xref: /petsc/include/petscmat.h (revision 21e3ffae2f3b73c0bd738cf6d0a809700fc04bb0)
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 .seealso: `MatCreate()`, `MatType`, `MatSetType()`, `MatDestroy()`
18 S*/
19 typedef struct _p_Mat *Mat;
20 
21 /*J
22     MatType - String with the name of a PETSc matrix type
23 
24    Level: beginner
25 
26 .seealso: `MatSetType()`, `Mat`, `MatSolverType`, `MatRegister()`
27 J*/
28 typedef const char *MatType;
29 #define MATSAME                      "same"
30 #define MATMAIJ                      "maij"
31 #define MATSEQMAIJ                   "seqmaij"
32 #define MATMPIMAIJ                   "mpimaij"
33 #define MATKAIJ                      "kaij"
34 #define MATSEQKAIJ                   "seqkaij"
35 #define MATMPIKAIJ                   "mpikaij"
36 #define MATIS                        "is"
37 #define MATAIJ                       "aij"
38 #define MATSEQAIJ                    "seqaij"
39 #define MATMPIAIJ                    "mpiaij"
40 #define MATAIJCRL                    "aijcrl"
41 #define MATSEQAIJCRL                 "seqaijcrl"
42 #define MATMPIAIJCRL                 "mpiaijcrl"
43 #define MATAIJCUSPARSE               "aijcusparse"
44 #define MATSEQAIJCUSPARSE            "seqaijcusparse"
45 #define MATMPIAIJCUSPARSE            "mpiaijcusparse"
46 #define MATAIJHIPSPARSE              "aijhipsparse"
47 #define MATSEQAIJHIPSPARSE           "seqaijhipsparse"
48 #define MATMPIAIJHIPSPARSE           "mpiaijhipsparse"
49 #define MATAIJKOKKOS                 "aijkokkos"
50 #define MATSEQAIJKOKKOS              "seqaijkokkos"
51 #define MATMPIAIJKOKKOS              "mpiaijkokkos"
52 #define MATAIJVIENNACL               "aijviennacl"
53 #define MATSEQAIJVIENNACL            "seqaijviennacl"
54 #define MATMPIAIJVIENNACL            "mpiaijviennacl"
55 #define MATAIJPERM                   "aijperm"
56 #define MATSEQAIJPERM                "seqaijperm"
57 #define MATMPIAIJPERM                "mpiaijperm"
58 #define MATAIJSELL                   "aijsell"
59 #define MATSEQAIJSELL                "seqaijsell"
60 #define MATMPIAIJSELL                "mpiaijsell"
61 #define MATAIJMKL                    "aijmkl"
62 #define MATSEQAIJMKL                 "seqaijmkl"
63 #define MATMPIAIJMKL                 "mpiaijmkl"
64 #define MATBAIJMKL                   "baijmkl"
65 #define MATSEQBAIJMKL                "seqbaijmkl"
66 #define MATMPIBAIJMKL                "mpibaijmkl"
67 #define MATSHELL                     "shell"
68 #define MATCENTERING                 "centering"
69 #define MATDENSE                     "dense"
70 #define MATDENSECUDA                 "densecuda"
71 #define MATDENSEHIP                  "densehip"
72 #define MATSEQDENSE                  "seqdense"
73 #define MATSEQDENSECUDA              "seqdensecuda"
74 #define MATSEQDENSEHIP               "seqdensehip"
75 #define MATMPIDENSE                  "mpidense"
76 #define MATMPIDENSECUDA              "mpidensecuda"
77 #define MATMPIDENSEHIP               "mpidensehip"
78 #define MATELEMENTAL                 "elemental"
79 #define MATSCALAPACK                 "scalapack"
80 #define MATBAIJ                      "baij"
81 #define MATSEQBAIJ                   "seqbaij"
82 #define MATMPIBAIJ                   "mpibaij"
83 #define MATMPIADJ                    "mpiadj"
84 #define MATSBAIJ                     "sbaij"
85 #define MATSEQSBAIJ                  "seqsbaij"
86 #define MATMPISBAIJ                  "mpisbaij"
87 #define MATMFFD                      "mffd"
88 #define MATNORMAL                    "normal"
89 #define MATNORMALHERMITIAN           "normalh"
90 #define MATLRC                       "lrc"
91 #define MATSCATTER                   "scatter"
92 #define MATBLOCKMAT                  "blockmat"
93 #define MATCOMPOSITE                 "composite"
94 #define MATFFT                       "fft"
95 #define MATFFTW                      "fftw"
96 #define MATSEQCUFFT                  "seqcufft"
97 #define MATSEQHIPFFT                 "seqhipfft"
98 #define MATTRANSPOSEMAT              PETSC_DEPRECATED_MACRO("GCC warning \"MATTRANSPOSEMAT macro is deprecated use MATTRANSPOSEVIRTUAL (since version 3.18)\"") "transpose"
99 #define MATTRANSPOSEVIRTUAL          "transpose"
100 #define MATHERMITIANTRANSPOSEVIRTUAL "hermitiantranspose"
101 #define MATSCHURCOMPLEMENT           "schurcomplement"
102 #define MATPYTHON                    "python"
103 #define MATHYPRE                     "hypre"
104 #define MATHYPRESTRUCT               "hyprestruct"
105 #define MATHYPRESSTRUCT              "hypresstruct"
106 #define MATSUBMATRIX                 "submatrix"
107 #define MATLOCALREF                  "localref"
108 #define MATNEST                      "nest"
109 #define MATPREALLOCATOR              "preallocator"
110 #define MATSELL                      "sell"
111 #define MATSEQSELL                   "seqsell"
112 #define MATMPISELL                   "mpisell"
113 #define MATDUMMY                     "dummy"
114 #define MATLMVM                      "lmvm"
115 #define MATLMVMDFP                   "lmvmdfp"
116 #define MATLMVMBFGS                  "lmvmbfgs"
117 #define MATLMVMSR1                   "lmvmsr1"
118 #define MATLMVMBROYDEN               "lmvmbroyden"
119 #define MATLMVMBADBROYDEN            "lmvmbadbroyden"
120 #define MATLMVMSYMBROYDEN            "lmvmsymbroyden"
121 #define MATLMVMSYMBADBROYDEN         "lmvmsymbadbroyden"
122 #define MATLMVMDIAGBROYDEN           "lmvmdiagbroyden"
123 #define MATCONSTANTDIAGONAL          "constantdiagonal"
124 #define MATHTOOL                     "htool"
125 #define MATH2OPUS                    "h2opus"
126 
127 /*J
128     MatSolverType - String with the name of a PETSc matrix solver type.
129 
130     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
131 
132    Level: beginner
133 
134    Notes:  MATSOLVERUMFPACK, MATSOLVERCHOLMOD, MATSOLVERKLU, MATSOLVERSPQR form the SuiteSparse package for which you can use --download-suitesparse
135 
136 .seealso: `MatGetFactor()`, `PCFactorSetMatSolverType()`, `PCFactorGetMatSolverType()`
137 J*/
138 typedef const char *MatSolverType;
139 #define MATSOLVERSUPERLU         "superlu"
140 #define MATSOLVERSUPERLU_DIST    "superlu_dist"
141 #define MATSOLVERSTRUMPACK       "strumpack"
142 #define MATSOLVERUMFPACK         "umfpack"
143 #define MATSOLVERCHOLMOD         "cholmod"
144 #define MATSOLVERKLU             "klu"
145 #define MATSOLVERSPARSEELEMENTAL "sparseelemental"
146 #define MATSOLVERELEMENTAL       "elemental"
147 #define MATSOLVERSCALAPACK       "scalapack"
148 #define MATSOLVERESSL            "essl"
149 #define MATSOLVERLUSOL           "lusol"
150 #define MATSOLVERMUMPS           "mumps"
151 #define MATSOLVERMKL_PARDISO     "mkl_pardiso"
152 #define MATSOLVERMKL_CPARDISO    "mkl_cpardiso"
153 #define MATSOLVERPASTIX          "pastix"
154 #define MATSOLVERMATLAB          "matlab"
155 #define MATSOLVERPETSC           "petsc"
156 #define MATSOLVERBAS             "bas"
157 #define MATSOLVERCUSPARSE        "cusparse"
158 #define MATSOLVERCUSPARSEBAND    "cusparseband"
159 #define MATSOLVERCUDA            "cuda"
160 #define MATSOLVERHIPSPARSE       "hipsparse"
161 #define MATSOLVERHIPSPARSEBAND   "hipsparseband"
162 #define MATSOLVERHIP             "hip"
163 #define MATSOLVERKOKKOS          "kokkos"
164 #define MATSOLVERKOKKOSDEVICE    "kokkosdevice"
165 #define MATSOLVERSPQR            "spqr"
166 
167 /*E
168     MatFactorType - indicates what type of factorization is requested
169 
170     Level: beginner
171 
172    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
173 
174 .seealso: `MatSolverType`, `MatGetFactor()`, `MatGetFactorAvailable()`, `MatSolverTypeRegister()`
175 E*/
176 typedef enum {
177   MAT_FACTOR_NONE,
178   MAT_FACTOR_LU,
179   MAT_FACTOR_CHOLESKY,
180   MAT_FACTOR_ILU,
181   MAT_FACTOR_ICC,
182   MAT_FACTOR_ILUDT,
183   MAT_FACTOR_QR,
184   MAT_FACTOR_NUM_TYPES
185 } MatFactorType;
186 PETSC_EXTERN const char *const MatFactorTypes[];
187 
188 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat, MatSolverType, MatFactorType, Mat *);
189 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat, MatSolverType, MatFactorType, PetscBool *);
190 PETSC_EXTERN PetscErrorCode MatFactorGetCanUseOrdering(Mat, PetscBool *);
191 PETSC_DEPRECATED_FUNCTION("Use MatFactorGetCanUseOrdering() (since version 3.15)") static inline PetscErrorCode MatFactorGetUseOrdering(Mat A, PetscBool *b)
192 {
193   return MatFactorGetCanUseOrdering(A, b);
194 }
195 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat, MatSolverType *);
196 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat, MatFactorType *);
197 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat, MatFactorType);
198 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatSolverFunction)(Mat, MatFactorType, Mat *);
199 PETSC_EXTERN PetscErrorCode            MatSolverTypeRegister(MatSolverType, MatType, MatFactorType, MatSolverFunction);
200 PETSC_EXTERN PetscErrorCode            MatSolverTypeGet(MatSolverType, MatType, MatFactorType, PetscBool *, PetscBool *, MatSolverFunction *);
201 typedef MatSolverType MatSolverPackage PETSC_DEPRECATED_TYPEDEF("Use MatSolverType (since version 3.9)");
202 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeRegister() (since version 3.9)") static inline PetscErrorCode MatSolverPackageRegister(MatSolverType stype, MatType mtype, MatFactorType ftype, MatSolverFunction f)
203 {
204   return MatSolverTypeRegister(stype, mtype, ftype, f);
205 }
206 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeGet() (since version 3.9)") static inline PetscErrorCode MatSolverPackageGet(MatSolverType stype, MatType mtype, MatFactorType ftype, PetscBool *foundmtype, PetscBool *foundstype, MatSolverFunction *f)
207 {
208   return MatSolverTypeGet(stype, mtype, ftype, foundmtype, foundstype, f);
209 }
210 
211 /*E
212     MatProductType - indicates what type of matrix product is requested
213 
214     Level: beginner
215 
216 .seealso: `MatProductSetType()`
217 E*/
218 typedef enum {
219   MATPRODUCT_UNSPECIFIED = 0,
220   MATPRODUCT_AB,
221   MATPRODUCT_AtB,
222   MATPRODUCT_ABt,
223   MATPRODUCT_PtAP,
224   MATPRODUCT_RARt,
225   MATPRODUCT_ABC
226 } MatProductType;
227 PETSC_EXTERN const char *const MatProductTypes[];
228 
229 /*J
230     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
231 
232    Level: beginner
233 
234 .seealso: `MatSetType()`, `Mat`, `MatProductSetAlgorithm()`, `MatProductType`
235 J*/
236 typedef const char *MatProductAlgorithm;
237 #define MATPRODUCTALGORITHMDEFAULT         "default"
238 #define MATPRODUCTALGORITHMSORTED          "sorted"
239 #define MATPRODUCTALGORITHMSCALABLE        "scalable"
240 #define MATPRODUCTALGORITHMSCALABLEFAST    "scalable_fast"
241 #define MATPRODUCTALGORITHMHEAP            "heap"
242 #define MATPRODUCTALGORITHMBHEAP           "btheap"
243 #define MATPRODUCTALGORITHMLLCONDENSED     "llcondensed"
244 #define MATPRODUCTALGORITHMROWMERGE        "rowmerge"
245 #define MATPRODUCTALGORITHMOUTERPRODUCT    "outerproduct"
246 #define MATPRODUCTALGORITHMATB             "at*b"
247 #define MATPRODUCTALGORITHMRAP             "rap"
248 #define MATPRODUCTALGORITHMNONSCALABLE     "nonscalable"
249 #define MATPRODUCTALGORITHMSEQMPI          "seqmpi"
250 #define MATPRODUCTALGORITHMBACKEND         "backend"
251 #define MATPRODUCTALGORITHMOVERLAPPING     "overlapping"
252 #define MATPRODUCTALGORITHMMERGED          "merged"
253 #define MATPRODUCTALGORITHMALLATONCE       "allatonce"
254 #define MATPRODUCTALGORITHMALLATONCEMERGED "allatonce_merged"
255 #define MATPRODUCTALGORITHMALLGATHERV      "allgatherv"
256 #define MATPRODUCTALGORITHMCYCLIC          "cyclic"
257 #if defined(PETSC_HAVE_HYPRE)
258   #define MATPRODUCTALGORITHMHYPRE "hypre"
259 #endif
260 
261 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat, Mat, Mat, Mat *);
262 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat, Mat, Mat, Mat);
263 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat, MatProductType);
