 .  `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1641 -  `MAT_COLORING_LF`      - Last-first weighting.
1642 
1643     Level: intermediate
1644 
1645 .seealso: [](ch_matrices), `MatColoring`, `MatColoringCreate()`, `MatColoringSetWeightType()`, `MatColoringSetWeights()`
1646 E*/
1647 typedef enum {
1648   MAT_COLORING_WEIGHT_RANDOM,
1649   MAT_COLORING_WEIGHT_LEXICAL,
1650   MAT_COLORING_WEIGHT_LF,
1651   MAT_COLORING_WEIGHT_SL
1652 } MatColoringWeightType;
1653 
1654 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1655 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1656 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1657 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1658 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1659 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1660 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1661 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1662 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1663 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1664 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1665 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1666 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1667 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1668 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1669 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1670 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1671 PETSC_DEPRECATED_FUNCTION(3, 10, 0, "MatColoringTest()", ) static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
1672 {
1673   return MatColoringTest(matcoloring, iscoloring);
1674 }
1675 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);
1676 
1677 /*S
1678    MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring
1679 
1680    Level: beginner
1681 
1682    Notes:
1683    This object is creating utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`
1684 
1685    The `SNES` option `-snes_fd_coloring` will cause the Jacobian needed by `SNES` to be computed via a use of this object
1686 
1687 .seealso: [](ch_matrices), `Mat`, `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1688 S*/
1689 typedef struct _p_MatFDColoring *MatFDColoring;
1690 
1691 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1692 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1693 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1694 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, PetscErrorCode (*)(void), void *);
1695 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, PetscErrorCode (**)(void), void **);
1696 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1697 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1698 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1699 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1700 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1701 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1702 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1703 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);
1704 
1705 /*S
1706    MatTransposeColoring - Object for computing a sparse matrix product $C = A*B^T$ via coloring
1707 
1708    Level: developer
1709 
1710 .seealso: [](ch_matrices), `Mat`, `MatProductType`, `MatTransposeColoringCreate()`
1711 S*/
1712 typedef struct _p_MatTransposeColoring *MatTransposeColoring;
1713 
1714 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1715 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1716 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1717 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);
1718 
1719 /*S
1720    MatPartitioning - Object for managing the partitioning of a matrix or graph
1721 
1722    Level: beginner
1723 
1724    Note:
1725    There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1726    via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)
1727 
1728    Developers Note:
1729    It is an extra maintenance and documentation cost to have two objects with the same functionality. `PetscPartitioner` should be removed
1730 
1731 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`, `MatOrderingType`,
1732           `MatCoarsenType`, `MatCoarsenType`
1733 S*/
1734 typedef struct _p_MatPartitioning *MatPartitioning;
1735 
1736 /*J
1737     MatPartitioningType - String with the name of a PETSc matrix partitioning
1738 
1739    Level: beginner
1740 dm
1741 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`, `MatColoringType`, `MatOrderingType`,
