xref: /petsc/include/petscmat.h (revision 856bee69f0e0908e75ff837867b1777dfb1ced96)
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(3, 18, 0, "MATTRANSPOSEVIRTUAL", ) "transpose"
105 #define MATTRANSPOSEVIRTUAL          "transpose"
106 #define MATHERMITIANTRANSPOSEVIRTUAL "hermitiantranspose"
107 #define MATSCHURCOMPLEMENT           "schurcomplement"
108 #define MATPYTHON                    "python"
109 #define MATHYPRE                     "hypre"
110 #define MATHYPRESTRUCT               "hyprestruct"
111 #define MATHYPRESSTRUCT              "hypresstruct"
112 #define MATSUBMATRIX                 "submatrix"
113 #define MATLOCALREF                  "localref"
114 #define MATNEST                      "nest"
115 #define MATPREALLOCATOR              "preallocator"
116 #define MATSELL                      "sell"
117 #define MATSEQSELL                   "seqsell"
118 #define MATMPISELL                   "mpisell"
119 #define MATSELLCUDA                  "sellcuda"
120 #define MATSEQSELLCUDA               "seqsellcuda"
121 #define MATMPISELLCUDA               "mpisellcuda"
122 #define MATDUMMY                     "dummy"
123 #define MATLMVM                      "lmvm"
124 #define MATLMVMDFP                   "lmvmdfp"
125 #define MATLMVMBFGS                  "lmvmbfgs"
126 #define MATLMVMSR1                   "lmvmsr1"
127 #define MATLMVMBROYDEN               "lmvmbroyden"
128 #define MATLMVMBADBROYDEN            "lmvmbadbroyden"
129 #define MATLMVMSYMBROYDEN            "lmvmsymbroyden"
130 #define MATLMVMSYMBADBROYDEN         "lmvmsymbadbroyden"
131 #define MATLMVMDIAGBROYDEN           "lmvmdiagbroyden"
132 #define MATCONSTANTDIAGONAL          "constantdiagonal"
133 #define MATDIAGONAL                  "diagonal"
134 #define MATHTOOL                     "htool"
135 #define MATH2OPUS                    "h2opus"
136 
137 /*J
138     MatSolverType - String with the name of a PETSc factorization based matrix solver type.
139 
140     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
141 
142    Level: beginner
143 
144    Note:
145    `MATSOLVERUMFPACK`, `MATSOLVERCHOLMOD`, `MATSOLVERKLU`, `MATSOLVERSPQR` form the SuiteSparse package; you can use `--download-suitesparse` as
146    a ./configure option to install them
147 
148 .seealso: [](sec_matfactor), [](ch_matrices), `MatGetFactor()`, `PCFactorSetMatSolverType()`, `PCFactorGetMatSolverType()`
149 J*/
150 typedef const char *MatSolverType;
151 #define MATSOLVERSUPERLU      "superlu"
152 #define MATSOLVERSUPERLU_DIST "superlu_dist"
153 #define MATSOLVERSTRUMPACK    "strumpack"
154 #define MATSOLVERUMFPACK      "umfpack"
155 #define MATSOLVERCHOLMOD      "cholmod"
156 #define MATSOLVERKLU          "klu"
157 #define MATSOLVERELEMENTAL    "elemental"
158 #define MATSOLVERSCALAPACK    "scalapack"
159 #define MATSOLVERESSL         "essl"
160 #define MATSOLVERLUSOL        "lusol"
161 #define MATSOLVERMUMPS        "mumps"
162 #define MATSOLVERMKL_PARDISO  "mkl_pardiso"
163 #define MATSOLVERMKL_CPARDISO "mkl_cpardiso"
164 #define MATSOLVERPASTIX       "pastix"
165 #define MATSOLVERMATLAB       "matlab"
166 #define MATSOLVERPETSC        "petsc"
167 #define MATSOLVERBAS          "bas"
168 #define MATSOLVERCUSPARSE     "cusparse"
169 #define MATSOLVERCUDA         "cuda"
170 #define MATSOLVERHIPSPARSE    "hipsparse"
171 #define MATSOLVERHIP          "hip"
172 #define MATSOLVERKOKKOS       "kokkos"
173 #define MATSOLVERSPQR         "spqr"
174 
175 /*E
176     MatFactorType - indicates what type of factorization is requested
177 
178     Values:
179 +  `MAT_FACTOR_LU` - LU factorization
180 .  `MAT_FACTOR_CHOLESKY` - Cholesky factorization
181 .  `MAT_FACTOR_ILU` - ILU factorization
182 .  `MAT_FACTOR_ICC` - incomplete Cholesky factorization
183 .  `MAT_FACTOR_ILUDT` - ILU factorization with drop tolerance
184 -  `MAT_FACTOR_QR` - QR factorization
185 
186     Level: beginner
187 
188 .seealso: [](ch_matrices), `MatSolverType`, `MatGetFactor()`, `MatGetFactorAvailable()`, `MatSolverTypeRegister()`
189 E*/
190 typedef enum {
191   MAT_FACTOR_NONE,
192   MAT_FACTOR_LU,
193   MAT_FACTOR_CHOLESKY,
194   MAT_FACTOR_ILU,
195   MAT_FACTOR_ICC,
196   MAT_FACTOR_ILUDT,
197   MAT_FACTOR_QR,
198   MAT_FACTOR_NUM_TYPES
199 } MatFactorType;
200 PETSC_EXTERN const char *const MatFactorTypes[];
201 
202 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat, MatSolverType, MatFactorType, Mat *);
203 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat, MatSolverType, MatFactorType, PetscBool *);
204 PETSC_EXTERN PetscErrorCode MatFactorGetCanUseOrdering(Mat, PetscBool *);
205 PETSC_DEPRECATED_FUNCTION(3, 15, 0, "MatFactorGetCanUseOrdering()", ) static inline PetscErrorCode MatFactorGetUseOrdering(Mat A, PetscBool *b)
206 {
207   return MatFactorGetCanUseOrdering(A, b);
208 }
209 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat, MatSolverType *);
210 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat, MatFactorType *);
211 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat, MatFactorType);
212 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatSolverFunction)(Mat, MatFactorType, Mat *);
213 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType, MatType, MatFactorType, MatSolverFunction);
214 PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType, MatType, MatFactorType, PetscBool *, PetscBool *, MatSolverFunction *);
215 typedef MatSolverType       MatSolverPackage PETSC_DEPRECATED_TYPEDEF(3, 9, 0, "MatSolverType", );
216 PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSolverTypeRegister()", ) static inline PetscErrorCode MatSolverPackageRegister(MatSolverType stype, MatType mtype, MatFactorType ftype, MatSolverFunction f)
217 {
218   return MatSolverTypeRegister(stype, mtype, ftype, f);
219 }
220 PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSolverTypeGet()", ) static inline PetscErrorCode MatSolverPackageGet(MatSolverType stype, MatType mtype, MatFactorType ftype, PetscBool *foundmtype, PetscBool *foundstype, MatSolverFunction *f)
221 {
222   return MatSolverTypeGet(stype, mtype, ftype, foundmtype, foundstype, f);
223 }
224 
225 /*E
226     MatProductType - indicates what type of matrix product 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 PETSC_EXTERN PetscErrorCode MatSeqSELLGetFillRatio(Mat, PetscReal *);
405 PETSC_EXTERN PetscErrorCode MatSeqSELLGetMaxSliceWidth(Mat, PetscInt *);
406 PETSC_EXTERN PetscErrorCode MatSeqSELLGetAvgSliceWidth(Mat, PetscReal *);
407 PETSC_EXTERN PetscErrorCode MatSeqSELLSetSliceHeight(Mat, PetscInt);
408 PETSC_EXTERN PetscErrorCode MatSeqSELLGetVarSliceSize(Mat, PetscReal *);
409 
410 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
411 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
412 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
413 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
414 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
415 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
416 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArray(Mat, const PetscScalar[]);
417 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], PetscInt[], PetscInt[], PetscScalar[], Mat *);
418 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm, Mat, Mat, const PetscInt[], Mat *);
419 
420 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
421 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
422 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
423 
424 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat, PetscCount, PetscInt[], PetscInt[]);
425 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat, PetscCount, PetscInt[], PetscInt[]);
426 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat, const PetscScalar[], InsertMode);
427 
428 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscInt[], Mat *);
429 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
430 
431 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
432 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
433 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
434 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
435 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], const PetscInt[]);
436 
437 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, void *, Mat *);
438 PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm, PetscInt, PetscInt, Mat *);
439 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat, Mat *);
440 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat, Mat *);
441 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat, Mat, Vec, Mat, Mat *);
442 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat, Mat *, Mat *, Vec *, Mat *);
443 PETSC_EXTERN PetscErrorCode MatLRCSetMats(Mat, Mat, Mat, Vec, Mat);
444 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, ISLocalToGlobalMapping, ISLocalToGlobalMapping, Mat *);
445 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
446 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
447 
448 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm, VecScatter, Mat *);
449 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat, VecScatter);
450 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat, VecScatter *);
451 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt *, Mat *);
452 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat, Mat);
453 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
454 typedef enum {
455   MAT_COMPOSITE_MERGE_RIGHT,
456   MAT_COMPOSITE_MERGE_LEFT
457 } MatCompositeMergeType;
458 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat, MatCompositeMergeType);
459 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm, PetscInt, const Mat *, Mat *);
460 typedef enum {
461   MAT_COMPOSITE_ADDITIVE,
462   MAT_COMPOSITE_MULTIPLICATIVE
463 } MatCompositeType;
464 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat, MatCompositeType);
465 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat, MatCompositeType *);
466 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat, MatStructure);
467 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat, MatStructure *);
468 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat, PetscInt *);
469 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat, PetscInt, Mat *);
470 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat, const PetscScalar *);
471 
472 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm, PetscInt, const PetscInt[], MatType, Mat *);
473 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm, PetscInt, const PetscInt[], Mat *);
474 
475 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat, Mat *);
476 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat, Mat *);
477 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat, Mat *);
478 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat, Mat *);
479 PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat, Mat *);
480 PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat, Mat *);
481 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat, IS, IS, Mat *);
482 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat, Mat, IS, IS);
483 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat, IS, IS, Mat *);
484 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar, Mat *);
485 PETSC_EXTERN PetscErrorCode MatCreateDiagonal(Vec, Mat *);
486 PETSC_EXTERN PetscErrorCode MatDiagonalGetDiagonal(Mat, Vec *);
487 PETSC_EXTERN PetscErrorCode MatDiagonalRestoreDiagonal(Mat, Vec *);
488 PETSC_EXTERN PetscErrorCode MatDiagonalGetInverseDiagonal(Mat, Vec *);
489 PETSC_EXTERN PetscErrorCode MatDiagonalRestoreInverseDiagonal(Mat, Vec *);
490 
491 #if defined(PETSC_HAVE_HYPRE)
492 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
493 #endif
494 
495 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat, const char[]);
496 PETSC_EXTERN PetscErrorCode MatPythonGetType(Mat, const char *[]);
497 
498 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
499 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
500 PETSC_EXTERN PetscErrorCode MatDestroy(Mat *);
501 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat, PetscObjectState *);
502 
503 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
504 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
505 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
506 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat, Mat *);
507 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat, PetscScalar *);
508 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat, const PetscScalar **);
509 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat, PetscInt, const PetscInt *, PetscScalar *);
510 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat, Mat);
511 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat, MatReuse, Mat *);
512 PETSC_EXTERN PetscErrorCode MatComputeVariableBlockEnvelope(Mat);
513 
514 PETSC_EXTERN PetscErrorCode MatSetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
515 PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat, IS, IS, const PetscScalar[], InsertMode);
516 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
517 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat, PetscInt, const PetscScalar[]);
518 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat, PetscInt, const PetscScalar[]);
519 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt[], const PetscScalar[]);
520 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat, PetscRandom);
521 
522 /*S
523      MatStencil - Data structure (C struct) for storing information about rows and
524         columns of a matrix as indexed on an associated grid. These are arguments to `MatSetStencil()` and `MatSetBlockStencil()`
525 
526    Level: beginner
527 
528    Notes:
529    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).
