xref: /petsc/include/petscmat.h (revision 5ea36cfa329e30f8961b7a74ac0f85cc901455ea)
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), [](chapter_matrices) and `MatType` for available matrix types
19 
20 .seealso: [](doc_matrix), [](chapter_matrices), `MatCreate()`, `MatType`, `MatSetType()`, `MatDestroy()`
21 S*/
22 typedef struct _p_Mat *Mat;
23 
24 /*J
25     MatType - String with the name of a PETSc matrix type
26 
27    Level: beginner
28 
29    Note:
30    [](doc_matrix) for a table of available matrix types
31 
32 .seealso: [](doc_matrix), [](chapter_matrices), `MatSetType()`, `Mat`, `MatSolverType`, `MatRegister()`
33 J*/
34 typedef const char *MatType;
35 #define MATSAME                      "same"
36 #define MATMAIJ                      "maij"
37 #define MATSEQMAIJ                   "seqmaij"
38 #define MATMPIMAIJ                   "mpimaij"
39 #define MATKAIJ                      "kaij"
40 #define MATSEQKAIJ                   "seqkaij"
41 #define MATMPIKAIJ                   "mpikaij"
42 #define MATIS                        "is"
43 #define MATAIJ                       "aij"
44 #define MATSEQAIJ                    "seqaij"
45 #define MATMPIAIJ                    "mpiaij"
46 #define MATAIJCRL                    "aijcrl"
47 #define MATSEQAIJCRL                 "seqaijcrl"
48 #define MATMPIAIJCRL                 "mpiaijcrl"
49 #define MATAIJCUSPARSE               "aijcusparse"
50 #define MATSEQAIJCUSPARSE            "seqaijcusparse"
51 #define MATMPIAIJCUSPARSE            "mpiaijcusparse"
52 #define MATAIJHIPSPARSE              "aijhipsparse"
53 #define MATSEQAIJHIPSPARSE           "seqaijhipsparse"
54 #define MATMPIAIJHIPSPARSE           "mpiaijhipsparse"
55 #define MATAIJKOKKOS                 "aijkokkos"
56 #define MATSEQAIJKOKKOS              "seqaijkokkos"
57 #define MATMPIAIJKOKKOS              "mpiaijkokkos"
58 #define MATAIJVIENNACL               "aijviennacl"
59 #define MATSEQAIJVIENNACL            "seqaijviennacl"
60 #define MATMPIAIJVIENNACL            "mpiaijviennacl"
61 #define MATAIJPERM                   "aijperm"
62 #define MATSEQAIJPERM                "seqaijperm"
63 #define MATMPIAIJPERM                "mpiaijperm"
64 #define MATAIJSELL                   "aijsell"
65 #define MATSEQAIJSELL                "seqaijsell"
66 #define MATMPIAIJSELL                "mpiaijsell"
67 #define MATAIJMKL                    "aijmkl"
68 #define MATSEQAIJMKL                 "seqaijmkl"
69 #define MATMPIAIJMKL                 "mpiaijmkl"
70 #define MATBAIJMKL                   "baijmkl"
71 #define MATSEQBAIJMKL                "seqbaijmkl"
72 #define MATMPIBAIJMKL                "mpibaijmkl"
73 #define MATSHELL                     "shell"
74 #define MATCENTERING                 "centering"
75 #define MATDENSE                     "dense"
76 #define MATDENSECUDA                 "densecuda"
77 #define MATDENSEHIP                  "densehip"
78 #define MATSEQDENSE                  "seqdense"
79 #define MATSEQDENSECUDA              "seqdensecuda"
80 #define MATSEQDENSEHIP               "seqdensehip"
81 #define MATMPIDENSE                  "mpidense"
82 #define MATMPIDENSECUDA              "mpidensecuda"
83 #define MATMPIDENSEHIP               "mpidensehip"
84 #define MATELEMENTAL                 "elemental"
85 #define MATSCALAPACK                 "scalapack"
86 #define MATBAIJ                      "baij"
87 #define MATSEQBAIJ                   "seqbaij"
88 #define MATMPIBAIJ                   "mpibaij"
89 #define MATMPIADJ                    "mpiadj"
90 #define MATSBAIJ                     "sbaij"
91 #define MATSEQSBAIJ                  "seqsbaij"
92 #define MATMPISBAIJ                  "mpisbaij"
93 #define MATMFFD                      "mffd"
94 #define MATNORMAL                    "normal"
95 #define MATNORMALHERMITIAN           "normalh"
96 #define MATLRC                       "lrc"
97 #define MATSCATTER                   "scatter"
98 #define MATBLOCKMAT                  "blockmat"
99 #define MATCOMPOSITE                 "composite"
100 #define MATFFT                       "fft"
101 #define MATFFTW                      "fftw"
102 #define MATSEQCUFFT                  "seqcufft"
103 #define MATSEQHIPFFT                 "seqhipfft"
104 #define MATTRANSPOSEMAT              PETSC_DEPRECATED_MACRO("GCC warning \"MATTRANSPOSEMAT macro is deprecated use MATTRANSPOSEVIRTUAL (since version 3.18)\"") "transpose"
105 #define MATTRANSPOSEVIRTUAL          "transpose"
106 #define MATHERMITIANTRANSPOSEVIRTUAL "hermitiantranspose"
107 #define MATSCHURCOMPLEMENT           "schurcomplement"
108 #define MATPYTHON                    "python"
109 #define MATHYPRE                     "hypre"
110 #define MATHYPRESTRUCT               "hyprestruct"
111 #define MATHYPRESSTRUCT              "hypresstruct"
112 #define MATSUBMATRIX                 "submatrix"
113 #define MATLOCALREF                  "localref"
114 #define MATNEST                      "nest"
115 #define MATPREALLOCATOR              "preallocator"
116 #define MATSELL                      "sell"
117 #define MATSEQSELL                   "seqsell"
118 #define MATMPISELL                   "mpisell"
119 #define MATSELLCUDA                  "sellcuda"
120 #define MATSEQSELLCUDA               "seqsellcuda"
121 #define MATMPISELLCUDA               "mpisellcuda"
122 #define MATDUMMY                     "dummy"
123 #define MATLMVM                      "lmvm"
124 #define MATLMVMDFP                   "lmvmdfp"
125 #define MATLMVMBFGS                  "lmvmbfgs"
126 #define MATLMVMSR1                   "lmvmsr1"
127 #define MATLMVMBROYDEN               "lmvmbroyden"
128 #define MATLMVMBADBROYDEN            "lmvmbadbroyden"
129 #define MATLMVMSYMBROYDEN            "lmvmsymbroyden"
130 #define MATLMVMSYMBADBROYDEN         "lmvmsymbadbroyden"
131 #define MATLMVMDIAGBROYDEN           "lmvmdiagbroyden"
132 #define MATCONSTANTDIAGONAL          "constantdiagonal"
133 #define MATHTOOL                     "htool"
134 #define MATH2OPUS                    "h2opus"
135 
136 /*J
137     MatSolverType - String with the name of a PETSc factorization based matrix solver type.
138 
139     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
140 
141    Level: beginner
142 
143    Note:
144    `MATSOLVERUMFPACK`, `MATSOLVERCHOLMOD`, `MATSOLVERKLU`, `MATSOLVERSPQR` form the SuiteSparse package; you can use `--download-suitesparse` as
145    a ./configure option to install them
146 
147 .seealso: [](sec_matfactor), [](chapter_matrices), `MatGetFactor()`, `PCFactorSetMatSolverType()`, `PCFactorGetMatSolverType()`
148 J*/
149 typedef const char *MatSolverType;
150 #define MATSOLVERSUPERLU      "superlu"
151 #define MATSOLVERSUPERLU_DIST "superlu_dist"
152 #define MATSOLVERSTRUMPACK    "strumpack"
153 #define MATSOLVERUMFPACK      "umfpack"
154 #define MATSOLVERCHOLMOD      "cholmod"
155 #define MATSOLVERKLU          "klu"
156 #define MATSOLVERELEMENTAL    "elemental"
157 #define MATSOLVERSCALAPACK    "scalapack"
158 #define MATSOLVERESSL         "essl"
159 #define MATSOLVERLUSOL        "lusol"
160 #define MATSOLVERMUMPS        "mumps"
161 #define MATSOLVERMKL_PARDISO  "mkl_pardiso"
162 #define MATSOLVERMKL_CPARDISO "mkl_cpardiso"
163 #define MATSOLVERPASTIX       "pastix"
164 #define MATSOLVERMATLAB       "matlab"
165 #define MATSOLVERPETSC        "petsc"
166 #define MATSOLVERBAS          "bas"
167 #define MATSOLVERCUSPARSE     "cusparse"
168 #define MATSOLVERCUDA         "cuda"
169 #define MATSOLVERHIPSPARSE    "hipsparse"
170 #define MATSOLVERHIP          "hip"
171 #define MATSOLVERKOKKOS       "kokkos"
172 #define MATSOLVERSPQR         "spqr"
173 
174 /*E
175     MatFactorType - indicates what type of factorization is requested
176 
177     Values:
178 +  `MAT_FACTOR_LU` - LU factorization
179 .  `MAT_FACTOR_CHOLESKY` - Cholesky factorization
180 .  `MAT_FACTOR_ILU` - ILU factorization
181 .  `MAT_FACTOR_ICC` - incomplete Cholesky factorization
182 .  `MAT_FACTOR_ILUDT` - ILU factorization with drop tolerance
183 -  `MAT_FACTOR_QR` - QR factorization
184 
185     Level: beginner
186 
187 .seealso: [](chapter_matrices), `MatSolverType`, `MatGetFactor()`, `MatGetFactorAvailable()`, `MatSolverTypeRegister()`
188 E*/
189 typedef enum {
190   MAT_FACTOR_NONE,
191   MAT_FACTOR_LU,
192   MAT_FACTOR_CHOLESKY,
193   MAT_FACTOR_ILU,
194   MAT_FACTOR_ICC,
195   MAT_FACTOR_ILUDT,
196   MAT_FACTOR_QR,
197   MAT_FACTOR_NUM_TYPES
198 } MatFactorType;
199 PETSC_EXTERN const char *const MatFactorTypes[];
200 
201 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat, MatSolverType, MatFactorType, Mat *);
202 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat, MatSolverType, MatFactorType, PetscBool *);
203 PETSC_EXTERN PetscErrorCode MatFactorGetCanUseOrdering(Mat, PetscBool *);
204 PETSC_DEPRECATED_FUNCTION("Use MatFactorGetCanUseOrdering() (since version 3.15)") static inline PetscErrorCode MatFactorGetUseOrdering(Mat A, PetscBool *b)
205 {
206   return MatFactorGetCanUseOrdering(A, b);
207 }
208 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat, MatSolverType *);
209 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat, MatFactorType *);
210 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat, MatFactorType);
211 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatSolverFunction)(Mat, MatFactorType, Mat *);
212 PETSC_EXTERN PetscErrorCode            MatSolverTypeRegister(MatSolverType, MatType, MatFactorType, MatSolverFunction);
213 PETSC_EXTERN PetscErrorCode            MatSolverTypeGet(MatSolverType, MatType, MatFactorType, PetscBool *, PetscBool *, MatSolverFunction *);
214 typedef MatSolverType MatSolverPackage PETSC_DEPRECATED_TYPEDEF("Use MatSolverType (since version 3.9)");
215 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeRegister() (since version 3.9)") static inline PetscErrorCode MatSolverPackageRegister(MatSolverType stype, MatType mtype, MatFactorType ftype, MatSolverFunction f)
216 {
217   return MatSolverTypeRegister(stype, mtype, ftype, f);
218 }
219 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)
220 {
221   return MatSolverTypeGet(stype, mtype, ftype, foundmtype, foundstype, f);
222 }
223 
224 /*E
225     MatProductType - indicates what type of matrix product is requested
226 
227     Values:
228 +  `MATPRODUCT_AB` - product of two matrices
229 .  `MATPRODUCT_AtB` - product of the transpose of a given matrix with a matrix
230 .  `MATPRODUCT_ABt` - product of a matrix with the transpose of another given matrix
231 .  `MATPRODUCT_PtAP` - the triple product of the transpose of a matrix with another matrix and itself
232 .  `MATPRODUCT_RARt` - the triple product of a matrix, another matrix and the transpose of the first matrix
233 -  `MATPRODUCT_ABC` - the product of three matrices
234 
235     Level: beginner
236 
237 .seealso: [](sec_matmatproduct), [](chapter_matrices), `MatProductSetType()`
238 E*/
239 typedef enum {
240   MATPRODUCT_UNSPECIFIED = 0,
241   MATPRODUCT_AB,
242   MATPRODUCT_AtB,
243   MATPRODUCT_ABt,
244   MATPRODUCT_PtAP,
245   MATPRODUCT_RARt,
246   MATPRODUCT_ABC
247 } MatProductType;
248 PETSC_EXTERN const char *const MatProductTypes[];
249 
250 /*J
251     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
252 
253    Level: beginner
254 
255 .seealso: [](sec_matmatproduct), [](chapter_matrices), `MatSetType()`, `Mat`, `MatProductSetAlgorithm()`, `MatProductType`
256 J*/
257 typedef const char *MatProductAlgorithm;
258 #define MATPRODUCTALGORITHMDEFAULT         "default"
259 #define MATPRODUCTALGORITHMSORTED          "sorted"
260 #define MATPRODUCTALGORITHMSCALABLE        "scalable"
261 #define MATPRODUCTALGORITHMSCALABLEFAST    "scalable_fast"
262 #define MATPRODUCTALGORITHMHEAP            "heap"
263 #define MATPRODUCTALGORITHMBHEAP           "btheap"
264 #define MATPRODUCTALGORITHMLLCONDENSED     "llcondensed"
265 #define MATPRODUCTALGORITHMROWMERGE        "rowmerge"
266 #define MATPRODUCTALGORITHMOUTERPRODUCT    "outerproduct"
267 #define MATPRODUCTALGORITHMATB             "at*b"
268 #define MATPRODUCTALGORITHMRAP             "rap"
269 #define MATPRODUCTALGORITHMNONSCALABLE     "nonscalable"
270 #define MATPRODUCTALGORITHMSEQMPI          "seqmpi"
271 #define MATPRODUCTALGORITHMBACKEND         "backend"
272 #define MATPRODUCTALGORITHMOVERLAPPING     "overlapping"
273 #define MATPRODUCTALGORITHMMERGED          "merged"
274 #define MATPRODUCTALGORITHMALLATONCE       "allatonce"
275 #define MATPRODUCTALGORITHMALLATONCEMERGED "allatonce_merged"
276 #define MATPRODUCTALGORITHMALLGATHERV      "allgatherv"
277 #define MATPRODUCTALGORITHMCYCLIC          "cyclic"
278 #if defined(PETSC_HAVE_HYPRE)
279   #define MATPRODUCTALGORITHMHYPRE "hypre"
280 #endif
281 
282 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat, Mat, Mat, Mat *);
283 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat, Mat, Mat, Mat);
284 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat, MatProductType);