1742           `MatCoarsenType`, `MatCoarsenType`
1743 J*/
1744 typedef const char *MatPartitioningType;
1745 #define MATPARTITIONINGCURRENT  "current"
1746 #define MATPARTITIONINGAVERAGE  "average"
1747 #define MATPARTITIONINGSQUARE   "square"
1748 #define MATPARTITIONINGPARMETIS "parmetis"
1749 #define MATPARTITIONINGCHACO    "chaco"
1750 #define MATPARTITIONINGPARTY    "party"
1751 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1752 #define MATPARTITIONINGHIERARCH "hierarch"
1753 
1754 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1755 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1756 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1757 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1758 PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1759 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1760 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1761 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1762 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1763 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1764 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1765 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1766 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1767 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1768 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1769 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1770 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1771 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1772 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);
1773 
1774 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1775 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1776 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1777 
1778 typedef enum {
1779   MP_CHACO_MULTILEVEL = 1,
1780   MP_CHACO_SPECTRAL   = 2,
1781   MP_CHACO_LINEAR     = 4,
1782   MP_CHACO_RANDOM     = 5,
1783   MP_CHACO_SCATTERED  = 6
1784 } MPChacoGlobalType;
1785 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1786 typedef enum {
1787   MP_CHACO_KERNIGHAN = 1,
1788   MP_CHACO_NONE      = 2
1789 } MPChacoLocalType;
1790 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1791 typedef enum {
1792   MP_CHACO_LANCZOS = 0,
1793   MP_CHACO_RQI     = 1
1794 } MPChacoEigenType;
1795 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1796 
1797 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1798 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1799 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1800 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1801 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1802 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1803 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1804 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1805 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1806 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1807 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);
1808 
1809 #define MP_PARTY_OPT "opt"
1810 #define MP_PARTY_LIN "lin"
1811 #define MP_PARTY_SCA "sca"
1812 #define MP_PARTY_RAN "ran"
1813 #define MP_PARTY_GBF "gbf"
1814 #define MP_PARTY_GCF "gcf"
1815 #define MP_PARTY_BUB "bub"
1816 #define MP_PARTY_DEF "def"
1817 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1818 #define MP_PARTY_HELPFUL_SETS  "hs"
1819 #define MP_PARTY_KERNIGHAN_LIN "kl"
1820 #define MP_PARTY_NONE          "no"
1821 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1822 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1823 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1824 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);
1825 
1826 typedef enum {
1827   MP_PTSCOTCH_DEFAULT,
1828   MP_PTSCOTCH_QUALITY,
1829   MP_PTSCOTCH_SPEED,
1830   MP_PTSCOTCH_BALANCE,
1831   MP_PTSCOTCH_SAFETY,
1832   MP_PTSCOTCH_SCALABILITY
1833 } MPPTScotchStrategyType;
1834 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1835 
1836 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1837 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1838 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1839 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);
1840 
1841 /*
1842  * hierarchical partitioning
1843  */
1844 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1845 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1846 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1847 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1848 