264 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat, MatProductAlgorithm);
265 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat, PetscReal);
266 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
267 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
268 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
269 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat, Mat, Mat, Mat);
270 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
271 PETSC_EXTERN PetscErrorCode MatProductView(Mat, PetscViewer);
272 PETSC_EXTERN PetscErrorCode MatProductGetType(Mat, MatProductType *);
273 PETSC_EXTERN PetscErrorCode MatProductGetMats(Mat, Mat *, Mat *, Mat *);
274 
275 /* Logging support */
276 #define MAT_FILE_CLASSID 1211216 /* used to indicate matrices in binary files */
277 PETSC_EXTERN PetscClassId MAT_CLASSID;
278 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
279 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
280 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
281 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
282 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
283 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
284 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
285 
286 /*E
287     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
288      are to be reused to store the new matrix values.
289 
290 $  MAT_INITIAL_MATRIX - create a new matrix
291 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
292 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
293 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
294 
295     Level: beginner
296 
297    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
298 
299 .seealso: `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatDestroyMatrices()`, `MatConvert()`
300 E*/
301 typedef enum {
302   MAT_INITIAL_MATRIX,
303   MAT_REUSE_MATRIX,
304   MAT_IGNORE_MATRIX,
305   MAT_INPLACE_MATRIX
306 } MatReuse;
307 
308 /*E
309     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
310      include the matrix values. Currently it is only used by MatGetSeqNonzeroStructure().
311 
312     Level: beginner
313 
314 .seealso: `MatGetSeqNonzeroStructure()`
315 E*/
316 typedef enum {
317   MAT_DO_NOT_GET_VALUES,
318   MAT_GET_VALUES
319 } MatCreateSubMatrixOption;
320 
321 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
322 
323 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm, Mat *);
324 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat, PetscInt, PetscInt, PetscInt, PetscInt);
325 PETSC_EXTERN PetscErrorCode MatSetType(Mat, MatType);
326 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat, VecType *);
327 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat, VecType);
328 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
329 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat, PetscObject, const char[]);
330 PETSC_EXTERN PetscErrorCode MatRegister(const char[], PetscErrorCode (*)(Mat));
331 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[], const char[], const char[]);
332 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat, const char[]);
333 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefixFactor(Mat, const char[]);
334 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefixFactor(Mat, const char[]);
335 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat, const char[]);
336 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat, const char *[]);
337 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat, PetscBool);
338 
339 PETSC_EXTERN PetscFunctionList MatList;
340 PETSC_EXTERN PetscFunctionList MatColoringList;
341 PETSC_EXTERN PetscFunctionList MatPartitioningList;
342 
343 /*E
344     MatStructure - Indicates if two matrices have the same nonzero structure
345 
346     Level: beginner
347 
348 $  SAME_NONZERO_PATTERN  - the two matrices have identical nonzero patterns
349 $  DIFFERENT_NONZERO_PATTERN - the two matrices may have different nonzero patterns
350 $  SUBSET_NONZERO_PATTERN - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
351 $  UNKNOWN_NONZERO_PATTERN - there is no known relationship between the nonzero patterns. In this case the implementations may try to detect a relationship to optimize the operation
352 
353    Developer Notes:
354      Any additions/changes here MUST also be made in src/mat/f90-mod/petscmat.h
355 
356 .seealso: `MatCopy()`, `MatAXPY()`, `MatAYPX()`
357 E*/
358 typedef enum {
359   DIFFERENT_NONZERO_PATTERN,
360   SUBSET_NONZERO_PATTERN,
361   SAME_NONZERO_PATTERN,
362   UNKNOWN_NONZERO_PATTERN
363 } MatStructure;
364 PETSC_EXTERN const char *const MatStructures[];
365 
366 #if defined                 PETSC_HAVE_MKL_SPARSE
367 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
368 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
369 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
370 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
371 #endif
372 
373 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
374 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
375 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat, PetscInt, const PetscInt[]);
376 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
377 
378 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
379 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
380 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
381 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
382 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
383 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
384 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArray(Mat, const PetscScalar[]);
385 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], PetscInt[], PetscInt[], PetscScalar[], Mat *);
386 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm, Mat, Mat, const PetscInt[], Mat *);
387 
388 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
389 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
390 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
391 
392 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat, PetscCount, PetscInt[], PetscInt[]);
393 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat, PetscCount, PetscInt[], PetscInt[]);
394 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat, const PetscScalar[], InsertMode);
395 
396 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscInt[], Mat *);
397 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
398 
399 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
400 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
401 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
402 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
403 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], const PetscInt[]);
404 
405 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, void *, Mat *);
406 PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm, PetscInt, PetscInt, Mat *);
407 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat, Mat *);
408 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat, Mat *);
409 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat, Mat, Vec, Mat, Mat *);
410 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat, Mat *, Mat *, Vec *, Mat *);
411 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, ISLocalToGlobalMapping, ISLocalToGlobalMapping, Mat *);
412 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
413 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
414 
415 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm, VecScatter, Mat *);
416 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat, VecScatter);
417 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat, VecScatter *);
418 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt *, Mat *);
419 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat, Mat);
420 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
421 typedef enum {
422   MAT_COMPOSITE_MERGE_RIGHT,
423   MAT_COMPOSITE_MERGE_LEFT
424 } MatCompositeMergeType;
425 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat, MatCompositeMergeType);
426 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm, PetscInt, const Mat *, Mat *);
427 typedef enum {
428   MAT_COMPOSITE_ADDITIVE,
429   MAT_COMPOSITE_MULTIPLICATIVE
430 } MatCompositeType;
431 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat, MatCompositeType);
432 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat, MatCompositeType *);
433 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat, MatStructure);
434 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat, MatStructure *);
435 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat, PetscInt *);
436 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat, PetscInt, Mat *);
437 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat, const PetscScalar *);
438 
439 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm, PetscInt, const PetscInt[], MatType, Mat *);
440 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm, PetscInt, const PetscInt[], Mat *);
441 
442 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat, Mat *);
443 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat, Mat *);
444 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat, Mat *);
445 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat, Mat *);
446 PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat, Mat *);
447 PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat, Mat *);
448 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat, IS, IS, Mat *);
449 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat, Mat, IS, IS);
450 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat, IS, IS, Mat *);
451 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar, Mat *);
452 
453 #if defined(PETSC_HAVE_HYPRE)
454 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
455 #endif
456 
457 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat, const char[]);
458 PETSC_EXTERN PetscErrorCode MatPythonGetType(Mat, const char *[]);
459 
460 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
461 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
462 PETSC_EXTERN PetscErrorCode MatDestroy(Mat *);
463 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat, PetscObjectState *);
464 
465 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
466 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
467 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
468 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat, Mat *);
469 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat, PetscScalar *);
470 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat, const PetscScalar **);
471 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat, PetscInt, const PetscInt *, PetscScalar *);
472 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat, Mat);
473 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat, MatReuse, Mat *);
474 
475 /* ------------------------------------------------------------*/
476 PETSC_EXTERN PetscErrorCode MatSetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
477 PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat, IS, IS, const PetscScalar[], InsertMode);
478 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
479 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat, PetscInt, const PetscScalar[]);
480 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat, PetscInt, const PetscScalar[]);
481 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt[], const PetscScalar[]);
482 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat, PetscRandom);
483 
484 /*S
485      MatStencil - Data structure (C struct) for storing information about a single row or
486         column of a matrix as indexed on an associated grid. These are arguments to `MatSetStencil()` and `MatSetBlockStencil()`
487 
488    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).