285 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat, MatProductAlgorithm);
286 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat, PetscReal);
287 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
288 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
289 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
290 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat, Mat, Mat, Mat);
291 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
292 PETSC_EXTERN PetscErrorCode MatProductView(Mat, PetscViewer);
293 PETSC_EXTERN PetscErrorCode MatProductGetType(Mat, MatProductType *);
294 PETSC_EXTERN PetscErrorCode MatProductGetMats(Mat, Mat *, Mat *, Mat *);
295 
296 /* Logging support */
297 #define MAT_FILE_CLASSID 1211216 /* used to indicate matrices in binary files */
298 PETSC_EXTERN PetscClassId MAT_CLASSID;
299 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
300 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
301 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
302 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
303 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
304 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
305 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
306 
307 /*E
308     MatReuse - Indicates if matrices obtained from a previous call to `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatConvert()` or several other functions
309      are to be reused to store the new matrix values.
310 
311    Values:
312 +  `MAT_INITIAL_MATRIX` - create a new matrix
313 .  `MAT_REUSE_MATRIX` - reuse the matrix created with a previous call that used `MAT_INITIAL_MATRIX`
314 .  `MAT_INPLACE_MATRIX` - replace the first input matrix with the new matrix (not applicable to all functions)
315 -  `MAT_IGNORE_MATRIX` - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
316 
317     Level: beginner
318 
319 .seealso: [](chapter_matrices), `Mat`, `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatDestroyMatrices()`, `MatConvert()`
320 E*/
321 typedef enum {
322   MAT_INITIAL_MATRIX,
323   MAT_REUSE_MATRIX,
324   MAT_IGNORE_MATRIX,
325   MAT_INPLACE_MATRIX
326 } MatReuse;
327 
328 /*E
329     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to `MatCreateSubMatrices()`
330      include the matrix values. Currently it is only used by `MatGetSeqNonzeroStructure()`.
331 
332     Level: developer
333 
334     Values:
335 +  `MAT_DO_NOT_GET_VALUES` - do not copy the matrix values
336 -  `MAT_GET_VALUES` - copy the matrix values
337 
338     Developer Note:
339     Why is not just a boolean used for this information?
340 
341 .seealso: [](chapter_matrices), `Mat`, `MatDuplicateOption`, `PetscCopyMode`, `MatGetSeqNonzeroStructure()`
342 E*/
343 typedef enum {
344   MAT_DO_NOT_GET_VALUES,
345   MAT_GET_VALUES
346 } MatCreateSubMatrixOption;
347 
348 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
349 
350 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm, Mat *);
351 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat, PetscInt, PetscInt, PetscInt, PetscInt);
352 PETSC_EXTERN PetscErrorCode MatSetType(Mat, MatType);
353 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat, VecType *);
354 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat, VecType);
355 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
356 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat, PetscObject, const char[]);
357 PETSC_EXTERN PetscErrorCode MatRegister(const char[], PetscErrorCode (*)(Mat));
358 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[], const char[], const char[]);
359 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat, const char[]);
360 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefixFactor(Mat, const char[]);
361 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefixFactor(Mat, const char[]);
362 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat, const char[]);
363 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat, const char *[]);
364 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat, PetscBool);
365 
366 PETSC_EXTERN PetscFunctionList MatList;
367 PETSC_EXTERN PetscFunctionList MatColoringList;
368 PETSC_EXTERN PetscFunctionList MatPartitioningList;
369 
370 /*E
371     MatStructure - Indicates if two matrices have the same nonzero structure
372 
373    Values:
374 +  `SAME_NONZERO_PATTERN`  - the two matrices have identical nonzero patterns
375 .  `DIFFERENT_NONZERO_PATTERN` - the two matrices may have different nonzero patterns
376 .  `SUBSET_NONZERO_PATTERN` - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
377 -  `UNKNOWN_NONZERO_PATTERN` - there is no known relationship between the nonzero patterns. In this case the implementations
378                                may try to detect a relationship to optimize the operation
379 
380     Level: beginner
381 
382 .seealso: [](chapter_matrices), `Mat`, `MatCopy()`, `MatAXPY()`, `MatAYPX()`
383 E*/
384 typedef enum {
385   DIFFERENT_NONZERO_PATTERN,
386   SUBSET_NONZERO_PATTERN,
387   SAME_NONZERO_PATTERN,
388   UNKNOWN_NONZERO_PATTERN
389 } MatStructure;
390 PETSC_EXTERN const char *const MatStructures[];
391 
392 #if defined                 PETSC_HAVE_MKL_SPARSE
393 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
394 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
395 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
396 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
397 #endif
398 
399 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
400 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
401 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat, PetscInt, const PetscInt[]);
402 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
403 PETSC_EXTERN PetscErrorCode MatSeqSELLGetFillRatio(Mat, PetscReal *);
404 PETSC_EXTERN PetscErrorCode MatSeqSELLGetMaxSliceWidth(Mat, PetscInt *);
405 PETSC_EXTERN PetscErrorCode MatSeqSELLGetAvgSliceWidth(Mat, PetscReal *);
406 PETSC_EXTERN PetscErrorCode MatSeqSELLSetSliceHeight(Mat, PetscInt);
407 PETSC_EXTERN PetscErrorCode MatSeqSELLGetVarSliceSize(Mat, PetscReal *);
408 
409 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
410 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
411 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
412 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
413 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
414 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
415 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArray(Mat, const PetscScalar[]);
416 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], PetscInt[], PetscInt[], PetscScalar[], Mat *);
417 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm, Mat, Mat, const PetscInt[], Mat *);
418 
419 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
420 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
421 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
422 
423 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat, PetscCount, PetscInt[], PetscInt[]);
424 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat, PetscCount, PetscInt[], PetscInt[]);
425 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat, const PetscScalar[], InsertMode);
426 
427 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscInt[], Mat *);
428 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
429 
430 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
431 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
432 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
433 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
434 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], const PetscInt[]);
435 
436 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, void *, Mat *);
437 PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm, PetscInt, PetscInt, Mat *);
438 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat, Mat *);
439 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat, Mat *);
440 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat, Mat, Vec, Mat, Mat *);
441 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat, Mat *, Mat *, Vec *, Mat *);
442 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, ISLocalToGlobalMapping, ISLocalToGlobalMapping, Mat *);
443 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
444 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
445 
446 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm, VecScatter, Mat *);
447 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat, VecScatter);
448 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat, VecScatter *);
449 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt *, Mat *);
450 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat, Mat);
451 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
452 typedef enum {
453   MAT_COMPOSITE_MERGE_RIGHT,
454   MAT_COMPOSITE_MERGE_LEFT
455 } MatCompositeMergeType;
456 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat, MatCompositeMergeType);
457 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm, PetscInt, const Mat *, Mat *);
458 typedef enum {
459   MAT_COMPOSITE_ADDITIVE,
460   MAT_COMPOSITE_MULTIPLICATIVE
461 } MatCompositeType;
462 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat, MatCompositeType);
463 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat, MatCompositeType *);
464 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat, MatStructure);
465 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat, MatStructure *);
466 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat, PetscInt *);
467 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat, PetscInt, Mat *);
468 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat, const PetscScalar *);
469 
470 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm, PetscInt, const PetscInt[], MatType, Mat *);
471 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm, PetscInt, const PetscInt[], Mat *);
472 
473 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat, Mat *);
474 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat, Mat *);
475 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat, Mat *);
476 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat, Mat *);
477 PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat, Mat *);
478 PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat, Mat *);
479 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat, IS, IS, Mat *);
480 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat, Mat, IS, IS);
481 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat, IS, IS, Mat *);
482 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar, Mat *);
483 
484 #if defined(PETSC_HAVE_HYPRE)
485 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
486 #endif
487 
488 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat, const char[]);
489 PETSC_EXTERN PetscErrorCode MatPythonGetType(Mat, const char *[]);
490 
491 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
492 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
493 PETSC_EXTERN PetscErrorCode MatDestroy(Mat *);
494 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat, PetscObjectState *);
495 
496 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
497 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
498 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
499 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat, Mat *);
500 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat, PetscScalar *);
501 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat, const PetscScalar **);
502 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat, PetscInt, const PetscInt *, PetscScalar *);
503 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat, Mat);
504 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat, MatReuse, Mat *);
505 
506 PETSC_EXTERN PetscErrorCode MatSetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
507 PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat, IS, IS, const PetscScalar[], InsertMode);
508 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
509 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat, PetscInt, const PetscScalar[]);
510 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat, PetscInt, const PetscScalar[]);
511 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt[], const PetscScalar[]);
512 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat, PetscRandom);
513 
514 /*S
515      MatStencil - Data structure (C struct) for storing information about rows and
516         columns of a matrix as indexed on an associated grid. These are arguments to `MatSetStencil()` and `MatSetBlockStencil()`
517 
518    Level: beginner
519 
520    Notes:
521    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).