1849 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);
1850 
1851 /*
1852     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1853     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1854 */
1855 typedef enum {
1856   MATOP_SET_VALUES               = 0,
1857   MATOP_GET_ROW                  = 1,
1858   MATOP_RESTORE_ROW              = 2,
1859   MATOP_MULT                     = 3,
1860   MATOP_MULT_ADD                 = 4,
1861   MATOP_MULT_TRANSPOSE           = 5,
1862   MATOP_MULT_TRANSPOSE_ADD       = 6,
1863   MATOP_SOLVE                    = 7,
1864   MATOP_SOLVE_ADD                = 8,
1865   MATOP_SOLVE_TRANSPOSE          = 9,
1866   MATOP_SOLVE_TRANSPOSE_ADD      = 10,
1867   MATOP_LUFACTOR                 = 11,
1868   MATOP_CHOLESKYFACTOR           = 12,
1869   MATOP_SOR                      = 13,
1870   MATOP_TRANSPOSE                = 14,
1871   MATOP_GETINFO                  = 15,
1872   MATOP_EQUAL                    = 16,
1873   MATOP_GET_DIAGONAL             = 17,
1874   MATOP_DIAGONAL_SCALE           = 18,
1875   MATOP_NORM                     = 19,
1876   MATOP_ASSEMBLY_BEGIN           = 20,
1877   MATOP_ASSEMBLY_END             = 21,
1878   MATOP_SET_OPTION               = 22,
1879   MATOP_ZERO_ENTRIES             = 23,
1880   MATOP_ZERO_ROWS                = 24,
1881   MATOP_LUFACTOR_SYMBOLIC        = 25,
1882   MATOP_LUFACTOR_NUMERIC         = 26,
1883   MATOP_CHOLESKY_FACTOR_SYMBOLIC = 27,
1884   MATOP_CHOLESKY_FACTOR_NUMERIC  = 28,
1885   MATOP_SETUP                    = 29,
1886   MATOP_ILUFACTOR_SYMBOLIC       = 30,
1887   MATOP_ICCFACTOR_SYMBOLIC       = 31,
1888   MATOP_GET_DIAGONAL_BLOCK       = 32,
1889   MATOP_SET_INF                  = 33,
1890   MATOP_DUPLICATE                = 34,
1891   MATOP_FORWARD_SOLVE            = 35,
1892   MATOP_BACKWARD_SOLVE           = 36,
1893   MATOP_ILUFACTOR                = 37,
1894   MATOP_ICCFACTOR                = 38,
1895   MATOP_AXPY                     = 39,
1896   MATOP_CREATE_SUBMATRICES       = 40,
1897   MATOP_INCREASE_OVERLAP         = 41,
1898   MATOP_GET_VALUES               = 42,
1899   MATOP_COPY                     = 43,
1900   MATOP_GET_ROW_MAX              = 44,
1901   MATOP_SCALE                    = 45,
1902   MATOP_SHIFT                    = 46,
1903   MATOP_DIAGONAL_SET             = 47,
1904   MATOP_ZERO_ROWS_COLUMNS        = 48,
1905   MATOP_SET_RANDOM               = 49,
1906   MATOP_GET_ROW_IJ               = 50,
1907   MATOP_RESTORE_ROW_IJ           = 51,
1908   MATOP_GET_COLUMN_IJ            = 52,
1909   MATOP_RESTORE_COLUMN_IJ        = 53,
1910   MATOP_FDCOLORING_CREATE        = 54,
1911   MATOP_COLORING_PATCH           = 55,
1912   MATOP_SET_UNFACTORED           = 56,
1913   MATOP_PERMUTE                  = 57,
1914   MATOP_SET_VALUES_BLOCKED       = 58,
1915   MATOP_CREATE_SUBMATRIX         = 59,
1916   MATOP_DESTROY                  = 60,
1917   MATOP_VIEW                     = 61,
1918   MATOP_CONVERT_FROM             = 62,
1919   /* MATOP_PLACEHOLDER_63=63 */
1920   MATOP_MATMAT_MULT_SYMBOLIC    = 64,
1921   MATOP_MATMAT_MULT_NUMERIC     = 65,
1922   MATOP_SET_LOCAL_TO_GLOBAL_MAP = 66,
1923   MATOP_SET_VALUES_LOCAL        = 67,
1924   MATOP_ZERO_ROWS_LOCAL         = 68,
1925   MATOP_GET_ROW_MAX_ABS         = 69,
1926   MATOP_GET_ROW_MIN_ABS         = 70,
1927   MATOP_CONVERT                 = 71,
1928   MATOP_HAS_OPERATION           = 72,
1929   /* MATOP_PLACEHOLDER_73=73, */
1930   MATOP_SET_VALUES_ADIFOR = 74,
1931   MATOP_FD_COLORING_APPLY = 75,
1932   MATOP_SET_FROM_OPTIONS  = 76,
1933   /* MATOP_PLACEHOLDER_77=77, */
1934   /* MATOP_PLACEHOLDER_78=78, */
1935   MATOP_FIND_ZERO_DIAGONALS       = 79,
1936   MATOP_MULT_MULTIPLE             = 80,
1937   MATOP_SOLVE_MULTIPLE            = 81,
1938   MATOP_GET_INERTIA               = 82,
1939   MATOP_LOAD                      = 83,
1940   MATOP_IS_SYMMETRIC              = 84,
1941   MATOP_IS_HERMITIAN              = 85,
1942   MATOP_IS_STRUCTURALLY_SYMMETRIC = 86,
1943   MATOP_SET_VALUES_BLOCKEDLOCAL   = 87,
1944   MATOP_CREATE_VECS               = 88,
1945   /* MATOP_PLACEHOLDER_89=89, */
1946   MATOP_MAT_MULT_SYMBOLIC = 90,
1947   MATOP_MAT_MULT_NUMERIC  = 91,
1948   /* MATOP_PLACEHOLDER_92=92, */
1949   MATOP_PTAP_SYMBOLIC = 93,
1950   MATOP_PTAP_NUMERIC  = 94,
1951   /* MATOP_PLACEHOLDER_95=95, */
1952   MATOP_MAT_TRANSPOSE_MULT_SYMBO = 96,
1953   MATOP_MAT_TRANSPOSE_MULT_NUMER = 97,
1954   MATOP_BIND_TO_CPU              = 98,
