xref: /petsc/include/petscmat.h (revision 697336901c45ac77e1fd620fe1fca906cf3f95c8)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #ifndef PETSCMAT_H
5 #define PETSCMAT_H
6 
7 #include <petscvec.h>
8 
9 /* SUBMANSEC = Mat */
10 
11 /*S
12      Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
13            an explicit sparse representation (such as matrix-free operators)
14 
15    Level: beginner
16 
17    Note:
18    See [](doc_matrix), [](ch_matrices) and `MatType` for available matrix types
19 
20 .seealso: [](doc_matrix), [](ch_matrices), `MatCreate()`, `MatType`, `MatSetType()`, `MatDestroy()`
21 S*/
22 typedef struct _p_Mat *Mat;
23 
24 /*J
25     MatType - String with the name of a PETSc matrix type
26 
27    Level: beginner
28 
29    Note:
30    [](doc_matrix) for a table of available matrix types
31 
32 .seealso: [](doc_matrix), [](ch_matrices), `MatSetType()`, `Mat`, `MatSolverType`, `MatRegister()`
33 J*/
34 typedef const char *MatType;
35 #define MATSAME                      "same"
36 #define MATMAIJ                      "maij"
37 #define MATSEQMAIJ                   "seqmaij"
38 #define MATMPIMAIJ                   "mpimaij"
39 #define MATKAIJ                      "kaij"
40 #define MATSEQKAIJ                   "seqkaij"
41 #define MATMPIKAIJ                   "mpikaij"
42 #define MATIS                        "is"
43 #define MATAIJ                       "aij"
44 #define MATSEQAIJ                    "seqaij"
45 #define MATMPIAIJ                    "mpiaij"
46 #define MATAIJCRL                    "aijcrl"
47 #define MATSEQAIJCRL                 "seqaijcrl"
48 #define MATMPIAIJCRL                 "mpiaijcrl"
49 #define MATAIJCUSPARSE               "aijcusparse"
50 #define MATSEQAIJCUSPARSE            "seqaijcusparse"
51 #define MATMPIAIJCUSPARSE            "mpiaijcusparse"
52 #define MATAIJHIPSPARSE              "aijhipsparse"
53 #define MATSEQAIJHIPSPARSE           "seqaijhipsparse"
54 #define MATMPIAIJHIPSPARSE           "mpiaijhipsparse"
55 #define MATAIJKOKKOS                 "aijkokkos"
56 #define MATSEQAIJKOKKOS              "seqaijkokkos"
57 #define MATMPIAIJKOKKOS              "mpiaijkokkos"
58 #define MATAIJVIENNACL               "aijviennacl"
59 #define MATSEQAIJVIENNACL            "seqaijviennacl"
60 #define MATMPIAIJVIENNACL            "mpiaijviennacl"
61 #define MATAIJPERM                   "aijperm"
62 #define MATSEQAIJPERM                "seqaijperm"
63 #define MATMPIAIJPERM                "mpiaijperm"
64 #define MATAIJSELL                   "aijsell"
65 #define MATSEQAIJSELL                "seqaijsell"
66 #define MATMPIAIJSELL                "mpiaijsell"
67 #define MATAIJMKL                    "aijmkl"
68 #define MATSEQAIJMKL                 "seqaijmkl"
69 #define MATMPIAIJMKL                 "mpiaijmkl"
70 #define MATBAIJMKL                   "baijmkl"
71 #define MATSEQBAIJMKL                "seqbaijmkl"
72 #define MATMPIBAIJMKL                "mpibaijmkl"
73 #define MATSHELL                     "shell"
74 #define MATCENTERING                 "centering"
75 #define MATDENSE                     "dense"
76 #define MATDENSECUDA                 "densecuda"
77 #define MATDENSEHIP                  "densehip"
78 #define MATSEQDENSE                  "seqdense"
79 #define MATSEQDENSECUDA              "seqdensecuda"
80 #define MATSEQDENSEHIP               "seqdensehip"
81 #define MATMPIDENSE                  "mpidense"
82 #define MATMPIDENSECUDA              "mpidensecuda"
83 #define MATMPIDENSEHIP               "mpidensehip"
84 #define MATELEMENTAL                 "elemental"
85 #define MATSCALAPACK                 "scalapack"
86 #define MATBAIJ                      "baij"
87 #define MATSEQBAIJ                   "seqbaij"
88 #define MATMPIBAIJ                   "mpibaij"
89 #define MATMPIADJ                    "mpiadj"
90 #define MATSBAIJ                     "sbaij"
91 #define MATSEQSBAIJ                  "seqsbaij"
92 #define MATMPISBAIJ                  "mpisbaij"
93 #define MATMFFD                      "mffd"
94 #define MATNORMAL                    "normal"
95 #define MATNORMALHERMITIAN           "normalh"
96 #define MATLRC                       "lrc"
97 #define MATSCATTER                   "scatter"
98 #define MATBLOCKMAT                  "blockmat"
99 #define MATCOMPOSITE                 "composite"
100 #define MATFFT                       "fft"
101 #define MATFFTW                      "fftw"
102 #define MATSEQCUFFT                  "seqcufft"
103 #define MATSEQHIPFFT                 "seqhipfft"
104 #define MATTRANSPOSEMAT              PETSC_DEPRECATED_MACRO(3, 18, 0, "MATTRANSPOSEVIRTUAL", ) "transpose"
105 #define MATTRANSPOSEVIRTUAL          "transpose"
106 #define MATHERMITIANTRANSPOSEVIRTUAL "hermitiantranspose"
107 #define MATSCHURCOMPLEMENT           "schurcomplement"
108 #define MATPYTHON                    "python"
109 #define MATHYPRE                     "hypre"
110 #define MATHYPRESTRUCT               "hyprestruct"
111 #define MATHYPRESSTRUCT              "hypresstruct"
112 #define MATSUBMATRIX                 "submatrix"
113 #define MATLOCALREF                  "localref"
114 #define MATNEST                      "nest"
115 #define MATPREALLOCATOR              "preallocator"
116 #define MATSELL                      "sell"
117 #define MATSEQSELL                   "seqsell"
118 #define MATMPISELL                   "mpisell"
119 #define MATSELLCUDA                  "sellcuda"
120 #define MATSEQSELLCUDA               "seqsellcuda"
121 #define MATMPISELLCUDA               "mpisellcuda"
122 #define MATDUMMY                     "dummy"
123 #define MATLMVM                      "lmvm"
124 #define MATLMVMDFP                   "lmvmdfp"
125 #define MATLMVMBFGS                  "lmvmbfgs"
126 #define MATLMVMSR1                   "lmvmsr1"
127 #define MATLMVMBROYDEN               "lmvmbroyden"
128 #define MATLMVMBADBROYDEN            "lmvmbadbroyden"
129 #define MATLMVMSYMBROYDEN            "lmvmsymbroyden"
130 #define MATLMVMSYMBADBROYDEN         "lmvmsymbadbroyden"
131 #define MATLMVMDIAGBROYDEN           "lmvmdiagbroyden"
132 #define MATCONSTANTDIAGONAL          "constantdiagonal"
133 #define MATDIAGONAL                  "diagonal"
134 #define MATHTOOL                     "htool"
135 #define MATH2OPUS                    "h2opus"
136 
137 /*J
138     MatSolverType - String with the name of a PETSc factorization based matrix solver type.
139 
140     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
141 
142    Level: beginner
143 
144    Note:
145    `MATSOLVERUMFPACK`, `MATSOLVERCHOLMOD`, `MATSOLVERKLU`, `MATSOLVERSPQR` form the SuiteSparse package; you can use `--download-suitesparse` as
146    a ./configure option to install them
147 
148 .seealso: [](sec_matfactor), [](ch_matrices), `MatGetFactor()`, `PCFactorSetMatSolverType()`, `PCFactorGetMatSolverType()`
149 J*/
150 typedef const char *MatSolverType;
151 #define MATSOLVERSUPERLU      "superlu"
152 #define MATSOLVERSUPERLU_DIST "superlu_dist"
153 #define MATSOLVERSTRUMPACK    "strumpack"
154 #define MATSOLVERUMFPACK      "umfpack"
155 #define MATSOLVERCHOLMOD      "cholmod"
156 #define MATSOLVERKLU          "klu"
157 #define MATSOLVERELEMENTAL    "elemental"
158 #define MATSOLVERSCALAPACK    "scalapack"
159 #define MATSOLVERESSL         "essl"
160 #define MATSOLVERLUSOL        "lusol"
161 #define MATSOLVERMUMPS        "mumps"
162 #define MATSOLVERMKL_PARDISO  "mkl_pardiso"
163 #define MATSOLVERMKL_CPARDISO "mkl_cpardiso"
164 #define MATSOLVERPASTIX       "pastix"
165 #define MATSOLVERMATLAB       "matlab"
166 #define MATSOLVERPETSC        "petsc"
167 #define MATSOLVERBAS          "bas"
168 #define MATSOLVERCUSPARSE     "cusparse"
169 #define MATSOLVERCUDA         "cuda"
170 #define MATSOLVERHIPSPARSE    "hipsparse"
171 #define MATSOLVERHIP          "hip"
172 #define MATSOLVERKOKKOS       "kokkos"
173 #define MATSOLVERSPQR         "spqr"
174 
175 /*E
176     MatFactorType - indicates what type of factorization is requested
177 
178     Values:
179 +  `MAT_FACTOR_LU` - LU factorization
180 .  `MAT_FACTOR_CHOLESKY` - Cholesky factorization
181 .  `MAT_FACTOR_ILU` - ILU factorization
182 .  `MAT_FACTOR_ICC` - incomplete Cholesky factorization
183 .  `MAT_FACTOR_ILUDT` - ILU factorization with drop tolerance
184 -  `MAT_FACTOR_QR` - QR factorization
185 
186     Level: beginner
187 
188 .seealso: [](ch_matrices), `MatSolverType`, `MatGetFactor()`, `MatGetFactorAvailable()`, `MatSolverTypeRegister()`
189 E*/
190 typedef enum {
191   MAT_FACTOR_NONE,
192   MAT_FACTOR_LU,
193   MAT_FACTOR_CHOLESKY,
194   MAT_FACTOR_ILU,
195   MAT_FACTOR_ICC,
196   MAT_FACTOR_ILUDT,
197   MAT_FACTOR_QR,
198   MAT_FACTOR_NUM_TYPES
199 } MatFactorType;
200 PETSC_EXTERN const char *const MatFactorTypes[];
201 
202 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat, MatSolverType, MatFactorType, Mat *);
203 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat, MatSolverType, MatFactorType, PetscBool *);
204 PETSC_EXTERN PetscErrorCode MatFactorGetCanUseOrdering(Mat, PetscBool *);
205 PETSC_DEPRECATED_FUNCTION(3, 15, 0, "MatFactorGetCanUseOrdering()", ) static inline PetscErrorCode MatFactorGetUseOrdering(Mat A, PetscBool *b)
206 {
207   return MatFactorGetCanUseOrdering(A, b);
208 }
209 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat, MatSolverType *);
210 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat, MatFactorType *);
211 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat, MatFactorType);
212 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatSolverFunction)(Mat, MatFactorType, Mat *);
213 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType, MatType, MatFactorType, MatSolverFunction);
214 PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType, MatType, MatFactorType, PetscBool *, PetscBool *, MatSolverFunction *);
215 typedef MatSolverType       MatSolverPackage PETSC_DEPRECATED_TYPEDEF(3, 9, 0, "MatSolverType", );
216 PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSolverTypeRegister()", ) static inline PetscErrorCode MatSolverPackageRegister(MatSolverType stype, MatType mtype, MatFactorType ftype, MatSolverFunction f)
217 {
218   return MatSolverTypeRegister(stype, mtype, ftype, f);
219 }
220 PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSolverTypeGet()", ) static inline PetscErrorCode MatSolverPackageGet(MatSolverType stype, MatType mtype, MatFactorType ftype, PetscBool *foundmtype, PetscBool *foundstype, MatSolverFunction *f)
221 {
222   return MatSolverTypeGet(stype, mtype, ftype, foundmtype, foundstype, f);
223 }
224 
225 /*E
226     MatProductType - indicates what type of matrix product is requested
227 
228     Values:
229 +  `MATPRODUCT_AB` - product of two matrices
230 .  `MATPRODUCT_AtB` - product of the transpose of a given matrix with a matrix
231 .  `MATPRODUCT_ABt` - product of a matrix with the transpose of another given matrix
232 .  `MATPRODUCT_PtAP` - the triple product of the transpose of a matrix with another matrix and itself
233 .  `MATPRODUCT_RARt` - the triple product of a matrix, another matrix and the transpose of the first matrix
234 -  `MATPRODUCT_ABC` - the product of three matrices
235 
236     Level: beginner
237 
238 .seealso: [](sec_matmatproduct), [](ch_matrices), `MatProductSetType()`
239 E*/
240 typedef enum {
241   MATPRODUCT_UNSPECIFIED = 0,
242   MATPRODUCT_AB,
243   MATPRODUCT_AtB,
244   MATPRODUCT_ABt,
245   MATPRODUCT_PtAP,
246   MATPRODUCT_RARt,
247   MATPRODUCT_ABC
248 } MatProductType;
249 PETSC_EXTERN const char *const MatProductTypes[];
250 
251 /*J
252     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
253 
254    Level: beginner
255 
256 .seealso: [](sec_matmatproduct), [](ch_matrices), `MatSetType()`, `Mat`, `MatProductSetAlgorithm()`, `MatProductType`
257 J*/
258 typedef const char *MatProductAlgorithm;
259 #define MATPRODUCTALGORITHMDEFAULT         "default"
260 #define MATPRODUCTALGORITHMSORTED          "sorted"
261 #define MATPRODUCTALGORITHMSCALABLE        "scalable"
262 #define MATPRODUCTALGORITHMSCALABLEFAST    "scalable_fast"
263 #define MATPRODUCTALGORITHMHEAP            "heap"
264 #define MATPRODUCTALGORITHMBHEAP           "btheap"
265 #define MATPRODUCTALGORITHMLLCONDENSED     "llcondensed"
266 #define MATPRODUCTALGORITHMROWMERGE        "rowmerge"
267 #define MATPRODUCTALGORITHMOUTERPRODUCT    "outerproduct"
268 #define MATPRODUCTALGORITHMATB             "at*b"
269 #define MATPRODUCTALGORITHMRAP             "rap"
270 #define MATPRODUCTALGORITHMNONSCALABLE     "nonscalable"
271 #define MATPRODUCTALGORITHMSEQMPI          "seqmpi"
272 #define MATPRODUCTALGORITHMBACKEND         "backend"
273 #define MATPRODUCTALGORITHMOVERLAPPING     "overlapping"
274 #define MATPRODUCTALGORITHMMERGED          "merged"
275 #define MATPRODUCTALGORITHMALLATONCE       "allatonce"
276 #define MATPRODUCTALGORITHMALLATONCEMERGED "allatonce_merged"
277 #define MATPRODUCTALGORITHMALLGATHERV      "allgatherv"
278 #define MATPRODUCTALGORITHMCYCLIC          "cyclic"
279 #if defined(PETSC_HAVE_HYPRE)
280   #define MATPRODUCTALGORITHMHYPRE "hypre"
281 #endif
282 
283 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat, Mat, Mat, Mat *);
284 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat, Mat, Mat, Mat);
285 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat, MatProductType);
