xref: /petsc/include/petscmat.h (revision 623b4cf32a4d9ee5e9da0c76cfd89db17cbd9c1f)
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 MatProductGetAlgorithm(Mat, MatProductAlgorithm *);
288 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat, PetscReal);
289 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
290 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
291 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
292 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat, Mat, Mat, Mat);
293 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
294 PETSC_EXTERN PetscErrorCode MatProductView(Mat, PetscViewer);
295 PETSC_EXTERN PetscErrorCode MatProductGetType(Mat, MatProductType *);
296 PETSC_EXTERN PetscErrorCode MatProductGetMats(Mat, Mat *, Mat *, Mat *);
297 
298 /* Logging support */
299 #define MAT_FILE_CLASSID 1211216 /* used to indicate matrices in binary files */
300 PETSC_EXTERN PetscClassId MAT_CLASSID;
301 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
302 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
303 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
304 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
305 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
306 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
307 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
308 
309 /*E
310    MatReuse - Indicates if matrices obtained from a previous call to `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatConvert()` or several other functions
311    are to be reused to store the new matrix values.
312 
313    Values:
314 +  `MAT_INITIAL_MATRIX` - create a new matrix
315 .  `MAT_REUSE_MATRIX`   - reuse the matrix created with a previous call that used `MAT_INITIAL_MATRIX`
316 .  `MAT_INPLACE_MATRIX` - replace the first input matrix with the new matrix (not applicable to all functions)
317 -  `MAT_IGNORE_MATRIX`  - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
318 
319     Level: beginner
320 
321 .seealso: [](ch_matrices), `Mat`, `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatDestroyMatrices()`, `MatConvert()`
322 E*/
323 typedef enum {
324   MAT_INITIAL_MATRIX,
325   MAT_REUSE_MATRIX,
326   MAT_IGNORE_MATRIX,
327   MAT_INPLACE_MATRIX
328 } MatReuse;
329 
330 /*E
331     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to `MatCreateSubMatrices()`
332     include the matrix values. Currently it is only used by `MatGetSeqNonzeroStructure()`.
333 
334     Values:
335 +  `MAT_DO_NOT_GET_VALUES` - do not copy the matrix values
336 -  `MAT_GET_VALUES`        - copy the matrix values
337 
338     Level: developer
339 
340     Developer Note:
341     Why is not just a boolean used for this information?
342 
343 .seealso: [](ch_matrices), `Mat`, `MatDuplicateOption`, `PetscCopyMode`, `MatGetSeqNonzeroStructure()`
344 E*/
345 typedef enum {
346   MAT_DO_NOT_GET_VALUES,
347   MAT_GET_VALUES
348 } MatCreateSubMatrixOption;
349 
350 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
351 PETSC_EXTERN PetscErrorCode MatFinalizePackage(void);
352 
353 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm, Mat *);
354 PETSC_EXTERN PetscErrorCode MatCreateFromOptions(MPI_Comm, const char *, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
355 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat, PetscInt, PetscInt, PetscInt, PetscInt);
356 PETSC_EXTERN PetscErrorCode MatSetType(Mat, MatType);
357 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat, VecType *);
358 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat, VecType);
359 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
360 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat, PetscObject, const char[]);
361 PETSC_EXTERN PetscErrorCode MatRegister(const char[], PetscErrorCode (*)(Mat));
362 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[], const char[], const char[]);
363 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat, const char[]);
364 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefixFactor(Mat, const char[]);
365 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefixFactor(Mat, const char[]);
366 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat, const char[]);
367 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat, const char *[]);
368 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat, PetscBool);
369 
370 PETSC_EXTERN PetscFunctionList MatList;
371 PETSC_EXTERN PetscFunctionList MatColoringList;
372 PETSC_EXTERN PetscFunctionList MatPartitioningList;
373 
374 /*E
375    MatStructure - Indicates if two matrices have the same nonzero structure
376 
377    Values:
378 +  `SAME_NONZERO_PATTERN`      - the two matrices have identical nonzero patterns
379 .  `DIFFERENT_NONZERO_PATTERN` - the two matrices may have different nonzero patterns
380 .  `SUBSET_NONZERO_PATTERN`    - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
381 -  `UNKNOWN_NONZERO_PATTERN`   - there is no known relationship between the nonzero patterns. In this case the implementations
382                                  may try to detect a relationship to optimize the operation
383 
384    Level: beginner
385 
386    Note:
387    Certain matrix operations (such as `MatAXPY()`) can run much faster if the sparsity pattern of the matrices are the same. But actually determining if
388    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
389    to certain PETSc routines.
390 
391 .seealso: [](ch_matrices), `Mat`, `MatCopy()`, `MatAXPY()`, `MatAYPX()`
392 E*/
393 typedef enum {
394   DIFFERENT_NONZERO_PATTERN,
395   SUBSET_NONZERO_PATTERN,
396   SAME_NONZERO_PATTERN,
397   UNKNOWN_NONZERO_PATTERN
398 } MatStructure;
399 PETSC_EXTERN const char *const MatStructures[];
400 
401 #if defined                 PETSC_HAVE_MKL_SPARSE
402 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
403 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
404 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
405 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
406 #endif
407 
408 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJPERM(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
409 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJPERM(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
410 
411 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
412 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
413 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat, PetscInt, const PetscInt[]);
414 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
415 PETSC_EXTERN PetscErrorCode MatSeqSELLGetFillRatio(Mat, PetscReal *);
416 PETSC_EXTERN PetscErrorCode MatSeqSELLGetMaxSliceWidth(Mat, PetscInt *);
417 PETSC_EXTERN PetscErrorCode MatSeqSELLGetAvgSliceWidth(Mat, PetscReal *);
418 PETSC_EXTERN PetscErrorCode MatSeqSELLSetSliceHeight(Mat, PetscInt);
419 PETSC_EXTERN PetscErrorCode MatSeqSELLGetVarSliceSize(Mat, PetscReal *);
420 
421 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
422 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
423 PETSC_EXTERN PetscErrorCode MatMPISELLGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
424 PETSC_EXTERN PetscErrorCode MatMPISELLGetSeqSELL(Mat, Mat *, Mat *, const PetscInt *[]);
425 
426 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
427 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
428 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
429 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
430 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
431 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
432 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArray(Mat, const PetscScalar[]);
433 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], PetscInt[], PetscInt[], PetscScalar[], Mat *);
434 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm, Mat, Mat, const PetscInt[], Mat *);
435 
436 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
437 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
438 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
439 
440 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat, PetscCount, PetscInt[], PetscInt[]);
441 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat, PetscCount, PetscInt[], PetscInt[]);
442 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat, const PetscScalar[], InsertMode);
443 
444 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscInt[], Mat *);
445 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
446 
447 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
448 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
449 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
450 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
451 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], const PetscInt[]);
452 
453 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, void *, Mat *);
454 PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm, PetscInt, PetscInt, Mat *);
455 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat, Mat *);
456 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat, Mat *);
457 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat, Mat, Vec, Mat, Mat *);
458 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat, Mat *, Mat *, Vec *, Mat *);
459 PETSC_EXTERN PetscErrorCode MatLRCSetMats(Mat, Mat, Mat, Vec, Mat);
460 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, ISLocalToGlobalMapping, ISLocalToGlobalMapping, Mat *);
461 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
462 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
463 
464 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm, VecScatter, Mat *);
465 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat, VecScatter);
466 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat, VecScatter *);
467 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt *, Mat *);
468 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat, Mat);
469 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
470 typedef enum {
471   MAT_COMPOSITE_MERGE_RIGHT,
472   MAT_COMPOSITE_MERGE_LEFT
473 } MatCompositeMergeType;
474 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat, MatCompositeMergeType);
475 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm, PetscInt, const Mat *, Mat *);
476 typedef enum {
477   MAT_COMPOSITE_ADDITIVE,
478   MAT_COMPOSITE_MULTIPLICATIVE
479 } MatCompositeType;
480 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat, MatCompositeType);
481 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat, MatCompositeType *);
482 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat, MatStructure);
483 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat, MatStructure *);
484 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat, PetscInt *);
485 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat, PetscInt, Mat *);
486 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat, const PetscScalar *);
487 
488 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm, PetscInt, const PetscInt[], MatType, Mat *);
489 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm, PetscInt, const PetscInt[], Mat *);
490 
491 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat, Mat *);
492 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat, Mat *);
493 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat, Mat *);
494 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat, Mat *);
495 PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat, Mat *);
496 PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat, Mat *);
497 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat, IS, IS, Mat *);
498 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat, Mat, IS, IS);
499 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat, IS, IS, Mat *);
500 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar, Mat *);
501 PETSC_EXTERN PetscErrorCode MatCreateDiagonal(Vec, Mat *);
502 PETSC_EXTERN PetscErrorCode MatDiagonalGetDiagonal(Mat, Vec *);
503 PETSC_EXTERN PetscErrorCode MatDiagonalRestoreDiagonal(Mat, Vec *);
504 PETSC_EXTERN PetscErrorCode MatDiagonalGetInverseDiagonal(Mat, Vec *);
505 PETSC_EXTERN PetscErrorCode MatDiagonalRestoreInverseDiagonal(Mat, Vec *);
506 
507 #if defined(PETSC_HAVE_HYPRE)
508 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
509 #endif
510 
511 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat, const char[]);
512 PETSC_EXTERN PetscErrorCode MatPythonGetType(Mat, const char *[]);
513 
514 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
515 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
516 PETSC_EXTERN PetscErrorCode MatDestroy(Mat *);
517 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat, PetscObjectState *);
518 
519 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
520 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
521 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
522 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat, Mat *);
523 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat, PetscScalar *);
524 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat, const PetscScalar **);
525 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat, PetscInt, const PetscInt *, PetscScalar *);
526 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat, Mat);
527 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat, MatReuse, Mat *);
528 PETSC_EXTERN PetscErrorCode MatComputeVariableBlockEnvelope(Mat);
529 
530 PETSC_EXTERN PetscErrorCode MatSetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
531 PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat, IS, IS, const PetscScalar[], InsertMode);
532 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
533 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat, PetscInt, const PetscScalar[]);
534 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat, PetscInt, const PetscScalar[]);
535 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt[], const PetscScalar[]);
536 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat, PetscRandom);
537 
538 /*S
539    MatStencil - Data structure (C struct) for storing information about rows and
540    columns of a matrix as indexed on an associated grid. These are arguments to `MatSetStencil()` and `MatSetBlockStencil()`
541 
542    Level: beginner
543 
544    Notes:
545    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).
