xref: /petsc/include/petscmat.h (revision 9d2ffcd05da5025bde689a57482bdbeea04a4861)
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), [](ch_matrices) and `MatType` for available matrix types
19 
20 .seealso: [](doc_matrix), [](ch_matrices), `MatCreate()`, `MatType`, `MatSetType()`, `MatDestroy()`
21 S*/
22 typedef struct _p_Mat *Mat;
23 
24 /*J
25     MatType - String with the name of a PETSc matrix type
26 
27    Level: beginner
28 
29    Note:
30    [](doc_matrix) for a table of available matrix types
31 
32 .seealso: [](doc_matrix), [](ch_matrices), `MatSetType()`, `Mat`, `MatSolverType`, `MatRegister()`
33 J*/
34 typedef const char *MatType;
35 #define MATSAME                      "same"
36 #define MATMAIJ                      "maij"
37 #define MATSEQMAIJ                   "seqmaij"
38 #define MATMPIMAIJ                   "mpimaij"
39 #define MATKAIJ                      "kaij"
40 #define MATSEQKAIJ                   "seqkaij"
41 #define MATMPIKAIJ                   "mpikaij"
42 #define MATIS                        "is"
43 #define MATAIJ                       "aij"
44 #define MATSEQAIJ                    "seqaij"
45 #define MATMPIAIJ                    "mpiaij"
46 #define MATAIJCRL                    "aijcrl"
47 #define MATSEQAIJCRL                 "seqaijcrl"
48 #define MATMPIAIJCRL                 "mpiaijcrl"
49 #define MATAIJCUSPARSE               "aijcusparse"
50 #define MATSEQAIJCUSPARSE            "seqaijcusparse"
51 #define MATMPIAIJCUSPARSE            "mpiaijcusparse"
52 #define MATAIJHIPSPARSE              "aijhipsparse"
53 #define MATSEQAIJHIPSPARSE           "seqaijhipsparse"
54 #define MATMPIAIJHIPSPARSE           "mpiaijhipsparse"
55 #define MATAIJKOKKOS                 "aijkokkos"
56 #define MATSEQAIJKOKKOS              "seqaijkokkos"
57 #define MATMPIAIJKOKKOS              "mpiaijkokkos"
58 #define MATAIJVIENNACL               "aijviennacl"
59 #define MATSEQAIJVIENNACL            "seqaijviennacl"
60 #define MATMPIAIJVIENNACL            "mpiaijviennacl"
61 #define MATAIJPERM                   "aijperm"
62 #define MATSEQAIJPERM                "seqaijperm"
63 #define MATMPIAIJPERM                "mpiaijperm"
64 #define MATAIJSELL                   "aijsell"
65 #define MATSEQAIJSELL                "seqaijsell"
66 #define MATMPIAIJSELL                "mpiaijsell"
67 #define MATAIJMKL                    "aijmkl"
68 #define MATSEQAIJMKL                 "seqaijmkl"
69 #define MATMPIAIJMKL                 "mpiaijmkl"
70 #define MATBAIJMKL                   "baijmkl"
71 #define MATSEQBAIJMKL                "seqbaijmkl"
72 #define MATMPIBAIJMKL                "mpibaijmkl"
73 #define MATSHELL                     "shell"
74 #define MATCENTERING                 "centering"
75 #define MATDENSE                     "dense"
76 #define MATDENSECUDA                 "densecuda"
77 #define MATDENSEHIP                  "densehip"
78 #define MATSEQDENSE                  "seqdense"
79 #define MATSEQDENSECUDA              "seqdensecuda"
80 #define MATSEQDENSEHIP               "seqdensehip"
81 #define MATMPIDENSE                  "mpidense"
82 #define MATMPIDENSECUDA              "mpidensecuda"
83 #define MATMPIDENSEHIP               "mpidensehip"
84 #define MATELEMENTAL                 "elemental"
85 #define MATSCALAPACK                 "scalapack"
86 #define MATBAIJ                      "baij"
87 #define MATSEQBAIJ                   "seqbaij"
88 #define MATMPIBAIJ                   "mpibaij"
89 #define MATMPIADJ                    "mpiadj"
90 #define MATSBAIJ                     "sbaij"
91 #define MATSEQSBAIJ                  "seqsbaij"
92 #define MATMPISBAIJ                  "mpisbaij"
93 #define MATMFFD                      "mffd"
94 #define MATNORMAL                    "normal"
95 #define MATNORMALHERMITIAN           "normalh"
96 #define MATLRC                       "lrc"
97 #define MATSCATTER                   "scatter"
98 #define MATBLOCKMAT                  "blockmat"
99 #define MATCOMPOSITE                 "composite"
100 #define MATFFT                       "fft"
101 #define MATFFTW                      "fftw"
102 #define MATSEQCUFFT                  "seqcufft"
103 #define MATSEQHIPFFT                 "seqhipfft"
104 #define MATTRANSPOSEMAT              PETSC_DEPRECATED_MACRO("GCC warning \"MATTRANSPOSEMAT macro is deprecated use MATTRANSPOSEVIRTUAL (since version 3.18)\"") "transpose"
105 #define MATTRANSPOSEVIRTUAL          "transpose"
106 #define MATHERMITIANTRANSPOSEVIRTUAL "hermitiantranspose"
107 #define MATSCHURCOMPLEMENT           "schurcomplement"
108 #define MATPYTHON                    "python"
109 #define MATHYPRE                     "hypre"
110 #define MATHYPRESTRUCT               "hyprestruct"
111 #define MATHYPRESSTRUCT              "hypresstruct"
112 #define MATSUBMATRIX                 "submatrix"
113 #define MATLOCALREF                  "localref"
114 #define MATNEST                      "nest"
115 #define MATPREALLOCATOR              "preallocator"
116 #define MATSELL                      "sell"
117 #define MATSEQSELL                   "seqsell"
118 #define MATMPISELL                   "mpisell"
119 #define MATDUMMY                     "dummy"
120 #define MATLMVM                      "lmvm"
121 #define MATLMVMDFP                   "lmvmdfp"
122 #define MATLMVMBFGS                  "lmvmbfgs"
123 #define MATLMVMSR1                   "lmvmsr1"
124 #define MATLMVMBROYDEN               "lmvmbroyden"
125 #define MATLMVMBADBROYDEN            "lmvmbadbroyden"
126 #define MATLMVMSYMBROYDEN            "lmvmsymbroyden"
127 #define MATLMVMSYMBADBROYDEN         "lmvmsymbadbroyden"
128 #define MATLMVMDIAGBROYDEN           "lmvmdiagbroyden"
129 #define MATCONSTANTDIAGONAL          "constantdiagonal"
130 #define MATHTOOL                     "htool"
131 #define MATH2OPUS                    "h2opus"
132 
133 /*J
134     MatSolverType - String with the name of a PETSc factorization based matrix solver type.
135 
136     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
137 
138    Level: beginner
139 
140    Note:
141    `MATSOLVERUMFPACK`, `MATSOLVERCHOLMOD`, `MATSOLVERKLU`, `MATSOLVERSPQR` form the SuiteSparse package; you can use `--download-suitesparse` as
142    a ./configure option to install them
143 
144 .seealso: [](sec_matfactor), [](ch_matrices), `MatGetFactor()`, `PCFactorSetMatSolverType()`, `PCFactorGetMatSolverType()`
145 J*/
146 typedef const char *MatSolverType;
147 #define MATSOLVERSUPERLU         "superlu"
148 #define MATSOLVERSUPERLU_DIST    "superlu_dist"
149 #define MATSOLVERSTRUMPACK       "strumpack"
150 #define MATSOLVERUMFPACK         "umfpack"
151 #define MATSOLVERCHOLMOD         "cholmod"
152 #define MATSOLVERKLU             "klu"
153 #define MATSOLVERSPARSEELEMENTAL "sparseelemental"
154 #define MATSOLVERELEMENTAL       "elemental"
155 #define MATSOLVERSCALAPACK       "scalapack"
156 #define MATSOLVERESSL            "essl"
157 #define MATSOLVERLUSOL           "lusol"
158 #define MATSOLVERMUMPS           "mumps"
159 #define MATSOLVERMKL_PARDISO     "mkl_pardiso"
160 #define MATSOLVERMKL_CPARDISO    "mkl_cpardiso"
161 #define MATSOLVERPASTIX          "pastix"
162 #define MATSOLVERMATLAB          "matlab"
163 #define MATSOLVERPETSC           "petsc"
164 #define MATSOLVERBAS             "bas"
165 #define MATSOLVERCUSPARSE        "cusparse"
166 #define MATSOLVERCUSPARSEBAND    "cusparseband"
167 #define MATSOLVERCUDA            "cuda"
168 #define MATSOLVERHIPSPARSE       "hipsparse"
169 #define MATSOLVERHIPSPARSEBAND   "hipsparseband"
170 #define MATSOLVERHIP             "hip"
171 #define MATSOLVERKOKKOS          "kokkos"
172 #define MATSOLVERKOKKOSDEVICE    "kokkosdevice"
173 #define MATSOLVERSPQR            "spqr"
174 
175 /*E
176     MatFactorType - indicates what type of factorization is requested
177 
178     Values:
179 +  `MAT_FACTOR_LU` - LU factorization
180 .  `MAT_FACTOR_CHOLESKY` - Cholesky factorization
181 .  `MAT_FACTOR_ILU` - ILU factorization
182 .  `MAT_FACTOR_ICC` - incomplete Cholesky factorization
183 .  `MAT_FACTOR_ILUDT` - ILU factorization with drop tolerance
184 -  `MAT_FACTOR_QR` - QR factorization
185 
186     Level: beginner
187 
188 .seealso: [](ch_matrices), `MatSolverType`, `MatGetFactor()`, `MatGetFactorAvailable()`, `MatSolverTypeRegister()`
189 E*/
190 typedef enum {
191   MAT_FACTOR_NONE,
192   MAT_FACTOR_LU,
193   MAT_FACTOR_CHOLESKY,
194   MAT_FACTOR_ILU,
195   MAT_FACTOR_ICC,
196   MAT_FACTOR_ILUDT,
197   MAT_FACTOR_QR,
198   MAT_FACTOR_NUM_TYPES
199 } MatFactorType;
200 PETSC_EXTERN const char *const MatFactorTypes[];
201 
202 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat, MatSolverType, MatFactorType, Mat *);
203 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat, MatSolverType, MatFactorType, PetscBool *);
204 PETSC_EXTERN PetscErrorCode MatFactorGetCanUseOrdering(Mat, PetscBool *);
205 PETSC_DEPRECATED_FUNCTION("Use MatFactorGetCanUseOrdering() (since version 3.15)") static inline PetscErrorCode MatFactorGetUseOrdering(Mat A, PetscBool *b)
206 {
207   return MatFactorGetCanUseOrdering(A, b);
208 }
209 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat, MatSolverType *);
210 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat, MatFactorType *);
211 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat, MatFactorType);
212 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatSolverFunction)(Mat, MatFactorType, Mat *);
213 PETSC_EXTERN PetscErrorCode            MatSolverTypeRegister(MatSolverType, MatType, MatFactorType, MatSolverFunction);
214 PETSC_EXTERN PetscErrorCode            MatSolverTypeGet(MatSolverType, MatType, MatFactorType, PetscBool *, PetscBool *, MatSolverFunction *);
215 typedef MatSolverType MatSolverPackage PETSC_DEPRECATED_TYPEDEF("Use MatSolverType (since version 3.9)");
216 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeRegister() (since version 3.9)") static inline PetscErrorCode MatSolverPackageRegister(MatSolverType stype, MatType mtype, MatFactorType ftype, MatSolverFunction f)
217 {
218   return MatSolverTypeRegister(stype, mtype, ftype, f);
219 }
220 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeGet() (since version 3.9)") static inline PetscErrorCode MatSolverPackageGet(MatSolverType stype, MatType mtype, MatFactorType ftype, PetscBool *foundmtype, PetscBool *foundstype, MatSolverFunction *f)
221 {
222   return MatSolverTypeGet(stype, mtype, ftype, foundmtype, foundstype, f);
223 }
224 
225 /*E
226     MatProductType - indicates what type of matrix product is requested
227 
228     Values:
229 +  `MATPRODUCT_AB` - product of two matrices
230 .  `MATPRODUCT_AtB` - product of the transpose of a given matrix with a matrix
231 .  `MATPRODUCT_ABt` - product of a matrix with the transpose of another given matrix
232 .  `MATPRODUCT_PtAP` - the triple product of the transpose of a matrix with another matrix and itself
233 .  `MATPRODUCT_RARt` - the triple product of a matrix, another matrix and the transpose of the first matrix
234 -  `MATPRODUCT_ABC` - the product of three matrices
235 
236     Level: beginner
237 
238 .seealso: [](sec_matmatproduct), [](ch_matrices), `MatProductSetType()`
239 E*/
240 typedef enum {
241   MATPRODUCT_UNSPECIFIED = 0,
242   MATPRODUCT_AB,
243   MATPRODUCT_AtB,
244   MATPRODUCT_ABt,
245   MATPRODUCT_PtAP,
246   MATPRODUCT_RARt,
247   MATPRODUCT_ABC
248 } MatProductType;
249 PETSC_EXTERN const char *const MatProductTypes[];
250 
251 /*J
252     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
253 
254    Level: beginner
255 
256 .seealso: [](sec_matmatproduct), [](ch_matrices), `MatSetType()`, `Mat`, `MatProductSetAlgorithm()`, `MatProductType`
257 J*/
258 typedef const char *MatProductAlgorithm;
259 #define MATPRODUCTALGORITHMDEFAULT         "default"
260 #define MATPRODUCTALGORITHMSORTED          "sorted"
261 #define MATPRODUCTALGORITHMSCALABLE        "scalable"
262 #define MATPRODUCTALGORITHMSCALABLEFAST    "scalable_fast"
263 #define MATPRODUCTALGORITHMHEAP            "heap"
264 #define MATPRODUCTALGORITHMBHEAP           "btheap"
265 #define MATPRODUCTALGORITHMLLCONDENSED     "llcondensed"
266 #define MATPRODUCTALGORITHMROWMERGE        "rowmerge"
267 #define MATPRODUCTALGORITHMOUTERPRODUCT    "outerproduct"
268 #define MATPRODUCTALGORITHMATB             "at*b"
269 #define MATPRODUCTALGORITHMRAP             "rap"
270 #define MATPRODUCTALGORITHMNONSCALABLE     "nonscalable"
271 #define MATPRODUCTALGORITHMSEQMPI          "seqmpi"
272 #define MATPRODUCTALGORITHMBACKEND         "backend"
273 #define MATPRODUCTALGORITHMOVERLAPPING     "overlapping"
274 #define MATPRODUCTALGORITHMMERGED          "merged"
275 #define MATPRODUCTALGORITHMALLATONCE       "allatonce"
276 #define MATPRODUCTALGORITHMALLATONCEMERGED "allatonce_merged"
277 #define MATPRODUCTALGORITHMALLGATHERV      "allgatherv"