286 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat, MatProductAlgorithm);
287 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat, PetscReal);
288 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
289 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
290 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
291 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat, Mat, Mat, Mat);
292 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
293 PETSC_EXTERN PetscErrorCode MatProductView(Mat, PetscViewer);
294 PETSC_EXTERN PetscErrorCode MatProductGetType(Mat, MatProductType *);
295 PETSC_EXTERN PetscErrorCode MatProductGetMats(Mat, Mat *, Mat *, Mat *);
296 
297 /* Logging support */
298 #define MAT_FILE_CLASSID 1211216 /* used to indicate matrices in binary files */
299 PETSC_EXTERN PetscClassId MAT_CLASSID;
300 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
301 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
302 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
303 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
304 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
305 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
306 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
307 
308 /*E
309     MatReuse - Indicates if matrices obtained from a previous call to `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatConvert()` or several other functions
310      are to be reused to store the new matrix values.
311 
312    Values:
313 +  `MAT_INITIAL_MATRIX` - create a new matrix
314 .  `MAT_REUSE_MATRIX` - reuse the matrix created with a previous call that used `MAT_INITIAL_MATRIX`
315 .  `MAT_INPLACE_MATRIX` - replace the first input matrix with the new matrix (not applicable to all functions)
316 -  `MAT_IGNORE_MATRIX` - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
317 
318     Level: beginner
319 
320 .seealso: [](ch_matrices), `Mat`, `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatDestroyMatrices()`, `MatConvert()`
321 E*/
322 typedef enum {
323   MAT_INITIAL_MATRIX,
324   MAT_REUSE_MATRIX,
325   MAT_IGNORE_MATRIX,
326   MAT_INPLACE_MATRIX
327 } MatReuse;
328 
329 /*E
330     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to `MatCreateSubMatrices()`
331      include the matrix values. Currently it is only used by `MatGetSeqNonzeroStructure()`.
332 
333     Level: developer
334 
335     Values:
336 +  `MAT_DO_NOT_GET_VALUES` - do not copy the matrix values
337 -  `MAT_GET_VALUES` - copy the matrix values
338 
339     Developer Note:
340     Why is not just a boolean used for this information?
341 
342 .seealso: [](ch_matrices), `Mat`, `MatDuplicateOption`, `PetscCopyMode`, `MatGetSeqNonzeroStructure()`
343 E*/
344 typedef enum {
345   MAT_DO_NOT_GET_VALUES,
346   MAT_GET_VALUES
347 } MatCreateSubMatrixOption;
348 
349 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
350 
351 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm, Mat *);
352 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat, PetscInt, PetscInt, PetscInt, PetscInt);
353 PETSC_EXTERN PetscErrorCode MatSetType(Mat, MatType);
354 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat, VecType *);
355 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat, VecType);
356 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
357 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat, PetscObject, const char[]);
358 PETSC_EXTERN PetscErrorCode MatRegister(const char[], PetscErrorCode (*)(Mat));
359 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[], const char[], const char[]);
360 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat, const char[]);
361 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefixFactor(Mat, const char[]);
362 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefixFactor(Mat, const char[]);
363 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat, const char[]);
364 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat, const char *[]);
365 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat, PetscBool);
366 
367 PETSC_EXTERN PetscFunctionList MatList;
368 PETSC_EXTERN PetscFunctionList MatColoringList;
369 PETSC_EXTERN PetscFunctionList MatPartitioningList;
370 
371 /*E
372     MatStructure - Indicates if two matrices have the same nonzero structure
373 
374    Values:
375 +  `SAME_NONZERO_PATTERN`  - the two matrices have identical nonzero patterns
376 .  `DIFFERENT_NONZERO_PATTERN` - the two matrices may have different nonzero patterns
377 .  `SUBSET_NONZERO_PATTERN` - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
378 -  `UNKNOWN_NONZERO_PATTERN` - there is no known relationship between the nonzero patterns. In this case the implementations
379                                may try to detect a relationship to optimize the operation
380 
381     Level: beginner
382 
383 .seealso: [](ch_matrices), `Mat`, `MatCopy()`, `MatAXPY()`, `MatAYPX()`
384 E*/
385 typedef enum {
386   DIFFERENT_NONZERO_PATTERN,
387   SUBSET_NONZERO_PATTERN,
388   SAME_NONZERO_PATTERN,
389   UNKNOWN_NONZERO_PATTERN
390 } MatStructure;
391 PETSC_EXTERN const char *const MatStructures[];
392 
393 #if defined                 PETSC_HAVE_MKL_SPARSE
394 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
395 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
396 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
397 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
398 #endif
399 
400 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
401 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
402 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat, PetscInt, const PetscInt[]);
403 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
404 PETSC_EXTERN PetscErrorCode MatSeqSELLGetFillRatio(Mat, PetscReal *);
405 PETSC_EXTERN PetscErrorCode MatSeqSELLGetMaxSliceWidth(Mat, PetscInt *);
406 PETSC_EXTERN PetscErrorCode MatSeqSELLGetAvgSliceWidth(Mat, PetscReal *);
407 PETSC_EXTERN PetscErrorCode MatSeqSELLSetSliceHeight(Mat, PetscInt);
408 PETSC_EXTERN PetscErrorCode MatSeqSELLGetVarSliceSize(Mat, PetscReal *);
409 
410 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
411 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
412 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
413 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
414 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
415 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
416 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArray(Mat, const PetscScalar[]);
417 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], PetscInt[], PetscInt[], PetscScalar[], Mat *);
418 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm, Mat, Mat, const PetscInt[], Mat *);
419 
420 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
421 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
422 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
423 
424 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat, PetscCount, PetscInt[], PetscInt[]);
425 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat, PetscCount, PetscInt[], PetscInt[]);
426 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat, const PetscScalar[], InsertMode);
427 
428 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscInt[], Mat *);
429 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
430 
431 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
432 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
433 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
434 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
435 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], const PetscInt[]);
436 
437 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, void *, Mat *);
438 PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm, PetscInt, PetscInt, Mat *);
439 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat, Mat *);
440 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat, Mat *);
441 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat, Mat, Vec, Mat, Mat *);
442 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat, Mat *, Mat *, Vec *, Mat *);
443 PETSC_EXTERN PetscErrorCode MatLRCSetMats(Mat, Mat, Mat, Vec, Mat);
444 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, ISLocalToGlobalMapping, ISLocalToGlobalMapping, Mat *);
445 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
446 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
447 
448 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm, VecScatter, Mat *);
449 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat, VecScatter);
450 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat, VecScatter *);
451 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt *, Mat *);
452 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat, Mat);
453 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
454 typedef enum {
455   MAT_COMPOSITE_MERGE_RIGHT,
456   MAT_COMPOSITE_MERGE_LEFT
457 } MatCompositeMergeType;
458 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat, MatCompositeMergeType);
459 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm, PetscInt, const Mat *, Mat *);
460 typedef enum {
461   MAT_COMPOSITE_ADDITIVE,
462   MAT_COMPOSITE_MULTIPLICATIVE
463 } MatCompositeType;
464 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat, MatCompositeType);
465 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat, MatCompositeType *);
466 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat, MatStructure);
467 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat, MatStructure *);
468 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat, PetscInt *);
469 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat, PetscInt, Mat *);
470 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat, const PetscScalar *);
471 
472 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm, PetscInt, const PetscInt[], MatType, Mat *);
473 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm, PetscInt, const PetscInt[], Mat *);
474 
475 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat, Mat *);
476 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat, Mat *);
477 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat, Mat *);
478 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat, Mat *);
479 PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat, Mat *);
480 PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat, Mat *);
481 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat, IS, IS, Mat *);
482 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat, Mat, IS, IS);
483 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat, IS, IS, Mat *);
484 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar, Mat *);
485 PETSC_EXTERN PetscErrorCode MatCreateDiagonal(Vec, Mat *);
486 PETSC_EXTERN PetscErrorCode MatDiagonalGetDiagonal(Mat, Vec *);
487 PETSC_EXTERN PetscErrorCode MatDiagonalRestoreDiagonal(Mat, Vec *);
488 PETSC_EXTERN PetscErrorCode MatDiagonalGetInverseDiagonal(Mat, Vec *);
489 PETSC_EXTERN PetscErrorCode MatDiagonalRestoreInverseDiagonal(Mat, Vec *);
490 
491 #if defined(PETSC_HAVE_HYPRE)
492 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
493 #endif
494 
495 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat, const char[]);
496 PETSC_EXTERN PetscErrorCode MatPythonGetType(Mat, const char *[]);
497 
498 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
499 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
500 PETSC_EXTERN PetscErrorCode MatDestroy(Mat *);
501 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat, PetscObjectState *);
502 
503 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
504 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
505 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
506 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat, Mat *);
507 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat, PetscScalar *);
508 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat, const PetscScalar **);
509 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat, PetscInt, const PetscInt *, PetscScalar *);
510 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat, Mat);
511 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat, MatReuse, Mat *);
512 
513 PETSC_EXTERN PetscErrorCode MatSetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
514 PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat, IS, IS, const PetscScalar[], InsertMode);
515 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
516 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat, PetscInt, const PetscScalar[]);
517 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat, PetscInt, const PetscScalar[]);
518 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt[], const PetscScalar[]);
519 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat, PetscRandom);
520 
521 /*S
522      MatStencil - Data structure (C struct) for storing information about rows and
523         columns of a matrix as indexed on an associated grid. These are arguments to `MatSetStencil()` and `MatSetBlockStencil()`
524 
525    Level: beginner
526 
527    Notes:
528    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).