546    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.
547 
548    For stencil access to vectors see `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`.
549 
550    For staggered grids, see `DMStagStencil`
551 
552    Fortran Note:
553    See `MatSetValuesStencil()` for details.
554 
555 .seealso: [](ch_matrices), `Mat`, `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`,
556           `DMStagStencil`
557 S*/
558 typedef struct {
559   PetscInt k, j, i, c;
560 } MatStencil;
561 
562 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
563 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
564 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat, PetscInt, const PetscInt[], const PetscInt[], PetscInt);
565 
566 /*E
567     MatAssemblyType - Indicates if the process of setting values into the matrix is complete, and the matrix is ready for use
568 
569     Values:
570 +   `MAT_FLUSH_ASSEMBLY` - you will continue to put values into the matrix
571 -   `MAT_FINAL_ASSEMBLY` - you wish to use the matrix with the values currently inserted
572 
573     Level: beginner
574 
575 .seealso: [](ch_matrices), `Mat`, `MatSetValues`, `MatAssemblyBegin()`, `MatAssemblyEnd()`
576 E*/
577 typedef enum {
578   MAT_FLUSH_ASSEMBLY = 1,
579   MAT_FINAL_ASSEMBLY = 0
580 } MatAssemblyType;
581 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat, MatAssemblyType);
582 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat, MatAssemblyType);
583 PETSC_EXTERN PetscErrorCode MatAssembled(Mat, PetscBool *);
584 
585 /*E
586    MatOption - Options that may be set for a matrix that indicate properties of the matrix or affect its behavior or storage
587 
588    Level: beginner
589 
590    Note:
591    See `MatSetOption()` for the use of the options
592 
593    Developer Note:
594    Entries that are negative need not be called collectively by all processes.
595 
596 .seealso: [](ch_matrices), `Mat`, `MatSetOption()`
597 E*/
598 typedef enum {
599   MAT_OPTION_MIN                  = -3,
600   MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
601   MAT_ROW_ORIENTED                = -1,
602   MAT_SYMMETRIC                   = 1,
603   MAT_STRUCTURALLY_SYMMETRIC      = 2,
604   MAT_FORCE_DIAGONAL_ENTRIES      = 3,
605   MAT_IGNORE_OFF_PROC_ENTRIES     = 4,
606   MAT_USE_HASH_TABLE              = 5,
607   MAT_KEEP_NONZERO_PATTERN        = 6,
608   MAT_IGNORE_ZERO_ENTRIES         = 7,
609   MAT_USE_INODES                  = 8,
610   MAT_HERMITIAN                   = 9,
611   MAT_SYMMETRY_ETERNAL            = 10,
612   MAT_NEW_NONZERO_LOCATION_ERR    = 11,
613   MAT_IGNORE_LOWER_TRIANGULAR     = 12,
614   MAT_ERROR_LOWER_TRIANGULAR      = 13,
615   MAT_GETROW_UPPERTRIANGULAR      = 14,
616   MAT_SPD                         = 15,
617   MAT_NO_OFF_PROC_ZERO_ROWS       = 16,
618   MAT_NO_OFF_PROC_ENTRIES         = 17,
619   MAT_NEW_NONZERO_LOCATIONS       = 18,
620   MAT_NEW_NONZERO_ALLOCATION_ERR  = 19,
621   MAT_SUBSET_OFF_PROC_ENTRIES     = 20,
622   MAT_SUBMAT_SINGLEIS             = 21,
623   MAT_STRUCTURE_ONLY              = 22,
624   MAT_SORTED_FULL                 = 23,
625   MAT_FORM_EXPLICIT_TRANSPOSE     = 24,
626   MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
627   MAT_SPD_ETERNAL                 = 26,
628   MAT_OPTION_MAX                  = 27
629 } MatOption;
630 
631 PETSC_EXTERN const char *const *MatOptions;
632 PETSC_EXTERN PetscErrorCode     MatSetOption(Mat, MatOption, PetscBool);
633 PETSC_EXTERN PetscErrorCode     MatGetOption(Mat, MatOption, PetscBool *);
634 PETSC_EXTERN PetscErrorCode     MatPropagateSymmetryOptions(Mat, Mat);
635 PETSC_EXTERN PetscErrorCode     MatGetType(Mat, MatType *);
636 
637 PETSC_EXTERN PetscErrorCode    MatGetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
638 PETSC_EXTERN PetscErrorCode    MatGetRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
639 PETSC_EXTERN PetscErrorCode    MatRestoreRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
640 PETSC_EXTERN PetscErrorCode    MatGetRowUpperTriangular(Mat);
641 PETSC_EXTERN PetscErrorCode    MatRestoreRowUpperTriangular(Mat);
642 PETSC_EXTERN PetscErrorCode    MatGetColumnVector(Mat, Vec, PetscInt);
643 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArray(Mat, PetscScalar *[]);
644 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayRead(Mat, const PetscScalar *[]);
645 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayWrite(Mat, PetscScalar *[]);
646 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArray(Mat, PetscScalar *[]);
647 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayRead(Mat, const PetscScalar *[]);
648 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayWrite(Mat, PetscScalar *[]);
649 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetMaxRowNonzeros(Mat, PetscInt *);
650 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetValuesLocalFast(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
651 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetType(Mat, MatType);
652 PETSC_EXTERN PetscErrorCode    MatSeqAIJKron(Mat, Mat, MatReuse, Mat *);
653 PETSC_EXTERN PetscErrorCode    MatSeqAIJRegister(const char[], PetscErrorCode (*)(Mat, MatType, MatReuse, Mat *));
654 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
655 PETSC_EXTERN PetscErrorCode    MatSeqBAIJGetArray(Mat, PetscScalar *[]);
656 PETSC_EXTERN PetscErrorCode    MatSeqBAIJRestoreArray(Mat, PetscScalar *[]);
657 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJGetArray(Mat, PetscScalar *[]);
658 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJRestoreArray(Mat, PetscScalar *[]);
659 PETSC_EXTERN PetscErrorCode    MatDenseGetArray(Mat, PetscScalar *[]);
660 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArray(Mat, PetscScalar *[]);
661 PETSC_EXTERN PetscErrorCode    MatDensePlaceArray(Mat, const PetscScalar[]);
662 PETSC_EXTERN PetscErrorCode    MatDenseReplaceArray(Mat, const PetscScalar[]);
663 PETSC_EXTERN PetscErrorCode    MatDenseResetArray(Mat);
664 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayRead(Mat, const PetscScalar *[]);
665 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayRead(Mat, const PetscScalar *[]);
666 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWrite(Mat, PetscScalar *[]);
667 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWrite(Mat, PetscScalar *[]);
668 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayAndMemType(Mat, PetscScalar *[], PetscMemType *);
669 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayAndMemType(Mat, PetscScalar *[]);
670 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayReadAndMemType(Mat, const PetscScalar *[], PetscMemType *);
671 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayReadAndMemType(Mat, const PetscScalar *[]);
672 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWriteAndMemType(Mat, PetscScalar *[], PetscMemType *);
673 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWriteAndMemType(Mat, PetscScalar *[]);
674 PETSC_EXTERN PetscErrorCode    MatGetBlockSize(Mat, PetscInt *);
675 PETSC_EXTERN PetscErrorCode    MatSetBlockSize(Mat, PetscInt);
676 PETSC_EXTERN PetscErrorCode    MatGetBlockSizes(Mat, PetscInt *, PetscInt *);
677 PETSC_EXTERN PetscErrorCode    MatSetBlockSizes(Mat, PetscInt, PetscInt);
678 PETSC_EXTERN PetscErrorCode    MatSetBlockSizesFromMats(Mat, Mat, Mat);
679 PETSC_EXTERN PetscErrorCode    MatSetVariableBlockSizes(Mat, PetscInt, PetscInt *);
680 PETSC_EXTERN PetscErrorCode    MatGetVariableBlockSizes(Mat, PetscInt *, const PetscInt **);
681 
682 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat, PetscInt, PetscScalar *[]);
683 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat, PetscScalar *[]);
684 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat, PetscInt, Vec *);
685 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat, PetscInt, Vec *);
686 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat, PetscInt, Vec *);
687 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat, PetscInt, Vec *);
688 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat, PetscInt, Vec *);
689 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat, PetscInt, Vec *);
690 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
691 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat, Mat *);
692 
693 PETSC_EXTERN PetscErrorCode MatMult(Mat, Vec, Vec);
694 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat, Vec, Vec);
695 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat, Vec, Vec, Vec);
696 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat, Vec, Vec);
697 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat, Vec, Vec);
698 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat, Mat, PetscReal, PetscBool *);
699 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat, Mat, PetscReal, PetscBool *);
700 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat, Vec, Vec, Vec);
701 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat, Vec, Vec, Vec);
702 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat, Mat, Mat);
703 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat, Mat, Mat);
704 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat, Mat, Mat);
705 PETSC_EXTERN PetscErrorCode MatResidual(Mat, Vec, Vec, Vec);
706 
707 /*E
708   MatDuplicateOption - Indicates if a duplicated sparse matrix should have
709   its numerical values copied over or just its nonzero structure.
710 
711   Values:
712 + `MAT_DO_NOT_COPY_VALUES`    - Create a matrix using the same nonzero pattern as the original matrix,
713                                 with zeros for the numerical values
714 . `MAT_COPY_VALUES`           - Create a matrix with the same nonzero pattern as the original matrix
715                                 and with the same numerical values.
716 - `MAT_SHARE_NONZERO_PATTERN` - Create a matrix that shares the nonzero structure with the previous matrix
717                                 and does not copy it, using zeros for the numerical values. The parent and
718                                 child matrices will share their index (i and j) arrays, and you cannot
719                                 insert new nonzero entries into either matrix
720 
721   Level: beginner
722 
723   Note:
724   Many matrix types (including `MATSEQAIJ`) do not support the `MAT_SHARE_NONZERO_PATTERN` optimization; in
725   this case the behavior is as if `MAT_DO_NOT_COPY_VALUES` has been specified.