278 #define MATPRODUCTALGORITHMCYCLIC          "cyclic"
279 #if defined(PETSC_HAVE_HYPRE)
280   #define MATPRODUCTALGORITHMHYPRE "hypre"
281 #endif
282 
283 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat, Mat, Mat, Mat *);
284 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat, Mat, Mat, Mat);
285 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat, MatProductType);
286 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat, MatProductAlgorithm);
287 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat, PetscReal);
288 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
289 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
290 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
291 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat, Mat, Mat, Mat);
292 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
293 PETSC_EXTERN PetscErrorCode MatProductView(Mat, PetscViewer);
294 PETSC_EXTERN PetscErrorCode MatProductGetType(Mat, MatProductType *);
295 PETSC_EXTERN PetscErrorCode MatProductGetMats(Mat, Mat *, Mat *, Mat *);
296 
297 /* Logging support */
298 #define MAT_FILE_CLASSID 1211216 /* used to indicate matrices in binary files */
299 PETSC_EXTERN PetscClassId MAT_CLASSID;
300 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
301 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
302 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
303 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
304 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
305 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
306 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
307 
308 /*E
309     MatReuse - Indicates if matrices obtained from a previous call to `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatConvert()` or several other functions
310      are to be reused to store the new matrix values.
311 
312    Values:
313 +  `MAT_INITIAL_MATRIX` - create a new matrix
314 .  `MAT_REUSE_MATRIX` - reuse the matrix created with a previous call that used `MAT_INITIAL_MATRIX`
315 .  `MAT_INPLACE_MATRIX` - replace the first input matrix with the new matrix (not applicable to all functions)
316 -  `MAT_IGNORE_MATRIX` - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
317 
318     Level: beginner
319 
320 .seealso: [](ch_matrices), `Mat`, `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatDestroyMatrices()`, `MatConvert()`
321 E*/
322 typedef enum {
323   MAT_INITIAL_MATRIX,
324   MAT_REUSE_MATRIX,
325   MAT_IGNORE_MATRIX,
326   MAT_INPLACE_MATRIX
327 } MatReuse;
328 
329 /*E
330     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to `MatCreateSubMatrices()`
331      include the matrix values. Currently it is only used by `MatGetSeqNonzeroStructure()`.
332 
333     Level: developer
334 
335     Values:
336 +  `MAT_DO_NOT_GET_VALUES` - do not copy the matrix values
337 -  `MAT_GET_VALUES` - copy the matrix values
338 
339     Developer Note:
340     Why is not just a boolean used for this information?
341 
342 .seealso: [](ch_matrices), `Mat`, `MatDuplicateOption`, `PetscCopyMode`, `MatGetSeqNonzeroStructure()`
343 E*/
344 typedef enum {
345   MAT_DO_NOT_GET_VALUES,
346   MAT_GET_VALUES
347 } MatCreateSubMatrixOption;
348 
349 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
350 
351 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm, Mat *);
352 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat, PetscInt, PetscInt, PetscInt, PetscInt);
353 PETSC_EXTERN PetscErrorCode MatSetType(Mat, MatType);
354 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat, VecType *);
355 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat, VecType);
356 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
357 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat, PetscObject, const char[]);
358 PETSC_EXTERN PetscErrorCode MatRegister(const char[], PetscErrorCode (*)(Mat));
359 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[], const char[], const char[]);
360 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat, const char[]);
361 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefixFactor(Mat, const char[]);
362 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefixFactor(Mat, const char[]);
363 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat, const char[]);
364 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat, const char *[]);
365 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat, PetscBool);
366 
367 PETSC_EXTERN PetscFunctionList MatList;
368 PETSC_EXTERN PetscFunctionList MatColoringList;
369 PETSC_EXTERN PetscFunctionList MatPartitioningList;
370 
371 /*E
372     MatStructure - Indicates if two matrices have the same nonzero structure
373 
374    Values:
375 +  `SAME_NONZERO_PATTERN`  - the two matrices have identical nonzero patterns
376 .  `DIFFERENT_NONZERO_PATTERN` - the two matrices may have different nonzero patterns
377 .  `SUBSET_NONZERO_PATTERN` - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
378 -  `UNKNOWN_NONZERO_PATTERN` - there is no known relationship between the nonzero patterns. In this case the implementations
379                                may try to detect a relationship to optimize the operation
380 
381     Level: beginner
382 
383 .seealso: [](ch_matrices), `Mat`, `MatCopy()`, `MatAXPY()`, `MatAYPX()`
384 E*/
385 typedef enum {
386   DIFFERENT_NONZERO_PATTERN,
387   SUBSET_NONZERO_PATTERN,
388   SAME_NONZERO_PATTERN,
389   UNKNOWN_NONZERO_PATTERN
390 } MatStructure;
391 PETSC_EXTERN const char *const MatStructures[];
392 
393 #if defined                 PETSC_HAVE_MKL_SPARSE
394 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
395 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
396 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
397 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
398 #endif
399 
400 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
401 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
402 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat, PetscInt, const PetscInt[]);
403 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
404 
405 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
406 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
407 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
408 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
409 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
410 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
411 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArray(Mat, const PetscScalar[]);
412 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], PetscInt[], PetscInt[], PetscScalar[], Mat *);
413 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm, Mat, Mat, const PetscInt[], Mat *);
414 
415 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
416 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
417 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
418 
419 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat, PetscCount, PetscInt[], PetscInt[]);
420 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat, PetscCount, PetscInt[], PetscInt[]);
421 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat, const PetscScalar[], InsertMode);
422 
423 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscInt[], Mat *);
424 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
425 
426 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
427 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
428 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
429 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
430 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], const PetscInt[]);
431 
432 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, void *, Mat *);
433 PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm, PetscInt, PetscInt, Mat *);
434 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat, Mat *);
435 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat, Mat *);
436 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat, Mat, Vec, Mat, Mat *);
437 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat, Mat *, Mat *, Vec *, Mat *);
438 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, ISLocalToGlobalMapping, ISLocalToGlobalMapping, Mat *);
439 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
440 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
441 
442 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm, VecScatter, Mat *);
443 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat, VecScatter);
444 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat, VecScatter *);
445 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt *, Mat *);
446 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat, Mat);
447 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
448 typedef enum {
449   MAT_COMPOSITE_MERGE_RIGHT,
450   MAT_COMPOSITE_MERGE_LEFT
451 } MatCompositeMergeType;
452 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat, MatCompositeMergeType);
453 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm, PetscInt, const Mat *, Mat *);
454 typedef enum {
455   MAT_COMPOSITE_ADDITIVE,
456   MAT_COMPOSITE_MULTIPLICATIVE
457 } MatCompositeType;
458 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat, MatCompositeType);
459 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat, MatCompositeType *);
460 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat, MatStructure);
461 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat, MatStructure *);
462 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat, PetscInt *);
463 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat, PetscInt, Mat *);
464 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat, const PetscScalar *);
465 
466 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm, PetscInt, const PetscInt[], MatType, Mat *);
467 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm, PetscInt, const PetscInt[], Mat *);
468 
469 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat, Mat *);
470 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat, Mat *);
471 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat, Mat *);
472 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat, Mat *);
473 PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat, Mat *);
474 PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat, Mat *);
475 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat, IS, IS, Mat *);
476 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat, Mat, IS, IS);
477 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat, IS, IS, Mat *);
478 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar, Mat *);
479 
480 #if defined(PETSC_HAVE_HYPRE)
481 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
482 #endif
483 
484 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat, const char[]);
485 PETSC_EXTERN PetscErrorCode MatPythonGetType(Mat, const char *[]);
486 
487 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
488 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
489 PETSC_EXTERN PetscErrorCode MatDestroy(Mat *);
490 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat, PetscObjectState *);
491 
492 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
493 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
494 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
495 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat, Mat *);
496 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat, PetscScalar *);
497 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat, const PetscScalar **);
498 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat, PetscInt, const PetscInt *, PetscScalar *);
499 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat, Mat);
500 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat, MatReuse, Mat *);
501 
502 PETSC_EXTERN PetscErrorCode MatSetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
503 PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat, IS, IS, const PetscScalar[], InsertMode);
504 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
505 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat, PetscInt, const PetscScalar[]);
506 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat, PetscInt, const PetscScalar[]);
507 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt[], const PetscScalar[]);
508 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat, PetscRandom);
509 
510 /*S
511      MatStencil - Data structure (C struct) for storing information about rows and
512         columns of a matrix as indexed on an associated grid. These are arguments to `MatSetStencil()` and `MatSetBlockStencil()`
513 
514    Level: beginner
515 
516    Notes:
517    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).
