xref: /petsc/include/petscmat.h (revision a4e35b1925eceef64945ea472b84f2bf06a67b5e)
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 MatCreateFromOptions(MPI_Comm, const char *, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
353 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat, PetscInt, PetscInt, PetscInt, PetscInt);
354 PETSC_EXTERN PetscErrorCode MatSetType(Mat, MatType);
355 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat, VecType *);
356 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat, VecType);
357 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
358 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat, PetscObject, const char[]);
359 PETSC_EXTERN PetscErrorCode MatRegister(const char[], PetscErrorCode (*)(Mat));
360 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[], const char[], const char[]);
361 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat, const char[]);
362 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefixFactor(Mat, const char[]);
363 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefixFactor(Mat, const char[]);
364 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat, const char[]);
365 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat, const char *[]);
366 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat, PetscBool);
367 
368 PETSC_EXTERN PetscFunctionList MatList;
369 PETSC_EXTERN PetscFunctionList MatColoringList;
370 PETSC_EXTERN PetscFunctionList MatPartitioningList;
371 
372 /*E
373     MatStructure - Indicates if two matrices have the same nonzero structure
374 
375    Values:
376 +  `SAME_NONZERO_PATTERN`  - the two matrices have identical nonzero patterns
377 .  `DIFFERENT_NONZERO_PATTERN` - the two matrices may have different nonzero patterns
378 .  `SUBSET_NONZERO_PATTERN` - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
379 -  `UNKNOWN_NONZERO_PATTERN` - there is no known relationship between the nonzero patterns. In this case the implementations
380                                may try to detect a relationship to optimize the operation
381 
382     Level: beginner
383 
384 .seealso: [](ch_matrices), `Mat`, `MatCopy()`, `MatAXPY()`, `MatAYPX()`
385 E*/
386 typedef enum {
387   DIFFERENT_NONZERO_PATTERN,
388   SUBSET_NONZERO_PATTERN,
389   SAME_NONZERO_PATTERN,
390   UNKNOWN_NONZERO_PATTERN
391 } MatStructure;
392 PETSC_EXTERN const char *const MatStructures[];
393 
394 #if defined                 PETSC_HAVE_MKL_SPARSE
395 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
396 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
397 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
398 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
399 #endif
400 
401 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
402 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
403 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat, PetscInt, const PetscInt[]);
404 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
405 PETSC_EXTERN PetscErrorCode MatSeqSELLGetFillRatio(Mat, PetscReal *);
406 PETSC_EXTERN PetscErrorCode MatSeqSELLGetMaxSliceWidth(Mat, PetscInt *);
407 PETSC_EXTERN PetscErrorCode MatSeqSELLGetAvgSliceWidth(Mat, PetscReal *);
408 PETSC_EXTERN PetscErrorCode MatSeqSELLSetSliceHeight(Mat, PetscInt);
409 PETSC_EXTERN PetscErrorCode MatSeqSELLGetVarSliceSize(Mat, PetscReal *);
410 
411 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
412 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
413 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
414 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
415 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
416 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
417 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArray(Mat, const PetscScalar[]);
418 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], PetscInt[], PetscInt[], PetscScalar[], Mat *);
419 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm, Mat, Mat, const PetscInt[], Mat *);
420 
421 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
422 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
423 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
424 
425 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat, PetscCount, PetscInt[], PetscInt[]);
426 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat, PetscCount, PetscInt[], PetscInt[]);
427 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat, const PetscScalar[], InsertMode);
428 
429 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscInt[], Mat *);
430 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
431 
432 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
433 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
434 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
435 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
436 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], const PetscInt[]);
437 
438 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, void *, Mat *);
439 PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm, PetscInt, PetscInt, Mat *);
440 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat, Mat *);
441 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat, Mat *);
442 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat, Mat, Vec, Mat, Mat *);
443 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat, Mat *, Mat *, Vec *, Mat *);
444 PETSC_EXTERN PetscErrorCode MatLRCSetMats(Mat, Mat, Mat, Vec, Mat);
445 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, ISLocalToGlobalMapping, ISLocalToGlobalMapping, Mat *);
446 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
447 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
448 
449 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm, VecScatter, Mat *);
450 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat, VecScatter);
451 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat, VecScatter *);
452 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt *, Mat *);
453 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat, Mat);
454 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
455 typedef enum {
456   MAT_COMPOSITE_MERGE_RIGHT,
457   MAT_COMPOSITE_MERGE_LEFT
458 } MatCompositeMergeType;
459 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat, MatCompositeMergeType);
460 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm, PetscInt, const Mat *, Mat *);
461 typedef enum {
462   MAT_COMPOSITE_ADDITIVE,
463   MAT_COMPOSITE_MULTIPLICATIVE
464 } MatCompositeType;
465 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat, MatCompositeType);
466 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat, MatCompositeType *);
467 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat, MatStructure);
468 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat, MatStructure *);
469 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat, PetscInt *);
470 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat, PetscInt, Mat *);
471 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat, const PetscScalar *);
472 
473 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm, PetscInt, const PetscInt[], MatType, Mat *);
474 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm, PetscInt, const PetscInt[], Mat *);
475 
476 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat, Mat *);
477 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat, Mat *);
478 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat, Mat *);
479 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat, Mat *);
480 PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat, Mat *);
481 PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat, Mat *);
482 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat, IS, IS, Mat *);
483 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat, Mat, IS, IS);
484 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat, IS, IS, Mat *);
485 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar, Mat *);
486 PETSC_EXTERN PetscErrorCode MatCreateDiagonal(Vec, Mat *);
487 PETSC_EXTERN PetscErrorCode MatDiagonalGetDiagonal(Mat, Vec *);
488 PETSC_EXTERN PetscErrorCode MatDiagonalRestoreDiagonal(Mat, Vec *);
489 PETSC_EXTERN PetscErrorCode MatDiagonalGetInverseDiagonal(Mat, Vec *);
490 PETSC_EXTERN PetscErrorCode MatDiagonalRestoreInverseDiagonal(Mat, Vec *);
491 
492 #if defined(PETSC_HAVE_HYPRE)
493 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
494 #endif
495 
496 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat, const char[]);
497 PETSC_EXTERN PetscErrorCode MatPythonGetType(Mat, const char *[]);
498 
499 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
500 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
501 PETSC_EXTERN PetscErrorCode MatDestroy(Mat *);
502 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat, PetscObjectState *);
503 
504 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
505 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
506 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
507 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat, Mat *);
508 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat, PetscScalar *);
509 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat, const PetscScalar **);
510 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat, PetscInt, const PetscInt *, PetscScalar *);
511 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat, Mat);
512 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat, MatReuse, Mat *);
513 PETSC_EXTERN PetscErrorCode MatComputeVariableBlockEnvelope(Mat);
514 
515 PETSC_EXTERN PetscErrorCode MatSetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
516 PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat, IS, IS, const PetscScalar[], InsertMode);
517 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
518 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat, PetscInt, const PetscScalar[]);
519 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat, PetscInt, const PetscScalar[]);
520 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt[], const PetscScalar[]);
521 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat, PetscRandom);
522 
523 /*S
524      MatStencil - Data structure (C struct) for storing information about rows and
525         columns of a matrix as indexed on an associated grid. These are arguments to `MatSetStencil()` and `MatSetBlockStencil()`
526 
527    Level: beginner
528 
529    Notes:
530    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).
531    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.
532 
533    For stencil access to vectors see `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`.
534 
535    For staggered grids, see `DMStagStencil`
536 
537    Fortran Note:
538    See `MatSetValuesStencil()` for details.
539 
540 .seealso: [](ch_matrices), `Mat`, `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`,
541           `DMStagStencil`
542 S*/
543 typedef struct {
544   PetscInt k, j, i, c;
545 } MatStencil;
546 
547 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
548 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
549 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat, PetscInt, const PetscInt[], const PetscInt[], PetscInt);
550 
551 /*E
552     MatAssemblyType - Indicates if the process of setting values into the matrix is complete, and the matrix is ready for use
553 
554     Values:
555 +   `MAT_FLUSH_ASSEMBLY` - you will continue to put values into the matrix
556 -   `MAT_FINAL_ASSEMBLY` - you wish to use the matrix with the values currently inserted
557 
558     Level: beginner
559 
560 .seealso: [](ch_matrices), `Mat`, `MatSetValues`, `MatAssemblyBegin()`, `MatAssemblyEnd()`
561 E*/
562 typedef enum {
563   MAT_FLUSH_ASSEMBLY = 1,
564   MAT_FINAL_ASSEMBLY = 0
565 } MatAssemblyType;
566 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat, MatAssemblyType);
567 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat, MatAssemblyType);
568 PETSC_EXTERN PetscErrorCode MatAssembled(Mat, PetscBool *);
569 
570 /*E
571     MatOption - Options that may be set for a matrix that indicate properties of the matrix or affect its behavior or storage
