xref: /petsc/include/petscmat.h (revision 07e43b41f7cb79bba1664e5473a3e2df04f149fa)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #ifndef PETSCMAT_H
5 #define PETSCMAT_H
6 
7 #include <petscvec.h>
8 
9 /* SUBMANSEC = Mat */
10 
11 /*S
12      Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
13            an explicit sparse representation (such as matrix-free operators)
14 
15    Level: beginner
16 
17    Note:
18    See [](doc_matrix) and `MatType` for available matrix types
19 
20 .seealso: [](chapter_matrices), [](doc_matrix), `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: [](chapter_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("GCC warning \"MATTRANSPOSEMAT macro is deprecated use MATTRANSPOSEVIRTUAL (since version 3.18)\"") "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 MATHTOOL                     "htool"
134 #define MATH2OPUS                    "h2opus"
135 
136 /*J
137     MatSolverType - String with the name of a PETSc matrix solver type.
138 
139     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
140 
141    Level: beginner
142 
143    Note:
144    `MATSOLVERUMFPACK`, `MATSOLVERCHOLMOD`, `MATSOLVERKLU`, `MATSOLVERSPQR` form the SuiteSparse package for which you can use --download-suitesparse
145 
146 .seealso: [](sec_matfactor), [](chapter_matrices), `MatGetFactor()`, `PCFactorSetMatSolverType()`, `PCFactorGetMatSolverType()`
147 J*/
148 typedef const char *MatSolverType;
149 #define MATSOLVERSUPERLU       "superlu"
150 #define MATSOLVERSUPERLU_DIST  "superlu_dist"
151 #define MATSOLVERSTRUMPACK     "strumpack"
152 #define MATSOLVERUMFPACK       "umfpack"
153 #define MATSOLVERCHOLMOD       "cholmod"
154 #define MATSOLVERKLU           "klu"
155 #define MATSOLVERELEMENTAL     "elemental"
156 #define MATSOLVERSCALAPACK     "scalapack"
157 #define MATSOLVERESSL          "essl"
158 #define MATSOLVERLUSOL         "lusol"
159 #define MATSOLVERMUMPS         "mumps"
160 #define MATSOLVERMKL_PARDISO   "mkl_pardiso"
161 #define MATSOLVERMKL_CPARDISO  "mkl_cpardiso"
162 #define MATSOLVERPASTIX        "pastix"
163 #define MATSOLVERMATLAB        "matlab"
164 #define MATSOLVERPETSC         "petsc"
165 #define MATSOLVERBAS           "bas"
166 #define MATSOLVERCUSPARSE      "cusparse"
167 #define MATSOLVERCUSPARSEBAND  "cusparseband"
168 #define MATSOLVERCUDA          "cuda"
169 #define MATSOLVERHIPSPARSE     "hipsparse"
170 #define MATSOLVERHIPSPARSEBAND "hipsparseband"
171 #define MATSOLVERHIP           "hip"
172 #define MATSOLVERKOKKOS        "kokkos"
173 #define MATSOLVERKOKKOSDEVICE  "kokkosdevice"
174 #define MATSOLVERSPQR          "spqr"
175 
176 /*E
177     MatFactorType - indicates what type of factorization is requested
178 
179     Level: beginner
180 
181     Values:
182 +  `MAT_FACTOR_LU` - LU factorization
183 .  `MAT_FACTOR_CHOLESKY` - Cholesky factorization
184 .  `MAT_FACTOR_ILU` - ILU factorization
185 .  `MAT_FACTOR_ICC` - incomplete Cholesky factorization
186 .  `MAT_FACTOR_ILUDT` - ILU factorization with drop tolerance
187 -  `MAT_FACTOR_QR` - QR factorization
188 
189 .seealso: [](chapter_matrices), `MatSolverType`, `MatGetFactor()`, `MatGetFactorAvailable()`, `MatSolverTypeRegister()`
190 E*/
191 typedef enum {
192   MAT_FACTOR_NONE,
193   MAT_FACTOR_LU,
194   MAT_FACTOR_CHOLESKY,
195   MAT_FACTOR_ILU,
196   MAT_FACTOR_ICC,
197   MAT_FACTOR_ILUDT,
198   MAT_FACTOR_QR,
199   MAT_FACTOR_NUM_TYPES
200 } MatFactorType;
201 PETSC_EXTERN const char *const MatFactorTypes[];
202 
203 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat, MatSolverType, MatFactorType, Mat *);
204 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat, MatSolverType, MatFactorType, PetscBool *);
205 PETSC_EXTERN PetscErrorCode MatFactorGetCanUseOrdering(Mat, PetscBool *);
206 PETSC_DEPRECATED_FUNCTION("Use MatFactorGetCanUseOrdering() (since version 3.15)") static inline PetscErrorCode MatFactorGetUseOrdering(Mat A, PetscBool *b)
207 {
208   return MatFactorGetCanUseOrdering(A, b);
209 }
210 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat, MatSolverType *);
211 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat, MatFactorType *);
212 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat, MatFactorType);
213 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatSolverFunction)(Mat, MatFactorType, Mat *);
214 PETSC_EXTERN PetscErrorCode            MatSolverTypeRegister(MatSolverType, MatType, MatFactorType, MatSolverFunction);
215 PETSC_EXTERN PetscErrorCode            MatSolverTypeGet(MatSolverType, MatType, MatFactorType, PetscBool *, PetscBool *, MatSolverFunction *);
216 typedef MatSolverType MatSolverPackage PETSC_DEPRECATED_TYPEDEF("Use MatSolverType (since version 3.9)");
217 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeRegister() (since version 3.9)") static inline PetscErrorCode MatSolverPackageRegister(MatSolverType stype, MatType mtype, MatFactorType ftype, MatSolverFunction f)
218 {
219   return MatSolverTypeRegister(stype, mtype, ftype, f);
220 }
221 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeGet() (since version 3.9)") static inline PetscErrorCode MatSolverPackageGet(MatSolverType stype, MatType mtype, MatFactorType ftype, PetscBool *foundmtype, PetscBool *foundstype, MatSolverFunction *f)
222 {
223   return MatSolverTypeGet(stype, mtype, ftype, foundmtype, foundstype, f);
224 }
225 
226 /*E
227     MatProductType - indicates what type of matrix product is requested
228 
229     Level: beginner
230 
231     Values:
232 +  `MATPRODUCT_AB` - product of two matrices
233 .  `MATPRODUCT_AtB` - product of the transpose of a given matrix with a matrix
234 .  `MATPRODUCT_ABt` - product of a matrix with the transpose of another given matrix
235 .  `MATPRODUCT_PtAP` - the triple product of the transpose of a matrix with another matrix and itself
236 .  `MATPRODUCT_RARt` - the triple product of a matrix, another matrix and the transpose of the first matrix
237 -  `MATPRODUCT_ABC` - the product of three matrices
238 
239 .seealso: [](sec_matmatproduct), [](chapter_matrices), `MatProductSetType()`
240 E*/
241 typedef enum {
242   MATPRODUCT_UNSPECIFIED = 0,
243   MATPRODUCT_AB,
244   MATPRODUCT_AtB,
245   MATPRODUCT_ABt,
246   MATPRODUCT_PtAP,
247   MATPRODUCT_RARt,
248   MATPRODUCT_ABC
249 } MatProductType;
250 PETSC_EXTERN const char *const MatProductTypes[];
251 
252 /*J
253     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
254 
255    Level: beginner
256 
257 .seealso: [](sec_matmatproduct), [](chapter_matrices), `MatSetType()`, `Mat`, `MatProductSetAlgorithm()`, `MatProductType`
258 J*/
259 typedef const char *MatProductAlgorithm;
260 #define MATPRODUCTALGORITHMDEFAULT         "default"
261 #define MATPRODUCTALGORITHMSORTED          "sorted"
262 #define MATPRODUCTALGORITHMSCALABLE        "scalable"
263 #define MATPRODUCTALGORITHMSCALABLEFAST    "scalable_fast"
264 #define MATPRODUCTALGORITHMHEAP            "heap"
265 #define MATPRODUCTALGORITHMBHEAP           "btheap"
266 #define MATPRODUCTALGORITHMLLCONDENSED     "llcondensed"
267 #define MATPRODUCTALGORITHMROWMERGE        "rowmerge"
268 #define MATPRODUCTALGORITHMOUTERPRODUCT    "outerproduct"
269 #define MATPRODUCTALGORITHMATB             "at*b"
270 #define MATPRODUCTALGORITHMRAP             "rap"
271 #define MATPRODUCTALGORITHMNONSCALABLE     "nonscalable"
272 #define MATPRODUCTALGORITHMSEQMPI          "seqmpi"
273 #define MATPRODUCTALGORITHMBACKEND         "backend"
274 #define MATPRODUCTALGORITHMOVERLAPPING     "overlapping"
275 #define MATPRODUCTALGORITHMMERGED          "merged"
276 #define MATPRODUCTALGORITHMALLATONCE       "allatonce"
277 #define MATPRODUCTALGORITHMALLATONCEMERGED "allatonce_merged"
278 #define MATPRODUCTALGORITHMALLGATHERV      "allgatherv"
279 #define MATPRODUCTALGORITHMCYCLIC          "cyclic"
280 #if defined(PETSC_HAVE_HYPRE)
281   #define MATPRODUCTALGORITHMHYPRE "hypre"
282 #endif
283 
284 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat, Mat, Mat, Mat *);
285 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat, Mat, Mat, Mat);
286 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat, MatProductType);
287 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(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: [](chapter_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     Level: developer