530    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.
531 
532    For stencil access to vectors see `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`.
533 
534    For staggered grids, see `DMStagStencil`
535 
536    Fortran Note:
537    See `MatSetValuesStencil()` for details.
538 
539 .seealso: [](ch_matrices), `Mat`, `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`,
540           `DMStagStencil`
541 S*/
542 typedef struct {
543   PetscInt k, j, i, c;
544 } MatStencil;
545 
546 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
547 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
548 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat, PetscInt, const PetscInt[], const PetscInt[], PetscInt);
549 
550 /*E
551     MatAssemblyType - Indicates if the process of setting values into the matrix is complete, and the matrix is ready for use
552 
553     Values:
554 +   `MAT_FLUSH_ASSEMBLY` - you will continue to put values into the matrix
555 -   `MAT_FINAL_ASSEMBLY` - you wish to use the matrix with the values currently inserted
556 
557     Level: beginner
558 
559 .seealso: [](ch_matrices), `Mat`, `MatSetValues`, `MatAssemblyBegin()`, `MatAssemblyEnd()`
560 E*/
561 typedef enum {
562   MAT_FLUSH_ASSEMBLY = 1,
563   MAT_FINAL_ASSEMBLY = 0
564 } MatAssemblyType;
565 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat, MatAssemblyType);
566 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat, MatAssemblyType);
567 PETSC_EXTERN PetscErrorCode MatAssembled(Mat, PetscBool *);
568 
569 /*E
570     MatOption - Options that may be set for a matrix that indicate properties of the matrix or affect its behavior or storage
571 
572     Level: beginner
573 
574    Note:
575    See `MatSetOption()` for the use of the options
576 
577    Developer Note:
578    Entries that are negative need not be called collectively by all processes.
579 
580 .seealso: [](ch_matrices), `Mat`, `MatSetOption()`
581 E*/
582 typedef enum {
583   MAT_OPTION_MIN                  = -3,
584   MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
585   MAT_ROW_ORIENTED                = -1,
586   MAT_SYMMETRIC                   = 1,
587   MAT_STRUCTURALLY_SYMMETRIC      = 2,
588   MAT_FORCE_DIAGONAL_ENTRIES      = 3,
589   MAT_IGNORE_OFF_PROC_ENTRIES     = 4,
590   MAT_USE_HASH_TABLE              = 5,
591   MAT_KEEP_NONZERO_PATTERN        = 6,
592   MAT_IGNORE_ZERO_ENTRIES         = 7,
593   MAT_USE_INODES                  = 8,
594   MAT_HERMITIAN                   = 9,
595   MAT_SYMMETRY_ETERNAL            = 10,
596   MAT_NEW_NONZERO_LOCATION_ERR    = 11,
597   MAT_IGNORE_LOWER_TRIANGULAR     = 12,
598   MAT_ERROR_LOWER_TRIANGULAR      = 13,
599   MAT_GETROW_UPPERTRIANGULAR      = 14,
600   MAT_SPD                         = 15,
601   MAT_NO_OFF_PROC_ZERO_ROWS       = 16,
602   MAT_NO_OFF_PROC_ENTRIES         = 17,
603   MAT_NEW_NONZERO_LOCATIONS       = 18,
604   MAT_NEW_NONZERO_ALLOCATION_ERR  = 19,
605   MAT_SUBSET_OFF_PROC_ENTRIES     = 20,
606   MAT_SUBMAT_SINGLEIS             = 21,
607   MAT_STRUCTURE_ONLY              = 22,
608   MAT_SORTED_FULL                 = 23,
609   MAT_FORM_EXPLICIT_TRANSPOSE     = 24,
610   MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
611   MAT_SPD_ETERNAL                 = 26,
612   MAT_OPTION_MAX                  = 27
613 } MatOption;
614 
615 PETSC_EXTERN const char *const *MatOptions;
616 PETSC_EXTERN PetscErrorCode     MatSetOption(Mat, MatOption, PetscBool);
617 PETSC_EXTERN PetscErrorCode     MatGetOption(Mat, MatOption, PetscBool *);
618 PETSC_EXTERN PetscErrorCode     MatPropagateSymmetryOptions(Mat, Mat);
619 PETSC_EXTERN PetscErrorCode     MatGetType(Mat, MatType *);
620 
621 PETSC_EXTERN PetscErrorCode    MatGetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
622 PETSC_EXTERN PetscErrorCode    MatGetRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
623 PETSC_EXTERN PetscErrorCode    MatRestoreRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
624 PETSC_EXTERN PetscErrorCode    MatGetRowUpperTriangular(Mat);
625 PETSC_EXTERN PetscErrorCode    MatRestoreRowUpperTriangular(Mat);
626 PETSC_EXTERN PetscErrorCode    MatGetColumnVector(Mat, Vec, PetscInt);
627 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArray(Mat, PetscScalar *[]);
628 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayRead(Mat, const PetscScalar *[]);
629 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayWrite(Mat, PetscScalar *[]);
630 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArray(Mat, PetscScalar *[]);
631 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayRead(Mat, const PetscScalar *[]);
632 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayWrite(Mat, PetscScalar *[]);
633 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetMaxRowNonzeros(Mat, PetscInt *);
634 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetValuesLocalFast(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
635 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetType(Mat, MatType);
636 PETSC_EXTERN PetscErrorCode    MatSeqAIJKron(Mat, Mat, MatReuse, Mat *);
637 PETSC_EXTERN PetscErrorCode    MatSeqAIJRegister(const char[], PetscErrorCode (*)(Mat, MatType, MatReuse, Mat *));
638 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
639 PETSC_EXTERN PetscErrorCode    MatSeqBAIJGetArray(Mat, PetscScalar *[]);
640 PETSC_EXTERN PetscErrorCode    MatSeqBAIJRestoreArray(Mat, PetscScalar *[]);
641 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJGetArray(Mat, PetscScalar *[]);
642 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJRestoreArray(Mat, PetscScalar *[]);
643 PETSC_EXTERN PetscErrorCode    MatDenseGetArray(Mat, PetscScalar *[]);
644 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArray(Mat, PetscScalar *[]);
645 PETSC_EXTERN PetscErrorCode    MatDensePlaceArray(Mat, const PetscScalar[]);
646 PETSC_EXTERN PetscErrorCode    MatDenseReplaceArray(Mat, const PetscScalar[]);
647 PETSC_EXTERN PetscErrorCode    MatDenseResetArray(Mat);
648 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayRead(Mat, const PetscScalar *[]);
649 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayRead(Mat, const PetscScalar *[]);
650 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWrite(Mat, PetscScalar *[]);
651 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWrite(Mat, PetscScalar *[]);
652 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayAndMemType(Mat, PetscScalar *[], PetscMemType *);
653 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayAndMemType(Mat, PetscScalar *[]);
654 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayReadAndMemType(Mat, const PetscScalar *[], PetscMemType *);
655 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayReadAndMemType(Mat, const PetscScalar *[]);
656 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWriteAndMemType(Mat, PetscScalar *[], PetscMemType *);
657 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWriteAndMemType(Mat, PetscScalar *[]);
658 PETSC_EXTERN PetscErrorCode    MatGetBlockSize(Mat, PetscInt *);
659 PETSC_EXTERN PetscErrorCode    MatSetBlockSize(Mat, PetscInt);
660 PETSC_EXTERN PetscErrorCode    MatGetBlockSizes(Mat, PetscInt *, PetscInt *);
661 PETSC_EXTERN PetscErrorCode    MatSetBlockSizes(Mat, PetscInt, PetscInt);
662 PETSC_EXTERN PetscErrorCode    MatSetBlockSizesFromMats(Mat, Mat, Mat);
663 PETSC_EXTERN PetscErrorCode    MatSetVariableBlockSizes(Mat, PetscInt, PetscInt *);
664 PETSC_EXTERN PetscErrorCode    MatGetVariableBlockSizes(Mat, PetscInt *, const PetscInt **);
665 
666 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat, PetscInt, PetscScalar *[]);
667 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat, PetscScalar *[]);
668 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat, PetscInt, Vec *);
669 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat, PetscInt, Vec *);
670 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat, PetscInt, Vec *);
671 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat, PetscInt, Vec *);
672 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat, PetscInt, Vec *);
673 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat, PetscInt, Vec *);
674 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
675 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat, Mat *);
676 
677 PETSC_EXTERN PetscErrorCode MatMult(Mat, Vec, Vec);
678 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat, Vec, Vec);
679 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat, Vec, Vec, Vec);
680 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat, Vec, Vec);
681 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat, Vec, Vec);
682 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat, Mat, PetscReal, PetscBool *);
683 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat, Mat, PetscReal, PetscBool *);
684 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat, Vec, Vec, Vec);
685 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat, Vec, Vec, Vec);
686 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat, Mat, Mat);
687 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat, Mat, Mat);
688 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat, Mat, Mat);
689 PETSC_EXTERN PetscErrorCode MatResidual(Mat, Vec, Vec, Vec);
690 
691 /*E
692     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
693   its numerical values copied over or just its nonzero structure.