529    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.
530 
531    For stencil access to vectors see `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`.
532 
533    For staggered grids, see `DMStagStencil`
534 
535    Fortran Note:
536    See `MatSetValuesStencil()` for details.
537 
538 .seealso: [](ch_matrices), `Mat`, `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`,
539           `DMStagStencil`
540 S*/
541 typedef struct {
542   PetscInt k, j, i, c;
543 } MatStencil;
544 
545 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
546 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
547 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat, PetscInt, const PetscInt[], const PetscInt[], PetscInt);
548 
549 /*E
550     MatAssemblyType - Indicates if the process of setting values into the matrix is complete, and the matrix is ready for use
551 
552     Values:
553 +   `MAT_FLUSH_ASSEMBLY` - you will continue to put values into the matrix
554 -   `MAT_FINAL_ASSEMBLY` - you wish to use the matrix with the values currently inserted
555 
556     Level: beginner
557 
558 .seealso: [](ch_matrices), `Mat`, `MatSetValues`, `MatAssemblyBegin()`, `MatAssemblyEnd()`
559 E*/
560 typedef enum {
561   MAT_FLUSH_ASSEMBLY = 1,
562   MAT_FINAL_ASSEMBLY = 0
563 } MatAssemblyType;
564 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat, MatAssemblyType);
565 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat, MatAssemblyType);
566 PETSC_EXTERN PetscErrorCode MatAssembled(Mat, PetscBool *);
567 
568 /*E
569     MatOption - Options that may be set for a matrix that indicate properties of the matrix or affect its behavior or storage
570 
571     Level: beginner
572 
573    Note:
574    See `MatSetOption()` for the use of the options
575 
576    Developer Note:
577    Entries that are negative need not be called collectively by all processes.
578 
579 .seealso: [](ch_matrices), `Mat`, `MatSetOption()`
580 E*/
581 typedef enum {
582   MAT_OPTION_MIN                  = -3,
583   MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
584   MAT_ROW_ORIENTED                = -1,
585   MAT_SYMMETRIC                   = 1,
586   MAT_STRUCTURALLY_SYMMETRIC      = 2,
587   MAT_FORCE_DIAGONAL_ENTRIES      = 3,
588   MAT_IGNORE_OFF_PROC_ENTRIES     = 4,
589   MAT_USE_HASH_TABLE              = 5,
590   MAT_KEEP_NONZERO_PATTERN        = 6,
591   MAT_IGNORE_ZERO_ENTRIES         = 7,
592   MAT_USE_INODES                  = 8,
593   MAT_HERMITIAN                   = 9,
594   MAT_SYMMETRY_ETERNAL            = 10,
595   MAT_NEW_NONZERO_LOCATION_ERR    = 11,
596   MAT_IGNORE_LOWER_TRIANGULAR     = 12,
597   MAT_ERROR_LOWER_TRIANGULAR      = 13,
598   MAT_GETROW_UPPERTRIANGULAR      = 14,
599   MAT_SPD                         = 15,
600   MAT_NO_OFF_PROC_ZERO_ROWS       = 16,
601   MAT_NO_OFF_PROC_ENTRIES         = 17,
602   MAT_NEW_NONZERO_LOCATIONS       = 18,
603   MAT_NEW_NONZERO_ALLOCATION_ERR  = 19,
604   MAT_SUBSET_OFF_PROC_ENTRIES     = 20,
605   MAT_SUBMAT_SINGLEIS             = 21,
606   MAT_STRUCTURE_ONLY              = 22,
607   MAT_SORTED_FULL                 = 23,
608   MAT_FORM_EXPLICIT_TRANSPOSE     = 24,
609   MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
610   MAT_SPD_ETERNAL                 = 26,
611   MAT_OPTION_MAX                  = 27
612 } MatOption;
613 
614 PETSC_EXTERN const char *const *MatOptions;
615 PETSC_EXTERN PetscErrorCode     MatSetOption(Mat, MatOption, PetscBool);
616 PETSC_EXTERN PetscErrorCode     MatGetOption(Mat, MatOption, PetscBool *);
617 PETSC_EXTERN PetscErrorCode     MatPropagateSymmetryOptions(Mat, Mat);
618 PETSC_EXTERN PetscErrorCode     MatGetType(Mat, MatType *);
619 
620 PETSC_EXTERN PetscErrorCode    MatGetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
621 PETSC_EXTERN PetscErrorCode    MatGetRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
622 PETSC_EXTERN PetscErrorCode    MatRestoreRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
623 PETSC_EXTERN PetscErrorCode    MatGetRowUpperTriangular(Mat);
624 PETSC_EXTERN PetscErrorCode    MatRestoreRowUpperTriangular(Mat);
625 PETSC_EXTERN PetscErrorCode    MatGetColumnVector(Mat, Vec, PetscInt);
626 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArray(Mat, PetscScalar *[]);
627 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayRead(Mat, const PetscScalar *[]);
628 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayWrite(Mat, PetscScalar *[]);
629 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArray(Mat, PetscScalar *[]);
630 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayRead(Mat, const PetscScalar *[]);
631 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayWrite(Mat, PetscScalar *[]);
632 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetMaxRowNonzeros(Mat, PetscInt *);
633 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetValuesLocalFast(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
634 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetType(Mat, MatType);
635 PETSC_EXTERN PetscErrorCode    MatSeqAIJKron(Mat, Mat, MatReuse, Mat *);
636 PETSC_EXTERN PetscErrorCode    MatSeqAIJRegister(const char[], PetscErrorCode (*)(Mat, MatType, MatReuse, Mat *));
637 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
638 PETSC_EXTERN PetscErrorCode    MatSeqBAIJGetArray(Mat, PetscScalar *[]);
639 PETSC_EXTERN PetscErrorCode    MatSeqBAIJRestoreArray(Mat, PetscScalar *[]);
640 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJGetArray(Mat, PetscScalar *[]);
641 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJRestoreArray(Mat, PetscScalar *[]);
642 PETSC_EXTERN PetscErrorCode    MatDenseGetArray(Mat, PetscScalar *[]);
643 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArray(Mat, PetscScalar *[]);
644 PETSC_EXTERN PetscErrorCode    MatDensePlaceArray(Mat, const PetscScalar[]);
645 PETSC_EXTERN PetscErrorCode    MatDenseReplaceArray(Mat, const PetscScalar[]);
646 PETSC_EXTERN PetscErrorCode    MatDenseResetArray(Mat);
647 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayRead(Mat, const PetscScalar *[]);
648 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayRead(Mat, const PetscScalar *[]);
649 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWrite(Mat, PetscScalar *[]);
650 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWrite(Mat, PetscScalar *[]);
651 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayAndMemType(Mat, PetscScalar *[], PetscMemType *);
652 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayAndMemType(Mat, PetscScalar *[]);
653 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayReadAndMemType(Mat, const PetscScalar *[], PetscMemType *);
654 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayReadAndMemType(Mat, const PetscScalar *[]);
655 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWriteAndMemType(Mat, PetscScalar *[], PetscMemType *);
656 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWriteAndMemType(Mat, PetscScalar *[]);
657 PETSC_EXTERN PetscErrorCode    MatGetBlockSize(Mat, PetscInt *);
658 PETSC_EXTERN PetscErrorCode    MatSetBlockSize(Mat, PetscInt);
659 PETSC_EXTERN PetscErrorCode    MatGetBlockSizes(Mat, PetscInt *, PetscInt *);
660 PETSC_EXTERN PetscErrorCode    MatSetBlockSizes(Mat, PetscInt, PetscInt);
661 PETSC_EXTERN PetscErrorCode    MatSetBlockSizesFromMats(Mat, Mat, Mat);
662 PETSC_EXTERN PetscErrorCode    MatSetVariableBlockSizes(Mat, PetscInt, PetscInt *);
663 PETSC_EXTERN PetscErrorCode    MatGetVariableBlockSizes(Mat, PetscInt *, const PetscInt **);
664 
665 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat, PetscInt, PetscScalar *[]);
666 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat, PetscScalar *[]);
667 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat, PetscInt, Vec *);
668 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat, PetscInt, Vec *);
669 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat, PetscInt, Vec *);
670 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat, PetscInt, Vec *);
671 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat, PetscInt, Vec *);
672 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat, PetscInt, Vec *);
673 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
674 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat, Mat *);
675 
676 PETSC_EXTERN PetscErrorCode MatMult(Mat, Vec, Vec);
677 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat, Vec, Vec);
678 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat, Vec, Vec, Vec);
679 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat, Vec, Vec);
680 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat, Vec, Vec);
681 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat, Mat, PetscReal, PetscBool *);
682 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat, Mat, PetscReal, PetscBool *);
683 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat, Vec, Vec, Vec);
684 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat, Vec, Vec, Vec);
685 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat, Mat, Mat);
686 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat, Mat, Mat);
687 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat, Mat, Mat);
688 PETSC_EXTERN PetscErrorCode MatResidual(Mat, Vec, Vec, Vec);
689 
690 /*E
691     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
692   its numerical values copied over or just its nonzero structure.
693 
694     Values:
695 +   `MAT_DO_NOT_COPY_VALUES`    - Create a matrix using the same nonzero pattern as the original matrix,
696                                with zeros for the numerical values
697 .   `MAT_COPY_VALUES`           - Create a matrix with the same nonzero pattern as the original matrix
698                                and with the same numerical values.
699 -   `MAT_SHARE_NONZERO_PATTERN` - Create a matrix that shares the nonzero structure with the previous matrix
700                                and does not copy it, using zeros for the numerical values. The parent and
701                                child matrices will share their index (i and j) arrays, and you cannot
702                                insert new nonzero entries into either matrix
703 
704     Level: beginner
705 
706   Note:
707   Many matrix types (including `MATSEQAIJ`) do not support the `MAT_SHARE_NONZERO_PATTERN` optimization; in
708   this case the behavior is as if `MAT_DO_NOT_COPY_VALUES` has been specified.