522    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.
523 
524    For stencil access to vectors see `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`.
525 
526    For staggered grids, see `DMStagStencil`
527 
528    Fortran Note:
529    See `MatSetValuesStencil()` for details.
530 
531 .seealso: [](chapter_matrices), `Mat`, `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`,
532           `DMStagStencil`
533 S*/
534 typedef struct {
535   PetscInt k, j, i, c;
536 } MatStencil;
537 
538 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
539 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
540 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat, PetscInt, const PetscInt[], const PetscInt[], PetscInt);
541 
542 /*E
543     MatAssemblyType - Indicates if the process of setting values into the matrix is complete, and the matrix is ready for use
544 
545     Values:
546 +   `MAT_FLUSH_ASSEMBLY` - you will continue to put values into the matrix
547 -   `MAT_FINAL_ASSEMBLY` - you wish to use the matrix with the values currently inserted
548 
549     Level: beginner
550 
551 .seealso: [](chapter_matrices), `Mat`, `MatSetValues`, `MatAssemblyBegin()`, `MatAssemblyEnd()`
552 E*/
553 typedef enum {
554   MAT_FLUSH_ASSEMBLY = 1,
555   MAT_FINAL_ASSEMBLY = 0
556 } MatAssemblyType;
557 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat, MatAssemblyType);
558 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat, MatAssemblyType);
559 PETSC_EXTERN PetscErrorCode MatAssembled(Mat, PetscBool *);
560 
561 /*E
562     MatOption - Options that may be set for a matrix that indicate properties of the matrix or affect its behavior or storage
563 
564     Level: beginner
565 
566    Note:
567    See `MatSetOption()` for the use of the options
568 
569    Developer Note:
570    Entries that are negative need not be called collectively by all processes.
571 
572 .seealso: [](chapter_matrices), `Mat`, `MatSetOption()`
573 E*/
574 typedef enum {
575   MAT_OPTION_MIN                  = -3,
576   MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
577   MAT_ROW_ORIENTED                = -1,
578   MAT_SYMMETRIC                   = 1,
579   MAT_STRUCTURALLY_SYMMETRIC      = 2,
580   MAT_FORCE_DIAGONAL_ENTRIES      = 3,
581   MAT_IGNORE_OFF_PROC_ENTRIES     = 4,
582   MAT_USE_HASH_TABLE              = 5,
583   MAT_KEEP_NONZERO_PATTERN        = 6,
584   MAT_IGNORE_ZERO_ENTRIES         = 7,
585   MAT_USE_INODES                  = 8,
586   MAT_HERMITIAN                   = 9,
587   MAT_SYMMETRY_ETERNAL            = 10,
588   MAT_NEW_NONZERO_LOCATION_ERR    = 11,
589   MAT_IGNORE_LOWER_TRIANGULAR     = 12,
590   MAT_ERROR_LOWER_TRIANGULAR      = 13,
591   MAT_GETROW_UPPERTRIANGULAR      = 14,
592   MAT_SPD                         = 15,
593   MAT_NO_OFF_PROC_ZERO_ROWS       = 16,
594   MAT_NO_OFF_PROC_ENTRIES         = 17,
595   MAT_NEW_NONZERO_LOCATIONS       = 18,
596   MAT_NEW_NONZERO_ALLOCATION_ERR  = 19,
597   MAT_SUBSET_OFF_PROC_ENTRIES     = 20,
598   MAT_SUBMAT_SINGLEIS             = 21,
599   MAT_STRUCTURE_ONLY              = 22,
600   MAT_SORTED_FULL                 = 23,
601   MAT_FORM_EXPLICIT_TRANSPOSE     = 24,
602   MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
603   MAT_SPD_ETERNAL                 = 26,
604   MAT_OPTION_MAX                  = 27
605 } MatOption;
606 
607 PETSC_EXTERN const char *const *MatOptions;
608 PETSC_EXTERN PetscErrorCode     MatSetOption(Mat, MatOption, PetscBool);
609 PETSC_EXTERN PetscErrorCode     MatGetOption(Mat, MatOption, PetscBool *);
610 PETSC_EXTERN PetscErrorCode     MatPropagateSymmetryOptions(Mat, Mat);
611 PETSC_EXTERN PetscErrorCode     MatGetType(Mat, MatType *);
612 
613 PETSC_EXTERN PetscErrorCode    MatGetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
614 PETSC_EXTERN PetscErrorCode    MatGetRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
615 PETSC_EXTERN PetscErrorCode    MatRestoreRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
616 PETSC_EXTERN PetscErrorCode    MatGetRowUpperTriangular(Mat);
617 PETSC_EXTERN PetscErrorCode    MatRestoreRowUpperTriangular(Mat);
618 PETSC_EXTERN PetscErrorCode    MatGetColumnVector(Mat, Vec, PetscInt);
619 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArray(Mat, PetscScalar *[]);
620 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayRead(Mat, const PetscScalar *[]);
621 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayWrite(Mat, PetscScalar *[]);
622 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArray(Mat, PetscScalar *[]);
623 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayRead(Mat, const PetscScalar *[]);
624 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayWrite(Mat, PetscScalar *[]);
625 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetMaxRowNonzeros(Mat, PetscInt *);
626 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetValuesLocalFast(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
627 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetType(Mat, MatType);
628 PETSC_EXTERN PetscErrorCode    MatSeqAIJKron(Mat, Mat, MatReuse, Mat *);
629 PETSC_EXTERN PetscErrorCode    MatSeqAIJRegister(const char[], PetscErrorCode (*)(Mat, MatType, MatReuse, Mat *));
630 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
631 PETSC_EXTERN PetscErrorCode    MatSeqBAIJGetArray(Mat, PetscScalar *[]);
632 PETSC_EXTERN PetscErrorCode    MatSeqBAIJRestoreArray(Mat, PetscScalar *[]);
633 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJGetArray(Mat, PetscScalar *[]);
634 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJRestoreArray(Mat, PetscScalar *[]);
635 PETSC_EXTERN PetscErrorCode    MatDenseGetArray(Mat, PetscScalar *[]);
636 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArray(Mat, PetscScalar *[]);
637 PETSC_EXTERN PetscErrorCode    MatDensePlaceArray(Mat, const PetscScalar[]);
638 PETSC_EXTERN PetscErrorCode    MatDenseReplaceArray(Mat, const PetscScalar[]);
639 PETSC_EXTERN PetscErrorCode    MatDenseResetArray(Mat);
640 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayRead(Mat, const PetscScalar *[]);
641 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayRead(Mat, const PetscScalar *[]);
642 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWrite(Mat, PetscScalar *[]);
643 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWrite(Mat, PetscScalar *[]);
644 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayAndMemType(Mat, PetscScalar *[], PetscMemType *);
645 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayAndMemType(Mat, PetscScalar *[]);
646 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayReadAndMemType(Mat, const PetscScalar *[], PetscMemType *);
647 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayReadAndMemType(Mat, const PetscScalar *[]);
648 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWriteAndMemType(Mat, PetscScalar *[], PetscMemType *);
649 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWriteAndMemType(Mat, PetscScalar *[]);
650 PETSC_EXTERN PetscErrorCode    MatGetBlockSize(Mat, PetscInt *);
651 PETSC_EXTERN PetscErrorCode    MatSetBlockSize(Mat, PetscInt);
652 PETSC_EXTERN PetscErrorCode    MatGetBlockSizes(Mat, PetscInt *, PetscInt *);
653 PETSC_EXTERN PetscErrorCode    MatSetBlockSizes(Mat, PetscInt, PetscInt);
654 PETSC_EXTERN PetscErrorCode    MatSetBlockSizesFromMats(Mat, Mat, Mat);
655 PETSC_EXTERN PetscErrorCode    MatSetVariableBlockSizes(Mat, PetscInt, PetscInt *);
656 PETSC_EXTERN PetscErrorCode    MatGetVariableBlockSizes(Mat, PetscInt *, const PetscInt **);
657 
658 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat, PetscInt, PetscScalar *[]);
659 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat, PetscScalar *[]);
660 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat, PetscInt, Vec *);
661 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat, PetscInt, Vec *);
662 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat, PetscInt, Vec *);
663 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat, PetscInt, Vec *);
664 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat, PetscInt, Vec *);
665 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat, PetscInt, Vec *);
666 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
667 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat, Mat *);
668 
669 PETSC_EXTERN PetscErrorCode MatMult(Mat, Vec, Vec);
670 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat, Vec, Vec);
671 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat, Vec, Vec, Vec);
672 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat, Vec, Vec);
673 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat, Vec, Vec);
674 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat, Mat, PetscReal, PetscBool *);
675 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat, Mat, PetscReal, PetscBool *);
676 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat, Vec, Vec, Vec);
677 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat, Vec, Vec, Vec);
678 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat, Mat, Mat);
679 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat, Mat, Mat);
680 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat, Mat, Mat);
681 PETSC_EXTERN PetscErrorCode MatResidual(Mat, Vec, Vec, Vec);
682 
683 /*E
684     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
685   its numerical values copied over or just its nonzero structure.
686 
687     Values:
688 +   `MAT_DO_NOT_COPY_VALUES`    - Create a matrix using the same nonzero pattern as the original matrix,
689                                with zeros for the numerical values
690 .   `MAT_COPY_VALUES`           - Create a matrix with the same nonzero pattern as the original matrix
691                                and with the same numerical values.
692 -   `MAT_SHARE_NONZERO_PATTERN` - Create a matrix that shares the nonzero structure with the previous matrix
693                                and does not copy it, using zeros for the numerical values. The parent and
694                                child matrices will share their index (i and j) arrays, and you cannot
695                                insert new nonzero entries into either matrix
696 
697     Level: beginner
698 
699   Note:
700   Many matrix types (including `MATSEQAIJ`) do not support the `MAT_SHARE_NONZERO_PATTERN` optimization; in
701   this case the behavior is as if `MAT_DO_NOT_COPY_VALUES` has been specified.