1955   MATOP_PRODUCTSETFROMOPTIONS    = 99,
1956   MATOP_PRODUCTSYMBOLIC          = 100,
1957   MATOP_PRODUCTNUMERIC           = 101,
1958   MATOP_CONJUGATE                = 102,
1959   MATOP_VIEW_NATIVE              = 103,
1960   MATOP_SET_VALUES_ROW           = 104,
1961   MATOP_REAL_PART                = 105,
1962   MATOP_IMAGINARY_PART           = 106,
1963   MATOP_GET_ROW_UPPER_TRIANGULAR = 107,
1964   MATOP_RESTORE_ROW_UPPER_TRIANG = 108,
1965   MATOP_MAT_SOLVE                = 109,
1966   MATOP_MAT_SOLVE_TRANSPOSE      = 110,
1967   MATOP_GET_ROW_MIN              = 111,
1968   MATOP_GET_COLUMN_VECTOR        = 112,
1969   MATOP_MISSING_DIAGONAL         = 113,
1970   MATOP_GET_SEQ_NONZERO_STRUCTUR = 114,
1971   MATOP_CREATE                   = 115,
1972   MATOP_GET_GHOSTS               = 116,
1973   MATOP_GET_LOCAL_SUB_MATRIX     = 117,
1974   MATOP_RESTORE_LOCALSUB_MATRIX  = 118,
1975   MATOP_MULT_DIAGONAL_BLOCK      = 119,
1976   MATOP_HERMITIAN_TRANSPOSE      = 120,
1977   MATOP_MULT_HERMITIAN_TRANSPOSE = 121,
1978   MATOP_MULT_HERMITIAN_TRANS_ADD = 122,
1979   MATOP_GET_MULTI_PROC_BLOCK     = 123,
1980   MATOP_FIND_NONZERO_ROWS        = 124,
1981   MATOP_GET_COLUMN_NORMS         = 125,
1982   MATOP_INVERT_BLOCK_DIAGONAL    = 126,
1983   MATOP_INVERT_VBLOCK_DIAGONAL   = 127,
1984   MATOP_CREATE_SUB_MATRICES_MPI  = 128,
1985   MATOP_SET_VALUES_BATCH         = 129,
1986   /* MATOP_PLACEHOLDER_130=130, */
1987   MATOP_TRANSPOSE_MAT_MULT_SYMBO = 131,
1988   MATOP_TRANSPOSE_MAT_MULT_NUMER = 132,
1989   MATOP_TRANSPOSE_COLORING_CREAT = 133,
1990   MATOP_TRANS_COLORING_APPLY_SPT = 134,
1991   MATOP_TRANS_COLORING_APPLY_DEN = 135,
1992   /* MATOP_PLACEHOLDER_136=136, */
1993   MATOP_RART_SYMBOLIC         = 137,
1994   MATOP_RART_NUMERIC          = 138,
1995   MATOP_SET_BLOCK_SIZES       = 139,
1996   MATOP_AYPX                  = 140,
1997   MATOP_RESIDUAL              = 141,
1998   MATOP_FDCOLORING_SETUP      = 142,
1999   MATOP_FIND_OFFBLOCK_ENTRIES = 143,
2000   MATOP_MPICONCATENATESEQ     = 144,
2001   MATOP_DESTROYSUBMATRICES    = 145,
2002   MATOP_TRANSPOSE_SOLVE       = 146,
2003   MATOP_GET_VALUES_LOCAL      = 147
2004 } MatOperation;
2005 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, void (*)(void));
2006 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, void (**)(void));
2007 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
2008 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
2009 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatProductClear()", ) static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
2010 {
2011   return MatProductClear(A);
2012 }
2013 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, void (*)(void));
2014 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, void (**)(void));
2015 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, void *);
2016 PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscErrorCode (*)(void *));
2017 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
2018 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2019 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2020 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
2021 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscErrorCode (*)(void *), MatType, MatType);
2022 PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);
2023 
2024 /*
2025    Codes for matrices stored on disk. By default they are
2026    stored in a universal format. By changing the format with
2027    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
2028    be stored in a way natural for the matrix, for example dense matrices
2029    would be stored as dense. Matrices stored this way may only be
2030    read into matrices of the same type.
2031 */
2032 #define MATRIX_BINARY_FORMAT_DENSE -1
2033 
2034 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);
2035 
2036 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
2037 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
2038 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
2039 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
2040 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
2041 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
2042 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
2043 PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
2044 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION(3, 10, 0, "MatConvert()", ) PetscErrorCode MatISGetMPIXAIJ(Mat, MatReuse, Mat *);