572 
573     Level: beginner
574 
575    Note:
576    See `MatSetOption()` for the use of the options
577 
578    Developer Note:
579    Entries that are negative need not be called collectively by all processes.
580 
581 .seealso: [](ch_matrices), `Mat`, `MatSetOption()`
582 E*/
583 typedef enum {
584   MAT_OPTION_MIN                  = -3,
585   MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
586   MAT_ROW_ORIENTED                = -1,
587   MAT_SYMMETRIC                   = 1,
588   MAT_STRUCTURALLY_SYMMETRIC      = 2,
589   MAT_FORCE_DIAGONAL_ENTRIES      = 3,
590   MAT_IGNORE_OFF_PROC_ENTRIES     = 4,
591   MAT_USE_HASH_TABLE              = 5,
592   MAT_KEEP_NONZERO_PATTERN        = 6,
593   MAT_IGNORE_ZERO_ENTRIES         = 7,
594   MAT_USE_INODES                  = 8,
595   MAT_HERMITIAN                   = 9,
596   MAT_SYMMETRY_ETERNAL            = 10,
597   MAT_NEW_NONZERO_LOCATION_ERR    = 11,
598   MAT_IGNORE_LOWER_TRIANGULAR     = 12,
599   MAT_ERROR_LOWER_TRIANGULAR      = 13,
600   MAT_GETROW_UPPERTRIANGULAR      = 14,
601   MAT_SPD                         = 15,
602   MAT_NO_OFF_PROC_ZERO_ROWS       = 16,
603   MAT_NO_OFF_PROC_ENTRIES         = 17,
604   MAT_NEW_NONZERO_LOCATIONS       = 18,
605   MAT_NEW_NONZERO_ALLOCATION_ERR  = 19,
606   MAT_SUBSET_OFF_PROC_ENTRIES     = 20,
607   MAT_SUBMAT_SINGLEIS             = 21,
608   MAT_STRUCTURE_ONLY              = 22,
609   MAT_SORTED_FULL                 = 23,
610   MAT_FORM_EXPLICIT_TRANSPOSE     = 24,
611   MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
612   MAT_SPD_ETERNAL                 = 26,
613   MAT_OPTION_MAX                  = 27
614 } MatOption;
615 
616 PETSC_EXTERN const char *const *MatOptions;
617 PETSC_EXTERN PetscErrorCode     MatSetOption(Mat, MatOption, PetscBool);
618 PETSC_EXTERN PetscErrorCode     MatGetOption(Mat, MatOption, PetscBool *);
619 PETSC_EXTERN PetscErrorCode     MatPropagateSymmetryOptions(Mat, Mat);
620 PETSC_EXTERN PetscErrorCode     MatGetType(Mat, MatType *);
621 
622 PETSC_EXTERN PetscErrorCode    MatGetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
623 PETSC_EXTERN PetscErrorCode    MatGetRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
624 PETSC_EXTERN PetscErrorCode    MatRestoreRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
625 PETSC_EXTERN PetscErrorCode    MatGetRowUpperTriangular(Mat);
626 PETSC_EXTERN PetscErrorCode    MatRestoreRowUpperTriangular(Mat);
627 PETSC_EXTERN PetscErrorCode    MatGetColumnVector(Mat, Vec, PetscInt);
628 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArray(Mat, PetscScalar *[]);
629 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayRead(Mat, const PetscScalar *[]);
630 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayWrite(Mat, PetscScalar *[]);
631 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArray(Mat, PetscScalar *[]);
632 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayRead(Mat, const PetscScalar *[]);
633 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayWrite(Mat, PetscScalar *[]);
634 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetMaxRowNonzeros(Mat, PetscInt *);
635 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetValuesLocalFast(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
636 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetType(Mat, MatType);
637 PETSC_EXTERN PetscErrorCode    MatSeqAIJKron(Mat, Mat, MatReuse, Mat *);
638 PETSC_EXTERN PetscErrorCode    MatSeqAIJRegister(const char[], PetscErrorCode (*)(Mat, MatType, MatReuse, Mat *));
639 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
640 PETSC_EXTERN PetscErrorCode    MatSeqBAIJGetArray(Mat, PetscScalar *[]);
641 PETSC_EXTERN PetscErrorCode    MatSeqBAIJRestoreArray(Mat, PetscScalar *[]);
642 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJGetArray(Mat, PetscScalar *[]);
643 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJRestoreArray(Mat, PetscScalar *[]);
644 PETSC_EXTERN PetscErrorCode    MatDenseGetArray(Mat, PetscScalar *[]);
645 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArray(Mat, PetscScalar *[]);
646 PETSC_EXTERN PetscErrorCode    MatDensePlaceArray(Mat, const PetscScalar[]);
647 PETSC_EXTERN PetscErrorCode    MatDenseReplaceArray(Mat, const PetscScalar[]);
648 PETSC_EXTERN PetscErrorCode    MatDenseResetArray(Mat);
649 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayRead(Mat, const PetscScalar *[]);
650 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayRead(Mat, const PetscScalar *[]);
651 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWrite(Mat, PetscScalar *[]);
652 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWrite(Mat, PetscScalar *[]);
653 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayAndMemType(Mat, PetscScalar *[], PetscMemType *);
654 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayAndMemType(Mat, PetscScalar *[]);
655 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayReadAndMemType(Mat, const PetscScalar *[], PetscMemType *);
656 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayReadAndMemType(Mat, const PetscScalar *[]);
657 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWriteAndMemType(Mat, PetscScalar *[], PetscMemType *);
658 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWriteAndMemType(Mat, PetscScalar *[]);
659 PETSC_EXTERN PetscErrorCode    MatGetBlockSize(Mat, PetscInt *);
660 PETSC_EXTERN PetscErrorCode    MatSetBlockSize(Mat, PetscInt);
661 PETSC_EXTERN PetscErrorCode    MatGetBlockSizes(Mat, PetscInt *, PetscInt *);
662 PETSC_EXTERN PetscErrorCode    MatSetBlockSizes(Mat, PetscInt, PetscInt);
663 PETSC_EXTERN PetscErrorCode    MatSetBlockSizesFromMats(Mat, Mat, Mat);
664 PETSC_EXTERN PetscErrorCode    MatSetVariableBlockSizes(Mat, PetscInt, PetscInt *);
665 PETSC_EXTERN PetscErrorCode    MatGetVariableBlockSizes(Mat, PetscInt *, const PetscInt **);
666 
667 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat, PetscInt, PetscScalar *[]);
668 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat, PetscScalar *[]);
669 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat, PetscInt, Vec *);
670 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat, PetscInt, Vec *);
671 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat, PetscInt, Vec *);
672 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat, PetscInt, Vec *);
673 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat, PetscInt, Vec *);
674 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat, PetscInt, Vec *);
675 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
676 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat, Mat *);
677 
678 PETSC_EXTERN PetscErrorCode MatMult(Mat, Vec, Vec);
679 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat, Vec, Vec);
680 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat, Vec, Vec, Vec);
681 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat, Vec, Vec);
682 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat, Vec, Vec);
683 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat, Mat, PetscReal, PetscBool *);
684 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat, Mat, PetscReal, PetscBool *);
685 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat, Vec, Vec, Vec);
686 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat, Vec, Vec, Vec);
687 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat, Mat, Mat);
688 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat, Mat, Mat);
689 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat, Mat, Mat);
690 PETSC_EXTERN PetscErrorCode MatResidual(Mat, Vec, Vec, Vec);
691 
692 /*E
693     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
694   its numerical values copied over or just its nonzero structure.
695 
696     Values:
697 +   `MAT_DO_NOT_COPY_VALUES`    - Create a matrix using the same nonzero pattern as the original matrix,
698                                with zeros for the numerical values
699 .   `MAT_COPY_VALUES`           - Create a matrix with the same nonzero pattern as the original matrix
700                                and with the same numerical values.
701 -   `MAT_SHARE_NONZERO_PATTERN` - Create a matrix that shares the nonzero structure with the previous matrix
702                                and does not copy it, using zeros for the numerical values. The parent and
703                                child matrices will share their index (i and j) arrays, and you cannot
704                                insert new nonzero entries into either matrix
705 
706     Level: beginner
707 
708   Note:
709   Many matrix types (including `MATSEQAIJ`) do not support the `MAT_SHARE_NONZERO_PATTERN` optimization; in
710   this case the behavior is as if `MAT_DO_NOT_COPY_VALUES` has been specified.
711 
712 .seealso: [](ch_matrices), `Mat`, `MatDuplicate()`
713 E*/
714 typedef enum {
715   MAT_DO_NOT_COPY_VALUES,
716   MAT_COPY_VALUES,
717   MAT_SHARE_NONZERO_PATTERN
718 } MatDuplicateOption;
719 
720 PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
721 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);
722 
723 PETSC_EXTERN PetscErrorCode MatCopy(Mat, Mat, MatStructure);
724 PETSC_EXTERN PetscErrorCode MatView(Mat, PetscViewer);
725 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat, PetscReal, PetscBool *);
726 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat, PetscBool *);
727 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat, PetscReal, PetscBool *);
728 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat, PetscBool *, PetscBool *);
729 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat, PetscBool *, PetscBool *);
730 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat, PetscBool *, PetscBool *);
731 PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat, PetscBool *, PetscBool *);
732 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat, PetscBool *, PetscInt *);
733 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
734 
735 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
736 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
737 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
738 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
739 
740 /*S
741      MatInfo - Context of matrix information, used with `MatGetInfo()`
742 
743    Level: intermediate
744 
745    Fortran Note:
746    Information is stored as a double-precision array of dimension `MAT_INFO_SIZE`
747 
748 .seealso: [](ch_matrices), `Mat`, `MatGetInfo()`, `MatInfoType`
749 S*/
750 typedef struct {
751   PetscLogDouble block_size;                          /* block size */
752   PetscLogDouble nz_allocated, nz_used, nz_unneeded;  /* number of nonzeros */
753   PetscLogDouble memory;                              /* memory allocated */
754   PetscLogDouble assemblies;                          /* number of matrix assemblies called */
755   PetscLogDouble mallocs;                             /* number of mallocs during MatSetValues() */
756   PetscLogDouble fill_ratio_given, fill_ratio_needed; /* fill ratio for LU/ILU */
757   PetscLogDouble factor_mallocs;                      /* number of mallocs during factorization */
758 } MatInfo;
759 
760 /*E
761     MatInfoType - Indicates if you want information about the local part of the matrix,
762      the entire parallel matrix or the maximum over all the local parts.