726 
727 .seealso: [](ch_matrices), `Mat`, `MatDuplicate()`
728 E*/
729 typedef enum {
730   MAT_DO_NOT_COPY_VALUES,
731   MAT_COPY_VALUES,
732   MAT_SHARE_NONZERO_PATTERN
733 } MatDuplicateOption;
734 
735 PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
736 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);
737 
738 PETSC_EXTERN PetscErrorCode MatCopy(Mat, Mat, MatStructure);
739 PETSC_EXTERN PetscErrorCode MatView(Mat, PetscViewer);
740 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat, PetscReal, PetscBool *);
741 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat, PetscBool *);
742 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat, PetscReal, PetscBool *);
743 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat, PetscBool *, PetscBool *);
744 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat, PetscBool *, PetscBool *);
745 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat, PetscBool *, PetscBool *);
746 PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat, PetscBool *, PetscBool *);
747 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat, PetscBool *, PetscInt *);
748 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
749 
750 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
751 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
752 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
753 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
754 
755 /*S
756    MatInfo - Context of matrix information, used with `MatGetInfo()`
757 
758    Level: intermediate
759 
760    Fortran Note:
761    Information is stored as a double-precision array of dimension `MAT_INFO_SIZE`
762 
763 .seealso: [](ch_matrices), `Mat`, `MatGetInfo()`, `MatInfoType`
764 S*/
765 typedef struct {
766   PetscLogDouble block_size;                          /* block size */
767   PetscLogDouble nz_allocated, nz_used, nz_unneeded;  /* number of nonzeros */
768   PetscLogDouble memory;                              /* memory allocated */
769   PetscLogDouble assemblies;                          /* number of matrix assemblies called */
770   PetscLogDouble mallocs;                             /* number of mallocs during MatSetValues() */
771   PetscLogDouble fill_ratio_given, fill_ratio_needed; /* fill ratio for LU/ILU */
772   PetscLogDouble factor_mallocs;                      /* number of mallocs during factorization */
773 } MatInfo;
774 
775 /*E
776     MatInfoType - Indicates if you want information about the local part of the matrix,
777     the entire parallel matrix or the maximum over all the local parts.
778 
779     Values:
780 +   `MAT_LOCAL`      - values for each MPI process part of the matrix
781 .   `MAT_GLOBAL_MAX` - maximum of each value over all MPI processes
782 -   `MAT_GLOBAL_SUM` - sum of each value over all MPI processes
783 
784     Level: beginner
785 
786 .seealso: [](ch_matrices), `MatGetInfo()`, `MatInfo`
787 E*/
788 typedef enum {
789   MAT_LOCAL      = 1,
790   MAT_GLOBAL_MAX = 2,
791   MAT_GLOBAL_SUM = 3
792 } MatInfoType;
793 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat, MatInfoType, MatInfo *);
794 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat, Vec);
795 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat, Vec, PetscInt[]);
796 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat, Vec, PetscInt[]);
797 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat, Vec, PetscInt[]);
798 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat, Vec, PetscInt[]);
799 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat, Vec);
800 PETSC_EXTERN PetscErrorCode MatTranspose(Mat, MatReuse, Mat *);
801 PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat, Mat *);
802 PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat, Mat);
803 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat, MatReuse, Mat *);
804 PETSC_EXTERN PetscErrorCode MatPermute(Mat, IS, IS, Mat *);
805 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat, Vec, Vec);
806 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat, Vec, InsertMode);
807 
808 PETSC_EXTERN PetscErrorCode MatEqual(Mat, Mat, PetscBool *);
809 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat, Mat, PetscInt, PetscBool *);
810 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat, Mat, PetscInt, PetscBool *);
811 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
812 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
813 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
814 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
815 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
816 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
817 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
818 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
819 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
820 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat, PetscInt, PetscBool *);
821 
822 PETSC_EXTERN PetscErrorCode MatNorm(Mat, NormType, PetscReal *);
823 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat, NormType, PetscReal *);
824 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat, PetscScalar *);
825 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat, PetscReal *);
826 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat, PetscReal *);
827 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat, PetscScalar *);
828 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat, PetscReal *);
829 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat, PetscReal *);
830 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat, PetscInt, PetscReal *);
831 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
832 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
833 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
834 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat, IS, PetscScalar, Vec, Vec);
835 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
836 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
837 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
838 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat, IS, PetscScalar, Vec, Vec);
839 
840 PETSC_EXTERN PetscErrorCode MatGetSize(Mat, PetscInt *, PetscInt *);
841 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat, PetscInt *, PetscInt *);
842 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat, PetscInt *, PetscInt *);
843 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat, const PetscInt **);
844 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat, PetscInt *, PetscInt *);
845 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat, const PetscInt **);
846 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat, IS *, IS *);
847 
848 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
849 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[])
850 {
851   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
852 }
853 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
854 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[])
855 {
856   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
857 }
858 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
859 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
860 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
861 PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatrix()", ) static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat)
862 {
863   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
864 }
865 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
866 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
867 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
868 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);
869 
870 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm, Mat, PetscInt, PetscInt, MatReuse, Mat *);
871 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm, Mat, PetscInt, PetscInt, Mat *);
872 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat, Mat);
873 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat, MatReuse, Mat *);
874 PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat, Mat *);
875 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
876 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat, MatReuse, IS *, Mat *);
877 PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat, PetscCount *);
878 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat, Mat, MatReuse, IS *, IS *, Mat *);
879 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *, const PetscInt *[]);
880 
881 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
882 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat, PetscInt n, IS is[], PetscInt ov);
883 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);
884 
885 PETSC_EXTERN PetscErrorCode MatMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
886 
887 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
888 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
889 
890 PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
891 PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);
892 
893 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
894 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);
895 
896 PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
897 PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);
898 
899 PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
900 PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);
901 
902 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping, ISLocalToGlobalMapping);
903 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
904 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat, PetscLayout *, PetscLayout *);
905 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat, PetscLayout, PetscLayout);
906 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
907 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
908 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
909 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
910 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
911 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
912 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
913 
914 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
915 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);
916 
917 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat, Vec, Vec);
918 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat, Vec, Vec, Vec);
919 PETSC_EXTERN PetscErrorCode MatRestrict(Mat, Vec, Vec);
920 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat, Mat, Mat *);
921 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat, Mat, Mat, Mat *);
922 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat, Mat, Mat *);
923 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat, Vec *, Vec *);
924 PETSC_DEPRECATED_FUNCTION(3, 6, 0, "MatCreateVecs()", ) static inline PetscErrorCode MatGetVecs(Mat mat, Vec *x, Vec *y)
925 {
926   return MatCreateVecs(mat, x, y);
927 }
928 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat, PetscInt, MPI_Comm, MatReuse, Mat *);
929 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat, MPI_Comm, MatReuse, Mat *);
930 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat, IS *);
931 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat, IS *);
932 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm, Mat, PetscInt, MatReuse, Mat *);
933 
934 /*@C
935    MatSetValue - Set a single entry into a matrix.
936 
937    Not Collective
938 
939    Input Parameters:
940 +  mat  - the matrix
941 .  i    - the row location of the entry
942 .  j    - the column location of the entry
943 .  va   - the value to insert
944 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
945 
946    Level: beginner
947 
948    Notes:
949    This value may be cached, so `MatAssemblyBegin()` and `MatAssemblyEnd()`
950    MUST be called after all calls to `MatSetValue()` have been completed.
951 
952    For efficiency one should use `MatSetValues()` and set several values simultaneously.
953 
954 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `InsertMode`, `MatGetValue()`, `MatSetValues()`,
955           `MatSetValueLocal()`, `MatSetValuesLocal()`
956 @*/
957 static inline PetscErrorCode MatSetValue(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
958 {
959   return MatSetValues(mat, 1, &i, 1, &j, &va, mode);
960 }
961 
962 /*@C
963    MatGetValue - Gets a single value from a matrix
964 
965    Not Collective; can only return a value owned by the given process
966 
967    Input Parameters:
968 +  mat - the matrix
969 .  row - the row location of the entry
970 -  col - the column location of the entry
971 
972    Output Parameter:
973 .  va - the value
974 
975    Level: advanced
976 
977    Notes:
978    The matrix must have been assembled with `MatAssemblyBegin()` and `MatAssemblyEnd()` before this call
979 
980    For efficiency one should use `MatGetValues()` and get several values simultaneously.
981 
982    See notes for `MatGetValues()`.
983 
984 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
985 @*/
986 static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
987 {
988   return MatGetValues(mat, 1, &row, 1, &col, va);
989 }
990 
991 /*@C
992    MatSetValueLocal - Inserts or adds a single value into a matrix, using a local numbering of the nodes.
993 
994    Not Collective
995 
996    Input Parameters:
997 +  mat  - the matrix
998 .  i    - the row location of the entry
999 .  j    - the column location of the entry
1000 .  va   - the value to insert
1001 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
1002 
1003    Level: intermediate
1004 
1005    Notes:
1006    For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.
1007 
1008    See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.
1009 
1010 .seealso: [](ch_matrices), `MatSetValue()`, `MatSetValuesLocal()`
1011 @*/
1012 static inline PetscErrorCode MatSetValueLocal(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
1013 {
1014   return MatSetValuesLocal(mat, 1, &i, 1, &j, &va, mode);
1015 }
1016 
1017 /*MC
1018    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
1019    row in a matrix providing the data that one can use to correctly preallocate the matrix.
