xref: /petsc/include/petscmat.h (revision 708be2fd6fbd921084e57ad1edb199f4d80d0ecb)
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 MATDUMMY                     "dummy"
120 #define MATLMVM                      "lmvm"
121 #define MATLMVMDFP                   "lmvmdfp"
122 #define MATLMVMBFGS                  "lmvmbfgs"
123 #define MATLMVMSR1                   "lmvmsr1"
124 #define MATLMVMBROYDEN               "lmvmbroyden"
125 #define MATLMVMBADBROYDEN            "lmvmbadbroyden"
126 #define MATLMVMSYMBROYDEN            "lmvmsymbroyden"
127 #define MATLMVMSYMBADBROYDEN         "lmvmsymbadbroyden"
128 #define MATLMVMDIAGBROYDEN           "lmvmdiagbroyden"
129 #define MATCONSTANTDIAGONAL          "constantdiagonal"
130 #define MATHTOOL                     "htool"
131 #define MATH2OPUS                    "h2opus"
132 
133 /*J
134     MatSolverType - String with the name of a PETSc matrix solver type.
135 
136     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
137 
138    Level: beginner
139 
140    Note:
141    `MATSOLVERUMFPACK`, `MATSOLVERCHOLMOD`, `MATSOLVERKLU`, `MATSOLVERSPQR` form the SuiteSparse package for which you can use --download-suitesparse
142 
143 .seealso: [](sec_matfactor), [](chapter_matrices), `MatGetFactor()`, `PCFactorSetMatSolverType()`, `PCFactorGetMatSolverType()`
144 J*/
145 typedef const char *MatSolverType;
146 #define MATSOLVERSUPERLU       "superlu"
147 #define MATSOLVERSUPERLU_DIST  "superlu_dist"
148 #define MATSOLVERSTRUMPACK     "strumpack"
149 #define MATSOLVERUMFPACK       "umfpack"
150 #define MATSOLVERCHOLMOD       "cholmod"
151 #define MATSOLVERKLU           "klu"
152 #define MATSOLVERELEMENTAL     "elemental"
153 #define MATSOLVERSCALAPACK     "scalapack"
154 #define MATSOLVERESSL          "essl"
155 #define MATSOLVERLUSOL         "lusol"
156 #define MATSOLVERMUMPS         "mumps"
157 #define MATSOLVERMKL_PARDISO   "mkl_pardiso"
158 #define MATSOLVERMKL_CPARDISO  "mkl_cpardiso"
159 #define MATSOLVERPASTIX        "pastix"
160 #define MATSOLVERMATLAB        "matlab"
161 #define MATSOLVERPETSC         "petsc"
162 #define MATSOLVERBAS           "bas"
163 #define MATSOLVERCUSPARSE      "cusparse"
164 #define MATSOLVERCUSPARSEBAND  "cusparseband"
165 #define MATSOLVERCUDA          "cuda"
166 #define MATSOLVERHIPSPARSE     "hipsparse"
167 #define MATSOLVERHIPSPARSEBAND "hipsparseband"
168 #define MATSOLVERHIP           "hip"
169 #define MATSOLVERKOKKOS        "kokkos"
170 #define MATSOLVERKOKKOSDEVICE  "kokkosdevice"
171 #define MATSOLVERSPQR          "spqr"
172 
173 /*E
174     MatFactorType - indicates what type of factorization is requested
175 
176     Level: beginner
177 
178     Values:
179 +  `MAT_FACTOR_LU` - LU factorization
180 .  `MAT_FACTOR_CHOLESKY` - Cholesky factorization
181 .  `MAT_FACTOR_ILU` - ILU factorization
182 .  `MAT_FACTOR_ICC` - incomplete Cholesky factorization
183 .  `MAT_FACTOR_ILUDT` - ILU factorization with drop tolerance
184 -  `MAT_FACTOR_QR` - QR factorization
185 
186 .seealso: [](chapter_matrices), `MatSolverType`, `MatGetFactor()`, `MatGetFactorAvailable()`, `MatSolverTypeRegister()`
187 E*/
188 typedef enum {
189   MAT_FACTOR_NONE,
190   MAT_FACTOR_LU,
191   MAT_FACTOR_CHOLESKY,
192   MAT_FACTOR_ILU,
193   MAT_FACTOR_ICC,
194   MAT_FACTOR_ILUDT,
195   MAT_FACTOR_QR,
196   MAT_FACTOR_NUM_TYPES
197 } MatFactorType;
198 PETSC_EXTERN const char *const MatFactorTypes[];
199 
200 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat, MatSolverType, MatFactorType, Mat *);
201 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat, MatSolverType, MatFactorType, PetscBool *);
202 PETSC_EXTERN PetscErrorCode MatFactorGetCanUseOrdering(Mat, PetscBool *);
203 PETSC_DEPRECATED_FUNCTION("Use MatFactorGetCanUseOrdering() (since version 3.15)") static inline PetscErrorCode MatFactorGetUseOrdering(Mat A, PetscBool *b)
204 {
205   return MatFactorGetCanUseOrdering(A, b);
206 }
207 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat, MatSolverType *);
208 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat, MatFactorType *);
209 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat, MatFactorType);
210 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatSolverFunction)(Mat, MatFactorType, Mat *);
211 PETSC_EXTERN PetscErrorCode            MatSolverTypeRegister(MatSolverType, MatType, MatFactorType, MatSolverFunction);
212 PETSC_EXTERN PetscErrorCode            MatSolverTypeGet(MatSolverType, MatType, MatFactorType, PetscBool *, PetscBool *, MatSolverFunction *);
213 typedef MatSolverType MatSolverPackage PETSC_DEPRECATED_TYPEDEF("Use MatSolverType (since version 3.9)");
214 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeRegister() (since version 3.9)") static inline PetscErrorCode MatSolverPackageRegister(MatSolverType stype, MatType mtype, MatFactorType ftype, MatSolverFunction f)
215 {
216   return MatSolverTypeRegister(stype, mtype, ftype, f);
217 }
218 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)
219 {
220   return MatSolverTypeGet(stype, mtype, ftype, foundmtype, foundstype, f);
221 }
222 
223 /*E
224     MatProductType - indicates what type of matrix product is requested
225 
226     Level: beginner
227 
228     Values:
229 +  `MATPRODUCT_AB` - product of two matrices
230 .  `MATPRODUCT_AtB` - product of the transpose of a given matrix with a matrix
231 .  `MATPRODUCT_ABt` - product of a matrix with the transpose of another given matrix
232 .  `MATPRODUCT_PtAP` - the triple product of the transpose of a matrix with another matrix and itself
233 .  `MATPRODUCT_RARt` - the triple product of a matrix, another matrix and the transpose of the first matrix
234 -  `MATPRODUCT_ABC` - the product of three matrices
235 
236 .seealso: [](sec_matmatproduct), [](chapter_matrices), `MatProductSetType()`
237 E*/
238 typedef enum {
239   MATPRODUCT_UNSPECIFIED = 0,
240   MATPRODUCT_AB,
241   MATPRODUCT_AtB,
242   MATPRODUCT_ABt,
243   MATPRODUCT_PtAP,
244   MATPRODUCT_RARt,
245   MATPRODUCT_ABC
246 } MatProductType;
247 PETSC_EXTERN const char *const MatProductTypes[];
248 
249 /*J
250     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
251 
252    Level: beginner
253 
254 .seealso: [](sec_matmatproduct), [](chapter_matrices), `MatSetType()`, `Mat`, `MatProductSetAlgorithm()`, `MatProductType`
255 J*/
256 typedef const char *MatProductAlgorithm;
257 #define MATPRODUCTALGORITHMDEFAULT         "default"
258 #define MATPRODUCTALGORITHMSORTED          "sorted"
259 #define MATPRODUCTALGORITHMSCALABLE        "scalable"
260 #define MATPRODUCTALGORITHMSCALABLEFAST    "scalable_fast"
261 #define MATPRODUCTALGORITHMHEAP            "heap"
262 #define MATPRODUCTALGORITHMBHEAP           "btheap"
263 #define MATPRODUCTALGORITHMLLCONDENSED     "llcondensed"
264 #define MATPRODUCTALGORITHMROWMERGE        "rowmerge"
265 #define MATPRODUCTALGORITHMOUTERPRODUCT    "outerproduct"
266 #define MATPRODUCTALGORITHMATB             "at*b"
267 #define MATPRODUCTALGORITHMRAP             "rap"
268 #define MATPRODUCTALGORITHMNONSCALABLE     "nonscalable"
269 #define MATPRODUCTALGORITHMSEQMPI          "seqmpi"
270 #define MATPRODUCTALGORITHMBACKEND         "backend"
271 #define MATPRODUCTALGORITHMOVERLAPPING     "overlapping"
272 #define MATPRODUCTALGORITHMMERGED          "merged"
273 #define MATPRODUCTALGORITHMALLATONCE       "allatonce"
274 #define MATPRODUCTALGORITHMALLATONCEMERGED "allatonce_merged"
275 #define MATPRODUCTALGORITHMALLGATHERV      "allgatherv"
276 #define MATPRODUCTALGORITHMCYCLIC          "cyclic"
277 #if defined(PETSC_HAVE_HYPRE)
278   #define MATPRODUCTALGORITHMHYPRE "hypre"
279 #endif
280 
281 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat, Mat, Mat, Mat *);
282 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat, Mat, Mat, Mat);
283 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat, MatProductType);
284 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat, MatProductAlgorithm);
285 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat, PetscReal);
286 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
287 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
288 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
289 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat, Mat, Mat, Mat);
290 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
291 PETSC_EXTERN PetscErrorCode MatProductView(Mat, PetscViewer);
292 PETSC_EXTERN PetscErrorCode MatProductGetType(Mat, MatProductType *);
293 PETSC_EXTERN PetscErrorCode MatProductGetMats(Mat, Mat *, Mat *, Mat *);
294 
295 /* Logging support */
296 #define MAT_FILE_CLASSID 1211216 /* used to indicate matrices in binary files */
297 PETSC_EXTERN PetscClassId MAT_CLASSID;
298 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
299 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
300 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
301 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
302 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
303 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
304 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
305 
306 /*E
307     MatReuse - Indicates if matrices obtained from a previous call to `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatConvert()` or several other functions
308      are to be reused to store the new matrix values.