694 
695     Values:
696 +   `MAT_DO_NOT_COPY_VALUES`    - Create a matrix using the same nonzero pattern as the original matrix,
697                                with zeros for the numerical values
698 .   `MAT_COPY_VALUES`           - Create a matrix with the same nonzero pattern as the original matrix
699                                and with the same numerical values.
700 -   `MAT_SHARE_NONZERO_PATTERN` - Create a matrix that shares the nonzero structure with the previous matrix
701                                and does not copy it, using zeros for the numerical values. The parent and
702                                child matrices will share their index (i and j) arrays, and you cannot
703                                insert new nonzero entries into either matrix
704 
705     Level: beginner
706 
707   Note:
708   Many matrix types (including `MATSEQAIJ`) do not support the `MAT_SHARE_NONZERO_PATTERN` optimization; in
709   this case the behavior is as if `MAT_DO_NOT_COPY_VALUES` has been specified.
710 
711 .seealso: [](ch_matrices), `Mat`, `MatDuplicate()`
712 E*/
713 typedef enum {
714   MAT_DO_NOT_COPY_VALUES,
715   MAT_COPY_VALUES,
716   MAT_SHARE_NONZERO_PATTERN
717 } MatDuplicateOption;
718 
719 PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
720 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);
721 
722 PETSC_EXTERN PetscErrorCode MatCopy(Mat, Mat, MatStructure);
723 PETSC_EXTERN PetscErrorCode MatView(Mat, PetscViewer);
724 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat, PetscReal, PetscBool *);
725 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat, PetscBool *);
726 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat, PetscReal, PetscBool *);
727 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat, PetscBool *, PetscBool *);
728 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat, PetscBool *, PetscBool *);
729 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat, PetscBool *, PetscBool *);
730 PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat, PetscBool *, PetscBool *);
731 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat, PetscBool *, PetscInt *);
732 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
733 
734 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
735 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
736 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
737 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
738 
739 /*S
740      MatInfo - Context of matrix information, used with `MatGetInfo()`
741 
742    Level: intermediate
743 
744    Fortran Note:
745    Information is stored as a double-precision array of dimension `MAT_INFO_SIZE`
746 
747 .seealso: [](ch_matrices), `Mat`, `MatGetInfo()`, `MatInfoType`
748 S*/
749 typedef struct {
750   PetscLogDouble block_size;                          /* block size */
751   PetscLogDouble nz_allocated, nz_used, nz_unneeded;  /* number of nonzeros */
752   PetscLogDouble memory;                              /* memory allocated */
753   PetscLogDouble assemblies;                          /* number of matrix assemblies called */
754   PetscLogDouble mallocs;                             /* number of mallocs during MatSetValues() */
755   PetscLogDouble fill_ratio_given, fill_ratio_needed; /* fill ratio for LU/ILU */
756   PetscLogDouble factor_mallocs;                      /* number of mallocs during factorization */
757 } MatInfo;
758 
759 /*E
760     MatInfoType - Indicates if you want information about the local part of the matrix,
761      the entire parallel matrix or the maximum over all the local parts.
762 
763     Values:
764 +   `MAT_LOCAL` - values for each MPI process part of the matrix
765 .   `MAT_GLOBAL_MAX` - maximum of each value over all MPI processes
766 -   `MAT_GLOBAL_SUM` - sum of each value over all MPI processes
767 
768     Level: beginner
769 
770 .seealso: [](ch_matrices), `MatGetInfo()`, `MatInfo`
771 E*/
772 typedef enum {
773   MAT_LOCAL      = 1,
774   MAT_GLOBAL_MAX = 2,
775   MAT_GLOBAL_SUM = 3
776 } MatInfoType;
777 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat, MatInfoType, MatInfo *);
778 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat, Vec);
779 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat, Vec, PetscInt[]);
780 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat, Vec, PetscInt[]);
781 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat, Vec, PetscInt[]);
782 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat, Vec, PetscInt[]);
783 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat, Vec);
784 PETSC_EXTERN PetscErrorCode MatTranspose(Mat, MatReuse, Mat *);
785 PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat, Mat *);
786 PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat, Mat);
787 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat, MatReuse, Mat *);
788 PETSC_EXTERN PetscErrorCode MatPermute(Mat, IS, IS, Mat *);
789 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat, Vec, Vec);
790 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat, Vec, InsertMode);
791 
792 PETSC_EXTERN PetscErrorCode MatEqual(Mat, Mat, PetscBool *);
793 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat, Mat, PetscInt, PetscBool *);
794 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat, Mat, PetscInt, PetscBool *);
795 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
796 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
797 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
798 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
799 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
800 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
801 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
802 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
803 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
804 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat, PetscInt, PetscBool *);
805 
806 PETSC_EXTERN PetscErrorCode MatNorm(Mat, NormType, PetscReal *);
807 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat, NormType, PetscReal *);
808 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat, PetscScalar *);
809 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat, PetscReal *);
810 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat, PetscReal *);
811 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat, PetscScalar *);
812 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat, PetscReal *);
813 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat, PetscReal *);
814 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat, PetscInt, PetscReal *);
815 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
816 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
817 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
818 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat, IS, PetscScalar, Vec, Vec);
819 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
820 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
821 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
822 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat, IS, PetscScalar, Vec, Vec);
823 
824 PETSC_EXTERN PetscErrorCode MatGetSize(Mat, PetscInt *, PetscInt *);
825 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat, PetscInt *, PetscInt *);
826 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat, PetscInt *, PetscInt *);
827 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat, const PetscInt **);
828 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat, PetscInt *, PetscInt *);
829 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat, const PetscInt **);
830 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat, IS *, IS *);
831 
832 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
833 PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatrices()", ) static inline PetscErrorCode MatGetSubMatrices(Mat mat, PetscInt n, const IS irow[], const IS icol[], MatReuse scall, Mat *submat[])
834 {
835   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
836 }
837 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
838 PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatricesMPI()", ) static inline PetscErrorCode MatGetSubMatricesMPI(Mat mat, PetscInt n, const IS irow[], const IS icol[], MatReuse scall, Mat *submat[])
839 {
840   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
841 }
842 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
843 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
844 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
845 PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatrix()", ) static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat)
846 {
847   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
848 }
849 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
850 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
851 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
852 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);
853 
854 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm, Mat, PetscInt, PetscInt, MatReuse, Mat *);
855 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm, Mat, PetscInt, PetscInt, Mat *);
856 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat, Mat);
857 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat, MatReuse, Mat *);
858 PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat, Mat *);
859 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
860 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat, MatReuse, IS *, Mat *);
861 PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat, PetscCount *);
862 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat, Mat, MatReuse, IS *, IS *, Mat *);
863 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *, const PetscInt *[]);
864 
865 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
866 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat, PetscInt n, IS is[], PetscInt ov);
867 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);
868 
869 PETSC_EXTERN PetscErrorCode MatMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
870 
871 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
872 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
873 
874 PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
875 PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);
876 
877 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
878 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);
879 
880 PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
881 PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);
882 
883 PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
884 PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);
885 
886 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping, ISLocalToGlobalMapping);
887 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
888 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat, PetscLayout *, PetscLayout *);
889 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat, PetscLayout, PetscLayout);
890 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
891 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
892 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
893 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
894 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
895 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
896 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
897 
898 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
899 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);
900 
901 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat, Vec, Vec);
902 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat, Vec, Vec, Vec);
903 PETSC_EXTERN PetscErrorCode MatRestrict(Mat, Vec, Vec);
904 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat, Mat, Mat *);
905 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat, Mat, Mat, Mat *);
906 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat, Mat, Mat *);
907 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat, Vec *, Vec *);
908 PETSC_DEPRECATED_FUNCTION(3, 6, 0, "MatCreateVecs()", ) static inline PetscErrorCode MatGetVecs(Mat mat, Vec *x, Vec *y)
909 {
910   return MatCreateVecs(mat, x, y);
911 }
912 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat, PetscInt, MPI_Comm, MatReuse, Mat *);
913 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat, MPI_Comm, MatReuse, Mat *);
914 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat, IS *);
915 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat, IS *);
916 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm, Mat, PetscInt, MatReuse, Mat *);