763 
764     Values:
765 +   `MAT_LOCAL` - values for each MPI process part of the matrix
766 .   `MAT_GLOBAL_MAX` - maximum of each value over all MPI processes
767 -   `MAT_GLOBAL_SUM` - sum of each value over all MPI processes
768 
769     Level: beginner
770 
771 .seealso: [](ch_matrices), `MatGetInfo()`, `MatInfo`
772 E*/
773 typedef enum {
774   MAT_LOCAL      = 1,
775   MAT_GLOBAL_MAX = 2,
776   MAT_GLOBAL_SUM = 3
777 } MatInfoType;
778 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat, MatInfoType, MatInfo *);
779 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat, Vec);
780 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat, Vec, PetscInt[]);
781 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat, Vec, PetscInt[]);
782 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat, Vec, PetscInt[]);
783 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat, Vec, PetscInt[]);
784 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat, Vec);
785 PETSC_EXTERN PetscErrorCode MatTranspose(Mat, MatReuse, Mat *);
786 PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat, Mat *);
787 PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat, Mat);
788 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat, MatReuse, Mat *);
789 PETSC_EXTERN PetscErrorCode MatPermute(Mat, IS, IS, Mat *);
790 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat, Vec, Vec);
791 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat, Vec, InsertMode);
792 
793 PETSC_EXTERN PetscErrorCode MatEqual(Mat, Mat, PetscBool *);
794 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat, Mat, PetscInt, PetscBool *);
795 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat, Mat, PetscInt, PetscBool *);
796 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
797 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
798 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
799 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
800 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
801 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
802 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
803 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
804 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
805 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat, PetscInt, PetscBool *);
806 
807 PETSC_EXTERN PetscErrorCode MatNorm(Mat, NormType, PetscReal *);
808 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat, NormType, PetscReal *);
809 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat, PetscScalar *);
810 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat, PetscReal *);
811 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat, PetscReal *);
812 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat, PetscScalar *);
813 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat, PetscReal *);
814 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat, PetscReal *);
815 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat, PetscInt, PetscReal *);
816 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
817 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
818 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
819 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat, IS, PetscScalar, Vec, Vec);
820 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
821 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
822 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
823 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat, IS, PetscScalar, Vec, Vec);
824 
825 PETSC_EXTERN PetscErrorCode MatGetSize(Mat, PetscInt *, PetscInt *);
826 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat, PetscInt *, PetscInt *);
827 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat, PetscInt *, PetscInt *);
828 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat, const PetscInt **);
829 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat, PetscInt *, PetscInt *);
830 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat, const PetscInt **);
831 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat, IS *, IS *);
832 
833 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
834 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[])
835 {
836   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
837 }
838 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
839 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[])
840 {
841   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
842 }
843 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
844 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
845 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
846 PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatrix()", ) static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat)
847 {
848   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
849 }
850 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
851 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
852 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
853 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);
854 
855 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm, Mat, PetscInt, PetscInt, MatReuse, Mat *);
856 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm, Mat, PetscInt, PetscInt, Mat *);
857 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat, Mat);
858 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat, MatReuse, Mat *);
859 PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat, Mat *);
860 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
861 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat, MatReuse, IS *, Mat *);
862 PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat, PetscCount *);
863 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat, Mat, MatReuse, IS *, IS *, Mat *);
864 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *, const PetscInt *[]);
865 
866 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
867 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat, PetscInt n, IS is[], PetscInt ov);
868 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);
869 
870 PETSC_EXTERN PetscErrorCode MatMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
871 
872 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
873 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
874 
875 PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
876 PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);
877 
878 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
879 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);
880 
881 PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
882 PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);
883 
884 PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
885 PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);
886 
887 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping, ISLocalToGlobalMapping);
888 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
889 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat, PetscLayout *, PetscLayout *);
890 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat, PetscLayout, PetscLayout);
891 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
892 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
893 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
894 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
895 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
896 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
897 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
898 
899 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
900 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);
901 
902 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat, Vec, Vec);
903 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat, Vec, Vec, Vec);
904 PETSC_EXTERN PetscErrorCode MatRestrict(Mat, Vec, Vec);
905 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat, Mat, Mat *);
906 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat, Mat, Mat, Mat *);
907 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat, Mat, Mat *);
908 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat, Vec *, Vec *);
909 PETSC_DEPRECATED_FUNCTION(3, 6, 0, "MatCreateVecs()", ) static inline PetscErrorCode MatGetVecs(Mat mat, Vec *x, Vec *y)
910 {
911   return MatCreateVecs(mat, x, y);
912 }
913 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat, PetscInt, MPI_Comm, MatReuse, Mat *);
914 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat, MPI_Comm, MatReuse, Mat *);
915 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat, IS *);
916 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat, IS *);
917 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm, Mat, PetscInt, MatReuse, Mat *);
918 
919 /*@C
920    MatSetValue - Set a single entry into a matrix.
921 
922    This value may be cached, so `MatAssemblyBegin()` and `MatAssemblyEnd()`
923    MUST be called after all calls to `MatSetValue()` have been completed.
924 
925    Not Collective
926 
927    Input Parameters:
928 +  mat - the matrix
929 .  i - the row location of the entry
930 .  j - the column location of the entry
931 .  va - the value to insert
932 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
933 
934    Level: beginner
935 
936    Note:
937    For efficiency one should use `MatSetValues()` and set several values simultaneously.
938 
939 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd`, `InsertMode`, `MatGetValue()`, `MatSetValues()`,
940           `MatSetValueLocal()`, `MatSetValuesLocal()`
941 @*/
942 static inline PetscErrorCode MatSetValue(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
943 {
944   return MatSetValues(mat, 1, &i, 1, &j, &va, mode);
945 }
946 
947 /*@C
948    MatGetValue - Gets a single value from a matrix
949 
950    Not Collective; can only return a value owned by the given process
951 
952    Input Parameters:
953 +  mat - the matrix
954 .  row - the row location of the entry
955 -  col - the column location of the entry
956 
957    Output Parameter:
958 .  va - the value
959 
960    Level: advanced
961 
962    Notes:
963    The matrix must have been assembled with `MatAssemblyBegin()` and `MatAssemblyEnd` before this call
964 
965    For efficiency one should use `MatGetValues()` and get several values simultaneously.
966 
967    See notes for `MatGetValues()`.
968 
969 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd`, `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
970 @*/
971 static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
972 {
973   return MatGetValues(mat, 1, &row, 1, &col, va);
974 }
975 
976 /*@C
977    MatSetValueLocal - Inserts or adds a single value into a matrix, using a local numbering of the nodes.
978 
979    Not Collective
980 
981    Input Parameters:
982 +  mat - the matrix
983 .  i - the row location of the entry
984 .  j - the column location of the entry
985 .  va - the value to insert
986 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
987 
988    Level: intermediate
989 
990    Notes:
991    For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.
992 
993    See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.
994 
995 .seealso: [](ch_matrices), `MatSetValue()`, `MatSetValuesLocal()`
996 @*/
997 static inline PetscErrorCode MatSetValueLocal(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
998 {
999   return MatSetValuesLocal(mat, 1, &i, 1, &j, &va, mode);
1000 }
1001 
1002 /*MC
1003    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
1004        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1005 
1006    Synopsis:
1007    #include <petscmat.h>
1008    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
1009 
1010    Collective
1011 
1012    Input Parameters:
1013 +  comm - the communicator that will share the eventually allocated matrix
1014 .  nrows - the number of LOCAL rows in the matrix
1015 -  ncols - the number of LOCAL columns in the matrix
1016 
1017    Output Parameters:
1018 +  dnz - the array that will be passed to the matrix preallocation routines
1019 -  onz - the other array passed to the matrix preallocation routines
1020 
1021    Level: deprecated (since v3.19)
1022 
1023    Notes:
1024    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1025    the use of this routine