309 
310    Values:
311 +  `MAT_INITIAL_MATRIX` - create a new matrix
312 .  `MAT_REUSE_MATRIX` - reuse the matrix created with a previous call that used `MAT_INITIAL_MATRIX`
313 .  `MAT_INPLACE_MATRIX` - replace the first input matrix with the new matrix (not applicable to all functions)
314 -  `MAT_IGNORE_MATRIX` - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
315 
316     Level: beginner
317 
318 .seealso: [](chapter_matrices), `Mat`, `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatDestroyMatrices()`, `MatConvert()`
319 E*/
320 typedef enum {
321   MAT_INITIAL_MATRIX,
322   MAT_REUSE_MATRIX,
323   MAT_IGNORE_MATRIX,
324   MAT_INPLACE_MATRIX
325 } MatReuse;
326 
327 /*E
328     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to `MatCreateSubMatrices()`
329      include the matrix values. Currently it is only used by `MatGetSeqNonzeroStructure()`.
330 
331     Level: developer
332 
333     Values:
334 +  `MAT_DO_NOT_GET_VALUES` - do not copy the matrix values
335 -  `MAT_GET_VALUES` - copy the matrix values
336 
337     Developer Note:
338     Why is not just a boolean used for this information?
339 
340 .seealso: [](chapter_matrices), `Mat`, `MatDuplicateOption`, `PetscCopyMode`, `MatGetSeqNonzeroStructure()`
341 E*/
342 typedef enum {
343   MAT_DO_NOT_GET_VALUES,
344   MAT_GET_VALUES
345 } MatCreateSubMatrixOption;
346 
347 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
348 
349 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm, Mat *);
350 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat, PetscInt, PetscInt, PetscInt, PetscInt);
351 PETSC_EXTERN PetscErrorCode MatSetType(Mat, MatType);
352 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat, VecType *);
353 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat, VecType);
354 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
355 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat, PetscObject, const char[]);
356 PETSC_EXTERN PetscErrorCode MatRegister(const char[], PetscErrorCode (*)(Mat));
357 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[], const char[], const char[]);
358 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat, const char[]);
359 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefixFactor(Mat, const char[]);
360 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefixFactor(Mat, const char[]);
361 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat, const char[]);
362 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat, const char *[]);
363 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat, PetscBool);
364 
365 PETSC_EXTERN PetscFunctionList MatList;
366 PETSC_EXTERN PetscFunctionList MatColoringList;
367 PETSC_EXTERN PetscFunctionList MatPartitioningList;
368 
369 /*E
370     MatStructure - Indicates if two matrices have the same nonzero structure
371 
372     Level: beginner
373 
374    Values:
375 +  `SAME_NONZERO_PATTERN`  - the two matrices have identical nonzero patterns
376 .  `DIFFERENT_NONZERO_PATTERN` - the two matrices may have different nonzero patterns
377 .  `SUBSET_NONZERO_PATTERN` - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
378 -  `UNKNOWN_NONZERO_PATTERN` - there is no known relationship between the nonzero patterns. In this case the implementations
379                                may try to detect a relationship to optimize the operation
380 
381 .seealso: [](chapter_matrices), `Mat`, `MatCopy()`, `MatAXPY()`, `MatAYPX()`
382 E*/
383 typedef enum {
384   DIFFERENT_NONZERO_PATTERN,
385   SUBSET_NONZERO_PATTERN,
386   SAME_NONZERO_PATTERN,
387   UNKNOWN_NONZERO_PATTERN
388 } MatStructure;
389 PETSC_EXTERN const char *const MatStructures[];
390 
391 #if defined                 PETSC_HAVE_MKL_SPARSE
392 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
393 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
394 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
395 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
396 #endif
397 
398 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
399 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
400 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat, PetscInt, const PetscInt[]);
401 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
402 
403 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
404 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
405 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
406 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
407 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
408 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
409 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArray(Mat, const PetscScalar[]);
410 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], PetscInt[], PetscInt[], PetscScalar[], Mat *);
411 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm, Mat, Mat, const PetscInt[], Mat *);
412 
413 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
414 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
415 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
416 
417 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat, PetscCount, PetscInt[], PetscInt[]);
418 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat, PetscCount, PetscInt[], PetscInt[]);
419 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat, const PetscScalar[], InsertMode);
420 
421 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscInt[], Mat *);
422 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
423 
424 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
425 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
426 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
427 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
428 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], const PetscInt[]);
429 
430 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, void *, Mat *);
431 PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm, PetscInt, PetscInt, Mat *);
432 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat, Mat *);
433 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat, Mat *);
434 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat, Mat, Vec, Mat, Mat *);
435 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat, Mat *, Mat *, Vec *, Mat *);
436 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, ISLocalToGlobalMapping, ISLocalToGlobalMapping, Mat *);
437 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
438 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
439 
440 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm, VecScatter, Mat *);
441 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat, VecScatter);
442 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat, VecScatter *);
443 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt *, Mat *);
444 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat, Mat);
445 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
446 typedef enum {
447   MAT_COMPOSITE_MERGE_RIGHT,
448   MAT_COMPOSITE_MERGE_LEFT
449 } MatCompositeMergeType;
450 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat, MatCompositeMergeType);
451 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm, PetscInt, const Mat *, Mat *);
452 typedef enum {
453   MAT_COMPOSITE_ADDITIVE,
454   MAT_COMPOSITE_MULTIPLICATIVE
455 } MatCompositeType;
456 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat, MatCompositeType);
457 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat, MatCompositeType *);
458 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat, MatStructure);
459 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat, MatStructure *);
460 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat, PetscInt *);
461 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat, PetscInt, Mat *);
462 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat, const PetscScalar *);
463 
464 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm, PetscInt, const PetscInt[], MatType, Mat *);
465 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm, PetscInt, const PetscInt[], Mat *);
466 
467 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat, Mat *);
468 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat, Mat *);
469 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat, Mat *);
470 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat, Mat *);
471 PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat, Mat *);
472 PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat, Mat *);
473 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat, IS, IS, Mat *);
474 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat, Mat, IS, IS);
475 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat, IS, IS, Mat *);
476 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar, Mat *);
477 
478 #if defined(PETSC_HAVE_HYPRE)
479 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
480 #endif
481 
482 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat, const char[]);
483 PETSC_EXTERN PetscErrorCode MatPythonGetType(Mat, const char *[]);
484 
485 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
486 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
487 PETSC_EXTERN PetscErrorCode MatDestroy(Mat *);
488 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat, PetscObjectState *);
489 
490 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
491 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
492 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
493 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat, Mat *);
494 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat, PetscScalar *);
495 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat, const PetscScalar **);
496 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat, PetscInt, const PetscInt *, PetscScalar *);
497 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat, Mat);
498 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat, MatReuse, Mat *);
499 
500 /* ------------------------------------------------------------*/
501 PETSC_EXTERN PetscErrorCode MatSetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
502 PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat, IS, IS, const PetscScalar[], InsertMode);
503 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
504 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat, PetscInt, const PetscScalar[]);
505 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat, PetscInt, const PetscScalar[]);
506 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt[], const PetscScalar[]);
507 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat, PetscRandom);
508 
509 /*S
510      MatStencil - Data structure (C struct) for storing information about rows and
511         columns of a matrix as indexed on an associated grid. These are arguments to `MatSetStencil()` and `MatSetBlockStencil()`
512 
513    Level: beginner
514 
515    Notes:
516    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).
517    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.
518 
519    For stencil access to vectors see `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`.
520 
521    For staggered grids, see `DMStagStencil`
522 
523    Fortran Note:
524    See `MatSetValuesStencil()` for details.
525 
526 .seealso: [](chapter_matrices), `Mat`, `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`,
527           `DMStagStencil`
528 S*/
529 typedef struct {
530   PetscInt k, j, i, c;
531 } MatStencil;
532 
533 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
534 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
535 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat, PetscInt, const PetscInt[], const PetscInt[], PetscInt);
536 
537 /*E
538     MatAssemblyType - Indicates if the process of setting values into the matrix is complete, and the matrix is ready for use
539 
540     Level: beginner
541 
542     Values:
543 +   `MAT_FLUSH_ASSEMBLY` - you will continue to put values into the matrix
544 -   `MAT_FINAL_ASSEMBLY` - you wish to use the matrix with the values currently inserted
545 
546 .seealso: [](chapter_matrices), `Mat`, `MatSetValues`, `MatAssemblyBegin()`, `MatAssemblyEnd()`
547 E*/
548 typedef enum {
549   MAT_FLUSH_ASSEMBLY = 1,
550   MAT_FINAL_ASSEMBLY = 0
551 } MatAssemblyType;
552 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat, MatAssemblyType);
553 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat, MatAssemblyType);
554 PETSC_EXTERN PetscErrorCode MatAssembled(Mat, PetscBool *);
555 
556 /*E
557     MatOption - Options that may be set for a matrix that indicate properties of the matrix or affect its behavior or storage