335 
336     Values:
337 +  `MAT_DO_NOT_GET_VALUES` - do not copy the matrix values
338 -  `MAT_GET_VALUES` - copy the matrix values
339 
340     Developer Note:
341     Why is not just a boolean used for this information?
342 
343 .seealso: [](chapter_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 
352 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm, Mat *);
353 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat, PetscInt, PetscInt, PetscInt, PetscInt);
354 PETSC_EXTERN PetscErrorCode MatSetType(Mat, MatType);
355 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat, VecType *);
356 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat, VecType);
357 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
358 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat, PetscObject, const char[]);
359 PETSC_EXTERN PetscErrorCode MatRegister(const char[], PetscErrorCode (*)(Mat));
360 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[], const char[], const char[]);
361 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat, const char[]);
362 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefixFactor(Mat, const char[]);
363 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefixFactor(Mat, const char[]);
364 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat, const char[]);
365 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat, const char *[]);
366 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat, PetscBool);
367 
368 PETSC_EXTERN PetscFunctionList MatList;
369 PETSC_EXTERN PetscFunctionList MatColoringList;
370 PETSC_EXTERN PetscFunctionList MatPartitioningList;
371 
372 /*E
373     MatStructure - Indicates if two matrices have the same nonzero structure
374 
375     Level: beginner
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 .seealso: [](chapter_matrices), `Mat`, `MatCopy()`, `MatAXPY()`, `MatAYPX()`
385 E*/
386 typedef enum {
387   DIFFERENT_NONZERO_PATTERN,
388   SUBSET_NONZERO_PATTERN,
389   SAME_NONZERO_PATTERN,
390   UNKNOWN_NONZERO_PATTERN
391 } MatStructure;
392 PETSC_EXTERN const char *const MatStructures[];
393 
394 #if defined                 PETSC_HAVE_MKL_SPARSE
395 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
396 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
397 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
398 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
399 #endif
400 
401 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
402 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
403 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat, PetscInt, const PetscInt[]);
404 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
405 PETSC_EXTERN PetscErrorCode MatSeqSELLGetFillRatio(Mat, PetscReal *);
406 PETSC_EXTERN PetscErrorCode MatSeqSELLGetMaxSliceWidth(Mat, PetscInt *);
407 PETSC_EXTERN PetscErrorCode MatSeqSELLGetAvgSliceWidth(Mat, PetscReal *);
408 PETSC_EXTERN PetscErrorCode MatSeqSELLSetSliceHeight(Mat, PetscInt);
409 
410 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
411 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
412 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
413 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
414 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
415 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
416 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArray(Mat, const PetscScalar[]);
417 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], PetscInt[], PetscInt[], PetscScalar[], Mat *);
418 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm, Mat, Mat, const PetscInt[], Mat *);
419 
420 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
421 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
422 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
423 
424 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat, PetscCount, PetscInt[], PetscInt[]);
425 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat, PetscCount, PetscInt[], PetscInt[]);
426 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat, const PetscScalar[], InsertMode);
427 
428 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscInt[], Mat *);
429 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
430 
431 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
432 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
433 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
434 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
435 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], const PetscInt[]);
436 
437 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, void *, Mat *);
438 PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm, PetscInt, PetscInt, Mat *);
439 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat, Mat *);
440 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat, Mat *);
441 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat, Mat, Vec, Mat, Mat *);
442 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat, Mat *, Mat *, Vec *, Mat *);
443 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, ISLocalToGlobalMapping, ISLocalToGlobalMapping, Mat *);
444 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
445 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
446 
447 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm, VecScatter, Mat *);
448 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat, VecScatter);
449 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat, VecScatter *);
450 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt *, Mat *);
451 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat, Mat);
452 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
453 typedef enum {
454   MAT_COMPOSITE_MERGE_RIGHT,
455   MAT_COMPOSITE_MERGE_LEFT
456 } MatCompositeMergeType;
457 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat, MatCompositeMergeType);
458 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm, PetscInt, const Mat *, Mat *);
459 typedef enum {
460   MAT_COMPOSITE_ADDITIVE,
461   MAT_COMPOSITE_MULTIPLICATIVE
462 } MatCompositeType;
463 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat, MatCompositeType);
464 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat, MatCompositeType *);
465 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat, MatStructure);
466 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat, MatStructure *);
467 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat, PetscInt *);
468 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat, PetscInt, Mat *);
469 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat, const PetscScalar *);
470 
471 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm, PetscInt, const PetscInt[], MatType, Mat *);
472 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm, PetscInt, const PetscInt[], Mat *);
473 
474 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat, Mat *);
475 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat, Mat *);
476 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat, Mat *);
477 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat, Mat *);
478 PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat, Mat *);
479 PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat, Mat *);
480 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat, IS, IS, Mat *);
481 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat, Mat, IS, IS);
482 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat, IS, IS, Mat *);
483 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar, Mat *);
484 
485 #if defined(PETSC_HAVE_HYPRE)
486 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
487 #endif
488 
489 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat, const char[]);
490 PETSC_EXTERN PetscErrorCode MatPythonGetType(Mat, const char *[]);
491 
492 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
493 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
494 PETSC_EXTERN PetscErrorCode MatDestroy(Mat *);
495 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat, PetscObjectState *);
496 
497 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
498 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
499 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
500 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat, Mat *);
501 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat, PetscScalar *);
502 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat, const PetscScalar **);
503 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat, PetscInt, const PetscInt *, PetscScalar *);
504 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat, Mat);
505 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat, MatReuse, Mat *);
506 
507 /* ------------------------------------------------------------*/
508 PETSC_EXTERN PetscErrorCode MatSetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
509 PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat, IS, IS, const PetscScalar[], InsertMode);
510 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
511 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat, PetscInt, const PetscScalar[]);
512 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat, PetscInt, const PetscScalar[]);
513 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt[], const PetscScalar[]);
514 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat, PetscRandom);
515 
516 /*S
517      MatStencil - Data structure (C struct) for storing information about rows and
518         columns of a matrix as indexed on an associated grid. These are arguments to `MatSetStencil()` and `MatSetBlockStencil()`
519 
520    Level: beginner
521 
522    Notes:
523    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).
524    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.
525 
526    For stencil access to vectors see `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`.
527 
528    For staggered grids, see `DMStagStencil`
529 
530    Fortran Note:
531    See `MatSetValuesStencil()` for details.
532 
533 .seealso: [](chapter_matrices), `Mat`, `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`,
534           `DMStagStencil`
535 S*/
536 typedef struct {
537   PetscInt k, j, i, c;
538 } MatStencil;
539 
540 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
541 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
542 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat, PetscInt, const PetscInt[], const PetscInt[], PetscInt);
543 
544 /*E
545     MatAssemblyType - Indicates if the process of setting values into the matrix is complete, and the matrix is ready for use
546 
547     Level: beginner
548 
549     Values:
550 +   `MAT_FLUSH_ASSEMBLY` - you will continue to put values into the matrix
551 -   `MAT_FINAL_ASSEMBLY` - you wish to use the matrix with the values currently inserted
552 
553 .seealso: [](chapter_matrices), `Mat`, `MatSetValues`, `MatAssemblyBegin()`, `MatAssemblyEnd()`
554 E*/
555 typedef enum {
556   MAT_FLUSH_ASSEMBLY = 1,
557   MAT_FINAL_ASSEMBLY = 0
558 } MatAssemblyType;
559 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat, MatAssemblyType);
560 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat, MatAssemblyType);
561 PETSC_EXTERN PetscErrorCode MatAssembled(Mat, PetscBool *);
562 
563 /*E
564     MatOption - Options that may be set for a matrix that indicate properties of the matrix or affect its behavior or storage
565 
566     Level: beginner
567 
568    Note:
569    See `MatSetOption()` for the use of the options
570 
571    Developer Note:
572    Entries that are negative need not be called collectively by all processes.
573 
574 .seealso: [](chapter_matrices), `Mat`, `MatSetOption()`
575 E*/
576 typedef enum {
577   MAT_OPTION_MIN                  = -3,
578   MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
579   MAT_ROW_ORIENTED                = -1,
580   MAT_SYMMETRIC                   = 1,
581   MAT_STRUCTURALLY_SYMMETRIC      = 2,
582   MAT_FORCE_DIAGONAL_ENTRIES      = 3,
583   MAT_IGNORE_OFF_PROC_ENTRIES     = 4,
584   MAT_USE_HASH_TABLE              = 5,
585   MAT_KEEP_NONZERO_PATTERN        = 6,
586   MAT_IGNORE_ZERO_ENTRIES         = 7,
587   MAT_USE_INODES                  = 8,
588   MAT_HERMITIAN                   = 9,
589   MAT_SYMMETRY_ETERNAL            = 10,
590   MAT_NEW_NONZERO_LOCATION_ERR    = 11,
591   MAT_IGNORE_LOWER_TRIANGULAR     = 12,
592   MAT_ERROR_LOWER_TRIANGULAR      = 13,
593   MAT_GETROW_UPPERTRIANGULAR      = 14,
594   MAT_SPD                         = 15,
595   MAT_NO_OFF_PROC_ZERO_ROWS       = 16,
596   MAT_NO_OFF_PROC_ENTRIES         = 17,
597   MAT_NEW_NONZERO_LOCATIONS       = 18,
598   MAT_NEW_NONZERO_ALLOCATION_ERR  = 19,
599   MAT_SUBSET_OFF_PROC_ENTRIES     = 20,
600   MAT_SUBMAT_SINGLEIS             = 21,
601   MAT_STRUCTURE_ONLY              = 22,
602   MAT_SORTED_FULL                 = 23,
603   MAT_FORM_EXPLICIT_TRANSPOSE     = 24,
604   MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
605   MAT_SPD_ETERNAL                 = 26,
606   MAT_OPTION_MAX                  = 27
607 } MatOption;
608 
609 PETSC_EXTERN const char *const *MatOptions;
610 PETSC_EXTERN PetscErrorCode     MatSetOption(Mat, MatOption, PetscBool);
611 PETSC_EXTERN PetscErrorCode     MatGetOption(Mat, MatOption, PetscBool *);
612 PETSC_EXTERN PetscErrorCode     MatPropagateSymmetryOptions(Mat, Mat);
613 PETSC_EXTERN PetscErrorCode     MatGetType(Mat, MatType *);
614 
615 PETSC_EXTERN PetscErrorCode    MatGetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
616 PETSC_EXTERN PetscErrorCode    MatGetRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
617 PETSC_EXTERN PetscErrorCode    MatRestoreRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
618 PETSC_EXTERN PetscErrorCode    MatGetRowUpperTriangular(Mat);
619 PETSC_EXTERN PetscErrorCode    MatRestoreRowUpperTriangular(Mat);
620 PETSC_EXTERN PetscErrorCode    MatGetColumnVector(Mat, Vec, PetscInt);
621 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArray(Mat, PetscScalar *[]);
622 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayRead(Mat, const PetscScalar *[]);
623 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayWrite(Mat, PetscScalar *[]);
624 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArray(Mat, PetscScalar *[]);
625 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayRead(Mat, const PetscScalar *[]);
626 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayWrite(Mat, PetscScalar *[]);
627 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetMaxRowNonzeros(Mat, PetscInt *);
628 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetValuesLocalFast(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
629 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetType(Mat, MatType);
630 PETSC_EXTERN PetscErrorCode    MatSeqAIJKron(Mat, Mat, MatReuse, Mat *);
631 PETSC_EXTERN PetscErrorCode    MatSeqAIJRegister(const char[], PetscErrorCode (*)(Mat, MatType, MatReuse, Mat *));
632 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
633 PETSC_EXTERN PetscErrorCode    MatSeqBAIJGetArray(Mat, PetscScalar *[]);
634 PETSC_EXTERN PetscErrorCode    MatSeqBAIJRestoreArray(Mat, PetscScalar *[]);
635 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJGetArray(Mat, PetscScalar *[]);
636 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJRestoreArray(Mat, PetscScalar *[]);
637 PETSC_EXTERN PetscErrorCode    MatDenseGetArray(Mat, PetscScalar *[]);
638 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArray(Mat, PetscScalar *[]);
639 PETSC_EXTERN PetscErrorCode    MatDensePlaceArray(Mat, const PetscScalar[]);
640 PETSC_EXTERN PetscErrorCode    MatDenseReplaceArray(Mat, const PetscScalar[]);
641 PETSC_EXTERN PetscErrorCode    MatDenseResetArray(Mat);
642 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayRead(Mat, const PetscScalar *[]);
643 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayRead(Mat, const PetscScalar *[]);
644 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWrite(Mat, PetscScalar *[]);