518    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.
519 
520    For stencil access to vectors see `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`.
521 
522    For staggered grids, see `DMStagStencil`
523 
524    Fortran Note:
525    See `MatSetValuesStencil()` for details.
526 
527 .seealso: [](ch_matrices), `Mat`, `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`,
528           `DMStagStencil`
529 S*/
530 typedef struct {
531   PetscInt k, j, i, c;
532 } MatStencil;
533 
534 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
535 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
536 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat, PetscInt, const PetscInt[], const PetscInt[], PetscInt);
537 
538 /*E
539     MatAssemblyType - Indicates if the process of setting values into the matrix is complete, and the matrix is ready for use
540 
541     Values:
542 +   `MAT_FLUSH_ASSEMBLY` - you will continue to put values into the matrix
543 -   `MAT_FINAL_ASSEMBLY` - you wish to use the matrix with the values currently inserted
544 
545     Level: beginner
546 
547 .seealso: [](ch_matrices), `Mat`, `MatSetValues`, `MatAssemblyBegin()`, `MatAssemblyEnd()`
548 E*/
549 typedef enum {
550   MAT_FLUSH_ASSEMBLY = 1,
551   MAT_FINAL_ASSEMBLY = 0
552 } MatAssemblyType;
553 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat, MatAssemblyType);
554 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat, MatAssemblyType);
555 PETSC_EXTERN PetscErrorCode MatAssembled(Mat, PetscBool *);
556 
557 /*E
558     MatOption - Options that may be set for a matrix that indicate properties of the matrix or affect its behavior or storage
559 
560     Level: beginner
561 
562    Note:
563    See `MatSetOption()` for the use of the options
564 
565    Developer Note:
566    Entries that are negative need not be called collectively by all processes.
567 
568 .seealso: [](ch_matrices), `Mat`, `MatSetOption()`
569 E*/
570 typedef enum {
571   MAT_OPTION_MIN                  = -3,
572   MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
573   MAT_ROW_ORIENTED                = -1,
574   MAT_SYMMETRIC                   = 1,
575   MAT_STRUCTURALLY_SYMMETRIC      = 2,
576   MAT_FORCE_DIAGONAL_ENTRIES      = 3,
577   MAT_IGNORE_OFF_PROC_ENTRIES     = 4,
578   MAT_USE_HASH_TABLE              = 5,
579   MAT_KEEP_NONZERO_PATTERN        = 6,
580   MAT_IGNORE_ZERO_ENTRIES         = 7,
581   MAT_USE_INODES                  = 8,
582   MAT_HERMITIAN                   = 9,
583   MAT_SYMMETRY_ETERNAL            = 10,
584   MAT_NEW_NONZERO_LOCATION_ERR    = 11,
585   MAT_IGNORE_LOWER_TRIANGULAR     = 12,
586   MAT_ERROR_LOWER_TRIANGULAR      = 13,
587   MAT_GETROW_UPPERTRIANGULAR      = 14,
588   MAT_SPD                         = 15,
589   MAT_NO_OFF_PROC_ZERO_ROWS       = 16,
590   MAT_NO_OFF_PROC_ENTRIES         = 17,
591   MAT_NEW_NONZERO_LOCATIONS       = 18,
592   MAT_NEW_NONZERO_ALLOCATION_ERR  = 19,
593   MAT_SUBSET_OFF_PROC_ENTRIES     = 20,
594   MAT_SUBMAT_SINGLEIS             = 21,
595   MAT_STRUCTURE_ONLY              = 22,
596   MAT_SORTED_FULL                 = 23,
597   MAT_FORM_EXPLICIT_TRANSPOSE     = 24,
598   MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
599   MAT_SPD_ETERNAL                 = 26,
600   MAT_OPTION_MAX                  = 27
601 } MatOption;
602 
603 PETSC_EXTERN const char *const *MatOptions;
604 PETSC_EXTERN PetscErrorCode     MatSetOption(Mat, MatOption, PetscBool);
605 PETSC_EXTERN PetscErrorCode     MatGetOption(Mat, MatOption, PetscBool *);
606 PETSC_EXTERN PetscErrorCode     MatPropagateSymmetryOptions(Mat, Mat);
607 PETSC_EXTERN PetscErrorCode     MatGetType(Mat, MatType *);
608 
609 PETSC_EXTERN PetscErrorCode    MatGetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
610 PETSC_EXTERN PetscErrorCode    MatGetRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
611 PETSC_EXTERN PetscErrorCode    MatRestoreRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
612 PETSC_EXTERN PetscErrorCode    MatGetRowUpperTriangular(Mat);
613 PETSC_EXTERN PetscErrorCode    MatRestoreRowUpperTriangular(Mat);
614 PETSC_EXTERN PetscErrorCode    MatGetColumnVector(Mat, Vec, PetscInt);
615 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArray(Mat, PetscScalar *[]);
616 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayRead(Mat, const PetscScalar *[]);
617 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayWrite(Mat, PetscScalar *[]);
618 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArray(Mat, PetscScalar *[]);
619 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayRead(Mat, const PetscScalar *[]);
620 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayWrite(Mat, PetscScalar *[]);
621 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetMaxRowNonzeros(Mat, PetscInt *);
622 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetValuesLocalFast(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
623 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetType(Mat, MatType);
624 PETSC_EXTERN PetscErrorCode    MatSeqAIJKron(Mat, Mat, MatReuse, Mat *);
625 PETSC_EXTERN PetscErrorCode    MatSeqAIJRegister(const char[], PetscErrorCode (*)(Mat, MatType, MatReuse, Mat *));
626 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
627 PETSC_EXTERN PetscErrorCode    MatSeqBAIJGetArray(Mat, PetscScalar *[]);
628 PETSC_EXTERN PetscErrorCode    MatSeqBAIJRestoreArray(Mat, PetscScalar *[]);
629 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJGetArray(Mat, PetscScalar *[]);
630 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJRestoreArray(Mat, PetscScalar *[]);
631 PETSC_EXTERN PetscErrorCode    MatDenseGetArray(Mat, PetscScalar *[]);
632 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArray(Mat, PetscScalar *[]);
633 PETSC_EXTERN PetscErrorCode    MatDensePlaceArray(Mat, const PetscScalar[]);
634 PETSC_EXTERN PetscErrorCode    MatDenseReplaceArray(Mat, const PetscScalar[]);
635 PETSC_EXTERN PetscErrorCode    MatDenseResetArray(Mat);
636 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayRead(Mat, const PetscScalar *[]);
637 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayRead(Mat, const PetscScalar *[]);
638 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWrite(Mat, PetscScalar *[]);
639 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWrite(Mat, PetscScalar *[]);
640 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayAndMemType(Mat, PetscScalar *[], PetscMemType *);
641 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayAndMemType(Mat, PetscScalar *[]);
642 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayReadAndMemType(Mat, const PetscScalar *[], PetscMemType *);
643 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayReadAndMemType(Mat, const PetscScalar *[]);
644 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWriteAndMemType(Mat, PetscScalar *[], PetscMemType *);
645 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWriteAndMemType(Mat, PetscScalar *[]);
646 PETSC_EXTERN PetscErrorCode    MatGetBlockSize(Mat, PetscInt *);
647 PETSC_EXTERN PetscErrorCode    MatSetBlockSize(Mat, PetscInt);
648 PETSC_EXTERN PetscErrorCode    MatGetBlockSizes(Mat, PetscInt *, PetscInt *);
649 PETSC_EXTERN PetscErrorCode    MatSetBlockSizes(Mat, PetscInt, PetscInt);
650 PETSC_EXTERN PetscErrorCode    MatSetBlockSizesFromMats(Mat, Mat, Mat);
651 PETSC_EXTERN PetscErrorCode    MatSetVariableBlockSizes(Mat, PetscInt, PetscInt *);
652 PETSC_EXTERN PetscErrorCode    MatGetVariableBlockSizes(Mat, PetscInt *, const PetscInt **);
653 
654 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat, PetscInt, PetscScalar *[]);
655 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat, PetscScalar *[]);
656 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat, PetscInt, Vec *);
657 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat, PetscInt, Vec *);
658 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat, PetscInt, Vec *);
659 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat, PetscInt, Vec *);
660 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat, PetscInt, Vec *);
661 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat, PetscInt, Vec *);
662 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
663 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat, Mat *);
664 
665 PETSC_EXTERN PetscErrorCode MatMult(Mat, Vec, Vec);
666 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat, Vec, Vec);
667 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat, Vec, Vec, Vec);
668 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat, Vec, Vec);
669 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat, Vec, Vec);
670 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat, Mat, PetscReal, PetscBool *);
671 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat, Mat, PetscReal, PetscBool *);
672 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat, Vec, Vec, Vec);
673 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat, Vec, Vec, Vec);
674 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat, Mat, Mat);
675 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat, Mat, Mat);
676 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat, Mat, Mat);
677 PETSC_EXTERN PetscErrorCode MatResidual(Mat, Vec, Vec, Vec);
678 
679 /*E
680     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
681   its numerical values copied over or just its nonzero structure.
682 
683     Values:
684 +   `MAT_DO_NOT_COPY_VALUES`    - Create a matrix using the same nonzero pattern as the original matrix,
685                                with zeros for the numerical values
686 .   `MAT_COPY_VALUES`           - Create a matrix with the same nonzero pattern as the original matrix
687                                and with the same numerical values.
688 -   `MAT_SHARE_NONZERO_PATTERN` - Create a matrix that shares the nonzero structure with the previous matrix
689                                and does not copy it, using zeros for the numerical values. The parent and
690                                child matrices will share their index (i and j) arrays, and you cannot
691                                insert new nonzero entries into either matrix
692 
693     Level: beginner
694 
695   Note:
696   Many matrix types (including `MATSEQAIJ`) do not support the `MAT_SHARE_NONZERO_PATTERN` optimization; in
697   this case the behavior is as if `MAT_DO_NOT_COPY_VALUES` has been specified.