1026 
1027    This is a macro that handles its own error checking, it does not return an error code.
1028 
1029    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1030 
1031    Developer Note:
1032     This is a MACRO not a function because it has a leading { that is closed by `PetscPreallocateFinalize()`.
1033 
1034 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1035           `MatPreallocateSymmetricSetLocalBlock()`
1036 M*/
1037 #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
1038   do { \
1039     PetscInt              __nrows = (nrows), __ncols = (ncols), __rstart, __end = 0; \
1040     PetscInt PETSC_UNUSED __start; \
1041     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
1042     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
1043     __start = __end - __ncols; \
1044     (void)__start; \
1045     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
1046   __rstart -= __nrows
1047 
1048 #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateBegin()", ) MatPreallocateBegin(__VA_ARGS__)
1049 
1050 /*MC
1051    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1052        inserted using a local number of the rows and columns
1053 
1054    Synopsis:
1055    #include <petscmat.h>
1056    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1057 
1058    Not Collective
1059 
1060    Input Parameters:
1061 +  map - the row mapping from local numbering to global numbering
1062 .  nrows - the number of rows indicated
1063 .  rows - the indices of the rows
1064 .  cmap - the column mapping from local to global numbering
1065 .  ncols - the number of columns in the matrix
1066 .  cols - the columns indicated
1067 .  dnz - the array that will be passed to the matrix preallocation routines
1068 -  onz - the other array passed to the matrix preallocation routines
1069 
1070    Level: deprecated (since v3.19)
1071 
1072    Notes:
1073    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1074    the use of this routine
1075 
1076    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1077 
1078 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1079           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
1080 M*/
1081 #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1082   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));)
1083 
1084 /*MC
1085    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1086        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
1087 
1088    Synopsis:
1089    #include <petscmat.h>
1090    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1091 
1092    Not Collective
1093 
1094    Input Parameters:
1095 +  map - the row mapping from local numbering to global numbering
1096 .  nrows - the number of rows indicated
1097 .  rows - the indices of the rows (these values are mapped to the global values)
1098 .  cmap - the column mapping from local to global numbering
1099 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1100 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1101 .  dnz - the array that will be passed to the matrix preallocation routines
1102 -  onz - the other array passed to the matrix preallocation routines
1103 
1104    Level: deprecated (since v3.19)
1105 
1106    Notes:
1107    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1108    the use of this routine
1109 
1110    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1111 
1112 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1113           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1114 M*/
1115 #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1116   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));)
1117 
1118 /*MC
1119    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1120        inserted using a local number of the rows and columns
1121 
1122    Synopsis:
1123    #include <petscmat.h>
1124    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1125 
1126    Not Collective
1127 
1128    Input Parameters:
1129 +  map - the row mapping from local numbering to global numbering
1130 .  nrows - the number of rows indicated
1131 .  rows - the indices of the rows
1132 .  cmap - the column mapping from local to global numbering
1133 .  ncols - the number of columns in the matrix
1134 .  cols - the columns indicated
1135 .  dnz - the array that will be passed to the matrix preallocation routines
1136 -  onz - the other array passed to the matrix preallocation routines
1137 
1138    Level: deprecated (since v3.19)
1139 
1140    Notes:
1141    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1142    the use of this routine
1143 
1144    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1145 
1146 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1147           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1148 M*/
1149 #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1150   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));)
1151 
1152 /*MC
1153    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1154        inserted using a local number of the rows and columns
1155 
1156    Synopsis:
1157    #include <petscmat.h>
1158    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1159 
1160    Not Collective
1161 
1162    Input Parameters:
1163 +  map - the mapping between local numbering and global numbering
1164 .  nrows - the number of rows indicated
1165 .  rows - the indices of the rows
1166 .  ncols - the number of columns in the matrix
1167 .  cols - the columns indicated
1168 .  dnz - the array that will be passed to the matrix preallocation routines
1169 -  onz - the other array passed to the matrix preallocation routines
1170 
1171    Level: deprecated (since v3.19)
1172 
1173    Notes:
1174    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1175    the use of this routine
1176 
1177    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1178 
1179 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`
1180           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1181 M*/
1182 #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1183   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));)
1184 
1185 /*MC
1186    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1187        inserted using a local number of the rows and columns
1188 
1189    Synopsis:
1190    #include <petscmat.h>
1191    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1192 
1193    Not Collective
1194 
1195    Input Parameters:
1196 +  row - the row
1197 .  ncols - the number of columns in the matrix
1198 -  cols - the columns indicated
1199 
1200    Output Parameters:
1201 +  dnz - the array that will be passed to the matrix preallocation routines
1202 -  onz - the other array passed to the matrix preallocation routines
1203 
1204    Level: deprecated (since v3.19)
1205 
1206    Notes:
1207    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1208    the use of this routine
1209 
1210    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1211 
1212    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1213 
1214 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1215           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1216 M*/
1217 #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1218   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) { \
1219     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1220     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1221   })
1222 
1223 /*MC
1224    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1225        inserted using a local number of the rows and columns
1226 
1227    Synopsis:
1228    #include <petscmat.h>
1229    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1230 
1231    Not Collective
1232 
1233    Input Parameters:
1234 +  nrows - the number of rows indicated
1235 .  rows - the indices of the rows
1236 .  ncols - the number of columns in the matrix
1237 .  cols - the columns indicated
1238 .  dnz - the array that will be passed to the matrix preallocation routines
1239 -  onz - the other array passed to the matrix preallocation routines
1240 
1241    Level: deprecated (since v3.19)
1242 
1243    Notes:
1244    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1245    the use of this routine
1246 
1247    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1248 
1249    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1250 
1251 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1252           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1253 M*/
1254 #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1255   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
1256     if (cols[__i] >= __end) onz[row - __rstart]++; \
1257     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1258   })
1259 
1260 /*MC
1261    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1262 
1263    Synopsis:
1264    #include <petscmat.h>
1265    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1266 
1267    Not Collective
1268 
1269    Input Parameters:
1270 +  A - matrix
1271 .  row - row where values exist (must be local to this process)
1272 .  ncols - number of columns
1273 .  cols - columns with nonzeros
1274 .  dnz - the array that will be passed to the matrix preallocation routines
1275 -  onz - the other array passed to the matrix preallocation routines
1276 
1277    Level: deprecated (since v3.19)
1278 
1279    Notes:
1280    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1281    the use of this routine
1282 
1283    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1284 
1285   This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
1286 
1287 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1288           `MatPreallocateSymmetricSetLocalBlock()`
1289 M*/
1290 #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))
1291 
1292 /*MC
1293    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1294        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1295 
1296    Synopsis:
1297    #include <petscmat.h>
1298    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)
1299 
1300    Collective
1301 
1302    Input Parameters:
1303 +  dnz - the array that was be passed to the matrix preallocation routines
1304 -  onz - the other array passed to the matrix preallocation routines
1305 
1306    Level: deprecated (since v3.19)
1307 
1308    Notes:
1309    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1310    the use of this routine
1311 
1312    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1313 
1314    Developer Note:
1315     This is a MACRO not a function because it closes the { started in MatPreallocateBegin().
1316 
1317 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1318           `MatPreallocateSymmetricSetLocalBlock()`
1319 M*/
1320 #define MatPreallocateEnd(dnz, onz) \
1321   PetscCall(PetscFree2(dnz, onz)); \
1322   } \
1323   while (0)
1324 
1325 #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateEnd()", ) MatPreallocateEnd(__VA_ARGS__)
1326 
1327 /* Routines unique to particular data structures */
1328 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, void *);
1329 
1330 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1331 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);
1332 
1333 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1334 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1335 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1336 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1337 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1338 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscInt, PetscBool);
1339 
1340 #define MAT_SKIP_ALLOCATION -4
1341 
1342 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1343 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1344 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1345 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);
1346 
1347 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1348 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1349 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1350 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1351 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1352 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1353 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1354 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1355 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1356 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1357 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1358 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1359 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1360 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1361 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);
1362 
1363 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1364 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1365 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatDenseSetLDA()", ) static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
1366 {
1367   return MatDenseSetLDA(A, lda);
1368 }
1369 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);
1370 
1371 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1372 
1373 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1374 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1375 
1376 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1377 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1378 /*
1379   These routines are not usually accessed directly, rather solving is
1380   done through the KSP and PC interfaces.
1381 */
1382 
1383 /*J
1384     MatOrderingType - String with the name of a PETSc matrix ordering. These orderings are most commonly used
1385     to reduce fill in sparse factorizations.
1386 
1387    Level: beginner
1388 
1389    Notes:
1390    If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and instead the external factorization solver package called utilizes one
1391    of its own.
1392 
1393    There is no `MatOrdering` object, the ordering is obtained directly from the matrix with `MatGetOrdering()`
1394 
1395    Developer Note:
1396    This API should be converted to an API similar to those for `MatColoring` and `MatPartitioning`
1397 
1398 .seealso: [](ch_matrices), [](sec_graph), `MatGetFactor()`, `MatGetOrdering()`, `MatColoringType`, `MatPartitioningType`, `MatCoarsenType`, `MatCoarsenType`,
1399           `PCFactorSetOrderingType()`
1400 J*/
1401 typedef const char *MatOrderingType;
1402 #define MATORDERINGNATURAL       "natural"
1403 #define MATORDERINGND            "nd"
1404 #define MATORDERING1WD           "1wd"
1405 #define MATORDERINGRCM           "rcm"
1406 #define MATORDERINGQMD           "qmd"
1407 #define MATORDERINGROWLENGTH     "rowlength"
1408 #define MATORDERINGWBM           "wbm"
1409 #define MATORDERINGSPECTRAL      "spectral"
1410 #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1411 #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1412 #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 */
1413 #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */
1414 
1415 PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1416 PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1417 PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1418 PETSC_EXTERN PetscFunctionList MatOrderingList;
1419 
1420 #include "petscmatcoarsen.h"
1421 
1422 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1423 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);
1424 
1425 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);
1426 
1427 /*S
1428     MatFactorShiftType - Type of numeric shift used for factorizations
1429 
1430    Values:
1431 +  `MAT_SHIFT_NONE` - do not shift the matrix diagonal entries
1432 .  `MAT_SHIFT_NONZERO` - shift the entries to be non-zero
1433 .  `MAT_SHIFT_POSITIVE_DEFINITE` - shift the entries to force the factorization to be positive definite
1434 -  `MAT_SHIFT_INBLOCKS` - only shift the factors inside the small dense diagonal blocks of the matrix, for example with `MATBAIJ`
1435 
1436    Level: intermediate
1437 
1438 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `PCFactorSetShiftType()`
1439 S*/
1440 typedef enum {
1441   MAT_SHIFT_NONE,
1442   MAT_SHIFT_NONZERO,
1443   MAT_SHIFT_POSITIVE_DEFINITE,
1444   MAT_SHIFT_INBLOCKS
1445 } MatFactorShiftType;
1446 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1447 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1448 
1449 /*S
1450     MatFactorError - indicates what type of error was generated in a matrix factorization
1451 
1452     Values:
1453 +   `MAT_FACTOR_NOERROR` - there was no error during the factorization
1454 .   `MAT_FACTOR_STRUCT_ZEROPIVOT` - there was a missing entry in a diagonal location of the matrix
1455 .   `MAT_FACTOR_NUMERIC_ZEROPIVOT` - there was a (near) zero pivot during the factorization
1456 .   `MAT_FACTOR_OUTMEMORY` - the factorization has run out of memory
1457 -   `MAT_FACTOR_OTHER` - some other error has occurred.