917 
918 /*MC
919    MatSetValue - Set a single entry into a matrix.
920 
921    This value may be cached, so `MatAssemblyBegin()` and `MatAssemblyEnd()`
922    MUST be called after all calls to `MatSetValue()` have been completed.
923 
924    Synopsis:
925      #include <petscmat.h>
926      PetscErrorCode MatSetValue(Mat m,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode)
927 
928    Not Collective
929 
930    Input Parameters:
931 +  m - the matrix
932 .  i - the row location of the entry
933 .  j - the column location of the entry
934 .  va - the value to insert
935 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
936 
937    Level: beginner
938 
939    Note:
940    For efficiency one should use `MatSetValues()` and set several values simultaneously.
941 
942 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd`, `InsertMode`, `MatGetValue()`, `MatSetValues()`,
943           `MatSetValueLocal()`, `MatSetValuesLocal()`
944 M*/
945 static inline PetscErrorCode MatSetValue(Mat m, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
946 {
947   return MatSetValues(m, 1, &i, 1, &j, &va, mode);
948 }
949 
950 /*@C
951    MatGetValue - Gets a single value from a matrix
952 
953    Not Collective; can only return a value owned by the given process
954 
955    Input Parameters:
956 +  mat - the matrix
957 .  row - the row location of the entry
958 -  col - the column location of the entry
959 
960    Output Parameter:
961 .  va - the value
962 
963    Level: advanced
964 
965    Notes:
966    The matrix must have been assembled with `MatAssemblyBegin()` and `MatAssemblyEnd` before this call
967 
968    For efficiency one should use `MatGetValues()` and get several values simultaneously.
969 
970    See notes for `MatGetValues()`.
971 
972 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd`, `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
973 @*/
974 static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
975 {
976   return MatGetValues(mat, 1, &row, 1, &col, va);
977 }
978 
979 /*MC
980    MatSetValueLocal - Inserts or adds a single value into a matrix, using a local numbering of the nodes.
981 
982    Not Collective
983 
984    Input Parameters:
985 +  m - the matrix
986 .  i - the row location of the entry
987 .  j - the column location of the entry
988 .  va - the value to insert
989 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
990 
991    Level: intermediate
992 
993    Notes:
994    For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.
995 
996    See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.
997 
998 .seealso: [](ch_matrices), `MatSetValue()`, `MatSetValuesLocal()`
999 M*/
1000 static inline PetscErrorCode MatSetValueLocal(Mat m, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
1001 {
1002   return MatSetValuesLocal(m, 1, &i, 1, &j, &va, mode);
1003 }
1004 
1005 /*MC
1006    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
1007        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1008 
1009    Synopsis:
1010    #include <petscmat.h>
1011    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
1012 
1013    Collective
1014 
1015    Input Parameters:
1016 +  comm - the communicator that will share the eventually allocated matrix
1017 .  nrows - the number of LOCAL rows in the matrix
1018 -  ncols - the number of LOCAL columns in the matrix
1019 
1020    Output Parameters:
1021 +  dnz - the array that will be passed to the matrix preallocation routines
1022 -  onz - the other array passed to the matrix preallocation routines
1023 
1024    Level: deprecated (since v3.19)
1025 
1026    Notes:
1027    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1028    the use of this routine
1029 
1030    This is a macro that handles its own error checking, it does not return an error code.
1031 
1032    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1033 
1034    Developer Note:
1035     This is a MACRO not a function because it has a leading { that is closed by `PetscPreallocateFinalize()`.
1036 
1037 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1038           `MatPreallocateSymmetricSetLocalBlock()`
1039 M*/
1040 #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
1041   do { \
1042     PetscInt              __nrows = (nrows), __ncols = (ncols), __rstart, __end = 0; \
1043     PetscInt PETSC_UNUSED __start; \
1044     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
1045     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
1046     __start = __end - __ncols; \
1047     (void)__start; \
1048     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
1049   __rstart -= __nrows
1050 
1051 #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateBegin()", ) MatPreallocateBegin(__VA_ARGS__)
1052 
1053 /*MC
1054    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1055        inserted using a local number of the rows and columns
1056 
1057    Synopsis:
1058    #include <petscmat.h>
1059    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1060 
1061    Not Collective
1062 
1063    Input Parameters:
1064 +  map - the row mapping from local numbering to global numbering
1065 .  nrows - the number of rows indicated
1066 .  rows - the indices of the rows
1067 .  cmap - the column mapping from local to global numbering
1068 .  ncols - the number of columns in the matrix
1069 .  cols - the columns indicated
1070 .  dnz - the array that will be passed to the matrix preallocation routines
1071 -  onz - the other array passed to the matrix preallocation routines
1072 
1073    Level: deprecated (since v3.19)
1074 
1075    Notes:
1076    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1077    the use of this routine
1078 
1079    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1080 
1081 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1082           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
1083 M*/
1084 #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1085   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));)
1086 
1087 /*MC
1088    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1089        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
1090 
1091    Synopsis:
1092    #include <petscmat.h>
1093    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1094 
1095    Not Collective
1096 
1097    Input Parameters:
1098 +  map - the row mapping from local numbering to global numbering
1099 .  nrows - the number of rows indicated
1100 .  rows - the indices of the rows (these values are mapped to the global values)
1101 .  cmap - the column mapping from local to global numbering
1102 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1103 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1104 .  dnz - the array that will be passed to the matrix preallocation routines
1105 -  onz - the other array passed to the matrix preallocation routines
1106 
1107    Level: deprecated (since v3.19)
1108 
1109    Notes:
1110    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1111    the use of this routine
1112 
1113    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1114 
1115 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1116           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1117 M*/
1118 #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1119   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));)
1120 
1121 /*MC
1122    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1123        inserted using a local number of the rows and columns
1124 
1125    Synopsis:
1126    #include <petscmat.h>
1127    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1128 
1129    Not Collective
1130 
1131    Input Parameters:
1132 +  map - the row mapping from local numbering to global numbering
1133 .  nrows - the number of rows indicated
1134 .  rows - the indices of the rows
1135 .  cmap - the column mapping from local to global numbering
1136 .  ncols - the number of columns in the matrix
1137 .  cols - the columns indicated
1138 .  dnz - the array that will be passed to the matrix preallocation routines
1139 -  onz - the other array passed to the matrix preallocation routines
1140 
1141    Level: deprecated (since v3.19)
1142 
1143    Notes:
1144    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1145    the use of this routine
1146 
1147    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1148 
1149 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1150           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1151 M*/
1152 #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1153   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));)
1154 
1155 /*MC
1156    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1157        inserted using a local number of the rows and columns
1158 
1159    Synopsis:
1160    #include <petscmat.h>
1161    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1162 
1163    Not Collective
1164 
1165    Input Parameters:
1166 +  map - the mapping between local numbering and global numbering
1167 .  nrows - the number of rows indicated
1168 .  rows - the indices of the rows
1169 .  ncols - the number of columns in the matrix
1170 .  cols - the columns indicated
1171 .  dnz - the array that will be passed to the matrix preallocation routines
1172 -  onz - the other array passed to the matrix preallocation routines
1173 
1174    Level: deprecated (since v3.19)
1175 
1176    Notes:
1177    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1178    the use of this routine
1179 
1180    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1181 
1182 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`
1183           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1184 M*/
1185 #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1186   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));)
1187 
1188 /*MC
1189    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1190        inserted using a local number of the rows and columns
1191 
1192    Synopsis:
1193    #include <petscmat.h>
1194    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1195 
1196    Not Collective
1197 
1198    Input Parameters:
1199 +  row - the row
1200 .  ncols - the number of columns in the matrix
1201 -  cols - the columns indicated
1202 
1203    Output Parameters:
1204 +  dnz - the array that will be passed to the matrix preallocation routines
1205 -  onz - the other array passed to the matrix preallocation routines
1206 
1207    Level: deprecated (since v3.19)
1208 
1209    Notes:
1210    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1211    the use of this routine
1212 
1213    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1214 
1215    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1216 
1217 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1218           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1219 M*/
1220 #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1221   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) { \
1222     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1223     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1224   })
1225 
1226 /*MC
1227    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1228        inserted using a local number of the rows and columns
1229 
1230    Synopsis:
1231    #include <petscmat.h>
1232    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1233 
1234    Not Collective
1235 
1236    Input Parameters:
1237 +  nrows - the number of rows indicated
1238 .  rows - the indices of the rows
1239 .  ncols - the number of columns in the matrix
1240 .  cols - the columns indicated
1241 .  dnz - the array that will be passed to the matrix preallocation routines
1242 -  onz - the other array passed to the matrix preallocation routines
1243 
1244    Level: deprecated (since v3.19)
1245 
1246    Notes:
1247    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1248    the use of this routine
1249 
1250    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1251 
1252    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1253 
1254 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1255           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1256 M*/
1257 #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1258   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
1259     if (cols[__i] >= __end) onz[row - __rstart]++; \
1260     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1261   })
1262 
1263 /*MC
1264    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1265 
1266    Synopsis:
1267    #include <petscmat.h>
1268    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1269 
1270    Not Collective
1271 
1272    Input Parameters:
1273 +  A - matrix
1274 .  row - row where values exist (must be local to this process)
1275 .  ncols - number of columns
1276 .  cols - columns with nonzeros
1277 .  dnz - the array that will be passed to the matrix preallocation routines
1278 -  onz - the other array passed to the matrix preallocation routines
1279 
1280    Level: deprecated (since v3.19)
1281 
1282    Notes:
1283    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1284    the use of this routine
1285 
1286    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1287 
1288   This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
1289 
1290 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1291           `MatPreallocateSymmetricSetLocalBlock()`
1292 M*/
1293 #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))
1294 
1295 /*MC
1296    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1297        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1298 
1299    Synopsis:
1300    #include <petscmat.h>
1301    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)
1302 
1303    Collective
1304 
1305    Input Parameters:
1306 +  dnz - the array that was be passed to the matrix preallocation routines
1307 -  onz - the other array passed to the matrix preallocation routines
1308 
1309    Level: deprecated (since v3.19)
1310 
1311    Notes:
1312    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1313    the use of this routine
1314 
1315    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1316 
1317    Developer Note:
1318     This is a MACRO not a function because it closes the { started in MatPreallocateBegin().
1319 
1320 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1321           `MatPreallocateSymmetricSetLocalBlock()`
1322 M*/
1323 #define MatPreallocateEnd(dnz, onz) \
1324   PetscCall(PetscFree2(dnz, onz)); \
1325   } \
1326   while (0)
1327 
1328 #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateEnd()", ) MatPreallocateEnd(__VA_ARGS__)
1329 
1330 /* Routines unique to particular data structures */
1331 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, void *);
1332 
1333 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1334 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);
1335 
1336 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1337 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1338 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1339 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1340 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1341 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscInt, PetscBool);
1342 
1343 #define MAT_SKIP_ALLOCATION -4
1344 
1345 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1346 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1347 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1348 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);
1349 
1350 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1351 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1352 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1353 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1354 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1355 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1356 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1357 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1358 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1359 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1360 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1361 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1362 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1363 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1364 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);
1365 
1366 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1367 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1368 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatDenseSetLDA()", ) static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
1369 {
1370   return MatDenseSetLDA(A, lda);
1371 }
1372 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);
1373 
1374 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1375 
1376 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1377 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1378 
1379 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1380 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1381 /*
1382   These routines are not usually accessed directly, rather solving is
1383   done through the KSP and PC interfaces.