698 
699 .seealso: [](ch_matrices), `Mat`, `MatDuplicate()`
700 E*/
701 typedef enum {
702   MAT_DO_NOT_COPY_VALUES,
703   MAT_COPY_VALUES,
704   MAT_SHARE_NONZERO_PATTERN
705 } MatDuplicateOption;
706 
707 PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
708 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);
709 
710 PETSC_EXTERN PetscErrorCode MatCopy(Mat, Mat, MatStructure);
711 PETSC_EXTERN PetscErrorCode MatView(Mat, PetscViewer);
712 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat, PetscReal, PetscBool *);
713 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat, PetscBool *);
714 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat, PetscReal, PetscBool *);
715 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat, PetscBool *, PetscBool *);
716 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat, PetscBool *, PetscBool *);
717 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat, PetscBool *, PetscBool *);
718 PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat, PetscBool *, PetscBool *);
719 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat, PetscBool *, PetscInt *);
720 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
721 
722 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
723 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
724 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
725 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
726 
727 /*S
728      MatInfo - Context of matrix information, used with `MatGetInfo()`
729 
730    Level: intermediate
731 
732    Fortran Note:
733    Information is stored as a double-precision array of dimension `MAT_INFO_SIZE`
734 
735 .seealso: [](ch_matrices), `Mat`, `MatGetInfo()`, `MatInfoType`
736 S*/
737 typedef struct {
738   PetscLogDouble block_size;                          /* block size */
739   PetscLogDouble nz_allocated, nz_used, nz_unneeded;  /* number of nonzeros */
740   PetscLogDouble memory;                              /* memory allocated */
741   PetscLogDouble assemblies;                          /* number of matrix assemblies called */
742   PetscLogDouble mallocs;                             /* number of mallocs during MatSetValues() */
743   PetscLogDouble fill_ratio_given, fill_ratio_needed; /* fill ratio for LU/ILU */
744   PetscLogDouble factor_mallocs;                      /* number of mallocs during factorization */
745 } MatInfo;
746 
747 /*E
748     MatInfoType - Indicates if you want information about the local part of the matrix,
749      the entire parallel matrix or the maximum over all the local parts.
750 
751     Values:
752 +   `MAT_LOCAL` - values for each MPI process part of the matrix
753 .   `MAT_GLOBAL_MAX` - maximum of each value over all MPI processes
754 -   `MAT_GLOBAL_SUM` - sum of each value over all MPI processes
755 
756     Level: beginner
757 
758 .seealso: [](ch_matrices), `MatGetInfo()`, `MatInfo`
759 E*/
760 typedef enum {
761   MAT_LOCAL      = 1,
762   MAT_GLOBAL_MAX = 2,
763   MAT_GLOBAL_SUM = 3
764 } MatInfoType;
765 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat, MatInfoType, MatInfo *);
766 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat, Vec);
767 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat, Vec, PetscInt[]);
768 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat, Vec, PetscInt[]);
769 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat, Vec, PetscInt[]);
770 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat, Vec, PetscInt[]);
771 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat, Vec);
772 PETSC_EXTERN PetscErrorCode MatTranspose(Mat, MatReuse, Mat *);
773 PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat, Mat *);
774 PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat, Mat);
775 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat, MatReuse, Mat *);
776 PETSC_EXTERN PetscErrorCode MatPermute(Mat, IS, IS, Mat *);
777 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat, Vec, Vec);
778 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat, Vec, InsertMode);
779 
780 PETSC_EXTERN PetscErrorCode MatEqual(Mat, Mat, PetscBool *);
781 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat, Mat, PetscInt, PetscBool *);
782 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat, Mat, PetscInt, PetscBool *);
783 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
784 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
785 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
786 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
787 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
788 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
789 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
790 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
791 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
792 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat, PetscInt, PetscBool *);
793 
794 PETSC_EXTERN PetscErrorCode MatNorm(Mat, NormType, PetscReal *);
795 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat, NormType, PetscReal *);
796 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat, PetscScalar *);
797 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat, PetscReal *);
798 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat, PetscReal *);
799 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat, PetscScalar *);
800 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat, PetscReal *);
801 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat, PetscReal *);
802 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat, PetscInt, PetscReal *);
803 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
804 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
805 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
806 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat, IS, PetscScalar, Vec, Vec);
807 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
808 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
809 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
810 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat, IS, PetscScalar, Vec, Vec);
811 
812 PETSC_EXTERN PetscErrorCode MatGetSize(Mat, PetscInt *, PetscInt *);
813 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat, PetscInt *, PetscInt *);
814 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat, PetscInt *, PetscInt *);
815 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat, const PetscInt **);
816 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat, PetscInt *, PetscInt *);
817 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat, const PetscInt **);
818 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat, IS *, IS *);
819 
820 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
821 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[])
822 {
823   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
824 }
825 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
826 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[])
827 {
828   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
829 }
830 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
831 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
832 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
833 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatrix() (since version 3.8)") static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat)
834 {
835   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
836 }
837 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
838 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
839 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
840 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);
841 
842 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm, Mat, PetscInt, PetscInt, MatReuse, Mat *);
843 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm, Mat, PetscInt, PetscInt, Mat *);
844 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat, Mat);
845 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat, MatReuse, Mat *);
846 PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat, Mat *);
847 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
848 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat, MatReuse, IS *, Mat *);
849 PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat, PetscCount *);
850 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat, Mat, MatReuse, IS *, IS *, Mat *);
851 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *, const PetscInt *[]);
852 
853 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
854 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat, PetscInt n, IS is[], PetscInt ov);
855 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);
856 
857 PETSC_EXTERN PetscErrorCode MatMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
858 
859 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
860 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
861 
862 PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
863 PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);
864 
865 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
866 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);
867 
868 PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
869 PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);
870 
871 PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
872 PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);
873 
874 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping, ISLocalToGlobalMapping);
875 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
876 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat, PetscLayout *, PetscLayout *);
877 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat, PetscLayout, PetscLayout);
878 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
879 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
880 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
881 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
882 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
883 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
884 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
885 
886 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
887 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);
888 
889 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat, Vec, Vec);
890 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat, Vec, Vec, Vec);
891 PETSC_EXTERN PetscErrorCode MatRestrict(Mat, Vec, Vec);
892 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat, Mat, Mat *);
893 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat, Mat, Mat, Mat *);
894 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat, Mat, Mat *);
895 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat, Vec *, Vec *);
896 PETSC_DEPRECATED_FUNCTION("Use MatCreateVecs() (since version 3.6)") static inline PetscErrorCode MatGetVecs(Mat mat, Vec *x, Vec *y)
897 {
898   return MatCreateVecs(mat, x, y);
899 }
900 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat, PetscInt, MPI_Comm, MatReuse, Mat *);
901 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat, MPI_Comm, MatReuse, Mat *);
902 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat, IS *);
903 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat, IS *);
904 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm, Mat, PetscInt, MatReuse, Mat *);
905 
906 /*MC
907    MatSetValue - Set a single entry into a matrix.
908 
909    This value may be cached, so `MatAssemblyBegin()` and `MatAssemblyEnd()`
910    MUST be called after all calls to `MatSetValue()` have been completed.
911 
912    Synopsis:
913      #include <petscmat.h>
914      PetscErrorCode MatSetValue(Mat m,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode)
915 
916    Not Collective
917 
918    Input Parameters:
919 +  m - the matrix
920 .  i - the row location of the entry
921 .  j - the column location of the entry
922 .  va - the value to insert
923 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
924 
925    Level: beginner
926 
927    Note:
928    For efficiency one should use `MatSetValues()` and set several values simultaneously.
929 
930 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd`, `InsertMode`, `MatGetValue()`, `MatSetValues()`,
931           `MatSetValueLocal()`, `MatSetValuesLocal()`
932 M*/
933 static inline PetscErrorCode MatSetValue(Mat m, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
934 {
935   return MatSetValues(m, 1, &i, 1, &j, &va, mode);
936 }
937 
938 /*@C
939    MatGetValue - Gets a single value from a matrix
940 
941    Not Collective; can only return a value owned by the given process
942 
943    Input Parameters:
944 +  mat - the matrix
945 .  row - the row location of the entry
946 -  col - the column location of the entry
947 
948    Output Parameter:
949 .  va - the value
950 
951    Level: advanced
952 
953    Notes:
954    The matrix must have been assembled with `MatAssemblyBegin()` and `MatAssemblyEnd` before this call
955 
956    For efficiency one should use `MatGetValues()` and get several values simultaneously.
957 
958    See notes for `MatGetValues()`.
959 
960 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd`, `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
961 @*/
962 static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
963 {
964   return MatGetValues(mat, 1, &row, 1, &col, va);
965 }
966 
967 /*MC
968    MatSetValueLocal - Inserts or adds a single value into a matrix, using a local numbering of the nodes.
969 
970    Not Collective
971 
972    Input Parameters:
973 +  m - the matrix
974 .  i - the row location of the entry
975 .  j - the column location of the entry
976 .  va - the value to insert
977 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
978 
979    Level: intermediate
980 
981    Notes:
982    For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.
983 
984    See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.
985 
986 .seealso: [](ch_matrices), `MatSetValue()`, `MatSetValuesLocal()`
987 M*/
988 static inline PetscErrorCode MatSetValueLocal(Mat m, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
989 {
990   return MatSetValuesLocal(m, 1, &i, 1, &j, &va, mode);
991 }
992 
993 /*MC
994    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
995        row in a matrix providing the data that one can use to correctly preallocate the matrix.
996 
997    Synopsis:
998    #include <petscmat.h>
999    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
1000 
1001    Collective
1002 
1003    Input Parameters:
1004 +  comm - the communicator that will share the eventually allocated matrix
1005 .  nrows - the number of LOCAL rows in the matrix
1006 -  ncols - the number of LOCAL columns in the matrix
1007 
1008    Output Parameters:
1009 +  dnz - the array that will be passed to the matrix preallocation routines
1010 -  onz - the other array passed to the matrix preallocation routines
1011 
1012    Level: deprecated (since v3.19)
1013 
1014    Notes:
1015    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1016    the use of this routine