1020 
1021    Synopsis:
1022    #include <petscmat.h>
1023    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
1024 
1025    Collective
1026 
1027    Input Parameters:
1028 +  comm  - the communicator that will share the eventually allocated matrix
1029 .  nrows - the number of LOCAL rows in the matrix
1030 -  ncols - the number of LOCAL columns in the matrix
1031 
1032    Output Parameters:
1033 +  dnz - the array that will be passed to the matrix preallocation routines
1034 -  onz - the other array passed to the matrix preallocation routines
1035 
1036    Level: deprecated (since v3.19)
1037 
1038    Notes:
1039    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1040    the use of this routine
1041 
1042    This is a macro that handles its own error checking, it does not return an error code.
1043 
1044    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1045 
1046    Developer Note:
1047    This is a MACRO, not a function, because it has a leading { that is closed by `PetscPreallocateFinalize()`.
1048 
1049 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1050           `MatPreallocateSymmetricSetLocalBlock()`
1051 M*/
1052 #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
1053   do { \
1054     PetscInt              __nrows = (nrows), __ncols = (ncols), __rstart, __end = 0; \
1055     PetscInt PETSC_UNUSED __start; \
1056     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
1057     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
1058     __start = __end - __ncols; \
1059     (void)__start; \
1060     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
1061   __rstart -= __nrows
1062 
1063 #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateBegin()", ) MatPreallocateBegin(__VA_ARGS__)
1064 
1065 /*MC
1066    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1067    inserted using a local number of the rows and columns
1068 
1069    Synopsis:
1070    #include <petscmat.h>
1071    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1072 
1073    Not Collective
1074 
1075    Input Parameters:
1076 +  map   - the row mapping from local numbering to global numbering
1077 .  nrows - the number of rows indicated
1078 .  rows  - the indices of the rows
1079 .  cmap  - the column mapping from local to global numbering
1080 .  ncols - the number of columns in the matrix
1081 .  cols  - the columns indicated
1082 .  dnz   - the array that will be passed to the matrix preallocation routines
1083 -  onz   - the other array passed to the matrix preallocation routines
1084 
1085    Level: deprecated (since v3.19)
1086 
1087    Notes:
1088    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1089    the use of this routine
1090 
1091    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1092 
1093 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1094           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
1095 M*/
1096 #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1097   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));)
1098 
1099 /*MC
1100    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1101    inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
1102 
1103    Synopsis:
1104    #include <petscmat.h>
1105    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1106 
1107    Not Collective
1108 
1109    Input Parameters:
1110 +  map   - the row mapping from local numbering to global numbering
1111 .  nrows - the number of rows indicated
1112 .  rows  - the indices of the rows (these values are mapped to the global values)
1113 .  cmap  - the column mapping from local to global numbering
1114 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1115 .  cols  - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1116 .  dnz   - the array that will be passed to the matrix preallocation routines
1117 -  onz   - the other array passed to the matrix preallocation routines
1118 
1119    Level: deprecated (since v3.19)
1120 
1121    Notes:
1122    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1123    the use of this routine
1124 
1125    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1126 
1127 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1128           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1129 M*/
1130 #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1131   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));)
1132 
1133 /*MC
1134    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1135    inserted using a local number of the rows and columns
1136 
1137    Synopsis:
1138    #include <petscmat.h>
1139    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1140 
1141    Not Collective
1142 
1143    Input Parameters:
1144 +  map   - the row mapping from local numbering to global numbering
1145 .  nrows - the number of rows indicated
1146 .  rows  - the indices of the rows
1147 .  cmap  - the column mapping from local to global numbering
1148 .  ncols - the number of columns in the matrix
1149 .  cols  - the columns indicated
1150 .  dnz   - the array that will be passed to the matrix preallocation routines
1151 -  onz   - the other array passed to the matrix preallocation routines
1152 
1153    Level: deprecated (since v3.19)
1154 
1155    Notes:
1156    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1157    the use of this routine
1158 
1159    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1160 
1161 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1162           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1163 M*/
1164 #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1165   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));)
1166 
1167 /*MC
1168    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1169    inserted using a local number of the rows and columns
1170 
1171    Synopsis:
1172    #include <petscmat.h>
1173    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1174 
1175    Not Collective
1176 
1177    Input Parameters:
1178 +  map   - the mapping between local numbering and global numbering
1179 .  nrows - the number of rows indicated
1180 .  rows  - the indices of the rows
1181 .  ncols - the number of columns in the matrix
1182 .  cols  - the columns indicated
1183 .  dnz   - the array that will be passed to the matrix preallocation routines
1184 -  onz   - the other array passed to the matrix preallocation routines
1185 
1186    Level: deprecated (since v3.19)
1187 
1188    Notes:
1189    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1190    the use of this routine
1191 
1192    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1193 
1194 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`
1195           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1196 M*/
1197 #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1198   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));)
1199 
1200 /*MC
1201    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1202    inserted using a local number of the rows and columns
1203 
1204    Synopsis:
1205    #include <petscmat.h>
1206    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1207 
1208    Not Collective
1209 
1210    Input Parameters:
1211 +  row   - the row
1212 .  ncols - the number of columns in the matrix
1213 -  cols  - the columns indicated
1214 
1215    Output Parameters:
1216 +  dnz - the array that will be passed to the matrix preallocation routines
1217 -  onz - the other array passed to the matrix preallocation routines
1218 
1219    Level: deprecated (since v3.19)
1220 
1221    Notes:
1222    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1223    the use of this routine
1224 
1225    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1226 
1227    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().
1228 
1229 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1230           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1231 M*/
1232 #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1233   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) { \
1234     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1235     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1236   })
1237 
1238 /*MC
1239    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1240    inserted using a local number of the rows and columns
1241 
1242    Synopsis:
1243    #include <petscmat.h>
1244    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1245 
1246    Not Collective
1247 
1248    Input Parameters:
1249 +  nrows - the number of rows indicated
1250 .  rows  - the indices of the rows
1251 .  ncols - the number of columns in the matrix
1252 .  cols  - the columns indicated
1253 .  dnz   - the array that will be passed to the matrix preallocation routines
1254 -  onz   - the other array passed to the matrix preallocation routines
1255 
1256    Level: deprecated (since v3.19)
1257 
1258    Notes:
1259    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1260    the use of this routine
1261 
1262    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1263 
1264    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().
1265 
1266 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1267           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1268 M*/
1269 #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1270   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
1271     if (cols[__i] >= __end) onz[row - __rstart]++; \
1272     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1273   })
1274 
1275 /*MC
1276    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1277 
1278    Synopsis:
1279    #include <petscmat.h>
1280    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1281 
1282    Not Collective
1283 
1284    Input Parameters:
1285 +  A     - matrix
1286 .  row   - row where values exist (must be local to this process)
1287 .  ncols - number of columns
1288 .  cols  - columns with nonzeros
1289 .  dnz   - the array that will be passed to the matrix preallocation routines
1290 -  onz   - the other array passed to the matrix preallocation routines
1291 
1292    Level: deprecated (since v3.19)
1293 
1294    Notes:
1295    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1296    the use of this routine
1297 
1298    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1299 
1300    Developer Note:
1301    This is a MACRO, not a function, because it uses a bunch of variables private to the MatPreallocation.... routines.
1302 
1303 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1304           `MatPreallocateSymmetricSetLocalBlock()`
1305 M*/
1306 #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))
1307 
1308 /*MC
1309    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1310    row in a matrix providing the data that one can use to correctly preallocate the matrix.
1311 
1312    Synopsis:
1313    #include <petscmat.h>
1314    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)
1315 
1316    Collective
1317 
1318    Input Parameters:
1319 +  dnz - the array that was be passed to the matrix preallocation routines
1320 -  onz - the other array passed to the matrix preallocation routines
1321 
1322    Level: deprecated (since v3.19)
1323 
1324    Notes:
1325    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1326    the use of this routine
1327 
1328    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1329 
1330    Developer Note:
1331    This is a MACRO, not a function, because it closes the { started in MatPreallocateBegin().
1332 
1333 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1334           `MatPreallocateSymmetricSetLocalBlock()`
1335 M*/
1336 #define MatPreallocateEnd(dnz, onz) \
1337   PetscCall(PetscFree2(dnz, onz)); \
1338   } \
1339   while (0)
1340 
1341 #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateEnd()", ) MatPreallocateEnd(__VA_ARGS__)
1342 
1343 /* Routines unique to particular data structures */
1344 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, void *);
1345 
1346 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1347 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);
1348 
1349 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1350 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1351 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1352 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1353 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1354 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscInt, PetscBool);
1355 
1356 #define MAT_SKIP_ALLOCATION -4
1357 
1358 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1359 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1360 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1361 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);
1362 
1363 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1364 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1365 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1366 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1367 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1368 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1369 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1370 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1371 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1372 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1373 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1374 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1375 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1376 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1377 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);
1378 
1379 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1380 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1381 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatDenseSetLDA()", ) static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
1382 {
1383   return MatDenseSetLDA(A, lda);
1384 }
1385 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);
1386 
1387 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1388 
1389 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1390 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1391 
1392 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1393 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1394 /*
1395   These routines are not usually accessed directly, rather solving is
1396   done through the KSP and PC interfaces.
1397 */
1398 
1399 /*J
1400    MatOrderingType - String with the name of a PETSc matrix ordering. These orderings are most commonly used
1401    to reduce fill in sparse factorizations.
1402 
1403    Level: beginner
1404 
1405    Notes:
1406    If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and instead the external factorization solver package called utilizes one
1407    of its own.
1408 
1409    There is no `MatOrdering` object, the ordering is obtained directly from the matrix with `MatGetOrdering()`
1410 
1411    Developer Note:
1412    This API should be converted to an API similar to those for `MatColoring` and `MatPartitioning`
1413 
1414 .seealso: [](ch_matrices), [](sec_graph), `MatGetFactor()`, `MatGetOrdering()`, `MatColoringType`, `MatPartitioningType`, `MatCoarsenType`, `MatCoarsenType`,
1415           `PCFactorSetOrderingType()`
1416 J*/
1417 typedef const char *MatOrderingType;
1418 #define MATORDERINGNATURAL       "natural"
1419 #define MATORDERINGND            "nd"
1420 #define MATORDERING1WD           "1wd"
1421 #define MATORDERINGRCM           "rcm"
1422 #define MATORDERINGQMD           "qmd"
1423 #define MATORDERINGROWLENGTH     "rowlength"
1424 #define MATORDERINGWBM           "wbm"
1425 #define MATORDERINGSPECTRAL      "spectral"
1426 #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1427 #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1428 #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 */
1429 #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */
1430 
1431 PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1432 PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1433 PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1434 PETSC_EXTERN PetscFunctionList MatOrderingList;
1435 
1436 #include "petscmatcoarsen.h"
1437 
1438 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1439 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);
1440 
1441 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);
1442 
1443 /*S
1444    MatFactorShiftType - Type of numeric shift used for factorizations
1445 
1446    Values:
1447 +  `MAT_SHIFT_NONE`              - do not shift the matrix diagonal entries
1448 .  `MAT_SHIFT_NONZERO`           - shift the entries to be non-zero
1449 .  `MAT_SHIFT_POSITIVE_DEFINITE` - shift the entries to force the factorization to be positive definite
1450 -  `MAT_SHIFT_INBLOCKS`          - only shift the factors inside the small dense diagonal blocks of the matrix, for example with `MATBAIJ`
1451 
1452    Level: intermediate
1453 
1454 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `PCFactorSetShiftType()`
1455 S*/
1456 typedef enum {
1457   MAT_SHIFT_NONE,
1458   MAT_SHIFT_NONZERO,
1459   MAT_SHIFT_POSITIVE_DEFINITE,
1460   MAT_SHIFT_INBLOCKS
1461 } MatFactorShiftType;
1462 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1463 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1464 
1465 /*S
1466     MatFactorError - indicates what type of error was generated in a matrix factorization
1467 
1468     Values:
1469 +   `MAT_FACTOR_NOERROR`           - there was no error during the factorization
1470 .   `MAT_FACTOR_STRUCT_ZEROPIVOT`  - there was a missing entry in a diagonal location of the matrix
1471 .   `MAT_FACTOR_NUMERIC_ZEROPIVOT` - there was a (near) zero pivot during the factorization
1472 .   `MAT_FACTOR_OUTMEMORY`         - the factorization has run out of memory
1473 -   `MAT_FACTOR_OTHER`             - some other error has occurred.