1384 */
1385 
1386 /*J
1387     MatOrderingType - String with the name of a PETSc matrix ordering. These orderings are most commonly used
1388     to reduce fill in sparse factorizations.
1389 
1390    Level: beginner
1391 
1392    Notes:
1393    If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and instead the external factorization solver package called utilizes one
1394    of its own.
1395 
1396    There is no `MatOrdering` object, the ordering is obtained directly from the matrix with `MatGetOrdering()`
1397 
1398    Developer Note:
1399    This API should be converted to an API similar to those for `MatColoring` and `MatPartitioning`
1400 
1401 .seealso: [](ch_matrices), [](sec_graph), `MatGetFactor()`, `MatGetOrdering()`, `MatColoringType`, `MatPartitioningType`, `MatCoarsenType`, `MatCoarsenType`,
1402           `PCFactorSetOrderingType()`
1403 J*/
1404 typedef const char *MatOrderingType;
1405 #define MATORDERINGNATURAL       "natural"
1406 #define MATORDERINGND            "nd"
1407 #define MATORDERING1WD           "1wd"
1408 #define MATORDERINGRCM           "rcm"
1409 #define MATORDERINGQMD           "qmd"
1410 #define MATORDERINGROWLENGTH     "rowlength"
1411 #define MATORDERINGWBM           "wbm"
1412 #define MATORDERINGSPECTRAL      "spectral"
1413 #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1414 #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1415 #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 */
1416 #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */
1417 
1418 PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1419 PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1420 PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1421 PETSC_EXTERN PetscFunctionList MatOrderingList;
1422 
1423 #include "petscmatcoarsen.h"
1424 
1425 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1426 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);
1427 
1428 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);
1429 
1430 /*S
1431     MatFactorShiftType - Type of numeric shift used for factorizations
1432 
1433    Values:
1434 +  `MAT_SHIFT_NONE` - do not shift the matrix diagonal entries
1435 .  `MAT_SHIFT_NONZERO` - shift the entries to be non-zero
1436 .  `MAT_SHIFT_POSITIVE_DEFINITE` - shift the entries to force the factorization to be positive definite
1437 -  `MAT_SHIFT_INBLOCKS` - only shift the factors inside the small dense diagonal blocks of the matrix, for example with `MATBAIJ`
1438 
1439    Level: intermediate
1440 
1441 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `PCFactorSetShiftType()`
1442 S*/
1443 typedef enum {
1444   MAT_SHIFT_NONE,
1445   MAT_SHIFT_NONZERO,
1446   MAT_SHIFT_POSITIVE_DEFINITE,
1447   MAT_SHIFT_INBLOCKS
1448 } MatFactorShiftType;
1449 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1450 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1451 
1452 /*S
1453     MatFactorError - indicates what type of error was generated in a matrix factorization
1454 
1455     Values:
1456 +   `MAT_FACTOR_NOERROR` - there was no error during the factorization
1457 .   `MAT_FACTOR_STRUCT_ZEROPIVOT` - there was a missing entry in a diagonal location of the matrix
1458 .   `MAT_FACTOR_NUMERIC_ZEROPIVOT` - there was a (near) zero pivot during the factorization
1459 .   `MAT_FACTOR_OUTMEMORY` - the factorization has run out of memory
1460 -   `MAT_FACTOR_OTHER` - some other error has occurred.
1461 
1462     Level: intermediate
1463 
1464     Note:
1465     When a factorization is done in a preconditioner `PC` the error may be propagated up to a `PCFailedReason` or a `KSPConvergedReason`
1466 
1467 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `MatFactorGetError()`, `MatFactorGetErrorZeroPivot()`, `MatFactorClearError()`,
1468           `PCFailedReason`, `PCGetFailedReason()`, `KSPConvergedReason`
1469 S*/
1470 typedef enum {
1471   MAT_FACTOR_NOERROR,
1472   MAT_FACTOR_STRUCT_ZEROPIVOT,
1473   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1474   MAT_FACTOR_OUTMEMORY,
1475   MAT_FACTOR_OTHER
1476 } MatFactorError;
1477 
1478 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1479 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1480 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);
1481 
1482 /*S
1483    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1484 
1485    Level: developer
1486 
1487    Note:
1488    You can use `MatFactorInfoInitialize()` to set default values.
1489 
1490    Fortran Note:
1491    The data is available in a double precision arrays of size `MAT_FACTORINFO_SIZE`
1492 
1493 .seealso: [](ch_matrices), `Mat`, `MatInfo`, `MatGetFactor()`, `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`,
1494           `MatICCFactorSymbolic()`, `MatICCFactor()`, `MatFactorInfoInitialize()`
1495 S*/
1496 typedef struct {
1497   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1498   PetscReal usedt;
1499   PetscReal dt;            /* drop tolerance */
1500   PetscReal dtcol;         /* tolerance for pivoting */
1501   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1502   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1503   PetscReal levels;        /* ICC/ILU(levels) */
1504   PetscReal pivotinblocks; /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1505                                    factorization may be faster if do not pivot */
1506   PetscReal zeropivot;     /* pivot is called zero if less than this */
1507   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1508   PetscReal shiftamount;   /* how large the shift is */
1509 } MatFactorInfo;
1510 
1511 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1512 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1513 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1514 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1515 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1516 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1517 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1518 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1519 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1520 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1521 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1522 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1523 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1524 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1525 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1526 PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1527 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1528 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1529 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1530 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1531 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1532 PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1533 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1534 
1535 typedef enum {
1536   MAT_FACTOR_SCHUR_UNFACTORED,
1537   MAT_FACTOR_SCHUR_FACTORED,
1538   MAT_FACTOR_SCHUR_INVERTED
1539 } MatFactorSchurStatus;
1540 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1541 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1542 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1543 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1544 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1545 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1546 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1547 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1548 
1549 PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1550 /*E
1551     MatSORType - What type of (S)SOR to perform
1552 
1553    Values:
1554 +  `SOR_FORWARD_SWEEP` - do a sweep from the first row of the matrix to the last
1555 .  `SOR_BACKWARD_SWEEP` -  do a sweep from the last row to the first
1556 .  `SOR_SYMMETRIC_SWEEP` - do a sweep from the first row to the last and then back to the first
1557 .  `SOR_LOCAL_FORWARD_SWEEP` - each MPI rank does its own forward sweep with no communication
1558 .  `SOR_LOCAL_BACKWARD_SWEEP` - each MPI rank does its own backward sweep with no communication
1559 .  `SOR_LOCAL_SYMMETRIC_SWEEP` - each MPI rank does its own symmetric sweep with no communication
1560 .  `SOR_ZERO_INITIAL_GUESS` - indicates the initial solution is zero so the sweep can avoid unneeded computation
1561 .  `SOR_EISENSTAT` - apply the Eisentat application of SOR, see `PCEISENSTAT`
1562 .  `SOR_APPLY_UPPER` - multiply by the upper triangular portion of the matrix
1563 -  `SOR_APPLY_LOWER` - multiply by the lower triangular portion of the matrix
1564 
1565     Level: beginner
1566 
1567    Note:
1568    These may be bitwise ORd together
1569 
1570    Developer Note:
1571    Since `MatSORType` may be bitwise ORd together, so do not change the numerical values below
1572 
1573 .seealso: [](ch_matrices), `MatSOR()`
1574 E*/
1575 typedef enum {
1576   SOR_FORWARD_SWEEP         = 1,
1577   SOR_BACKWARD_SWEEP        = 2,
1578   SOR_SYMMETRIC_SWEEP       = 3,
1579   SOR_LOCAL_FORWARD_SWEEP   = 4,
1580   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1581   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1582   SOR_ZERO_INITIAL_GUESS    = 16,
1583   SOR_EISENSTAT             = 32,
1584   SOR_APPLY_UPPER           = 64,
1585   SOR_APPLY_LOWER           = 128
1586 } MatSORType;
1587 PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);
1588 
1589 /*S
1590      MatColoring - Object for managing the coloring of matrices.
1591 
1592    Level: beginner
1593 
1594    Notes:
1595    Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1596    matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).
1597 
1598    Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1599    same object can also be used to efficiently convert data created by Automatic Differentiation tools to PETSc sparse matrices.
1600 
1601 .seealso: [](ch_matrices), [](sec_graph), `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`,
1602           `MatPartitioning`, `MatColoringType`, `MatPartitioningType`, `MatOrderingType`, `MatColoringSetWeightType()`,
1603           `MatColoringSetWeights()`, `MatCoarsenType`, `MatCoarsen`
1604 S*/
1605 typedef struct _p_MatColoring *MatColoring;
1606 
1607 /*J
1608     MatColoringType - String with the name of a PETSc matrix coloring
1609 
1610    Level: beginner
1611 
1612 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatFDColoringCreate()`, `MatColoringSetType()`, `MatColoring`
1613 J*/
1614 typedef const char *MatColoringType;
1615 #define MATCOLORINGJP      "jp"
1616 #define MATCOLORINGPOWER   "power"
1617 #define MATCOLORINGNATURAL "natural"
1618 #define MATCOLORINGSL      "sl"
1619 #define MATCOLORINGLF      "lf"
1620 #define MATCOLORINGID      "id"
1621 #define MATCOLORINGGREEDY  "greedy"
1622 
1623 /*E
1624    MatColoringWeightType - Type of weight scheme used for the coloring algorithm
1625 
1626     Values:
1627 +   `MAT_COLORING_RANDOM`  - Random weights
1628 .   `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1629 -   `MAT_COLORING_LF`      - Last-first weighting.