1017 
1018    This is a macro that handles its own error checking, it does not return an error code.
1019 
1020    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1021 
1022    Developer Note:
1023     This is a MACRO not a function because it has a leading { that is closed by `PetscPreallocateFinalize()`.
1024 
1025 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1026           `MatPreallocateSymmetricSetLocalBlock()`
1027 M*/
1028 #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
1029   do { \
1030     PetscInt              __nrows = (nrows), __ncols = (ncols), __rstart, __end = 0; \
1031     PetscInt PETSC_UNUSED __start; \
1032     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
1033     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
1034     __start = __end - __ncols; \
1035     (void)__start; \
1036     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
1037   __rstart -= __nrows
1038 
1039 #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateBegin() (since version 3.18)\"") MatPreallocateBegin(__VA_ARGS__)
1040 
1041 /*MC
1042    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1043        inserted using a local number of the rows and columns
1044 
1045    Synopsis:
1046    #include <petscmat.h>
1047    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1048 
1049    Not Collective
1050 
1051    Input Parameters:
1052 +  map - the row mapping from local numbering to global numbering
1053 .  nrows - the number of rows indicated
1054 .  rows - the indices of the rows
1055 .  cmap - the column mapping from local to global numbering
1056 .  ncols - the number of columns in the matrix
1057 .  cols - the columns indicated
1058 .  dnz - the array that will be passed to the matrix preallocation routines
1059 -  onz - the other array passed to the matrix preallocation routines
1060 
1061    Level: deprecated (since v3.19)
1062 
1063    Notes:
1064    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1065    the use of this routine
1066 
1067    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1068 
1069 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1070           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
1071 M*/
1072 #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1073   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));)
1074 
1075 /*MC
1076    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1077        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
1078 
1079    Synopsis:
1080    #include <petscmat.h>
1081    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1082 
1083    Not Collective
1084 
1085    Input Parameters:
1086 +  map - the row mapping from local numbering to global numbering
1087 .  nrows - the number of rows indicated
1088 .  rows - the indices of the rows (these values are mapped to the global values)
1089 .  cmap - the column mapping from local to global numbering
1090 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1091 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1092 .  dnz - the array that will be passed to the matrix preallocation routines
1093 -  onz - the other array passed to the matrix preallocation routines
1094 
1095    Level: deprecated (since v3.19)
1096 
1097    Notes:
1098    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1099    the use of this routine
1100 
1101    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1102 
1103 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1104           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1105 M*/
1106 #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1107   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));)
1108 
1109 /*MC
1110    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1111        inserted using a local number of the rows and columns
1112 
1113    Synopsis:
1114    #include <petscmat.h>
1115    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1116 
1117    Not Collective
1118 
1119    Input Parameters:
1120 +  map - the row mapping from local numbering to global numbering
1121 .  nrows - the number of rows indicated
1122 .  rows - the indices of the rows
1123 .  cmap - the column mapping from local to global numbering
1124 .  ncols - the number of columns in the matrix
1125 .  cols - the columns indicated
1126 .  dnz - the array that will be passed to the matrix preallocation routines
1127 -  onz - the other array passed to the matrix preallocation routines
1128 
1129    Level: deprecated (since v3.19)
1130 
1131    Notes:
1132    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1133    the use of this routine
1134 
1135    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1136 
1137 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1138           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1139 M*/
1140 #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1141   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));)
1142 
1143 /*MC
1144    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1145        inserted using a local number of the rows and columns
1146 
1147    Synopsis:
1148    #include <petscmat.h>
1149    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1150 
1151    Not Collective
1152 
1153    Input Parameters:
1154 +  map - the mapping between local numbering and global numbering
1155 .  nrows - the number of rows indicated
1156 .  rows - the indices of the rows
1157 .  ncols - the number of columns in the matrix
1158 .  cols - the columns indicated
1159 .  dnz - the array that will be passed to the matrix preallocation routines
1160 -  onz - the other array passed to the matrix preallocation routines
1161 
1162    Level: deprecated (since v3.19)
1163 
1164    Notes:
1165    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1166    the use of this routine
1167 
1168    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1169 
1170 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`
1171           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1172 M*/
1173 #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1174   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));)
1175 
1176 /*MC
1177    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1178        inserted using a local number of the rows and columns
1179 
1180    Synopsis:
1181    #include <petscmat.h>
1182    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1183 
1184    Not Collective
1185 
1186    Input Parameters:
1187 +  row - the row
1188 .  ncols - the number of columns in the matrix
1189 -  cols - the columns indicated
1190 
1191    Output Parameters:
1192 +  dnz - the array that will be passed to the matrix preallocation routines
1193 -  onz - the other array passed to the matrix preallocation routines
1194 
1195    Level: deprecated (since v3.19)
1196 
1197    Notes:
1198    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1199    the use of this routine
1200 
1201    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1202 
1203    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1204 
1205 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1206           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1207 M*/
1208 #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1209   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) { \
1210     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1211     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1212   })
1213 
1214 /*MC
1215    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1216        inserted using a local number of the rows and columns
1217 
1218    Synopsis:
1219    #include <petscmat.h>
1220    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1221 
1222    Not Collective
1223 
1224    Input Parameters:
1225 +  nrows - the number of rows indicated
1226 .  rows - the indices of the rows
1227 .  ncols - the number of columns in the matrix
1228 .  cols - the columns indicated
1229 .  dnz - the array that will be passed to the matrix preallocation routines
1230 -  onz - the other array passed to the matrix preallocation routines
1231 
1232    Level: deprecated (since v3.19)
1233 
1234    Notes:
1235    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1236    the use of this routine
1237 
1238    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1239 
1240    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1241 
1242 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1243           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1244 M*/
1245 #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1246   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
1247     if (cols[__i] >= __end) onz[row - __rstart]++; \
1248     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1249   })
1250 
1251 /*MC
1252    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1253 
1254    Synopsis:
1255    #include <petscmat.h>
1256    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1257 
1258    Not Collective
1259 
1260    Input Parameters:
1261 +  A - matrix
1262 .  row - row where values exist (must be local to this process)
1263 .  ncols - number of columns
1264 .  cols - columns with nonzeros
1265 .  dnz - the array that will be passed to the matrix preallocation routines
1266 -  onz - the other array passed to the matrix preallocation routines
1267 
1268    Level: deprecated (since v3.19)
1269 
1270    Notes:
1271    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1272    the use of this routine
1273 
1274    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1275 
1276    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
1277 
1278 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1279           `MatPreallocateSymmetricSetLocalBlock()`
1280 M*/
1281 #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))
1282 
1283 /*MC
1284    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1285        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1286 
1287    Synopsis:
1288    #include <petscmat.h>
1289    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)
1290 
1291    Collective
1292 
1293    Input Parameters:
1294 +  dnz - the array that was be passed to the matrix preallocation routines
1295 -  onz - the other array passed to the matrix preallocation routines
1296 
1297    Level: deprecated (since v3.19)
1298 
1299    Notes:
1300    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1301    the use of this routine
1302 
1303    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1304 
1305    Developer Note:
1306     This is a MACRO not a function because it closes the { started in MatPreallocateBegin().
1307 
1308 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1309           `MatPreallocateSymmetricSetLocalBlock()`
1310 M*/
1311 #define MatPreallocateEnd(dnz, onz) \
1312   PetscCall(PetscFree2(dnz, onz)); \
1313   } \
1314   while (0)
1315 
1316 #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateEnd() (since version 3.18)\"") MatPreallocateEnd(__VA_ARGS__)
1317 
1318 /* Routines unique to particular data structures */
1319 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, void *);
1320 
1321 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1322 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);
1323 
1324 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1325 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1326 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1327 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1328 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1329 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscInt, PetscBool);
1330 
1331 #define MAT_SKIP_ALLOCATION -4
1332 
1333 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1334 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1335 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1336 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);
1337 
1338 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1339 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1340 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1341 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1342 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1343 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1344 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1345 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1346 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1347 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1348 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1349 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1350 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1351 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1352 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);
1353 
1354 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1355 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1356 PETSC_DEPRECATED_FUNCTION("Use MatDenseSetLDA() (since version 3.14)") static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
1357 {
1358   return MatDenseSetLDA(A, lda);
1359 }
1360 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);
1361 
1362 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1363 
1364 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1365 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1366 
1367 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1368 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1369 /*
1370   These routines are not usually accessed directly, rather solving is
1371   done through the KSP and PC interfaces.
1372 */
1373 
1374 /*J
1375     MatOrderingType - String with the name of a PETSc matrix ordering. These orderings are most commonly used
1376     to reduce fill in sparse factorizations.
1377 
1378    Level: beginner
1379 
1380    Notes:
1381    If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and instead the external factorization solver package called utilizes one
1382    of its own.
1383 
1384    There is no `MatOrdering` object, the ordering is obtained directly from the matrix with `MatGetOrdering()`
1385 
1386    Developer Note:
1387    This API should be converted to an API similar to those for `MatColoring` and `MatPartitioning`
1388 
1389 .seealso: [](ch_matrices), [](sec_graph), `MatGetFactor()`, `MatGetOrdering()`, `MatColoringType`, `MatPartitioningType`, `MatCoarsenType`, `MatCoarsenType`,
1390           `PCFactorSetOrderingType()`
1391 J*/
1392 typedef const char *MatOrderingType;
1393 #define MATORDERINGNATURAL       "natural"
1394 #define MATORDERINGND            "nd"
1395 #define MATORDERING1WD           "1wd"
1396 #define MATORDERINGRCM           "rcm"
1397 #define MATORDERINGQMD           "qmd"
1398 #define MATORDERINGROWLENGTH     "rowlength"
1399 #define MATORDERINGWBM           "wbm"
1400 #define MATORDERINGSPECTRAL      "spectral"
1401 #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1402 #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1403 #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 */
1404 #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */
1405 
1406 PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1407 PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1408 PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1409 PETSC_EXTERN PetscFunctionList MatOrderingList;
1410 
1411 #include "petscmatcoarsen.h"
1412 
1413 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1414 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);
1415 
1416 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);
1417 
1418 /*S
1419     MatFactorShiftType - Type of numeric shift used for factorizations
1420 
1421    Values:
1422 +  `MAT_SHIFT_NONE` - do not shift the matrix diagonal entries
1423 .  `MAT_SHIFT_NONZERO` - shift the entries to be non-zero
1424 .  `MAT_SHIFT_POSITIVE_DEFINITE` - shift the entries to force the factorization to be positive definite
1425 -  `MAT_SHIFT_INBLOCKS` - only shift the factors inside the small dense diagonal blocks of the matrix, for example with `MATBAIJ`
1426 
1427    Level: intermediate
1428 
1429 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `PCFactorSetShiftType()`
1430 S*/
1431 typedef enum {
1432   MAT_SHIFT_NONE,
1433   MAT_SHIFT_NONZERO,
1434   MAT_SHIFT_POSITIVE_DEFINITE,
1435   MAT_SHIFT_INBLOCKS
1436 } MatFactorShiftType;
1437 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1438 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1439 
1440 /*S
1441     MatFactorError - indicates what type of error was generated in a matrix factorization
1442 
1443     Values:
1444 +   `MAT_FACTOR_NOERROR` - there was no error during the factorization
1445 .   `MAT_FACTOR_STRUCT_ZEROPIVOT` - there was a missing entry in a diagonal location of the matrix
1446 .   `MAT_FACTOR_NUMERIC_ZEROPIVOT` - there was a (near) zero pivot during the factorization
1447 .   `MAT_FACTOR_OUTMEMORY` - the factorization has run out of memory
1448 -   `MAT_FACTOR_OTHER` - some other error has occurred.
1449 
1450     Level: intermediate
1451 
1452     Note:
1453     When a factorization is done in a preconditioner `PC` the error may be propagated up to a `PCFailedReason` or a `KSPConvergedReason`
1454 
1455 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `MatFactorGetError()`, `MatFactorGetErrorZeroPivot()`, `MatFactorClearError()`,
1456           `PCFailedReason`, `PCGetFailedReason()`, `KSPConvergedReason`
1457 S*/
1458 typedef enum {
1459   MAT_FACTOR_NOERROR,
1460   MAT_FACTOR_STRUCT_ZEROPIVOT,
1461   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1462   MAT_FACTOR_OUTMEMORY,
1463   MAT_FACTOR_OTHER
1464 } MatFactorError;
1465 
1466 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1467 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1468 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);