645 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWrite(Mat, PetscScalar *[]);
646 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayAndMemType(Mat, PetscScalar *[], PetscMemType *);
647 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayAndMemType(Mat, PetscScalar *[]);
648 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayReadAndMemType(Mat, const PetscScalar *[], PetscMemType *);
649 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayReadAndMemType(Mat, const PetscScalar *[]);
650 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWriteAndMemType(Mat, PetscScalar *[], PetscMemType *);
651 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWriteAndMemType(Mat, PetscScalar *[]);
652 PETSC_EXTERN PetscErrorCode    MatGetBlockSize(Mat, PetscInt *);
653 PETSC_EXTERN PetscErrorCode    MatSetBlockSize(Mat, PetscInt);
654 PETSC_EXTERN PetscErrorCode    MatGetBlockSizes(Mat, PetscInt *, PetscInt *);
655 PETSC_EXTERN PetscErrorCode    MatSetBlockSizes(Mat, PetscInt, PetscInt);
656 PETSC_EXTERN PetscErrorCode    MatSetBlockSizesFromMats(Mat, Mat, Mat);
657 PETSC_EXTERN PetscErrorCode    MatSetVariableBlockSizes(Mat, PetscInt, PetscInt *);
658 PETSC_EXTERN PetscErrorCode    MatGetVariableBlockSizes(Mat, PetscInt *, const PetscInt **);
659 
660 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat, PetscInt, PetscScalar *[]);
661 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat, PetscScalar *[]);
662 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat, PetscInt, Vec *);
663 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat, PetscInt, Vec *);
664 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat, PetscInt, Vec *);
665 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat, PetscInt, Vec *);
666 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat, PetscInt, Vec *);
667 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat, PetscInt, Vec *);
668 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
669 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat, Mat *);
670 
671 PETSC_EXTERN PetscErrorCode MatMult(Mat, Vec, Vec);
672 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat, Vec, Vec);
673 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat, Vec, Vec, Vec);
674 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat, Vec, Vec);
675 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat, Vec, Vec);
676 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat, Mat, PetscReal, PetscBool *);
677 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat, Mat, PetscReal, PetscBool *);
678 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat, Vec, Vec, Vec);
679 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat, Vec, Vec, Vec);
680 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat, Mat, Mat);
681 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat, Mat, Mat);
682 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat, Mat, Mat);
683 PETSC_EXTERN PetscErrorCode MatResidual(Mat, Vec, Vec, Vec);
684 
685 /*E
686     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
687   its numerical values copied over or just its nonzero structure.
688 
689     Level: beginner
690 
691     Values:
692 +   `MAT_DO_NOT_COPY_VALUES`    - Create a matrix using the same nonzero pattern as the original matrix,
693                                with zeros for the numerical values
694 .   `MAT_COPY_VALUES`           - Create a matrix with the same nonzero pattern as the original matrix
695                                and with the same numerical values.
696 -   `MAT_SHARE_NONZERO_PATTERN` - Create a matrix that shares the nonzero structure with the previous matrix
697                                and does not copy it, using zeros for the numerical values. The parent and
698                                child matrices will share their index (i and j) arrays, and you cannot
699                                insert new nonzero entries into either matrix
700 
701   Note:
702   Many matrix types (including `MATSEQAIJ`) do not support the `MAT_SHARE_NONZERO_PATTERN` optimization; in
703   this case the behavior is as if `MAT_DO_NOT_COPY_VALUES` has been specified.
704 
705 .seealso: [](chapter_matrices), `Mat`, `MatDuplicate()`
706 E*/
707 typedef enum {
708   MAT_DO_NOT_COPY_VALUES,
709   MAT_COPY_VALUES,
710   MAT_SHARE_NONZERO_PATTERN
711 } MatDuplicateOption;
712 
713 PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
714 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);
715 
716 PETSC_EXTERN PetscErrorCode MatCopy(Mat, Mat, MatStructure);
717 PETSC_EXTERN PetscErrorCode MatView(Mat, PetscViewer);
718 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat, PetscReal, PetscBool *);
719 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat, PetscBool *);
720 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat, PetscReal, PetscBool *);
721 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat, PetscBool *, PetscBool *);
722 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat, PetscBool *, PetscBool *);
723 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat, PetscBool *, PetscBool *);
724 PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat, PetscBool *, PetscBool *);
725 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat, PetscBool *, PetscInt *);
726 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
727 
728 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
729 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
730 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
731 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
732 
733 /*S
734      MatInfo - Context of matrix information, used with `MatGetInfo()`
735 
736    Level: intermediate
737 
738    Fortran Note:
739    Information is stored as a double-precision array of dimension `MAT_INFO_SIZE`
740 
741 .seealso: [](chapter_matrices), `Mat`, `MatGetInfo()`, `MatInfoType`
742 S*/
743 typedef struct {
744   PetscLogDouble block_size;                          /* block size */
745   PetscLogDouble nz_allocated, nz_used, nz_unneeded;  /* number of nonzeros */
746   PetscLogDouble memory;                              /* memory allocated */
747   PetscLogDouble assemblies;                          /* number of matrix assemblies called */
748   PetscLogDouble mallocs;                             /* number of mallocs during MatSetValues() */
749   PetscLogDouble fill_ratio_given, fill_ratio_needed; /* fill ratio for LU/ILU */
750   PetscLogDouble factor_mallocs;                      /* number of mallocs during factorization */
751 } MatInfo;
752 
753 /*E
754     MatInfoType - Indicates if you want information about the local part of the matrix,
755      the entire parallel matrix or the maximum over all the local parts.
756 
757     Level: beginner
758 
759     Values:
760 +   `MAT_LOCAL` - values for each MPI process part of the matrix
761 .   `MAT_GLOBAL_MAX` - maximum of each value over all MPI processes
762 -   `MAT_GLOBAL_SUM` - sum of each value over all MPI processes
763 
764 .seealso: [](chapter_matrices), `MatGetInfo()`, `MatInfo`
765 E*/
766 typedef enum {
767   MAT_LOCAL      = 1,
768   MAT_GLOBAL_MAX = 2,
769   MAT_GLOBAL_SUM = 3
770 } MatInfoType;
771 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat, MatInfoType, MatInfo *);
772 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat, Vec);
773 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat, Vec, PetscInt[]);
774 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat, Vec, PetscInt[]);
775 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat, Vec, PetscInt[]);
776 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat, Vec, PetscInt[]);
777 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat, Vec);
778 PETSC_EXTERN PetscErrorCode MatTranspose(Mat, MatReuse, Mat *);
779 PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat, Mat *);
780 PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat, Mat);
781 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat, MatReuse, Mat *);
782 PETSC_EXTERN PetscErrorCode MatPermute(Mat, IS, IS, Mat *);
783 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat, Vec, Vec);
784 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat, Vec, InsertMode);
785 
786 PETSC_EXTERN PetscErrorCode MatEqual(Mat, Mat, PetscBool *);
787 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat, Mat, PetscInt, PetscBool *);
788 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat, Mat, PetscInt, PetscBool *);
789 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
790 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
791 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
792 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
793 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
794 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
795 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
796 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
797 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
798 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat, PetscInt, PetscBool *);
799 
800 PETSC_EXTERN PetscErrorCode MatNorm(Mat, NormType, PetscReal *);
801 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat, NormType, PetscReal *);
802 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat, PetscScalar *);
803 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat, PetscReal *);
804 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat, PetscReal *);
805 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat, PetscScalar *);
806 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat, PetscReal *);
807 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat, PetscReal *);
808 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat, PetscInt, PetscReal *);
809 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
810 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
811 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
812 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat, IS, PetscScalar, Vec, Vec);
813 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
814 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
815 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
816 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat, IS, PetscScalar, Vec, Vec);
817 
818 PETSC_EXTERN PetscErrorCode MatGetSize(Mat, PetscInt *, PetscInt *);
819 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat, PetscInt *, PetscInt *);
820 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat, PetscInt *, PetscInt *);
821 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat, const PetscInt **);
822 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat, PetscInt *, PetscInt *);
823 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat, const PetscInt **);
824 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat, IS *, IS *);
825 
826 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
827 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatrices() (since version 3.8)") static inline PetscErrorCode MatGetSubMatrices(Mat mat, PetscInt n, const IS irow[], const IS icol[], MatReuse scall, Mat *submat[])
828 {
829   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
830 }
831 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
832 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatricesMPI() (since version 3.8)") static inline PetscErrorCode MatGetSubMatricesMPI(Mat mat, PetscInt n, const IS irow[], const IS icol[], MatReuse scall, Mat *submat[])
833 {
834   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
835 }
836 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
837 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
838 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
839 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatrix() (since version 3.8)") static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat)
840 {
841   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
842 }
843 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
844 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
845 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
846 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);
847 
848 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm, Mat, PetscInt, PetscInt, MatReuse, Mat *);
849 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm, Mat, PetscInt, PetscInt, Mat *);
850 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat, Mat);
851 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat, MatReuse, Mat *);
852 PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat, Mat *);
853 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
854 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat, MatReuse, IS *, Mat *);
855 PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat, PetscCount *);
856 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat, Mat, MatReuse, IS *, IS *, Mat *);
857 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *, const PetscInt *[]);
858 
859 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
860 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat, PetscInt n, IS is[], PetscInt ov);
861 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);
862 
863 PETSC_EXTERN PetscErrorCode MatMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
864 
865 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
866 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
867 
868 PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
869 PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);
870 
871 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
872 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);
873 
874 PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
875 PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);
876 
877 PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
878 PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);
879 
880 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping, ISLocalToGlobalMapping);
881 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
882 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat, PetscLayout *, PetscLayout *);
883 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat, PetscLayout, PetscLayout);
884 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
885 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
886 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
887 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
888 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
889 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
890 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
891 
892 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
893 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);
894 
895 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat, Vec, Vec);
896 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat, Vec, Vec, Vec);
897 PETSC_EXTERN PetscErrorCode MatRestrict(Mat, Vec, Vec);
898 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat, Mat, Mat *);
899 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat, Mat, Mat, Mat *);
900 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat, Mat, Mat *);
901 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat, Vec *, Vec *);
902 PETSC_DEPRECATED_FUNCTION("Use MatCreateVecs() (since version 3.6)") static inline PetscErrorCode MatGetVecs(Mat mat, Vec *x, Vec *y)
903 {
904   return MatCreateVecs(mat, x, y);
905 }
906 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat, PetscInt, MPI_Comm, MatReuse, Mat *);
907 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat, MPI_Comm, MatReuse, Mat *);
908 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat, IS *);
909 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat, IS *);
910 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm, Mat, PetscInt, MatReuse, Mat *);