1630 
1631     Level: intermediate
1632 
1633 .seealso: [](ch_matrices), `MatColoring`, `MatColoringCreate()`, `MatColoringSetWeightType()`, `MatColoringSetWeights()`
1634 E*/
1635 typedef enum {
1636   MAT_COLORING_WEIGHT_RANDOM,
1637   MAT_COLORING_WEIGHT_LEXICAL,
1638   MAT_COLORING_WEIGHT_LF,
1639   MAT_COLORING_WEIGHT_SL
1640 } MatColoringWeightType;
1641 
1642 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1643 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1644 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1645 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1646 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1647 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1648 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1649 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1650 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1651 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1652 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1653 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1654 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1655 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1656 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1657 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1658 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1659 PETSC_DEPRECATED_FUNCTION(3, 10, 0, "MatColoringTest()", ) static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
1660 {
1661   return MatColoringTest(matcoloring, iscoloring);
1662 }
1663 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);
1664 
1665 /*S
1666      MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring
1667 
1668    Level: beginner
1669 
1670    Notes:
1671    This object is creating utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`
1672 
1673    The `SNES` option `-snes_fd_coloring` will cause the Jacobian needed by `SNES` to be computed via a use of this object
1674 
1675 .seealso: [](ch_matrices), `Mat`, `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1676 S*/
1677 typedef struct _p_MatFDColoring *MatFDColoring;
1678 
1679 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1680 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1681 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1682 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, PetscErrorCode (*)(void), void *);
1683 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, PetscErrorCode (**)(void), void **);
1684 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1685 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1686 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1687 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1688 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1689 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1690 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1691 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);
1692 
1693 /*S
1694      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1695 
1696    Level: developer
1697 
1698 .seealso: [](ch_matrices), `Mat`, `MatProductType`, `MatTransposeColoringCreate()`
1699 S*/
1700 typedef struct _p_MatTransposeColoring *MatTransposeColoring;
1701 
1702 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1703 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1704 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1705 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);
1706 
1707 /*S
1708      MatPartitioning - Object for managing the partitioning of a matrix or graph
1709 
1710    Level: beginner
1711 
1712    Note:
1713      There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1714      via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)
1715 
1716    Developers Note:
1717      It is an extra maintenance and documentation cost to have two objects with the same functionality. `PetscPartitioner` should be removed
1718 
1719 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`, `MatOrderingType`,
1720           `MatCoarsenType`, `MatCoarsenType`
1721 S*/
1722 typedef struct _p_MatPartitioning *MatPartitioning;
1723 
1724 /*J
1725     MatPartitioningType - String with the name of a PETSc matrix partitioning
1726 
1727    Level: beginner
1728 dm
1729 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`, `MatColoringType`, `MatOrderingType`,
1730           `MatCoarsenType`, `MatCoarsenType`
1731 J*/
1732 typedef const char *MatPartitioningType;
1733 #define MATPARTITIONINGCURRENT  "current"
1734 #define MATPARTITIONINGAVERAGE  "average"
1735 #define MATPARTITIONINGSQUARE   "square"
1736 #define MATPARTITIONINGPARMETIS "parmetis"
1737 #define MATPARTITIONINGCHACO    "chaco"
1738 #define MATPARTITIONINGPARTY    "party"
1739 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1740 #define MATPARTITIONINGHIERARCH "hierarch"
1741 
1742 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1743 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1744 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1745 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1746 PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1747 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1748 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1749 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1750 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1751 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1752 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1753 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1754 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1755 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1756 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1757 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1758 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1759 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1760 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);
1761 
1762 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1763 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1764 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1765 
1766 typedef enum {
1767   MP_CHACO_MULTILEVEL = 1,
1768   MP_CHACO_SPECTRAL   = 2,
1769   MP_CHACO_LINEAR     = 4,
1770   MP_CHACO_RANDOM     = 5,
1771   MP_CHACO_SCATTERED  = 6
1772 } MPChacoGlobalType;
1773 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1774 typedef enum {
1775   MP_CHACO_KERNIGHAN = 1,
1776   MP_CHACO_NONE      = 2
1777 } MPChacoLocalType;
1778 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1779 typedef enum {
1780   MP_CHACO_LANCZOS = 0,
1781   MP_CHACO_RQI     = 1
1782 } MPChacoEigenType;
1783 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1784 
1785 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1786 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1787 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1788 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1789 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1790 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1791 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1792 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1793 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1794 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1795 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);
1796 
1797 #define MP_PARTY_OPT "opt"
1798 #define MP_PARTY_LIN "lin"
1799 #define MP_PARTY_SCA "sca"
1800 #define MP_PARTY_RAN "ran"
1801 #define MP_PARTY_GBF "gbf"
1802 #define MP_PARTY_GCF "gcf"
1803 #define MP_PARTY_BUB "bub"
1804 #define MP_PARTY_DEF "def"
1805 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1806 #define MP_PARTY_HELPFUL_SETS  "hs"
1807 #define MP_PARTY_KERNIGHAN_LIN "kl"
1808 #define MP_PARTY_NONE          "no"
1809 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1810 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1811 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1812 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);
1813 
1814 typedef enum {
1815   MP_PTSCOTCH_DEFAULT,
1816   MP_PTSCOTCH_QUALITY,
1817   MP_PTSCOTCH_SPEED,
1818   MP_PTSCOTCH_BALANCE,
1819   MP_PTSCOTCH_SAFETY,
1820   MP_PTSCOTCH_SCALABILITY
1821 } MPPTScotchStrategyType;
1822 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1823 
1824 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1825 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1826 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1827 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);
1828 
1829 /*
1830  * hierarchical partitioning
1831  */
1832 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1833 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1834 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1835 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1836 
1837 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);
1838 
1839 /*
1840     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1841     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1842 */
1843 typedef enum {
1844   MATOP_SET_VALUES               = 0,
1845   MATOP_GET_ROW                  = 1,
1846   MATOP_RESTORE_ROW              = 2,
1847   MATOP_MULT                     = 3,
1848   MATOP_MULT_ADD                 = 4,
1849   MATOP_MULT_TRANSPOSE           = 5,
1850   MATOP_MULT_TRANSPOSE_ADD       = 6,
1851   MATOP_SOLVE                    = 7,
1852   MATOP_SOLVE_ADD                = 8,
1853   MATOP_SOLVE_TRANSPOSE          = 9,
1854   MATOP_SOLVE_TRANSPOSE_ADD      = 10,
1855   MATOP_LUFACTOR                 = 11,
1856   MATOP_CHOLESKYFACTOR           = 12,
1857   MATOP_SOR                      = 13,
1858   MATOP_TRANSPOSE                = 14,
1859   MATOP_GETINFO                  = 15,
1860   MATOP_EQUAL                    = 16,
1861   MATOP_GET_DIAGONAL             = 17,
1862   MATOP_DIAGONAL_SCALE           = 18,
1863   MATOP_NORM                     = 19,
1864   MATOP_ASSEMBLY_BEGIN           = 20,
1865   MATOP_ASSEMBLY_END             = 21,
1866   MATOP_SET_OPTION               = 22,
1867   MATOP_ZERO_ENTRIES             = 23,
1868   MATOP_ZERO_ROWS                = 24,
1869   MATOP_LUFACTOR_SYMBOLIC        = 25,
1870   MATOP_LUFACTOR_NUMERIC         = 26,
1871   MATOP_CHOLESKY_FACTOR_SYMBOLIC = 27,
1872   MATOP_CHOLESKY_FACTOR_NUMERIC  = 28,
1873   MATOP_SETUP                    = 29,
1874   MATOP_ILUFACTOR_SYMBOLIC       = 30,
1875   MATOP_ICCFACTOR_SYMBOLIC       = 31,
1876   MATOP_GET_DIAGONAL_BLOCK       = 32,
1877   MATOP_SET_INF                  = 33,
1878   MATOP_DUPLICATE                = 34,
1879   MATOP_FORWARD_SOLVE            = 35,
1880   MATOP_BACKWARD_SOLVE           = 36,
1881   MATOP_ILUFACTOR                = 37,
1882   MATOP_ICCFACTOR                = 38,
1883   MATOP_AXPY                     = 39,
1884   MATOP_CREATE_SUBMATRICES       = 40,
1885   MATOP_INCREASE_OVERLAP         = 41,
1886   MATOP_GET_VALUES               = 42,
1887   MATOP_COPY                     = 43,
1888   MATOP_GET_ROW_MAX              = 44,
1889   MATOP_SCALE                    = 45,
1890   MATOP_SHIFT                    = 46,
1891   MATOP_DIAGONAL_SET             = 47,
1892   MATOP_ZERO_ROWS_COLUMNS        = 48,
1893   MATOP_SET_RANDOM               = 49,
1894   MATOP_GET_ROW_IJ               = 50,
1895   MATOP_RESTORE_ROW_IJ           = 51,
1896   MATOP_GET_COLUMN_IJ            = 52,