1474 
1475     Level: intermediate
1476 
1477     Note:
1478     When a factorization is done in a preconditioner `PC` the error may be propagated up to a `PCFailedReason` or a `KSPConvergedReason`
1479 
1480 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `MatFactorGetError()`, `MatFactorGetErrorZeroPivot()`, `MatFactorClearError()`,
1481           `PCFailedReason`, `PCGetFailedReason()`, `KSPConvergedReason`
1482 S*/
1483 typedef enum {
1484   MAT_FACTOR_NOERROR,
1485   MAT_FACTOR_STRUCT_ZEROPIVOT,
1486   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1487   MAT_FACTOR_OUTMEMORY,
1488   MAT_FACTOR_OTHER
1489 } MatFactorError;
1490 
1491 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1492 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1493 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);
1494 
1495 /*S
1496    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1497 
1498    Level: developer
1499 
1500    Note:
1501    You can use `MatFactorInfoInitialize()` to set default values.
1502 
1503    Fortran Note:
1504    The data is available in a double precision arrays of size `MAT_FACTORINFO_SIZE`
1505 
1506 .seealso: [](ch_matrices), `Mat`, `MatInfo`, `MatGetFactor()`, `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`,
1507           `MatICCFactorSymbolic()`, `MatICCFactor()`, `MatFactorInfoInitialize()`
1508 S*/
1509 typedef struct {
1510   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1511   PetscReal usedt;
1512   PetscReal dt;            /* drop tolerance */
1513   PetscReal dtcol;         /* tolerance for pivoting */
1514   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1515   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1516   PetscReal levels;        /* ICC/ILU(levels) */
1517   PetscReal pivotinblocks; /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1518                                    factorization may be faster if do not pivot */
1519   PetscReal zeropivot;     /* pivot is called zero if less than this */
1520   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1521   PetscReal shiftamount;   /* how large the shift is */
1522 } MatFactorInfo;
1523 
1524 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1525 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1526 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1527 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1528 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1529 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1530 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1531 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1532 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1533 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1534 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1535 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1536 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1537 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1538 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1539 PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1540 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1541 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1542 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1543 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1544 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1545 PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1546 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1547 
1548 typedef enum {
1549   MAT_FACTOR_SCHUR_UNFACTORED,
1550   MAT_FACTOR_SCHUR_FACTORED,
1551   MAT_FACTOR_SCHUR_INVERTED
1552 } MatFactorSchurStatus;
1553 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1554 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1555 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1556 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1557 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1558 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1559 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1560 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1561 
1562 PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1563 /*E
1564    MatSORType - What type of (S)SOR to perform
1565 
1566    Values:
1567 +  `SOR_FORWARD_SWEEP`         - do a sweep from the first row of the matrix to the last
1568 .  `SOR_BACKWARD_SWEEP`        - do a sweep from the last row to the first
1569 .  `SOR_SYMMETRIC_SWEEP`       - do a sweep from the first row to the last and then back to the first
1570 .  `SOR_LOCAL_FORWARD_SWEEP`   - each MPI process does its own forward sweep with no communication
1571 .  `SOR_LOCAL_BACKWARD_SWEEP`  - each MPI process does its own backward sweep with no communication
1572 .  `SOR_LOCAL_SYMMETRIC_SWEEP` - each MPI process does its own symmetric sweep with no communication
1573 .  `SOR_ZERO_INITIAL_GUESS`    - indicates the initial solution is zero so the sweep can avoid unneeded computation
1574 .  `SOR_EISENSTAT`             - apply the Eisentat application of SOR, see `PCEISENSTAT`
1575 .  `SOR_APPLY_UPPER`           - multiply by the upper triangular portion of the matrix
1576 -  `SOR_APPLY_LOWER`           - multiply by the lower triangular portion of the matrix
1577 
1578    Level: beginner
1579 
1580    Note:
1581    These may be bitwise ORd together
1582 
1583    Developer Note:
1584    Since `MatSORType` may be bitwise ORd together, so do not change the numerical values below
1585 
1586 .seealso: [](ch_matrices), `MatSOR()`
1587 E*/
1588 typedef enum {
1589   SOR_FORWARD_SWEEP         = 1,
1590   SOR_BACKWARD_SWEEP        = 2,
1591   SOR_SYMMETRIC_SWEEP       = 3,
1592   SOR_LOCAL_FORWARD_SWEEP   = 4,
1593   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1594   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1595   SOR_ZERO_INITIAL_GUESS    = 16,
1596   SOR_EISENSTAT             = 32,
1597   SOR_APPLY_UPPER           = 64,
1598   SOR_APPLY_LOWER           = 128
1599 } MatSORType;
1600 PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);
1601 
1602 /*S
1603    MatColoring - Object for managing the coloring of matrices.
1604 
1605    Level: beginner
1606 
1607    Notes:
1608    Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1609    matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).
1610 
1611    Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1612    same object can also be used to efficiently convert data created by Automatic Differentiation tools to PETSc sparse matrices.
1613 
1614 .seealso: [](ch_matrices), [](sec_graph), `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`,
1615           `MatPartitioning`, `MatColoringType`, `MatPartitioningType`, `MatOrderingType`, `MatColoringSetWeightType()`,
1616           `MatColoringSetWeights()`, `MatCoarsenType`, `MatCoarsen`
1617 S*/
1618 typedef struct _p_MatColoring *MatColoring;
1619 
1620 /*J
1621    MatColoringType - String with the name of a PETSc matrix coloring
1622 
1623    Level: beginner
1624 
1625 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatFDColoringCreate()`, `MatColoringSetType()`, `MatColoring`
1626 J*/
1627 typedef const char *MatColoringType;
1628 #define MATCOLORINGJP      "jp"
1629 #define MATCOLORINGPOWER   "power"
1630 #define MATCOLORINGNATURAL "natural"
1631 #define MATCOLORINGSL      "sl"
1632 #define MATCOLORINGLF      "lf"
1633 #define MATCOLORINGID      "id"
1634 #define MATCOLORINGGREEDY  "greedy"
1635 
1636 /*E
1637    MatColoringWeightType - Type of weight scheme used for the coloring algorithm
1638 
1639    Values:
1640 +  `MAT_COLORING_RANDOM`  - Random weights
1641 .  `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1642 -  `MAT_COLORING_LF`      - Last-first weighting.