709 
710 .seealso: [](ch_matrices), `Mat`, `MatDuplicate()`
711 E*/
712 typedef enum {
713   MAT_DO_NOT_COPY_VALUES,
714   MAT_COPY_VALUES,
715   MAT_SHARE_NONZERO_PATTERN
716 } MatDuplicateOption;
717 
718 PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
719 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);
720 
721 PETSC_EXTERN PetscErrorCode MatCopy(Mat, Mat, MatStructure);
722 PETSC_EXTERN PetscErrorCode MatView(Mat, PetscViewer);
723 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat, PetscReal, PetscBool *);
724 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat, PetscBool *);
725 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat, PetscReal, PetscBool *);
726 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat, PetscBool *, PetscBool *);
727 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat, PetscBool *, PetscBool *);
728 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat, PetscBool *, PetscBool *);
729 PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat, PetscBool *, PetscBool *);
730 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat, PetscBool *, PetscInt *);
731 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
732 
733 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
734 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
735 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
736 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
737 
738 /*S
739      MatInfo - Context of matrix information, used with `MatGetInfo()`
740 
741    Level: intermediate
742 
743    Fortran Note:
744    Information is stored as a double-precision array of dimension `MAT_INFO_SIZE`
745 
746 .seealso: [](ch_matrices), `Mat`, `MatGetInfo()`, `MatInfoType`
747 S*/
748 typedef struct {
749   PetscLogDouble block_size;                          /* block size */
750   PetscLogDouble nz_allocated, nz_used, nz_unneeded;  /* number of nonzeros */
751   PetscLogDouble memory;                              /* memory allocated */
752   PetscLogDouble assemblies;                          /* number of matrix assemblies called */
753   PetscLogDouble mallocs;                             /* number of mallocs during MatSetValues() */
754   PetscLogDouble fill_ratio_given, fill_ratio_needed; /* fill ratio for LU/ILU */
755   PetscLogDouble factor_mallocs;                      /* number of mallocs during factorization */
756 } MatInfo;
757 
758 /*E
759     MatInfoType - Indicates if you want information about the local part of the matrix,
760      the entire parallel matrix or the maximum over all the local parts.
761 
762     Values:
763 +   `MAT_LOCAL` - values for each MPI process part of the matrix
764 .   `MAT_GLOBAL_MAX` - maximum of each value over all MPI processes
765 -   `MAT_GLOBAL_SUM` - sum of each value over all MPI processes
766 
767     Level: beginner
768 
769 .seealso: [](ch_matrices), `MatGetInfo()`, `MatInfo`
770 E*/
771 typedef enum {
772   MAT_LOCAL      = 1,
773   MAT_GLOBAL_MAX = 2,
774   MAT_GLOBAL_SUM = 3
775 } MatInfoType;
776 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat, MatInfoType, MatInfo *);
777 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat, Vec);
778 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat, Vec, PetscInt[]);
779 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat, Vec, PetscInt[]);
780 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat, Vec, PetscInt[]);
781 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat, Vec, PetscInt[]);
782 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat, Vec);
783 PETSC_EXTERN PetscErrorCode MatTranspose(Mat, MatReuse, Mat *);
784 PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat, Mat *);
785 PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat, Mat);
786 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat, MatReuse, Mat *);
787 PETSC_EXTERN PetscErrorCode MatPermute(Mat, IS, IS, Mat *);
788 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat, Vec, Vec);
789 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat, Vec, InsertMode);
790 
791 PETSC_EXTERN PetscErrorCode MatEqual(Mat, Mat, PetscBool *);
792 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat, Mat, PetscInt, PetscBool *);
793 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat, Mat, PetscInt, PetscBool *);
794 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
795 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
796 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
797 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
798 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
799 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
800 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
801 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
802 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
803 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat, PetscInt, PetscBool *);
804 
805 PETSC_EXTERN PetscErrorCode MatNorm(Mat, NormType, PetscReal *);
806 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat, NormType, PetscReal *);
807 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat, PetscScalar *);
808 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat, PetscReal *);
809 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat, PetscReal *);
810 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat, PetscScalar *);
811 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat, PetscReal *);
812 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat, PetscReal *);
813 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat, PetscInt, PetscReal *);
814 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
815 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
816 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
817 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat, IS, PetscScalar, Vec, Vec);
818 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
819 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
820 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
821 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat, IS, PetscScalar, Vec, Vec);
822 
823 PETSC_EXTERN PetscErrorCode MatGetSize(Mat, PetscInt *, PetscInt *);
824 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat, PetscInt *, PetscInt *);
825 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat, PetscInt *, PetscInt *);
826 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat, const PetscInt **);
827 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat, PetscInt *, PetscInt *);
828 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat, const PetscInt **);
829 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat, IS *, IS *);
830 
831 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
832 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[])
833 {
834   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
835 }
836 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
837 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[])
838 {
839   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
840 }
841 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
842 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
843 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
844 PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatrix()", ) static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat)
845 {
846   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
847 }
848 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
849 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
850 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
851 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);
852 
853 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm, Mat, PetscInt, PetscInt, MatReuse, Mat *);
854 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm, Mat, PetscInt, PetscInt, Mat *);
855 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat, Mat);
856 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat, MatReuse, Mat *);
857 PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat, Mat *);
858 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
859 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat, MatReuse, IS *, Mat *);
860 PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat, PetscCount *);
861 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat, Mat, MatReuse, IS *, IS *, Mat *);
862 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *, const PetscInt *[]);
863 
864 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
865 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat, PetscInt n, IS is[], PetscInt ov);
866 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);
867 
868 PETSC_EXTERN PetscErrorCode MatMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
869 
870 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
871 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
872 
873 PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
874 PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);
875 
876 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
877 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);
878 
879 PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
880 PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);
881 
882 PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
883 PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);
884 
885 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping, ISLocalToGlobalMapping);
886 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
887 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat, PetscLayout *, PetscLayout *);
888 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat, PetscLayout, PetscLayout);
889 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
890 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
891 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
892 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
893 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
894 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
895 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
896 
897 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
898 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);
899 
900 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat, Vec, Vec);
901 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat, Vec, Vec, Vec);
902 PETSC_EXTERN PetscErrorCode MatRestrict(Mat, Vec, Vec);
903 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat, Mat, Mat *);
904 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat, Mat, Mat, Mat *);
905 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat, Mat, Mat *);
906 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat, Vec *, Vec *);
907 PETSC_DEPRECATED_FUNCTION(3, 6, 0, "MatCreateVecs()", ) static inline PetscErrorCode MatGetVecs(Mat mat, Vec *x, Vec *y)
908 {
909   return MatCreateVecs(mat, x, y);
910 }
911 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat, PetscInt, MPI_Comm, MatReuse, Mat *);
912 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat, MPI_Comm, MatReuse, Mat *);
913 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat, IS *);
914 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat, IS *);
915 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm, Mat, PetscInt, MatReuse, Mat *);
916 
917 /*MC
918    MatSetValue - Set a single entry into a matrix.
919 
920    This value may be cached, so `MatAssemblyBegin()` and `MatAssemblyEnd()`
921    MUST be called after all calls to `MatSetValue()` have been completed.
922 
923    Synopsis:
924      #include <petscmat.h>
925      PetscErrorCode MatSetValue(Mat m,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode)
926 
927    Not Collective
928 
929    Input Parameters:
930 +  m - the matrix
931 .  i - the row location of the entry
932 .  j - the column location of the entry
933 .  va - the value to insert
934 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
935 
936    Level: beginner
937 
938    Note:
939    For efficiency one should use `MatSetValues()` and set several values simultaneously.
940 
941 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd`, `InsertMode`, `MatGetValue()`, `MatSetValues()`,
942           `MatSetValueLocal()`, `MatSetValuesLocal()`
943 M*/
944 static inline PetscErrorCode MatSetValue(Mat m, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
945 {
946   return MatSetValues(m, 1, &i, 1, &j, &va, mode);
947 }
948 
949 /*@C
950    MatGetValue - Gets a single value from a matrix
951 
952    Not Collective; can only return a value owned by the given process
953 
954    Input Parameters:
955 +  mat - the matrix
956 .  row - the row location of the entry
957 -  col - the column location of the entry
958 
959    Output Parameter:
960 .  va - the value
961 
962    Level: advanced
963 
964    Notes:
965    The matrix must have been assembled with `MatAssemblyBegin()` and `MatAssemblyEnd` before this call
966 
967    For efficiency one should use `MatGetValues()` and get several values simultaneously.
968 
969    See notes for `MatGetValues()`.
970 
971 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd`, `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
972 @*/
973 static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
974 {
975   return MatGetValues(mat, 1, &row, 1, &col, va);
976 }
977 
978 /*MC
979    MatSetValueLocal - Inserts or adds a single value into a matrix, using a local numbering of the nodes.
980 
981    Not Collective
982 
983    Input Parameters:
984 +  m - the matrix
985 .  i - the row location of the entry
986 .  j - the column location of the entry
987 .  va - the value to insert
988 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
989 
990    Level: intermediate
991 
992    Notes:
993    For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.
994 
995    See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.
996 
997 .seealso: [](ch_matrices), `MatSetValue()`, `MatSetValuesLocal()`
998 M*/
999 static inline PetscErrorCode MatSetValueLocal(Mat m, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
1000 {
1001   return MatSetValuesLocal(m, 1, &i, 1, &j, &va, mode);
1002 }
1003 
1004 /*MC
1005    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
1006        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1007 
1008    Synopsis:
1009    #include <petscmat.h>
1010    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
1011 
1012    Collective
1013 
1014    Input Parameters:
1015 +  comm - the communicator that will share the eventually allocated matrix
1016 .  nrows - the number of LOCAL rows in the matrix
1017 -  ncols - the number of LOCAL columns in the matrix
1018 
1019    Output Parameters:
1020 +  dnz - the array that will be passed to the matrix preallocation routines
1021 -  onz - the other array passed to the matrix preallocation routines
1022 
1023    Level: deprecated (since v3.19)
1024 
1025    Notes:
1026    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1027    the use of this routine