911 
912 /*MC
913    MatSetValue - Set a single entry into a matrix.
914 
915    Not Collective
916 
917    Synopsis:
918      #include <petscmat.h>
919      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
920 
921    Input Parameters:
922 +  m - the matrix
923 .  row - the row location of the entry
924 .  col - the column location of the entry
925 .  value - the value to insert
926 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
927 
928    Level: beginner
929 
930    Note:
931    For efficiency one should use `MatSetValues()` and set several values simultaneously.
932 
933 .seealso: [](chapter_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd`, `InsertMode`, `MatGetValue()`, `MatSetValues()`,
934           `MatSetValueLocal()`, `MatSetValuesLocal()`
935 M*/
936 static inline PetscErrorCode MatSetValue(Mat v, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
937 {
938   return MatSetValues(v, 1, &i, 1, &j, &va, mode);
939 }
940 
941 /*@C
942    MatGetValue - Gets a single value from a matrix
943 
944    Not Collective; can only return a value owned by the given process
945 
946    Input Parameters:
947 +  mat - the matrix
948 .  row - the row location of the entry
949 -  col - the column location of the entry
950 
951    Output Parameter:
952 .  va - the value
953 
954    Level: advanced
955 
956    Notes:
957    The matrix must have been assembled with `MatAssemblyBegin()` and `MatAssemblyEnd` before this call
958 
959    For efficiency one should use `MatGetValues()` and get several values simultaneously.
960 
961    See notes for `MatGetValues()`.
962 
963 .seealso: [](chapter_matrices),  `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd`, `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
964 @*/
965 static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
966 {
967   return MatGetValues(mat, 1, &row, 1, &col, va);
968 }
969 
970 /*MC
971    MatSetValueLocal - Inserts or adds a single value into a matrix, using a local numbering of the nodes.
972 
973    Not Collective
974 
975    Input Parameters:
976 +  m - the matrix
977 .  row - the row location of the entry
978 .  col - the column location of the entry
979 .  value - the value to insert
980 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
981 
982    Level: intermediate
983 
984    Notes:
985    For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.
986 
987    See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.
988 
989 .seealso: [](chapter_matrices), `MatSetValue()`, `MatSetValuesLocal()`
990 M*/
991 static inline PetscErrorCode MatSetValueLocal(Mat v, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
992 {
993   return MatSetValuesLocal(v, 1, &i, 1, &j, &va, mode);
994 }
995 
996 /*MC
997    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
998        row in a matrix providing the data that one can use to correctly preallocate the matrix.
999 
1000    Synopsis:
1001    #include <petscmat.h>
1002    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
1003 
1004    Collective
1005 
1006    Input Parameters:
1007 +  comm - the communicator that will share the eventually allocated matrix
1008 .  nrows - the number of LOCAL rows in the matrix
1009 -  ncols - the number of LOCAL columns in the matrix
1010 
1011    Output Parameters:
1012 +  dnz - the array that will be passed to the matrix preallocation routines
1013 -  onz - the other array passed to the matrix preallocation routines
1014 
1015    Level: deprecated (since v3.19)
1016 
1017    Notes:
1018    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1019    the use of this routine
1020 
1021    This is a macro that handles its own error checking, it does not return an error code.
1022 
1023    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1024 
1025    Developer Note:
1026     This is a MACRO not a function because it has a leading { that is closed by `PetscPreallocateFinalize()`.
1027 
1028 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1029           `MatPreallocateSymmetricSetLocalBlock()`
1030 M*/
1031 #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
1032   do { \
1033     PetscInt              __nrows = (nrows), __ncols = (ncols), __rstart, __end = 0; \
1034     PetscInt PETSC_UNUSED __start; \
1035     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
1036     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
1037     __start = __end - __ncols; \
1038     (void)__start; \
1039     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
1040   __rstart -= __nrows
1041 
1042 #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateBegin() (since version 3.18)\"") MatPreallocateBegin(__VA_ARGS__)
1043 
1044 /*MC
1045    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1046        inserted using a local number of the rows and columns
1047 
1048    Synopsis:
1049    #include <petscmat.h>
1050    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1051 
1052    Not Collective
1053 
1054    Input Parameters:
1055 +  map - the row mapping from local numbering to global numbering
1056 .  nrows - the number of rows indicated
1057 .  rows - the indices of the rows
1058 .  cmap - the column mapping from local to global numbering
1059 .  ncols - the number of columns in the matrix
1060 .  cols - the columns indicated
1061 .  dnz - the array that will be passed to the matrix preallocation routines
1062 -  onz - the other array passed to the matrix preallocation routines
1063 
1064    Level: deprecated (since v3.19)
1065 
1066    Notes:
1067    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1068    the use of this routine
1069 
1070    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1071 
1072 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1073           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
1074 M*/
1075 #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1076   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));)
1077 
1078 /*MC
1079    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1080        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
1081 
1082    Synopsis:
1083    #include <petscmat.h>
1084    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1085 
1086    Not Collective
1087 
1088    Input Parameters:
1089 +  map - the row mapping from local numbering to global numbering
1090 .  nrows - the number of rows indicated
1091 .  rows - the indices of the rows (these values are mapped to the global values)
1092 .  cmap - the column mapping from local to global numbering
1093 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1094 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1095 .  dnz - the array that will be passed to the matrix preallocation routines
1096 -  onz - the other array passed to the matrix preallocation routines
1097 
1098    Level: deprecated (since v3.19)
1099 
1100    Notes:
1101    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1102    the use of this routine
1103 
1104    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1105 
1106 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1107           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1108 M*/
1109 #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1110   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));)
1111 
1112 /*MC
1113    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1114        inserted using a local number of the rows and columns
1115 
1116    Synopsis:
1117    #include <petscmat.h>
1118    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1119 
1120    Not Collective
1121 
1122    Input Parameters:
1123 +  map - the row mapping from local numbering to global numbering
1124 .  nrows - the number of rows indicated
1125 .  rows - the indices of the rows
1126 .  cmap - the column mapping from local to global numbering
1127 .  ncols - the number of columns in the matrix
1128 .  cols - the columns indicated
1129 .  dnz - the array that will be passed to the matrix preallocation routines
1130 -  onz - the other array passed to the matrix preallocation routines
1131 
1132    Level: deprecated (since v3.19)
1133 
1134    Notes:
1135    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1136    the use of this routine
1137 
1138    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1139 
1140 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1141           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1142 M*/
1143 #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1144   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));)
1145 
1146 /*MC
1147    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1148        inserted using a local number of the rows and columns
1149 
1150    Synopsis:
1151    #include <petscmat.h>
1152    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1153 
1154    Not Collective
1155 
1156    Input Parameters:
1157 +  map - the mapping between local numbering and global numbering
1158 .  nrows - the number of rows indicated
1159 .  rows - the indices of the rows
1160 .  ncols - the number of columns in the matrix
1161 .  cols - the columns indicated
1162 .  dnz - the array that will be passed to the matrix preallocation routines
1163 -  onz - the other array passed to the matrix preallocation routines
1164 
1165    Level: deprecated (since v3.19)
1166 
1167    Notes:
1168    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1169    the use of this routine
1170 
1171    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1172 
1173 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`
1174           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1175 M*/
1176 #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1177   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));)
1178 
1179 /*MC
1180    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1181        inserted using a local number of the rows and columns
1182 
1183    Synopsis:
1184    #include <petscmat.h>
1185    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1186 
1187    Not Collective
1188 
1189    Input Parameters:
1190 +  row - the row
1191 .  ncols - the number of columns in the matrix
1192 -  cols - the columns indicated
1193 
1194    Output Parameters:
1195 +  dnz - the array that will be passed to the matrix preallocation routines
1196 -  onz - the other array passed to the matrix preallocation routines
1197 
1198    Level: deprecated (since v3.19)
1199 
1200    Notes:
1201    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1202    the use of this routine
1203 
1204    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1205 
1206    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1207 
1208 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1209           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1210 M*/
1211 #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1212   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) { \
1213     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1214     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1215   })
1216 
1217 /*MC
1218    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1219        inserted using a local number of the rows and columns
1220 
1221    Synopsis:
1222    #include <petscmat.h>
1223    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1224 
1225    Not Collective
1226 
1227    Input Parameters:
1228 +  nrows - the number of rows indicated
1229 .  rows - the indices of the rows
1230 .  ncols - the number of columns in the matrix
1231 .  cols - the columns indicated
1232 .  dnz - the array that will be passed to the matrix preallocation routines
1233 -  onz - the other array passed to the matrix preallocation routines
1234 
1235    Level: deprecated (since v3.19)
1236 
1237    Notes:
1238    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1239    the use of this routine
1240 
1241    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1242 
1243    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1244 
1245 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1246           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1247 M*/
1248 #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1249   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
1250     if (cols[__i] >= __end) onz[row - __rstart]++; \
1251     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1252   })
1253 
1254 /*MC
1255    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1256 
1257    Synopsis:
1258    #include <petscmat.h>
1259    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1260 
1261    Not Collective
1262 
1263    Input Parameters:
1264 +  A - matrix
1265 .  row - row where values exist (must be local to this process)
1266 .  ncols - number of columns
1267 .  cols - columns with nonzeros
1268 .  dnz - the array that will be passed to the matrix preallocation routines
1269 -  onz - the other array passed to the matrix preallocation routines
1270 
1271    Level: deprecated (since v3.19)
1272 
1273    Notes:
1274    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1275    the use of this routine
1276 
1277    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1278 
1279    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
1280 
1281 .seealso: [](chapter_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1282           `MatPreallocateSymmetricSetLocalBlock()`
1283 M*/
1284 #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))
1285 
1286 /*MC
1287    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1288        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1289 
1290    Synopsis:
1291    #include <petscmat.h>
1292    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)
1293 
1294    Collective
1295 
1296    Input Parameters:
1297 +  dnz - the array that was be passed to the matrix preallocation routines
1298 -  onz - the other array passed to the matrix preallocation routines
1299 
1300    Level: deprecated (since v3.19)
1301 
1302    Notes:
1303    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1304    the use of this routine