558 
559     Level: beginner
560 
561    Note:
562    See `MatSetOption()` for the use of the options
563 
564    Developer Note:
565    Entries that are negative need not be called collectively by all processes.
566 
567 .seealso: [](chapter_matrices), `Mat`, `MatSetOption()`
568 E*/
569 typedef enum {
570   MAT_OPTION_MIN                  = -3,
571   MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
572   MAT_ROW_ORIENTED                = -1,
573   MAT_SYMMETRIC                   = 1,
574   MAT_STRUCTURALLY_SYMMETRIC      = 2,
575   MAT_FORCE_DIAGONAL_ENTRIES      = 3,
576   MAT_IGNORE_OFF_PROC_ENTRIES     = 4,
577   MAT_USE_HASH_TABLE              = 5,
578   MAT_KEEP_NONZERO_PATTERN        = 6,
579   MAT_IGNORE_ZERO_ENTRIES         = 7,
580   MAT_USE_INODES                  = 8,
581   MAT_HERMITIAN                   = 9,
582   MAT_SYMMETRY_ETERNAL            = 10,
583   MAT_NEW_NONZERO_LOCATION_ERR    = 11,
584   MAT_IGNORE_LOWER_TRIANGULAR     = 12,
585   MAT_ERROR_LOWER_TRIANGULAR      = 13,
586   MAT_GETROW_UPPERTRIANGULAR      = 14,
587   MAT_SPD                         = 15,
588   MAT_NO_OFF_PROC_ZERO_ROWS       = 16,
589   MAT_NO_OFF_PROC_ENTRIES         = 17,
590   MAT_NEW_NONZERO_LOCATIONS       = 18,
591   MAT_NEW_NONZERO_ALLOCATION_ERR  = 19,
592   MAT_SUBSET_OFF_PROC_ENTRIES     = 20,
593   MAT_SUBMAT_SINGLEIS             = 21,
594   MAT_STRUCTURE_ONLY              = 22,
595   MAT_SORTED_FULL                 = 23,
596   MAT_FORM_EXPLICIT_TRANSPOSE     = 24,
597   MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
598   MAT_SPD_ETERNAL                 = 26,
599   MAT_OPTION_MAX                  = 27
600 } MatOption;
601 
602 PETSC_EXTERN const char *const *MatOptions;
603 PETSC_EXTERN PetscErrorCode     MatSetOption(Mat, MatOption, PetscBool);
604 PETSC_EXTERN PetscErrorCode     MatGetOption(Mat, MatOption, PetscBool *);
605 PETSC_EXTERN PetscErrorCode     MatPropagateSymmetryOptions(Mat, Mat);
606 PETSC_EXTERN PetscErrorCode     MatGetType(Mat, MatType *);
607 
608 PETSC_EXTERN PetscErrorCode    MatGetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
609 PETSC_EXTERN PetscErrorCode    MatGetRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
610 PETSC_EXTERN PetscErrorCode    MatRestoreRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
611 PETSC_EXTERN PetscErrorCode    MatGetRowUpperTriangular(Mat);
612 PETSC_EXTERN PetscErrorCode    MatRestoreRowUpperTriangular(Mat);
613 PETSC_EXTERN PetscErrorCode    MatGetColumnVector(Mat, Vec, PetscInt);
614 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArray(Mat, PetscScalar *[]);
615 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayRead(Mat, const PetscScalar *[]);
616 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayWrite(Mat, PetscScalar *[]);
617 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArray(Mat, PetscScalar *[]);
618 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayRead(Mat, const PetscScalar *[]);
619 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayWrite(Mat, PetscScalar *[]);
620 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetMaxRowNonzeros(Mat, PetscInt *);
621 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetValuesLocalFast(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
622 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetType(Mat, MatType);
623 PETSC_EXTERN PetscErrorCode    MatSeqAIJKron(Mat, Mat, MatReuse, Mat *);
624 PETSC_EXTERN PetscErrorCode    MatSeqAIJRegister(const char[], PetscErrorCode (*)(Mat, MatType, MatReuse, Mat *));
625 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
626 PETSC_EXTERN PetscErrorCode    MatSeqBAIJGetArray(Mat, PetscScalar *[]);
627 PETSC_EXTERN PetscErrorCode    MatSeqBAIJRestoreArray(Mat, PetscScalar *[]);
628 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJGetArray(Mat, PetscScalar *[]);
629 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJRestoreArray(Mat, PetscScalar *[]);
630 PETSC_EXTERN PetscErrorCode    MatDenseGetArray(Mat, PetscScalar *[]);
631 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArray(Mat, PetscScalar *[]);
632 PETSC_EXTERN PetscErrorCode    MatDensePlaceArray(Mat, const PetscScalar[]);
633 PETSC_EXTERN PetscErrorCode    MatDenseReplaceArray(Mat, const PetscScalar[]);
634 PETSC_EXTERN PetscErrorCode    MatDenseResetArray(Mat);
635 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayRead(Mat, const PetscScalar *[]);
636 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayRead(Mat, const PetscScalar *[]);
637 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWrite(Mat, PetscScalar *[]);
638 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWrite(Mat, PetscScalar *[]);
639 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayAndMemType(Mat, PetscScalar *[], PetscMemType *);
640 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayAndMemType(Mat, PetscScalar *[]);
641 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayReadAndMemType(Mat, const PetscScalar *[], PetscMemType *);
642 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayReadAndMemType(Mat, const PetscScalar *[]);
643 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWriteAndMemType(Mat, PetscScalar *[], PetscMemType *);
644 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWriteAndMemType(Mat, PetscScalar *[]);
645 PETSC_EXTERN PetscErrorCode    MatGetBlockSize(Mat, PetscInt *);
646 PETSC_EXTERN PetscErrorCode    MatSetBlockSize(Mat, PetscInt);
647 PETSC_EXTERN PetscErrorCode    MatGetBlockSizes(Mat, PetscInt *, PetscInt *);
648 PETSC_EXTERN PetscErrorCode    MatSetBlockSizes(Mat, PetscInt, PetscInt);
649 PETSC_EXTERN PetscErrorCode    MatSetBlockSizesFromMats(Mat, Mat, Mat);
650 PETSC_EXTERN PetscErrorCode    MatSetVariableBlockSizes(Mat, PetscInt, PetscInt *);
651 PETSC_EXTERN PetscErrorCode    MatGetVariableBlockSizes(Mat, PetscInt *, const PetscInt **);
652 
653 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat, PetscInt, PetscScalar *[]);
654 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat, PetscScalar *[]);
655 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat, PetscInt, Vec *);
656 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat, PetscInt, Vec *);
657 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat, PetscInt, Vec *);
658 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat, PetscInt, Vec *);
659 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat, PetscInt, Vec *);
660 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat, PetscInt, Vec *);
661 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
662 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat, Mat *);
663 
664 PETSC_EXTERN PetscErrorCode MatMult(Mat, Vec, Vec);
665 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat, Vec, Vec);
666 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat, Vec, Vec, Vec);
667 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat, Vec, Vec);
668 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat, Vec, Vec);
669 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat, Mat, PetscReal, PetscBool *);
670 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat, Mat, PetscReal, PetscBool *);
671 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat, Vec, Vec, Vec);
672 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat, Vec, Vec, Vec);
673 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat, Mat, Mat);
674 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat, Mat, Mat);
675 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat, Mat, Mat);
676 PETSC_EXTERN PetscErrorCode MatResidual(Mat, Vec, Vec, Vec);
677 
678 /*E
679     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
680   its numerical values copied over or just its nonzero structure.
681 
682     Level: beginner
683 
684     Values:
685 +   `MAT_DO_NOT_COPY_VALUES`    - Create a matrix using the same nonzero pattern as the original matrix,
686                                with zeros for the numerical values
687 .   `MAT_COPY_VALUES`           - Create a matrix with the same nonzero pattern as the original matrix
688                                and with the same numerical values.
689 -   `MAT_SHARE_NONZERO_PATTERN` - Create a matrix that shares the nonzero structure with the previous matrix
690                                and does not copy it, using zeros for the numerical values. The parent and
691                                child matrices will share their index (i and j) arrays, and you cannot
692                                insert new nonzero entries into either matrix
693 
694   Note:
695   Many matrix types (including `MATSEQAIJ`) do not support the `MAT_SHARE_NONZERO_PATTERN` optimization; in
696   this case the behavior is as if `MAT_DO_NOT_COPY_VALUES` has been specified.
697 
698 .seealso: [](chapter_matrices), `Mat`, `MatDuplicate()`
699 E*/
700 typedef enum {
701   MAT_DO_NOT_COPY_VALUES,
702   MAT_COPY_VALUES,
703   MAT_SHARE_NONZERO_PATTERN
704 } MatDuplicateOption;
705 
706 PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
707 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);
708 
709 PETSC_EXTERN PetscErrorCode MatCopy(Mat, Mat, MatStructure);
710 PETSC_EXTERN PetscErrorCode MatView(Mat, PetscViewer);
711 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat, PetscReal, PetscBool *);
712 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat, PetscBool *);
713 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat, PetscReal, PetscBool *);
714 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat, PetscBool *, PetscBool *);
715 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat, PetscBool *, PetscBool *);
716 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat, PetscBool *, PetscBool *);
717 PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat, PetscBool *, PetscBool *);
718 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat, PetscBool *, PetscInt *);
719 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
720 
721 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
722 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
723 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
724 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
725 
726 /*S
727      MatInfo - Context of matrix information, used with `MatGetInfo()`
728 
729    Level: intermediate
730 
731    Fortran Note:
732    Information is stored as a double-precision array of dimension `MAT_INFO_SIZE`
733 
734 .seealso: [](chapter_matrices), `Mat`, `MatGetInfo()`, `MatInfoType`
735 S*/
736 typedef struct {
737   PetscLogDouble block_size;                          /* block size */
738   PetscLogDouble nz_allocated, nz_used, nz_unneeded;  /* number of nonzeros */
739   PetscLogDouble memory;                              /* memory allocated */
740   PetscLogDouble assemblies;                          /* number of matrix assemblies called */
741   PetscLogDouble mallocs;                             /* number of mallocs during MatSetValues() */
742   PetscLogDouble fill_ratio_given, fill_ratio_needed; /* fill ratio for LU/ILU */
743   PetscLogDouble factor_mallocs;                      /* number of mallocs during factorization */
744 } MatInfo;
745 
746 /*E
747     MatInfoType - Indicates if you want information about the local part of the matrix,
748      the entire parallel matrix or the maximum over all the local parts.
749 
750     Level: beginner
751 
752     Values:
753 +   `MAT_LOCAL` - values for each MPI process part of the matrix
754 .   `MAT_GLOBAL_MAX` - maximum of each value over all MPI processes
755 -   `MAT_GLOBAL_SUM` - sum of each value over all MPI processes
756 
757 .seealso: [](chapter_matrices), `MatGetInfo()`, `MatInfo`
758 E*/
759 typedef enum {
760   MAT_LOCAL      = 1,
761   MAT_GLOBAL_MAX = 2,
762   MAT_GLOBAL_SUM = 3
763 } MatInfoType;
764 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat, MatInfoType, MatInfo *);
765 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat, Vec);
766 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat, Vec, PetscInt[]);
767 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat, Vec, PetscInt[]);
768 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat, Vec, PetscInt[]);
769 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat, Vec, PetscInt[]);
770 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat, Vec);
771 PETSC_EXTERN PetscErrorCode MatTranspose(Mat, MatReuse, Mat *);
772 PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat, Mat *);
773 PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat, Mat);
774 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat, MatReuse, Mat *);
775 PETSC_EXTERN PetscErrorCode MatPermute(Mat, IS, IS, Mat *);
776 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat, Vec, Vec);
777 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat, Vec, InsertMode);
778 
779 PETSC_EXTERN PetscErrorCode MatEqual(Mat, Mat, PetscBool *);
780 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat, Mat, PetscInt, PetscBool *);
781 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat, Mat, PetscInt, PetscBool *);
782 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
783 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
784 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
785 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
786 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
787 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
788 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
789 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
790 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
791 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat, PetscInt, PetscBool *);
792 
793 PETSC_EXTERN PetscErrorCode MatNorm(Mat, NormType, PetscReal *);
794 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat, NormType, PetscReal *);
795 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat, PetscScalar *);
796 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat, PetscReal *);
797 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat, PetscReal *);
798 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat, PetscScalar *);
799 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat, PetscReal *);
800 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat, PetscReal *);
801 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat, PetscInt, PetscReal *);
802 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
803 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
804 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
805 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat, IS, PetscScalar, Vec, Vec);
806 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
807 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
808 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
809 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat, IS, PetscScalar, Vec, Vec);
810 
811 PETSC_EXTERN PetscErrorCode MatGetSize(Mat, PetscInt *, PetscInt *);
812 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat, PetscInt *, PetscInt *);
813 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat, PetscInt *, PetscInt *);
814 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat, const PetscInt **);
815 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat, PetscInt *, PetscInt *);
816 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat, const PetscInt **);
817 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat, IS *, IS *);
818 
819 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
820 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[])
821 {
822   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
823 }
824 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
825 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[])
826 {
827   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
828 }
829 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
830 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
831 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
832 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatrix() (since version 3.8)") static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat)
833 {
834   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
835 }
836 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
837 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
838 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
839 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);
840 
841 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm, Mat, PetscInt, PetscInt, MatReuse, Mat *);
842 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm, Mat, PetscInt, PetscInt, Mat *);
843 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat, Mat);
844 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat, MatReuse, Mat *);
845 PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat, Mat *);
846 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
847 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat, MatReuse, IS *, Mat *);
848 PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat, PetscCount *);
849 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat, Mat, MatReuse, IS *, IS *, Mat *);
850 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *, const PetscInt *[]);
851 
852 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
853 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat, PetscInt n, IS is[], PetscInt ov);
854 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);
855 
856 PETSC_EXTERN PetscErrorCode MatMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
857 
858 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
859 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
860 
861 PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
862 PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);
863 
864 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
865 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);
866 
867 PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
868 PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);
869 
870 PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
871 PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);
872 
873 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping, ISLocalToGlobalMapping);
874 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
875 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat, PetscLayout *, PetscLayout *);
876 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat, PetscLayout, PetscLayout);
877 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
878 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
879 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
880 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
881 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
882 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
883 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
884 
885 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
886 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);
887 
888 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat, Vec, Vec);
889 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat, Vec, Vec, Vec);
890 PETSC_EXTERN PetscErrorCode MatRestrict(Mat, Vec, Vec);
891 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat, Mat, Mat *);
892 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat, Mat, Mat, Mat *);
893 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat, Mat, Mat *);
894 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat, Vec *, Vec *);
895 PETSC_DEPRECATED_FUNCTION("Use MatCreateVecs() (since version 3.6)") static inline PetscErrorCode MatGetVecs(Mat mat, Vec *x, Vec *y)
896 {
897   return MatCreateVecs(mat, x, y);
898 }
899 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat, PetscInt, MPI_Comm, MatReuse, Mat *);
900 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat, MPI_Comm, MatReuse, Mat *);
901 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat, IS *);
902 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat, IS *);
903 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm, Mat, PetscInt, MatReuse, Mat *);