702 
703 .seealso: [](chapter_matrices), `Mat`, `MatDuplicate()`
704 E*/
705 typedef enum {
706   MAT_DO_NOT_COPY_VALUES,
707   MAT_COPY_VALUES,
708   MAT_SHARE_NONZERO_PATTERN
709 } MatDuplicateOption;
710 
711 PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
712 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);
713 
714 PETSC_EXTERN PetscErrorCode MatCopy(Mat, Mat, MatStructure);
715 PETSC_EXTERN PetscErrorCode MatView(Mat, PetscViewer);
716 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat, PetscReal, PetscBool *);
717 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat, PetscBool *);
718 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat, PetscReal, PetscBool *);
719 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat, PetscBool *, PetscBool *);
720 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat, PetscBool *, PetscBool *);
721 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat, PetscBool *, PetscBool *);
722 PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat, PetscBool *, PetscBool *);
723 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat, PetscBool *, PetscInt *);
724 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
725 
726 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
727 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
728 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
729 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
730 
731 /*S
732      MatInfo - Context of matrix information, used with `MatGetInfo()`
733 
734    Level: intermediate
735 
736    Fortran Note:
737    Information is stored as a double-precision array of dimension `MAT_INFO_SIZE`
738 
739 .seealso: [](chapter_matrices), `Mat`, `MatGetInfo()`, `MatInfoType`
740 S*/
741 typedef struct {
742   PetscLogDouble block_size;                          /* block size */
743   PetscLogDouble nz_allocated, nz_used, nz_unneeded;  /* number of nonzeros */
744   PetscLogDouble memory;                              /* memory allocated */
745   PetscLogDouble assemblies;                          /* number of matrix assemblies called */
746   PetscLogDouble mallocs;                             /* number of mallocs during MatSetValues() */
747   PetscLogDouble fill_ratio_given, fill_ratio_needed; /* fill ratio for LU/ILU */
748   PetscLogDouble factor_mallocs;                      /* number of mallocs during factorization */
749 } MatInfo;
750 
751 /*E
752     MatInfoType - Indicates if you want information about the local part of the matrix,
753      the entire parallel matrix or the maximum over all the local parts.
754 
755     Values:
756 +   `MAT_LOCAL` - values for each MPI process part of the matrix
757 .   `MAT_GLOBAL_MAX` - maximum of each value over all MPI processes
758 -   `MAT_GLOBAL_SUM` - sum of each value over all MPI processes
759 
760     Level: beginner
761 
762 .seealso: [](chapter_matrices), `MatGetInfo()`, `MatInfo`
763 E*/
764 typedef enum {
765   MAT_LOCAL      = 1,
766   MAT_GLOBAL_MAX = 2,
767   MAT_GLOBAL_SUM = 3
768 } MatInfoType;
769 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat, MatInfoType, MatInfo *);
770 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat, Vec);
771 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat, Vec, PetscInt[]);
772 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat, Vec, PetscInt[]);
773 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat, Vec, PetscInt[]);
774 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat, Vec, PetscInt[]);
775 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat, Vec);
776 PETSC_EXTERN PetscErrorCode MatTranspose(Mat, MatReuse, Mat *);
777 PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat, Mat *);
778 PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat, Mat);
779 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat, MatReuse, Mat *);
780 PETSC_EXTERN PetscErrorCode MatPermute(Mat, IS, IS, Mat *);
781 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat, Vec, Vec);
782 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat, Vec, InsertMode);
783 
784 PETSC_EXTERN PetscErrorCode MatEqual(Mat, Mat, PetscBool *);
785 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat, Mat, PetscInt, PetscBool *);
786 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat, Mat, PetscInt, PetscBool *);
787 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
788 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
789 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
790 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
791 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
792 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
793 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
794 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
795 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
796 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat, PetscInt, PetscBool *);
797 
798 PETSC_EXTERN PetscErrorCode MatNorm(Mat, NormType, PetscReal *);
799 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat, NormType, PetscReal *);
800 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat, PetscScalar *);
801 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat, PetscReal *);
802 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat, PetscReal *);
803 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat, PetscScalar *);
804 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat, PetscReal *);
805 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat, PetscReal *);
806 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat, PetscInt, PetscReal *);
807 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
808 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
809 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
810 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat, IS, PetscScalar, Vec, Vec);
811 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
812 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
813 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
814 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat, IS, PetscScalar, Vec, Vec);
815 
816 PETSC_EXTERN PetscErrorCode MatGetSize(Mat, PetscInt *, PetscInt *);
817 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat, PetscInt *, PetscInt *);
818 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat, PetscInt *, PetscInt *);
819 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat, const PetscInt **);
820 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat, PetscInt *, PetscInt *);
821 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat, const PetscInt **);
822 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat, IS *, IS *);
823 
824 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
825 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[])
826 {
827   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
828 }
829 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
830 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[])
831 {
832   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
833 }
834 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
835 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
836 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
837 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatrix() (since version 3.8)") static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat)
838 {
839   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
840 }
841 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
842 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
843 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
844 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);
845 
846 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm, Mat, PetscInt, PetscInt, MatReuse, Mat *);
847 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm, Mat, PetscInt, PetscInt, Mat *);
848 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat, Mat);
849 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat, MatReuse, Mat *);
850 PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat, Mat *);
851 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
852 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat, MatReuse, IS *, Mat *);
853 PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat, PetscCount *);
854 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat, Mat, MatReuse, IS *, IS *, Mat *);
855 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *, const PetscInt *[]);
856 
857 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
858 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat, PetscInt n, IS is[], PetscInt ov);
859 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);
860 
861 PETSC_EXTERN PetscErrorCode MatMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
862 
863 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
864 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
865 
866 PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
867 PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);
868 
869 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
870 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);
871 
872 PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
873 PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);
874 
875 PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
876 PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);
877 
878 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping, ISLocalToGlobalMapping);
879 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
880 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat, PetscLayout *, PetscLayout *);
881 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat, PetscLayout, PetscLayout);
882 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
883 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
884 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
885 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
886 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
887 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
888 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
889 
890 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
891 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);
892 
893 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat, Vec, Vec);
894 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat, Vec, Vec, Vec);
895 PETSC_EXTERN PetscErrorCode MatRestrict(Mat, Vec, Vec);
896 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat, Mat, Mat *);
897 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat, Mat, Mat, Mat *);
898 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat, Mat, Mat *);
899 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat, Vec *, Vec *);
900 PETSC_DEPRECATED_FUNCTION("Use MatCreateVecs() (since version 3.6)") static inline PetscErrorCode MatGetVecs(Mat mat, Vec *x, Vec *y)
901 {
902   return MatCreateVecs(mat, x, y);
903 }
904 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat, PetscInt, MPI_Comm, MatReuse, Mat *);
905 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat, MPI_Comm, MatReuse, Mat *);
906 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat, IS *);
907 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat, IS *);
908 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm, Mat, PetscInt, MatReuse, Mat *);
909 
910 /*MC
911    MatSetValue - Set a single entry into a matrix.
912 
913    Not Collective
914 
915    Synopsis:
916      #include <petscmat.h>
917      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
918 
919    Input Parameters:
920 +  m - the matrix
921 .  i - the row location of the entry
922 .  j - the column location of the entry
923 .  va - the value to insert
924 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
925 
926    Level: beginner
927 
928    Note:
929    For efficiency one should use `MatSetValues()` and set several values simultaneously.
930 
931 .seealso: [](chapter_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd`, `InsertMode`, `MatGetValue()`, `MatSetValues()`,
932           `MatSetValueLocal()`, `MatSetValuesLocal()`
933 M*/
934 static inline PetscErrorCode MatSetValue(Mat m, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
935 {
936   return MatSetValues(m, 1, &i, 1, &j, &va, mode);
937 }
938 
939 /*@C
940    MatGetValue - Gets a single value from a matrix
941 
942    Not Collective; can only return a value owned by the given process
943 
944    Input Parameters:
945 +  mat - the matrix
946 .  row - the row location of the entry
947 -  col - the column location of the entry
948 
949    Output Parameter:
950 .  va - the value
951 
952    Level: advanced
953 
954    Notes:
955    The matrix must have been assembled with `MatAssemblyBegin()` and `MatAssemblyEnd` before this call
956 
957    For efficiency one should use `MatGetValues()` and get several values simultaneously.
958 
959    See notes for `MatGetValues()`.
960 
961 .seealso: [](chapter_matrices),  `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd`, `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
962 @*/
963 static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
964 {
965   return MatGetValues(mat, 1, &row, 1, &col, va);
966 }
967 
968 /*MC
969    MatSetValueLocal - Inserts or adds a single value into a matrix, using a local numbering of the nodes.
970 
971    Not Collective
972 
973    Input Parameters:
974 +  m - the matrix
975 .  i - the row location of the entry
976 .  j - the column location of the entry
977 .  va - the value to insert
978 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
979 
980    Level: intermediate
981 
982    Notes:
983    For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.
984 
985    See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.
986 
987 .seealso: [](chapter_matrices), `MatSetValue()`, `MatSetValuesLocal()`
988 M*/
989 static inline PetscErrorCode MatSetValueLocal(Mat m, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
990 {
991   return MatSetValuesLocal(m, 1, &i, 1, &j, &va, mode);
992 }
993 
994 /*MC
995    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
996        row in a matrix providing the data that one can use to correctly preallocate the matrix.