1028 
1029    This is a macro that handles its own error checking, it does not return an error code.
1030 
1031    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1032 
1033    Developer Note:
1034     This is a MACRO not a function because it has a leading { that is closed by `PetscPreallocateFinalize()`.
1035 
1036 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1037           `MatPreallocateSymmetricSetLocalBlock()`
1038 M*/
1039 #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
1040   do { \
1041     PetscInt              __nrows = (nrows), __ncols = (ncols), __rstart, __end = 0; \
1042     PetscInt PETSC_UNUSED __start; \
1043     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
1044     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
1045     __start = __end - __ncols; \
1046     (void)__start; \
1047     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
1048   __rstart -= __nrows
1049 
1050 #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateBegin()", ) MatPreallocateBegin(__VA_ARGS__)
1051 
1052 /*MC
1053    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1054        inserted using a local number of the rows and columns
1055 
1056    Synopsis:
1057    #include <petscmat.h>
1058    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1059 
1060    Not Collective
1061 
1062    Input Parameters:
1063 +  map - the row mapping from local numbering to global numbering
1064 .  nrows - the number of rows indicated
1065 .  rows - the indices of the rows
1066 .  cmap - the column mapping from local to global numbering
1067 .  ncols - the number of columns in the matrix
1068 .  cols - the columns indicated
1069 .  dnz - the array that will be passed to the matrix preallocation routines
1070 -  onz - the other array passed to the matrix preallocation routines
1071 
1072    Level: deprecated (since v3.19)
1073 
1074    Notes:
1075    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1076    the use of this routine
1077 
1078    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1079 
1080 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1081           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
1082 M*/
1083 #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1084   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));)
1085 
1086 /*MC
1087    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1088        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
1089 
1090    Synopsis:
1091    #include <petscmat.h>
1092    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1093 
1094    Not Collective
1095 
1096    Input Parameters:
1097 +  map - the row mapping from local numbering to global numbering
1098 .  nrows - the number of rows indicated
1099 .  rows - the indices of the rows (these values are mapped to the global values)
1100 .  cmap - the column mapping from local to global numbering
1101 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1102 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1103 .  dnz - the array that will be passed to the matrix preallocation routines
1104 -  onz - the other array passed to the matrix preallocation routines
1105 
1106    Level: deprecated (since v3.19)
1107 
1108    Notes:
1109    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1110    the use of this routine
1111 
1112    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1113 
1114 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1115           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1116 M*/
1117 #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1118   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));)
1119 
1120 /*MC
1121    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1122        inserted using a local number of the rows and columns
1123 
1124    Synopsis:
1125    #include <petscmat.h>
1126    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1127 
1128    Not Collective
1129 
1130    Input Parameters:
1131 +  map - the row mapping from local numbering to global numbering
1132 .  nrows - the number of rows indicated
1133 .  rows - the indices of the rows
1134 .  cmap - the column mapping from local to global numbering
1135 .  ncols - the number of columns in the matrix
1136 .  cols - the columns indicated
1137 .  dnz - the array that will be passed to the matrix preallocation routines
1138 -  onz - the other array passed to the matrix preallocation routines
1139 
1140    Level: deprecated (since v3.19)
1141 
1142    Notes:
1143    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1144    the use of this routine
1145 
1146    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1147 
1148 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1149           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1150 M*/
1151 #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1152   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));)
1153 
1154 /*MC
1155    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1156        inserted using a local number of the rows and columns
1157 
1158    Synopsis:
1159    #include <petscmat.h>
1160    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1161 
1162    Not Collective
1163 
1164    Input Parameters:
1165 +  map - the mapping between local numbering and global numbering
1166 .  nrows - the number of rows indicated
1167 .  rows - the indices of the rows
1168 .  ncols - the number of columns in the matrix
1169 .  cols - the columns indicated
1170 .  dnz - the array that will be passed to the matrix preallocation routines
1171 -  onz - the other array passed to the matrix preallocation routines
1172 
1173    Level: deprecated (since v3.19)
1174 
1175    Notes:
1176    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1177    the use of this routine
1178 
1179    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1180 
1181 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`
1182           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1183 M*/
1184 #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1185   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));)
1186 
1187 /*MC
1188    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1189        inserted using a local number of the rows and columns
1190 
1191    Synopsis:
1192    #include <petscmat.h>
1193    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1194 
1195    Not Collective
1196 
1197    Input Parameters:
1198 +  row - the row
1199 .  ncols - the number of columns in the matrix
1200 -  cols - the columns indicated
1201 
1202    Output Parameters:
1203 +  dnz - the array that will be passed to the matrix preallocation routines
1204 -  onz - the other array passed to the matrix preallocation routines
1205 
1206    Level: deprecated (since v3.19)
1207 
1208    Notes:
1209    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1210    the use of this routine
1211 
1212    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1213 
1214    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1215 
1216 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1217           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1218 M*/
1219 #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1220   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) { \
1221     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1222     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1223   })
1224 
1225 /*MC
1226    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1227        inserted using a local number of the rows and columns
1228 
1229    Synopsis:
1230    #include <petscmat.h>
1231    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1232 
1233    Not Collective
1234 
1235    Input Parameters:
1236 +  nrows - the number of rows indicated
1237 .  rows - the indices of the rows
1238 .  ncols - the number of columns in the matrix
1239 .  cols - the columns indicated
1240 .  dnz - the array that will be passed to the matrix preallocation routines
1241 -  onz - the other array passed to the matrix preallocation routines
1242 
1243    Level: deprecated (since v3.19)
1244 
1245    Notes:
1246    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1247    the use of this routine
1248 
1249    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1250 
1251    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1252 
1253 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1254           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1255 M*/
1256 #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1257   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
1258     if (cols[__i] >= __end) onz[row - __rstart]++; \
1259     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1260   })
1261 
1262 /*MC
1263    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1264 
1265    Synopsis:
1266    #include <petscmat.h>
1267    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1268 
1269    Not Collective
1270 
1271    Input Parameters:
1272 +  A - matrix
1273 .  row - row where values exist (must be local to this process)
1274 .  ncols - number of columns
1275 .  cols - columns with nonzeros
1276 .  dnz - the array that will be passed to the matrix preallocation routines
1277 -  onz - the other array passed to the matrix preallocation routines
1278 
1279    Level: deprecated (since v3.19)
1280 
1281    Notes:
1282    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1283    the use of this routine
1284 
1285    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1286 
1287   This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
1288 
1289 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1290           `MatPreallocateSymmetricSetLocalBlock()`
1291 M*/
1292 #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))
1293 
1294 /*MC
1295    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1296        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1297 
1298    Synopsis:
1299    #include <petscmat.h>
1300    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)
1301 
1302    Collective
1303 
1304    Input Parameters:
1305 +  dnz - the array that was be passed to the matrix preallocation routines
1306 -  onz - the other array passed to the matrix preallocation routines
1307 
1308    Level: deprecated (since v3.19)
1309 
1310    Notes:
1311    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1312    the use of this routine
1313 
1314    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1315 
1316    Developer Note:
1317     This is a MACRO not a function because it closes the { started in MatPreallocateBegin().
1318 
1319 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1320           `MatPreallocateSymmetricSetLocalBlock()`
1321 M*/
1322 #define MatPreallocateEnd(dnz, onz) \
1323   PetscCall(PetscFree2(dnz, onz)); \
1324   } \
1325   while (0)
1326 
1327 #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateEnd()", ) MatPreallocateEnd(__VA_ARGS__)
1328 
1329 /* Routines unique to particular data structures */
1330 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, void *);
1331 
1332 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1333 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);
1334 
1335 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1336 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1337 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1338 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1339 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1340 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscInt, PetscBool);
1341 
1342 #define MAT_SKIP_ALLOCATION -4
1343 
1344 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1345 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1346 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1347 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);
1348 
1349 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1350 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1351 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1352 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1353 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1354 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1355 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1356 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1357 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1358 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1359 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1360 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1361 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1362 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1363 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);
1364 
1365 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1366 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1367 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatDenseSetLDA()", ) static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
1368 {
1369   return MatDenseSetLDA(A, lda);
1370 }
1371 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);
1372 
1373 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1374 
1375 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1376 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1377 
1378 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1379 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1380 /*
1381   These routines are not usually accessed directly, rather solving is
1382   done through the KSP and PC interfaces.
1383 */
1384 
1385 /*J
1386     MatOrderingType - String with the name of a PETSc matrix ordering. These orderings are most commonly used
1387     to reduce fill in sparse factorizations.
1388 
1389    Level: beginner
1390 
1391    Notes:
1392    If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and instead the external factorization solver package called utilizes one
1393    of its own.
1394 
1395    There is no `MatOrdering` object, the ordering is obtained directly from the matrix with `MatGetOrdering()`
1396 
1397    Developer Note:
1398    This API should be converted to an API similar to those for `MatColoring` and `MatPartitioning`
1399 
1400 .seealso: [](ch_matrices), [](sec_graph), `MatGetFactor()`, `MatGetOrdering()`, `MatColoringType`, `MatPartitioningType`, `MatCoarsenType`, `MatCoarsenType`,
1401           `PCFactorSetOrderingType()`
1402 J*/
1403 typedef const char *MatOrderingType;
1404 #define MATORDERINGNATURAL       "natural"
1405 #define MATORDERINGND            "nd"
1406 #define MATORDERING1WD           "1wd"
1407 #define MATORDERINGRCM           "rcm"
1408 #define MATORDERINGQMD           "qmd"
1409 #define MATORDERINGROWLENGTH     "rowlength"
1410 #define MATORDERINGWBM           "wbm"
1411 #define MATORDERINGSPECTRAL      "spectral"
1412 #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1413 #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1414 #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 */
1415 #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */
1416 
1417 PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1418 PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1419 PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1420 PETSC_EXTERN PetscFunctionList MatOrderingList;
1421 
1422 #include "petscmatcoarsen.h"
1423 
1424 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1425 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);
1426 
1427 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);
1428 
1429 /*S
1430     MatFactorShiftType - Type of numeric shift used for factorizations
1431 
1432    Values:
1433 +  `MAT_SHIFT_NONE` - do not shift the matrix diagonal entries
1434 .  `MAT_SHIFT_NONZERO` - shift the entries to be non-zero
1435 .  `MAT_SHIFT_POSITIVE_DEFINITE` - shift the entries to force the factorization to be positive definite
1436 -  `MAT_SHIFT_INBLOCKS` - only shift the factors inside the small dense diagonal blocks of the matrix, for example with `MATBAIJ`
1437 
1438    Level: intermediate
1439 
1440 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `PCFactorSetShiftType()`
1441 S*/
1442 typedef enum {
1443   MAT_SHIFT_NONE,
1444   MAT_SHIFT_NONZERO,
1445   MAT_SHIFT_POSITIVE_DEFINITE,
1446   MAT_SHIFT_INBLOCKS
1447 } MatFactorShiftType;
1448 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1449 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1450 
1451 /*S
1452     MatFactorError - indicates what type of error was generated in a matrix factorization
1453 
1454     Values:
1455 +   `MAT_FACTOR_NOERROR` - there was no error during the factorization
1456 .   `MAT_FACTOR_STRUCT_ZEROPIVOT` - there was a missing entry in a diagonal location of the matrix
1457 .   `MAT_FACTOR_NUMERIC_ZEROPIVOT` - there was a (near) zero pivot during the factorization
1458 .   `MAT_FACTOR_OUTMEMORY` - the factorization has run out of memory
1459 -   `MAT_FACTOR_OTHER` - some other error has occurred.