904 
905 /*MC
906    MatSetValue - Set a single entry into a matrix.
907 
908    Not Collective
909 
910    Synopsis:
911      #include <petscmat.h>
912      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
913 
914    Input Parameters:
915 +  m - the matrix
916 .  row - the row location of the entry
917 .  col - the column location of the entry
918 .  value - the value to insert
919 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
920 
921    Level: beginner
922 
923    Note:
924    For efficiency one should use `MatSetValues()` and set several values simultaneously.
925 
926 .seealso: [](chapter_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd`, `InsertMode`, `MatGetValue()`, `MatSetValues()`,
927           `MatSetValueLocal()`, `MatSetValuesLocal()`
928 M*/
929 static inline PetscErrorCode MatSetValue(Mat v, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
930 {
931   return MatSetValues(v, 1, &i, 1, &j, &va, mode);
932 }
933 
934 /*@C
935    MatGetValue - Gets a single value from a matrix
936 
937    Not Collective; can only return a value owned by the given process
938 
939    Input Parameters:
940 +  mat - the matrix
941 .  row - the row location of the entry
942 -  col - the column location of the entry
943 
944    Output Parameter:
945 .  va - the value
946 
947    Level: advanced
948 
949    Notes:
950    The matrix must have been assembled with `MatAssemblyBegin()` and `MatAssemblyEnd` before this call
951 
952    For efficiency one should use `MatGetValues()` and get several values simultaneously.
953 
954    See notes for `MatGetValues()`.
955 
956 .seealso: [](chapter_matrices),  `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd`, `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
957 @*/
958 static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
959 {
960   return MatGetValues(mat, 1, &row, 1, &col, va);
961 }
962 
963 /*MC
964    MatSetValueLocal - Inserts or adds a single value into a matrix, using a local numbering of the nodes.
965 
966    Not Collective
967 
968    Input Parameters:
969 +  m - the matrix
970 .  row - the row location of the entry
971 .  col - the column location of the entry
972 .  value - the value to insert
973 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
974 
975    Level: intermediate
976 
977    Notes:
978    For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.
979 
980    See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.
981 
982 .seealso: [](chapter_matrices), `MatSetValue()`, `MatSetValuesLocal()`
983 M*/
984 static inline PetscErrorCode MatSetValueLocal(Mat v, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
985 {
986   return MatSetValuesLocal(v, 1, &i, 1, &j, &va, mode);
987 }
988 
989 /*MC
990    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
991        row in a matrix providing the data that one can use to correctly preallocate the matrix.
992 
993    Synopsis:
994    #include <petscmat.h>
995    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
996 
997    Collective
998 
999    Input Parameters:
1000 +  comm - the communicator that will share the eventually allocated matrix
1001 .  nrows - the number of LOCAL rows in the matrix
1002 -  ncols - the number of LOCAL columns in the matrix
1003 
1004    Output Parameters:
1005 +  dnz - the array that will be passed to the matrix preallocation routines
1006 -  onz - the other array passed to the matrix preallocation routines
1007 
1008    Level: deprecated (since v3.19)
1009 
1010    Notes:
1011    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1012    the use of this routine
1013 
1014    This is a macro that handles its own error checking, it does not return an error code.
1015 
1016    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1017 
1018    Developer Note:
1019     This is a MACRO not a function because it has a leading { that is closed by `PetscPreallocateFinalize()`.
1020 
1021 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1022           `MatPreallocateSymmetricSetLocalBlock()`
1023 M*/
1024 #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
1025   do { \
1026     PetscInt              __nrows = (nrows), __ncols = (ncols), __rstart, __end = 0; \
1027     PetscInt PETSC_UNUSED __start; \
1028     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
1029     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
1030     __start = __end - __ncols; \
1031     (void)__start; \
1032     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
1033   __rstart -= __nrows
1034 
1035 #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateBegin() (since version 3.18)\"") MatPreallocateBegin(__VA_ARGS__)
1036 
1037 /*MC
1038    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1039        inserted using a local number of the rows and columns
1040 
1041    Synopsis:
1042    #include <petscmat.h>
1043    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1044 
1045    Not Collective
1046 
1047    Input Parameters:
1048 +  map - the row mapping from local numbering to global numbering
1049 .  nrows - the number of rows indicated
1050 .  rows - the indices of the rows
1051 .  cmap - the column mapping from local to global numbering
1052 .  ncols - the number of columns in the matrix
1053 .  cols - the columns indicated
1054 .  dnz - the array that will be passed to the matrix preallocation routines
1055 -  onz - the other array passed to the matrix preallocation routines
1056 
1057    Level: deprecated (since v3.19)
1058 
1059    Notes:
1060    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1061    the use of this routine
1062 
1063    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1064 
1065 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1066           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
1067 M*/
1068 #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1069   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));)
1070 
1071 /*MC
1072    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1073        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
1074 
1075    Synopsis:
1076    #include <petscmat.h>
1077    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1078 
1079    Not Collective
1080 
1081    Input Parameters:
1082 +  map - the row mapping from local numbering to global numbering
1083 .  nrows - the number of rows indicated
1084 .  rows - the indices of the rows (these values are mapped to the global values)
1085 .  cmap - the column mapping from local to global numbering
1086 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1087 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1088 .  dnz - the array that will be passed to the matrix preallocation routines
1089 -  onz - the other array passed to the matrix preallocation routines
1090 
1091    Level: deprecated (since v3.19)
1092 
1093    Notes:
1094    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1095    the use of this routine
1096 
1097    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1098 
1099 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1100           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1101 M*/
1102 #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1103   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));)
1104 
1105 /*MC
1106    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1107        inserted using a local number of the rows and columns
1108 
1109    Synopsis:
1110    #include <petscmat.h>
1111    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1112 
1113    Not Collective
1114 
1115    Input Parameters:
1116 +  map - the row mapping from local numbering to global numbering
1117 .  nrows - the number of rows indicated
1118 .  rows - the indices of the rows
1119 .  cmap - the column mapping from local to global numbering
1120 .  ncols - the number of columns in the matrix
1121 .  cols - the columns indicated
1122 .  dnz - the array that will be passed to the matrix preallocation routines
1123 -  onz - the other array passed to the matrix preallocation routines
1124 
1125    Level: deprecated (since v3.19)
1126 
1127    Notes:
1128    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1129    the use of this routine
1130 
1131    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1132 
1133 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1134           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1135 M*/
1136 #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1137   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));)
1138 
1139 /*MC
1140    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1141        inserted using a local number of the rows and columns
1142 
1143    Synopsis:
1144    #include <petscmat.h>
1145    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1146 
1147    Not Collective
1148 
1149    Input Parameters:
1150 +  map - the mapping between local numbering and global numbering
1151 .  nrows - the number of rows indicated
1152 .  rows - the indices of the rows
1153 .  ncols - the number of columns in the matrix
1154 .  cols - the columns indicated
1155 .  dnz - the array that will be passed to the matrix preallocation routines
1156 -  onz - the other array passed to the matrix preallocation routines
1157 
1158    Level: deprecated (since v3.19)
1159 
1160    Notes:
1161    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1162    the use of this routine
1163 
1164    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1165 
1166 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`
1167           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1168 M*/
1169 #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1170   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));)
1171 
1172 /*MC
1173    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1174        inserted using a local number of the rows and columns
1175 
1176    Synopsis:
1177    #include <petscmat.h>
1178    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1179 
1180    Not Collective
1181 
1182    Input Parameters:
1183 +  row - the row
1184 .  ncols - the number of columns in the matrix
1185 -  cols - the columns indicated
1186 
1187    Output Parameters:
1188 +  dnz - the array that will be passed to the matrix preallocation routines
1189 -  onz - the other array passed to the matrix preallocation routines
1190 
1191    Level: deprecated (since v3.19)
1192 
1193    Notes:
1194    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1195    the use of this routine
1196 
1197    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1198 
1199    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1200 
1201 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1202           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1203 M*/
1204 #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1205   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) { \
1206     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1207     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1208   })
1209 
1210 /*MC
1211    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1212        inserted using a local number of the rows and columns
1213 
1214    Synopsis:
1215    #include <petscmat.h>
1216    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1217 
1218    Not Collective
1219 
1220    Input Parameters:
1221 +  nrows - the number of rows indicated
1222 .  rows - the indices of the rows
1223 .  ncols - the number of columns in the matrix
1224 .  cols - the columns indicated
1225 .  dnz - the array that will be passed to the matrix preallocation routines
1226 -  onz - the other array passed to the matrix preallocation routines
1227 
1228    Level: deprecated (since v3.19)
1229 
1230    Notes:
1231    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1232    the use of this routine
1233 
1234    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1235 
1236    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1237 
1238 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1239           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1240 M*/
1241 #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1242   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
1243     if (cols[__i] >= __end) onz[row - __rstart]++; \
1244     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1245   })
1246 
1247 /*MC
1248    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1249 
1250    Synopsis:
1251    #include <petscmat.h>
1252    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1253 
1254    Not Collective
1255 
1256    Input Parameters:
1257 +  A - matrix
1258 .  row - row where values exist (must be local to this process)
1259 .  ncols - number of columns
1260 .  cols - columns with nonzeros
1261 .  dnz - the array that will be passed to the matrix preallocation routines
1262 -  onz - the other array passed to the matrix preallocation routines
1263 
1264    Level: deprecated (since v3.19)
1265 
1266    Notes:
1267    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1268    the use of this routine
1269 
1270    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1271 
1272    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
1273 
1274 .seealso: [](chapter_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1275           `MatPreallocateSymmetricSetLocalBlock()`
1276 M*/
1277 #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))
1278 
1279 /*MC
1280    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1281        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1282 
1283    Synopsis:
1284    #include <petscmat.h>
1285    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)
1286 
1287    Collective
1288 
1289    Input Parameters:
1290 +  dnz - the array that was be passed to the matrix preallocation routines
1291 -  onz - the other array passed to the matrix preallocation routines
1292 
1293    Level: deprecated (since v3.19)
1294 
1295    Notes:
1296    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1297    the use of this routine