1643 
1644     Level: intermediate
1645 
1646 .seealso: [](ch_matrices), `MatColoring`, `MatColoringCreate()`, `MatColoringSetWeightType()`, `MatColoringSetWeights()`
1647 E*/
1648 typedef enum {
1649   MAT_COLORING_WEIGHT_RANDOM,
1650   MAT_COLORING_WEIGHT_LEXICAL,
1651   MAT_COLORING_WEIGHT_LF,
1652   MAT_COLORING_WEIGHT_SL
1653 } MatColoringWeightType;
1654 
1655 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1656 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1657 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1658 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1659 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1660 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1661 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1662 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1663 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1664 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1665 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1666 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1667 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1668 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1669 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1670 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1671 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1672 PETSC_DEPRECATED_FUNCTION(3, 10, 0, "MatColoringTest()", ) static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
1673 {
1674   return MatColoringTest(matcoloring, iscoloring);
1675 }
1676 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);
1677 
1678 /*S
1679    MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring
1680 
1681    Level: beginner
1682 
1683    Notes:
1684    This object is creating utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`
1685 
1686    The `SNES` option `-snes_fd_coloring` will cause the Jacobian needed by `SNES` to be computed via a use of this object
1687 
1688 .seealso: [](ch_matrices), `Mat`, `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1689 S*/
1690 typedef struct _p_MatFDColoring *MatFDColoring;
1691 
1692 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1693 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1694 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1695 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, PetscErrorCode (*)(void), void *);
1696 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, PetscErrorCode (**)(void), void **);
1697 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1698 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1699 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1700 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1701 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1702 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1703 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1704 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);
1705 
1706 /*S
1707    MatTransposeColoring - Object for computing a sparse matrix product $C = A*B^T$ via coloring
1708 
1709    Level: developer
1710 
1711 .seealso: [](ch_matrices), `Mat`, `MatProductType`, `MatTransposeColoringCreate()`
1712 S*/
1713 typedef struct _p_MatTransposeColoring *MatTransposeColoring;
1714 
1715 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1716 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1717 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1718 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);
1719 
1720 /*S
1721    MatPartitioning - Object for managing the partitioning of a matrix or graph
1722 
1723    Level: beginner
1724 
1725    Note:
1726    There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1727    via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)
1728 
1729    Developer Note:
1730    It is an extra maintenance and documentation cost to have two objects with the same functionality. `PetscPartitioner` should be removed
1731 
1732 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`, `MatOrderingType`,
1733           `MatCoarsenType`, `MatCoarsenType`
1734 S*/
1735 typedef struct _p_MatPartitioning *MatPartitioning;
1736 
1737 /*J
1738     MatPartitioningType - String with the name of a PETSc matrix partitioning
1739 
1740    Level: beginner
1741 dm
1742 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`, `MatColoringType`, `MatOrderingType`,
1743           `MatCoarsenType`, `MatCoarsenType`
1744 J*/
1745 typedef const char *MatPartitioningType;
1746 #define MATPARTITIONINGCURRENT  "current"
1747 #define MATPARTITIONINGAVERAGE  "average"
1748 #define MATPARTITIONINGSQUARE   "square"
1749 #define MATPARTITIONINGPARMETIS "parmetis"
1750 #define MATPARTITIONINGCHACO    "chaco"
1751 #define MATPARTITIONINGPARTY    "party"
1752 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1753 #define MATPARTITIONINGHIERARCH "hierarch"
1754 
1755 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1756 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1757 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1758 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1759 PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1760 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1761 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1762 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1763 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1764 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1765 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1766 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1767 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1768 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1769 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1770 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1771 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1772 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1773 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);
1774 
1775 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1776 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1777 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1778 
1779 typedef enum {
1780   MP_CHACO_MULTILEVEL = 1,
1781   MP_CHACO_SPECTRAL   = 2,
1782   MP_CHACO_LINEAR     = 4,
1783   MP_CHACO_RANDOM     = 5,
1784   MP_CHACO_SCATTERED  = 6
1785 } MPChacoGlobalType;
1786 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1787 typedef enum {
1788   MP_CHACO_KERNIGHAN = 1,
1789   MP_CHACO_NONE      = 2
1790 } MPChacoLocalType;
1791 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1792 typedef enum {
1793   MP_CHACO_LANCZOS = 0,
1794   MP_CHACO_RQI     = 1
1795 } MPChacoEigenType;
1796 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1797 
1798 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1799 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1800 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1801 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1802 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1803 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1804 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1805 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1806 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1807 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1808 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);
1809 
1810 #define MP_PARTY_OPT "opt"
1811 #define MP_PARTY_LIN "lin"
1812 #define MP_PARTY_SCA "sca"
1813 #define MP_PARTY_RAN "ran"
1814 #define MP_PARTY_GBF "gbf"
1815 #define MP_PARTY_GCF "gcf"
1816 #define MP_PARTY_BUB "bub"
1817 #define MP_PARTY_DEF "def"
1818 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1819 #define MP_PARTY_HELPFUL_SETS  "hs"
1820 #define MP_PARTY_KERNIGHAN_LIN "kl"
1821 #define MP_PARTY_NONE          "no"
1822 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1823 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1824 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1825 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);
1826 
1827 typedef enum {
1828   MP_PTSCOTCH_DEFAULT,
1829   MP_PTSCOTCH_QUALITY,
1830   MP_PTSCOTCH_SPEED,
1831   MP_PTSCOTCH_BALANCE,
1832   MP_PTSCOTCH_SAFETY,
1833   MP_PTSCOTCH_SCALABILITY
1834 } MPPTScotchStrategyType;
1835 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1836 
1837 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1838 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1839 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1840 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);
1841 
1842 /*
1843  * hierarchical partitioning
1844  */
1845 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1846 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1847 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1848 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1849 
1850 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);
1851 
1852 /*
1853     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1854     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1855 */
1856 typedef enum {
1857   MATOP_SET_VALUES               = 0,
1858   MATOP_GET_ROW                  = 1,
1859   MATOP_RESTORE_ROW              = 2,
1860   MATOP_MULT                     = 3,
1861   MATOP_MULT_ADD                 = 4,
1862   MATOP_MULT_TRANSPOSE           = 5,
1863   MATOP_MULT_TRANSPOSE_ADD       = 6,
1864   MATOP_SOLVE                    = 7,
1865   MATOP_SOLVE_ADD                = 8,
1866   MATOP_SOLVE_TRANSPOSE          = 9,
1867   MATOP_SOLVE_TRANSPOSE_ADD      = 10,
1868   MATOP_LUFACTOR                 = 11,
1869   MATOP_CHOLESKYFACTOR           = 12,
1870   MATOP_SOR                      = 13,
1871   MATOP_TRANSPOSE                = 14,
1872   MATOP_GETINFO                  = 15,
1873   MATOP_EQUAL                    = 16,
1874   MATOP_GET_DIAGONAL             = 17,
1875   MATOP_DIAGONAL_SCALE           = 18,
1876   MATOP_NORM                     = 19,
1877   MATOP_ASSEMBLY_BEGIN           = 20,
1878   MATOP_ASSEMBLY_END             = 21,
1879   MATOP_SET_OPTION               = 22,
1880   MATOP_ZERO_ENTRIES             = 23,
1881   MATOP_ZERO_ROWS                = 24,
1882   MATOP_LUFACTOR_SYMBOLIC        = 25,
1883   MATOP_LUFACTOR_NUMERIC         = 26,
1884   MATOP_CHOLESKY_FACTOR_SYMBOLIC = 27,
1885   MATOP_CHOLESKY_FACTOR_NUMERIC  = 28,
1886   MATOP_SETUP                    = 29,
1887   MATOP_ILUFACTOR_SYMBOLIC       = 30,
1888   MATOP_ICCFACTOR_SYMBOLIC       = 31,
1889   MATOP_GET_DIAGONAL_BLOCK       = 32,
1890   MATOP_SET_INF                  = 33,
1891   MATOP_DUPLICATE                = 34,
1892   MATOP_FORWARD_SOLVE            = 35,
1893   MATOP_BACKWARD_SOLVE           = 36,
1894   MATOP_ILUFACTOR                = 37,
1895   MATOP_ICCFACTOR                = 38,
1896   MATOP_AXPY                     = 39,
1897   MATOP_CREATE_SUBMATRICES       = 40,
1898   MATOP_INCREASE_OVERLAP         = 41,
1899   MATOP_GET_VALUES               = 42,
1900   MATOP_COPY                     = 43,
1901   MATOP_GET_ROW_MAX              = 44,
1902   MATOP_SCALE                    = 45,
1903   MATOP_SHIFT                    = 46,
1904   MATOP_DIAGONAL_SET             = 47,
1905   MATOP_ZERO_ROWS_COLUMNS        = 48,
1906   MATOP_SET_RANDOM               = 49,
1907   MATOP_GET_ROW_IJ               = 50,
1908   MATOP_RESTORE_ROW_IJ           = 51,
1909   MATOP_GET_COLUMN_IJ            = 52,
1910   MATOP_RESTORE_COLUMN_IJ        = 53,
1911   MATOP_FDCOLORING_CREATE        = 54,
1912   MATOP_COLORING_PATCH           = 55,
1913   MATOP_SET_UNFACTORED           = 56,
1914   MATOP_PERMUTE                  = 57,
1915   MATOP_SET_VALUES_BLOCKED       = 58,
1916   MATOP_CREATE_SUBMATRIX         = 59,
1917   MATOP_DESTROY                  = 60,
1918   MATOP_VIEW                     = 61,
1919   MATOP_CONVERT_FROM             = 62,
1920   /* MATOP_PLACEHOLDER_63=63 */
1921   MATOP_MATMAT_MULT_SYMBOLIC    = 64,
1922   MATOP_MATMAT_MULT_NUMERIC     = 65,
1923   MATOP_SET_LOCAL_TO_GLOBAL_MAP = 66,
1924   MATOP_SET_VALUES_LOCAL        = 67,
1925   MATOP_ZERO_ROWS_LOCAL         = 68,
1926   MATOP_GET_ROW_MAX_ABS         = 69,
1927   MATOP_GET_ROW_MIN_ABS         = 70,
1928   MATOP_CONVERT                 = 71,
1929   MATOP_HAS_OPERATION           = 72,
1930   /* MATOP_PLACEHOLDER_73=73, */
1931   MATOP_SET_VALUES_ADIFOR = 74,
1932   MATOP_FD_COLORING_APPLY = 75,
1933   MATOP_SET_FROM_OPTIONS  = 76,
1934   /* MATOP_PLACEHOLDER_77=77, */
1935   /* MATOP_PLACEHOLDER_78=78, */
1936   MATOP_FIND_ZERO_DIAGONALS       = 79,
1937   MATOP_MULT_MULTIPLE             = 80,
1938   MATOP_SOLVE_MULTIPLE            = 81,
1939   MATOP_GET_INERTIA               = 82,
1940   MATOP_LOAD                      = 83,
1941   MATOP_IS_SYMMETRIC              = 84,
1942   MATOP_IS_HERMITIAN              = 85,
1943   MATOP_IS_STRUCTURALLY_SYMMETRIC = 86,
1944   MATOP_SET_VALUES_BLOCKEDLOCAL   = 87,
1945   MATOP_CREATE_VECS               = 88,
1946   /* MATOP_PLACEHOLDER_89=89, */
1947   MATOP_MAT_MULT_SYMBOLIC = 90,
1948   MATOP_MAT_MULT_NUMERIC  = 91,
1949   /* MATOP_PLACEHOLDER_92=92, */
1950   MATOP_PTAP_SYMBOLIC = 93,
1951   MATOP_PTAP_NUMERIC  = 94,
1952   /* MATOP_PLACEHOLDER_95=95, */
1953   MATOP_MAT_TRANSPOSE_MULT_SYMBO = 96,
1954   MATOP_MAT_TRANSPOSE_MULT_NUMER = 97,
1955   MATOP_BIND_TO_CPU              = 98,
1956   MATOP_PRODUCTSETFROMOPTIONS    = 99,
1957   MATOP_PRODUCTSYMBOLIC          = 100,
1958   MATOP_PRODUCTNUMERIC           = 101,
1959   MATOP_CONJUGATE                = 102,
1960   MATOP_VIEW_NATIVE              = 103,
1961   MATOP_SET_VALUES_ROW           = 104,
1962   MATOP_REAL_PART                = 105,
1963   MATOP_IMAGINARY_PART           = 106,
1964   MATOP_GET_ROW_UPPER_TRIANGULAR = 107,
1965   MATOP_RESTORE_ROW_UPPER_TRIANG = 108,
1966   MATOP_MAT_SOLVE                = 109,
1967   MATOP_MAT_SOLVE_TRANSPOSE      = 110,
1968   MATOP_GET_ROW_MIN              = 111,
1969   MATOP_GET_COLUMN_VECTOR        = 112,
1970   MATOP_MISSING_DIAGONAL         = 113,
1971   MATOP_GET_SEQ_NONZERO_STRUCTUR = 114,
1972   MATOP_CREATE                   = 115,
1973   MATOP_GET_GHOSTS               = 116,
1974   MATOP_GET_LOCAL_SUB_MATRIX     = 117,
1975   MATOP_RESTORE_LOCALSUB_MATRIX  = 118,
1976   MATOP_MULT_DIAGONAL_BLOCK      = 119,
1977   MATOP_HERMITIAN_TRANSPOSE      = 120,
1978   MATOP_MULT_HERMITIAN_TRANSPOSE = 121,
1979   MATOP_MULT_HERMITIAN_TRANS_ADD = 122,
1980   MATOP_GET_MULTI_PROC_BLOCK     = 123,
1981   MATOP_FIND_NONZERO_ROWS        = 124,
1982   MATOP_GET_COLUMN_NORMS         = 125,
1983   MATOP_INVERT_BLOCK_DIAGONAL    = 126,
1984   MATOP_INVERT_VBLOCK_DIAGONAL   = 127,
1985   MATOP_CREATE_SUB_MATRICES_MPI  = 128,
1986   MATOP_SET_VALUES_BATCH         = 129,
1987   /* MATOP_PLACEHOLDER_130=130, */
1988   MATOP_TRANSPOSE_MAT_MULT_SYMBO = 131,
1989   MATOP_TRANSPOSE_MAT_MULT_NUMER = 132,
1990   MATOP_TRANSPOSE_COLORING_CREAT = 133,
1991   MATOP_TRANS_COLORING_APPLY_SPT = 134,
1992   MATOP_TRANS_COLORING_APPLY_DEN = 135,
1993   /* MATOP_PLACEHOLDER_136=136, */
1994   MATOP_RART_SYMBOLIC         = 137,
1995   MATOP_RART_NUMERIC          = 138,
1996   MATOP_SET_BLOCK_SIZES       = 139,
1997   MATOP_AYPX                  = 140,
1998   MATOP_RESIDUAL              = 141,
1999   MATOP_FDCOLORING_SETUP      = 142,
2000   MATOP_FIND_OFFBLOCK_ENTRIES = 143,
2001   MATOP_MPICONCATENATESEQ     = 144,
2002   MATOP_DESTROYSUBMATRICES    = 145,
2003   MATOP_TRANSPOSE_SOLVE       = 146,
2004   MATOP_GET_VALUES_LOCAL      = 147
2005 } MatOperation;
2006 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, void (*)(void));
2007 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, void (**)(void));
2008 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
2009 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
2010 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatProductClear()", ) static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
2011 {
2012   return MatProductClear(A);
2013 }
2014 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, void (*)(void));
2015 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, void (**)(void));
2016 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, void *);
2017 PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscErrorCode (*)(void *));
2018 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
2019 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2020 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2021 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
2022 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscErrorCode (*)(void *), MatType, MatType);
2023 PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);
2024 
2025 /*
2026    Codes for matrices stored on disk. By default they are
2027    stored in a universal format. By changing the format with
2028    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
2029    be stored in a way natural for the matrix, for example dense matrices
2030    would be stored as dense. Matrices stored this way may only be
2031    read into matrices of the same type.