1460 
1461     Level: intermediate
1462 
1463     Note:
1464     When a factorization is done in a preconditioner `PC` the error may be propagated up to a `PCFailedReason` or a `KSPConvergedReason`
1465 
1466 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `MatFactorGetError()`, `MatFactorGetErrorZeroPivot()`, `MatFactorClearError()`,
1467           `PCFailedReason`, `PCGetFailedReason()`, `KSPConvergedReason`
1468 S*/
1469 typedef enum {
1470   MAT_FACTOR_NOERROR,
1471   MAT_FACTOR_STRUCT_ZEROPIVOT,
1472   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1473   MAT_FACTOR_OUTMEMORY,
1474   MAT_FACTOR_OTHER
1475 } MatFactorError;
1476 
1477 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1478 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1479 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);
1480 
1481 /*S
1482    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1483 
1484    Level: developer
1485 
1486    Note:
1487    You can use `MatFactorInfoInitialize()` to set default values.
1488 
1489    Fortran Note:
1490    The data is available in a double precision arrays of size `MAT_FACTORINFO_SIZE`
1491 
1492 .seealso: [](ch_matrices), `Mat`, `MatInfo`, `MatGetFactor()`, `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`,
1493           `MatICCFactorSymbolic()`, `MatICCFactor()`, `MatFactorInfoInitialize()`
1494 S*/
1495 typedef struct {
1496   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1497   PetscReal usedt;
1498   PetscReal dt;            /* drop tolerance */
1499   PetscReal dtcol;         /* tolerance for pivoting */
1500   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1501   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1502   PetscReal levels;        /* ICC/ILU(levels) */
1503   PetscReal pivotinblocks; /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1504                                    factorization may be faster if do not pivot */
1505   PetscReal zeropivot;     /* pivot is called zero if less than this */
1506   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1507   PetscReal shiftamount;   /* how large the shift is */
1508 } MatFactorInfo;
1509 
1510 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1511 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1512 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1513 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1514 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1515 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1516 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1517 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1518 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1519 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1520 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1521 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1522 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1523 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1524 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1525 PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1526 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1527 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1528 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1529 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1530 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1531 PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1532 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1533 
1534 typedef enum {
1535   MAT_FACTOR_SCHUR_UNFACTORED,
1536   MAT_FACTOR_SCHUR_FACTORED,
1537   MAT_FACTOR_SCHUR_INVERTED
1538 } MatFactorSchurStatus;
1539 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1540 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1541 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1542 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1543 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1544 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1545 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1546 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1547 
1548 PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1549 /*E
1550     MatSORType - What type of (S)SOR to perform
1551 
1552    Values:
1553 +  `SOR_FORWARD_SWEEP` - do a sweep from the first row of the matrix to the last
1554 .  `SOR_BACKWARD_SWEEP` -  do a sweep from the last row to the first
1555 .  `SOR_SYMMETRIC_SWEEP` - do a sweep from the first row to the last and then back to the first
1556 .  `SOR_LOCAL_FORWARD_SWEEP` - each MPI rank does its own forward sweep with no communication
1557 .  `SOR_LOCAL_BACKWARD_SWEEP` - each MPI rank does its own backward sweep with no communication
1558 .  `SOR_LOCAL_SYMMETRIC_SWEEP` - each MPI rank does its own symmetric sweep with no communication
1559 .  `SOR_ZERO_INITIAL_GUESS` - indicates the initial solution is zero so the sweep can avoid unneeded computation
1560 .  `SOR_EISENSTAT` - apply the Eisentat application of SOR, see `PCEISENSTAT`
1561 .  `SOR_APPLY_UPPER` - multiply by the upper triangular portion of the matrix
1562 -  `SOR_APPLY_LOWER` - multiply by the lower triangular portion of the matrix
1563 
1564     Level: beginner
1565 
1566    Note:
1567    These may be bitwise ORd together
1568 
1569    Developer Note:
1570    Since `MatSORType` may be bitwise ORd together, so do not change the numerical values below
1571 
1572 .seealso: [](ch_matrices), `MatSOR()`
1573 E*/
1574 typedef enum {
1575   SOR_FORWARD_SWEEP         = 1,
1576   SOR_BACKWARD_SWEEP        = 2,
1577   SOR_SYMMETRIC_SWEEP       = 3,
1578   SOR_LOCAL_FORWARD_SWEEP   = 4,
1579   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1580   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1581   SOR_ZERO_INITIAL_GUESS    = 16,
1582   SOR_EISENSTAT             = 32,
1583   SOR_APPLY_UPPER           = 64,
1584   SOR_APPLY_LOWER           = 128
1585 } MatSORType;
1586 PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);
1587 
1588 /*S
1589      MatColoring - Object for managing the coloring of matrices.
1590 
1591    Level: beginner
1592 
1593    Notes:
1594    Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1595    matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).
1596 
1597    Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1598    same object can also be used to efficiently convert data created by Automatic Differentiation tools to PETSc sparse matrices.
1599 
1600 .seealso: [](ch_matrices), [](sec_graph), `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`,
1601           `MatPartitioning`, `MatColoringType`, `MatPartitioningType`, `MatOrderingType`, `MatColoringSetWeightType()`,
1602           `MatColoringSetWeights()`, `MatCoarsenType`, `MatCoarsen`
1603 S*/
1604 typedef struct _p_MatColoring *MatColoring;
1605 
1606 /*J
1607     MatColoringType - String with the name of a PETSc matrix coloring
1608 
1609    Level: beginner
1610 
1611 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatFDColoringCreate()`, `MatColoringSetType()`, `MatColoring`
1612 J*/
1613 typedef const char *MatColoringType;
1614 #define MATCOLORINGJP      "jp"
1615 #define MATCOLORINGPOWER   "power"
1616 #define MATCOLORINGNATURAL "natural"
1617 #define MATCOLORINGSL      "sl"
1618 #define MATCOLORINGLF      "lf"
1619 #define MATCOLORINGID      "id"
1620 #define MATCOLORINGGREEDY  "greedy"
1621 
1622 /*E
1623    MatColoringWeightType - Type of weight scheme used for the coloring algorithm
1624 
1625     Values:
1626 +   `MAT_COLORING_RANDOM`  - Random weights
1627 .   `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1628 -   `MAT_COLORING_LF`      - Last-first weighting.
1629 
1630     Level: intermediate
1631 
1632 .seealso: [](ch_matrices), `MatColoring`, `MatColoringCreate()`, `MatColoringSetWeightType()`, `MatColoringSetWeights()`
1633 E*/
1634 typedef enum {
1635   MAT_COLORING_WEIGHT_RANDOM,
1636   MAT_COLORING_WEIGHT_LEXICAL,
1637   MAT_COLORING_WEIGHT_LF,
1638   MAT_COLORING_WEIGHT_SL
1639 } MatColoringWeightType;
1640 
1641 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1642 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1643 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1644 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1645 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1646 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1647 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1648 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1649 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1650 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1651 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1652 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1653 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1654 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1655 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1656 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1657 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1658 PETSC_DEPRECATED_FUNCTION(3, 10, 0, "MatColoringTest()", ) static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
1659 {
1660   return MatColoringTest(matcoloring, iscoloring);
1661 }
1662 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);
1663 
1664 /*S
1665      MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring
1666 
1667    Level: beginner
1668 
1669    Notes:
1670    This object is creating utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`
1671 
1672    The `SNES` option `-snes_fd_coloring` will cause the Jacobian needed by `SNES` to be computed via a use of this object
1673 
1674 .seealso: [](ch_matrices), `Mat`, `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1675 S*/
1676 typedef struct _p_MatFDColoring *MatFDColoring;
1677 
1678 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1679 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1680 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1681 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, PetscErrorCode (*)(void), void *);
1682 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, PetscErrorCode (**)(void), void **);
1683 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1684 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1685 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1686 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1687 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1688 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1689 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1690 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);
1691 
1692 /*S
1693      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1694 
1695    Level: developer
1696 
1697 .seealso: [](ch_matrices), `Mat`, `MatProductType`, `MatTransposeColoringCreate()`
1698 S*/
1699 typedef struct _p_MatTransposeColoring *MatTransposeColoring;
1700 
1701 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1702 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1703 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1704 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);
1705 
1706 /*S
1707      MatPartitioning - Object for managing the partitioning of a matrix or graph
1708 
1709    Level: beginner
1710 
1711    Note:
1712      There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1713      via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)
1714 
1715    Developers Note:
1716      It is an extra maintenance and documentation cost to have two objects with the same functionality. `PetscPartitioner` should be removed
1717 
1718 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`, `MatOrderingType`,
1719           `MatCoarsenType`, `MatCoarsenType`
1720 S*/
1721 typedef struct _p_MatPartitioning *MatPartitioning;
1722 
1723 /*J
1724     MatPartitioningType - String with the name of a PETSc matrix partitioning
1725 
1726    Level: beginner
1727 dm
1728 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`, `MatColoringType`, `MatOrderingType`,
1729           `MatCoarsenType`, `MatCoarsenType`
1730 J*/
1731 typedef const char *MatPartitioningType;
1732 #define MATPARTITIONINGCURRENT  "current"
1733 #define MATPARTITIONINGAVERAGE  "average"
1734 #define MATPARTITIONINGSQUARE   "square"
1735 #define MATPARTITIONINGPARMETIS "parmetis"
1736 #define MATPARTITIONINGCHACO    "chaco"
1737 #define MATPARTITIONINGPARTY    "party"
1738 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1739 #define MATPARTITIONINGHIERARCH "hierarch"
1740 
1741 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1742 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1743 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1744 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1745 PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1746 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1747 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1748 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1749 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1750 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1751 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1752 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1753 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1754 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1755 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1756 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1757 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1758 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1759 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);
1760 
1761 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1762 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1763 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1764 
1765 typedef enum {
1766   MP_CHACO_MULTILEVEL = 1,
1767   MP_CHACO_SPECTRAL   = 2,
1768   MP_CHACO_LINEAR     = 4,
1769   MP_CHACO_RANDOM     = 5,
1770   MP_CHACO_SCATTERED  = 6
1771 } MPChacoGlobalType;
1772 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1773 typedef enum {
1774   MP_CHACO_KERNIGHAN = 1,
1775   MP_CHACO_NONE      = 2
1776 } MPChacoLocalType;
1777 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1778 typedef enum {
1779   MP_CHACO_LANCZOS = 0,
1780   MP_CHACO_RQI     = 1
1781 } MPChacoEigenType;
1782 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1783 
1784 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1785 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1786 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1787 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1788 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1789 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1790 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1791 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1792 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1793 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1794 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);
1795 
1796 #define MP_PARTY_OPT "opt"
1797 #define MP_PARTY_LIN "lin"
1798 #define MP_PARTY_SCA "sca"
1799 #define MP_PARTY_RAN "ran"
1800 #define MP_PARTY_GBF "gbf"
1801 #define MP_PARTY_GCF "gcf"