1469 
1470 /*S
1471    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1472 
1473    Level: developer
1474 
1475    Note:
1476    You can use `MatFactorInfoInitialize()` to set default values.
1477 
1478    Fortran Note:
1479    The data is available in a double precision arrays of size `MAT_FACTORINFO_SIZE`
1480 
1481 .seealso: [](ch_matrices), `Mat`, `MatInfo`, `MatGetFactor()`, `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`,
1482           `MatICCFactorSymbolic()`, `MatICCFactor()`, `MatFactorInfoInitialize()`
1483 S*/
1484 typedef struct {
1485   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1486   PetscReal usedt;
1487   PetscReal dt;            /* drop tolerance */
1488   PetscReal dtcol;         /* tolerance for pivoting */
1489   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1490   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1491   PetscReal levels;        /* ICC/ILU(levels) */
1492   PetscReal pivotinblocks; /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1493                                    factorization may be faster if do not pivot */
1494   PetscReal zeropivot;     /* pivot is called zero if less than this */
1495   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1496   PetscReal shiftamount;   /* how large the shift is */
1497 } MatFactorInfo;
1498 
1499 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1500 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1501 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1502 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1503 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1504 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1505 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1506 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1507 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1508 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1509 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1510 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1511 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1512 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1513 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1514 PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1515 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1516 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1517 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1518 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1519 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1520 PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1521 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1522 
1523 typedef enum {
1524   MAT_FACTOR_SCHUR_UNFACTORED,
1525   MAT_FACTOR_SCHUR_FACTORED,
1526   MAT_FACTOR_SCHUR_INVERTED
1527 } MatFactorSchurStatus;
1528 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1529 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1530 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1531 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1532 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1533 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1534 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1535 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1536 
1537 PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1538 /*E
1539     MatSORType - What type of (S)SOR to perform
1540 
1541    Values:
1542 +  `SOR_FORWARD_SWEEP` - do a sweep from the first row of the matrix to the last
1543 .  `SOR_BACKWARD_SWEEP` -  do a sweep from the last row to the first
1544 .  `SOR_SYMMETRIC_SWEEP` - do a sweep from the first row to the last and then back to the first
1545 .  `SOR_LOCAL_FORWARD_SWEEP` - each MPI rank does its own forward sweep with no communication
1546 .  `SOR_LOCAL_BACKWARD_SWEEP` - each MPI rank does its own backward sweep with no communication
1547 .  `SOR_LOCAL_SYMMETRIC_SWEEP` - each MPI rank does its own symmetric sweep with no communication
1548 .  `SOR_ZERO_INITIAL_GUESS` - indicates the initial solution is zero so the sweep can avoid unneeded computation
1549 .  `SOR_EISENSTAT` - apply the Eisentat application of SOR, see `PCEISENSTAT`
1550 .  `SOR_APPLY_UPPER` - multiply by the upper triangular portion of the matrix
1551 -  `SOR_APPLY_LOWER` - multiply by the lower triangular portion of the matrix
1552 
1553     Level: beginner
1554 
1555    Note:
1556    These may be bitwise ORd together
1557 
1558    Developer Note:
1559    Since `MatSORType` may be bitwise ORd together, so do not change the numerical values below
1560 
1561 .seealso: [](ch_matrices), `MatSOR()`
1562 E*/
1563 typedef enum {
1564   SOR_FORWARD_SWEEP         = 1,
1565   SOR_BACKWARD_SWEEP        = 2,
1566   SOR_SYMMETRIC_SWEEP       = 3,
1567   SOR_LOCAL_FORWARD_SWEEP   = 4,
1568   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1569   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1570   SOR_ZERO_INITIAL_GUESS    = 16,
1571   SOR_EISENSTAT             = 32,
1572   SOR_APPLY_UPPER           = 64,
1573   SOR_APPLY_LOWER           = 128
1574 } MatSORType;
1575 PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);
1576 
1577 /*S
1578      MatColoring - Object for managing the coloring of matrices.
1579 
1580    Level: beginner
1581 
1582    Notes:
1583    Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1584    matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).
1585 
1586    Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1587    same object can also be used to efficiently convert data created by Automatic Differentiation tools to PETSc sparse matrices.
1588 
1589 .seealso: [](ch_matrices), [](sec_graph), `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`,
1590           `MatPartitioning`, `MatColoringType`, `MatPartitioningType`, `MatOrderingType`, `MatColoringSetWeightType()`,
1591           `MatColoringSetWeights()`, `MatCoarsenType`, `MatCoarsen`
1592 S*/
1593 typedef struct _p_MatColoring *MatColoring;
1594 
1595 /*J
1596     MatColoringType - String with the name of a PETSc matrix coloring
1597 
1598    Level: beginner
1599 
1600 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatFDColoringCreate()`, `MatColoringSetType()`, `MatColoring`
1601 J*/
1602 typedef const char *MatColoringType;
1603 #define MATCOLORINGJP      "jp"
1604 #define MATCOLORINGPOWER   "power"
1605 #define MATCOLORINGNATURAL "natural"
1606 #define MATCOLORINGSL      "sl"
1607 #define MATCOLORINGLF      "lf"
1608 #define MATCOLORINGID      "id"
1609 #define MATCOLORINGGREEDY  "greedy"
1610 
1611 /*E
1612    MatColoringWeightType - Type of weight scheme used for the coloring algorithm
1613 
1614     Values:
1615 +   `MAT_COLORING_RANDOM`  - Random weights
1616 .   `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1617 -   `MAT_COLORING_LF`      - Last-first weighting.
1618 
1619     Level: intermediate
1620 
1621 .seealso: [](ch_matrices), `MatColoring`, `MatColoringCreate()`, `MatColoringSetWeightType()`, `MatColoringSetWeights()`
1622 E*/
1623 typedef enum {
1624   MAT_COLORING_WEIGHT_RANDOM,
1625   MAT_COLORING_WEIGHT_LEXICAL,
1626   MAT_COLORING_WEIGHT_LF,
1627   MAT_COLORING_WEIGHT_SL
1628 } MatColoringWeightType;
1629 
1630 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1631 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1632 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1633 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1634 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1635 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1636 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1637 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1638 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1639 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1640 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1641 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1642 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1643 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1644 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1645 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1646 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1647 PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
1648 {
1649   return MatColoringTest(matcoloring, iscoloring);
1650 }
1651 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);
1652 
1653 /*S
1654      MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring
1655 
1656    Level: beginner
1657 
1658    Notes:
1659    This object is creating utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`
1660 
1661    The `SNES` option `-snes_fd_coloring` will cause the Jacobian needed by `SNES` to be computed via a use of this object
1662 
1663 .seealso: [](ch_matrices), `Mat`, `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1664 S*/
1665 typedef struct _p_MatFDColoring *MatFDColoring;
1666 
1667 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1668 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1669 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1670 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, PetscErrorCode (*)(void), void *);
1671 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, PetscErrorCode (**)(void), void **);
1672 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1673 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1674 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1675 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1676 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1677 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1678 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1679 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);
1680 
1681 /*S
1682      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1683 
1684    Level: developer
1685 
1686 .seealso: [](ch_matrices), `Mat`, `MatProductType`, `MatTransposeColoringCreate()`
1687 S*/
1688 typedef struct _p_MatTransposeColoring *MatTransposeColoring;
1689 
1690 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1691 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1692 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1693 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);
1694 
1695 /*S
1696      MatPartitioning - Object for managing the partitioning of a matrix or graph
1697 
1698    Level: beginner
1699 
1700    Note:
1701      There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1702      via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)
1703 
1704    Developers Note:
1705      It is an extra maintenance and documentation cost to have two objects with the same functionality. `PetscPartitioner` should be removed
1706 
1707 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`, `MatOrderingType`,
1708           `MatCoarsenType`, `MatCoarsenType`
1709 S*/
1710 typedef struct _p_MatPartitioning *MatPartitioning;
1711 
1712 /*J
1713     MatPartitioningType - String with the name of a PETSc matrix partitioning
1714 
1715    Level: beginner
1716 dm
1717 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`, `MatColoringType`, `MatOrderingType`,
1718           `MatCoarsenType`, `MatCoarsenType`
1719 J*/
1720 typedef const char *MatPartitioningType;
1721 #define MATPARTITIONINGCURRENT  "current"
1722 #define MATPARTITIONINGAVERAGE  "average"
1723 #define MATPARTITIONINGSQUARE   "square"
1724 #define MATPARTITIONINGPARMETIS "parmetis"
1725 #define MATPARTITIONINGCHACO    "chaco"
1726 #define MATPARTITIONINGPARTY    "party"
1727 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1728 #define MATPARTITIONINGHIERARCH "hierarch"
1729 
1730 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1731 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1732 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1733 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1734 PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1735 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1736 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1737 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1738 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1739 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1740 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1741 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1742 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1743 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1744 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1745 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1746 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1747 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1748 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);
1749 
1750 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1751 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1752 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1753 
1754 typedef enum {
1755   MP_CHACO_MULTILEVEL = 1,
1756   MP_CHACO_SPECTRAL   = 2,
1757   MP_CHACO_LINEAR     = 4,
1758   MP_CHACO_RANDOM     = 5,
1759   MP_CHACO_SCATTERED  = 6
1760 } MPChacoGlobalType;
1761 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1762 typedef enum {
1763   MP_CHACO_KERNIGHAN = 1,
1764   MP_CHACO_NONE      = 2
1765 } MPChacoLocalType;
1766 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1767 typedef enum {
1768   MP_CHACO_LANCZOS = 0,
1769   MP_CHACO_RQI     = 1
1770 } MPChacoEigenType;
1771 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1772 
1773 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1774 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1775 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1776 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1777 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1778 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1779 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1780 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1781 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1782 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1783 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);
1784 
1785 #define MP_PARTY_OPT "opt"
1786 #define MP_PARTY_LIN "lin"
1787 #define MP_PARTY_SCA "sca"
1788 #define MP_PARTY_RAN "ran"
1789 #define MP_PARTY_GBF "gbf"
1790 #define MP_PARTY_GCF "gcf"
1791 #define MP_PARTY_BUB "bub"
1792 #define MP_PARTY_DEF "def"
1793 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1794 #define MP_PARTY_HELPFUL_SETS  "hs"
1795 #define MP_PARTY_KERNIGHAN_LIN "kl"
1796 #define MP_PARTY_NONE          "no"