1897   MATOP_RESTORE_COLUMN_IJ        = 53,
1898   MATOP_FDCOLORING_CREATE        = 54,
1899   MATOP_COLORING_PATCH           = 55,
1900   MATOP_SET_UNFACTORED           = 56,
1901   MATOP_PERMUTE                  = 57,
1902   MATOP_SET_VALUES_BLOCKED       = 58,
1903   MATOP_CREATE_SUBMATRIX         = 59,
1904   MATOP_DESTROY                  = 60,
1905   MATOP_VIEW                     = 61,
1906   MATOP_CONVERT_FROM             = 62,
1907   /* MATOP_PLACEHOLDER_63=63 */
1908   MATOP_MATMAT_MULT_SYMBOLIC    = 64,
1909   MATOP_MATMAT_MULT_NUMERIC     = 65,
1910   MATOP_SET_LOCAL_TO_GLOBAL_MAP = 66,
1911   MATOP_SET_VALUES_LOCAL        = 67,
1912   MATOP_ZERO_ROWS_LOCAL         = 68,
1913   MATOP_GET_ROW_MAX_ABS         = 69,
1914   MATOP_GET_ROW_MIN_ABS         = 70,
1915   MATOP_CONVERT                 = 71,
1916   MATOP_HAS_OPERATION           = 72,
1917   /* MATOP_PLACEHOLDER_73=73, */
1918   MATOP_SET_VALUES_ADIFOR = 74,
1919   MATOP_FD_COLORING_APPLY = 75,
1920   MATOP_SET_FROM_OPTIONS  = 76,
1921   /* MATOP_PLACEHOLDER_77=77, */
1922   /* MATOP_PLACEHOLDER_78=78, */
1923   MATOP_FIND_ZERO_DIAGONALS       = 79,
1924   MATOP_MULT_MULTIPLE             = 80,
1925   MATOP_SOLVE_MULTIPLE            = 81,
1926   MATOP_GET_INERTIA               = 82,
1927   MATOP_LOAD                      = 83,
1928   MATOP_IS_SYMMETRIC              = 84,
1929   MATOP_IS_HERMITIAN              = 85,
1930   MATOP_IS_STRUCTURALLY_SYMMETRIC = 86,
1931   MATOP_SET_VALUES_BLOCKEDLOCAL   = 87,
1932   MATOP_CREATE_VECS               = 88,
1933   /* MATOP_PLACEHOLDER_89=89, */
1934   MATOP_MAT_MULT_SYMBOLIC = 90,
1935   MATOP_MAT_MULT_NUMERIC  = 91,
1936   /* MATOP_PLACEHOLDER_92=92, */
1937   MATOP_PTAP_SYMBOLIC = 93,
1938   MATOP_PTAP_NUMERIC  = 94,
1939   /* MATOP_PLACEHOLDER_95=95, */
1940   MATOP_MAT_TRANSPOSE_MULT_SYMBO = 96,
1941   MATOP_MAT_TRANSPOSE_MULT_NUMER = 97,
1942   MATOP_BIND_TO_CPU              = 98,
1943   MATOP_PRODUCTSETFROMOPTIONS    = 99,
1944   MATOP_PRODUCTSYMBOLIC          = 100,
1945   MATOP_PRODUCTNUMERIC           = 101,
1946   MATOP_CONJUGATE                = 102,
1947   MATOP_VIEW_NATIVE              = 103,
1948   MATOP_SET_VALUES_ROW           = 104,
1949   MATOP_REAL_PART                = 105,
1950   MATOP_IMAGINARY_PART           = 106,
1951   MATOP_GET_ROW_UPPER_TRIANGULAR = 107,
1952   MATOP_RESTORE_ROW_UPPER_TRIANG = 108,
1953   MATOP_MAT_SOLVE                = 109,
1954   MATOP_MAT_SOLVE_TRANSPOSE      = 110,
1955   MATOP_GET_ROW_MIN              = 111,
1956   MATOP_GET_COLUMN_VECTOR        = 112,
1957   MATOP_MISSING_DIAGONAL         = 113,
1958   MATOP_GET_SEQ_NONZERO_STRUCTUR = 114,
1959   MATOP_CREATE                   = 115,
1960   MATOP_GET_GHOSTS               = 116,
1961   MATOP_GET_LOCAL_SUB_MATRIX     = 117,
1962   MATOP_RESTORE_LOCALSUB_MATRIX  = 118,
1963   MATOP_MULT_DIAGONAL_BLOCK      = 119,
1964   MATOP_HERMITIAN_TRANSPOSE      = 120,
1965   MATOP_MULT_HERMITIAN_TRANSPOSE = 121,
1966   MATOP_MULT_HERMITIAN_TRANS_ADD = 122,
1967   MATOP_GET_MULTI_PROC_BLOCK     = 123,
1968   MATOP_FIND_NONZERO_ROWS        = 124,
1969   MATOP_GET_COLUMN_NORMS         = 125,
1970   MATOP_INVERT_BLOCK_DIAGONAL    = 126,
1971   MATOP_INVERT_VBLOCK_DIAGONAL   = 127,
1972   MATOP_CREATE_SUB_MATRICES_MPI  = 128,
1973   MATOP_SET_VALUES_BATCH         = 129,
1974   /* MATOP_PLACEHOLDER_130=130, */
1975   MATOP_TRANSPOSE_MAT_MULT_SYMBO = 131,
1976   MATOP_TRANSPOSE_MAT_MULT_NUMER = 132,
1977   MATOP_TRANSPOSE_COLORING_CREAT = 133,
1978   MATOP_TRANS_COLORING_APPLY_SPT = 134,
1979   MATOP_TRANS_COLORING_APPLY_DEN = 135,
1980   /* MATOP_PLACEHOLDER_136=136, */
1981   MATOP_RART_SYMBOLIC         = 137,
1982   MATOP_RART_NUMERIC          = 138,
1983   MATOP_SET_BLOCK_SIZES       = 139,
1984   MATOP_AYPX                  = 140,
1985   MATOP_RESIDUAL              = 141,
1986   MATOP_FDCOLORING_SETUP      = 142,
1987   MATOP_FIND_OFFBLOCK_ENTRIES = 143,
1988   MATOP_MPICONCATENATESEQ     = 144,
1989   MATOP_DESTROYSUBMATRICES    = 145,
1990   MATOP_TRANSPOSE_SOLVE       = 146,
1991   MATOP_GET_VALUES_LOCAL      = 147
1992 } MatOperation;
1993 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, void (*)(void));
1994 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, void (**)(void));
1995 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
1996 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
1997 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatProductClear()", ) static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
1998 {
1999   return MatProductClear(A);
2000 }
2001 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, void (*)(void));
2002 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, void (**)(void));
2003 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, void *);
2004 PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscErrorCode (*)(void *));
2005 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
2006 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2007 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2008 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
2009 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscErrorCode (*)(void *), MatType, MatType);
2010 PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);
2011 
2012 /*
2013    Codes for matrices stored on disk. By default they are
2014    stored in a universal format. By changing the format with
2015    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
2016    be stored in a way natural for the matrix, for example dense matrices
2017    would be stored as dense. Matrices stored this way may only be
2018    read into matrices of the same type.
2019 */
2020 #define MATRIX_BINARY_FORMAT_DENSE -1
2021 
2022 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);
2023 
2024 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
2025 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
2026 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
2027 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
2028 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
2029 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
2030 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
2031 PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
2032 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION(3, 10, 0, "MatConvert()", ) PetscErrorCode MatISGetMPIXAIJ(Mat, MatReuse, Mat *);
2033 
2034 /*S
2035      MatNullSpace - Object that removes a null space from a vector, i.e.
2036          orthogonalizes the vector to a subspace
2037 
2038    Level: advanced
2039 
2040 .seealso: [](ch_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2041 S*/
2042 typedef struct _p_MatNullSpace *MatNullSpace;
2043 
2044 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
2045 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, PetscErrorCode (*)(MatNullSpace, Vec, void *), void *);
2046 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
2047 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
2048 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
2049 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
2050 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
2051 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
2052 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
2053 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
2054 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
2055 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
2056 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
2057 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);
2058 
2059 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
2060 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
2061 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);
2062 
2063 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
2064 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
2065 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);
2066 
2067 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
2068 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);
2069 
2070 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperator()", ) static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
2071 {
2072   return MatComputeOperator(A, PETSC_NULLPTR, B);
2073 }
2074 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperatorTranspose()", ) static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
2075 {
2076   return MatComputeOperatorTranspose(A, PETSC_NULLPTR, B);
2077 }
2078 
2079 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
2080 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
2081 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
2082 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2083 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
2084 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
2085 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
2086 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2087 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
2088 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
2089 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
2090 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
2091 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
2092 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);
2093 
2094 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);
2095 
2096 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2097 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
2098 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, PetscErrorCode (*)(void *, Vec, Vec), void *);
2099 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, PetscErrorCode (*)(void *, PetscInt, Vec, PetscScalar *));
2100 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, PetscErrorCode (*)(void *, Vec));
2101 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
2102 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
2103 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
2104 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
2105 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
2106 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
2107 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
2108 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, PetscErrorCode (*)(void *, Vec, Vec, PetscScalar *), void *);
2109 
2110 /*S
2111     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2112               Jacobian vector products
2113 
2114     Level: developer
2115 
2116     Notes:
2117     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure
2118 
2119      MatMFFD*() methods actually take the `Mat` as their first argument. Not a `MatMFFD` data structure
2120 
2121     This functionality is often obtained using `MatCreateSNESMF()` or with `SNES` solvers using `-snes_mf` or `-snes_mf_operator`
2122 
2123 .seealso: [](ch_matrices), `MatMFFDType`, `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`,
2124           `MatCreateSNESMF()`, `SNES`, `-snes_mf`, `-snes_mf_operator`
2125 S*/
2126 typedef struct _p_MatMFFD *MatMFFD;
2127 
2128 /*J
2129     MatMFFDType - algorithm used to compute the `h` used in computing matrix-vector products via differencing of a function
2130 
2131    Values:
2132 +   `MATMFFD_DS` - an algorithm described by Dennis and Schnabel
2133 -   `MATMFFD_WP` - the Walker-Pernice strategy.