489    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.
490 
491    For stencil access to vectors see `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`.
492 
493    Fortran usage is different, see `MatSetValuesStencil()` for details.
494 
495    Level: beginner
496 
497 .seealso: `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`
498 S*/
499 typedef struct {
500   PetscInt k, j, i, c;
501 } MatStencil;
502 
503 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
504 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
505 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat, PetscInt, const PetscInt[], const PetscInt[], PetscInt);
506 
507 /*E
508     MatAssemblyType - Indicates if the matrix is now to be used, for example in a solver, or if you plan
509      to continue to add or insert values to it
510 
511     Level: beginner
512 
513 .seealso: `MatAssemblyBegin()`, `MatAssemblyEnd()`
514 E*/
515 typedef enum {
516   MAT_FLUSH_ASSEMBLY = 1,
517   MAT_FINAL_ASSEMBLY = 0
518 } MatAssemblyType;
519 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat, MatAssemblyType);
520 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat, MatAssemblyType);
521 PETSC_EXTERN PetscErrorCode MatAssembled(Mat, PetscBool *);
522 
523 /*E
524     MatOption - Options that may be set for a matrix and its behavior or storage
525 
526     Level: beginner
527 
528    Developer Notes:
529    Entries that are negative need not be called collectively by all processes.
530 
531    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
532 
533    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
534 
535 .seealso: `MatSetOption()`
536 E*/
537 typedef enum {
538   MAT_OPTION_MIN                  = -3,
539   MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
540   MAT_ROW_ORIENTED                = -1,
541   MAT_SYMMETRIC                   = 1,
542   MAT_STRUCTURALLY_SYMMETRIC      = 2,
543   MAT_FORCE_DIAGONAL_ENTRIES      = 3,
544   MAT_IGNORE_OFF_PROC_ENTRIES     = 4,
545   MAT_USE_HASH_TABLE              = 5,
546   MAT_KEEP_NONZERO_PATTERN        = 6,
547   MAT_IGNORE_ZERO_ENTRIES         = 7,
548   MAT_USE_INODES                  = 8,
549   MAT_HERMITIAN                   = 9,
550   MAT_SYMMETRY_ETERNAL            = 10,
551   MAT_NEW_NONZERO_LOCATION_ERR    = 11,
552   MAT_IGNORE_LOWER_TRIANGULAR     = 12,
553   MAT_ERROR_LOWER_TRIANGULAR      = 13,
554   MAT_GETROW_UPPERTRIANGULAR      = 14,
555   MAT_SPD                         = 15,
556   MAT_NO_OFF_PROC_ZERO_ROWS       = 16,
557   MAT_NO_OFF_PROC_ENTRIES         = 17,
558   MAT_NEW_NONZERO_LOCATIONS       = 18,
559   MAT_NEW_NONZERO_ALLOCATION_ERR  = 19,
560   MAT_SUBSET_OFF_PROC_ENTRIES     = 20,
561   MAT_SUBMAT_SINGLEIS             = 21,
562   MAT_STRUCTURE_ONLY              = 22,
563   MAT_SORTED_FULL                 = 23,
564   MAT_FORM_EXPLICIT_TRANSPOSE     = 24,
565   MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
566   MAT_SPD_ETERNAL                 = 26,
567   MAT_OPTION_MAX                  = 27
568 } MatOption;
569 
570 PETSC_EXTERN const char *const *MatOptions;
571 PETSC_EXTERN PetscErrorCode     MatSetOption(Mat, MatOption, PetscBool);
572 PETSC_EXTERN PetscErrorCode     MatGetOption(Mat, MatOption, PetscBool *);
573 PETSC_EXTERN PetscErrorCode     MatPropagateSymmetryOptions(Mat, Mat);
574 PETSC_EXTERN PetscErrorCode     MatGetType(Mat, MatType *);
575 
576 PETSC_EXTERN PetscErrorCode    MatGetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
577 PETSC_EXTERN PetscErrorCode    MatGetRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
578 PETSC_EXTERN PetscErrorCode    MatRestoreRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
579 PETSC_EXTERN PetscErrorCode    MatGetRowUpperTriangular(Mat);
580 PETSC_EXTERN PetscErrorCode    MatRestoreRowUpperTriangular(Mat);
581 PETSC_EXTERN PetscErrorCode    MatGetColumnVector(Mat, Vec, PetscInt);
582 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArray(Mat, PetscScalar *[]);
583 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayRead(Mat, const PetscScalar *[]);
584 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayWrite(Mat, PetscScalar *[]);
585 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArray(Mat, PetscScalar *[]);
586 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayRead(Mat, const PetscScalar *[]);
587 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayWrite(Mat, PetscScalar *[]);
588 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetMaxRowNonzeros(Mat, PetscInt *);
589 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetValuesLocalFast(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
590 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetType(Mat, MatType);
591 PETSC_EXTERN PetscErrorCode    MatSeqAIJKron(Mat, Mat, MatReuse, Mat *);
592 PETSC_EXTERN PetscErrorCode    MatSeqAIJRegister(const char[], PetscErrorCode (*)(Mat, MatType, MatReuse, Mat *));
593 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
594 PETSC_EXTERN PetscErrorCode    MatSeqBAIJGetArray(Mat, PetscScalar *[]);
595 PETSC_EXTERN PetscErrorCode    MatSeqBAIJRestoreArray(Mat, PetscScalar *[]);
596 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJGetArray(Mat, PetscScalar *[]);
597 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJRestoreArray(Mat, PetscScalar *[]);
598 PETSC_EXTERN PetscErrorCode    MatDenseGetArray(Mat, PetscScalar *[]);
599 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArray(Mat, PetscScalar *[]);
600 PETSC_EXTERN PetscErrorCode    MatDensePlaceArray(Mat, const PetscScalar[]);
601 PETSC_EXTERN PetscErrorCode    MatDenseReplaceArray(Mat, const PetscScalar[]);
602 PETSC_EXTERN PetscErrorCode    MatDenseResetArray(Mat);
603 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayRead(Mat, const PetscScalar *[]);
604 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayRead(Mat, const PetscScalar *[]);
605 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWrite(Mat, PetscScalar *[]);
606 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWrite(Mat, PetscScalar *[]);
607 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayAndMemType(Mat, PetscScalar *[], PetscMemType *);
608 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayAndMemType(Mat, PetscScalar *[]);
609 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayReadAndMemType(Mat, const PetscScalar *[], PetscMemType *);
610 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayReadAndMemType(Mat, const PetscScalar *[]);
611 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWriteAndMemType(Mat, PetscScalar *[], PetscMemType *);
612 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWriteAndMemType(Mat, PetscScalar *[]);
613 PETSC_EXTERN PetscErrorCode    MatGetBlockSize(Mat, PetscInt *);
614 PETSC_EXTERN PetscErrorCode    MatSetBlockSize(Mat, PetscInt);
615 PETSC_EXTERN PetscErrorCode    MatGetBlockSizes(Mat, PetscInt *, PetscInt *);
616 PETSC_EXTERN PetscErrorCode    MatSetBlockSizes(Mat, PetscInt, PetscInt);
617 PETSC_EXTERN PetscErrorCode    MatSetBlockSizesFromMats(Mat, Mat, Mat);
618 PETSC_EXTERN PetscErrorCode    MatSetVariableBlockSizes(Mat, PetscInt, PetscInt *);
619 PETSC_EXTERN PetscErrorCode    MatGetVariableBlockSizes(Mat, PetscInt *, const PetscInt **);
620 
621 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat, PetscInt, PetscScalar *[]);
622 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat, PetscScalar *[]);
623 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat, PetscInt, Vec *);
624 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat, PetscInt, Vec *);
625 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat, PetscInt, Vec *);
626 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat, PetscInt, Vec *);
627 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat, PetscInt, Vec *);
628 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat, PetscInt, Vec *);
629 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
630 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat, Mat *);
631 
632 PETSC_EXTERN PetscErrorCode MatMult(Mat, Vec, Vec);
633 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat, Vec, Vec);
634 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat, Vec, Vec, Vec);
635 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat, Vec, Vec);
636 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat, Vec, Vec);
637 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat, Mat, PetscReal, PetscBool *);
638 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat, Mat, PetscReal, PetscBool *);
639 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat, Vec, Vec, Vec);
640 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat, Vec, Vec, Vec);
641 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat, Mat, Mat);
642 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat, Mat, Mat);
643 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat, Mat, Mat);
644 PETSC_EXTERN PetscErrorCode MatResidual(Mat, Vec, Vec, Vec);
645 
646 /*E
647     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
648   its numerical values copied over or just its nonzero structure.
649 
650     Level: beginner
651 
652    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
653 
654 $   `MAT_DO_NOT_COPY_VALUES`    - Create a matrix using the same nonzero pattern as the original matrix,
655 $                               with zeros for the numerical values.
656 $   `MAT_COPY_VALUES`           - Create a matrix with the same nonzero pattern as the original matrix
657 $                               and with the same numerical values.
658 $   `MAT_SHARE_NONZERO_PATTERN` - Create a matrix that shares the nonzero structure with the previous matrix
659 $                               and does not copy it, using zeros for the numerical values. The parent and
660 $                               child matrices will share their index (i and j) arrays, and you cannot
661 $                               insert new nonzero entries into either matrix.
662 
663   Note:
664   Many matrix types (including `MATSEQAIJ`) do not support the `MAT_SHARE_NONZERO_PATTERN` optimization; in
665   this case the behavior is as if `MAT_DO_NOT_COPY_VALUES` has been specified.