1797 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1798 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1799 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1800 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);
1801 
1802 typedef enum {
1803   MP_PTSCOTCH_DEFAULT,
1804   MP_PTSCOTCH_QUALITY,
1805   MP_PTSCOTCH_SPEED,
1806   MP_PTSCOTCH_BALANCE,
1807   MP_PTSCOTCH_SAFETY,
1808   MP_PTSCOTCH_SCALABILITY
1809 } MPPTScotchStrategyType;
1810 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1811 
1812 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1813 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1814 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1815 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);
1816 
1817 /*
1818  * hierarchical partitioning
1819  */
1820 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1821 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1822 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1823 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1824 
1825 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);
1826 
1827 /*
1828     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1829     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1830 */
1831 typedef enum {
1832   MATOP_SET_VALUES               = 0,
1833   MATOP_GET_ROW                  = 1,
1834   MATOP_RESTORE_ROW              = 2,
1835   MATOP_MULT                     = 3,
1836   MATOP_MULT_ADD                 = 4,
1837   MATOP_MULT_TRANSPOSE           = 5,
1838   MATOP_MULT_TRANSPOSE_ADD       = 6,
1839   MATOP_SOLVE                    = 7,
1840   MATOP_SOLVE_ADD                = 8,
1841   MATOP_SOLVE_TRANSPOSE          = 9,
1842   MATOP_SOLVE_TRANSPOSE_ADD      = 10,
1843   MATOP_LUFACTOR                 = 11,
1844   MATOP_CHOLESKYFACTOR           = 12,
1845   MATOP_SOR                      = 13,
1846   MATOP_TRANSPOSE                = 14,
1847   MATOP_GETINFO                  = 15,
1848   MATOP_EQUAL                    = 16,
1849   MATOP_GET_DIAGONAL             = 17,
1850   MATOP_DIAGONAL_SCALE           = 18,
1851   MATOP_NORM                     = 19,
1852   MATOP_ASSEMBLY_BEGIN           = 20,
1853   MATOP_ASSEMBLY_END             = 21,
1854   MATOP_SET_OPTION               = 22,
1855   MATOP_ZERO_ENTRIES             = 23,
1856   MATOP_ZERO_ROWS                = 24,
1857   MATOP_LUFACTOR_SYMBOLIC        = 25,
1858   MATOP_LUFACTOR_NUMERIC         = 26,
1859   MATOP_CHOLESKY_FACTOR_SYMBOLIC = 27,
1860   MATOP_CHOLESKY_FACTOR_NUMERIC  = 28,
1861   MATOP_SETUP                    = 29,
1862   MATOP_ILUFACTOR_SYMBOLIC       = 30,
1863   MATOP_ICCFACTOR_SYMBOLIC       = 31,
1864   MATOP_GET_DIAGONAL_BLOCK       = 32,
1865   MATOP_SET_INF                  = 33,
1866   MATOP_DUPLICATE                = 34,
1867   MATOP_FORWARD_SOLVE            = 35,
1868   MATOP_BACKWARD_SOLVE           = 36,
1869   MATOP_ILUFACTOR                = 37,
1870   MATOP_ICCFACTOR                = 38,
1871   MATOP_AXPY                     = 39,
1872   MATOP_CREATE_SUBMATRICES       = 40,
1873   MATOP_INCREASE_OVERLAP         = 41,
1874   MATOP_GET_VALUES               = 42,
1875   MATOP_COPY                     = 43,
1876   MATOP_GET_ROW_MAX              = 44,
1877   MATOP_SCALE                    = 45,
1878   MATOP_SHIFT                    = 46,
1879   MATOP_DIAGONAL_SET             = 47,
1880   MATOP_ZERO_ROWS_COLUMNS        = 48,
1881   MATOP_SET_RANDOM               = 49,
1882   MATOP_GET_ROW_IJ               = 50,
1883   MATOP_RESTORE_ROW_IJ           = 51,
1884   MATOP_GET_COLUMN_IJ            = 52,
1885   MATOP_RESTORE_COLUMN_IJ        = 53,
1886   MATOP_FDCOLORING_CREATE        = 54,
1887   MATOP_COLORING_PATCH           = 55,
1888   MATOP_SET_UNFACTORED           = 56,
1889   MATOP_PERMUTE                  = 57,
1890   MATOP_SET_VALUES_BLOCKED       = 58,
1891   MATOP_CREATE_SUBMATRIX         = 59,
1892   MATOP_DESTROY                  = 60,
1893   MATOP_VIEW                     = 61,
1894   MATOP_CONVERT_FROM             = 62,
1895   /* MATOP_PLACEHOLDER_63=63 */
1896   MATOP_MATMAT_MULT_SYMBOLIC    = 64,
1897   MATOP_MATMAT_MULT_NUMERIC     = 65,
1898   MATOP_SET_LOCAL_TO_GLOBAL_MAP = 66,
1899   MATOP_SET_VALUES_LOCAL        = 67,
1900   MATOP_ZERO_ROWS_LOCAL         = 68,
1901   MATOP_GET_ROW_MAX_ABS         = 69,
1902   MATOP_GET_ROW_MIN_ABS         = 70,
1903   MATOP_CONVERT                 = 71,
1904   MATOP_HAS_OPERATION           = 72,
1905   /* MATOP_PLACEHOLDER_73=73, */
1906   MATOP_SET_VALUES_ADIFOR = 74,
1907   MATOP_FD_COLORING_APPLY = 75,
1908   MATOP_SET_FROM_OPTIONS  = 76,
1909   /* MATOP_PLACEHOLDER_77=77, */
1910   /* MATOP_PLACEHOLDER_78=78, */
1911   MATOP_FIND_ZERO_DIAGONALS       = 79,
1912   MATOP_MULT_MULTIPLE             = 80,
1913   MATOP_SOLVE_MULTIPLE            = 81,
1914   MATOP_GET_INERTIA               = 82,
1915   MATOP_LOAD                      = 83,
1916   MATOP_IS_SYMMETRIC              = 84,
1917   MATOP_IS_HERMITIAN              = 85,
1918   MATOP_IS_STRUCTURALLY_SYMMETRIC = 86,
1919   MATOP_SET_VALUES_BLOCKEDLOCAL   = 87,
1920   MATOP_CREATE_VECS               = 88,
1921   /* MATOP_PLACEHOLDER_89=89, */
1922   MATOP_MAT_MULT_SYMBOLIC = 90,
1923   MATOP_MAT_MULT_NUMERIC  = 91,
1924   /* MATOP_PLACEHOLDER_92=92, */
1925   MATOP_PTAP_SYMBOLIC = 93,
1926   MATOP_PTAP_NUMERIC  = 94,
1927   /* MATOP_PLACEHOLDER_95=95, */
1928   MATOP_MAT_TRANSPOSE_MULT_SYMBO = 96,
1929   MATOP_MAT_TRANSPOSE_MULT_NUMER = 97,
1930   MATOP_BIND_TO_CPU              = 98,
1931   MATOP_PRODUCTSETFROMOPTIONS    = 99,
1932   MATOP_PRODUCTSYMBOLIC          = 100,
1933   MATOP_PRODUCTNUMERIC           = 101,
1934   MATOP_CONJUGATE                = 102,
1935   MATOP_VIEW_NATIVE              = 103,
1936   MATOP_SET_VALUES_ROW           = 104,
1937   MATOP_REAL_PART                = 105,
1938   MATOP_IMAGINARY_PART           = 106,
1939   MATOP_GET_ROW_UPPER_TRIANGULAR = 107,
1940   MATOP_RESTORE_ROW_UPPER_TRIANG = 108,
1941   MATOP_MAT_SOLVE                = 109,
1942   MATOP_MAT_SOLVE_TRANSPOSE      = 110,
1943   MATOP_GET_ROW_MIN              = 111,
1944   MATOP_GET_COLUMN_VECTOR        = 112,
1945   MATOP_MISSING_DIAGONAL         = 113,
1946   MATOP_GET_SEQ_NONZERO_STRUCTUR = 114,
1947   MATOP_CREATE                   = 115,
1948   MATOP_GET_GHOSTS               = 116,
1949   MATOP_GET_LOCAL_SUB_MATRIX     = 117,
1950   MATOP_RESTORE_LOCALSUB_MATRIX  = 118,
1951   MATOP_MULT_DIAGONAL_BLOCK      = 119,
1952   MATOP_HERMITIAN_TRANSPOSE      = 120,
1953   MATOP_MULT_HERMITIAN_TRANSPOSE = 121,
1954   MATOP_MULT_HERMITIAN_TRANS_ADD = 122,
1955   MATOP_GET_MULTI_PROC_BLOCK     = 123,
1956   MATOP_FIND_NONZERO_ROWS        = 124,
1957   MATOP_GET_COLUMN_NORMS         = 125,
1958   MATOP_INVERT_BLOCK_DIAGONAL    = 126,
1959   MATOP_INVERT_VBLOCK_DIAGONAL   = 127,
1960   MATOP_CREATE_SUB_MATRICES_MPI  = 128,
1961   MATOP_SET_VALUES_BATCH         = 129,
1962   /* MATOP_PLACEHOLDER_130=130, */
1963   MATOP_TRANSPOSE_MAT_MULT_SYMBO = 131,
1964   MATOP_TRANSPOSE_MAT_MULT_NUMER = 132,
1965   MATOP_TRANSPOSE_COLORING_CREAT = 133,
1966   MATOP_TRANS_COLORING_APPLY_SPT = 134,
1967   MATOP_TRANS_COLORING_APPLY_DEN = 135,
1968   /* MATOP_PLACEHOLDER_136=136, */
1969   MATOP_RART_SYMBOLIC         = 137,
1970   MATOP_RART_NUMERIC          = 138,
1971   MATOP_SET_BLOCK_SIZES       = 139,
1972   MATOP_AYPX                  = 140,
1973   MATOP_RESIDUAL              = 141,
1974   MATOP_FDCOLORING_SETUP      = 142,
1975   MATOP_FIND_OFFBLOCK_ENTRIES = 143,
1976   MATOP_MPICONCATENATESEQ     = 144,
1977   MATOP_DESTROYSUBMATRICES    = 145,
1978   MATOP_TRANSPOSE_SOLVE       = 146,
1979   MATOP_GET_VALUES_LOCAL      = 147
1980 } MatOperation;
1981 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, void (*)(void));
1982 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, void (**)(void));
1983 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
1984 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
1985 PETSC_DEPRECATED_FUNCTION("Use MatProductClear() (since version 3.14)") static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
1986 {
1987   return MatProductClear(A);
1988 }
1989 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, void (*)(void));
1990 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, void (**)(void));
1991 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, void *);
1992 PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscErrorCode (*)(void *));
1993 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
1994 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
1995 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
1996 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1997 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscErrorCode (*)(void *), MatType, MatType);
1998 PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);
1999 
2000 /*
2001    Codes for matrices stored on disk. By default they are
2002    stored in a universal format. By changing the format with
2003    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
2004    be stored in a way natural for the matrix, for example dense matrices
2005    would be stored as dense. Matrices stored this way may only be
2006    read into matrices of the same type.
2007 */
2008 #define MATRIX_BINARY_FORMAT_DENSE -1
2009 
2010 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);
2011 
2012 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
2013 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
2014 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
2015 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
2016 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
2017 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
2018 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
2019 PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
2020 PETSC_EXTERN                PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat, MatReuse, Mat *);
2021 
2022 /*S
2023      MatNullSpace - Object that removes a null space from a vector, i.e.
2024          orthogonalizes the vector to a subspace
2025 
2026    Level: advanced
2027 
2028 .seealso: [](ch_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2029 S*/
2030 typedef struct _p_MatNullSpace *MatNullSpace;
2031 
2032 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
2033 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, PetscErrorCode (*)(MatNullSpace, Vec, void *), void *);
2034 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
2035 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
2036 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
2037 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
2038 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
2039 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
2040 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
2041 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
2042 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
2043 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
2044 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
2045 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);
2046 
2047 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
2048 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
2049 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);
2050 
2051 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
2052 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
2053 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);
2054 
2055 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
2056 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);
2057 
2058 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
2059 {
2060   return MatComputeOperator(A, PETSC_NULLPTR, B);
2061 }
2062 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
2063 {
2064   return MatComputeOperatorTranspose(A, PETSC_NULLPTR, B);
2065 }
2066 
2067 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
2068 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
2069 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
2070 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2071 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
2072 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
2073 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
2074 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2075 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
2076 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
2077 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
2078 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
2079 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
2080 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);
2081 
2082 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);
2083 
2084 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2085 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
2086 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, PetscErrorCode (*)(void *, Vec, Vec), void *);
2087 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, PetscErrorCode (*)(void *, PetscInt, Vec, PetscScalar *));
2088 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, PetscErrorCode (*)(void *, Vec));
2089 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
2090 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
2091 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
2092 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
2093 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
2094 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
2095 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
2096 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, PetscErrorCode (*)(void *, Vec, Vec, PetscScalar *), void *);
2097 
2098 /*S
2099     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2100               Jacobian vector products
2101 
2102     Level: developer
2103 
2104     Notes:
2105     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure
2106 
2107      MatMFFD*() methods actually take the `Mat` as their first argument. Not a `MatMFFD` data structure
2108 
2109     This functionality is often obtained using `MatCreateSNESMF()` or with `SNES` solvers using `-snes_mf` or `-snes_mf_operator`
2110 
2111 .seealso: [](ch_matrices), `MatMFFDType`, `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`,
2112           `MatCreateSNESMF()`, `SNES`, `-snes_mf`, `-snes_mf_operator`
2113 S*/
2114 typedef struct _p_MatMFFD *MatMFFD;
2115 
2116 /*J
2117     MatMFFDType - algorithm used to compute the `h` used in computing matrix-vector products via differencing of a function
2118 
2119    Values:
2120 +   `MATMFFD_DS` - an algorithm described by Dennis and Schnabel
2121 -   `MATMFFD_WP` - the Walker-Pernice strategy.