1298 
1299    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1300 
1301    Developer Note:
1302     This is a MACRO not a function because it closes the { started in MatPreallocateBegin().
1303 
1304 .seealso: [](chapter_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1305           `MatPreallocateSymmetricSetLocalBlock()`
1306 M*/
1307 #define MatPreallocateEnd(dnz, onz) \
1308   PetscCall(PetscFree2(dnz, onz)); \
1309   } \
1310   while (0)
1311 
1312 #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateEnd() (since version 3.18)\"") MatPreallocateEnd(__VA_ARGS__)
1313 
1314 /* Routines unique to particular data structures */
1315 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, void *);
1316 
1317 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1318 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);
1319 
1320 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1321 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1322 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1323 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1324 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1325 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscInt, PetscBool);
1326 
1327 #define MAT_SKIP_ALLOCATION -4
1328 
1329 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1330 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1331 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1332 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);
1333 
1334 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1335 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1336 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1337 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1338 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1339 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1340 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1341 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1342 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1343 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1344 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1345 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1346 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1347 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1348 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);
1349 
1350 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1351 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1352 PETSC_DEPRECATED_FUNCTION("Use MatDenseSetLDA() (since version 3.14)") static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
1353 {
1354   return MatDenseSetLDA(A, lda);
1355 }
1356 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);
1357 
1358 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1359 
1360 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1361 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1362 
1363 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1364 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1365 /*
1366   These routines are not usually accessed directly, rather solving is
1367   done through the KSP and PC interfaces.
1368 */
1369 
1370 /*J
1371     MatOrderingType - String with the name of a PETSc matrix ordering. These orderings are most commonly used
1372     to reduce fill in sparse factorizations.
1373 
1374    Level: beginner
1375 
1376    Notes:
1377    If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and instead the external package called utilizes one
1378    in the external the factorization package
1379 
1380    There is no `MatOrdering` object, the ordering is obtained directly from the matrix with `MatGetOrdering()`
1381 
1382    Developer Note:
1383    This API should be converted to an API similar to those for `MatColoring` and `MatPartitioning`
1384 
1385 .seealso: [](chapter_matrices), [](sec_graph), `MatGetFactor()`, `MatGetOrdering()`, `MatColoringType`, `MatPartitioningType`, `MatCoarsenType`, `MatCoarsenType`,
1386           `PCFactorSetOrderingType()`
1387 J*/
1388 typedef const char *MatOrderingType;
1389 #define MATORDERINGNATURAL       "natural"
1390 #define MATORDERINGND            "nd"
1391 #define MATORDERING1WD           "1wd"
1392 #define MATORDERINGRCM           "rcm"
1393 #define MATORDERINGQMD           "qmd"
1394 #define MATORDERINGROWLENGTH     "rowlength"
1395 #define MATORDERINGWBM           "wbm"
1396 #define MATORDERINGSPECTRAL      "spectral"
1397 #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1398 #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1399 #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 */
1400 #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */
1401 
1402 PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1403 PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1404 PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1405 PETSC_EXTERN PetscFunctionList MatOrderingList;
1406 
1407 #include "petscmatcoarsen.h"
1408 
1409 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1410 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);
1411 
1412 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);
1413 
1414 /*S
1415     MatFactorShiftType - Type of numeric shift used for factorizations
1416 
1417    Values:
1418 +  `MAT_SHIFT_NONE` - do not shift the matrix diagonal entries
1419 .  `MAT_SHIFT_NONZERO` - shift the entries to be non-zero
1420 .  `MAT_SHIFT_POSITIVE_DEFINITE` - shift the entries to force the factorization to be positive definite
1421 -  `MAT_SHIFT_INBLOCKS` - only shift the factors inside the small dense diagonal blocks of the matrix, for example with `MATBAIJ`
1422 
1423    Level: intermediate
1424 
1425 .seealso: [](chapter_matrices), `Mat`, `MatGetFactor()`, `PCFactorSetShiftType()`
1426 S*/
1427 typedef enum {
1428   MAT_SHIFT_NONE,
1429   MAT_SHIFT_NONZERO,
1430   MAT_SHIFT_POSITIVE_DEFINITE,
1431   MAT_SHIFT_INBLOCKS
1432 } MatFactorShiftType;
1433 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1434 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1435 
1436 /*S
1437     MatFactorError - indicates what type of error was generated in a matrix factorization
1438 
1439     Values:
1440 +   `MAT_FACTOR_NOERROR` - there was no error during the factorization
1441 .   `MAT_FACTOR_STRUCT_ZEROPIVOT` - there was a missing entry in a diagonal location of the matrix
1442 .   `MAT_FACTOR_NUMERIC_ZEROPIVOT` - there was a (near) zero pivot during the factorization
1443 .   `MAT_FACTOR_OUTMEMORY` - the factorization has run out of memory
1444 -   `MAT_FACTOR_OTHER` - some other error has occurred.
1445 
1446     Level: intermediate
1447 
1448     Note:
1449     When a factorization is done in a preconditioner `PC` the error may be propagated up to a `PCFailedReason` or a `KSPConvergedReason`
1450 
1451 .seealso: [](chapter_matrices), `Mat`, `MatGetFactor()`, `MatFactorGetError()`, `MatFactorGetErrorZeroPivot()`, `MatFactorClearError()`,
1452           `PCFailedReason`, `PCGetFailedReason()`, `KSPConvergedReason`
1453 S*/
1454 typedef enum {
1455   MAT_FACTOR_NOERROR,
1456   MAT_FACTOR_STRUCT_ZEROPIVOT,
1457   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1458   MAT_FACTOR_OUTMEMORY,
1459   MAT_FACTOR_OTHER
1460 } MatFactorError;
1461 
1462 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1463 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1464 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);
1465 
1466 /*S
1467    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1468 
1469    Level: developer
1470 
1471    Note:
1472    You can use `MatFactorInfoInitialize()` to set default values.
1473 
1474    Fortran Note:
1475    The data is available in a double precision arrays of size `MAT_FACTORINFO_SIZE`
1476 
1477 .seealso: [](chapter_matrices), `Mat`, `MatInfo`, `MatGetFactor()`, `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`,
1478           `MatICCFactorSymbolic()`, `MatICCFactor()`,  `MatFactorInfoInitialize()`
1479 S*/
1480 typedef struct {
1481   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1482   PetscReal usedt;
1483   PetscReal dt;            /* drop tolerance */
1484   PetscReal dtcol;         /* tolerance for pivoting */
1485   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1486   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1487   PetscReal levels;        /* ICC/ILU(levels) */
1488   PetscReal pivotinblocks; /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1489                                    factorization may be faster if do not pivot */
1490   PetscReal zeropivot;     /* pivot is called zero if less than this */
1491   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1492   PetscReal shiftamount;   /* how large the shift is */
1493 } MatFactorInfo;
1494 
1495 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1496 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1497 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1498 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1499 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1500 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1501 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1502 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1503 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1504 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1505 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1506 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1507 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1508 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1509 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1510 PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1511 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1512 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1513 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1514 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1515 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1516 PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1517 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1518 
1519 typedef enum {
1520   MAT_FACTOR_SCHUR_UNFACTORED,
1521   MAT_FACTOR_SCHUR_FACTORED,
1522   MAT_FACTOR_SCHUR_INVERTED
1523 } MatFactorSchurStatus;
1524 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1525 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1526 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1527 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1528 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1529 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1530 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1531 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1532 
1533 PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1534 /*E
1535     MatSORType - What type of (S)SOR to perform
1536 
1537    Values:
1538 +  `SOR_FORWARD_SWEEP` - do a sweep from the first row of the matrix to the last
1539 .  `SOR_BACKWARD_SWEEP` -  do a sweep from the last row to the first
1540 .  `SOR_SYMMETRIC_SWEEP` - do a sweep from the first row to the last and then back to the first
1541 .  `SOR_LOCAL_FORWARD_SWEEP` - each MPI rank does its own forward sweep with no communication
1542 .  `SOR_LOCAL_BACKWARD_SWEEP` - each MPI rank does its own backward sweep with no communication
1543 .  `SOR_LOCAL_SYMMETRIC_SWEEP` - each MPI rank does its own symmetric sweep with no communication
1544 .  `SOR_ZERO_INITIAL_GUESS` - indicates the initial solution is zero so the sweep can avoid unneeded computation
1545 .  `SOR_EISENSTAT` - apply the Eisentat application of SOR, see `PCEISENSTAT`
1546 .  `SOR_APPLY_UPPER` - multiply by the upper triangular portion of the matrix
1547 -  `SOR_APPLY_LOWER` - multiply by the lower triangular portion of the matrix
1548 
1549     Level: beginner
1550 
1551    Note:
1552    These may be bitwise ORd together
1553 
1554    Developer Note:
1555    Since `MatSORType` may be bitwise ORd together, so do not change the numerical values below
1556 
1557 .seealso: [](chapter_matrices), `MatSOR()`
1558 E*/
1559 typedef enum {
1560   SOR_FORWARD_SWEEP         = 1,
1561   SOR_BACKWARD_SWEEP        = 2,
1562   SOR_SYMMETRIC_SWEEP       = 3,
1563   SOR_LOCAL_FORWARD_SWEEP   = 4,
1564   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1565   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1566   SOR_ZERO_INITIAL_GUESS    = 16,
1567   SOR_EISENSTAT             = 32,
1568   SOR_APPLY_UPPER           = 64,
1569   SOR_APPLY_LOWER           = 128
1570 } MatSORType;
1571 PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);
1572 
1573 /*S
1574      MatColoring - Object for managing the coloring of matrices.
1575 
1576    Level: beginner
1577 
1578    Notes:
1579    Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1580    matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).