666 
667 .seealso: `MatDuplicate()`
668 E*/
669 typedef enum {
670   MAT_DO_NOT_COPY_VALUES,
671   MAT_COPY_VALUES,
672   MAT_SHARE_NONZERO_PATTERN
673 } MatDuplicateOption;
674 
675 PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
676 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);
677 
678 PETSC_EXTERN PetscErrorCode MatCopy(Mat, Mat, MatStructure);
679 PETSC_EXTERN PetscErrorCode MatView(Mat, PetscViewer);
680 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat, PetscReal, PetscBool *);
681 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat, PetscBool *);
682 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat, PetscReal, PetscBool *);
683 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat, PetscBool *, PetscBool *);
684 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat, PetscBool *, PetscBool *);
685 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat, PetscBool *, PetscBool *);
686 PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat, PetscBool *, PetscBool *);
687 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat, PetscBool *, PetscInt *);
688 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
689 
690 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
691 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
692 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
693 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
694 
695 /*S
696      MatInfo - Context of matrix information, used with `MatGetInfo()`
697 
698    In Fortran this is simply a double precision array of dimension `MAT_INFO_SIZE`
699 
700    Level: intermediate
701 
702 .seealso: `MatGetInfo()`, `MatInfoType`
703 S*/
704 typedef struct {
705   PetscLogDouble block_size;                          /* block size */
706   PetscLogDouble nz_allocated, nz_used, nz_unneeded;  /* number of nonzeros */
707   PetscLogDouble memory;                              /* memory allocated */
708   PetscLogDouble assemblies;                          /* number of matrix assemblies called */
709   PetscLogDouble mallocs;                             /* number of mallocs during MatSetValues() */
710   PetscLogDouble fill_ratio_given, fill_ratio_needed; /* fill ratio for LU/ILU */
711   PetscLogDouble factor_mallocs;                      /* number of mallocs during factorization */
712 } MatInfo;
713 
714 /*E
715     MatInfoType - Indicates if you want information about the local part of the matrix,
716      the entire parallel matrix or the maximum over all the local parts.
717 
718     Level: beginner
719 
720    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
721 
722 .seealso: `MatGetInfo()`, `MatInfo`
723 E*/
724 typedef enum {
725   MAT_LOCAL      = 1,
726   MAT_GLOBAL_MAX = 2,
727   MAT_GLOBAL_SUM = 3
728 } MatInfoType;
729 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat, MatInfoType, MatInfo *);
730 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat, Vec);
731 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat, Vec, PetscInt[]);
732 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat, Vec, PetscInt[]);
733 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat, Vec, PetscInt[]);
734 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat, Vec, PetscInt[]);
735 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat, Vec);
736 PETSC_EXTERN PetscErrorCode MatTranspose(Mat, MatReuse, Mat *);
737 PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat, Mat *);
738 PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat, Mat);
739 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat, MatReuse, Mat *);
740 PETSC_EXTERN PetscErrorCode MatPermute(Mat, IS, IS, Mat *);
741 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat, Vec, Vec);
742 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat, Vec, InsertMode);
743 
744 PETSC_EXTERN PetscErrorCode MatEqual(Mat, Mat, PetscBool *);
745 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat, Mat, PetscInt, PetscBool *);
746 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat, Mat, PetscInt, PetscBool *);
747 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
748 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
749 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
750 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
751 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
752 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
753 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
754 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
755 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
756 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat, PetscInt, PetscBool *);
757 
758 PETSC_EXTERN PetscErrorCode MatNorm(Mat, NormType, PetscReal *);
759 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat, NormType, PetscReal *);
760 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat, PetscScalar *);
761 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat, PetscReal *);
762 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat, PetscReal *);
763 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat, PetscScalar *);
764 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat, PetscReal *);
765 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat, PetscReal *);
766 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat, PetscInt, PetscReal *);
767 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
768 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
769 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
770 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat, IS, PetscScalar, Vec, Vec);
771 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
772 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
773 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
774 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat, IS, PetscScalar, Vec, Vec);
775 
776 PETSC_EXTERN PetscErrorCode MatGetSize(Mat, PetscInt *, PetscInt *);
777 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat, PetscInt *, PetscInt *);
778 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat, PetscInt *, PetscInt *);
779 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat, const PetscInt **);
780 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat, PetscInt *, PetscInt *);
781 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat, const PetscInt **);
782 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat, IS *, IS *);
783 
784 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
785 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatrices() (since version 3.8)") static inline PetscErrorCode MatGetSubMatrices(Mat mat, PetscInt n, const IS irow[], const IS icol[], MatReuse scall, Mat *submat[])
786 {
787   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
788 }
789 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
790 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatricesMPI() (since version 3.8)") static inline PetscErrorCode MatGetSubMatricesMPI(Mat mat, PetscInt n, const IS irow[], const IS icol[], MatReuse scall, Mat *submat[])
791 {
792   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
793 }
794 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
795 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
796 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
797 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatrix() (since version 3.8)") static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat)
798 {
799   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
800 }
801 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
802 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
803 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
804 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);
805 
806 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm, Mat, PetscInt, PetscInt, MatReuse, Mat *);
807 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm, Mat, PetscInt, PetscInt, Mat *);
808 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat, Mat);
809 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat, MatReuse, Mat *);
810 PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat, Mat *);
811 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
812 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat, MatReuse, IS *, Mat *);
813 PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat, PetscCount *);
814 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat, Mat, MatReuse, IS *, IS *, Mat *);
815 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *, const PetscInt *[]);
816 
817 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
818 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat, PetscInt n, IS is[], PetscInt ov);
819 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);
820 
821 PETSC_EXTERN PetscErrorCode MatMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
822 
823 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
824 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
825 
826 PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
827 PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);
828 
829 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
830 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);
831 
832 PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
833 PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);
834 
835 PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
836 PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);
837 
838 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping, ISLocalToGlobalMapping);
839 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
840 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat, PetscLayout *, PetscLayout *);
841 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat, PetscLayout, PetscLayout);
842 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
843 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
844 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
845 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
846 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
847 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
848 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
849 
850 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
851 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);
852 
853 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat, Vec, Vec);
854 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat, Vec, Vec, Vec);
855 PETSC_EXTERN PetscErrorCode MatRestrict(Mat, Vec, Vec);
856 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat, Mat, Mat *);
857 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat, Mat, Mat, Mat *);
858 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat, Mat, Mat *);
859 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat, Vec *, Vec *);
860 PETSC_DEPRECATED_FUNCTION("Use MatCreateVecs() (since version 3.6)") static inline PetscErrorCode MatGetVecs(Mat mat, Vec *x, Vec *y)
861 {
862   return MatCreateVecs(mat, x, y);
863 }
864 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat, PetscInt, MPI_Comm, MatReuse, Mat *);
865 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat, MPI_Comm, MatReuse, Mat *);
866 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat, IS *);
867 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat, IS *);
868 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm, Mat, PetscInt, MatReuse, Mat *);
869 
870 /*MC
871    MatSetValue - Set a single entry into a matrix.
872 
873    Not collective
874 
875    Synopsis:
876      #include <petscmat.h>
877      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
878 
879    Input Parameters:
880 +  m - the matrix
881 .  row - the row location of the entry
882 .  col - the column location of the entry
883 .  value - the value to insert
884 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
885 
886    Notes:
887    For efficiency one should use `MatSetValues()` and set several values simultaneously.
888 
889    Level: beginner
890 
891 .seealso: `MatGetValue()`, `MatSetValues()`, `MatSetValueLocal()`, `MatSetValuesLocal()`
892 M*/
893 static inline PetscErrorCode MatSetValue(Mat v, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
894 {
895   return MatSetValues(v, 1, &i, 1, &j, &va, mode);
896 }
897 
898 /*@C
899    MatGetValue - Gets a single value from a matrix
900 
901    Not Collective; can only return a value owned by the given process
902 
903    Input Parameters:
904 +  mat - the matrix
905 .  row - the row location of the entry
906 -  col - the column location of the entry
907 
908    Output Parameter:
909 .  va - the value
910 
911    Notes:
912    For efficiency one should use `MatGetValues()` and get several values simultaneously.
913 
914    See notes for `MatGetValues()`.
915 
916    Level: advanced
917 
918 .seealso: `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
919 @*/
920 static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
921 {
922   return MatGetValues(mat, 1, &row, 1, &col, va);
923 }
924 
925 /*MC
926    MatSetValueLocal - Inserts or adds a single value into a matrix,
927    using a local numbering of the nodes.
928 
929    Not Collective
930 
931    Input Parameters:
932 +  m - the matrix
933 .  row - the row location of the entry
934 .  col - the column location of the entry
935 .  value - the value to insert
936 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
937 
938    Notes:
939    For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.
940 
941    See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.
942 
943    Level: intermediate
944 
945 .seealso: `MatSetValue()`, `MatSetValuesLocal()`
946 M*/
947 static inline PetscErrorCode MatSetValueLocal(Mat v, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
948 {
949   return MatSetValuesLocal(v, 1, &i, 1, &j, &va, mode);
950 }
951 
952 /*MC
953    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
954        row in a matrix providing the data that one can use to correctly preallocate the matrix.
955 
956    Synopsis:
957    #include <petscmat.h>
958    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
959 
960    Collective
961 
962    Input Parameters:
963 +  comm - the communicator that will share the eventually allocated matrix
964 .  nrows - the number of LOCAL rows in the matrix
965 -  ncols - the number of LOCAL columns in the matrix
966 
967    Output Parameters:
968 +  dnz - the array that will be passed to the matrix preallocation routines
969 -  onz - the other array passed to the matrix preallocation routines
970 
971    Level: intermediate
972 
973    Notes:
974     This is a macro that handles its own error checking, it does not return an error code.
975 
976     See Users-Manual: ch_performance for more details.
977 
978     Do not malloc or free dnz and onz, that is handled internally by these routines
979 
980    Developer Notes:
981     This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
982 
983 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
984           `MatPreallocateSymmetricSetLocalBlock()`
985 M*/
986 #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
987   do { \
988     PetscInt              __nrows = (nrows), __ncols = (ncols), __rstart, __end = 0; \
989     PetscInt PETSC_UNUSED __start; \
990     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
991     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
992     __start = __end - __ncols; \
993     (void)__start; \
994     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
995   __rstart -= __nrows
996 
997 #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateBegin() (since version 3.18)\"") MatPreallocateBegin(__VA_ARGS__)
998 
999 /*MC
1000    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1001        inserted using a local number of the rows and columns