2045 
2046 /*S
2047    MatNullSpace - Object that removes a null space from a vector, i.e.
2048                   orthogonalizes the vector to a subspace
2049 
2050    Level: advanced
2051 
2052 .seealso: [](ch_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2053 S*/
2054 typedef struct _p_MatNullSpace *MatNullSpace;
2055 
2056 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
2057 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, PetscErrorCode (*)(MatNullSpace, Vec, void *), void *);
2058 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
2059 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
2060 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
2061 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
2062 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
2063 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
2064 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
2065 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
2066 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
2067 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
2068 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
2069 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);
2070 
2071 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
2072 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
2073 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);
2074 
2075 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
2076 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
2077 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);
2078 
2079 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
2080 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);
2081 
2082 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperator()", ) static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
2083 {
2084   return MatComputeOperator(A, PETSC_NULLPTR, B);
2085 }
2086 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperatorTranspose()", ) static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
2087 {
2088   return MatComputeOperatorTranspose(A, PETSC_NULLPTR, B);
2089 }
2090 
2091 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
2092 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
2093 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
2094 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2095 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
2096 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
2097 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
2098 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2099 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
2100 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
2101 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
2102 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
2103 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
2104 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);
2105 
2106 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);
2107 
2108 PETSC_EXTERN PetscErrorCode MatMFFDInitializePackage(void);
2109 PETSC_EXTERN PetscErrorCode MatMFFDFinalizePackage(void);
2110 
2111 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2112 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
2113 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, PetscErrorCode (*)(void *, Vec, Vec), void *);
2114 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, PetscErrorCode (*)(void *, PetscInt, Vec, PetscScalar *));
2115 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, PetscErrorCode (*)(void *, Vec));
2116 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
2117 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
2118 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
2119 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
2120 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
2121 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
2122 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
2123 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, PetscErrorCode (*)(void *, Vec, Vec, PetscScalar *), void *);
2124 
2125 /*S
2126     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2127               Jacobian vector products
2128 
2129     Level: developer
2130 
2131     Notes:
2132     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure
2133 
2134      MatMFFD*() methods actually take the `Mat` as their first argument. Not a `MatMFFD` data structure
2135 
2136     This functionality is often obtained using `MatCreateSNESMF()` or with `SNES` solvers using `-snes_mf` or `-snes_mf_operator`
2137 
2138 .seealso: [](ch_matrices), `MatMFFDType`, `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`,
2139           `MatCreateSNESMF()`, `SNES`, `-snes_mf`, `-snes_mf_operator`
2140 S*/
2141 typedef struct _p_MatMFFD *MatMFFD;
2142 
2143 /*J
2144    MatMFFDType - algorithm used to compute the `h` used in computing matrix-vector products via differencing of a function
2145 
2146    Values:
2147 +   `MATMFFD_DS` - an algorithm described by Dennis and Schnabel {cite}`dennis:83`
2148 -   `MATMFFD_WP` - the Walker-Pernice {cite}`pw98` strategy.
2149 
2150    Level: beginner
2151 
2152 .seealso: [](ch_matrices), `MatMFFDSetType()`, `MatMFFDRegister()`, `MatMFFDSetFunction()`, `MatCreateMFFD()`
2153 J*/
2154 typedef const char *MatMFFDType;
2155 #define MATMFFD_DS "ds"
2156 #define MATMFFD_WP "wp"
2157 
2158 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2159 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));
2160 
2161 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2162 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);
2163 
2164 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);
2165 
2166 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2167 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
2168 
2169 #ifdef PETSC_HAVE_H2OPUS
2170 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatH2OpusKernel)(PetscInt, PetscReal[], PetscReal[], void *);
2171 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernel, void *, PetscReal, PetscInt, PetscInt, Mat *);
2172 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2173 PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2174 PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
2175 PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat, PetscReal);