1581 
1582    Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1583    same object can also be used to efficiently convert data created by Automatic Differentiation tools to PETSc sparse matrices.
1584 
1585 .seealso: [](chapter_matrices), [](sec_graph), `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`,
1586           `MatPartitioning`, `MatColoringType`, `MatPartitioningType`, `MatOrderingType`,  `MatColoringSetWeightType()`,
1587           `MatColoringSetWeights()`, `MatCoarsenType`,  `MatCoarsen`
1588 S*/
1589 typedef struct _p_MatColoring *MatColoring;
1590 
1591 /*J
1592     MatColoringType - String with the name of a PETSc matrix coloring
1593 
1594    Level: beginner
1595 
1596 .seealso: [](chapter_matrices), [](sec_graph), `Mat`, `MatFDColoringCreate()`, `MatColoringSetType()`, `MatColoring`
1597 J*/
1598 typedef const char *MatColoringType;
1599 #define MATCOLORINGJP      "jp"
1600 #define MATCOLORINGPOWER   "power"
1601 #define MATCOLORINGNATURAL "natural"
1602 #define MATCOLORINGSL      "sl"
1603 #define MATCOLORINGLF      "lf"
1604 #define MATCOLORINGID      "id"
1605 #define MATCOLORINGGREEDY  "greedy"
1606 
1607 /*E
1608    MatColoringWeightType - Type of weight scheme used for the coloring algorithm
1609 
1610     Values:
1611 +   `MAT_COLORING_RANDOM`  - Random weights
1612 .   `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1613 -   `MAT_COLORING_LF`      - Last-first weighting.
1614 
1615     Level: intermediate
1616 
1617 .seealso: [](chapter_matrices), `MatColoring`, `MatColoringCreate()`, `MatColoringSetWeightType()`, `MatColoringSetWeights()`
1618 E*/
1619 typedef enum {
1620   MAT_COLORING_WEIGHT_RANDOM,
1621   MAT_COLORING_WEIGHT_LEXICAL,
1622   MAT_COLORING_WEIGHT_LF,
1623   MAT_COLORING_WEIGHT_SL
1624 } MatColoringWeightType;
1625 
1626 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1627 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1628 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1629 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1630 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1631 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1632 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1633 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1634 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1635 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1636 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1637 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1638 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1639 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1640 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1641 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1642 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1643 PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
1644 {
1645   return MatColoringTest(matcoloring, iscoloring);
1646 }
1647 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);
1648 
1649 /*S
1650      MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring
1651 
1652    Level: beginner
1653 
1654    Notes:
1655    This object is creating utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`
1656 
1657    The `SNES` option `-snes_fd_coloring` will cause the Jacobian needed by `SNES` to be computed via a use of this object
1658 
1659 .seealso: [](chapter_matrices), `Mat`, `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1660 S*/
1661 typedef struct _p_MatFDColoring *MatFDColoring;
1662 
1663 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1664 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1665 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1666 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, PetscErrorCode (*)(void), void *);
1667 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, PetscErrorCode (**)(void), void **);
1668 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1669 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1670 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1671 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1672 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1673 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1674 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1675 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);
1676 
1677 /*S
1678      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1679 
1680    Level: developer
1681 
1682 .seealso: [](chapter_matrices), `Mat`, `MatProductType`, `MatTransposeColoringCreate()`
1683 S*/
1684 typedef struct _p_MatTransposeColoring *MatTransposeColoring;
1685 
1686 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1687 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1688 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1689 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);
1690 
1691 /*S
1692      MatPartitioning - Object for managing the partitioning of a matrix or graph
1693 
1694    Level: beginner
1695 
1696    Note:
1697      There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1698      via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)
1699 
1700    Developers Note:
1701      It is an extra maintenance and documentation cost to have two objects with the same functionality. `PetscPartitioner` should be removed
1702 
1703 .seealso: [](chapter_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`, `MatOrderingType`,
1704           `MatCoarsenType`, `MatCoarsenType`
1705 S*/
1706 typedef struct _p_MatPartitioning *MatPartitioning;
1707 
1708 /*J
1709     MatPartitioningType - String with the name of a PETSc matrix partitioning
1710 
1711    Level: beginner
1712 dm
1713 .seealso: [](chapter_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`, `MatColoringType`, `MatOrderingType`,
1714           `MatCoarsenType`, `MatCoarsenType`
1715 J*/
1716 typedef const char *MatPartitioningType;
1717 #define MATPARTITIONINGCURRENT  "current"
1718 #define MATPARTITIONINGAVERAGE  "average"
1719 #define MATPARTITIONINGSQUARE   "square"
1720 #define MATPARTITIONINGPARMETIS "parmetis"
1721 #define MATPARTITIONINGCHACO    "chaco"
1722 #define MATPARTITIONINGPARTY    "party"
1723 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1724 #define MATPARTITIONINGHIERARCH "hierarch"
1725 
1726 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1727 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1728 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1729 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1730 PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1731 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1732 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1733 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1734 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1735 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1736 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1737 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1738 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1739 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1740 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1741 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1742 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1743 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1744 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);
1745 
1746 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1747 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1748 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1749 
1750 typedef enum {
1751   MP_CHACO_MULTILEVEL = 1,
1752   MP_CHACO_SPECTRAL   = 2,
1753   MP_CHACO_LINEAR     = 4,
1754   MP_CHACO_RANDOM     = 5,
1755   MP_CHACO_SCATTERED  = 6
1756 } MPChacoGlobalType;
1757 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1758 typedef enum {
1759   MP_CHACO_KERNIGHAN = 1,
1760   MP_CHACO_NONE      = 2
1761 } MPChacoLocalType;
1762 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1763 typedef enum {
1764   MP_CHACO_LANCZOS = 0,
1765   MP_CHACO_RQI     = 1
1766 } MPChacoEigenType;
1767 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1768 
1769 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1770 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1771 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1772 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1773 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1774 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1775 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1776 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1777 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1778 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1779 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);
1780 
1781 #define MP_PARTY_OPT "opt"
1782 #define MP_PARTY_LIN "lin"
1783 #define MP_PARTY_SCA "sca"
1784 #define MP_PARTY_RAN "ran"
1785 #define MP_PARTY_GBF "gbf"
1786 #define MP_PARTY_GCF "gcf"
1787 #define MP_PARTY_BUB "bub"
1788 #define MP_PARTY_DEF "def"
1789 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1790 #define MP_PARTY_HELPFUL_SETS  "hs"
1791 #define MP_PARTY_KERNIGHAN_LIN "kl"
1792 #define MP_PARTY_NONE          "no"