2122 
2123    Level: beginner
2124 
2125 .seealso: [](ch_matrices), `MatMFFDSetType()`, `MatMFFDRegister()`, `MatMFFDSetFunction()`, `MatCreateMFFD()`
2126 J*/
2127 typedef const char *MatMFFDType;
2128 #define MATMFFD_DS "ds"
2129 #define MATMFFD_WP "wp"
2130 
2131 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2132 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));
2133 
2134 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2135 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);
2136 
2137 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);
2138 
2139 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2140 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
2141 
2142 #ifdef PETSC_HAVE_H2OPUS
2143 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatH2OpusKernel)(PetscInt, PetscReal[], PetscReal[], void *);
2144 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernel, void *, PetscReal, PetscInt, PetscInt, Mat *);
2145 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2146 PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2147 PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
2148 PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat, PetscReal);
2149 PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat, PetscBool);
2150 PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat, PetscBool *);
2151 PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat, IS *);
2152 PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2153 PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2154 #endif
2155 
2156 #ifdef PETSC_HAVE_HTOOL
2157 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatHtoolKernel)(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2158 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernel, void *, Mat *);
2159 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat, MatHtoolKernel, void *);
2160 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat, IS *);
2161 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat, IS *);
2162 PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat, PetscBool);
2163 
2164 /*E
2165      MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`
2166 
2167     Values:
2168 +   `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2169 .   `MAT_HTOOL_COMPRESSOR_FULL_ACA` - full adaptive cross approximation
2170 -   `MAT_HTOOL_COMPRESSOR_SVD` - singular value decomposition
2171 
2172    Level: intermediate
2173 
2174 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2175 E*/
2176 typedef enum {
2177   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2178   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2179   MAT_HTOOL_COMPRESSOR_SVD
2180 } MatHtoolCompressorType;
2181 
2182 /*E
2183      MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`
2184 
2185     Values:
2186 +   `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default) - axis computed via principle component analysis, split uniformly
2187 .   `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC` - axis computed via principle component analysis, split barycentrically
2188 .   `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR` - axis along the largest extent of the bounding box, split uniformly
2189 -   `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically
2190 
2191    Level: intermediate
2192 
2193     Note:
2194     Higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
2195 
2196 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2197 E*/
2198 typedef enum {
2199   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2200   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2201   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2202   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2203 } MatHtoolClusteringType;
2204 #endif
2205 
2206 #ifdef PETSC_HAVE_MUMPS
2207 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2208 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2209 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2210 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);
2211 
2212 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2213 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2214 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2215 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2216 PETSC_EXTERN PetscErrorCode MatMumpsGetNullPivots(Mat, PetscInt *, PetscInt **);
2217 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2218 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2219 #endif
2220 
2221 #ifdef PETSC_HAVE_MKL_PARDISO
2222 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2223 #endif
2224 
2225 #ifdef PETSC_HAVE_MKL_CPARDISO
2226 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2227 #endif
2228 
2229 #ifdef PETSC_HAVE_SUPERLU
2230 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2231 #endif
2232 
2233 #ifdef PETSC_HAVE_SUPERLU_DIST
2234 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2235 #endif
2236 
2237 #ifdef PETSC_HAVE_STRUMPACK
2238 /*E
2239     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `MATSOLVERSTRUMPACK``
2240 
2241     Values:
2242 +  `MAT_STRUMPACK_NATURAL` - use the current ordering
2243 .  `MAT_STRUMPACK_METIS` - use MeTis to compute an ordering
2244 .  `MAT_STRUMPACK_PARMETIS` - use ParMeTis to compute an ordering
2245 .  `MAT_STRUMPACK_SCOTCH` - use Scotch to compute an ordering
2246 .  `MAT_STRUMPACK_PTSCOTCH` - use parallel Scotch to compute an ordering
2247 -  `MAT_STRUMPACK_RCM` - use an RCM ordering
2248 
2249     Level: intermediate
2250 
2251     Developer Note:
2252     Should be called `MatSTRUMPACKReorderingType`
2253 
2254 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetHSSRelTol()`, `MatSTRUMPACKSetReordering()`
2255 E*/
2256 typedef enum {
2257   MAT_STRUMPACK_NATURAL  = 0,
2258   MAT_STRUMPACK_METIS    = 1,
2259   MAT_STRUMPACK_PARMETIS = 2,
2260   MAT_STRUMPACK_SCOTCH   = 3,
2261   MAT_STRUMPACK_PTSCOTCH = 4,
2262   MAT_STRUMPACK_RCM      = 5
2263 } MatSTRUMPACKReordering;
2264 
2265 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2266 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2267 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat, PetscReal);
2268 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat, PetscReal rtol)
2269 {
2270   return MatSTRUMPACKSetHSSRelTol(mat, rtol);
2271 }
2272 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat, PetscReal);
2273 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat, PetscInt);
2274 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat, PetscInt hssminsize)
2275 {
2276   return MatSTRUMPACKSetHSSMinSepSize(mat, hssminsize);
2277 }
2278 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat, PetscInt);
2279 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat, PetscInt);
2280 #endif
2281 
2282 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2283 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2284 PETSC_DEPRECATED_FUNCTION("Use MatBindToCPU (since v3.13)") static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2285 {
2286   return MatBindToCPU(A, flg);
2287 }
2288 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2289 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);
2290 
2291 typedef struct _n_SplitCSRMat *PetscSplitCSRDataStructure;
2292 PETSC_EXTERN PetscErrorCode    MatCUSPARSEGetDeviceMatWrite(Mat, PetscSplitCSRDataStructure *);
2293 
2294 #ifdef PETSC_HAVE_KOKKOS_KERNELS
2295 PETSC_EXTERN PetscErrorCode MatKokkosGetDeviceMatWrite(Mat, PetscSplitCSRDataStructure *);
2296 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosSetDeviceMat(Mat, PetscSplitCSRDataStructure);
2297 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosGetDeviceMat(Mat, PetscSplitCSRDataStructure *);
2298 #endif
2299 
2300 #ifdef PETSC_HAVE_CUDA
2301 /*E
2302     MatCUSPARSEStorageFormat - indicates the storage format for `MATAIJCUSPARSE` (GPU)
2303     matrices.
2304 
2305     Values:
2306 +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2307 .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2308 -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2309 
2310     Level: intermediate
2311 
2312 .seealso: [](ch_matrices), `MATAIJCUSPARSE`, `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2313 E*/
2314 
2315 typedef enum {
2316   MAT_CUSPARSE_CSR,
2317   MAT_CUSPARSE_ELL,
2318   MAT_CUSPARSE_HYB
2319 } MatCUSPARSEStorageFormat;
2320 
2321 /* these will be strings associated with enumerated type defined above */
2322 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2323 
2324 /*E
2325     MatCUSPARSEFormatOperation - indicates the operation of `MATAIJCUSPARSE` (GPU)
2326     matrices whose operation should use a particular storage format.
2327 
2328     Values:
2329 +   `MAT_CUSPARSE_MULT_DIAG` - sets the storage format for the diagonal matrix in the parallel MatMult
2330 .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the offdiagonal matrix in the parallel MatMult
2331 .   `MAT_CUSPARSE_MULT` - sets the storage format for the entire matrix in the serial (single GPU) MatMult
2332 -   `MAT_CUSPARSE_ALL` - sets the storage format for all `MATAIJCUSPARSE` (GPU) matrices
2333 
2334     Level: intermediate
2335 
2336 .seealso: [](ch_matrices), `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2337 E*/
2338 typedef enum {
2339   MAT_CUSPARSE_MULT_DIAG,
2340   MAT_CUSPARSE_MULT_OFFDIAG,
2341   MAT_CUSPARSE_MULT,
2342   MAT_CUSPARSE_ALL
2343 } MatCUSPARSEFormatOperation;
2344 
2345 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2346 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2347 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2348 PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2349 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2350 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2351 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2352 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2353 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2354 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2355 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2356 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);
2357 
2358 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2359 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2360 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2361 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2362 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2363 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2364 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2365 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2366 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2367 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2368 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2369 #endif
2370 
2371 #ifdef PETSC_HAVE_HIP
2372 /*E
2373     MatHIPSPARSEStorageFormat - indicates the storage format for `MATAIJHIPSPARSE` (GPU)
2374     matrices.
2375 
2376     Values:
2377 +   `MAT_HIPSPARSE_CSR` - Compressed Sparse Row
2378 .   `MAT_HIPSPARSE_ELL` - Ellpack
2379 -   `MAT_HIPSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format
2380 
2381     Level: intermediate
2382 
2383 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
2384 E*/
2385 
2386 typedef enum {
2387   MAT_HIPSPARSE_CSR,
2388   MAT_HIPSPARSE_ELL,
2389   MAT_HIPSPARSE_HYB
2390 } MatHIPSPARSEStorageFormat;
2391 
2392 /* these will be strings associated with enumerated type defined above */
2393 PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];
2394 
2395 /*E
2396     MatHIPSPARSEFormatOperation - indicates the operation of `MATAIJHIPSPARSE` (GPU)
2397     matrices whose operation should use a particular storage format.
2398 
2399     Values:
2400 +   `MAT_HIPSPARSE_MULT_DIAG` - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2401 .   `MAT_HIPSPARSE_MULT_OFFDIAG` - sets the storage format for the offdiagonal matrix in the parallel `MatMult()`
2402 .   `MAT_HIPSPARSE_MULT` - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2403 -   `MAT_HIPSPARSE_ALL` - sets the storage format for all HIPSPARSE (GPU) matrices
2404 
2405     Level: intermediate
2406 
2407 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
2408 E*/
2409 typedef enum {
2410   MAT_HIPSPARSE_MULT_DIAG,
2411   MAT_HIPSPARSE_MULT_OFFDIAG,
2412   MAT_HIPSPARSE_MULT,
2413   MAT_HIPSPARSE_ALL
2414 } MatHIPSPARSEFormatOperation;
2415 
2416 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2417 PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2418 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
2419 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
2420 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2421 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2422 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
2423 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
2424 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
2425 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
2426 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
2427 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);
2428 
2429 PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2430 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2431 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
2432 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
2433 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
2434 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
2435 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
2436 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
2437 PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
2438 PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
2439 PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);
2440 #endif
2441 
2442 #if defined(PETSC_HAVE_VIENNACL)
2443 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2444 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2445 #endif
2446 
2447 #if defined(PETSC_HAVE_FFTW)
2448 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2449 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2450 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2451 #endif
2452 
2453 #if defined(PETSC_HAVE_SCALAPACK)
2454 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2455 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2456 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2457 #endif
2458 
2459 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2460 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2461 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2462 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2463 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2464 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2465 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2466 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2467 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);
2468 
2469 PETSC_EXTERN PetscErrorCode MatChop(Mat, PetscReal);
2470 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);
2471 
2472 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);
2473 
2474 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);
2475 
2476 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2477 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);
2478 
2479 PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);
2480 
2481 PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, Mat *);
2482 PETSC_EXTERN PetscErrorCode MatEliminateZeros(Mat);
2483 #endif
2484