1305 
1306    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1307 
1308    Developer Note:
1309     This is a MACRO not a function because it closes the { started in MatPreallocateBegin().
1310 
1311 .seealso: [](chapter_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1312           `MatPreallocateSymmetricSetLocalBlock()`
1313 M*/
1314 #define MatPreallocateEnd(dnz, onz) \
1315   PetscCall(PetscFree2(dnz, onz)); \
1316   } \
1317   while (0)
1318 
1319 #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateEnd() (since version 3.18)\"") MatPreallocateEnd(__VA_ARGS__)
1320 
1321 /* Routines unique to particular data structures */
1322 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, void *);
1323 
1324 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1325 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);
1326 
1327 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1328 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1329 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1330 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1331 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1332 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscInt, PetscBool);
1333 
1334 #define MAT_SKIP_ALLOCATION -4
1335 
1336 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1337 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1338 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1339 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);
1340 
1341 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1342 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1343 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1344 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1345 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1346 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1347 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1348 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1349 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1350 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1351 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1352 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1353 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1354 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1355 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);
1356 
1357 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1358 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1359 PETSC_DEPRECATED_FUNCTION("Use MatDenseSetLDA() (since version 3.14)") static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
1360 {
1361   return MatDenseSetLDA(A, lda);
1362 }
1363 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);
1364 
1365 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1366 
1367 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1368 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1369 
1370 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1371 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1372 /*
1373   These routines are not usually accessed directly, rather solving is
1374   done through the KSP and PC interfaces.
1375 */
1376 
1377 /*J
1378     MatOrderingType - String with the name of a PETSc matrix ordering. These orderings are most commonly used
1379     to reduce fill in sparse factorizations.
1380 
1381    Level: beginner
1382 
1383    Notes:
1384    If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and instead the external package called utilizes one
1385    in the external the factorization package
1386 
1387    There is no `MatOrdering` object, the ordering is obtained directly from the matrix with `MatGetOrdering()`
1388 
1389    Developer Note:
1390    This API should be converted to an API similar to those for `MatColoring` and `MatPartitioning`
1391 
1392 .seealso: [](chapter_matrices), [](sec_graph), `MatGetFactor()`, `MatGetOrdering()`, `MatColoringType`, `MatPartitioningType`, `MatCoarsenType`, `MatCoarsenType`,
1393           `PCFactorSetOrderingType()`
1394 J*/
1395 typedef const char *MatOrderingType;
1396 #define MATORDERINGNATURAL       "natural"
1397 #define MATORDERINGND            "nd"
1398 #define MATORDERING1WD           "1wd"
1399 #define MATORDERINGRCM           "rcm"
1400 #define MATORDERINGQMD           "qmd"
1401 #define MATORDERINGROWLENGTH     "rowlength"
1402 #define MATORDERINGWBM           "wbm"
1403 #define MATORDERINGSPECTRAL      "spectral"
1404 #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1405 #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1406 #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 */
1407 #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */
1408 
1409 PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1410 PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1411 PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1412 PETSC_EXTERN PetscFunctionList MatOrderingList;
1413 
1414 #include "petscmatcoarsen.h"
1415 
1416 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1417 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);
1418 
1419 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);
1420 
1421 /*S
1422     MatFactorShiftType - Type of numeric shift used for factorizations
1423 
1424    Values:
1425 +  `MAT_SHIFT_NONE` - do not shift the matrix diagonal entries
1426 .  `MAT_SHIFT_NONZERO` - shift the entries to be non-zero
1427 .  `MAT_SHIFT_POSITIVE_DEFINITE` - shift the entries to force the factorization to be positive definite
1428 -  `MAT_SHIFT_INBLOCKS` - only shift the factors inside the small dense diagonal blocks of the matrix, for example with `MATBAIJ`
1429 
1430    Level: intermediate
1431 
1432 .seealso: [](chapter_matrices), `Mat`, `MatGetFactor()`, `PCFactorSetShiftType()`
1433 S*/
1434 typedef enum {
1435   MAT_SHIFT_NONE,
1436   MAT_SHIFT_NONZERO,
1437   MAT_SHIFT_POSITIVE_DEFINITE,
1438   MAT_SHIFT_INBLOCKS
1439 } MatFactorShiftType;
1440 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1441 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1442 
1443 /*S
1444     MatFactorError - indicates what type of error was generated in a matrix factorization
1445 
1446     Values:
1447 +   `MAT_FACTOR_NOERROR` - there was no error during the factorization
1448 .   `MAT_FACTOR_STRUCT_ZEROPIVOT` - there was a missing entry in a diagonal location of the matrix
1449 .   `MAT_FACTOR_NUMERIC_ZEROPIVOT` - there was a (near) zero pivot during the factorization
1450 .   `MAT_FACTOR_OUTMEMORY` - the factorization has run out of memory
1451 -   `MAT_FACTOR_OTHER` - some other error has occurred.
1452 
1453     Level: intermediate
1454 
1455     Note:
1456     When a factorization is done in a preconditioner `PC` the error may be propagated up to a `PCFailedReason` or a `KSPConvergedReason`
1457 
1458 .seealso: [](chapter_matrices), `Mat`, `MatGetFactor()`, `MatFactorGetError()`, `MatFactorGetErrorZeroPivot()`, `MatFactorClearError()`,
1459           `PCFailedReason`, `PCGetFailedReason()`, `KSPConvergedReason`
1460 S*/
1461 typedef enum {
1462   MAT_FACTOR_NOERROR,
1463   MAT_FACTOR_STRUCT_ZEROPIVOT,
1464   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1465   MAT_FACTOR_OUTMEMORY,
1466   MAT_FACTOR_OTHER
1467 } MatFactorError;
1468 
1469 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1470 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1471 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);
1472 
1473 /*S
1474    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1475 
1476    Level: developer
1477 
1478    Note:
1479    You can use `MatFactorInfoInitialize()` to set default values.
1480 
1481    Fortran Note:
1482    The data is available in a double precision arrays of size `MAT_FACTORINFO_SIZE`
1483 
1484 .seealso: [](chapter_matrices), `Mat`, `MatInfo`, `MatGetFactor()`, `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`,
1485           `MatICCFactorSymbolic()`, `MatICCFactor()`,  `MatFactorInfoInitialize()`
1486 S*/
1487 typedef struct {
1488   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1489   PetscReal usedt;
1490   PetscReal dt;            /* drop tolerance */
1491   PetscReal dtcol;         /* tolerance for pivoting */
1492   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1493   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1494   PetscReal levels;        /* ICC/ILU(levels) */
1495   PetscReal pivotinblocks; /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1496                                    factorization may be faster if do not pivot */
1497   PetscReal zeropivot;     /* pivot is called zero if less than this */
1498   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1499   PetscReal shiftamount;   /* how large the shift is */
1500 } MatFactorInfo;
1501 
1502 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1503 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1504 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1505 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1506 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1507 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1508 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1509 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1510 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1511 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1512 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1513 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1514 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1515 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1516 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1517 PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1518 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1519 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1520 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1521 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1522 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1523 PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1524 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1525 
1526 typedef enum {
1527   MAT_FACTOR_SCHUR_UNFACTORED,
1528   MAT_FACTOR_SCHUR_FACTORED,
1529   MAT_FACTOR_SCHUR_INVERTED
1530 } MatFactorSchurStatus;
1531 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1532 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1533 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1534 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1535 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1536 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1537 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1538 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1539 
1540 PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1541 /*E
1542     MatSORType - What type of (S)SOR to perform
1543 
1544    Values:
1545 +  `SOR_FORWARD_SWEEP` - do a sweep from the first row of the matrix to the last
1546 .  `SOR_BACKWARD_SWEEP` -  do a sweep from the last row to the first
1547 .  `SOR_SYMMETRIC_SWEEP` - do a sweep from the first row to the last and then back to the first
1548 .  `SOR_LOCAL_FORWARD_SWEEP` - each MPI rank does its own forward sweep with no communication
1549 .  `SOR_LOCAL_BACKWARD_SWEEP` - each MPI rank does its own backward sweep with no communication
1550 .  `SOR_LOCAL_SYMMETRIC_SWEEP` - each MPI rank does its own symmetric sweep with no communication
1551 .  `SOR_ZERO_INITIAL_GUESS` - indicates the initial solution is zero so the sweep can avoid unneeded computation
1552 .  `SOR_EISENSTAT` - apply the Eisentat application of SOR, see `PCEISENSTAT`
1553 .  `SOR_APPLY_UPPER` - multiply by the upper triangular portion of the matrix
1554 -  `SOR_APPLY_LOWER` - multiply by the lower triangular portion of the matrix
1555 
1556     Level: beginner
1557 
1558    Note:
1559    These may be bitwise ORd together
1560 
1561    Developer Note:
1562    Since `MatSORType` may be bitwise ORd together, so do not change the numerical values below
1563 
1564 .seealso: [](chapter_matrices), `MatSOR()`
1565 E*/
1566 typedef enum {
1567   SOR_FORWARD_SWEEP         = 1,
1568   SOR_BACKWARD_SWEEP        = 2,
1569   SOR_SYMMETRIC_SWEEP       = 3,
1570   SOR_LOCAL_FORWARD_SWEEP   = 4,
1571   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1572   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1573   SOR_ZERO_INITIAL_GUESS    = 16,
1574   SOR_EISENSTAT             = 32,
1575   SOR_APPLY_UPPER           = 64,
1576   SOR_APPLY_LOWER           = 128
1577 } MatSORType;
1578 PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);
1579 
1580 /*S
1581      MatColoring - Object for managing the coloring of matrices.
1582 
1583    Level: beginner
1584 
1585    Notes:
1586    Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1587    matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).
1588 
1589    Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1590    same object can also be used to efficiently convert data created by Automatic Differentiation tools to PETSc sparse matrices.