1002 
1003    Synopsis:
1004    #include <petscmat.h>
1005    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1006 
1007    Not Collective
1008 
1009    Input Parameters:
1010 +  map - the row mapping from local numbering to global numbering
1011 .  nrows - the number of rows indicated
1012 .  rows - the indices of the rows
1013 .  cmap - the column mapping from local to global numbering
1014 .  ncols - the number of columns in the matrix
1015 .  cols - the columns indicated
1016 .  dnz - the array that will be passed to the matrix preallocation routines
1017 -  onz - the other array passed to the matrix preallocation routines
1018 
1019    Level: intermediate
1020 
1021    Notes:
1022     See Users-Manual: ch_performance for more details.
1023 
1024    Do not malloc or free dnz and onz, that is handled internally by these routines
1025 
1026 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1027           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
1028 M*/
1029 #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1030   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));)
1031 
1032 /*MC
1033    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1034        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
1035 
1036    Synopsis:
1037    #include <petscmat.h>
1038    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1039 
1040    Not Collective
1041 
1042    Input Parameters:
1043 +  map - the row mapping from local numbering to global numbering
1044 .  nrows - the number of rows indicated
1045 .  rows - the indices of the rows (these values are mapped to the global values)
1046 .  cmap - the column mapping from local to global numbering
1047 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1048 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1049 .  dnz - the array that will be passed to the matrix preallocation routines
1050 -  onz - the other array passed to the matrix preallocation routines
1051 
1052    Level: intermediate
1053 
1054    Notes:
1055     See Users-Manual: ch_performance for more details.
1056 
1057    Do not malloc or free dnz and onz, that is handled internally by these routines
1058 
1059 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1060           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1061 M*/
1062 #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1063   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));)
1064 
1065 /*MC
1066    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1067        inserted using a local number of the rows and columns
1068 
1069    Synopsis:
1070    #include <petscmat.h>
1071    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1072 
1073    Not Collective
1074 
1075    Input Parameters:
1076 +  map - the row mapping from local numbering to global numbering
1077 .  nrows - the number of rows indicated
1078 .  rows - the indices of the rows
1079 .  cmap - the column mapping from local to global numbering
1080 .  ncols - the number of columns in the matrix
1081 .  cols - the columns indicated
1082 .  dnz - the array that will be passed to the matrix preallocation routines
1083 -  onz - the other array passed to the matrix preallocation routines
1084 
1085    Level: intermediate
1086 
1087    Notes:
1088     See Users-Manual: ch_performance for more details.
1089 
1090    Do not malloc or free dnz and onz, that is handled internally by these routines
1091 
1092 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1093           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1094 M*/
1095 #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1096   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));)
1097 
1098 /*MC
1099    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1100        inserted using a local number of the rows and columns
1101 
1102    Synopsis:
1103    #include <petscmat.h>
1104    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1105 
1106    Not Collective
1107 
1108    Input Parameters:
1109 +  map - the mapping between local numbering and global numbering
1110 .  nrows - the number of rows indicated
1111 .  rows - the indices of the rows
1112 .  ncols - the number of columns in the matrix
1113 .  cols - the columns indicated
1114 .  dnz - the array that will be passed to the matrix preallocation routines
1115 -  onz - the other array passed to the matrix preallocation routines
1116 
1117    Level: intermediate
1118 
1119    Notes:
1120     See Users-Manual: ch_performance for more details.
1121 
1122    Do not malloc or free dnz and onz that is handled internally by these routines
1123 
1124 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`
1125           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1126 M*/
1127 #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1128   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));)
1129 
1130 /*MC
1131    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1132        inserted using a local number of the rows and columns
1133 
1134    Synopsis:
1135    #include <petscmat.h>
1136    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1137 
1138    Not Collective
1139 
1140    Input Parameters:
1141 +  row - the row
1142 .  ncols - the number of columns in the matrix
1143 -  cols - the columns indicated
1144 
1145    Output Parameters:
1146 +  dnz - the array that will be passed to the matrix preallocation routines
1147 -  onz - the other array passed to the matrix preallocation routines
1148 
1149    Level: intermediate
1150 
1151    Notes:
1152     See Users-Manual: ch_performance for more details.
1153 
1154    Do not malloc or free dnz and onz that is handled internally by these routines
1155 
1156    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1157 
1158 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1159           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1160 M*/
1161 #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1162   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) { \
1163     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1164     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1165   })
1166 
1167 /*MC
1168    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1169        inserted using a local number of the rows and columns
1170 
1171    Synopsis:
1172    #include <petscmat.h>
1173    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1174 
1175    Not Collective
1176 
1177    Input Parameters:
1178 +  nrows - the number of rows indicated
1179 .  rows - the indices of the rows
1180 .  ncols - the number of columns in the matrix
1181 .  cols - the columns indicated
1182 .  dnz - the array that will be passed to the matrix preallocation routines
1183 -  onz - the other array passed to the matrix preallocation routines
1184 
1185    Level: intermediate
1186 
1187    Notes:
1188     See Users-Manual: ch_performance for more details.
1189 
1190    Do not malloc or free dnz and onz that is handled internally by these routines
1191 
1192    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1193 
1194 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1195           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1196 M*/
1197 #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1198   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
1199     if (cols[__i] >= __end) onz[row - __rstart]++; \
1200     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1201   })
1202 
1203 /*MC
1204    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1205 
1206    Synopsis:
1207    #include <petscmat.h>
1208    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1209 
1210    Not Collective
1211 
1212    Input Parameters:
1213 +  A - matrix
1214 .  row - row where values exist (must be local to this process)
1215 .  ncols - number of columns
1216 .  cols - columns with nonzeros
1217 .  dnz - the array that will be passed to the matrix preallocation routines
1218 -  onz - the other array passed to the matrix preallocation routines
1219 
1220    Level: intermediate
1221 
1222    Notes:
1223     See Users-Manual: ch_performance for more details.
1224 
1225    Do not malloc or free dnz and onz that is handled internally by these routines
1226 
1227    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
1228 
1229 .seealso: `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1230           `MatPreallocateSymmetricSetLocalBlock()`
1231 M*/
1232 #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))
1233 
1234 /*MC
1235    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1236        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1237 
1238    Synopsis:
1239    #include <petscmat.h>
1240    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)
1241 
1242    Collective
1243 
1244    Input Parameters:
1245 +  dnz - the array that was be passed to the matrix preallocation routines
1246 -  onz - the other array passed to the matrix preallocation routines
1247 
1248    Level: intermediate
1249 
1250    Notes:
1251     This is a macro that handles its own error checking, it does not return an error code.
1252 
1253     See Users-Manual: ch_performance for more details.
1254 
1255     Do not malloc or free dnz and onz, that is handled internally by these routines
1256 
1257    Developer Notes:
1258     This is a MACRO not a function because it closes the { started in MatPreallocateBegin().
1259 
1260 .seealso: `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1261           `MatPreallocateSymmetricSetLocalBlock()`
1262 M*/
1263 #define MatPreallocateEnd(dnz, onz) \
1264   PetscCall(PetscFree2(dnz, onz)); \
1265   } \
1266   while (0)
1267 
1268 #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateEnd() (since version 3.18)\"") MatPreallocateEnd(__VA_ARGS__)
1269 
1270 /* Routines unique to particular data structures */
1271 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, void *);
1272 
1273 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1274 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);
1275 
1276 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1277 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1278 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1279 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1280 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1281 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscInt, PetscBool);
1282 
1283 #define MAT_SKIP_ALLOCATION -4
1284 
1285 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1286 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1287 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1288 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);
1289 
1290 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1291 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1292 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1293 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1294 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1295 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1296 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1297 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1298 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1299 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1300 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1301 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1302 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1303 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1304 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);
1305 
1306 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1307 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1308 PETSC_DEPRECATED_FUNCTION("Use MatDenseSetLDA() (since version 3.14)") static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
1309 {
1310   return MatDenseSetLDA(A, lda);
1311 }
1312 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);
1313 
1314 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1315 
1316 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1317 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1318 
1319 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1320 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1321 /*
1322   These routines are not usually accessed directly, rather solving is
1323   done through the KSP and PC interfaces.
1324 */
1325 
1326 /*J
1327     MatOrderingType - String with the name of a PETSc matrix ordering
1328 
1329    Level: beginner
1330 
1331    Notes:
1332       If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and utilizes one built into the factorization package
1333 
1334 .seealso: `MatGetOrdering()`
1335 J*/
1336 typedef const char *MatOrderingType;
1337 #define MATORDERINGNATURAL       "natural"
1338 #define MATORDERINGND            "nd"
1339 #define MATORDERING1WD           "1wd"
1340 #define MATORDERINGRCM           "rcm"
1341 #define MATORDERINGQMD           "qmd"
1342 #define MATORDERINGROWLENGTH     "rowlength"
1343 #define MATORDERINGWBM           "wbm"
1344 #define MATORDERINGSPECTRAL      "spectral"
1345 #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1346 #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1347 #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 */
1348 #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */
1349 
1350 PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1351 PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1352 PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1353 PETSC_EXTERN PetscFunctionList MatOrderingList;
1354 
1355 #include "petscmatcoarsen.h"
1356 
1357 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1358 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);
1359 
1360 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);
1361 
1362 /*S
1363     MatFactorShiftType - Numeric Shift for factorizations
1364 
1365    Level: beginner
1366 
1367 .seealso: `MatGetFactor()`
1368 S*/
1369 typedef enum {
1370   MAT_SHIFT_NONE,
1371   MAT_SHIFT_NONZERO,
1372   MAT_SHIFT_POSITIVE_DEFINITE,
1373   MAT_SHIFT_INBLOCKS
1374 } MatFactorShiftType;
1375 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1376 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1377 
1378 /*S
1379     MatFactorError - indicates what type of error was generated in a matrix factorization
1380 
1381     Level: beginner
1382 
1383     Developer Note:
1384     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1385 
1386 .seealso: `MatGetFactor()`
1387 S*/
1388 typedef enum {
1389   MAT_FACTOR_NOERROR,
1390   MAT_FACTOR_STRUCT_ZEROPIVOT,
1391   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1392   MAT_FACTOR_OUTMEMORY,
1393   MAT_FACTOR_OTHER
1394 } MatFactorError;
1395 
1396 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1397 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1398 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);
1399 
1400 /*S
1401    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1402 
1403    In Fortran these are simply double precision arrays of size `MAT_FACTORINFO_SIZE`, that is use
1404 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1405 
1406    Notes:
1407     These are not usually directly used by users, instead use `PC` type of `PCLU`, `PCILU`, `PCCHOLESKY` or `PCICC`.