2176 PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat, PetscBool);
2177 PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat, PetscBool *);
2178 PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat, IS *);
2179 PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2180 PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2181 #endif
2182 
2183 #ifdef PETSC_HAVE_HTOOL
2184 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatHtoolKernel)(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2185 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernel, void *, Mat *);
2186 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat, MatHtoolKernel, void *);
2187 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat, IS *);
2188 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat, IS *);
2189 PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat, PetscBool);
2190 
2191 /*E
2192    MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`
2193 
2194    Values:
2195 +  `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2196 .  `MAT_HTOOL_COMPRESSOR_FULL_ACA`                 - full adaptive cross approximation
2197 -  `MAT_HTOOL_COMPRESSOR_SVD`                      - singular value decomposition
2198 
2199    Level: intermediate
2200 
2201 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2202 E*/
2203 typedef enum {
2204   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2205   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2206   MAT_HTOOL_COMPRESSOR_SVD
2207 } MatHtoolCompressorType;
2208 
2209 /*E
2210    MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`
2211 
2212    Values:
2213 +  `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default)    - axis computed via principle component analysis, split uniformly
2214 .  `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC`            - axis computed via principle component analysis, split barycentrically
2215 .  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR`   - axis along the largest extent of the bounding box, split uniformly
2216 -  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically
2217 
2218    Level: intermediate
2219 
2220    Note:
2221    Higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
2222 
2223 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2224 E*/
2225 typedef enum {
2226   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2227   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2228   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2229   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2230 } MatHtoolClusteringType;
2231 #endif
2232 
2233 #ifdef PETSC_HAVE_MUMPS
2234 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2235 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2236 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2237 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);
2238 
2239 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2240 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2241 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2242 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2243 PETSC_EXTERN PetscErrorCode MatMumpsGetNullPivots(Mat, PetscInt *, PetscInt **);
2244 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2245 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2246 #endif
2247 
2248 #ifdef PETSC_HAVE_MKL_PARDISO
2249 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2250 #endif
2251 
2252 #ifdef PETSC_HAVE_MKL_CPARDISO
2253 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2254 #endif
2255 
2256 #ifdef PETSC_HAVE_SUPERLU
2257 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2258 #endif
2259 
2260 #ifdef PETSC_HAVE_SUPERLU_DIST
2261 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2262 #endif
2263 
2264 #ifdef PETSC_HAVE_STRUMPACK
2265 /*E
2266     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `MATSOLVERSTRUMPACK`
2267 
2268     Values:
2269 +  `MAT_STRUMPACK_NATURAL`   - use the current ordering
2270 .  `MAT_STRUMPACK_METIS`     - use MeTis to compute an ordering
2271 .  `MAT_STRUMPACK_PARMETIS`  - use ParMeTis to compute an ordering
2272 .  `MAT_STRUMPACK_SCOTCH`    - use Scotch to compute an ordering
2273 .  `MAT_STRUMPACK_PTSCOTCH`  - use parallel Scotch to compute an ordering
2274 .  `MAT_STRUMPACK_RCM`       - use an RCM ordering
2275 .  `MAT_STRUMPACK_GEOMETRIC` - use a geometric ordering (needs mesh info from user)
2276 .  `MAT_STRUMPACK_AMD`       - approximate minimum degree
2277 .  `MAT_STRUMPACK_MMD`       - multiple minimum degree
2278 .  `MAT_STRUMPACK_AND`       - approximate nested dissection
2279 .  `MAT_STRUMPACK_MLF`       - minimum local fill
2280 -  `MAT_STRUMPACK_SPECTRAL`  - spectral nested dissection
2281 
2282     Level: intermediate
2283 
2284     Developer Note:
2285     Should be called `MatSTRUMPACKReorderingType`
2286 
2287 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetReordering()`
2288 E*/
2289 typedef enum {
2290   MAT_STRUMPACK_NATURAL,
2291   MAT_STRUMPACK_METIS,
2292   MAT_STRUMPACK_PARMETIS,
2293   MAT_STRUMPACK_SCOTCH,
2294   MAT_STRUMPACK_PTSCOTCH,
2295   MAT_STRUMPACK_RCM,
2296   MAT_STRUMPACK_GEOMETRIC,
2297   MAT_STRUMPACK_AMD,
2298   MAT_STRUMPACK_MMD,
2299   MAT_STRUMPACK_AND,
2300   MAT_STRUMPACK_MLF,
2301   MAT_STRUMPACK_SPECTRAL
2302 } MatSTRUMPACKReordering;
2303 
2304 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2305 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetReordering(Mat, MatSTRUMPACKReordering *);
2306 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricNxyz(Mat, PetscInt, PetscInt, PetscInt);
2307 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricComponents(Mat, PetscInt);
2308 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricWidth(Mat, PetscInt);
2309 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2310 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetColPerm(Mat, PetscBool *);
2311 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGPU(Mat, PetscBool);
2312 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetGPU(Mat, PetscBool *);
2313 
2314 /*E
2315     MatSTRUMPACKCompressionType - Compression used in the approximate sparse factorization solver `MATSOLVERSTRUMPACK`
2316 
2317     Values:
2318 +  `MAT_STRUMPACK_COMPRESSION_TYPE_NONE`          - no compression, direct solver
2319 .  `MAT_STRUMPACK_COMPRESSION_TYPE_HSS`           - hierarchically semi-separable