997 
998    Synopsis:
999    #include <petscmat.h>
1000    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
1001 
1002    Collective
1003 
1004    Input Parameters:
1005 +  comm - the communicator that will share the eventually allocated matrix
1006 .  nrows - the number of LOCAL rows in the matrix
1007 -  ncols - the number of LOCAL columns in the matrix
1008 
1009    Output Parameters:
1010 +  dnz - the array that will be passed to the matrix preallocation routines
1011 -  onz - the other array passed to the matrix preallocation routines
1012 
1013    Level: deprecated (since v3.19)
1014 
1015    Notes:
1016    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1017    the use of this routine
1018 
1019    This is a macro that handles its own error checking, it does not return an error code.
1020 
1021    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1022 
1023    Developer Note:
1024     This is a MACRO not a function because it has a leading { that is closed by `PetscPreallocateFinalize()`.
1025 
1026 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1027           `MatPreallocateSymmetricSetLocalBlock()`
1028 M*/
1029 #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
1030   do { \
1031     PetscInt              __nrows = (nrows), __ncols = (ncols), __rstart, __end = 0; \
1032     PetscInt PETSC_UNUSED __start; \
1033     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
1034     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
1035     __start = __end - __ncols; \
1036     (void)__start; \
1037     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
1038   __rstart -= __nrows
1039 
1040 #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateBegin() (since version 3.18)\"") MatPreallocateBegin(__VA_ARGS__)
1041 
1042 /*MC
1043    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1044        inserted using a local number of the rows and columns
1045 
1046    Synopsis:
1047    #include <petscmat.h>
1048    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1049 
1050    Not Collective
1051 
1052    Input Parameters:
1053 +  map - the row mapping from local numbering to global numbering
1054 .  nrows - the number of rows indicated
1055 .  rows - the indices of the rows
1056 .  cmap - the column mapping from local to global numbering
1057 .  ncols - the number of columns in the matrix
1058 .  cols - the columns indicated
1059 .  dnz - the array that will be passed to the matrix preallocation routines
1060 -  onz - the other array passed to the matrix preallocation routines
1061 
1062    Level: deprecated (since v3.19)
1063 
1064    Notes:
1065    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1066    the use of this routine
1067 
1068    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1069 
1070 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1071           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
1072 M*/
1073 #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1074   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));)
1075 
1076 /*MC
1077    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1078        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
1079 
1080    Synopsis:
1081    #include <petscmat.h>
1082    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1083 
1084    Not Collective
1085 
1086    Input Parameters:
1087 +  map - the row mapping from local numbering to global numbering
1088 .  nrows - the number of rows indicated
1089 .  rows - the indices of the rows (these values are mapped to the global values)
1090 .  cmap - the column mapping from local to global numbering
1091 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1092 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1093 .  dnz - the array that will be passed to the matrix preallocation routines
1094 -  onz - the other array passed to the matrix preallocation routines
1095 
1096    Level: deprecated (since v3.19)
1097 
1098    Notes:
1099    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1100    the use of this routine
1101 
1102    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1103 
1104 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1105           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1106 M*/
1107 #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1108   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));)
1109 
1110 /*MC
1111    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1112        inserted using a local number of the rows and columns
1113 
1114    Synopsis:
1115    #include <petscmat.h>
1116    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1117 
1118    Not Collective
1119 
1120    Input Parameters:
1121 +  map - the row mapping from local numbering to global numbering
1122 .  nrows - the number of rows indicated
1123 .  rows - the indices of the rows
1124 .  cmap - the column mapping from local to global numbering
1125 .  ncols - the number of columns in the matrix
1126 .  cols - the columns indicated
1127 .  dnz - the array that will be passed to the matrix preallocation routines
1128 -  onz - the other array passed to the matrix preallocation routines
1129 
1130    Level: deprecated (since v3.19)
1131 
1132    Notes:
1133    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1134    the use of this routine
1135 
1136    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1137 
1138 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1139           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1140 M*/
1141 #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1142   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));)
1143 
1144 /*MC
1145    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1146        inserted using a local number of the rows and columns
1147 
1148    Synopsis:
1149    #include <petscmat.h>
1150    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1151 
1152    Not Collective
1153 
1154    Input Parameters:
1155 +  map - the mapping between local numbering and global numbering
1156 .  nrows - the number of rows indicated
1157 .  rows - the indices of the rows
1158 .  ncols - the number of columns in the matrix
1159 .  cols - the columns indicated
1160 .  dnz - the array that will be passed to the matrix preallocation routines
1161 -  onz - the other array passed to the matrix preallocation routines
1162 
1163    Level: deprecated (since v3.19)
1164 
1165    Notes:
1166    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1167    the use of this routine
1168 
1169    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1170 
1171 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`
1172           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1173 M*/
1174 #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1175   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));)
1176 
1177 /*MC
1178    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1179        inserted using a local number of the rows and columns
1180 
1181    Synopsis:
1182    #include <petscmat.h>
1183    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1184 
1185    Not Collective
1186 
1187    Input Parameters:
1188 +  row - the row
1189 .  ncols - the number of columns in the matrix
1190 -  cols - the columns indicated
1191 
1192    Output Parameters:
1193 +  dnz - the array that will be passed to the matrix preallocation routines
1194 -  onz - the other array passed to the matrix preallocation routines
1195 
1196    Level: deprecated (since v3.19)
1197 
1198    Notes:
1199    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1200    the use of this routine
1201 
1202    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1203 
1204    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1205 
1206 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1207           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1208 M*/
1209 #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1210   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) { \
1211     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1212     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1213   })
1214 
1215 /*MC
1216    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1217        inserted using a local number of the rows and columns
1218 
1219    Synopsis:
1220    #include <petscmat.h>
1221    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1222 
1223    Not Collective
1224 
1225    Input Parameters:
1226 +  nrows - the number of rows indicated
1227 .  rows - the indices of the rows
1228 .  ncols - the number of columns in the matrix
1229 .  cols - the columns indicated
1230 .  dnz - the array that will be passed to the matrix preallocation routines
1231 -  onz - the other array passed to the matrix preallocation routines
1232 
1233    Level: deprecated (since v3.19)
1234 
1235    Notes:
1236    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1237    the use of this routine
1238 
1239    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1240 
1241    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1242 
1243 .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1244           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1245 M*/
1246 #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1247   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
1248     if (cols[__i] >= __end) onz[row - __rstart]++; \
1249     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1250   })
1251 
1252 /*MC
1253    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1254 
1255    Synopsis:
1256    #include <petscmat.h>
1257    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1258 
1259    Not Collective
1260 
1261    Input Parameters:
1262 +  A - matrix
1263 .  row - row where values exist (must be local to this process)
1264 .  ncols - number of columns
1265 .  cols - columns with nonzeros
1266 .  dnz - the array that will be passed to the matrix preallocation routines
1267 -  onz - the other array passed to the matrix preallocation routines
1268 
1269    Level: deprecated (since v3.19)
1270 
1271    Notes:
1272    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1273    the use of this routine
1274 
1275    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1276 
1277    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
1278 
1279 .seealso: [](chapter_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1280           `MatPreallocateSymmetricSetLocalBlock()`
1281 M*/
1282 #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))
1283 
1284 /*MC
1285    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1286        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1287 
1288    Synopsis:
1289    #include <petscmat.h>
1290    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)
1291 
1292    Collective
1293 
1294    Input Parameters:
1295 +  dnz - the array that was be passed to the matrix preallocation routines
1296 -  onz - the other array passed to the matrix preallocation routines
1297 
1298    Level: deprecated (since v3.19)
1299 
1300    Notes:
1301    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1302    the use of this routine
1303 
1304    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1305 
1306    Developer Note:
1307     This is a MACRO not a function because it closes the { started in MatPreallocateBegin().
1308 
1309 .seealso: [](chapter_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1310           `MatPreallocateSymmetricSetLocalBlock()`
1311 M*/
1312 #define MatPreallocateEnd(dnz, onz) \
1313   PetscCall(PetscFree2(dnz, onz)); \
1314   } \
1315   while (0)
1316 
1317 #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateEnd() (since version 3.18)\"") MatPreallocateEnd(__VA_ARGS__)
1318 
1319 /* Routines unique to particular data structures */
1320 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, void *);
1321 
1322 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1323 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);
1324 
1325 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1326 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1327 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1328 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1329 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1330 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscInt, PetscBool);
1331 
1332 #define MAT_SKIP_ALLOCATION -4
1333 
1334 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1335 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1336 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1337 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);
1338 
1339 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1340 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1341 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1342 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1343 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1344 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1345 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1346 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1347 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1348 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1349 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1350 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1351 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1352 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1353 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);
1354 
1355 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1356 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1357 PETSC_DEPRECATED_FUNCTION("Use MatDenseSetLDA() (since version 3.14)") static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
1358 {
1359   return MatDenseSetLDA(A, lda);
1360 }
1361 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);
1362 
1363 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1364 
1365 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1366 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1367 
1368 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1369 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1370 /*
1371   These routines are not usually accessed directly, rather solving is
1372   done through the KSP and PC interfaces.
1373 */
1374 
1375 /*J
1376     MatOrderingType - String with the name of a PETSc matrix ordering. These orderings are most commonly used
1377     to reduce fill in sparse factorizations.
1378 
1379    Level: beginner
1380 
1381    Notes:
1382    If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and instead the external factorization solver package called utilizes one
1383    of its own.
1384 
1385    There is no `MatOrdering` object, the ordering is obtained directly from the matrix with `MatGetOrdering()`
1386 
1387    Developer Note:
1388    This API should be converted to an API similar to those for `MatColoring` and `MatPartitioning`
1389 
1390 .seealso: [](chapter_matrices), [](sec_graph), `MatGetFactor()`, `MatGetOrdering()`, `MatColoringType`, `MatPartitioningType`, `MatCoarsenType`, `MatCoarsenType`,
1391           `PCFactorSetOrderingType()`
1392 J*/
1393 typedef const char *MatOrderingType;
1394 #define MATORDERINGNATURAL       "natural"
1395 #define MATORDERINGND            "nd"
1396 #define MATORDERING1WD           "1wd"
1397 #define MATORDERINGRCM           "rcm"
1398 #define MATORDERINGQMD           "qmd"
1399 #define MATORDERINGROWLENGTH     "rowlength"
1400 #define MATORDERINGWBM           "wbm"
1401 #define MATORDERINGSPECTRAL      "spectral"
1402 #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1403 #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1404 #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 */
1405 #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */
1406 
1407 PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1408 PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1409 PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1410 PETSC_EXTERN PetscFunctionList MatOrderingList;
1411 
1412 #include "petscmatcoarsen.h"
1413 
1414 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1415 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);
1416 
1417 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);
1418 
1419 /*S
1420     MatFactorShiftType - Type of numeric shift used for factorizations
1421 
1422    Values:
1423 +  `MAT_SHIFT_NONE` - do not shift the matrix diagonal entries
1424 .  `MAT_SHIFT_NONZERO` - shift the entries to be non-zero
1425 .  `MAT_SHIFT_POSITIVE_DEFINITE` - shift the entries to force the factorization to be positive definite
1426 -  `MAT_SHIFT_INBLOCKS` - only shift the factors inside the small dense diagonal blocks of the matrix, for example with `MATBAIJ`
1427 
1428    Level: intermediate
1429 
1430 .seealso: [](chapter_matrices), `Mat`, `MatGetFactor()`, `PCFactorSetShiftType()`
1431 S*/
1432 typedef enum {
1433   MAT_SHIFT_NONE,
1434   MAT_SHIFT_NONZERO,
1435   MAT_SHIFT_POSITIVE_DEFINITE,
1436   MAT_SHIFT_INBLOCKS
1437 } MatFactorShiftType;
1438 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1439 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1440 
1441 /*S
1442     MatFactorError - indicates what type of error was generated in a matrix factorization
1443 
1444     Values:
1445 +   `MAT_FACTOR_NOERROR` - there was no error during the factorization
1446 .   `MAT_FACTOR_STRUCT_ZEROPIVOT` - there was a missing entry in a diagonal location of the matrix
1447 .   `MAT_FACTOR_NUMERIC_ZEROPIVOT` - there was a (near) zero pivot during the factorization
1448 .   `MAT_FACTOR_OUTMEMORY` - the factorization has run out of memory
1449 -   `MAT_FACTOR_OTHER` - some other error has occurred.