1408 
1409       You can use `MatFactorInfoInitialize()` to set default values.
1410 
1411    Level: developer
1412 
1413 .seealso: `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`, `MatICCFactorSymbolic()`, `MatICCFactor()`,
1414           `MatFactorInfoInitialize()`
1415 
1416 S*/
1417 typedef struct {
1418   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1419   PetscReal usedt;
1420   PetscReal dt;            /* drop tolerance */
1421   PetscReal dtcol;         /* tolerance for pivoting */
1422   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1423   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1424   PetscReal levels;        /* ICC/ILU(levels) */
1425   PetscReal pivotinblocks; /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1426                                    factorization may be faster if do not pivot */
1427   PetscReal zeropivot;     /* pivot is called zero if less than this */
1428   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1429   PetscReal shiftamount;   /* how large the shift is */
1430 } MatFactorInfo;
1431 
1432 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1433 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1434 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1435 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1436 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1437 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1438 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1439 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1440 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1441 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1442 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1443 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1444 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1445 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1446 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1447 PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1448 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1449 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1450 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1451 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1452 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1453 PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1454 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1455 
1456 typedef enum {
1457   MAT_FACTOR_SCHUR_UNFACTORED,
1458   MAT_FACTOR_SCHUR_FACTORED,
1459   MAT_FACTOR_SCHUR_INVERTED
1460 } MatFactorSchurStatus;
1461 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1462 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1463 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1464 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1465 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1466 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1467 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1468 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1469 
1470 PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1471 /*E
1472     MatSORType - What type of (S)SOR to perform
1473 
1474     Level: beginner
1475 
1476    May be bitwise ORd together
1477 
1478    Developer Notes:
1479    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1480 
1481   `MatSORType` may be bitwise ORd together, so do not change the numerical values
1482 
1483 .seealso: `MatSOR()`
1484 E*/
1485 typedef enum {
1486   SOR_FORWARD_SWEEP         = 1,
1487   SOR_BACKWARD_SWEEP        = 2,
1488   SOR_SYMMETRIC_SWEEP       = 3,
1489   SOR_LOCAL_FORWARD_SWEEP   = 4,
1490   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1491   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1492   SOR_ZERO_INITIAL_GUESS    = 16,
1493   SOR_EISENSTAT             = 32,
1494   SOR_APPLY_UPPER           = 64,
1495   SOR_APPLY_LOWER           = 128
1496 } MatSORType;
1497 PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);
1498 
1499 /*S
1500      MatColoring - Object for managing the coloring of matrices.
1501 
1502    Level: beginner
1503 
1504     Notes:
1505        Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1506        matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).
1507 
1508        Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1509        same object can also be used to efficiently convert data created by Automatic Differentation tools to PETSc sparse matrices.
1510 
1511 .seealso: `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`, `MatOrdering`, `MatPartitioning`, `MatColoringType`
1512 S*/
1513 typedef struct _p_MatColoring *MatColoring;
1514 
1515 /*J
1516     MatColoringType - String with the name of a PETSc matrix coloring
1517 
1518    Level: beginner
1519 
1520 .seealso: `MatColoringSetType()`, `MatColoring`
1521 J*/
1522 typedef const char *MatColoringType;
1523 #define MATCOLORINGJP      "jp"
1524 #define MATCOLORINGPOWER   "power"
1525 #define MATCOLORINGNATURAL "natural"
1526 #define MATCOLORINGSL      "sl"
1527 #define MATCOLORINGLF      "lf"
1528 #define MATCOLORINGID      "id"
1529 #define MATCOLORINGGREEDY  "greedy"
1530 
1531 /*E
1532    MatColoringWeightType - Type of weight scheme
1533 
1534     Not Collective
1535 
1536 +   `MAT_COLORING_RANDOM`  - Random weights
1537 .   `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1538 -   `MAT_COLORING_LF`      - Last-first weighting.
1539 
1540     Level: intermediate
1541 
1542    Developer Note:
1543    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1544 
1545 .seealso: `MatColoring`, `MatColoringCreate()`
1546 E*/
1547 typedef enum {
1548   MAT_COLORING_WEIGHT_RANDOM,
1549   MAT_COLORING_WEIGHT_LEXICAL,
1550   MAT_COLORING_WEIGHT_LF,
1551   MAT_COLORING_WEIGHT_SL
1552 } MatColoringWeightType;
1553 
1554 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1555 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1556 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1557 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1558 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1559 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1560 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1561 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1562 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1563 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1564 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1565 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1566 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1567 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1568 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1569 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1570 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1571 PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
1572 {
1573   return MatColoringTest(matcoloring, iscoloring);
1574 }
1575 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);
1576 
1577 /*S
1578      MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring
1579 
1580    Level: beginner
1581 
1582    Notes:
1583       This object is creating utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`
1584 
1585 .seealso: `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1586 S*/
1587 typedef struct _p_MatFDColoring *MatFDColoring;
1588 
1589 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1590 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1591 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1592 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, PetscErrorCode (*)(void), void *);
1593 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, PetscErrorCode (**)(void), void **);
1594 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1595 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1596 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1597 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1598 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1599 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1600 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1601 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);
1602 
1603 /*S
1604      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1605 
1606    Level: beginner
1607 
1608 .seealso: `MatTransposeColoringCreate()`
1609 S*/
1610 typedef struct _p_MatTransposeColoring *MatTransposeColoring;
1611 
1612 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1613 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1614 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1615 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);
1616 
1617 /*S
1618      MatPartitioning - Object for managing the partitioning of a matrix or graph
1619 
1620    Level: beginner
1621 
1622    Note:
1623      There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1624      via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)
1625 
1626    Developers Note:
1627      It is an extra maintenance and documentation cost to have two objects with the same functionality.
1628 
1629 .seealso: `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`
1630 S*/
1631 typedef struct _p_MatPartitioning *MatPartitioning;
1632 
1633 /*J
1634     MatPartitioningType - String with the name of a PETSc matrix partitioning
1635 
1636    Level: beginner
1637 dm
1638 .seealso: `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`
1639 J*/
1640 typedef const char *MatPartitioningType;
1641 #define MATPARTITIONINGCURRENT  "current"
1642 #define MATPARTITIONINGAVERAGE  "average"
1643 #define MATPARTITIONINGSQUARE   "square"
1644 #define MATPARTITIONINGPARMETIS "parmetis"
1645 #define MATPARTITIONINGCHACO    "chaco"
1646 #define MATPARTITIONINGPARTY    "party"
1647 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1648 #define MATPARTITIONINGHIERARCH "hierarch"
1649 
1650 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1651 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1652 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1653 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1654 PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1655 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1656 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1657 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1658 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1659 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1660 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1661 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1662 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1663 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1664 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1665 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1666 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1667 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1668 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);
1669 
1670 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1671 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1672 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1673 
1674 typedef enum {