1591 
1592 .seealso: [](chapter_matrices), [](sec_graph), `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`,
1593           `MatPartitioning`, `MatColoringType`, `MatPartitioningType`, `MatOrderingType`,  `MatColoringSetWeightType()`,
1594           `MatColoringSetWeights()`, `MatCoarsenType`,  `MatCoarsen`
1595 S*/
1596 typedef struct _p_MatColoring *MatColoring;
1597 
1598 /*J
1599     MatColoringType - String with the name of a PETSc matrix coloring
1600 
1601    Level: beginner
1602 
1603 .seealso: [](chapter_matrices), [](sec_graph), `Mat`, `MatFDColoringCreate()`, `MatColoringSetType()`, `MatColoring`
1604 J*/
1605 typedef const char *MatColoringType;
1606 #define MATCOLORINGJP      "jp"
1607 #define MATCOLORINGPOWER   "power"
1608 #define MATCOLORINGNATURAL "natural"
1609 #define MATCOLORINGSL      "sl"
1610 #define MATCOLORINGLF      "lf"
1611 #define MATCOLORINGID      "id"
1612 #define MATCOLORINGGREEDY  "greedy"
1613 
1614 /*E
1615    MatColoringWeightType - Type of weight scheme used for the coloring algorithm
1616 
1617     Values:
1618 +   `MAT_COLORING_RANDOM`  - Random weights
1619 .   `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1620 -   `MAT_COLORING_LF`      - Last-first weighting.
1621 
1622     Level: intermediate
1623 
1624 .seealso: [](chapter_matrices), `MatColoring`, `MatColoringCreate()`, `MatColoringSetWeightType()`, `MatColoringSetWeights()`
1625 E*/
1626 typedef enum {
1627   MAT_COLORING_WEIGHT_RANDOM,
1628   MAT_COLORING_WEIGHT_LEXICAL,
1629   MAT_COLORING_WEIGHT_LF,
1630   MAT_COLORING_WEIGHT_SL
1631 } MatColoringWeightType;
1632 
1633 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1634 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1635 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1636 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1637 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1638 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1639 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1640 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1641 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1642 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1643 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1644 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1645 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1646 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1647 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1648 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1649 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1650 PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
1651 {
1652   return MatColoringTest(matcoloring, iscoloring);
1653 }
1654 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);
1655 
1656 /*S
1657      MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring
1658 
1659    Level: beginner
1660 
1661    Notes:
1662    This object is creating utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`
1663 
1664    The `SNES` option `-snes_fd_coloring` will cause the Jacobian needed by `SNES` to be computed via a use of this object
1665 
1666 .seealso: [](chapter_matrices), `Mat`, `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1667 S*/
1668 typedef struct _p_MatFDColoring *MatFDColoring;
1669 
1670 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1671 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1672 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1673 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, PetscErrorCode (*)(void), void *);
1674 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, PetscErrorCode (**)(void), void **);
1675 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1676 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1677 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1678 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1679 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1680 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1681 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1682 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);
1683 
1684 /*S
1685      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1686 
1687    Level: developer
1688 
1689 .seealso: [](chapter_matrices), `Mat`, `MatProductType`, `MatTransposeColoringCreate()`
1690 S*/
1691 typedef struct _p_MatTransposeColoring *MatTransposeColoring;
1692 
1693 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1694 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1695 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1696 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);
1697 
1698 /*S
1699      MatPartitioning - Object for managing the partitioning of a matrix or graph
1700 
1701    Level: beginner
1702 
1703    Note:
1704      There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1705      via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)
1706 
1707    Developers Note:
1708      It is an extra maintenance and documentation cost to have two objects with the same functionality. `PetscPartitioner` should be removed
1709 
1710 .seealso: [](chapter_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`, `MatOrderingType`,
1711           `MatCoarsenType`, `MatCoarsenType`
1712 S*/
1713 typedef struct _p_MatPartitioning *MatPartitioning;
1714 
1715 /*J
1716     MatPartitioningType - String with the name of a PETSc matrix partitioning
1717 
1718    Level: beginner
1719 dm
1720 .seealso: [](chapter_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`, `MatColoringType`, `MatOrderingType`,
1721           `MatCoarsenType`, `MatCoarsenType`
1722 J*/
1723 typedef const char *MatPartitioningType;
1724 #define MATPARTITIONINGCURRENT  "current"
1725 #define MATPARTITIONINGAVERAGE  "average"
1726 #define MATPARTITIONINGSQUARE   "square"
1727 #define MATPARTITIONINGPARMETIS "parmetis"
1728 #define MATPARTITIONINGCHACO    "chaco"
1729 #define MATPARTITIONINGPARTY    "party"
1730 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1731 #define MATPARTITIONINGHIERARCH "hierarch"
1732 
1733 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1734 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1735 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1736 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1737 PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1738 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1739 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1740 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1741 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1742 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1743 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1744 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1745 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1746 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1747 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1748 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1749 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1750 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1751 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);
1752 
1753 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1754 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1755 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1756 
1757 typedef enum {
1758   MP_CHACO_MULTILEVEL = 1,
1759   MP_CHACO_SPECTRAL   = 2,
1760   MP_CHACO_LINEAR     = 4,
1761   MP_CHACO_RANDOM     = 5,
1762   MP_CHACO_SCATTERED  = 6
1763 } MPChacoGlobalType;
1764 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1765 typedef enum {
1766   MP_CHACO_KERNIGHAN = 1,
1767   MP_CHACO_NONE      = 2
1768 } MPChacoLocalType;
1769 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1770 typedef enum {
1771   MP_CHACO_LANCZOS = 0,
1772   MP_CHACO_RQI     = 1
1773 } MPChacoEigenType;
1774 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1775 
1776 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1777 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1778 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1779 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1780 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1781 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1782 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1783 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1784 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1785 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1786 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);
1787 
1788 #define MP_PARTY_OPT "opt"
1789 #define MP_PARTY_LIN "lin"
1790 #define MP_PARTY_SCA "sca"
1791 #define MP_PARTY_RAN "ran"
1792 #define MP_PARTY_GBF "gbf"
1793 #define MP_PARTY_GCF "gcf"
1794 #define MP_PARTY_BUB "bub"
1795 #define MP_PARTY_DEF "def"
1796 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1797 #define MP_PARTY_HELPFUL_SETS  "hs"
1798 #define MP_PARTY_KERNIGHAN_LIN "kl"
1799 #define MP_PARTY_NONE          "no"
1800 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1801 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1802 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1803 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);
1804 
1805 typedef enum {
1806   MP_PTSCOTCH_DEFAULT,
1807   MP_PTSCOTCH_QUALITY,
1808   MP_PTSCOTCH_SPEED,
1809   MP_PTSCOTCH_BALANCE,
1810   MP_PTSCOTCH_SAFETY,
1811   MP_PTSCOTCH_SCALABILITY
1812 } MPPTScotchStrategyType;
1813 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1814 
1815 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1816 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1817 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1818 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);
1819 
1820 /*
1821  * hierarchical partitioning
1822  */
1823 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1824 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1825 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1826 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1827 
1828 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);
1829 
1830 /*
1831     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1832     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1833 */
1834 typedef enum {
1835   MATOP_SET_VALUES               = 0,
1836   MATOP_GET_ROW                  = 1,
1837   MATOP_RESTORE_ROW              = 2,
1838   MATOP_MULT                     = 3,
1839   MATOP_MULT_ADD                 = 4,
1840   MATOP_MULT_TRANSPOSE           = 5,
1841   MATOP_MULT_TRANSPOSE_ADD       = 6,
1842   MATOP_SOLVE                    = 7,
1843   MATOP_SOLVE_ADD                = 8,
1844   MATOP_SOLVE_TRANSPOSE          = 9,
1845   MATOP_SOLVE_TRANSPOSE_ADD      = 10,
1846   MATOP_LUFACTOR                 = 11,
1847   MATOP_CHOLESKYFACTOR           = 12,
1848   MATOP_SOR                      = 13,
1849   MATOP_TRANSPOSE                = 14,
1850   MATOP_GETINFO                  = 15,
1851   MATOP_EQUAL                    = 16,
1852   MATOP_GET_DIAGONAL             = 17,
1853   MATOP_DIAGONAL_SCALE           = 18,
1854   MATOP_NORM                     = 19,
1855   MATOP_ASSEMBLY_BEGIN           = 20,
1856   MATOP_ASSEMBLY_END             = 21,
1857   MATOP_SET_OPTION               = 22,
1858   MATOP_ZERO_ENTRIES             = 23,
1859   MATOP_ZERO_ROWS                = 24,
1860   MATOP_LUFACTOR_SYMBOLIC        = 25,
1861   MATOP_LUFACTOR_NUMERIC         = 26,
1862   MATOP_CHOLESKY_FACTOR_SYMBOLIC = 27,
1863   MATOP_CHOLESKY_FACTOR_NUMERIC  = 28,
1864   MATOP_SETUP                    = 29,
1865   MATOP_ILUFACTOR_SYMBOLIC       = 30,
1866   MATOP_ICCFACTOR_SYMBOLIC       = 31,
1867   MATOP_GET_DIAGONAL_BLOCK       = 32,
1868   MATOP_SET_INF                  = 33,
1869   MATOP_DUPLICATE                = 34,
1870   MATOP_FORWARD_SOLVE            = 35,
1871   MATOP_BACKWARD_SOLVE           = 36,
1872   MATOP_ILUFACTOR                = 37,
1873   MATOP_ICCFACTOR                = 38,
1874   MATOP_AXPY                     = 39,
1875   MATOP_CREATE_SUBMATRICES       = 40,
1876   MATOP_INCREASE_OVERLAP         = 41,
1877   MATOP_GET_VALUES               = 42,
1878   MATOP_COPY                     = 43,
1879   MATOP_GET_ROW_MAX              = 44,
1880   MATOP_SCALE                    = 45,
1881   MATOP_SHIFT                    = 46,
1882   MATOP_DIAGONAL_SET             = 47,
1883   MATOP_ZERO_ROWS_COLUMNS        = 48,
1884   MATOP_SET_RANDOM               = 49,
1885   MATOP_GET_ROW_IJ               = 50,
1886   MATOP_RESTORE_ROW_IJ           = 51,
1887   MATOP_GET_COLUMN_IJ            = 52,
1888   MATOP_RESTORE_COLUMN_IJ        = 53,
1889   MATOP_FDCOLORING_CREATE        = 54,
1890   MATOP_COLORING_PATCH           = 55,
1891   MATOP_SET_UNFACTORED           = 56,
1892   MATOP_PERMUTE                  = 57,
1893   MATOP_SET_VALUES_BLOCKED       = 58,
1894   MATOP_CREATE_SUBMATRIX         = 59,
1895   MATOP_DESTROY                  = 60,
1896   MATOP_VIEW                     = 61,
1897   MATOP_CONVERT_FROM             = 62,
1898   /* MATOP_PLACEHOLDER_63=63 */
1899   MATOP_MATMAT_MULT_SYMBOLIC    = 64,
1900   MATOP_MATMAT_MULT_NUMERIC     = 65,
1901   MATOP_SET_LOCAL_TO_GLOBAL_MAP = 66,