2032 */
2033 #define MATRIX_BINARY_FORMAT_DENSE -1
2034 
2035 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);
2036 
2037 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
2038 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
2039 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
2040 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
2041 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
2042 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
2043 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
2044 PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
2045 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION(3, 10, 0, "MatConvert()", ) PetscErrorCode MatISGetMPIXAIJ(Mat, MatReuse, Mat *);
2046 
2047 /*S
2048    MatNullSpace - Object that removes a null space from a vector, i.e.
2049                   orthogonalizes the vector to a subspace
2050 
2051    Level: advanced
2052 
2053 .seealso: [](ch_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2054 S*/
2055 typedef struct _p_MatNullSpace *MatNullSpace;
2056 
2057 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
2058 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, PetscErrorCode (*)(MatNullSpace, Vec, void *), void *);
2059 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
2060 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
2061 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
2062 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
2063 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
2064 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
2065 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
2066 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
2067 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
2068 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
2069 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
2070 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);
2071 
2072 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
2073 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
2074 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);
2075 
2076 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
2077 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
2078 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);
2079 
2080 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
2081 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);
2082 
2083 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperator()", ) static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
2084 {
2085   return MatComputeOperator(A, PETSC_NULLPTR, B);
2086 }
2087 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperatorTranspose()", ) static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
2088 {
2089   return MatComputeOperatorTranspose(A, PETSC_NULLPTR, B);
2090 }
2091 
2092 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
2093 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
2094 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
2095 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2096 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
2097 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
2098 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
2099 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2100 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
2101 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
2102 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
2103 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
2104 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
2105 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);
2106 
2107 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);
2108 
2109 PETSC_EXTERN PetscErrorCode MatMFFDInitializePackage(void);
2110 PETSC_EXTERN PetscErrorCode MatMFFDFinalizePackage(void);
2111 
2112 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2113 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
2114 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, PetscErrorCode (*)(void *, Vec, Vec), void *);
2115 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, PetscErrorCode (*)(void *, PetscInt, Vec, PetscScalar *));
2116 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, PetscErrorCode (*)(void *, Vec));
2117 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
2118 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
2119 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
2120 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
2121 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
2122 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
2123 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
2124 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, PetscErrorCode (*)(void *, Vec, Vec, PetscScalar *), void *);
2125 
2126 /*S
2127     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2128               Jacobian vector products
2129 
2130     Level: developer
2131 
2132     Notes:
2133     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure
2134 
2135      MatMFFD*() methods actually take the `Mat` as their first argument. Not a `MatMFFD` data structure
2136 
2137     This functionality is often obtained using `MatCreateSNESMF()` or with `SNES` solvers using `-snes_mf` or `-snes_mf_operator`
2138 
2139 .seealso: [](ch_matrices), `MatMFFDType`, `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`,
2140           `MatCreateSNESMF()`, `SNES`, `-snes_mf`, `-snes_mf_operator`
2141 S*/
2142 typedef struct _p_MatMFFD *MatMFFD;
2143 
2144 /*J
2145    MatMFFDType - algorithm used to compute the `h` used in computing matrix-vector products via differencing of a function
2146 
2147    Values:
2148 +   `MATMFFD_DS` - an algorithm described by Dennis and Schnabel {cite}`dennis:83`
2149 -   `MATMFFD_WP` - the Walker-Pernice {cite}`pw98` strategy.
2150 
2151    Level: beginner
2152 
2153 .seealso: [](ch_matrices), `MatMFFDSetType()`, `MatMFFDRegister()`, `MatMFFDSetFunction()`, `MatCreateMFFD()`
2154 J*/
2155 typedef const char *MatMFFDType;
2156 #define MATMFFD_DS "ds"
2157 #define MATMFFD_WP "wp"
2158 
2159 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2160 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));
2161 
2162 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2163 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);
2164 
2165 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);
2166 
2167 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2168 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
2169 
2170 #ifdef PETSC_HAVE_H2OPUS
2171 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatH2OpusKernel)(PetscInt, PetscReal[], PetscReal[], void *);
2172 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernel, void *, PetscReal, PetscInt, PetscInt, Mat *);
2173 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2174 PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2175 PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
2176 PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat, PetscReal);
2177 PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat, PetscBool);
2178 PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat, PetscBool *);
2179 PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat, IS *);
2180 PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2181 PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2182 #endif
2183 
2184 #ifdef PETSC_HAVE_HTOOL
2185 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatHtoolKernel)(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2186 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernel, void *, Mat *);
2187 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat, MatHtoolKernel, void *);
2188 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat, IS *);
2189 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat, IS *);
2190 PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat, PetscBool);
2191 
2192 /*E
2193    MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`
2194 
2195    Values:
2196 +  `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2197 .  `MAT_HTOOL_COMPRESSOR_FULL_ACA`                 - full adaptive cross approximation
2198 -  `MAT_HTOOL_COMPRESSOR_SVD`                      - singular value decomposition
2199 
2200    Level: intermediate
2201 
2202 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2203 E*/
2204 typedef enum {
2205   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2206   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2207   MAT_HTOOL_COMPRESSOR_SVD
2208 } MatHtoolCompressorType;
2209 
2210 /*E
2211    MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`
2212 
2213    Values:
2214 +  `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default)    - axis computed via principle component analysis, split uniformly
2215 .  `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC`            - axis computed via principle component analysis, split barycentrically
2216 .  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR`   - axis along the largest extent of the bounding box, split uniformly
2217 -  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically
2218 
2219    Level: intermediate
2220 
2221    Note:
2222    Higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
2223 
2224 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2225 E*/
2226 typedef enum {
2227   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2228   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2229   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2230   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2231 } MatHtoolClusteringType;
2232 #endif
2233 
2234 #ifdef PETSC_HAVE_MUMPS
2235 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2236 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2237 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2238 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);
2239 
2240 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2241 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2242 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2243 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2244 PETSC_EXTERN PetscErrorCode MatMumpsGetNullPivots(Mat, PetscInt *, PetscInt **);
2245 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2246 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2247 #endif
2248 
2249 #ifdef PETSC_HAVE_MKL_PARDISO
2250 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2251 #endif
2252 
2253 #ifdef PETSC_HAVE_MKL_CPARDISO
2254 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2255 #endif
2256 
2257 #ifdef PETSC_HAVE_SUPERLU
2258 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2259 #endif
2260 
2261 #ifdef PETSC_HAVE_SUPERLU_DIST
2262 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2263 #endif
2264 
2265 #ifdef PETSC_HAVE_STRUMPACK
2266 /*E
2267     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `MATSOLVERSTRUMPACK`
2268 
2269     Values:
2270 +  `MAT_STRUMPACK_NATURAL`   - use the current ordering
2271 .  `MAT_STRUMPACK_METIS`     - use MeTis to compute an ordering
2272 .  `MAT_STRUMPACK_PARMETIS`  - use ParMeTis to compute an ordering
2273 .  `MAT_STRUMPACK_SCOTCH`    - use Scotch to compute an ordering
2274 .  `MAT_STRUMPACK_PTSCOTCH`  - use parallel Scotch to compute an ordering
2275 .  `MAT_STRUMPACK_RCM`       - use an RCM ordering
2276 .  `MAT_STRUMPACK_GEOMETRIC` - use a geometric ordering (needs mesh info from user)
2277 .  `MAT_STRUMPACK_AMD`       - approximate minimum degree
2278 .  `MAT_STRUMPACK_MMD`       - multiple minimum degree
2279 .  `MAT_STRUMPACK_AND`       - approximate nested dissection
2280 .  `MAT_STRUMPACK_MLF`       - minimum local fill
2281 -  `MAT_STRUMPACK_SPECTRAL`  - spectral nested dissection
2282 
2283     Level: intermediate
2284 
2285     Developer Note:
2286     Should be called `MatSTRUMPACKReorderingType`
2287 
2288 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetReordering()`
2289 E*/
2290 typedef enum {
2291   MAT_STRUMPACK_NATURAL,
2292   MAT_STRUMPACK_METIS,
2293   MAT_STRUMPACK_PARMETIS,
2294   MAT_STRUMPACK_SCOTCH,
2295   MAT_STRUMPACK_PTSCOTCH,
2296   MAT_STRUMPACK_RCM,
2297   MAT_STRUMPACK_GEOMETRIC,
2298   MAT_STRUMPACK_AMD,
2299   MAT_STRUMPACK_MMD,
2300   MAT_STRUMPACK_AND,
2301   MAT_STRUMPACK_MLF,
2302   MAT_STRUMPACK_SPECTRAL
2303 } MatSTRUMPACKReordering;
2304 
2305 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2306 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetReordering(Mat, MatSTRUMPACKReordering *);