1675   MP_CHACO_MULTILEVEL = 1,
1676   MP_CHACO_SPECTRAL   = 2,
1677   MP_CHACO_LINEAR     = 4,
1678   MP_CHACO_RANDOM     = 5,
1679   MP_CHACO_SCATTERED  = 6
1680 } MPChacoGlobalType;
1681 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1682 typedef enum {
1683   MP_CHACO_KERNIGHAN = 1,
1684   MP_CHACO_NONE      = 2
1685 } MPChacoLocalType;
1686 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1687 typedef enum {
1688   MP_CHACO_LANCZOS = 0,
1689   MP_CHACO_RQI     = 1
1690 } MPChacoEigenType;
1691 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1692 
1693 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1694 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1695 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1696 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1697 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1698 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1699 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1700 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1701 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1702 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1703 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);
1704 
1705 #define MP_PARTY_OPT "opt"
1706 #define MP_PARTY_LIN "lin"
1707 #define MP_PARTY_SCA "sca"
1708 #define MP_PARTY_RAN "ran"
1709 #define MP_PARTY_GBF "gbf"
1710 #define MP_PARTY_GCF "gcf"
1711 #define MP_PARTY_BUB "bub"
1712 #define MP_PARTY_DEF "def"
1713 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1714 #define MP_PARTY_HELPFUL_SETS  "hs"
1715 #define MP_PARTY_KERNIGHAN_LIN "kl"
1716 #define MP_PARTY_NONE          "no"
1717 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1718 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1719 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1720 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);
1721 
1722 typedef enum {
1723   MP_PTSCOTCH_DEFAULT,
1724   MP_PTSCOTCH_QUALITY,
1725   MP_PTSCOTCH_SPEED,
1726   MP_PTSCOTCH_BALANCE,
1727   MP_PTSCOTCH_SAFETY,
1728   MP_PTSCOTCH_SCALABILITY
1729 } MPPTScotchStrategyType;
1730 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1731 
1732 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1733 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1734 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1735 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);
1736 
1737 /*
1738  * hierarchical partitioning
1739  */
1740 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1741 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1742 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1743 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1744 
1745 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);
1746 
1747 /*
1748     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1749     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1750 */
1751 typedef enum {
1752   MATOP_SET_VALUES               = 0,
1753   MATOP_GET_ROW                  = 1,
1754   MATOP_RESTORE_ROW              = 2,
1755   MATOP_MULT                     = 3,
1756   MATOP_MULT_ADD                 = 4,
1757   MATOP_MULT_TRANSPOSE           = 5,
1758   MATOP_MULT_TRANSPOSE_ADD       = 6,
1759   MATOP_SOLVE                    = 7,
1760   MATOP_SOLVE_ADD                = 8,
1761   MATOP_SOLVE_TRANSPOSE          = 9,
1762   MATOP_SOLVE_TRANSPOSE_ADD      = 10,
1763   MATOP_LUFACTOR                 = 11,
1764   MATOP_CHOLESKYFACTOR           = 12,
1765   MATOP_SOR                      = 13,
1766   MATOP_TRANSPOSE                = 14,
1767   MATOP_GETINFO                  = 15,
1768   MATOP_EQUAL                    = 16,
1769   MATOP_GET_DIAGONAL             = 17,
1770   MATOP_DIAGONAL_SCALE           = 18,
1771   MATOP_NORM                     = 19,
1772   MATOP_ASSEMBLY_BEGIN           = 20,
1773   MATOP_ASSEMBLY_END             = 21,
1774   MATOP_SET_OPTION               = 22,
1775   MATOP_ZERO_ENTRIES             = 23,
1776   MATOP_ZERO_ROWS                = 24,
1777   MATOP_LUFACTOR_SYMBOLIC        = 25,
1778   MATOP_LUFACTOR_NUMERIC         = 26,
1779   MATOP_CHOLESKY_FACTOR_SYMBOLIC = 27,
1780   MATOP_CHOLESKY_FACTOR_NUMERIC  = 28,
1781   MATOP_SETUP                    = 29,
1782   MATOP_ILUFACTOR_SYMBOLIC       = 30,
1783   MATOP_ICCFACTOR_SYMBOLIC       = 31,
1784   MATOP_GET_DIAGONAL_BLOCK       = 32,
1785   MATOP_SET_INF                  = 33,
1786   MATOP_DUPLICATE                = 34,
1787   MATOP_FORWARD_SOLVE            = 35,
1788   MATOP_BACKWARD_SOLVE           = 36,
1789   MATOP_ILUFACTOR                = 37,
1790   MATOP_ICCFACTOR                = 38,
1791   MATOP_AXPY                     = 39,
1792   MATOP_CREATE_SUBMATRICES       = 40,
1793   MATOP_INCREASE_OVERLAP         = 41,
1794   MATOP_GET_VALUES               = 42,
1795   MATOP_COPY                     = 43,
1796   MATOP_GET_ROW_MAX              = 44,
1797   MATOP_SCALE                    = 45,
1798   MATOP_SHIFT                    = 46,
1799   MATOP_DIAGONAL_SET             = 47,
1800   MATOP_ZERO_ROWS_COLUMNS        = 48,
1801   MATOP_SET_RANDOM               = 49,
1802   MATOP_GET_ROW_IJ               = 50,
1803   MATOP_RESTORE_ROW_IJ           = 51,
1804   MATOP_GET_COLUMN_IJ            = 52,
1805   MATOP_RESTORE_COLUMN_IJ        = 53,
1806   MATOP_FDCOLORING_CREATE        = 54,
1807   MATOP_COLORING_PATCH           = 55,
1808   MATOP_SET_UNFACTORED           = 56,
1809   MATOP_PERMUTE                  = 57,
1810   MATOP_SET_VALUES_BLOCKED       = 58,
1811   MATOP_CREATE_SUBMATRIX         = 59,
1812   MATOP_DESTROY                  = 60,
1813   MATOP_VIEW                     = 61,
1814   MATOP_CONVERT_FROM             = 62,
1815   /* MATOP_PLACEHOLDER_63=63 */
1816   MATOP_MATMAT_MULT_SYMBOLIC    = 64,
1817   MATOP_MATMAT_MULT_NUMERIC     = 65,
1818   MATOP_SET_LOCAL_TO_GLOBAL_MAP = 66,
1819   MATOP_SET_VALUES_LOCAL        = 67,
1820   MATOP_ZERO_ROWS_LOCAL         = 68,
1821   MATOP_GET_ROW_MAX_ABS         = 69,
1822   MATOP_GET_ROW_MIN_ABS         = 70,
1823   MATOP_CONVERT                 = 71,
1824   MATOP_HAS_OPERATION           = 72,
1825   /* MATOP_PLACEHOLDER_73=73, */
1826   MATOP_SET_VALUES_ADIFOR = 74,
1827   MATOP_FD_COLORING_APPLY = 75,
1828   MATOP_SET_FROM_OPTIONS  = 76,
1829   /* MATOP_PLACEHOLDER_77=77, */
1830   /* MATOP_PLACEHOLDER_78=78, */
1831   MATOP_FIND_ZERO_DIAGONALS       = 79,
1832   MATOP_MULT_MULTIPLE             = 80,
1833   MATOP_SOLVE_MULTIPLE            = 81,
1834   MATOP_GET_INERTIA               = 82,
1835   MATOP_LOAD                      = 83,
1836   MATOP_IS_SYMMETRIC              = 84,
1837   MATOP_IS_HERMITIAN              = 85,
1838   MATOP_IS_STRUCTURALLY_SYMMETRIC = 86,
1839   MATOP_SET_VALUES_BLOCKEDLOCAL   = 87,
1840   MATOP_CREATE_VECS               = 88,
1841   /* MATOP_PLACEHOLDER_89=89, */
1842   MATOP_MAT_MULT_SYMBOLIC = 90,
1843   MATOP_MAT_MULT_NUMERIC  = 91,
1844   /* MATOP_PLACEHOLDER_92=92, */
1845   MATOP_PTAP_SYMBOLIC = 93,
1846   MATOP_PTAP_NUMERIC  = 94,
1847   /* MATOP_PLACEHOLDER_95=95, */
1848   MATOP_MAT_TRANSPOSE_MULT_SYMBO = 96,
1849   MATOP_MAT_TRANSPOSE_MULT_NUMER = 97,
1850   MATOP_BIND_TO_CPU              = 98,
1851   MATOP_PRODUCTSETFROMOPTIONS    = 99,
1852   MATOP_PRODUCTSYMBOLIC          = 100,
1853   MATOP_PRODUCTNUMERIC           = 101,
1854   MATOP_CONJUGATE                = 102,
1855   MATOP_VIEW_NATIVE              = 103,
1856   MATOP_SET_VALUES_ROW           = 104,
1857   MATOP_REAL_PART                = 105,
1858   MATOP_IMAGINARY_PART           = 106,
1859   MATOP_GET_ROW_UPPER_TRIANGULAR = 107,
1860   MATOP_RESTORE_ROW_UPPER_TRIANG = 108,
1861   MATOP_MAT_SOLVE                = 109,
1862   MATOP_MAT_SOLVE_TRANSPOSE      = 110,
1863   MATOP_GET_ROW_MIN              = 111,
1864   MATOP_GET_COLUMN_VECTOR        = 112,
1865   MATOP_MISSING_DIAGONAL         = 113,
1866   MATOP_GET_SEQ_NONZERO_STRUCTUR = 114,
1867   MATOP_CREATE                   = 115,
1868   MATOP_GET_GHOSTS               = 116,
1869   MATOP_GET_LOCAL_SUB_MATRIX     = 117,
1870   MATOP_RESTORE_LOCALSUB_MATRIX  = 118,
1871   MATOP_MULT_DIAGONAL_BLOCK      = 119,
1872   MATOP_HERMITIAN_TRANSPOSE      = 120,
1873   MATOP_MULT_HERMITIAN_TRANSPOSE = 121,
1874   MATOP_MULT_HERMITIAN_TRANS_ADD = 122,
1875   MATOP_GET_MULTI_PROC_BLOCK     = 123,
1876   MATOP_FIND_NONZERO_ROWS        = 124,
1877   MATOP_GET_COLUMN_NORMS         = 125,
1878   MATOP_INVERT_BLOCK_DIAGONAL    = 126,
1879   MATOP_INVERT_VBLOCK_DIAGONAL   = 127,
1880   MATOP_CREATE_SUB_MATRICES_MPI  = 128,
1881   MATOP_SET_VALUES_BATCH         = 129,
1882   /* MATOP_PLACEHOLDER_130=130, */
1883   MATOP_TRANSPOSE_MAT_MULT_SYMBO = 131,
1884   MATOP_TRANSPOSE_MAT_MULT_NUMER = 132,
1885   MATOP_TRANSPOSE_COLORING_CREAT = 133,
1886   MATOP_TRANS_COLORING_APPLY_SPT = 134,
1887   MATOP_TRANS_COLORING_APPLY_DEN = 135,
1888   /* MATOP_PLACEHOLDER_136=136, */
1889   MATOP_RART_SYMBOLIC         = 137,
1890   MATOP_RART_NUMERIC          = 138,
1891   MATOP_SET_BLOCK_SIZES       = 139,
1892   MATOP_AYPX                  = 140,
1893   MATOP_RESIDUAL              = 141,
1894   MATOP_FDCOLORING_SETUP      = 142,
1895   MATOP_FIND_OFFBLOCK_ENTRIES = 143,
1896   MATOP_MPICONCATENATESEQ     = 144,
1897   MATOP_DESTROYSUBMATRICES    = 145,
1898   MATOP_TRANSPOSE_SOLVE       = 146,
1899   MATOP_GET_VALUES_LOCAL      = 147
1900 } MatOperation;
1901 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, void (*)(void));
1902 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, void (**)(void));
1903 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
1904 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
1905 PETSC_DEPRECATED_FUNCTION("Use MatProductClear() (since version 3.14)") static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
1906 {
1907   return MatProductClear(A);
1908 }
1909 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, void (*)(void));
1910 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, void (**)(void));
1911 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, void *);
1912 PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscErrorCode (*)(void *));
1913 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
1914 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
1915 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
1916 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1917 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscErrorCode (*)(void *), MatType, MatType);
1918 PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);
1919 
1920 /*
1921    Codes for matrices stored on disk. By default they are
1922    stored in a universal format. By changing the format with
1923    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1924    be stored in a way natural for the matrix, for example dense matrices
1925    would be stored as dense. Matrices stored this way may only be
1926    read into matrices of the same type.
1927 */
1928 #define MATRIX_BINARY_FORMAT_DENSE -1
1929 
1930 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);
1931 
1932 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
1933 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1934 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