1902   MATOP_SET_VALUES_LOCAL        = 67,
1903   MATOP_ZERO_ROWS_LOCAL         = 68,
1904   MATOP_GET_ROW_MAX_ABS         = 69,
1905   MATOP_GET_ROW_MIN_ABS         = 70,
1906   MATOP_CONVERT                 = 71,
1907   MATOP_HAS_OPERATION           = 72,
1908   /* MATOP_PLACEHOLDER_73=73, */
1909   MATOP_SET_VALUES_ADIFOR = 74,
1910   MATOP_FD_COLORING_APPLY = 75,
1911   MATOP_SET_FROM_OPTIONS  = 76,
1912   /* MATOP_PLACEHOLDER_77=77, */
1913   /* MATOP_PLACEHOLDER_78=78, */
1914   MATOP_FIND_ZERO_DIAGONALS       = 79,
1915   MATOP_MULT_MULTIPLE             = 80,
1916   MATOP_SOLVE_MULTIPLE            = 81,
1917   MATOP_GET_INERTIA               = 82,
1918   MATOP_LOAD                      = 83,
1919   MATOP_IS_SYMMETRIC              = 84,
1920   MATOP_IS_HERMITIAN              = 85,
1921   MATOP_IS_STRUCTURALLY_SYMMETRIC = 86,
1922   MATOP_SET_VALUES_BLOCKEDLOCAL   = 87,
1923   MATOP_CREATE_VECS               = 88,
1924   /* MATOP_PLACEHOLDER_89=89, */
1925   MATOP_MAT_MULT_SYMBOLIC = 90,
1926   MATOP_MAT_MULT_NUMERIC  = 91,
1927   /* MATOP_PLACEHOLDER_92=92, */
1928   MATOP_PTAP_SYMBOLIC = 93,
1929   MATOP_PTAP_NUMERIC  = 94,
1930   /* MATOP_PLACEHOLDER_95=95, */
1931   MATOP_MAT_TRANSPOSE_MULT_SYMBO = 96,
1932   MATOP_MAT_TRANSPOSE_MULT_NUMER = 97,
1933   MATOP_BIND_TO_CPU              = 98,
1934   MATOP_PRODUCTSETFROMOPTIONS    = 99,
1935   MATOP_PRODUCTSYMBOLIC          = 100,
1936   MATOP_PRODUCTNUMERIC           = 101,
1937   MATOP_CONJUGATE                = 102,
1938   MATOP_VIEW_NATIVE              = 103,
1939   MATOP_SET_VALUES_ROW           = 104,
1940   MATOP_REAL_PART                = 105,
1941   MATOP_IMAGINARY_PART           = 106,
1942   MATOP_GET_ROW_UPPER_TRIANGULAR = 107,
1943   MATOP_RESTORE_ROW_UPPER_TRIANG = 108,
1944   MATOP_MAT_SOLVE                = 109,
1945   MATOP_MAT_SOLVE_TRANSPOSE      = 110,
1946   MATOP_GET_ROW_MIN              = 111,
1947   MATOP_GET_COLUMN_VECTOR        = 112,
1948   MATOP_MISSING_DIAGONAL         = 113,
1949   MATOP_GET_SEQ_NONZERO_STRUCTUR = 114,
1950   MATOP_CREATE                   = 115,
1951   MATOP_GET_GHOSTS               = 116,
1952   MATOP_GET_LOCAL_SUB_MATRIX     = 117,
1953   MATOP_RESTORE_LOCALSUB_MATRIX  = 118,
1954   MATOP_MULT_DIAGONAL_BLOCK      = 119,
1955   MATOP_HERMITIAN_TRANSPOSE      = 120,
1956   MATOP_MULT_HERMITIAN_TRANSPOSE = 121,
1957   MATOP_MULT_HERMITIAN_TRANS_ADD = 122,
1958   MATOP_GET_MULTI_PROC_BLOCK     = 123,
1959   MATOP_FIND_NONZERO_ROWS        = 124,
1960   MATOP_GET_COLUMN_NORMS         = 125,
1961   MATOP_INVERT_BLOCK_DIAGONAL    = 126,
1962   MATOP_INVERT_VBLOCK_DIAGONAL   = 127,
1963   MATOP_CREATE_SUB_MATRICES_MPI  = 128,
1964   MATOP_SET_VALUES_BATCH         = 129,
1965   /* MATOP_PLACEHOLDER_130=130, */
1966   MATOP_TRANSPOSE_MAT_MULT_SYMBO = 131,
1967   MATOP_TRANSPOSE_MAT_MULT_NUMER = 132,
1968   MATOP_TRANSPOSE_COLORING_CREAT = 133,
1969   MATOP_TRANS_COLORING_APPLY_SPT = 134,
1970   MATOP_TRANS_COLORING_APPLY_DEN = 135,
1971   /* MATOP_PLACEHOLDER_136=136, */
1972   MATOP_RART_SYMBOLIC         = 137,
1973   MATOP_RART_NUMERIC          = 138,
1974   MATOP_SET_BLOCK_SIZES       = 139,
1975   MATOP_AYPX                  = 140,
1976   MATOP_RESIDUAL              = 141,
1977   MATOP_FDCOLORING_SETUP      = 142,
1978   MATOP_FIND_OFFBLOCK_ENTRIES = 143,
1979   MATOP_MPICONCATENATESEQ     = 144,
1980   MATOP_DESTROYSUBMATRICES    = 145,
1981   MATOP_TRANSPOSE_SOLVE       = 146,
1982   MATOP_GET_VALUES_LOCAL      = 147
1983 } MatOperation;
1984 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, void (*)(void));
1985 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, void (**)(void));
1986 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
1987 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
1988 PETSC_DEPRECATED_FUNCTION("Use MatProductClear() (since version 3.14)") static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
1989 {
1990   return MatProductClear(A);
1991 }
1992 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, void (*)(void));
1993 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, void (**)(void));
1994 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, void *);
1995 PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscErrorCode (*)(void *));
1996 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
1997 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
1998 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
1999 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
2000 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscErrorCode (*)(void *), MatType, MatType);
2001 PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);
2002 
2003 /*
2004    Codes for matrices stored on disk. By default they are
2005    stored in a universal format. By changing the format with
2006    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
2007    be stored in a way natural for the matrix, for example dense matrices
2008    would be stored as dense. Matrices stored this way may only be
2009    read into matrices of the same type.
2010 */
2011 #define MATRIX_BINARY_FORMAT_DENSE -1
2012 
2013 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);
2014 
2015 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
2016 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
2017 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
2018 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
2019 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
2020 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
2021 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
2022 PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
2023 PETSC_EXTERN                PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat, MatReuse, Mat *);
2024 
2025 /*S
2026      MatNullSpace - Object that removes a null space from a vector, i.e.
2027          orthogonalizes the vector to a subspace
2028 
2029    Level: advanced
2030 
2031 .seealso: [](chapter_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2032 S*/
2033 typedef struct _p_MatNullSpace *MatNullSpace;
2034 
2035 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
2036 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, PetscErrorCode (*)(MatNullSpace, Vec, void *), void *);
2037 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
2038 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
2039 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
2040 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
2041 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
2042 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
2043 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
2044 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
2045 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
2046 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
2047 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
2048 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);
2049 
2050 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
2051 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
2052 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);
2053 
2054 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
2055 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
2056 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);
2057 
2058 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
2059 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);
2060 
2061 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
2062 {
2063   return MatComputeOperator(A, PETSC_NULLPTR, B);
2064 }
2065 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
2066 {
2067   return MatComputeOperatorTranspose(A, PETSC_NULLPTR, B);
2068 }
2069 
2070 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
2071 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
2072 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
2073 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2074 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
2075 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
2076 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
2077 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2078 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
2079 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
2080 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
2081 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
2082 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
2083 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);
2084 
2085 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);
2086 
2087 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2088 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
2089 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, PetscErrorCode (*)(void *, Vec, Vec), void *);
2090 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, PetscErrorCode (*)(void *, PetscInt, Vec, PetscScalar *));
2091 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, PetscErrorCode (*)(void *, Vec));
2092 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
2093 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
2094 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
2095 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
2096 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
2097 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
2098 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
2099 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, PetscErrorCode (*)(void *, Vec, Vec, PetscScalar *), void *);
2100 
2101 /*S
2102     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2103               Jacobian vector products
2104 
2105     Level: developer
2106 
2107     Notes:
2108     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure
2109 
2110      MatMFFD*() methods actually take the `Mat` as their first argument. Not a `MatMFFD` data structure
2111 
2112     This functionality is often obtained using `MatCreateSNESMF()` or with `SNES` solvers using `-snes_mf` or `-snes_mf_operator`
2113 
2114 .seealso: [](chapter_matrices), `MatMFFDType`, `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`,
2115           `MatCreateSNESMF()`, `SNES`, `-snes_mf`, `-snes_mf_operator`
2116 S*/
2117 typedef struct _p_MatMFFD *MatMFFD;
2118 
2119 /*J
2120     MatMFFDType - algorithm used to compute the `h` used in computing matrix-vector products via differencing of a function
2121 
2122    Level: beginner
2123 
2124 .seealso: [](chapter_matrices), `MatMFFDSetType()`, `MatMFFDRegister()`, `MatMFFDSetFunction()`, `MatCreateMFFD()`
2125 J*/
2126 typedef const char *MatMFFDType;
2127 #define MATMFFD_DS "ds"
2128 #define MATMFFD_WP "wp"
2129 
2130 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2131 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));
2132 
2133 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2134 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);
2135 
2136 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);
2137 
2138 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2139 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
2140 
2141 #ifdef PETSC_HAVE_H2OPUS
2142 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatH2OpusKernel)(PetscInt, PetscReal[], PetscReal[], void *);
2143 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernel, void *, PetscReal, PetscInt, PetscInt, Mat *);
2144 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2145 PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2146 PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
2147 PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat, PetscReal);
2148 PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat, PetscBool);
2149 PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat, PetscBool *);
2150 PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat, IS *);
2151 PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2152 PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2153 #endif
2154 
2155 #ifdef PETSC_HAVE_HTOOL
2156 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatHtoolKernel)(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2157 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernel, void *, Mat *);
2158 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat, MatHtoolKernel, void *);
2159 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat, IS *);
2160 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat, IS *);
2161 PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat, PetscBool);
2162 
2163 /*E
2164      MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`
2165 
2166    Level: intermediate
2167 
2168     Values:
2169 +   `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2170 .   `MAT_HTOOL_COMPRESSOR_FULL_ACA` - full adaptive cross approximation
2171 -   `MAT_HTOOL_COMPRESSOR_SVD` - singular value decomposition
2172 
2173 .seealso: [](chapter_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2174 E*/
2175 typedef enum {
2176   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2177   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2178   MAT_HTOOL_COMPRESSOR_SVD
2179 } MatHtoolCompressorType;