1458 
1459     Level: intermediate
1460 
1461     Note:
1462     When a factorization is done in a preconditioner `PC` the error may be propagated up to a `PCFailedReason` or a `KSPConvergedReason`
1463 
1464 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `MatFactorGetError()`, `MatFactorGetErrorZeroPivot()`, `MatFactorClearError()`,
1465           `PCFailedReason`, `PCGetFailedReason()`, `KSPConvergedReason`
1466 S*/
1467 typedef enum {
1468   MAT_FACTOR_NOERROR,
1469   MAT_FACTOR_STRUCT_ZEROPIVOT,
1470   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1471   MAT_FACTOR_OUTMEMORY,
1472   MAT_FACTOR_OTHER
1473 } MatFactorError;
1474 
1475 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1476 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1477 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);
1478 
1479 /*S
1480    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1481 
1482    Level: developer
1483 
1484    Note:
1485    You can use `MatFactorInfoInitialize()` to set default values.
1486 
1487    Fortran Note:
1488    The data is available in a double precision arrays of size `MAT_FACTORINFO_SIZE`
1489 
1490 .seealso: [](ch_matrices), `Mat`, `MatInfo`, `MatGetFactor()`, `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`,
1491           `MatICCFactorSymbolic()`, `MatICCFactor()`, `MatFactorInfoInitialize()`
1492 S*/
1493 typedef struct {
1494   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1495   PetscReal usedt;
1496   PetscReal dt;            /* drop tolerance */
1497   PetscReal dtcol;         /* tolerance for pivoting */
1498   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1499   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1500   PetscReal levels;        /* ICC/ILU(levels) */
1501   PetscReal pivotinblocks; /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1502                                    factorization may be faster if do not pivot */
1503   PetscReal zeropivot;     /* pivot is called zero if less than this */
1504   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1505   PetscReal shiftamount;   /* how large the shift is */
1506 } MatFactorInfo;
1507 
1508 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1509 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1510 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1511 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1512 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1513 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1514 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1515 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1516 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1517 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1518 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1519 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1520 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1521 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1522 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1523 PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1524 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1525 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1526 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1527 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1528 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1529 PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1530 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1531 
1532 typedef enum {
1533   MAT_FACTOR_SCHUR_UNFACTORED,
1534   MAT_FACTOR_SCHUR_FACTORED,
1535   MAT_FACTOR_SCHUR_INVERTED
1536 } MatFactorSchurStatus;
1537 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1538 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1539 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1540 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1541 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1542 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1543 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1544 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1545 
1546 PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1547 /*E
1548     MatSORType - What type of (S)SOR to perform
1549 
1550    Values:
1551 +  `SOR_FORWARD_SWEEP` - do a sweep from the first row of the matrix to the last
1552 .  `SOR_BACKWARD_SWEEP` -  do a sweep from the last row to the first
1553 .  `SOR_SYMMETRIC_SWEEP` - do a sweep from the first row to the last and then back to the first
1554 .  `SOR_LOCAL_FORWARD_SWEEP` - each MPI rank does its own forward sweep with no communication
1555 .  `SOR_LOCAL_BACKWARD_SWEEP` - each MPI rank does its own backward sweep with no communication
1556 .  `SOR_LOCAL_SYMMETRIC_SWEEP` - each MPI rank does its own symmetric sweep with no communication
1557 .  `SOR_ZERO_INITIAL_GUESS` - indicates the initial solution is zero so the sweep can avoid unneeded computation
1558 .  `SOR_EISENSTAT` - apply the Eisentat application of SOR, see `PCEISENSTAT`
1559 .  `SOR_APPLY_UPPER` - multiply by the upper triangular portion of the matrix
1560 -  `SOR_APPLY_LOWER` - multiply by the lower triangular portion of the matrix
1561 
1562     Level: beginner
1563 
1564    Note:
1565    These may be bitwise ORd together
1566 
1567    Developer Note:
1568    Since `MatSORType` may be bitwise ORd together, so do not change the numerical values below
1569 
1570 .seealso: [](ch_matrices), `MatSOR()`
1571 E*/
1572 typedef enum {
1573   SOR_FORWARD_SWEEP         = 1,
1574   SOR_BACKWARD_SWEEP        = 2,
1575   SOR_SYMMETRIC_SWEEP       = 3,
1576   SOR_LOCAL_FORWARD_SWEEP   = 4,
1577   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1578   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1579   SOR_ZERO_INITIAL_GUESS    = 16,
1580   SOR_EISENSTAT             = 32,
1581   SOR_APPLY_UPPER           = 64,
1582   SOR_APPLY_LOWER           = 128
1583 } MatSORType;
1584 PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);
1585 
1586 /*S
1587      MatColoring - Object for managing the coloring of matrices.
1588 
1589    Level: beginner
1590 
1591    Notes:
1592    Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1593    matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).
1594 
1595    Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1596    same object can also be used to efficiently convert data created by Automatic Differentiation tools to PETSc sparse matrices.
1597 
1598 .seealso: [](ch_matrices), [](sec_graph), `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`,
1599           `MatPartitioning`, `MatColoringType`, `MatPartitioningType`, `MatOrderingType`, `MatColoringSetWeightType()`,
1600           `MatColoringSetWeights()`, `MatCoarsenType`, `MatCoarsen`
1601 S*/
1602 typedef struct _p_MatColoring *MatColoring;
1603 
1604 /*J
1605     MatColoringType - String with the name of a PETSc matrix coloring
1606 
1607    Level: beginner
1608 
1609 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatFDColoringCreate()`, `MatColoringSetType()`, `MatColoring`
1610 J*/
1611 typedef const char *MatColoringType;
1612 #define MATCOLORINGJP      "jp"
1613 #define MATCOLORINGPOWER   "power"
1614 #define MATCOLORINGNATURAL "natural"
1615 #define MATCOLORINGSL      "sl"
1616 #define MATCOLORINGLF      "lf"
1617 #define MATCOLORINGID      "id"
1618 #define MATCOLORINGGREEDY  "greedy"
1619 
1620 /*E
1621    MatColoringWeightType - Type of weight scheme used for the coloring algorithm
1622 
1623     Values:
1624 +   `MAT_COLORING_RANDOM`  - Random weights
1625 .   `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1626 -   `MAT_COLORING_LF`      - Last-first weighting.