1450 
1451     Level: intermediate
1452 
1453     Note:
1454     When a factorization is done in a preconditioner `PC` the error may be propagated up to a `PCFailedReason` or a `KSPConvergedReason`
1455 
1456 .seealso: [](chapter_matrices), `Mat`, `MatGetFactor()`, `MatFactorGetError()`, `MatFactorGetErrorZeroPivot()`, `MatFactorClearError()`,
1457           `PCFailedReason`, `PCGetFailedReason()`, `KSPConvergedReason`
1458 S*/
1459 typedef enum {
1460   MAT_FACTOR_NOERROR,
1461   MAT_FACTOR_STRUCT_ZEROPIVOT,
1462   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1463   MAT_FACTOR_OUTMEMORY,
1464   MAT_FACTOR_OTHER
1465 } MatFactorError;
1466 
1467 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1468 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1469 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);
1470 
1471 /*S
1472    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1473 
1474    Level: developer
1475 
1476    Note:
1477    You can use `MatFactorInfoInitialize()` to set default values.
1478 
1479    Fortran Note:
1480    The data is available in a double precision arrays of size `MAT_FACTORINFO_SIZE`
1481 
1482 .seealso: [](chapter_matrices), `Mat`, `MatInfo`, `MatGetFactor()`, `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`,
1483           `MatICCFactorSymbolic()`, `MatICCFactor()`,  `MatFactorInfoInitialize()`
1484 S*/
1485 typedef struct {
1486   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1487   PetscReal usedt;
1488   PetscReal dt;            /* drop tolerance */
1489   PetscReal dtcol;         /* tolerance for pivoting */
1490   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1491   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1492   PetscReal levels;        /* ICC/ILU(levels) */
1493   PetscReal pivotinblocks; /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1494                                    factorization may be faster if do not pivot */
1495   PetscReal zeropivot;     /* pivot is called zero if less than this */
1496   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1497   PetscReal shiftamount;   /* how large the shift is */
1498 } MatFactorInfo;
1499 
1500 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1501 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1502 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1503 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1504 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1505 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1506 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1507 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1508 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1509 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1510 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1511 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1512 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1513 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1514 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1515 PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1516 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1517 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1518 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1519 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1520 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1521 PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1522 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1523 
1524 typedef enum {
1525   MAT_FACTOR_SCHUR_UNFACTORED,
1526   MAT_FACTOR_SCHUR_FACTORED,
1527   MAT_FACTOR_SCHUR_INVERTED
1528 } MatFactorSchurStatus;
1529 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1530 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1531 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1532 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1533 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1534 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1535 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1536 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1537 
1538 PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1539 /*E
1540     MatSORType - What type of (S)SOR to perform
1541 
1542    Values:
1543 +  `SOR_FORWARD_SWEEP` - do a sweep from the first row of the matrix to the last
1544 .  `SOR_BACKWARD_SWEEP` -  do a sweep from the last row to the first
1545 .  `SOR_SYMMETRIC_SWEEP` - do a sweep from the first row to the last and then back to the first
1546 .  `SOR_LOCAL_FORWARD_SWEEP` - each MPI rank does its own forward sweep with no communication
1547 .  `SOR_LOCAL_BACKWARD_SWEEP` - each MPI rank does its own backward sweep with no communication
1548 .  `SOR_LOCAL_SYMMETRIC_SWEEP` - each MPI rank does its own symmetric sweep with no communication
1549 .  `SOR_ZERO_INITIAL_GUESS` - indicates the initial solution is zero so the sweep can avoid unneeded computation
1550 .  `SOR_EISENSTAT` - apply the Eisentat application of SOR, see `PCEISENSTAT`
1551 .  `SOR_APPLY_UPPER` - multiply by the upper triangular portion of the matrix
1552 -  `SOR_APPLY_LOWER` - multiply by the lower triangular portion of the matrix
1553 
1554     Level: beginner
1555 
1556    Note:
1557    These may be bitwise ORd together
1558 
1559    Developer Note:
1560    Since `MatSORType` may be bitwise ORd together, so do not change the numerical values below
1561 
1562 .seealso: [](chapter_matrices), `MatSOR()`
1563 E*/
1564 typedef enum {
1565   SOR_FORWARD_SWEEP         = 1,
1566   SOR_BACKWARD_SWEEP        = 2,
1567   SOR_SYMMETRIC_SWEEP       = 3,
1568   SOR_LOCAL_FORWARD_SWEEP   = 4,
1569   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1570   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1571   SOR_ZERO_INITIAL_GUESS    = 16,
1572   SOR_EISENSTAT             = 32,
1573   SOR_APPLY_UPPER           = 64,
1574   SOR_APPLY_LOWER           = 128
1575 } MatSORType;
1576 PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);
1577 
1578 /*S
1579      MatColoring - Object for managing the coloring of matrices.
1580 
1581    Level: beginner
1582 
1583    Notes:
1584    Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1585    matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).
1586 
1587    Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1588    same object can also be used to efficiently convert data created by Automatic Differentiation tools to PETSc sparse matrices.
1589 
1590 .seealso: [](chapter_matrices), [](sec_graph), `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`,
1591           `MatPartitioning`, `MatColoringType`, `MatPartitioningType`, `MatOrderingType`,  `MatColoringSetWeightType()`,
1592           `MatColoringSetWeights()`, `MatCoarsenType`,  `MatCoarsen`
1593 S*/
1594 typedef struct _p_MatColoring *MatColoring;
1595 
1596 /*J
1597     MatColoringType - String with the name of a PETSc matrix coloring
1598 
1599    Level: beginner
1600 
1601 .seealso: [](chapter_matrices), [](sec_graph), `Mat`, `MatFDColoringCreate()`, `MatColoringSetType()`, `MatColoring`
1602 J*/
1603 typedef const char *MatColoringType;
1604 #define MATCOLORINGJP      "jp"
1605 #define MATCOLORINGPOWER   "power"
1606 #define MATCOLORINGNATURAL "natural"
1607 #define MATCOLORINGSL      "sl"
1608 #define MATCOLORINGLF      "lf"
1609 #define MATCOLORINGID      "id"
1610 #define MATCOLORINGGREEDY  "greedy"
1611 
1612 /*E
1613    MatColoringWeightType - Type of weight scheme used for the coloring algorithm
1614 
1615     Values:
1616 +   `MAT_COLORING_RANDOM`  - Random weights
1617 .   `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1618 -   `MAT_COLORING_LF`      - Last-first weighting.
1619 
1620     Level: intermediate
1621 
1622 .seealso: [](chapter_matrices), `MatColoring`, `MatColoringCreate()`, `MatColoringSetWeightType()`, `MatColoringSetWeights()`
1623 E*/
1624 typedef enum {
1625   MAT_COLORING_WEIGHT_RANDOM,
1626   MAT_COLORING_WEIGHT_LEXICAL,
1627   MAT_COLORING_WEIGHT_LF,
1628   MAT_COLORING_WEIGHT_SL
1629 } MatColoringWeightType;
1630 
1631 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1632 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1633 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1634 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1635 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1636 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1637 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1638 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1639 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1640 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1641 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1642 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1643 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1644 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1645 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1646 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1647 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1648 PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
1649 {
1650   return MatColoringTest(matcoloring, iscoloring);
1651 }
1652 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);
1653 
1654 /*S
1655      MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring
1656 
1657    Level: beginner
1658 
1659    Notes:
1660    This object is creating utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`
1661 
1662    The `SNES` option `-snes_fd_coloring` will cause the Jacobian needed by `SNES` to be computed via a use of this object
1663 
1664 .seealso: [](chapter_matrices), `Mat`, `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1665 S*/
1666 typedef struct _p_MatFDColoring *MatFDColoring;
1667 
1668 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1669 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1670 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1671 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, PetscErrorCode (*)(void), void *);
1672 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, PetscErrorCode (**)(void), void **);
1673 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1674 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1675 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1676 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1677 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1678 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1679 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1680 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);
1681 
1682 /*S
1683      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1684 
1685    Level: developer
1686 
1687 .seealso: [](chapter_matrices), `Mat`, `MatProductType`, `MatTransposeColoringCreate()`
1688 S*/
1689 typedef struct _p_MatTransposeColoring *MatTransposeColoring;
1690 
1691 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1692 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1693 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1694 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);
1695 
1696 /*S
1697      MatPartitioning - Object for managing the partitioning of a matrix or graph
1698 
1699    Level: beginner
1700 
1701    Note:
1702      There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1703      via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)
1704 
1705    Developers Note:
1706      It is an extra maintenance and documentation cost to have two objects with the same functionality. `PetscPartitioner` should be removed
1707 
1708 .seealso: [](chapter_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`, `MatOrderingType`,
1709           `MatCoarsenType`, `MatCoarsenType`
1710 S*/
1711 typedef struct _p_MatPartitioning *MatPartitioning;
1712 
1713 /*J
1714     MatPartitioningType - String with the name of a PETSc matrix partitioning
1715 
1716    Level: beginner
1717 dm
1718 .seealso: [](chapter_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`, `MatColoringType`, `MatOrderingType`,
1719           `MatCoarsenType`, `MatCoarsenType`
1720 J*/
1721 typedef const char *MatPartitioningType;
1722 #define MATPARTITIONINGCURRENT  "current"
1723 #define MATPARTITIONINGAVERAGE  "average"
1724 #define MATPARTITIONINGSQUARE   "square"
1725 #define MATPARTITIONINGPARMETIS "parmetis"
1726 #define MATPARTITIONINGCHACO    "chaco"