2320 .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR`           - block low rank
2321 .  `MAT_STRUMPACK_COMPRESSION_TYPE_HODLR`         - hierarchically off-diagonal low rank (requires ButterfyPACK support, configure with --download-butterflypack)
2322 .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR`     - hybrid of BLR and HODLR (requires ButterfyPACK support, configure with --download-butterflypack)
2323 .  `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)
2324 .  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS`      - lossless compression (requires ZFP support, configure with --download-zfp)
2325 -  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY`         - lossy compression (requires ZFP support, configure with --download-zfp)
2326 
2327     Level: intermediate
2328 
2329 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetCompression()`
2330 E*/
2331 typedef enum {
2332   MAT_STRUMPACK_COMPRESSION_TYPE_NONE,
2333   MAT_STRUMPACK_COMPRESSION_TYPE_HSS,
2334   MAT_STRUMPACK_COMPRESSION_TYPE_BLR,
2335   MAT_STRUMPACK_COMPRESSION_TYPE_HODLR,
2336   MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR,
2337   MAT_STRUMPACK_COMPRESSION_TYPE_ZFP_BLR_HODLR,
2338   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS,
2339   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY
2340 } MatSTRUMPACKCompressionType;
2341 
2342 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompression(Mat, MatSTRUMPACKCompressionType);
2343 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompression(Mat, MatSTRUMPACKCompressionType *);
2344 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompRelTol(Mat, PetscReal);
2345 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompRelTol(Mat, PetscReal *);
2346 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompAbsTol(Mat, PetscReal);
2347 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompAbsTol(Mat, PetscReal *);
2348 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompMinSepSize(Mat, PetscInt);
2349 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompMinSepSize(Mat, PetscInt *);
2350 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLeafSize(Mat, PetscInt);
2351 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLeafSize(Mat, PetscInt *);
2352 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLossyPrecision(Mat, PetscInt);
2353 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLossyPrecision(Mat, PetscInt *);
2354 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompButterflyLevels(Mat, PetscInt);
2355 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompButterflyLevels(Mat, PetscInt *);
2356 #endif
2357 
2358 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2359 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2360 PETSC_DEPRECATED_FUNCTION(3, 13, 0, "MatBindToCPU()", ) static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2361 {
2362   return MatBindToCPU(A, flg);
2363 }
2364 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2365 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);
2366 
2367 #ifdef PETSC_HAVE_CUDA
2368 /*E
2369     MatCUSPARSEStorageFormat - indicates the storage format for `MATAIJCUSPARSE` (GPU)
2370     matrices.
2371 
2372     Values:
2373 +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2374 .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2375 -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2376 
2377     Level: intermediate
2378 
2379 .seealso: [](ch_matrices), `MATAIJCUSPARSE`, `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2380 E*/
2381 
2382 typedef enum {
2383   MAT_CUSPARSE_CSR,
2384   MAT_CUSPARSE_ELL,
2385   MAT_CUSPARSE_HYB
2386 } MatCUSPARSEStorageFormat;
2387 
2388 /* these will be strings associated with enumerated type defined above */
2389 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2390 
2391 /*E
2392     MatCUSPARSEFormatOperation - indicates the operation of `MATAIJCUSPARSE` (GPU)
2393     matrices whose operation should use a particular storage format.
2394 
2395     Values:
2396 +   `MAT_CUSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2397 .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2398 .   `MAT_CUSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2399 -   `MAT_CUSPARSE_ALL`          - sets the storage format for all `MATAIJCUSPARSE` (GPU) matrices
2400 
2401     Level: intermediate
2402 
2403 .seealso: [](ch_matrices), `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2404 E*/
2405 typedef enum {
2406   MAT_CUSPARSE_MULT_DIAG,
2407   MAT_CUSPARSE_MULT_OFFDIAG,
2408   MAT_CUSPARSE_MULT,
2409   MAT_CUSPARSE_ALL
2410 } MatCUSPARSEFormatOperation;
2411 
2412 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2413 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2414 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2415 PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2416 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2417 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2418 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2419 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2420 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2421 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2422 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2423 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);
2424 
2425 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2426 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2427 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2428 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2429 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2430 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2431 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2432 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2433 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2434 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2435 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2436 PETSC_EXTERN PetscErrorCode MatDenseCUDASetPreallocation(Mat, PetscScalar *);
2437 
2438 PETSC_EXTERN PetscErrorCode MatCreateSeqSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2439 PETSC_EXTERN PetscErrorCode MatCreateSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2440 #endif
2441 
2442 #ifdef PETSC_HAVE_HIP
2443 /*E
2444     MatHIPSPARSEStorageFormat - indicates the storage format for `MATAIJHIPSPARSE` (GPU)
2445     matrices.