1793 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1794 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1795 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1796 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);
1797 
1798 typedef enum {
1799   MP_PTSCOTCH_DEFAULT,
1800   MP_PTSCOTCH_QUALITY,
1801   MP_PTSCOTCH_SPEED,
1802   MP_PTSCOTCH_BALANCE,
1803   MP_PTSCOTCH_SAFETY,
1804   MP_PTSCOTCH_SCALABILITY
1805 } MPPTScotchStrategyType;
1806 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1807 
1808 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1809 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1810 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1811 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);
1812 
1813 /*
1814  * hierarchical partitioning
1815  */
1816 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1817 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1818 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1819 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1820 
1821 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);
1822 
1823 /*
1824     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1825     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1826 */
1827 typedef enum {
1828   MATOP_SET_VALUES               = 0,
1829   MATOP_GET_ROW                  = 1,
1830   MATOP_RESTORE_ROW              = 2,
1831   MATOP_MULT                     = 3,
1832   MATOP_MULT_ADD                 = 4,
1833   MATOP_MULT_TRANSPOSE           = 5,
1834   MATOP_MULT_TRANSPOSE_ADD       = 6,
1835   MATOP_SOLVE                    = 7,
1836   MATOP_SOLVE_ADD                = 8,
1837   MATOP_SOLVE_TRANSPOSE          = 9,
1838   MATOP_SOLVE_TRANSPOSE_ADD      = 10,
1839   MATOP_LUFACTOR                 = 11,
1840   MATOP_CHOLESKYFACTOR           = 12,
1841   MATOP_SOR                      = 13,
1842   MATOP_TRANSPOSE                = 14,
1843   MATOP_GETINFO                  = 15,
1844   MATOP_EQUAL                    = 16,
1845   MATOP_GET_DIAGONAL             = 17,
1846   MATOP_DIAGONAL_SCALE           = 18,
1847   MATOP_NORM                     = 19,
1848   MATOP_ASSEMBLY_BEGIN           = 20,
1849   MATOP_ASSEMBLY_END             = 21,
1850   MATOP_SET_OPTION               = 22,
1851   MATOP_ZERO_ENTRIES             = 23,
1852   MATOP_ZERO_ROWS                = 24,
1853   MATOP_LUFACTOR_SYMBOLIC        = 25,
1854   MATOP_LUFACTOR_NUMERIC         = 26,
1855   MATOP_CHOLESKY_FACTOR_SYMBOLIC = 27,
1856   MATOP_CHOLESKY_FACTOR_NUMERIC  = 28,
1857   MATOP_SETUP                    = 29,
1858   MATOP_ILUFACTOR_SYMBOLIC       = 30,
1859   MATOP_ICCFACTOR_SYMBOLIC       = 31,
1860   MATOP_GET_DIAGONAL_BLOCK       = 32,
1861   MATOP_SET_INF                  = 33,
1862   MATOP_DUPLICATE                = 34,
1863   MATOP_FORWARD_SOLVE            = 35,
1864   MATOP_BACKWARD_SOLVE           = 36,
1865   MATOP_ILUFACTOR                = 37,
1866   MATOP_ICCFACTOR                = 38,
1867   MATOP_AXPY                     = 39,
1868   MATOP_CREATE_SUBMATRICES       = 40,
1869   MATOP_INCREASE_OVERLAP         = 41,
1870   MATOP_GET_VALUES               = 42,
1871   MATOP_COPY                     = 43,
1872   MATOP_GET_ROW_MAX              = 44,
1873   MATOP_SCALE                    = 45,
1874   MATOP_SHIFT                    = 46,
1875   MATOP_DIAGONAL_SET             = 47,
1876   MATOP_ZERO_ROWS_COLUMNS        = 48,
1877   MATOP_SET_RANDOM               = 49,
1878   MATOP_GET_ROW_IJ               = 50,
1879   MATOP_RESTORE_ROW_IJ           = 51,
1880   MATOP_GET_COLUMN_IJ            = 52,
1881   MATOP_RESTORE_COLUMN_IJ        = 53,
1882   MATOP_FDCOLORING_CREATE        = 54,
1883   MATOP_COLORING_PATCH           = 55,
1884   MATOP_SET_UNFACTORED           = 56,
1885   MATOP_PERMUTE                  = 57,
1886   MATOP_SET_VALUES_BLOCKED       = 58,
1887   MATOP_CREATE_SUBMATRIX         = 59,
1888   MATOP_DESTROY                  = 60,
1889   MATOP_VIEW                     = 61,
1890   MATOP_CONVERT_FROM             = 62,
1891   /* MATOP_PLACEHOLDER_63=63 */
1892   MATOP_MATMAT_MULT_SYMBOLIC    = 64,
1893   MATOP_MATMAT_MULT_NUMERIC     = 65,
1894   MATOP_SET_LOCAL_TO_GLOBAL_MAP = 66,
1895   MATOP_SET_VALUES_LOCAL        = 67,
1896   MATOP_ZERO_ROWS_LOCAL         = 68,
1897   MATOP_GET_ROW_MAX_ABS         = 69,
1898   MATOP_GET_ROW_MIN_ABS         = 70,
1899   MATOP_CONVERT                 = 71,
1900   MATOP_HAS_OPERATION           = 72,
1901   /* MATOP_PLACEHOLDER_73=73, */
1902   MATOP_SET_VALUES_ADIFOR = 74,
1903   MATOP_FD_COLORING_APPLY = 75,
1904   MATOP_SET_FROM_OPTIONS  = 76,
1905   /* MATOP_PLACEHOLDER_77=77, */
1906   /* MATOP_PLACEHOLDER_78=78, */
1907   MATOP_FIND_ZERO_DIAGONALS       = 79,
1908   MATOP_MULT_MULTIPLE             = 80,
1909   MATOP_SOLVE_MULTIPLE            = 81,
1910   MATOP_GET_INERTIA               = 82,
1911   MATOP_LOAD                      = 83,
1912   MATOP_IS_SYMMETRIC              = 84,
1913   MATOP_IS_HERMITIAN              = 85,
1914   MATOP_IS_STRUCTURALLY_SYMMETRIC = 86,
1915   MATOP_SET_VALUES_BLOCKEDLOCAL   = 87,
1916   MATOP_CREATE_VECS               = 88,
1917   /* MATOP_PLACEHOLDER_89=89, */
1918   MATOP_MAT_MULT_SYMBOLIC = 90,
1919   MATOP_MAT_MULT_NUMERIC  = 91,
1920   /* MATOP_PLACEHOLDER_92=92, */
1921   MATOP_PTAP_SYMBOLIC = 93,
1922   MATOP_PTAP_NUMERIC  = 94,
1923   /* MATOP_PLACEHOLDER_95=95, */
1924   MATOP_MAT_TRANSPOSE_MULT_SYMBO = 96,
1925   MATOP_MAT_TRANSPOSE_MULT_NUMER = 97,
1926   MATOP_BIND_TO_CPU              = 98,
1927   MATOP_PRODUCTSETFROMOPTIONS    = 99,
1928   MATOP_PRODUCTSYMBOLIC          = 100,
1929   MATOP_PRODUCTNUMERIC           = 101,
1930   MATOP_CONJUGATE                = 102,
1931   MATOP_VIEW_NATIVE              = 103,
1932   MATOP_SET_VALUES_ROW           = 104,
1933   MATOP_REAL_PART                = 105,
1934   MATOP_IMAGINARY_PART           = 106,
1935   MATOP_GET_ROW_UPPER_TRIANGULAR = 107,
1936   MATOP_RESTORE_ROW_UPPER_TRIANG = 108,
1937   MATOP_MAT_SOLVE                = 109,
1938   MATOP_MAT_SOLVE_TRANSPOSE      = 110,
1939   MATOP_GET_ROW_MIN              = 111,
1940   MATOP_GET_COLUMN_VECTOR        = 112,
1941   MATOP_MISSING_DIAGONAL         = 113,
1942   MATOP_GET_SEQ_NONZERO_STRUCTUR = 114,
1943   MATOP_CREATE                   = 115,
1944   MATOP_GET_GHOSTS               = 116,
1945   MATOP_GET_LOCAL_SUB_MATRIX     = 117,
1946   MATOP_RESTORE_LOCALSUB_MATRIX  = 118,
1947   MATOP_MULT_DIAGONAL_BLOCK      = 119,
1948   MATOP_HERMITIAN_TRANSPOSE      = 120,
1949   MATOP_MULT_HERMITIAN_TRANSPOSE = 121,
1950   MATOP_MULT_HERMITIAN_TRANS_ADD = 122,
1951   MATOP_GET_MULTI_PROC_BLOCK     = 123,
1952   MATOP_FIND_NONZERO_ROWS        = 124,
1953   MATOP_GET_COLUMN_NORMS         = 125,
1954   MATOP_INVERT_BLOCK_DIAGONAL    = 126,
1955   MATOP_INVERT_VBLOCK_DIAGONAL   = 127,
1956   MATOP_CREATE_SUB_MATRICES_MPI  = 128,
1957   MATOP_SET_VALUES_BATCH         = 129,
1958   /* MATOP_PLACEHOLDER_130=130, */
1959   MATOP_TRANSPOSE_MAT_MULT_SYMBO = 131,
1960   MATOP_TRANSPOSE_MAT_MULT_NUMER = 132,
1961   MATOP_TRANSPOSE_COLORING_CREAT = 133,
1962   MATOP_TRANS_COLORING_APPLY_SPT = 134,
1963   MATOP_TRANS_COLORING_APPLY_DEN = 135,
1964   /* MATOP_PLACEHOLDER_136=136, */
1965   MATOP_RART_SYMBOLIC         = 137,
1966   MATOP_RART_NUMERIC          = 138,
1967   MATOP_SET_BLOCK_SIZES       = 139,
1968   MATOP_AYPX                  = 140,
1969   MATOP_RESIDUAL              = 141,
1970   MATOP_FDCOLORING_SETUP      = 142,
1971   MATOP_FIND_OFFBLOCK_ENTRIES = 143,
1972   MATOP_MPICONCATENATESEQ     = 144,
1973   MATOP_DESTROYSUBMATRICES    = 145,
1974   MATOP_TRANSPOSE_SOLVE       = 146,
1975   MATOP_GET_VALUES_LOCAL      = 147
1976 } MatOperation;
1977 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, void (*)(void));
1978 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, void (**)(void));
1979 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
1980 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
1981 PETSC_DEPRECATED_FUNCTION("Use MatProductClear() (since version 3.14)") static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
1982 {
1983   return MatProductClear(A);
1984 }
1985 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, void (*)(void));
1986 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, void (**)(void));
1987 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, void *);
1988 PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscErrorCode (*)(void *));
1989 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
1990 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
1991 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
1992 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1993 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscErrorCode (*)(void *), MatType, MatType);
1994 PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);
1995 
1996 /*
1997    Codes for matrices stored on disk. By default they are
1998    stored in a universal format. By changing the format with
1999    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
2000    be stored in a way natural for the matrix, for example dense matrices
2001    would be stored as dense. Matrices stored this way may only be
2002    read into matrices of the same type.
2003 */
2004 #define MATRIX_BINARY_FORMAT_DENSE -1
2005 
2006 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);