1727 #define MATPARTITIONINGPARTY    "party"
1728 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1729 #define MATPARTITIONINGHIERARCH "hierarch"
1730 
1731 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1732 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1733 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1734 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1735 PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1736 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1737 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1738 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1739 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1740 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1741 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1742 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1743 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1744 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1745 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1746 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1747 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1748 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1749 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);
1750 
1751 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1752 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1753 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1754 
1755 typedef enum {
1756   MP_CHACO_MULTILEVEL = 1,
1757   MP_CHACO_SPECTRAL   = 2,
1758   MP_CHACO_LINEAR     = 4,
1759   MP_CHACO_RANDOM     = 5,
1760   MP_CHACO_SCATTERED  = 6
1761 } MPChacoGlobalType;
1762 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1763 typedef enum {
1764   MP_CHACO_KERNIGHAN = 1,
1765   MP_CHACO_NONE      = 2
1766 } MPChacoLocalType;
1767 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1768 typedef enum {
1769   MP_CHACO_LANCZOS = 0,
1770   MP_CHACO_RQI     = 1
1771 } MPChacoEigenType;
1772 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1773 
1774 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1775 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1776 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1777 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1778 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1779 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1780 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1781 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1782 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1783 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1784 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);
1785 
1786 #define MP_PARTY_OPT "opt"
1787 #define MP_PARTY_LIN "lin"
1788 #define MP_PARTY_SCA "sca"
1789 #define MP_PARTY_RAN "ran"
1790 #define MP_PARTY_GBF "gbf"
1791 #define MP_PARTY_GCF "gcf"
1792 #define MP_PARTY_BUB "bub"
1793 #define MP_PARTY_DEF "def"
1794 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1795 #define MP_PARTY_HELPFUL_SETS  "hs"
1796 #define MP_PARTY_KERNIGHAN_LIN "kl"
1797 #define MP_PARTY_NONE          "no"
1798 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1799 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1800 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1801 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);
1802 
1803 typedef enum {
1804   MP_PTSCOTCH_DEFAULT,
1805   MP_PTSCOTCH_QUALITY,
1806   MP_PTSCOTCH_SPEED,
1807   MP_PTSCOTCH_BALANCE,
1808   MP_PTSCOTCH_SAFETY,
1809   MP_PTSCOTCH_SCALABILITY
1810 } MPPTScotchStrategyType;
1811 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1812 
1813 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1814 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1815 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1816 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);
1817 
1818 /*
1819  * hierarchical partitioning
1820  */
1821 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1822 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1823 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1824 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1825 
1826 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);
1827 
1828 /*
1829     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1830     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1831 */
1832 typedef enum {
1833   MATOP_SET_VALUES               = 0,
1834   MATOP_GET_ROW                  = 1,
1835   MATOP_RESTORE_ROW              = 2,
1836   MATOP_MULT                     = 3,
1837   MATOP_MULT_ADD                 = 4,
1838   MATOP_MULT_TRANSPOSE           = 5,
1839   MATOP_MULT_TRANSPOSE_ADD       = 6,
1840   MATOP_SOLVE                    = 7,
1841   MATOP_SOLVE_ADD                = 8,
1842   MATOP_SOLVE_TRANSPOSE          = 9,
1843   MATOP_SOLVE_TRANSPOSE_ADD      = 10,
1844   MATOP_LUFACTOR                 = 11,
1845   MATOP_CHOLESKYFACTOR           = 12,
1846   MATOP_SOR                      = 13,
1847   MATOP_TRANSPOSE                = 14,
1848   MATOP_GETINFO                  = 15,
1849   MATOP_EQUAL                    = 16,
1850   MATOP_GET_DIAGONAL             = 17,
1851   MATOP_DIAGONAL_SCALE           = 18,
1852   MATOP_NORM                     = 19,
1853   MATOP_ASSEMBLY_BEGIN           = 20,
1854   MATOP_ASSEMBLY_END             = 21,
1855   MATOP_SET_OPTION               = 22,
1856   MATOP_ZERO_ENTRIES             = 23,
1857   MATOP_ZERO_ROWS                = 24,
1858   MATOP_LUFACTOR_SYMBOLIC        = 25,
1859   MATOP_LUFACTOR_NUMERIC         = 26,
1860   MATOP_CHOLESKY_FACTOR_SYMBOLIC = 27,
1861   MATOP_CHOLESKY_FACTOR_NUMERIC  = 28,
1862   MATOP_SETUP                    = 29,
1863   MATOP_ILUFACTOR_SYMBOLIC       = 30,
1864   MATOP_ICCFACTOR_SYMBOLIC       = 31,
1865   MATOP_GET_DIAGONAL_BLOCK       = 32,
1866   MATOP_SET_INF                  = 33,
1867   MATOP_DUPLICATE                = 34,
1868   MATOP_FORWARD_SOLVE            = 35,
1869   MATOP_BACKWARD_SOLVE           = 36,
1870   MATOP_ILUFACTOR                = 37,
1871   MATOP_ICCFACTOR                = 38,
1872   MATOP_AXPY                     = 39,
1873   MATOP_CREATE_SUBMATRICES       = 40,
1874   MATOP_INCREASE_OVERLAP         = 41,
1875   MATOP_GET_VALUES               = 42,
1876   MATOP_COPY                     = 43,
1877   MATOP_GET_ROW_MAX              = 44,
1878   MATOP_SCALE                    = 45,
1879   MATOP_SHIFT                    = 46,
1880   MATOP_DIAGONAL_SET             = 47,
1881   MATOP_ZERO_ROWS_COLUMNS        = 48,
1882   MATOP_SET_RANDOM               = 49,
1883   MATOP_GET_ROW_IJ               = 50,
1884   MATOP_RESTORE_ROW_IJ           = 51,
1885   MATOP_GET_COLUMN_IJ            = 52,
1886   MATOP_RESTORE_COLUMN_IJ        = 53,
1887   MATOP_FDCOLORING_CREATE        = 54,
1888   MATOP_COLORING_PATCH           = 55,
1889   MATOP_SET_UNFACTORED           = 56,
1890   MATOP_PERMUTE                  = 57,
1891   MATOP_SET_VALUES_BLOCKED       = 58,
1892   MATOP_CREATE_SUBMATRIX         = 59,
1893   MATOP_DESTROY                  = 60,
1894   MATOP_VIEW                     = 61,
1895   MATOP_CONVERT_FROM             = 62,
1896   /* MATOP_PLACEHOLDER_63=63 */
1897   MATOP_MATMAT_MULT_SYMBOLIC    = 64,
1898   MATOP_MATMAT_MULT_NUMERIC     = 65,
1899   MATOP_SET_LOCAL_TO_GLOBAL_MAP = 66,
1900   MATOP_SET_VALUES_LOCAL        = 67,
1901   MATOP_ZERO_ROWS_LOCAL         = 68,
1902   MATOP_GET_ROW_MAX_ABS         = 69,
1903   MATOP_GET_ROW_MIN_ABS         = 70,
1904   MATOP_CONVERT                 = 71,
1905   MATOP_HAS_OPERATION           = 72,
1906   /* MATOP_PLACEHOLDER_73=73, */
1907   MATOP_SET_VALUES_ADIFOR = 74,
1908   MATOP_FD_COLORING_APPLY = 75,
1909   MATOP_SET_FROM_OPTIONS  = 76,
1910   /* MATOP_PLACEHOLDER_77=77, */
1911   /* MATOP_PLACEHOLDER_78=78, */
1912   MATOP_FIND_ZERO_DIAGONALS       = 79,
1913   MATOP_MULT_MULTIPLE             = 80,
1914   MATOP_SOLVE_MULTIPLE            = 81,
1915   MATOP_GET_INERTIA               = 82,
1916   MATOP_LOAD                      = 83,
1917   MATOP_IS_SYMMETRIC              = 84,
1918   MATOP_IS_HERMITIAN              = 85,
1919   MATOP_IS_STRUCTURALLY_SYMMETRIC = 86,
1920   MATOP_SET_VALUES_BLOCKEDLOCAL   = 87,
1921   MATOP_CREATE_VECS               = 88,
1922   /* MATOP_PLACEHOLDER_89=89, */
1923   MATOP_MAT_MULT_SYMBOLIC = 90,
1924   MATOP_MAT_MULT_NUMERIC  = 91,
1925   /* MATOP_PLACEHOLDER_92=92, */
1926   MATOP_PTAP_SYMBOLIC = 93,
1927   MATOP_PTAP_NUMERIC  = 94,
1928   /* MATOP_PLACEHOLDER_95=95, */
1929   MATOP_MAT_TRANSPOSE_MULT_SYMBO = 96,
1930   MATOP_MAT_TRANSPOSE_MULT_NUMER = 97,
1931   MATOP_BIND_TO_CPU              = 98,
1932   MATOP_PRODUCTSETFROMOPTIONS    = 99,
1933   MATOP_PRODUCTSYMBOLIC          = 100,
1934   MATOP_PRODUCTNUMERIC           = 101,
1935   MATOP_CONJUGATE                = 102,
1936   MATOP_VIEW_NATIVE              = 103,
1937   MATOP_SET_VALUES_ROW           = 104,
1938   MATOP_REAL_PART                = 105,
1939   MATOP_IMAGINARY_PART           = 106,
1940   MATOP_GET_ROW_UPPER_TRIANGULAR = 107,
1941   MATOP_RESTORE_ROW_UPPER_TRIANG = 108,
1942   MATOP_MAT_SOLVE                = 109,
1943   MATOP_MAT_SOLVE_TRANSPOSE      = 110,
1944   MATOP_GET_ROW_MIN              = 111,
1945   MATOP_GET_COLUMN_VECTOR        = 112,
1946   MATOP_MISSING_DIAGONAL         = 113,
1947   MATOP_GET_SEQ_NONZERO_STRUCTUR = 114,
1948   MATOP_CREATE                   = 115,
1949   MATOP_GET_GHOSTS               = 116,
1950   MATOP_GET_LOCAL_SUB_MATRIX     = 117,
1951   MATOP_RESTORE_LOCALSUB_MATRIX  = 118,
1952   MATOP_MULT_DIAGONAL_BLOCK      = 119,
1953   MATOP_HERMITIAN_TRANSPOSE      = 120,
1954   MATOP_MULT_HERMITIAN_TRANSPOSE = 121,
1955   MATOP_MULT_HERMITIAN_TRANS_ADD = 122,
1956   MATOP_GET_MULTI_PROC_BLOCK     = 123,
1957   MATOP_FIND_NONZERO_ROWS        = 124,
1958   MATOP_GET_COLUMN_NORMS         = 125,
1959   MATOP_INVERT_BLOCK_DIAGONAL    = 126,
1960   MATOP_INVERT_VBLOCK_DIAGONAL   = 127,
1961   MATOP_CREATE_SUB_MATRICES_MPI  = 128,
1962   MATOP_SET_VALUES_BATCH         = 129,
1963   /* MATOP_PLACEHOLDER_130=130, */
1964   MATOP_TRANSPOSE_MAT_MULT_SYMBO = 131,
1965   MATOP_TRANSPOSE_MAT_MULT_NUMER = 132,
1966   MATOP_TRANSPOSE_COLORING_CREAT = 133,
1967   MATOP_TRANS_COLORING_APPLY_SPT = 134,
1968   MATOP_TRANS_COLORING_APPLY_DEN = 135,
1969   /* MATOP_PLACEHOLDER_136=136, */
1970   MATOP_RART_SYMBOLIC         = 137,
1971   MATOP_RART_NUMERIC          = 138,
1972   MATOP_SET_BLOCK_SIZES       = 139,
1973   MATOP_AYPX                  = 140,
1974   MATOP_RESIDUAL              = 141,
1975   MATOP_FDCOLORING_SETUP      = 142,
1976   MATOP_FIND_OFFBLOCK_ENTRIES = 143,
1977   MATOP_MPICONCATENATESEQ     = 144,
1978   MATOP_DESTROYSUBMATRICES    = 145,
1979   MATOP_TRANSPOSE_SOLVE       = 146,
1980   MATOP_GET_VALUES_LOCAL      = 147
1981 } MatOperation;
1982 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, void (*)(void));
1983 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, void (**)(void));
1984 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
1985 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
1986 PETSC_DEPRECATED_FUNCTION("Use MatProductClear() (since version 3.14)") static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
1987 {
1988   return MatProductClear(A);
1989 }
1990 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, void (*)(void));
1991 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, void (**)(void));
1992 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, void *);
1993 PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscErrorCode (*)(void *));
1994 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
1995 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
1996 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
1997 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1998 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscErrorCode (*)(void *), MatType, MatType);
1999 PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);
2000 
2001 /*
2002    Codes for matrices stored on disk. By default they are
2003    stored in a universal format. By changing the format with
2004    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
2005    be stored in a way natural for the matrix, for example dense matrices
2006    would be stored as dense. Matrices stored this way may only be
2007    read into matrices of the same type.