2180 
2181 /*E
2182      MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`
2183 
2184    Level: intermediate
2185 
2186     Values:
2187 +   `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default) - axis computed via principle component analysis, split uniformly
2188 .   `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC` - axis computed via principle component analysis, split barycentrically
2189 .   `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR` - axis along the largest extent of the bounding box, split uniformly
2190 -   `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically
2191 
2192     Note:
2193     Higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
2194 
2195 .seealso: [](chapter_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2196 E*/
2197 typedef enum {
2198   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2199   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2200   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2201   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2202 } MatHtoolClusteringType;
2203 #endif
2204 
2205 #ifdef PETSC_HAVE_MUMPS
2206 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2207 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2208 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2209 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);
2210 
2211 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2212 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2213 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2214 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2215 PETSC_EXTERN PetscErrorCode MatMumpsGetNullPivots(Mat, PetscInt *, PetscInt **);
2216 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2217 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2218 #endif
2219 
2220 #ifdef PETSC_HAVE_MKL_PARDISO
2221 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2222 #endif
2223 
2224 #ifdef PETSC_HAVE_MKL_CPARDISO
2225 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2226 #endif
2227 
2228 #ifdef PETSC_HAVE_SUPERLU
2229 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2230 #endif
2231 
2232 #ifdef PETSC_HAVE_SUPERLU_DIST
2233 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2234 #endif
2235 
2236 #ifdef PETSC_HAVE_STRUMPACK
2237 /*E
2238     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `MATSOLVERSTRUMPACK``
2239 
2240     Level: intermediate
2241 
2242     Values:
2243 +  `MAT_STRUMPACK_NATURAL` - use the current ordering
2244 .  `MAT_STRUMPACK_METIS` - use MeTis to compute an ordering
2245 .  `MAT_STRUMPACK_PARMETIS` - use ParMeTis to compute an ordering
2246 .  `MAT_STRUMPACK_SCOTCH` - use Scotch to compute an ordering
2247 .  `MAT_STRUMPACK_PTSCOTCH` - use parallel Scotch to compute an ordering
2248 -  `MAT_STRUMPACK_RCM` - use an RCM ordering
2249 
2250     Developer Note:
2251     Should be called `MatSTRUMPACKReorderingType`
2252 
2253 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetHSSRelTol()`, `MatSTRUMPACKSetReordering()`
2254 E*/
2255 typedef enum {
2256   MAT_STRUMPACK_NATURAL  = 0,
2257   MAT_STRUMPACK_METIS    = 1,
2258   MAT_STRUMPACK_PARMETIS = 2,
2259   MAT_STRUMPACK_SCOTCH   = 3,
2260   MAT_STRUMPACK_PTSCOTCH = 4,
2261   MAT_STRUMPACK_RCM      = 5
2262 } MatSTRUMPACKReordering;
2263 
2264 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2265 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2266 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat, PetscReal);
2267 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat, PetscReal rtol)
2268 {
2269   return MatSTRUMPACKSetHSSRelTol(mat, rtol);
2270 }
2271 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat, PetscReal);
2272 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat, PetscInt);
2273 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat, PetscInt hssminsize)
2274 {
2275   return MatSTRUMPACKSetHSSMinSepSize(mat, hssminsize);
2276 }
2277 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat, PetscInt);
2278 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat, PetscInt);
2279 #endif
2280 
2281 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2282 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2283 PETSC_DEPRECATED_FUNCTION("Use MatBindToCPU (since v3.13)") static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2284 {
2285   return MatBindToCPU(A, flg);
2286 }
2287 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2288 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);
2289 
2290 typedef struct _n_SplitCSRMat *PetscSplitCSRDataStructure;
2291 PETSC_EXTERN PetscErrorCode    MatCUSPARSEGetDeviceMatWrite(Mat, PetscSplitCSRDataStructure *);
2292 
2293 #ifdef PETSC_HAVE_KOKKOS_KERNELS
2294 PETSC_EXTERN PetscErrorCode MatKokkosGetDeviceMatWrite(Mat, PetscSplitCSRDataStructure *);
2295 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosSetDeviceMat(Mat, PetscSplitCSRDataStructure);
2296 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosGetDeviceMat(Mat, PetscSplitCSRDataStructure *);
2297 #endif
2298 
2299 #ifdef PETSC_HAVE_CUDA
2300 /*E
2301     MatCUSPARSEStorageFormat - indicates the storage format for `MATAIJCUSPARSE` (GPU)
2302     matrices.
2303 
2304     Values:
2305 +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2306 .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2307 -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2308 
2309     Level: intermediate
2310 
2311 .seealso: [](chapter_matrices), `MATAIJCUSPARSE`, `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2312 E*/
2313 
2314 typedef enum {
2315   MAT_CUSPARSE_CSR,
2316   MAT_CUSPARSE_ELL,
2317   MAT_CUSPARSE_HYB
2318 } MatCUSPARSEStorageFormat;
2319 
2320 /* these will be strings associated with enumerated type defined above */
2321 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2322 
2323 /*E
2324     MatCUSPARSEFormatOperation - indicates the operation of `MATAIJCUSPARSE` (GPU)
2325     matrices whose operation should use a particular storage format.
2326 
2327     Values:
2328 +   `MAT_CUSPARSE_MULT_DIAG` - sets the storage format for the diagonal matrix in the parallel MatMult
2329 .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the offdiagonal matrix in the parallel MatMult
2330 .   `MAT_CUSPARSE_MULT` - sets the storage format for the entire matrix in the serial (single GPU) MatMult
2331 -   `MAT_CUSPARSE_ALL` - sets the storage format for all `MATAIJCUSPARSE` (GPU) matrices
2332 
2333     Level: intermediate
2334 
2335 .seealso: [](chapter_matrices), `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2336 E*/
2337 typedef enum {
2338   MAT_CUSPARSE_MULT_DIAG,
2339   MAT_CUSPARSE_MULT_OFFDIAG,
2340   MAT_CUSPARSE_MULT,
2341   MAT_CUSPARSE_ALL
2342 } MatCUSPARSEFormatOperation;
2343 
2344 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2345 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2346 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2347 PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2348 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2349 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2350 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2351 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2352 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2353 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2354 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2355 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);
2356 
2357 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2358 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2359 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2360 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2361 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2362 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2363 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2364 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2365 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2366 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2367 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2368 
2369 PETSC_EXTERN PetscErrorCode MatCreateSeqSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2370 PETSC_EXTERN PetscErrorCode MatCreateSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2371 #endif
2372 
2373 #ifdef PETSC_HAVE_HIP
2374 /*E
2375     MatHIPSPARSEStorageFormat - indicates the storage format for `MATAIJHIPSPARSE` (GPU)
2376     matrices.
2377 
2378     Level: intermediate
2379 
2380     Values:
2381 +   `MAT_HIPSPARSE_CSR` - Compressed Sparse Row
2382 .   `MAT_HIPSPARSE_ELL` - Ellpack
2383 -   `MAT_HIPSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format
2384 
2385 .seealso: [](chapter_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
2386 E*/
2387 
2388 typedef enum {
2389   MAT_HIPSPARSE_CSR,
2390   MAT_HIPSPARSE_ELL,
2391   MAT_HIPSPARSE_HYB
2392 } MatHIPSPARSEStorageFormat;
2393 
2394 /* these will be strings associated with enumerated type defined above */
2395 PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];
2396 
2397 /*E
2398     MatHIPSPARSEFormatOperation - indicates the operation of `MATAIJHIPSPARSE` (GPU)
2399     matrices whose operation should use a particular storage format.
2400 
2401     Level: intermediate
2402 
2403     Values:
2404 +   `MAT_HIPSPARSE_MULT_DIAG` - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2405 .   `MAT_HIPSPARSE_MULT_OFFDIAG` - sets the storage format for the offdiagonal matrix in the parallel `MatMul()t`
2406 .   `MAT_HIPSPARSE_MULT` - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2407 -   `MAT_HIPSPARSE_ALL` - sets the storage format for all HIPSPARSE (GPU) matrices
2408 
2409 .seealso: [](chapter_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
2410 E*/
2411 typedef enum {
2412   MAT_HIPSPARSE_MULT_DIAG,
2413   MAT_HIPSPARSE_MULT_OFFDIAG,
2414   MAT_HIPSPARSE_MULT,
2415   MAT_HIPSPARSE_ALL
2416 } MatHIPSPARSEFormatOperation;
2417 
2418 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2419 PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2420 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
2421 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
2422 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2423 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2424 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
2425 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
2426 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
2427 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
2428 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
2429 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);
2430 
2431 PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2432 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2433 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
2434 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
2435 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
2436 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
2437 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
2438 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
2439 PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
2440 PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
2441 PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);
2442 #endif
2443 
2444 #if defined(PETSC_HAVE_VIENNACL)
2445 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2446 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2447 #endif
2448 
2449 #if defined(PETSC_HAVE_FFTW)
2450 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2451 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2452 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2453 #endif
2454 
2455 #if defined(PETSC_HAVE_SCALAPACK)
2456 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2457 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2458 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2459 #endif
2460 
2461 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2462 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2463 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2464 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2465 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2466 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2467 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2468 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2469 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);
2470 
2471 PETSC_EXTERN PetscErrorCode MatChop(Mat, PetscReal);
2472 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);
2473 
2474 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);
2475 
2476 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);
2477 
2478 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2479 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);
2480 
2481 PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);
2482 
2483 PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, Mat *);
2484 PETSC_EXTERN PetscErrorCode MatEliminateZeros(Mat);
2485 
2486 PETSC_EXTERN PetscErrorCode VecCreateMatDense(Vec, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar *, Mat *);
2487 #endif
2488