2007 
2008 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
2009 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
2010 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
2011 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
2012 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
2013 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
2014 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
2015 PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
2016 PETSC_EXTERN                PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat, MatReuse, Mat *);
2017 
2018 /*S
2019      MatNullSpace - Object that removes a null space from a vector, i.e.
2020          orthogonalizes the vector to a subspace
2021 
2022    Level: advanced
2023 
2024 .seealso: [](chapter_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2025 S*/
2026 typedef struct _p_MatNullSpace *MatNullSpace;
2027 
2028 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
2029 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, PetscErrorCode (*)(MatNullSpace, Vec, void *), void *);
2030 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
2031 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
2032 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
2033 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
2034 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
2035 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
2036 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
2037 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
2038 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
2039 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
2040 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
2041 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);
2042 
2043 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
2044 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
2045 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);
2046 
2047 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
2048 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
2049 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);
2050 
2051 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
2052 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);
2053 
2054 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
2055 {
2056   return MatComputeOperator(A, PETSC_NULLPTR, B);
2057 }
2058 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
2059 {
2060   return MatComputeOperatorTranspose(A, PETSC_NULLPTR, B);
2061 }
2062 
2063 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
2064 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
2065 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
2066 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2067 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
2068 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
2069 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
2070 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2071 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
2072 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
2073 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
2074 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
2075 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
2076 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);
2077 
2078 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);
2079 
2080 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2081 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
2082 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, PetscErrorCode (*)(void *, Vec, Vec), void *);
2083 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, PetscErrorCode (*)(void *, PetscInt, Vec, PetscScalar *));
2084 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, PetscErrorCode (*)(void *, Vec));
2085 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
2086 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
2087 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
2088 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
2089 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
2090 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
2091 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
2092 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, PetscErrorCode (*)(void *, Vec, Vec, PetscScalar *), void *);
2093 
2094 /*S
2095     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2096               Jacobian vector products
2097 
2098     Level: developer
2099 
2100     Notes:
2101     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure
2102 
2103      MatMFFD*() methods actually take the `Mat` as their first argument. Not a `MatMFFD` data structure
2104 
2105     This functionality is often obtained using `MatCreateSNESMF()` or with `SNES` solvers using `-snes_mf` or `-snes_mf_operator`
2106 
2107 .seealso: [](chapter_matrices), `MatMFFDType`, `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`,
2108           `MatCreateSNESMF()`, `SNES`, `-snes_mf`, `-snes_mf_operator`
2109 S*/
2110 typedef struct _p_MatMFFD *MatMFFD;
2111 
2112 /*J
2113     MatMFFDType - algorithm used to compute the `h` used in computing matrix-vector products via differencing of a function
2114 
2115    Level: beginner
2116 
2117 .seealso: [](chapter_matrices), `MatMFFDSetType()`, `MatMFFDRegister()`, `MatMFFDSetFunction()`, `MatCreateMFFD()`
2118 J*/
2119 typedef const char *MatMFFDType;
2120 #define MATMFFD_DS "ds"
2121 #define MATMFFD_WP "wp"
2122 
2123 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2124 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));
2125 
2126 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2127 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);
2128 
2129 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);
2130 
2131 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2132 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
2133 
2134 #ifdef PETSC_HAVE_H2OPUS
2135 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatH2OpusKernel)(PetscInt, PetscReal[], PetscReal[], void *);
2136 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernel, void *, PetscReal, PetscInt, PetscInt, Mat *);
2137 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2138 PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2139 PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
2140 PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat, PetscReal);
2141 PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat, PetscBool);
2142 PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat, PetscBool *);
2143 PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat, IS *);
2144 PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2145 PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2146 #endif
2147 
2148 #ifdef PETSC_HAVE_HTOOL
2149 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatHtoolKernel)(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2150 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernel, void *, Mat *);
2151 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat, MatHtoolKernel, void *);
2152 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat, IS *);
2153 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat, IS *);
2154 PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat, PetscBool);
2155 
2156 /*E
2157      MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`
2158 
2159    Level: intermediate
2160 
2161     Values:
2162 +   `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2163 .   `MAT_HTOOL_COMPRESSOR_FULL_ACA` - full adaptive cross approximation
2164 -   `MAT_HTOOL_COMPRESSOR_SVD` - singular value decomposition
2165 
2166 .seealso: [](chapter_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2167 E*/
2168 typedef enum {
2169   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2170   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2171   MAT_HTOOL_COMPRESSOR_SVD
2172 } MatHtoolCompressorType;
2173 
2174 /*E
2175      MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`
2176 
2177    Level: intermediate
2178 
2179     Values:
2180 +   `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default) - axis computed via principle component analysis, split uniformly
2181 .   `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC` - axis computed via principle component analysis, split barycentrically
2182 .   `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR` - axis along the largest extent of the bounding box, split uniformly
2183 -   `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically
2184 
2185     Note:
2186     Higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
2187 
2188 .seealso: [](chapter_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2189 E*/
2190 typedef enum {
2191   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2192   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2193   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2194   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2195 } MatHtoolClusteringType;
2196 #endif
2197 
2198 #ifdef PETSC_HAVE_MUMPS
2199 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2200 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2201 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2202 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);
2203 
2204 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2205 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2206 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2207 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2208 PETSC_EXTERN PetscErrorCode MatMumpsGetNullPivots(Mat, PetscInt *, PetscInt **);
2209 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2210 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2211 #endif
2212 
2213 #ifdef PETSC_HAVE_MKL_PARDISO
2214 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2215 #endif
2216 
2217 #ifdef PETSC_HAVE_MKL_CPARDISO
2218 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2219 #endif
2220 
2221 #ifdef PETSC_HAVE_SUPERLU
2222 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2223 #endif
2224 
2225 #ifdef PETSC_HAVE_SUPERLU_DIST
2226 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2227 #endif
2228 
2229 #ifdef PETSC_HAVE_STRUMPACK
2230 /*E
2231     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `MATSOLVERSTRUMPACK``
2232 
2233     Level: intermediate
2234 
2235     Values:
2236 +  `MAT_STRUMPACK_NATURAL` - use the current ordering
2237 .  `MAT_STRUMPACK_METIS` - use MeTis to compute an ordering
2238 .  `MAT_STRUMPACK_PARMETIS` - use ParMeTis to compute an ordering
2239 .  `MAT_STRUMPACK_SCOTCH` - use Scotch to compute an ordering
2240 .  `MAT_STRUMPACK_PTSCOTCH` - use parallel Scotch to compute an ordering
2241 -  `MAT_STRUMPACK_RCM` - use an RCM ordering
2242 
2243     Developer Note:
2244     Should be called `MatSTRUMPACKReorderingType`
2245 
2246 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetHSSRelTol()`, `MatSTRUMPACKSetReordering()`
2247 E*/
2248 typedef enum {
2249   MAT_STRUMPACK_NATURAL  = 0,
2250   MAT_STRUMPACK_METIS    = 1,
2251   MAT_STRUMPACK_PARMETIS = 2,
2252   MAT_STRUMPACK_SCOTCH   = 3,
2253   MAT_STRUMPACK_PTSCOTCH = 4,
2254   MAT_STRUMPACK_RCM      = 5
2255 } MatSTRUMPACKReordering;
2256 
2257 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2258 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2259 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat, PetscReal);
2260 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat, PetscReal rtol)
2261 {
2262   return MatSTRUMPACKSetHSSRelTol(mat, rtol);
2263 }
2264 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat, PetscReal);
2265 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat, PetscInt);
2266 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat, PetscInt hssminsize)
2267 {
2268   return MatSTRUMPACKSetHSSMinSepSize(mat, hssminsize);
2269 }
2270 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat, PetscInt);
2271 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat, PetscInt);
2272 #endif
2273 
2274 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2275 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2276 PETSC_DEPRECATED_FUNCTION("Use MatBindToCPU (since v3.13)") static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2277 {
2278   return MatBindToCPU(A, flg);
2279 }
2280 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2281 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);
2282 
2283 typedef struct _n_SplitCSRMat *PetscSplitCSRDataStructure;
2284 PETSC_EXTERN PetscErrorCode    MatCUSPARSEGetDeviceMatWrite(Mat, PetscSplitCSRDataStructure *);
2285 
2286 #ifdef PETSC_HAVE_KOKKOS_KERNELS
2287 PETSC_EXTERN PetscErrorCode MatKokkosGetDeviceMatWrite(Mat, PetscSplitCSRDataStructure *);
2288 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosSetDeviceMat(Mat, PetscSplitCSRDataStructure);
2289 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosGetDeviceMat(Mat, PetscSplitCSRDataStructure *);
2290 #endif
2291 
2292 #ifdef PETSC_HAVE_CUDA
2293 /*E
2294     MatCUSPARSEStorageFormat - indicates the storage format for `MATAIJCUSPARSE` (GPU)
2295     matrices.
2296 
2297     Values:
2298 +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2299 .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2300 -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2301 
2302     Level: intermediate
2303 
2304 .seealso: [](chapter_matrices), `MATAIJCUSPARSE`, `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2305 E*/
2306 
2307 typedef enum {
2308   MAT_CUSPARSE_CSR,
2309   MAT_CUSPARSE_ELL,
2310   MAT_CUSPARSE_HYB
2311 } MatCUSPARSEStorageFormat;
2312 
2313 /* these will be strings associated with enumerated type defined above */
2314 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2315 
2316 /*E
2317     MatCUSPARSEFormatOperation - indicates the operation of `MATAIJCUSPARSE` (GPU)
2318     matrices whose operation should use a particular storage format.
2319 
2320     Values:
2321 +   `MAT_CUSPARSE_MULT_DIAG` - sets the storage format for the diagonal matrix in the parallel MatMult
2322 .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the offdiagonal matrix in the parallel MatMult
2323 .   `MAT_CUSPARSE_MULT` - sets the storage format for the entire matrix in the serial (single GPU) MatMult
2324 -   `MAT_CUSPARSE_ALL` - sets the storage format for all `MATAIJCUSPARSE` (GPU) matrices
2325 
2326     Level: intermediate
2327 
2328 .seealso: [](chapter_matrices), `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2329 E*/
2330 typedef enum {
2331   MAT_CUSPARSE_MULT_DIAG,
2332   MAT_CUSPARSE_MULT_OFFDIAG,
2333   MAT_CUSPARSE_MULT,
2334   MAT_CUSPARSE_ALL
2335 } MatCUSPARSEFormatOperation;
2336 
2337 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2338 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2339 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2340 PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2341 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2342 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2343 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2344 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2345 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2346 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2347 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2348 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);
2349 
2350 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2351 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2352 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2353 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2354 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2355 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2356 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2357 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2358 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2359 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2360 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2361 #endif
2362 
2363 #ifdef PETSC_HAVE_HIP
2364 /*E
2365     MatHIPSPARSEStorageFormat - indicates the storage format for `MATAIJHIPSPARSE` (GPU)
2366     matrices.
2367 
2368     Level: intermediate
2369 
2370     Values:
2371 +   `MAT_HIPSPARSE_CSR` - Compressed Sparse Row
2372 .   `MAT_HIPSPARSE_ELL` - Ellpack
2373 -   `MAT_HIPSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format
2374 
2375 .seealso: [](chapter_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
2376 E*/
2377 
2378 typedef enum {
2379   MAT_HIPSPARSE_CSR,
2380   MAT_HIPSPARSE_ELL,
2381   MAT_HIPSPARSE_HYB
2382 } MatHIPSPARSEStorageFormat;
2383 
2384 /* these will be strings associated with enumerated type defined above */
2385 PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];
2386 
2387 /*E
2388     MatHIPSPARSEFormatOperation - indicates the operation of `MATAIJHIPSPARSE` (GPU)
2389     matrices whose operation should use a particular storage format.
2390 
2391     Level: intermediate
2392 
2393     Values:
2394 +   `MAT_HIPSPARSE_MULT_DIAG` - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2395 .   `MAT_HIPSPARSE_MULT_OFFDIAG` - sets the storage format for the offdiagonal matrix in the parallel `MatMul()t`
2396 .   `MAT_HIPSPARSE_MULT` - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2397 -   `MAT_HIPSPARSE_ALL` - sets the storage format for all HIPSPARSE (GPU) matrices
2398 
2399 .seealso: [](chapter_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
2400 E*/
2401 typedef enum {
2402   MAT_HIPSPARSE_MULT_DIAG,
2403   MAT_HIPSPARSE_MULT_OFFDIAG,
2404   MAT_HIPSPARSE_MULT,
2405   MAT_HIPSPARSE_ALL
2406 } MatHIPSPARSEFormatOperation;
2407 
2408 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2409 PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2410 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
2411 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
2412 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2413 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2414 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
2415 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
2416 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
2417 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
2418 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
2419 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);
2420 
2421 PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2422 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2423 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
2424 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
2425 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
2426 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
2427 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
2428 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
2429 PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
2430 PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
2431 PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);
2432 #endif
2433 
2434 #if defined(PETSC_HAVE_VIENNACL)
2435 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2436 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2437 #endif
2438 
2439 #if defined(PETSC_HAVE_FFTW)
2440 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2441 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2442 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2443 #endif
2444 
2445 #if defined(PETSC_HAVE_SCALAPACK)
2446 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2447 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2448 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2449 #endif
2450 
2451 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2452 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2453 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2454 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2455 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2456 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2457 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2458 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2459 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);
2460 
2461 PETSC_EXTERN PetscErrorCode MatChop(Mat, PetscReal);
2462 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);
2463 
2464 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);
2465 
2466 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);
2467 
2468 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2469 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);
2470 
2471 PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);
2472 
2473 PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, Mat *);
2474 PETSC_EXTERN PetscErrorCode MatEliminateZeros(Mat);
2475 
2476 PETSC_EXTERN PetscErrorCode VecCreateMatDense(Vec, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar *, Mat *);
2477 #endif
2478