2446 
2447     Values:
2448 +   `MAT_HIPSPARSE_CSR` - Compressed Sparse Row
2449 .   `MAT_HIPSPARSE_ELL` - Ellpack
2450 -   `MAT_HIPSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format
2451 
2452     Level: intermediate
2453 
2454 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
2455 E*/
2456 
2457 typedef enum {
2458   MAT_HIPSPARSE_CSR,
2459   MAT_HIPSPARSE_ELL,
2460   MAT_HIPSPARSE_HYB
2461 } MatHIPSPARSEStorageFormat;
2462 
2463 /* these will be strings associated with enumerated type defined above */
2464 PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];
2465 
2466 /*E
2467     MatHIPSPARSEFormatOperation - indicates the operation of `MATAIJHIPSPARSE` (GPU)
2468     matrices whose operation should use a particular storage format.
2469 
2470     Values:
2471 +   `MAT_HIPSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2472 .   `MAT_HIPSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2473 .   `MAT_HIPSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2474 -   `MAT_HIPSPARSE_ALL`          - sets the storage format for all HIPSPARSE (GPU) matrices
2475 
2476     Level: intermediate
2477 
2478 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
2479 E*/
2480 typedef enum {
2481   MAT_HIPSPARSE_MULT_DIAG,
2482   MAT_HIPSPARSE_MULT_OFFDIAG,
2483   MAT_HIPSPARSE_MULT,
2484   MAT_HIPSPARSE_ALL
2485 } MatHIPSPARSEFormatOperation;
2486 
2487 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2488 PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2489 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
2490 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
2491 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2492 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2493 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
2494 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
2495 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
2496 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
2497 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
2498 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);
2499 
2500 PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2501 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2502 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
2503 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
2504 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
2505 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
2506 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
2507 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
2508 PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
2509 PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
2510 PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);
2511 PETSC_EXTERN PetscErrorCode MatDenseHIPSetPreallocation(Mat, PetscScalar *);
2512 #endif
2513 
2514 #if defined(PETSC_HAVE_VIENNACL)
2515 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2516 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2517 #endif
2518 
2519 #if PetscDefined(HAVE_KOKKOS)
2520 PETSC_EXTERN PetscErrorCode MatCreateAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2521 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2522 #endif
2523 
2524 #if defined(PETSC_HAVE_FFTW)
2525 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2526 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2527 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2528 #endif
2529 
2530 #if defined(PETSC_HAVE_SCALAPACK)
2531 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2532 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2533 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2534 #endif
2535 
2536 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2537 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2538 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2539 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2540 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2541 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2542 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2543 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2544 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);
2545 
2546 PETSC_EXTERN PetscErrorCode MatFilter(Mat, PetscReal, PetscBool, PetscBool);
2547 PETSC_DEPRECATED_FUNCTION(3, 20, 0, "MatFilter()", ) static inline PetscErrorCode MatChop(Mat A, PetscReal tol)
2548 {
2549   return MatFilter(A, tol, PETSC_FALSE, PETSC_FALSE);
2550 }
2551 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);
2552 
2553 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);
2554 
2555 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);
2556 
2557 PETSC_EXTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2558 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);
2559 
2560 PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);
2561 
2562 PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, PetscInt, PetscInt[], Mat *);
2563 PETSC_EXTERN PetscErrorCode MatEliminateZeros(Mat, PetscBool);
2564 
2565 PETSC_EXTERN PetscErrorCode MatCreateDenseFromVecType(MPI_Comm, VecType, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar *, Mat *);
2566 
2567 PETSC_EXTERN PetscErrorCode MatSetHPL(Mat, int);
2568 #define PETSCBMHPL "hpl"
2569