2008 */
2009 #define MATRIX_BINARY_FORMAT_DENSE -1
2010 
2011 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);
2012 
2013 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
2014 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
2015 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
2016 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
2017 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
2018 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
2019 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
2020 PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
2021 PETSC_EXTERN                PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat, MatReuse, Mat *);
2022 
2023 /*S
2024      MatNullSpace - Object that removes a null space from a vector, i.e.
2025          orthogonalizes the vector to a subspace
2026 
2027    Level: advanced
2028 
2029 .seealso: [](chapter_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2030 S*/
2031 typedef struct _p_MatNullSpace *MatNullSpace;
2032 
2033 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
2034 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, PetscErrorCode (*)(MatNullSpace, Vec, void *), void *);
2035 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
2036 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
2037 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
2038 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
2039 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
2040 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
2041 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
2042 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
2043 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
2044 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
2045 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
2046 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);
2047 
2048 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
2049 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
2050 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);
2051 
2052 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
2053 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
2054 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);
2055 
2056 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
2057 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);
2058 
2059 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
2060 {
2061   return MatComputeOperator(A, PETSC_NULLPTR, B);
2062 }
2063 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
2064 {
2065   return MatComputeOperatorTranspose(A, PETSC_NULLPTR, B);
2066 }
2067 
2068 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
2069 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
2070 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
2071 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2072 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
2073 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
2074 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
2075 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2076 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
2077 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
2078 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
2079 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
2080 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
2081 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);
2082 
2083 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);
2084 
2085 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2086 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
2087 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, PetscErrorCode (*)(void *, Vec, Vec), void *);
2088 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, PetscErrorCode (*)(void *, PetscInt, Vec, PetscScalar *));
2089 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, PetscErrorCode (*)(void *, Vec));
2090 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
2091 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
2092 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
2093 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
2094 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
2095 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
2096 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
2097 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, PetscErrorCode (*)(void *, Vec, Vec, PetscScalar *), void *);
2098 
2099 /*S
2100     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2101               Jacobian vector products
2102 
2103     Level: developer
2104 
2105     Notes:
2106     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure
2107 
2108      MatMFFD*() methods actually take the `Mat` as their first argument. Not a `MatMFFD` data structure
2109 
2110     This functionality is often obtained using `MatCreateSNESMF()` or with `SNES` solvers using `-snes_mf` or `-snes_mf_operator`
2111 
2112 .seealso: [](chapter_matrices), `MatMFFDType`, `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`,
2113           `MatCreateSNESMF()`, `SNES`, `-snes_mf`, `-snes_mf_operator`
2114 S*/
2115 typedef struct _p_MatMFFD *MatMFFD;
2116 
2117 /*J
2118     MatMFFDType - algorithm used to compute the `h` used in computing matrix-vector products via differencing of a function
2119 
2120    Values:
2121 +   `MATMFFD_DS` - an algorithm described by Dennis and Schnabel
2122 -   `MATMFFD_WP` - the Walker-Pernice strategy.
2123 
2124    Level: beginner
2125 
2126 .seealso: [](chapter_matrices), `MatMFFDSetType()`, `MatMFFDRegister()`, `MatMFFDSetFunction()`, `MatCreateMFFD()`
2127 J*/
2128 typedef const char *MatMFFDType;
2129 #define MATMFFD_DS "ds"
2130 #define MATMFFD_WP "wp"
2131 
2132 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2133 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));
2134 
2135 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2136 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);
2137 
2138 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);
2139 
2140 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2141 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
2142 
2143 #ifdef PETSC_HAVE_H2OPUS
2144 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatH2OpusKernel)(PetscInt, PetscReal[], PetscReal[], void *);
2145 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernel, void *, PetscReal, PetscInt, PetscInt, Mat *);
2146 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2147 PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2148 PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
2149 PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat, PetscReal);
2150 PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat, PetscBool);
2151 PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat, PetscBool *);
2152 PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat, IS *);
2153 PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2154 PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2155 #endif
2156 
2157 #ifdef PETSC_HAVE_HTOOL
2158 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatHtoolKernel)(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2159 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernel, void *, Mat *);
2160 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat, MatHtoolKernel, void *);
2161 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat, IS *);
2162 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat, IS *);
2163 PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat, PetscBool);
2164 
2165 /*E
2166      MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`
2167 
2168     Values:
2169 +   `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2170 .   `MAT_HTOOL_COMPRESSOR_FULL_ACA` - full adaptive cross approximation
2171 -   `MAT_HTOOL_COMPRESSOR_SVD` - singular value decomposition
2172 
2173    Level: intermediate
2174 
2175 .seealso: [](chapter_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2176 E*/
2177 typedef enum {
2178   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2179   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2180   MAT_HTOOL_COMPRESSOR_SVD
2181 } MatHtoolCompressorType;
2182 
2183 /*E
2184      MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`
2185 
2186     Values:
2187 +   `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default) - axis computed via principle component analysis, split uniformly
2188 .   `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC` - axis computed via principle component analysis, split barycentrically
2189 .   `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR` - axis along the largest extent of the bounding box, split uniformly
2190 -   `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically
2191 
2192    Level: intermediate
2193 
2194     Note:
2195     Higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
2196 
2197 .seealso: [](chapter_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2198 E*/
2199 typedef enum {
2200   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2201   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2202   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2203   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2204 } MatHtoolClusteringType;
2205 #endif
2206 
2207 #ifdef PETSC_HAVE_MUMPS
2208 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2209 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2210 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2211 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);
2212 
2213 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2214 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2215 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2216 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2217 PETSC_EXTERN PetscErrorCode MatMumpsGetNullPivots(Mat, PetscInt *, PetscInt **);
2218 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2219 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2220 #endif
2221 
2222 #ifdef PETSC_HAVE_MKL_PARDISO
2223 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2224 #endif
2225 
2226 #ifdef PETSC_HAVE_MKL_CPARDISO
2227 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2228 #endif
2229 
2230 #ifdef PETSC_HAVE_SUPERLU
2231 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2232 #endif
2233 
2234 #ifdef PETSC_HAVE_SUPERLU_DIST
2235 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2236 #endif
2237 
2238 #ifdef PETSC_HAVE_STRUMPACK
2239 /*E
2240     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `MATSOLVERSTRUMPACK``
2241 
2242     Values:
2243 +  `MAT_STRUMPACK_NATURAL` - use the current ordering
2244 .  `MAT_STRUMPACK_METIS` - use MeTis to compute an ordering
2245 .  `MAT_STRUMPACK_PARMETIS` - use ParMeTis to compute an ordering
2246 .  `MAT_STRUMPACK_SCOTCH` - use Scotch to compute an ordering
2247 .  `MAT_STRUMPACK_PTSCOTCH` - use parallel Scotch to compute an ordering
2248 -  `MAT_STRUMPACK_RCM` - use an RCM ordering
2249 
2250     Level: intermediate
2251 
2252     Developer Note:
2253     Should be called `MatSTRUMPACKReorderingType`
2254 
2255 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetHSSRelTol()`, `MatSTRUMPACKSetReordering()`
2256 E*/
2257 typedef enum {
2258   MAT_STRUMPACK_NATURAL  = 0,
2259   MAT_STRUMPACK_METIS    = 1,
2260   MAT_STRUMPACK_PARMETIS = 2,
2261   MAT_STRUMPACK_SCOTCH   = 3,
2262   MAT_STRUMPACK_PTSCOTCH = 4,
2263   MAT_STRUMPACK_RCM      = 5
2264 } MatSTRUMPACKReordering;
2265 
2266 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2267 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2268 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat, PetscReal);
2269 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat, PetscReal rtol)
2270 {
2271   return MatSTRUMPACKSetHSSRelTol(mat, rtol);
2272 }
2273 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat, PetscReal);
2274 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat, PetscInt);
2275 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat, PetscInt hssminsize)
2276 {
2277   return MatSTRUMPACKSetHSSMinSepSize(mat, hssminsize);
2278 }
2279 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat, PetscInt);
2280 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat, PetscInt);
2281 #endif
2282 
2283 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2284 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2285 PETSC_DEPRECATED_FUNCTION("Use MatBindToCPU (since v3.13)") static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2286 {
2287   return MatBindToCPU(A, flg);
2288 }
2289 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2290 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);
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 
2362 PETSC_EXTERN PetscErrorCode MatCreateSeqSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2363 PETSC_EXTERN PetscErrorCode MatCreateSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2364 #endif
2365 
2366 #ifdef PETSC_HAVE_HIP
2367 /*E
2368     MatHIPSPARSEStorageFormat - indicates the storage format for `MATAIJHIPSPARSE` (GPU)
2369     matrices.
2370 
2371     Values:
2372 +   `MAT_HIPSPARSE_CSR` - Compressed Sparse Row
2373 .   `MAT_HIPSPARSE_ELL` - Ellpack
2374 -   `MAT_HIPSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format
2375 
2376     Level: intermediate
2377 
2378 .seealso: [](chapter_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
2379 E*/
2380 
2381 typedef enum {
2382   MAT_HIPSPARSE_CSR,
2383   MAT_HIPSPARSE_ELL,
2384   MAT_HIPSPARSE_HYB
2385 } MatHIPSPARSEStorageFormat;
2386 
2387 /* these will be strings associated with enumerated type defined above */
2388 PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];
2389 
2390 /*E
2391     MatHIPSPARSEFormatOperation - indicates the operation of `MATAIJHIPSPARSE` (GPU)
2392     matrices whose operation should use a particular storage format.
2393 
2394     Values:
2395 +   `MAT_HIPSPARSE_MULT_DIAG` - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2396 .   `MAT_HIPSPARSE_MULT_OFFDIAG` - sets the storage format for the offdiagonal matrix in the parallel `MatMult()`
2397 .   `MAT_HIPSPARSE_MULT` - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2398 -   `MAT_HIPSPARSE_ALL` - sets the storage format for all HIPSPARSE (GPU) matrices
2399 
2400     Level: intermediate
2401 
2402 .seealso: [](chapter_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
2403 E*/
2404 typedef enum {
2405   MAT_HIPSPARSE_MULT_DIAG,
2406   MAT_HIPSPARSE_MULT_OFFDIAG,
2407   MAT_HIPSPARSE_MULT,
2408   MAT_HIPSPARSE_ALL
2409 } MatHIPSPARSEFormatOperation;
2410 
2411 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2412 PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2413 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
2414 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
2415 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2416 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2417 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
2418 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
2419 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
2420 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
2421 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
2422 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);
2423 
2424 PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2425 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2426 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
2427 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
2428 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
2429 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
2430 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
2431 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
2432 PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
2433 PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
2434 PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);
2435 #endif
2436 
2437 #if defined(PETSC_HAVE_VIENNACL)
2438 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2439 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2440 #endif
2441 
2442 #if defined(PETSC_HAVE_FFTW)
2443 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2444 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2445 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2446 #endif
2447 
2448 #if defined(PETSC_HAVE_SCALAPACK)
2449 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2450 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2451 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2452 #endif
2453 
2454 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2455 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2456 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2457 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2458 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2459 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2460 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2461 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2462 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);
2463 
2464 PETSC_EXTERN PetscErrorCode MatChop(Mat, PetscReal);
2465 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);
2466 
2467 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);
2468 
2469 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);
2470 
2471 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2472 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);
2473 
2474 PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);
2475 
2476 PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, Mat *);
2477 PETSC_EXTERN PetscErrorCode MatEliminateZeros(Mat);
2478 
2479 PETSC_EXTERN PetscErrorCode VecCreateMatDense(Vec, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar *, Mat *);
2480 #endif
2481