2134 
2135    Level: beginner
2136 
2137 .seealso: [](ch_matrices), `MatMFFDSetType()`, `MatMFFDRegister()`, `MatMFFDSetFunction()`, `MatCreateMFFD()`
2138 J*/
2139 typedef const char *MatMFFDType;
2140 #define MATMFFD_DS "ds"
2141 #define MATMFFD_WP "wp"
2142 
2143 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2144 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));
2145 
2146 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2147 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);
2148 
2149 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);
2150 
2151 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2152 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
2153 
2154 #ifdef PETSC_HAVE_H2OPUS
2155 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatH2OpusKernel)(PetscInt, PetscReal[], PetscReal[], void *);
2156 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernel, void *, PetscReal, PetscInt, PetscInt, Mat *);
2157 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2158 PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2159 PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
2160 PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat, PetscReal);
2161 PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat, PetscBool);
2162 PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat, PetscBool *);
2163 PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat, IS *);
2164 PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2165 PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2166 #endif
2167 
2168 #ifdef PETSC_HAVE_HTOOL
2169 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatHtoolKernel)(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2170 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernel, void *, Mat *);
2171 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat, MatHtoolKernel, void *);
2172 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat, IS *);
2173 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat, IS *);
2174 PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat, PetscBool);
2175 
2176 /*E
2177      MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`
2178 
2179     Values:
2180 +   `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2181 .   `MAT_HTOOL_COMPRESSOR_FULL_ACA` - full adaptive cross approximation
2182 -   `MAT_HTOOL_COMPRESSOR_SVD` - singular value decomposition
2183 
2184    Level: intermediate
2185 
2186 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2187 E*/
2188 typedef enum {
2189   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2190   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2191   MAT_HTOOL_COMPRESSOR_SVD
2192 } MatHtoolCompressorType;
2193 
2194 /*E
2195      MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`
2196 
2197     Values:
2198 +   `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default) - axis computed via principle component analysis, split uniformly
2199 .   `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC` - axis computed via principle component analysis, split barycentrically
2200 .   `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR` - axis along the largest extent of the bounding box, split uniformly
2201 -   `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically
2202 
2203    Level: intermediate
2204 
2205     Note:
2206     Higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
2207 
2208 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2209 E*/
2210 typedef enum {
2211   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2212   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2213   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2214   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2215 } MatHtoolClusteringType;
2216 #endif
2217 
2218 #ifdef PETSC_HAVE_MUMPS
2219 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2220 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2221 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2222 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);
2223 
2224 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2225 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2226 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2227 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2228 PETSC_EXTERN PetscErrorCode MatMumpsGetNullPivots(Mat, PetscInt *, PetscInt **);
2229 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2230 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2231 #endif
2232 
2233 #ifdef PETSC_HAVE_MKL_PARDISO
2234 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2235 #endif
2236 
2237 #ifdef PETSC_HAVE_MKL_CPARDISO
2238 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2239 #endif
2240 
2241 #ifdef PETSC_HAVE_SUPERLU
2242 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2243 #endif
2244 
2245 #ifdef PETSC_HAVE_SUPERLU_DIST
2246 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2247 #endif
2248 
2249 #ifdef PETSC_HAVE_STRUMPACK
2250 /*E
2251     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `MATSOLVERSTRUMPACK``
2252 
2253     Values:
2254 +  `MAT_STRUMPACK_NATURAL` - use the current ordering
2255 .  `MAT_STRUMPACK_METIS` - use MeTis to compute an ordering
2256 .  `MAT_STRUMPACK_PARMETIS` - use ParMeTis to compute an ordering
2257 .  `MAT_STRUMPACK_SCOTCH` - use Scotch to compute an ordering
2258 .  `MAT_STRUMPACK_PTSCOTCH` - use parallel Scotch to compute an ordering
2259 -  `MAT_STRUMPACK_RCM` - use an RCM ordering
2260 
2261     Level: intermediate
2262 
2263     Developer Note:
2264     Should be called `MatSTRUMPACKReorderingType`
2265 
2266 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetHSSRelTol()`, `MatSTRUMPACKSetReordering()`
2267 E*/
2268 typedef enum {
2269   MAT_STRUMPACK_NATURAL  = 0,
2270   MAT_STRUMPACK_METIS    = 1,
2271   MAT_STRUMPACK_PARMETIS = 2,
2272   MAT_STRUMPACK_SCOTCH   = 3,
2273   MAT_STRUMPACK_PTSCOTCH = 4,
2274   MAT_STRUMPACK_RCM      = 5
2275 } MatSTRUMPACKReordering;
2276 
2277 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2278 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2279 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat, PetscReal);
2280 PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSTRUMPACKSetHSSRelTol()", ) static inline PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat, PetscReal rtol)
2281 {
2282   return MatSTRUMPACKSetHSSRelTol(mat, rtol);
2283 }
2284 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat, PetscReal);
2285 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat, PetscInt);
2286 PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSTRUMPACKSetHSSMinSepSize()", ) static inline PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat, PetscInt hssminsize)
2287 {
2288   return MatSTRUMPACKSetHSSMinSepSize(mat, hssminsize);
2289 }
2290 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat, PetscInt);
2291 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat, PetscInt);
2292 #endif
2293 
2294 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2295 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2296 PETSC_DEPRECATED_FUNCTION(3, 13, 0, "MatBindToCPU()", ) static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2297 {
2298   return MatBindToCPU(A, flg);
2299 }
2300 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2301 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);
2302 
2303 #ifdef PETSC_HAVE_CUDA
2304 /*E
2305     MatCUSPARSEStorageFormat - indicates the storage format for `MATAIJCUSPARSE` (GPU)
2306     matrices.
2307 
2308     Values:
2309 +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2310 .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2311 -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2312 
2313     Level: intermediate
2314 
2315 .seealso: [](ch_matrices), `MATAIJCUSPARSE`, `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2316 E*/
2317 
2318 typedef enum {
2319   MAT_CUSPARSE_CSR,
2320   MAT_CUSPARSE_ELL,
2321   MAT_CUSPARSE_HYB
2322 } MatCUSPARSEStorageFormat;
2323 
2324 /* these will be strings associated with enumerated type defined above */
2325 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2326 
2327 /*E
2328     MatCUSPARSEFormatOperation - indicates the operation of `MATAIJCUSPARSE` (GPU)
2329     matrices whose operation should use a particular storage format.
2330 
2331     Values:
2332 +   `MAT_CUSPARSE_MULT_DIAG` - sets the storage format for the diagonal matrix in the parallel MatMult
2333 .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the offdiagonal matrix in the parallel MatMult
2334 .   `MAT_CUSPARSE_MULT` - sets the storage format for the entire matrix in the serial (single GPU) MatMult
2335 -   `MAT_CUSPARSE_ALL` - sets the storage format for all `MATAIJCUSPARSE` (GPU) matrices
2336 
2337     Level: intermediate
2338 
2339 .seealso: [](ch_matrices), `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2340 E*/
2341 typedef enum {
2342   MAT_CUSPARSE_MULT_DIAG,
2343   MAT_CUSPARSE_MULT_OFFDIAG,
2344   MAT_CUSPARSE_MULT,
2345   MAT_CUSPARSE_ALL
2346 } MatCUSPARSEFormatOperation;
2347 
2348 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2349 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2350 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2351 PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2352 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2353 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2354 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2355 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2356 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2357 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2358 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2359 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);
2360 
2361 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2362 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2363 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2364 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2365 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2366 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2367 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2368 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2369 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2370 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2371 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2372 PETSC_EXTERN PetscErrorCode MatDenseCUDASetPreallocation(Mat, PetscScalar *);
2373 
2374 PETSC_EXTERN PetscErrorCode MatCreateSeqSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2375 PETSC_EXTERN PetscErrorCode MatCreateSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2376 #endif
2377 
2378 #ifdef PETSC_HAVE_HIP
2379 /*E
2380     MatHIPSPARSEStorageFormat - indicates the storage format for `MATAIJHIPSPARSE` (GPU)
2381     matrices.
2382 
2383     Values:
2384 +   `MAT_HIPSPARSE_CSR` - Compressed Sparse Row
2385 .   `MAT_HIPSPARSE_ELL` - Ellpack
2386 -   `MAT_HIPSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format
2387 
2388     Level: intermediate
2389 
2390 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
2391 E*/
2392 
2393 typedef enum {
2394   MAT_HIPSPARSE_CSR,
2395   MAT_HIPSPARSE_ELL,
2396   MAT_HIPSPARSE_HYB
2397 } MatHIPSPARSEStorageFormat;
2398 
2399 /* these will be strings associated with enumerated type defined above */
2400 PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];
2401 
2402 /*E
2403     MatHIPSPARSEFormatOperation - indicates the operation of `MATAIJHIPSPARSE` (GPU)
2404     matrices whose operation should use a particular storage format.
2405 
2406     Values:
2407 +   `MAT_HIPSPARSE_MULT_DIAG` - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2408 .   `MAT_HIPSPARSE_MULT_OFFDIAG` - sets the storage format for the offdiagonal matrix in the parallel `MatMult()`
2409 .   `MAT_HIPSPARSE_MULT` - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2410 -   `MAT_HIPSPARSE_ALL` - sets the storage format for all HIPSPARSE (GPU) matrices
2411 
2412     Level: intermediate
2413 
2414 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
2415 E*/
2416 typedef enum {
2417   MAT_HIPSPARSE_MULT_DIAG,
2418   MAT_HIPSPARSE_MULT_OFFDIAG,
2419   MAT_HIPSPARSE_MULT,
2420   MAT_HIPSPARSE_ALL
2421 } MatHIPSPARSEFormatOperation;
2422 
2423 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2424 PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2425 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
2426 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
2427 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2428 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2429 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
2430 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
2431 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
2432 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
2433 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
2434 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);
2435 
2436 PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2437 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2438 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
2439 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
2440 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
2441 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
2442 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
2443 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
2444 PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
2445 PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
2446 PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);
2447 PETSC_EXTERN PetscErrorCode MatDenseHIPSetPreallocation(Mat, PetscScalar *);
2448 #endif
2449 
2450 #if defined(PETSC_HAVE_VIENNACL)
2451 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2452 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2453 #endif
2454 
2455 #if defined(PETSC_HAVE_FFTW)
2456 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2457 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2458 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2459 #endif
2460 
2461 #if defined(PETSC_HAVE_SCALAPACK)
2462 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2463 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2464 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2465 #endif
2466 
2467 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2468 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2469 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2470 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2471 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2472 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2473 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2474 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2475 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);
2476 
2477 PETSC_EXTERN PetscErrorCode MatFilter(Mat, PetscReal, PetscBool, PetscBool);
2478 PETSC_DEPRECATED_FUNCTION(3, 20, 0, "MatFilter()", ) static inline PetscErrorCode MatChop(Mat A, PetscReal tol)
2479 {
2480   return MatFilter(A, tol, PETSC_FALSE, PETSC_FALSE);
2481 }
2482 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);
2483 
2484 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);
2485 
2486 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);
2487 
2488 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2489 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);
2490 
2491 PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);
2492 
2493 PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, Mat *);
2494 PETSC_EXTERN PetscErrorCode MatEliminateZeros(Mat, PetscBool);
2495 
2496 PETSC_EXTERN PetscErrorCode MatCreateDenseFromVecType(MPI_Comm, VecType, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar *, Mat *);
2497 #endif
2498