1627 
1628     Level: intermediate
1629 
1630 .seealso: [](ch_matrices), `MatColoring`, `MatColoringCreate()`, `MatColoringSetWeightType()`, `MatColoringSetWeights()`
1631 E*/
1632 typedef enum {
1633   MAT_COLORING_WEIGHT_RANDOM,
1634   MAT_COLORING_WEIGHT_LEXICAL,
1635   MAT_COLORING_WEIGHT_LF,
1636   MAT_COLORING_WEIGHT_SL
1637 } MatColoringWeightType;
1638 
1639 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1640 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1641 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1642 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1643 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1644 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1645 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1646 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1647 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1648 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1649 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1650 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1651 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1652 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1653 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1654 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1655 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1656 PETSC_DEPRECATED_FUNCTION(3, 10, 0, "MatColoringTest()", ) static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
1657 {
1658   return MatColoringTest(matcoloring, iscoloring);
1659 }
1660 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);
1661 
1662 /*S
1663      MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring
1664 
1665    Level: beginner
1666 
1667    Notes:
1668    This object is creating utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`
1669 
1670    The `SNES` option `-snes_fd_coloring` will cause the Jacobian needed by `SNES` to be computed via a use of this object
1671 
1672 .seealso: [](ch_matrices), `Mat`, `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1673 S*/
1674 typedef struct _p_MatFDColoring *MatFDColoring;
1675 
1676 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1677 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1678 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1679 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, PetscErrorCode (*)(void), void *);
1680 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, PetscErrorCode (**)(void), void **);
1681 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1682 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1683 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1684 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1685 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1686 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1687 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1688 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);
1689 
1690 /*S
1691      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1692 
1693    Level: developer
1694 
1695 .seealso: [](ch_matrices), `Mat`, `MatProductType`, `MatTransposeColoringCreate()`
1696 S*/
1697 typedef struct _p_MatTransposeColoring *MatTransposeColoring;
1698 
1699 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1700 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1701 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1702 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);
1703 
1704 /*S
1705      MatPartitioning - Object for managing the partitioning of a matrix or graph
1706 
1707    Level: beginner
1708 
1709    Note:
1710      There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1711      via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)
1712 
1713    Developers Note:
1714      It is an extra maintenance and documentation cost to have two objects with the same functionality. `PetscPartitioner` should be removed
1715 
1716 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`, `MatOrderingType`,
1717           `MatCoarsenType`, `MatCoarsenType`
1718 S*/
1719 typedef struct _p_MatPartitioning *MatPartitioning;
1720 
1721 /*J
1722     MatPartitioningType - String with the name of a PETSc matrix partitioning
1723 
1724    Level: beginner
1725 dm
1726 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`, `MatColoringType`, `MatOrderingType`,
1727           `MatCoarsenType`, `MatCoarsenType`
1728 J*/
1729 typedef const char *MatPartitioningType;
1730 #define MATPARTITIONINGCURRENT  "current"
1731 #define MATPARTITIONINGAVERAGE  "average"
1732 #define MATPARTITIONINGSQUARE   "square"
1733 #define MATPARTITIONINGPARMETIS "parmetis"
1734 #define MATPARTITIONINGCHACO    "chaco"
1735 #define MATPARTITIONINGPARTY    "party"
1736 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1737 #define MATPARTITIONINGHIERARCH "hierarch"
1738 
1739 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1740 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1741 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1742 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1743 PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1744 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1745 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1746 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1747 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1748 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1749 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1750 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1751 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1752 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1753 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1754 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1755 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1756 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1757 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);
1758 
1759 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1760 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1761 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1762 
1763 typedef enum {
1764   MP_CHACO_MULTILEVEL = 1,
1765   MP_CHACO_SPECTRAL   = 2,
1766   MP_CHACO_LINEAR     = 4,
1767   MP_CHACO_RANDOM     = 5,
1768   MP_CHACO_SCATTERED  = 6
1769 } MPChacoGlobalType;
1770 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1771 typedef enum {
1772   MP_CHACO_KERNIGHAN = 1,
1773   MP_CHACO_NONE      = 2
1774 } MPChacoLocalType;
1775 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1776 typedef enum {
1777   MP_CHACO_LANCZOS = 0,
1778   MP_CHACO_RQI     = 1
1779 } MPChacoEigenType;
1780 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1781 
1782 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1783 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1784 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1785 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1786 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1787 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1788 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1789 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1790 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1791 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1792 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);
1793 
1794 #define MP_PARTY_OPT "opt"
1795 #define MP_PARTY_LIN "lin"
1796 #define MP_PARTY_SCA "sca"
1797 #define MP_PARTY_RAN "ran"
1798 #define MP_PARTY_GBF "gbf"
1799 #define MP_PARTY_GCF "gcf"
1800 #define MP_PARTY_BUB "bub"
1801 #define MP_PARTY_DEF "def"
1802 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1803 #define MP_PARTY_HELPFUL_SETS  "hs"
1804 #define MP_PARTY_KERNIGHAN_LIN "kl"
1805 #define MP_PARTY_NONE          "no"
1806 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1807 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1808 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1809 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);
1810 
1811 typedef enum {
1812   MP_PTSCOTCH_DEFAULT,
1813   MP_PTSCOTCH_QUALITY,
1814   MP_PTSCOTCH_SPEED,
1815   MP_PTSCOTCH_BALANCE,
1816   MP_PTSCOTCH_SAFETY,
1817   MP_PTSCOTCH_SCALABILITY
1818 } MPPTScotchStrategyType;
1819 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1820 
1821 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1822 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1823 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1824 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);
1825 
1826 /*
1827  * hierarchical partitioning
1828  */
1829 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1830 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1831 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1832 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1833 
1834 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);
1835 
1836 /*
1837     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1838     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1839 */
1840 typedef enum {
1841   MATOP_SET_VALUES               = 0,
1842   MATOP_GET_ROW                  = 1,
1843   MATOP_RESTORE_ROW              = 2,
1844   MATOP_MULT                     = 3,
1845   MATOP_MULT_ADD                 = 4,
1846   MATOP_MULT_TRANSPOSE           = 5,
1847   MATOP_MULT_TRANSPOSE_ADD       = 6,
1848   MATOP_SOLVE                    = 7,
1849   MATOP_SOLVE_ADD                = 8,
1850   MATOP_SOLVE_TRANSPOSE          = 9,
1851   MATOP_SOLVE_TRANSPOSE_ADD      = 10,
1852   MATOP_LUFACTOR                 = 11,
1853   MATOP_CHOLESKYFACTOR           = 12,
1854   MATOP_SOR                      = 13,
1855   MATOP_TRANSPOSE                = 14,
1856   MATOP_GETINFO                  = 15,
1857   MATOP_EQUAL                    = 16,
1858   MATOP_GET_DIAGONAL             = 17,
1859   MATOP_DIAGONAL_SCALE           = 18,
1860   MATOP_NORM                     = 19,
1861   MATOP_ASSEMBLY_BEGIN           = 20,
1862   MATOP_ASSEMBLY_END             = 21,
1863   MATOP_SET_OPTION               = 22,
1864   MATOP_ZERO_ENTRIES             = 23,
1865   MATOP_ZERO_ROWS                = 24,
1866   MATOP_LUFACTOR_SYMBOLIC        = 25,
1867   MATOP_LUFACTOR_NUMERIC         = 26,
1868   MATOP_CHOLESKY_FACTOR_SYMBOLIC = 27,
1869   MATOP_CHOLESKY_FACTOR_NUMERIC  = 28,
1870   MATOP_SETUP                    = 29,
1871   MATOP_ILUFACTOR_SYMBOLIC       = 30,
1872   MATOP_ICCFACTOR_SYMBOLIC       = 31,
1873   MATOP_GET_DIAGONAL_BLOCK       = 32,
1874   MATOP_SET_INF                  = 33,
1875   MATOP_DUPLICATE                = 34,
1876   MATOP_FORWARD_SOLVE            = 35,
1877   MATOP_BACKWARD_SOLVE           = 36,
1878   MATOP_ILUFACTOR                = 37,
1879   MATOP_ICCFACTOR                = 38,
1880   MATOP_AXPY                     = 39,
1881   MATOP_CREATE_SUBMATRICES       = 40,
1882   MATOP_INCREASE_OVERLAP         = 41,
1883   MATOP_GET_VALUES               = 42,
1884   MATOP_COPY                     = 43,
1885   MATOP_GET_ROW_MAX              = 44,
1886   MATOP_SCALE                    = 45,
1887   MATOP_SHIFT                    = 46,
1888   MATOP_DIAGONAL_SET             = 47,
1889   MATOP_ZERO_ROWS_COLUMNS        = 48,
1890   MATOP_SET_RANDOM               = 49,
1891   MATOP_GET_ROW_IJ               = 50,
1892   MATOP_RESTORE_ROW_IJ           = 51,
1893   MATOP_GET_COLUMN_IJ            = 52,