1802 #define MP_PARTY_BUB "bub"
1803 #define MP_PARTY_DEF "def"
1804 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1805 #define MP_PARTY_HELPFUL_SETS  "hs"
1806 #define MP_PARTY_KERNIGHAN_LIN "kl"
1807 #define MP_PARTY_NONE          "no"
1808 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1809 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1810 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1811 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);
1812 
1813 typedef enum {
1814   MP_PTSCOTCH_DEFAULT,
1815   MP_PTSCOTCH_QUALITY,
1816   MP_PTSCOTCH_SPEED,
1817   MP_PTSCOTCH_BALANCE,
1818   MP_PTSCOTCH_SAFETY,
1819   MP_PTSCOTCH_SCALABILITY
1820 } MPPTScotchStrategyType;
1821 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1822 
1823 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1824 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1825 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1826 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);
1827 
1828 /*
1829  * hierarchical partitioning
1830  */
1831 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1832 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1833 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1834 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1835 
1836 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);
1837 
1838 /*
1839     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1840     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1841 */
1842 typedef enum {
1843   MATOP_SET_VALUES               = 0,
1844   MATOP_GET_ROW                  = 1,
1845   MATOP_RESTORE_ROW              = 2,
1846   MATOP_MULT                     = 3,
1847   MATOP_MULT_ADD                 = 4,
1848   MATOP_MULT_TRANSPOSE           = 5,
1849   MATOP_MULT_TRANSPOSE_ADD       = 6,
1850   MATOP_SOLVE                    = 7,
1851   MATOP_SOLVE_ADD                = 8,
1852   MATOP_SOLVE_TRANSPOSE          = 9,
1853   MATOP_SOLVE_TRANSPOSE_ADD      = 10,
1854   MATOP_LUFACTOR                 = 11,
1855   MATOP_CHOLESKYFACTOR           = 12,
1856   MATOP_SOR                      = 13,
1857   MATOP_TRANSPOSE                = 14,
1858   MATOP_GETINFO                  = 15,
1859   MATOP_EQUAL                    = 16,
1860   MATOP_GET_DIAGONAL             = 17,
1861   MATOP_DIAGONAL_SCALE           = 18,
1862   MATOP_NORM                     = 19,
1863   MATOP_ASSEMBLY_BEGIN           = 20,
1864   MATOP_ASSEMBLY_END             = 21,
1865   MATOP_SET_OPTION               = 22,
1866   MATOP_ZERO_ENTRIES             = 23,
1867   MATOP_ZERO_ROWS                = 24,
1868   MATOP_LUFACTOR_SYMBOLIC        = 25,
1869   MATOP_LUFACTOR_NUMERIC         = 26,
1870   MATOP_CHOLESKY_FACTOR_SYMBOLIC = 27,
1871   MATOP_CHOLESKY_FACTOR_NUMERIC  = 28,
1872   MATOP_SETUP                    = 29,
1873   MATOP_ILUFACTOR_SYMBOLIC       = 30,
1874   MATOP_ICCFACTOR_SYMBOLIC       = 31,
1875   MATOP_GET_DIAGONAL_BLOCK       = 32,
1876   MATOP_SET_INF                  = 33,
1877   MATOP_DUPLICATE                = 34,
1878   MATOP_FORWARD_SOLVE            = 35,
1879   MATOP_BACKWARD_SOLVE           = 36,
1880   MATOP_ILUFACTOR                = 37,
1881   MATOP_ICCFACTOR                = 38,
1882   MATOP_AXPY                     = 39,
1883   MATOP_CREATE_SUBMATRICES       = 40,
1884   MATOP_INCREASE_OVERLAP         = 41,
1885   MATOP_GET_VALUES               = 42,
1886   MATOP_COPY                     = 43,
1887   MATOP_GET_ROW_MAX              = 44,
1888   MATOP_SCALE                    = 45,
1889   MATOP_SHIFT                    = 46,
1890   MATOP_DIAGONAL_SET             = 47,
1891   MATOP_ZERO_ROWS_COLUMNS        = 48,
1892   MATOP_SET_RANDOM               = 49,
1893   MATOP_GET_ROW_IJ               = 50,
1894   MATOP_RESTORE_ROW_IJ           = 51,
1895   MATOP_GET_COLUMN_IJ            = 52,
1896   MATOP_RESTORE_COLUMN_IJ        = 53,
1897   MATOP_FDCOLORING_CREATE        = 54,
1898   MATOP_COLORING_PATCH           = 55,
1899   MATOP_SET_UNFACTORED           = 56,
1900   MATOP_PERMUTE                  = 57,
1901   MATOP_SET_VALUES_BLOCKED       = 58,
1902   MATOP_CREATE_SUBMATRIX         = 59,
1903   MATOP_DESTROY                  = 60,
1904   MATOP_VIEW                     = 61,
1905   MATOP_CONVERT_FROM             = 62,
1906   /* MATOP_PLACEHOLDER_63=63 */
1907   MATOP_MATMAT_MULT_SYMBOLIC    = 64,
1908   MATOP_MATMAT_MULT_NUMERIC     = 65,
1909   MATOP_SET_LOCAL_TO_GLOBAL_MAP = 66,
1910   MATOP_SET_VALUES_LOCAL        = 67,
1911   MATOP_ZERO_ROWS_LOCAL         = 68,
1912   MATOP_GET_ROW_MAX_ABS         = 69,
1913   MATOP_GET_ROW_MIN_ABS         = 70,
1914   MATOP_CONVERT                 = 71,
1915   MATOP_HAS_OPERATION           = 72,
1916   /* MATOP_PLACEHOLDER_73=73, */
1917   MATOP_SET_VALUES_ADIFOR = 74,
1918   MATOP_FD_COLORING_APPLY = 75,
1919   MATOP_SET_FROM_OPTIONS  = 76,
1920   /* MATOP_PLACEHOLDER_77=77, */
1921   /* MATOP_PLACEHOLDER_78=78, */
1922   MATOP_FIND_ZERO_DIAGONALS       = 79,
1923   MATOP_MULT_MULTIPLE             = 80,
1924   MATOP_SOLVE_MULTIPLE            = 81,
1925   MATOP_GET_INERTIA               = 82,
1926   MATOP_LOAD                      = 83,
1927   MATOP_IS_SYMMETRIC              = 84,
1928   MATOP_IS_HERMITIAN              = 85,
1929   MATOP_IS_STRUCTURALLY_SYMMETRIC = 86,
1930   MATOP_SET_VALUES_BLOCKEDLOCAL   = 87,
1931   MATOP_CREATE_VECS               = 88,
1932   /* MATOP_PLACEHOLDER_89=89, */
1933   MATOP_MAT_MULT_SYMBOLIC = 90,
1934   MATOP_MAT_MULT_NUMERIC  = 91,
1935   /* MATOP_PLACEHOLDER_92=92, */
1936   MATOP_PTAP_SYMBOLIC = 93,
1937   MATOP_PTAP_NUMERIC  = 94,
1938   /* MATOP_PLACEHOLDER_95=95, */
1939   MATOP_MAT_TRANSPOSE_MULT_SYMBO = 96,
1940   MATOP_MAT_TRANSPOSE_MULT_NUMER = 97,
1941   MATOP_BIND_TO_CPU              = 98,
1942   MATOP_PRODUCTSETFROMOPTIONS    = 99,
1943   MATOP_PRODUCTSYMBOLIC          = 100,
1944   MATOP_PRODUCTNUMERIC           = 101,
1945   MATOP_CONJUGATE                = 102,
1946   MATOP_VIEW_NATIVE              = 103,
1947   MATOP_SET_VALUES_ROW           = 104,
1948   MATOP_REAL_PART                = 105,
1949   MATOP_IMAGINARY_PART           = 106,
1950   MATOP_GET_ROW_UPPER_TRIANGULAR = 107,
1951   MATOP_RESTORE_ROW_UPPER_TRIANG = 108,
1952   MATOP_MAT_SOLVE                = 109,
1953   MATOP_MAT_SOLVE_TRANSPOSE      = 110,
1954   MATOP_GET_ROW_MIN              = 111,
1955   MATOP_GET_COLUMN_VECTOR        = 112,
1956   MATOP_MISSING_DIAGONAL         = 113,
1957   MATOP_GET_SEQ_NONZERO_STRUCTUR = 114,
1958   MATOP_CREATE                   = 115,
1959   MATOP_GET_GHOSTS               = 116,
1960   MATOP_GET_LOCAL_SUB_MATRIX     = 117,
1961   MATOP_RESTORE_LOCALSUB_MATRIX  = 118,
1962   MATOP_MULT_DIAGONAL_BLOCK      = 119,
1963   MATOP_HERMITIAN_TRANSPOSE      = 120,
1964   MATOP_MULT_HERMITIAN_TRANSPOSE = 121,
1965   MATOP_MULT_HERMITIAN_TRANS_ADD = 122,
1966   MATOP_GET_MULTI_PROC_BLOCK     = 123,
1967   MATOP_FIND_NONZERO_ROWS        = 124,
1968   MATOP_GET_COLUMN_NORMS         = 125,
1969   MATOP_INVERT_BLOCK_DIAGONAL    = 126,
1970   MATOP_INVERT_VBLOCK_DIAGONAL   = 127,
1971   MATOP_CREATE_SUB_MATRICES_MPI  = 128,
1972   MATOP_SET_VALUES_BATCH         = 129,
1973   /* MATOP_PLACEHOLDER_130=130, */
1974   MATOP_TRANSPOSE_MAT_MULT_SYMBO = 131,
1975   MATOP_TRANSPOSE_MAT_MULT_NUMER = 132,
1976   MATOP_TRANSPOSE_COLORING_CREAT = 133,
1977   MATOP_TRANS_COLORING_APPLY_SPT = 134,
1978   MATOP_TRANS_COLORING_APPLY_DEN = 135,
1979   /* MATOP_PLACEHOLDER_136=136, */
1980   MATOP_RART_SYMBOLIC         = 137,
1981   MATOP_RART_NUMERIC          = 138,
1982   MATOP_SET_BLOCK_SIZES       = 139,
1983   MATOP_AYPX                  = 140,
1984   MATOP_RESIDUAL              = 141,
1985   MATOP_FDCOLORING_SETUP      = 142,
1986   MATOP_FIND_OFFBLOCK_ENTRIES = 143,
1987   MATOP_MPICONCATENATESEQ     = 144,
1988   MATOP_DESTROYSUBMATRICES    = 145,
1989   MATOP_TRANSPOSE_SOLVE       = 146,
1990   MATOP_GET_VALUES_LOCAL      = 147
1991 } MatOperation;
1992 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, void (*)(void));
1993 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, void (**)(void));
1994 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
1995 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
1996 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatProductClear()", ) static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
1997 {
1998   return MatProductClear(A);
1999 }
2000 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, void (*)(void));
2001 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, void (**)(void));
2002 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, void *);
2003 PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscErrorCode (*)(void *));
2004 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
2005 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2006 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2007 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
2008 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscErrorCode (*)(void *), MatType, MatType);
2009 PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);
2010 
2011 /*
2012    Codes for matrices stored on disk. By default they are
2013    stored in a universal format. By changing the format with
2014    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
2015    be stored in a way natural for the matrix, for example dense matrices
2016    would be stored as dense. Matrices stored this way may only be
2017    read into matrices of the same type.
2018 */
2019 #define MATRIX_BINARY_FORMAT_DENSE -1
2020 
2021 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);
2022 
2023 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
2024 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
2025 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
2026 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
2027 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
2028 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
2029 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
2030 PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
2031 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION(3, 10, 0, "MatConvert()", ) PetscErrorCode MatISGetMPIXAIJ(Mat, MatReuse, Mat *);
2032 
2033 /*S
2034      MatNullSpace - Object that removes a null space from a vector, i.e.
2035          orthogonalizes the vector to a subspace
2036 
2037    Level: advanced
2038 
2039 .seealso: [](ch_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2040 S*/
2041 typedef struct _p_MatNullSpace *MatNullSpace;
2042 
2043 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
2044 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, PetscErrorCode (*)(MatNullSpace, Vec, void *), void *);
2045 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
2046 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
2047 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
2048 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
2049 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
2050 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
2051 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
2052 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
2053 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
2054 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
2055 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
2056 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);
2057 
2058 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
2059 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
2060 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);
2061 
2062 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
2063 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
2064 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);
2065 
2066 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
2067 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);
2068 
2069 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperator()", ) static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
2070 {
2071   return MatComputeOperator(A, PETSC_NULLPTR, B);
2072 }
2073 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperatorTranspose()", ) static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
2074 {
2075   return MatComputeOperatorTranspose(A, PETSC_NULLPTR, B);
2076 }
2077 
2078 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
2079 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
2080 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
2081 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2082 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
2083 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
2084 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
2085 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2086 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
2087 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
2088 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
2089 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
2090 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
2091 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);
2092 
2093 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);
2094 
2095 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2096 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
2097 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, PetscErrorCode (*)(void *, Vec, Vec), void *);
2098 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, PetscErrorCode (*)(void *, PetscInt, Vec, PetscScalar *));
2099 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, PetscErrorCode (*)(void *, Vec));
2100 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
2101 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
2102 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
2103 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
2104 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
2105 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
2106 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
2107 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, PetscErrorCode (*)(void *, Vec, Vec, PetscScalar *), void *);
2108 
2109 /*S
2110     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2111               Jacobian vector products
2112 
2113     Level: developer
2114 
2115     Notes:
2116     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure
2117 
2118      MatMFFD*() methods actually take the `Mat` as their first argument. Not a `MatMFFD` data structure
2119 
2120     This functionality is often obtained using `MatCreateSNESMF()` or with `SNES` solvers using `-snes_mf` or `-snes_mf_operator`
2121 
2122 .seealso: [](ch_matrices), `MatMFFDType`, `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`,
2123           `MatCreateSNESMF()`, `SNES`, `-snes_mf`, `-snes_mf_operator`
2124 S*/
2125 typedef struct _p_MatMFFD *MatMFFD;
2126 
2127 /*J
2128     MatMFFDType - algorithm used to compute the `h` used in computing matrix-vector products via differencing of a function
2129 
2130    Values:
2131 +   `MATMFFD_DS` - an algorithm described by Dennis and Schnabel
2132 -   `MATMFFD_WP` - the Walker-Pernice strategy.