2307 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricNxyz(Mat, PetscInt, PetscInt, PetscInt);
2308 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricComponents(Mat, PetscInt);
2309 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricWidth(Mat, PetscInt);
2310 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2311 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetColPerm(Mat, PetscBool *);
2312 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGPU(Mat, PetscBool);
2313 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetGPU(Mat, PetscBool *);
2314 
2315 /*E
2316     MatSTRUMPACKCompressionType - Compression used in the approximate sparse factorization solver `MATSOLVERSTRUMPACK`
2317 
2318     Values:
2319 +  `MAT_STRUMPACK_COMPRESSION_TYPE_NONE`          - no compression, direct solver
2320 .  `MAT_STRUMPACK_COMPRESSION_TYPE_HSS`           - hierarchically semi-separable
2321 .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR`           - block low rank
2322 .  `MAT_STRUMPACK_COMPRESSION_TYPE_HODLR`         - hierarchically off-diagonal low rank (requires ButterfyPACK support, configure with --download-butterflypack)
2323 .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR`     - hybrid of BLR and HODLR (requires ButterfyPACK support, configure with --download-butterflypack)
2324 .  `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)
2325 .  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS`      - lossless compression (requires ZFP support, configure with --download-zfp)
2326 -  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY`         - lossy compression (requires ZFP support, configure with --download-zfp)
2327 
2328     Level: intermediate
2329 
2330 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetCompression()`
2331 E*/
2332 typedef enum {
2333   MAT_STRUMPACK_COMPRESSION_TYPE_NONE,
2334   MAT_STRUMPACK_COMPRESSION_TYPE_HSS,
2335   MAT_STRUMPACK_COMPRESSION_TYPE_BLR,
2336   MAT_STRUMPACK_COMPRESSION_TYPE_HODLR,
2337   MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR,
2338   MAT_STRUMPACK_COMPRESSION_TYPE_ZFP_BLR_HODLR,
2339   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS,
2340   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY
2341 } MatSTRUMPACKCompressionType;
2342 
2343 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompression(Mat, MatSTRUMPACKCompressionType);
2344 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompression(Mat, MatSTRUMPACKCompressionType *);
2345 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompRelTol(Mat, PetscReal);
2346 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompRelTol(Mat, PetscReal *);
2347 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompAbsTol(Mat, PetscReal);
2348 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompAbsTol(Mat, PetscReal *);
2349 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompMinSepSize(Mat, PetscInt);
2350 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompMinSepSize(Mat, PetscInt *);
2351 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLeafSize(Mat, PetscInt);
2352 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLeafSize(Mat, PetscInt *);
2353 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLossyPrecision(Mat, PetscInt);
2354 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLossyPrecision(Mat, PetscInt *);
2355 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompButterflyLevels(Mat, PetscInt);
2356 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompButterflyLevels(Mat, PetscInt *);
2357 #endif
2358 
2359 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2360 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2361 PETSC_DEPRECATED_FUNCTION(3, 13, 0, "MatBindToCPU()", ) static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2362 {
2363   return MatBindToCPU(A, flg);
2364 }
2365 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2366 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);
2367 
2368 #ifdef PETSC_HAVE_CUDA
2369 /*E
2370     MatCUSPARSEStorageFormat - indicates the storage format for `MATAIJCUSPARSE` (GPU)
2371     matrices.
2372 
2373     Values:
2374 +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2375 .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2376 -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2377 
2378     Level: intermediate
2379 
2380 .seealso: [](ch_matrices), `MATAIJCUSPARSE`, `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2381 E*/
2382 
2383 typedef enum {
2384   MAT_CUSPARSE_CSR,
2385   MAT_CUSPARSE_ELL,
2386   MAT_CUSPARSE_HYB
2387 } MatCUSPARSEStorageFormat;
2388 
2389 /* these will be strings associated with enumerated type defined above */
2390 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2391 
2392 /*E
2393     MatCUSPARSEFormatOperation - indicates the operation of `MATAIJCUSPARSE` (GPU)
2394     matrices whose operation should use a particular storage format.
2395 
2396     Values:
2397 +   `MAT_CUSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2398 .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2399 .   `MAT_CUSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2400 -   `MAT_CUSPARSE_ALL`          - sets the storage format for all `MATAIJCUSPARSE` (GPU) matrices
2401 
2402     Level: intermediate
2403 
2404 .seealso: [](ch_matrices), `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2405 E*/
2406 typedef enum {
2407   MAT_CUSPARSE_MULT_DIAG,
2408   MAT_CUSPARSE_MULT_OFFDIAG,
2409   MAT_CUSPARSE_MULT,
2410   MAT_CUSPARSE_ALL
2411 } MatCUSPARSEFormatOperation;
2412 
2413 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2414 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2415 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2416 PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2417 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2418 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2419 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2420 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2421 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2422 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2423 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2424 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);
2425 
2426 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2427 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2428 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2429 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2430 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2431 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2432 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2433 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2434 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2435 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2436 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2437 PETSC_EXTERN PetscErrorCode MatDenseCUDASetPreallocation(Mat, PetscScalar *);
2438 
2439 PETSC_EXTERN PetscErrorCode MatCreateSeqSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2440 PETSC_EXTERN PetscErrorCode MatCreateSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2441 #endif
2442 
2443 #ifdef PETSC_HAVE_HIP
2444 /*E
2445     MatHIPSPARSEStorageFormat - indicates the storage format for `MATAIJHIPSPARSE` (GPU)
2446     matrices.
2447 
2448     Values:
2449 +   `MAT_HIPSPARSE_CSR` - Compressed Sparse Row
2450 .   `MAT_HIPSPARSE_ELL` - Ellpack
2451 -   `MAT_HIPSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format
2452 
2453     Level: intermediate
2454 
2455 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
2456 E*/
2457 
2458 typedef enum {
2459   MAT_HIPSPARSE_CSR,
2460   MAT_HIPSPARSE_ELL,
2461   MAT_HIPSPARSE_HYB
2462 } MatHIPSPARSEStorageFormat;
2463 
2464 /* these will be strings associated with enumerated type defined above */
2465 PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];
2466 
2467 /*E
2468     MatHIPSPARSEFormatOperation - indicates the operation of `MATAIJHIPSPARSE` (GPU)
2469     matrices whose operation should use a particular storage format.
2470 
2471     Values:
2472 +   `MAT_HIPSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2473 .   `MAT_HIPSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2474 .   `MAT_HIPSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2475 -   `MAT_HIPSPARSE_ALL`          - sets the storage format for all HIPSPARSE (GPU) matrices
2476 
2477     Level: intermediate
2478 
2479 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
2480 E*/
2481 typedef enum {
2482   MAT_HIPSPARSE_MULT_DIAG,
2483   MAT_HIPSPARSE_MULT_OFFDIAG,
2484   MAT_HIPSPARSE_MULT,
2485   MAT_HIPSPARSE_ALL
2486 } MatHIPSPARSEFormatOperation;
2487 
2488 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2489 PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2490 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
2491 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
2492 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2493 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2494 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
2495 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
2496 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
2497 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
2498 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
2499 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);
2500 
2501 PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2502 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2503 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
2504 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
2505 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
2506 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
2507 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
2508 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
2509 PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
2510 PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
2511 PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);
2512 PETSC_EXTERN PetscErrorCode MatDenseHIPSetPreallocation(Mat, PetscScalar *);
2513 #endif
2514 
2515 #if defined(PETSC_HAVE_VIENNACL)
2516 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2517 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2518 #endif
2519 
2520 #if PetscDefined(HAVE_KOKKOS)
2521 PETSC_EXTERN PetscErrorCode MatCreateAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2522 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2523 #endif
2524 
2525 #if defined(PETSC_HAVE_FFTW)
2526 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2527 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2528 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2529 #endif
2530 
2531 #if defined(PETSC_HAVE_SCALAPACK)
2532 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2533 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2534 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2535 #endif
2536 
2537 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2538 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2539 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2540 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2541 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2542 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2543 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2544 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2545 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);
2546 
2547 PETSC_EXTERN PetscErrorCode MatFilter(Mat, PetscReal, PetscBool, PetscBool);
2548 PETSC_DEPRECATED_FUNCTION(3, 20, 0, "MatFilter()", ) static inline PetscErrorCode MatChop(Mat A, PetscReal tol)
2549 {
2550   return MatFilter(A, tol, PETSC_FALSE, PETSC_FALSE);
2551 }
2552 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);
2553 
2554 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);
2555 
2556 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);
2557 
2558 PETSC_EXTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2559 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);
2560 
2561 PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);
2562 
2563 PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, PetscInt, PetscInt[], Mat *);
2564 PETSC_EXTERN PetscErrorCode MatEliminateZeros(Mat, PetscBool);
2565 
2566 PETSC_EXTERN PetscErrorCode MatCreateDenseFromVecType(MPI_Comm, VecType, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar *, Mat *);
2567 
2568 PETSC_EXTERN PetscErrorCode MatSetHPL(Mat, int);
2569 #define PETSCBMHPL "hpl"
2570