1894   MATOP_RESTORE_COLUMN_IJ        = 53,
1895   MATOP_FDCOLORING_CREATE        = 54,
1896   MATOP_COLORING_PATCH           = 55,
1897   MATOP_SET_UNFACTORED           = 56,
1898   MATOP_PERMUTE                  = 57,
1899   MATOP_SET_VALUES_BLOCKED       = 58,
1900   MATOP_CREATE_SUBMATRIX         = 59,
1901   MATOP_DESTROY                  = 60,
1902   MATOP_VIEW                     = 61,
1903   MATOP_CONVERT_FROM             = 62,
1904   /* MATOP_PLACEHOLDER_63=63 */
1905   MATOP_MATMAT_MULT_SYMBOLIC    = 64,
1906   MATOP_MATMAT_MULT_NUMERIC     = 65,
1907   MATOP_SET_LOCAL_TO_GLOBAL_MAP = 66,
1908   MATOP_SET_VALUES_LOCAL        = 67,
1909   MATOP_ZERO_ROWS_LOCAL         = 68,
1910   MATOP_GET_ROW_MAX_ABS         = 69,
1911   MATOP_GET_ROW_MIN_ABS         = 70,
1912   MATOP_CONVERT                 = 71,
1913   MATOP_HAS_OPERATION           = 72,
1914   /* MATOP_PLACEHOLDER_73=73, */
1915   MATOP_SET_VALUES_ADIFOR = 74,
1916   MATOP_FD_COLORING_APPLY = 75,
1917   MATOP_SET_FROM_OPTIONS  = 76,
1918   /* MATOP_PLACEHOLDER_77=77, */
1919   /* MATOP_PLACEHOLDER_78=78, */
1920   MATOP_FIND_ZERO_DIAGONALS       = 79,
1921   MATOP_MULT_MULTIPLE             = 80,
1922   MATOP_SOLVE_MULTIPLE            = 81,
1923   MATOP_GET_INERTIA               = 82,
1924   MATOP_LOAD                      = 83,
1925   MATOP_IS_SYMMETRIC              = 84,
1926   MATOP_IS_HERMITIAN              = 85,
1927   MATOP_IS_STRUCTURALLY_SYMMETRIC = 86,
1928   MATOP_SET_VALUES_BLOCKEDLOCAL   = 87,
1929   MATOP_CREATE_VECS               = 88,
1930   /* MATOP_PLACEHOLDER_89=89, */
1931   MATOP_MAT_MULT_SYMBOLIC = 90,
1932   MATOP_MAT_MULT_NUMERIC  = 91,
1933   /* MATOP_PLACEHOLDER_92=92, */
1934   MATOP_PTAP_SYMBOLIC = 93,
1935   MATOP_PTAP_NUMERIC  = 94,
1936   /* MATOP_PLACEHOLDER_95=95, */
1937   MATOP_MAT_TRANSPOSE_MULT_SYMBO = 96,
1938   MATOP_MAT_TRANSPOSE_MULT_NUMER = 97,
1939   MATOP_BIND_TO_CPU              = 98,
1940   MATOP_PRODUCTSETFROMOPTIONS    = 99,
1941   MATOP_PRODUCTSYMBOLIC          = 100,
1942   MATOP_PRODUCTNUMERIC           = 101,
1943   MATOP_CONJUGATE                = 102,
1944   MATOP_VIEW_NATIVE              = 103,
1945   MATOP_SET_VALUES_ROW           = 104,
1946   MATOP_REAL_PART                = 105,
1947   MATOP_IMAGINARY_PART           = 106,
1948   MATOP_GET_ROW_UPPER_TRIANGULAR = 107,
1949   MATOP_RESTORE_ROW_UPPER_TRIANG = 108,
1950   MATOP_MAT_SOLVE                = 109,
1951   MATOP_MAT_SOLVE_TRANSPOSE      = 110,
1952   MATOP_GET_ROW_MIN              = 111,
1953   MATOP_GET_COLUMN_VECTOR        = 112,
1954   MATOP_MISSING_DIAGONAL         = 113,
1955   MATOP_GET_SEQ_NONZERO_STRUCTUR = 114,
1956   MATOP_CREATE                   = 115,
1957   MATOP_GET_GHOSTS               = 116,
1958   MATOP_GET_LOCAL_SUB_MATRIX     = 117,
1959   MATOP_RESTORE_LOCALSUB_MATRIX  = 118,
1960   MATOP_MULT_DIAGONAL_BLOCK      = 119,
1961   MATOP_HERMITIAN_TRANSPOSE      = 120,
1962   MATOP_MULT_HERMITIAN_TRANSPOSE = 121,
1963   MATOP_MULT_HERMITIAN_TRANS_ADD = 122,
1964   MATOP_GET_MULTI_PROC_BLOCK     = 123,
1965   MATOP_FIND_NONZERO_ROWS        = 124,
1966   MATOP_GET_COLUMN_NORMS         = 125,
1967   MATOP_INVERT_BLOCK_DIAGONAL    = 126,
1968   MATOP_INVERT_VBLOCK_DIAGONAL   = 127,
1969   MATOP_CREATE_SUB_MATRICES_MPI  = 128,
1970   MATOP_SET_VALUES_BATCH         = 129,
1971   /* MATOP_PLACEHOLDER_130=130, */
1972   MATOP_TRANSPOSE_MAT_MULT_SYMBO = 131,
1973   MATOP_TRANSPOSE_MAT_MULT_NUMER = 132,
1974   MATOP_TRANSPOSE_COLORING_CREAT = 133,
1975   MATOP_TRANS_COLORING_APPLY_SPT = 134,
1976   MATOP_TRANS_COLORING_APPLY_DEN = 135,
1977   /* MATOP_PLACEHOLDER_136=136, */
1978   MATOP_RART_SYMBOLIC         = 137,
1979   MATOP_RART_NUMERIC          = 138,
1980   MATOP_SET_BLOCK_SIZES       = 139,
1981   MATOP_AYPX                  = 140,
1982   MATOP_RESIDUAL              = 141,
1983   MATOP_FDCOLORING_SETUP      = 142,
1984   MATOP_FIND_OFFBLOCK_ENTRIES = 143,
1985   MATOP_MPICONCATENATESEQ     = 144,
1986   MATOP_DESTROYSUBMATRICES    = 145,
1987   MATOP_TRANSPOSE_SOLVE       = 146,
1988   MATOP_GET_VALUES_LOCAL      = 147
1989 } MatOperation;
1990 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, void (*)(void));
1991 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, void (**)(void));
1992 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
1993 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
1994 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatProductClear()", ) static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
1995 {
1996   return MatProductClear(A);
1997 }
1998 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, void (*)(void));
1999 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, void (**)(void));
2000 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, void *);
2001 PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscErrorCode (*)(void *));
2002 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
2003 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2004 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2005 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
2006 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscErrorCode (*)(void *), MatType, MatType);
2007 PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);
2008 
2009 /*
2010    Codes for matrices stored on disk. By default they are
2011    stored in a universal format. By changing the format with
2012    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
2013    be stored in a way natural for the matrix, for example dense matrices
2014    would be stored as dense. Matrices stored this way may only be
2015    read into matrices of the same type.
2016 */
2017 #define MATRIX_BINARY_FORMAT_DENSE -1
2018 
2019 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);
2020 
2021 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
2022 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
2023 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
2024 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
2025 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
2026 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
2027 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
2028 PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
2029 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION(3, 10, 0, "MatConvert()", ) PetscErrorCode MatISGetMPIXAIJ(Mat, MatReuse, Mat *);
2030 
2031 /*S
2032      MatNullSpace - Object that removes a null space from a vector, i.e.
2033          orthogonalizes the vector to a subspace
2034 
2035    Level: advanced
2036 
2037 .seealso: [](ch_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2038 S*/
2039 typedef struct _p_MatNullSpace *MatNullSpace;
2040 
2041 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
2042 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, PetscErrorCode (*)(MatNullSpace, Vec, void *), void *);
2043 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
2044 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
2045 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
2046 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
2047 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
2048 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
2049 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
2050 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
2051 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
2052 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
2053 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
2054 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);
2055 
2056 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
2057 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
2058 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);
2059 
2060 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
2061 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
2062 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);
2063 
2064 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
2065 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);
2066 
2067 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperator()", ) static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
2068 {
2069   return MatComputeOperator(A, PETSC_NULLPTR, B);
2070 }
2071 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperatorTranspose()", ) static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
2072 {
2073   return MatComputeOperatorTranspose(A, PETSC_NULLPTR, B);
2074 }
2075 
2076 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
2077 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
2078 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
2079 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2080 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
2081 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
2082 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
2083 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2084 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
2085 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
2086 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
2087 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
2088 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
2089 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);
2090 
2091 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);
2092 
2093 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2094 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
2095 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, PetscErrorCode (*)(void *, Vec, Vec), void *);
2096 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, PetscErrorCode (*)(void *, PetscInt, Vec, PetscScalar *));
2097 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, PetscErrorCode (*)(void *, Vec));
2098 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
2099 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
2100 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
2101 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
2102 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
2103 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
2104 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
2105 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, PetscErrorCode (*)(void *, Vec, Vec, PetscScalar *), void *);
2106 
2107 /*S
2108     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2109               Jacobian vector products
2110 
2111     Level: developer
2112 
2113     Notes:
2114     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure
2115 
2116      MatMFFD*() methods actually take the `Mat` as their first argument. Not a `MatMFFD` data structure
2117 
2118     This functionality is often obtained using `MatCreateSNESMF()` or with `SNES` solvers using `-snes_mf` or `-snes_mf_operator`
2119 
2120 .seealso: [](ch_matrices), `MatMFFDType`, `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`,
2121           `MatCreateSNESMF()`, `SNES`, `-snes_mf`, `-snes_mf_operator`
2122 S*/
2123 typedef struct _p_MatMFFD *MatMFFD;
2124 
2125 /*J
2126     MatMFFDType - algorithm used to compute the `h` used in computing matrix-vector products via differencing of a function
2127 
2128    Values:
2129 +   `MATMFFD_DS` - an algorithm described by Dennis and Schnabel
2130 -   `MATMFFD_WP` - the Walker-Pernice strategy.