1935 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
1936 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
1937 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
1938 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
1939 PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
1940 PETSC_EXTERN                PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat, MatReuse, Mat *);
1941 
1942 /*S
1943      MatNullSpace - Object that removes a null space from a vector, i.e.
1944          orthogonalizes the vector to a subspace
1945 
1946    Level: advanced
1947 
1948 .seealso: `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
1949 S*/
1950 typedef struct _p_MatNullSpace *MatNullSpace;
1951 
1952 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
1953 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, PetscErrorCode (*)(MatNullSpace, Vec, void *), void *);
1954 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
1955 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
1956 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1957 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1958 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
1959 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
1960 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
1961 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
1962 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
1963 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
1964 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
1965 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);
1966 
1967 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
1968 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
1969 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);
1970 
1971 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
1972 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
1973 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);
1974 
1975 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
1976 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);
1977 
1978 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
1979 {
1980   return MatComputeOperator(A, NULL, B);
1981 }
1982 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
1983 {
1984   return MatComputeOperatorTranspose(A, NULL, B);
1985 }
1986 
1987 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
1988 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
1989 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
1990 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
1991 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
1992 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
1993 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
1994 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
1995 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
1996 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
1997 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
1998 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
1999 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
2000 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);
2001 
2002 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);
2003 
2004 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2005 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
2006 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, PetscErrorCode (*)(void *, Vec, Vec), void *);
2007 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, PetscErrorCode (*)(void *, PetscInt, Vec, PetscScalar *));
2008 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, PetscErrorCode (*)(void *, Vec));
2009 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
2010 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
2011 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
2012 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
2013 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
2014 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
2015 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
2016 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, PetscErrorCode (*)(void *, Vec, Vec, PetscScalar *), void *);
2017 
2018 /*S
2019     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2020               Jacobian vector products
2021 
2022     Notes:
2023     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure
2024 
2025     MatMFFD*() methods actually take the Mat as their first argument. Not a `MatMFFD` data structure
2026 
2027     Level: developer
2028 
2029 .seealso: `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`
2030 S*/
2031 typedef struct _p_MatMFFD *MatMFFD;
2032 
2033 /*J
2034     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
2035 
2036    Level: beginner
2037 
2038 .seealso: `MatMFFDSetType()`, `MatMFFDRegister()`
2039 J*/
2040 typedef const char *MatMFFDType;
2041 #define MATMFFD_DS "ds"
2042 #define MATMFFD_WP "wp"
2043 
2044 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2045 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));
2046 
2047 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2048 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);
2049 
2050 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);
2051 
2052 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2053 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
2054 
2055 #ifdef PETSC_HAVE_H2OPUS
2056 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatH2OpusKernel)(PetscInt, PetscReal[], PetscReal[], void *);
2057 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernel, void *, PetscReal, PetscInt, PetscInt, Mat *);
2058 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2059 PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2060 PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
2061 PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat, PetscReal);
2062 PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat, PetscBool);
2063 PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat, PetscBool *);
2064 PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat, IS *);
2065 PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2066 PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2067 #endif
2068 
2069 #ifdef PETSC_HAVE_HTOOL
2070 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatHtoolKernel)(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2071 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernel, void *, Mat *);
2072 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat, MatHtoolKernel, void *);
2073 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat, IS *);
2074 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat, IS *);
2075 PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat, PetscBool);
2076 /*E
2077      MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`
2078 
2079    Level: beginner
2080 
2081     Values:
2082 +   `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2083 .   `MAT_HTOOL_COMPRESSOR_FULL_ACA` - full adaptive cross approximation
2084 -   `MAT_HTOOL_COMPRESSOR_SVD` - singular value decomposition
2085 
2086 .seealso: `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2087 E*/
2088 typedef enum {
2089   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2090   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2091   MAT_HTOOL_COMPRESSOR_SVD
2092 } MatHtoolCompressorType;
2093 /*E
2094      MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`
2095 
2096    Level: beginner
2097 
2098     Values:
2099 +   `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default) - axis computed via principle component analysis, split uniformly
2100 .   `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC` - axis computed via principle component analysis, split barycentrically
2101 .   `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR` - axis along the largest extent of the bounding box, split uniformly
2102 -   `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically
2103 
2104     Notes: higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
2105 
2106 .seealso: `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2107 E*/
2108 typedef enum {
2109   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2110   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2111   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2112   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2113 } MatHtoolClusteringType;
2114 #endif
2115 
2116 #ifdef PETSC_HAVE_MUMPS
2117 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2118 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2119 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2120 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);
2121 
2122 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2123 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2124 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2125 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2126 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2127 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2128 #endif
2129 
2130 #ifdef PETSC_HAVE_MKL_PARDISO
2131 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2132 #endif
2133 
2134 #ifdef PETSC_HAVE_MKL_CPARDISO
2135 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2136 #endif
2137 
2138 #ifdef PETSC_HAVE_SUPERLU
2139 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2140 #endif
2141 
2142 #ifdef PETSC_HAVE_SUPERLU_DIST
2143 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2144 #endif
2145 
2146 #ifdef PETSC_HAVE_STRUMPACK
2147 /*E
2148     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `STRUMPACK`
2149 
2150     Level: intermediate
2151 E*/
2152 typedef enum {
2153   MAT_STRUMPACK_NATURAL  = 0,
2154   MAT_STRUMPACK_METIS    = 1,
2155   MAT_STRUMPACK_PARMETIS = 2,
2156   MAT_STRUMPACK_SCOTCH   = 3,
2157   MAT_STRUMPACK_PTSCOTCH = 4,
2158   MAT_STRUMPACK_RCM      = 5
2159 } MatSTRUMPACKReordering;
2160 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2161 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2162 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat, PetscReal);
2163 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat, PetscReal rtol)
2164 {
2165   return MatSTRUMPACKSetHSSRelTol(mat, rtol);
2166 }
2167 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat, PetscReal);
2168 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat, PetscInt);
2169 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat, PetscInt hssminsize)
2170 {
2171   return MatSTRUMPACKSetHSSMinSepSize(mat, hssminsize);
2172 }
2173 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat, PetscInt);
2174 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat, PetscInt);
2175 #endif
2176 
2177 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2178 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2179 PETSC_DEPRECATED_FUNCTION("Use MatBindToCPU (since v3.13)") static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2180 {
2181   return MatBindToCPU(A, flg);
2182 }
2183 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2184 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);
2185 
2186 typedef struct _n_SplitCSRMat *PetscSplitCSRDataStructure;
2187 PETSC_EXTERN PetscErrorCode    MatCUSPARSEGetDeviceMatWrite(Mat, PetscSplitCSRDataStructure *);
2188 
2189 #ifdef PETSC_HAVE_KOKKOS_KERNELS
2190 PETSC_EXTERN PetscErrorCode MatKokkosGetDeviceMatWrite(Mat, PetscSplitCSRDataStructure *);
2191 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosSetDeviceMat(Mat, PetscSplitCSRDataStructure);
2192 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosGetDeviceMat(Mat, PetscSplitCSRDataStructure *);
2193 #endif
2194 
2195 #ifdef PETSC_HAVE_CUDA
2196 /*E
2197     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
2198     matrices.
2199 
2200     Not Collective
2201 
2202 +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2203 .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2204 -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2205 
2206     Level: intermediate
2207 
2208    Developer Note:
2209    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
2210 
2211 .seealso: `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2212 E*/
2213 
2214 typedef enum {
2215   MAT_CUSPARSE_CSR,
2216   MAT_CUSPARSE_ELL,
2217   MAT_CUSPARSE_HYB
2218 } MatCUSPARSEStorageFormat;
2219 
2220 /* these will be strings associated with enumerated type defined above */
2221 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2222 
2223 /*E
2224     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
2225     matrices whose operation should use a particular storage format.
2226 
2227     Not Collective
2228 
2229 +   `MAT_CUSPARSE_MULT_DIAG` - sets the storage format for the diagonal matrix in the parallel MatMult
2230 .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the offdiagonal matrix in the parallel MatMult
2231 .   `MAT_CUSPARSE_MULT` - sets the storage format for the entire matrix in the serial (single GPU) MatMult
2232 -   `MAT_CUSPARSE_ALL` - sets the storage format for all CUSPARSE (GPU) matrices
2233 
2234     Level: intermediate
2235 
2236 .seealso: `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2237 E*/
2238 typedef enum {
2239   MAT_CUSPARSE_MULT_DIAG,
2240   MAT_CUSPARSE_MULT_OFFDIAG,
2241   MAT_CUSPARSE_MULT,
2242   MAT_CUSPARSE_ALL
2243 } MatCUSPARSEFormatOperation;
2244 
2245 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2246 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2247 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2248 PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2249 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2250 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2251 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2252 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2253 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2254 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2255 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2256 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);
2257 
2258 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2259 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2260 PETSC_EXTERN PetscErrorCode MatMPIDenseCUDASetPreallocation(Mat, PetscScalar[]);
2261 PETSC_EXTERN PetscErrorCode MatSeqDenseCUDASetPreallocation(Mat, PetscScalar[]);
2262 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2263 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2264 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2265 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2266 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2267 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2268 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2269 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2270 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2271 
2272 #endif
2273 
2274 #ifdef PETSC_HAVE_HIP
2275 /*E
2276     MatHIPSPARSEStorageFormat - indicates the storage format for HIPSPARSE (GPU)
2277     matrices.
2278 
2279     Not Collective
2280 
2281 +   MAT_HIPSPARSE_CSR - Compressed Sparse Row
2282 .   MAT_HIPSPARSE_ELL - Ellpack
2283 -   MAT_HIPSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2284 
2285     Level: intermediate
2286 
2287    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
2288 
2289 .seealso: `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
2290 E*/
2291 
2292 typedef enum {
2293   MAT_HIPSPARSE_CSR,
2294   MAT_HIPSPARSE_ELL,
2295   MAT_HIPSPARSE_HYB
2296 } MatHIPSPARSEStorageFormat;
2297 
2298 /* these will be strings associated with enumerated type defined above */
2299 PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];
2300 
2301 /*E
2302     MatHIPSPARSEFormatOperation - indicates the operation of HIPSPARSE (GPU)
2303     matrices whose operation should use a particular storage format.
2304 
2305     Not Collective
2306 
2307 +   MAT_HIPSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
2308 .   MAT_HIPSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
2309 .   MAT_HIPSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
2310 -   MAT_HIPSPARSE_ALL - sets the storage format for all HIPSPARSE (GPU) matrices
2311 
2312     Level: intermediate
2313 
2314 .seealso: `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
2315 E*/
2316 typedef enum {
2317   MAT_HIPSPARSE_MULT_DIAG,
2318   MAT_HIPSPARSE_MULT_OFFDIAG,
2319   MAT_HIPSPARSE_MULT,
2320   MAT_HIPSPARSE_ALL
2321 } MatHIPSPARSEFormatOperation;
2322 
2323 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2324 PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2325 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
2326 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
2327 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2328 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2329 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
2330 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
2331 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
2332 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
2333 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
2334 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);
2335 
2336 PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2337 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2338 PETSC_EXTERN PetscErrorCode MatMPIDenseHIPSetPreallocation(Mat, PetscScalar[]);
2339 PETSC_EXTERN PetscErrorCode MatSeqDenseHIPSetPreallocation(Mat, PetscScalar[]);
2340 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
2341 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
2342 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
2343 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
2344 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
2345 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
2346 PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
2347 PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
2348 PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);
2349 
2350 #endif
2351 
2352 #if defined(PETSC_HAVE_VIENNACL)
2353 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2354 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2355 #endif
2356 
2357 #if defined(PETSC_HAVE_FFTW)
2358 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2359 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2360 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2361 #endif
2362 
2363 #if defined(PETSC_HAVE_SCALAPACK)
2364 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2365 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2366 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2367 #endif
2368 
2369 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2370 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2371 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2372 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2373 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2374 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2375 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2376 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2377 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);
2378 
2379 PETSC_EXTERN PetscErrorCode MatChop(Mat, PetscReal);
2380 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);
2381 
2382 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);
2383 
2384 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);
2385 
2386 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2387 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);
2388 
2389 PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);
2390 
2391 PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, Mat *);
2392 PETSC_EXTERN PetscErrorCode MatEliminateZeros(Mat);
2393 #endif
2394