2133 
2134    Level: beginner
2135 
2136 .seealso: [](ch_matrices), `MatMFFDSetType()`, `MatMFFDRegister()`, `MatMFFDSetFunction()`, `MatCreateMFFD()`
2137 J*/
2138 typedef const char *MatMFFDType;
2139 #define MATMFFD_DS "ds"
2140 #define MATMFFD_WP "wp"
2141 
2142 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2143 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));
2144 
2145 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2146 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);
2147 
2148 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);
2149 
2150 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2151 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
2152 
2153 #ifdef PETSC_HAVE_H2OPUS
2154 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatH2OpusKernel)(PetscInt, PetscReal[], PetscReal[], void *);
2155 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernel, void *, PetscReal, PetscInt, PetscInt, Mat *);
2156 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2157 PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2158 PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
2159 PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat, PetscReal);
2160 PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat, PetscBool);
2161 PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat, PetscBool *);
2162 PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat, IS *);
2163 PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2164 PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2165 #endif
2166 
2167 #ifdef PETSC_HAVE_HTOOL
2168 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatHtoolKernel)(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2169 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernel, void *, Mat *);
2170 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat, MatHtoolKernel, void *);
2171 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat, IS *);
2172 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat, IS *);
2173 PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat, PetscBool);
2174 
2175 /*E
2176      MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`
2177 
2178     Values:
2179 +   `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2180 .   `MAT_HTOOL_COMPRESSOR_FULL_ACA` - full adaptive cross approximation
2181 -   `MAT_HTOOL_COMPRESSOR_SVD` - singular value decomposition
2182 
2183    Level: intermediate
2184 
2185 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2186 E*/
2187 typedef enum {
2188   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2189   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2190   MAT_HTOOL_COMPRESSOR_SVD
2191 } MatHtoolCompressorType;
2192 
2193 /*E
2194      MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`
2195 
2196     Values:
2197 +   `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default) - axis computed via principle component analysis, split uniformly
2198 .   `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC` - axis computed via principle component analysis, split barycentrically
2199 .   `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR` - axis along the largest extent of the bounding box, split uniformly
2200 -   `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically
2201 
2202    Level: intermediate
2203 
2204     Note:
2205     Higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
2206 
2207 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2208 E*/
2209 typedef enum {
2210   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2211   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2212   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2213   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2214 } MatHtoolClusteringType;
2215 #endif
2216 
2217 #ifdef PETSC_HAVE_MUMPS
2218 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2219 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2220 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2221 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);
2222 
2223 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2224 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2225 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2226 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2227 PETSC_EXTERN PetscErrorCode MatMumpsGetNullPivots(Mat, PetscInt *, PetscInt **);
2228 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2229 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2230 #endif
2231 
2232 #ifdef PETSC_HAVE_MKL_PARDISO
2233 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2234 #endif
2235 
2236 #ifdef PETSC_HAVE_MKL_CPARDISO
2237 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2238 #endif
2239 
2240 #ifdef PETSC_HAVE_SUPERLU
2241 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2242 #endif
2243 
2244 #ifdef PETSC_HAVE_SUPERLU_DIST
2245 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2246 #endif
2247 
2248 #ifdef PETSC_HAVE_STRUMPACK
2249 /*E
2250     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `MATSOLVERSTRUMPACK``
2251 
2252     Values:
2253 +  `MAT_STRUMPACK_NATURAL` - use the current ordering
2254 .  `MAT_STRUMPACK_METIS` - use MeTis to compute an ordering
2255 .  `MAT_STRUMPACK_PARMETIS` - use ParMeTis to compute an ordering
2256 .  `MAT_STRUMPACK_SCOTCH` - use Scotch to compute an ordering
2257 .  `MAT_STRUMPACK_PTSCOTCH` - use parallel Scotch to compute an ordering
2258 -  `MAT_STRUMPACK_RCM` - use an RCM ordering
2259 
2260     Level: intermediate
2261 
2262     Developer Note:
2263     Should be called `MatSTRUMPACKReorderingType`
2264 
2265 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetHSSRelTol()`, `MatSTRUMPACKSetReordering()`
2266 E*/
2267 typedef enum {
2268   MAT_STRUMPACK_NATURAL  = 0,
2269   MAT_STRUMPACK_METIS    = 1,
2270   MAT_STRUMPACK_PARMETIS = 2,
2271   MAT_STRUMPACK_SCOTCH   = 3,
2272   MAT_STRUMPACK_PTSCOTCH = 4,
2273   MAT_STRUMPACK_RCM      = 5
2274 } MatSTRUMPACKReordering;
2275 
2276 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2277 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2278 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat, PetscReal);
2279 PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSTRUMPACKSetHSSRelTol()", ) static inline PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat, PetscReal rtol)
2280 {
2281   return MatSTRUMPACKSetHSSRelTol(mat, rtol);
2282 }
2283 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat, PetscReal);
2284 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat, PetscInt);
2285 PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSTRUMPACKSetHSSMinSepSize()", ) static inline PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat, PetscInt hssminsize)
2286 {
2287   return MatSTRUMPACKSetHSSMinSepSize(mat, hssminsize);
2288 }
2289 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat, PetscInt);
2290 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat, PetscInt);
2291 #endif
2292 
2293 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2294 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2295 PETSC_DEPRECATED_FUNCTION(3, 13, 0, "MatBindToCPU()", ) static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2296 {
2297   return MatBindToCPU(A, flg);
2298 }
2299 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2300 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);
2301 
2302 #ifdef PETSC_HAVE_CUDA
2303 /*E
2304     MatCUSPARSEStorageFormat - indicates the storage format for `MATAIJCUSPARSE` (GPU)
2305     matrices.
2306 
2307     Values:
2308 +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2309 .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2310 -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2311 
2312     Level: intermediate
2313 
2314 .seealso: [](ch_matrices), `MATAIJCUSPARSE`, `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2315 E*/
2316 
2317 typedef enum {
2318   MAT_CUSPARSE_CSR,
2319   MAT_CUSPARSE_ELL,
2320   MAT_CUSPARSE_HYB
2321 } MatCUSPARSEStorageFormat;
2322 
2323 /* these will be strings associated with enumerated type defined above */
2324 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2325 
2326 /*E
2327     MatCUSPARSEFormatOperation - indicates the operation of `MATAIJCUSPARSE` (GPU)
2328     matrices whose operation should use a particular storage format.
2329 
2330     Values:
2331 +   `MAT_CUSPARSE_MULT_DIAG` - sets the storage format for the diagonal matrix in the parallel MatMult
2332 .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the offdiagonal matrix in the parallel MatMult
2333 .   `MAT_CUSPARSE_MULT` - sets the storage format for the entire matrix in the serial (single GPU) MatMult
2334 -   `MAT_CUSPARSE_ALL` - sets the storage format for all `MATAIJCUSPARSE` (GPU) matrices
2335 
2336     Level: intermediate
2337 
2338 .seealso: [](ch_matrices), `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2339 E*/
2340 typedef enum {
2341   MAT_CUSPARSE_MULT_DIAG,
2342   MAT_CUSPARSE_MULT_OFFDIAG,
2343   MAT_CUSPARSE_MULT,
2344   MAT_CUSPARSE_ALL
2345 } MatCUSPARSEFormatOperation;
2346 
2347 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2348 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2349 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2350 PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2351 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2352 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2353 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2354 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2355 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2356 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2357 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2358 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);
2359 
2360 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2361 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2362 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2363 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2364 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2365 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2366 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2367 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2368 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2369 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2370 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2371 PETSC_EXTERN PetscErrorCode MatDenseCUDASetPreallocation(Mat, PetscScalar *);
2372 
2373 PETSC_EXTERN PetscErrorCode MatCreateSeqSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2374 PETSC_EXTERN PetscErrorCode MatCreateSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2375 #endif
2376 
2377 #ifdef PETSC_HAVE_HIP
2378 /*E
2379     MatHIPSPARSEStorageFormat - indicates the storage format for `MATAIJHIPSPARSE` (GPU)
2380     matrices.
2381 
2382     Values:
2383 +   `MAT_HIPSPARSE_CSR` - Compressed Sparse Row
2384 .   `MAT_HIPSPARSE_ELL` - Ellpack
2385 -   `MAT_HIPSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format
2386 
2387     Level: intermediate
2388 
2389 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
2390 E*/
2391 
2392 typedef enum {
2393   MAT_HIPSPARSE_CSR,
2394   MAT_HIPSPARSE_ELL,
2395   MAT_HIPSPARSE_HYB
2396 } MatHIPSPARSEStorageFormat;
2397 
2398 /* these will be strings associated with enumerated type defined above */
2399 PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];
2400 
2401 /*E
2402     MatHIPSPARSEFormatOperation - indicates the operation of `MATAIJHIPSPARSE` (GPU)
2403     matrices whose operation should use a particular storage format.
2404 
2405     Values:
2406 +   `MAT_HIPSPARSE_MULT_DIAG` - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2407 .   `MAT_HIPSPARSE_MULT_OFFDIAG` - sets the storage format for the offdiagonal matrix in the parallel `MatMult()`
2408 .   `MAT_HIPSPARSE_MULT` - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2409 -   `MAT_HIPSPARSE_ALL` - sets the storage format for all HIPSPARSE (GPU) matrices
2410 
2411     Level: intermediate
2412 
2413 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
2414 E*/
2415 typedef enum {
2416   MAT_HIPSPARSE_MULT_DIAG,
2417   MAT_HIPSPARSE_MULT_OFFDIAG,
2418   MAT_HIPSPARSE_MULT,
2419   MAT_HIPSPARSE_ALL
2420 } MatHIPSPARSEFormatOperation;
2421 
2422 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2423 PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2424 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
2425 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
2426 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2427 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2428 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
2429 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
2430 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
2431 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
2432 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
2433 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);
2434 
2435 PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2436 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2437 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
2438 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
2439 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
2440 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
2441 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
2442 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
2443 PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
2444 PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
2445 PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);
2446 PETSC_EXTERN PetscErrorCode MatDenseHIPSetPreallocation(Mat, PetscScalar *);
2447 #endif
2448 
2449 #if defined(PETSC_HAVE_VIENNACL)
2450 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2451 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2452 #endif
2453 
2454 #if defined(PETSC_HAVE_FFTW)
2455 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2456 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2457 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2458 #endif
2459 
2460 #if defined(PETSC_HAVE_SCALAPACK)
2461 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2462 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2463 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2464 #endif
2465 
2466 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2467 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2468 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2469 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2470 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2471 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2472 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2473 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2474 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);
2475 
2476 PETSC_EXTERN PetscErrorCode MatChop(Mat, PetscReal);
2477 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);
2478 
2479 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);
2480 
2481 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);
2482 
2483 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2484 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);
2485 
2486 PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);
2487 
2488 PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, Mat *);
2489 PETSC_EXTERN PetscErrorCode MatEliminateZeros(Mat);
2490 
2491 PETSC_EXTERN PetscErrorCode MatCreateDenseFromVecType(MPI_Comm, VecType, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar *, Mat *);
2492 #endif
2493