2131 
2132    Level: beginner
2133 
2134 .seealso: [](ch_matrices), `MatMFFDSetType()`, `MatMFFDRegister()`, `MatMFFDSetFunction()`, `MatCreateMFFD()`
2135 J*/
2136 typedef const char *MatMFFDType;
2137 #define MATMFFD_DS "ds"
2138 #define MATMFFD_WP "wp"
2139 
2140 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2141 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));
2142 
2143 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2144 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);
2145 
2146 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);
2147 
2148 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2149 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
2150 
2151 #ifdef PETSC_HAVE_H2OPUS
2152 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatH2OpusKernel)(PetscInt, PetscReal[], PetscReal[], void *);
2153 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernel, void *, PetscReal, PetscInt, PetscInt, Mat *);
2154 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2155 PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2156 PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
2157 PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat, PetscReal);
2158 PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat, PetscBool);
2159 PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat, PetscBool *);
2160 PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat, IS *);
2161 PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2162 PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2163 #endif
2164 
2165 #ifdef PETSC_HAVE_HTOOL
2166 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatHtoolKernel)(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2167 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernel, void *, Mat *);
2168 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat, MatHtoolKernel, void *);
2169 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat, IS *);
2170 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat, IS *);
2171 PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat, PetscBool);
2172 
2173 /*E
2174      MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`
2175 
2176     Values:
2177 +   `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2178 .   `MAT_HTOOL_COMPRESSOR_FULL_ACA` - full adaptive cross approximation
2179 -   `MAT_HTOOL_COMPRESSOR_SVD` - singular value decomposition
2180 
2181    Level: intermediate
2182 
2183 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2184 E*/
2185 typedef enum {
2186   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2187   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2188   MAT_HTOOL_COMPRESSOR_SVD
2189 } MatHtoolCompressorType;
2190 
2191 /*E
2192      MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`
2193 
2194     Values:
2195 +   `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default) - axis computed via principle component analysis, split uniformly
2196 .   `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC` - axis computed via principle component analysis, split barycentrically
2197 .   `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR` - axis along the largest extent of the bounding box, split uniformly
2198 -   `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically
2199 
2200    Level: intermediate
2201 
2202     Note:
2203     Higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
2204 
2205 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2206 E*/
2207 typedef enum {
2208   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2209   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2210   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2211   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2212 } MatHtoolClusteringType;
2213 #endif
2214 
2215 #ifdef PETSC_HAVE_MUMPS
2216 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2217 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2218 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2219 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);
2220 
2221 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2222 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2223 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2224 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2225 PETSC_EXTERN PetscErrorCode MatMumpsGetNullPivots(Mat, PetscInt *, PetscInt **);
2226 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2227 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2228 #endif
2229 
2230 #ifdef PETSC_HAVE_MKL_PARDISO
2231 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2232 #endif
2233 
2234 #ifdef PETSC_HAVE_MKL_CPARDISO
2235 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2236 #endif
2237 
2238 #ifdef PETSC_HAVE_SUPERLU
2239 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2240 #endif
2241 
2242 #ifdef PETSC_HAVE_SUPERLU_DIST
2243 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2244 #endif
2245 
2246 #ifdef PETSC_HAVE_STRUMPACK
2247 /*E
2248     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `MATSOLVERSTRUMPACK``
2249 
2250     Values:
2251 +  `MAT_STRUMPACK_NATURAL` - use the current ordering
2252 .  `MAT_STRUMPACK_METIS` - use MeTis to compute an ordering
2253 .  `MAT_STRUMPACK_PARMETIS` - use ParMeTis to compute an ordering
2254 .  `MAT_STRUMPACK_SCOTCH` - use Scotch to compute an ordering
2255 .  `MAT_STRUMPACK_PTSCOTCH` - use parallel Scotch to compute an ordering
2256 -  `MAT_STRUMPACK_RCM` - use an RCM ordering
2257 
2258     Level: intermediate
2259 
2260     Developer Note:
2261     Should be called `MatSTRUMPACKReorderingType`
2262 
2263 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetHSSRelTol()`, `MatSTRUMPACKSetReordering()`
2264 E*/
2265 typedef enum {
2266   MAT_STRUMPACK_NATURAL  = 0,
2267   MAT_STRUMPACK_METIS    = 1,
2268   MAT_STRUMPACK_PARMETIS = 2,
2269   MAT_STRUMPACK_SCOTCH   = 3,
2270   MAT_STRUMPACK_PTSCOTCH = 4,
2271   MAT_STRUMPACK_RCM      = 5
2272 } MatSTRUMPACKReordering;
2273 
2274 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2275 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2276 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat, PetscReal);
2277 PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSTRUMPACKSetHSSRelTol()", ) static inline PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat, PetscReal rtol)
2278 {
2279   return MatSTRUMPACKSetHSSRelTol(mat, rtol);
2280 }
2281 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat, PetscReal);
2282 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat, PetscInt);
2283 PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSTRUMPACKSetHSSMinSepSize()", ) static inline PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat, PetscInt hssminsize)
2284 {
2285   return MatSTRUMPACKSetHSSMinSepSize(mat, hssminsize);
2286 }
2287 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat, PetscInt);
2288 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat, PetscInt);
2289 #endif
2290 
2291 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2292 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2293 PETSC_DEPRECATED_FUNCTION(3, 13, 0, "MatBindToCPU()", ) static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2294 {
2295   return MatBindToCPU(A, flg);
2296 }
2297 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2298 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);
2299 
2300 #ifdef PETSC_HAVE_CUDA
2301 /*E
2302     MatCUSPARSEStorageFormat - indicates the storage format for `MATAIJCUSPARSE` (GPU)
2303     matrices.
2304 
2305     Values:
2306 +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2307 .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2308 -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2309 
2310     Level: intermediate
2311 
2312 .seealso: [](ch_matrices), `MATAIJCUSPARSE`, `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2313 E*/
2314 
2315 typedef enum {
2316   MAT_CUSPARSE_CSR,
2317   MAT_CUSPARSE_ELL,
2318   MAT_CUSPARSE_HYB
2319 } MatCUSPARSEStorageFormat;
2320 
2321 /* these will be strings associated with enumerated type defined above */
2322 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2323 
2324 /*E
2325     MatCUSPARSEFormatOperation - indicates the operation of `MATAIJCUSPARSE` (GPU)
2326     matrices whose operation should use a particular storage format.
2327 
2328     Values:
2329 +   `MAT_CUSPARSE_MULT_DIAG` - sets the storage format for the diagonal matrix in the parallel MatMult
2330 .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the offdiagonal matrix in the parallel MatMult
2331 .   `MAT_CUSPARSE_MULT` - sets the storage format for the entire matrix in the serial (single GPU) MatMult
2332 -   `MAT_CUSPARSE_ALL` - sets the storage format for all `MATAIJCUSPARSE` (GPU) matrices
2333 
2334     Level: intermediate
2335 
2336 .seealso: [](ch_matrices), `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2337 E*/
2338 typedef enum {
2339   MAT_CUSPARSE_MULT_DIAG,
2340   MAT_CUSPARSE_MULT_OFFDIAG,
2341   MAT_CUSPARSE_MULT,
2342   MAT_CUSPARSE_ALL
2343 } MatCUSPARSEFormatOperation;
2344 
2345 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2346 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2347 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2348 PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2349 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2350 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2351 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2352 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2353 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2354 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2355 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2356 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);
2357 
2358 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2359 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2360 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2361 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2362 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2363 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2364 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2365 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2366 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2367 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2368 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2369 PETSC_EXTERN PetscErrorCode MatDenseCUDASetPreallocation(Mat, PetscScalar *);
2370 
2371 PETSC_EXTERN PetscErrorCode MatCreateSeqSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2372 PETSC_EXTERN PetscErrorCode MatCreateSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2373 #endif
2374 
2375 #ifdef PETSC_HAVE_HIP
2376 /*E
2377     MatHIPSPARSEStorageFormat - indicates the storage format for `MATAIJHIPSPARSE` (GPU)
2378     matrices.
2379 
2380     Values:
2381 +   `MAT_HIPSPARSE_CSR` - Compressed Sparse Row
2382 .   `MAT_HIPSPARSE_ELL` - Ellpack
2383 -   `MAT_HIPSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format
2384 
2385     Level: intermediate
2386 
2387 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
2388 E*/
2389 
2390 typedef enum {
2391   MAT_HIPSPARSE_CSR,
2392   MAT_HIPSPARSE_ELL,
2393   MAT_HIPSPARSE_HYB
2394 } MatHIPSPARSEStorageFormat;
2395 
2396 /* these will be strings associated with enumerated type defined above */
2397 PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];
2398 
2399 /*E
2400     MatHIPSPARSEFormatOperation - indicates the operation of `MATAIJHIPSPARSE` (GPU)
2401     matrices whose operation should use a particular storage format.
2402 
2403     Values:
2404 +   `MAT_HIPSPARSE_MULT_DIAG` - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2405 .   `MAT_HIPSPARSE_MULT_OFFDIAG` - sets the storage format for the offdiagonal matrix in the parallel `MatMult()`
2406 .   `MAT_HIPSPARSE_MULT` - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2407 -   `MAT_HIPSPARSE_ALL` - sets the storage format for all HIPSPARSE (GPU) matrices
2408 
2409     Level: intermediate
2410 
2411 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
2412 E*/
2413 typedef enum {
2414   MAT_HIPSPARSE_MULT_DIAG,
2415   MAT_HIPSPARSE_MULT_OFFDIAG,
2416   MAT_HIPSPARSE_MULT,
2417   MAT_HIPSPARSE_ALL
2418 } MatHIPSPARSEFormatOperation;
2419 
2420 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2421 PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2422 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
2423 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
2424 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2425 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2426 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
2427 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
2428 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
2429 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
2430 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
2431 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);
2432 
2433 PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2434 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2435 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
2436 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
2437 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
2438 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
2439 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
2440 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
2441 PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
2442 PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
2443 PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);
2444 PETSC_EXTERN PetscErrorCode MatDenseHIPSetPreallocation(Mat, PetscScalar *);
2445 #endif
2446 
2447 #if defined(PETSC_HAVE_VIENNACL)
2448 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2449 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2450 #endif
2451 
2452 #if defined(PETSC_HAVE_FFTW)
2453 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2454 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2455 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2456 #endif
2457 
2458 #if defined(PETSC_HAVE_SCALAPACK)
2459 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2460 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2461 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2462 #endif
2463 
2464 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2465 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2466 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2467 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2468 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2469 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2470 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2471 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2472 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);
2473 
2474 PETSC_EXTERN PetscErrorCode MatFilter(Mat, PetscReal, PetscBool, PetscBool);
2475 PETSC_DEPRECATED_FUNCTION(3, 20, 0, "MatFilter()", ) static inline PetscErrorCode MatChop(Mat A, PetscReal tol)
2476 {
2477   return MatFilter(A, tol, PETSC_FALSE, PETSC_FALSE);
2478 }
2479 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);
2480 
2481 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);
2482 
2483 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);
2484 
2485 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2486 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);
2487 
2488 PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);
2489 
2490 PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, Mat *);
2491 PETSC_EXTERN PetscErrorCode MatEliminateZeros(Mat, PetscBool);
2492 
2493 PETSC_EXTERN PetscErrorCode MatCreateDenseFromVecType(MPI_Comm, VecType, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar *, Mat *);
2494 #endif
2495