xref: /petsc/include/petscmat.h (revision 3e2ddb0765c4ae0ebd7d8a17f6f110befa0ebd99)
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 MATAIJKOKKOS                 "aijkokkos"
47 #define MATSEQAIJKOKKOS              "seqaijkokkos"
48 #define MATMPIAIJKOKKOS              "mpiaijkokkos"
49 #define MATAIJVIENNACL               "aijviennacl"
50 #define MATSEQAIJVIENNACL            "seqaijviennacl"
51 #define MATMPIAIJVIENNACL            "mpiaijviennacl"
52 #define MATAIJPERM                   "aijperm"
53 #define MATSEQAIJPERM                "seqaijperm"
54 #define MATMPIAIJPERM                "mpiaijperm"
55 #define MATAIJSELL                   "aijsell"
56 #define MATSEQAIJSELL                "seqaijsell"
57 #define MATMPIAIJSELL                "mpiaijsell"
58 #define MATAIJMKL                    "aijmkl"
59 #define MATSEQAIJMKL                 "seqaijmkl"
60 #define MATMPIAIJMKL                 "mpiaijmkl"
61 #define MATBAIJMKL                   "baijmkl"
62 #define MATSEQBAIJMKL                "seqbaijmkl"
63 #define MATMPIBAIJMKL                "mpibaijmkl"
64 #define MATSHELL                     "shell"
65 #define MATCENTERING                 "centering"
66 #define MATDENSE                     "dense"
67 #define MATDENSECUDA                 "densecuda"
68 #define MATSEQDENSE                  "seqdense"
69 #define MATSEQDENSECUDA              "seqdensecuda"
70 #define MATMPIDENSE                  "mpidense"
71 #define MATMPIDENSECUDA              "mpidensecuda"
72 #define MATELEMENTAL                 "elemental"
73 #define MATSCALAPACK                 "scalapack"
74 #define MATBAIJ                      "baij"
75 #define MATSEQBAIJ                   "seqbaij"
76 #define MATMPIBAIJ                   "mpibaij"
77 #define MATMPIADJ                    "mpiadj"
78 #define MATSBAIJ                     "sbaij"
79 #define MATSEQSBAIJ                  "seqsbaij"
80 #define MATMPISBAIJ                  "mpisbaij"
81 #define MATMFFD                      "mffd"
82 #define MATNORMAL                    "normal"
83 #define MATNORMALHERMITIAN           "normalh"
84 #define MATLRC                       "lrc"
85 #define MATSCATTER                   "scatter"
86 #define MATBLOCKMAT                  "blockmat"
87 #define MATCOMPOSITE                 "composite"
88 #define MATFFT                       "fft"
89 #define MATFFTW                      "fftw"
90 #define MATSEQCUFFT                  "seqcufft"
91 #define MATTRANSPOSEMAT              PETSC_DEPRECATED_MACRO("GCC warning \"MATTRANSPOSEMAT macro is deprecated use MATTRANSPOSEVIRTUAL (since version 3.18)\"") "transpose"
92 #define MATTRANSPOSEVIRTUAL          "transpose"
93 #define MATHERMITIANTRANSPOSEVIRTUAL "hermitiantranspose"
94 #define MATSCHURCOMPLEMENT           "schurcomplement"
95 #define MATPYTHON                    "python"
96 #define MATHYPRE                     "hypre"
97 #define MATHYPRESTRUCT               "hyprestruct"
98 #define MATHYPRESSTRUCT              "hypresstruct"
99 #define MATSUBMATRIX                 "submatrix"
100 #define MATLOCALREF                  "localref"
101 #define MATNEST                      "nest"
102 #define MATPREALLOCATOR              "preallocator"
103 #define MATSELL                      "sell"
104 #define MATSEQSELL                   "seqsell"
105 #define MATMPISELL                   "mpisell"
106 #define MATDUMMY                     "dummy"
107 #define MATLMVM                      "lmvm"
108 #define MATLMVMDFP                   "lmvmdfp"
109 #define MATLMVMBFGS                  "lmvmbfgs"
110 #define MATLMVMSR1                   "lmvmsr1"
111 #define MATLMVMBROYDEN               "lmvmbroyden"
112 #define MATLMVMBADBROYDEN            "lmvmbadbroyden"
113 #define MATLMVMSYMBROYDEN            "lmvmsymbroyden"
114 #define MATLMVMSYMBADBROYDEN         "lmvmsymbadbroyden"
115 #define MATLMVMDIAGBROYDEN           "lmvmdiagbroyden"
116 #define MATCONSTANTDIAGONAL          "constantdiagonal"
117 #define MATHTOOL                     "htool"
118 #define MATH2OPUS                    "h2opus"
119 
120 /*J
121     MatSolverType - String with the name of a PETSc matrix solver type.
122 
123     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
124 
125    Level: beginner
126 
127    Notes:  MATSOLVERUMFPACK, MATSOLVERCHOLMOD, MATSOLVERKLU, MATSOLVERSPQR form the SuiteSparse package for which you can use --download-suitesparse
128 
129 .seealso: `MatGetFactor()`, `PCFactorSetMatSolverType()`, `PCFactorGetMatSolverType()`
130 J*/
131 typedef const char *MatSolverType;
132 #define MATSOLVERSUPERLU         "superlu"
133 #define MATSOLVERSUPERLU_DIST    "superlu_dist"
134 #define MATSOLVERSTRUMPACK       "strumpack"
135 #define MATSOLVERUMFPACK         "umfpack"
136 #define MATSOLVERCHOLMOD         "cholmod"
137 #define MATSOLVERKLU             "klu"
138 #define MATSOLVERSPARSEELEMENTAL "sparseelemental"
139 #define MATSOLVERELEMENTAL       "elemental"
140 #define MATSOLVERSCALAPACK       "scalapack"
141 #define MATSOLVERESSL            "essl"
142 #define MATSOLVERLUSOL           "lusol"
143 #define MATSOLVERMUMPS           "mumps"
144 #define MATSOLVERMKL_PARDISO     "mkl_pardiso"
145 #define MATSOLVERMKL_CPARDISO    "mkl_cpardiso"
146 #define MATSOLVERPASTIX          "pastix"
147 #define MATSOLVERMATLAB          "matlab"
148 #define MATSOLVERPETSC           "petsc"
149 #define MATSOLVERBAS             "bas"
150 #define MATSOLVERCUSPARSE        "cusparse"
151 #define MATSOLVERCUSPARSEBAND    "cusparseband"
152 #define MATSOLVERCUDA            "cuda"
153 #define MATSOLVERKOKKOS          "kokkos"
154 #define MATSOLVERKOKKOSDEVICE    "kokkosdevice"
155 #define MATSOLVERSPQR            "spqr"
156 
157 /*E
158     MatFactorType - indicates what type of factorization is requested
159 
160     Level: beginner
161 
162    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
163 
164 .seealso: `MatSolverType`, `MatGetFactor()`, `MatGetFactorAvailable()`, `MatSolverTypeRegister()`
165 E*/
166 typedef enum {
167   MAT_FACTOR_NONE,
168   MAT_FACTOR_LU,
169   MAT_FACTOR_CHOLESKY,
170   MAT_FACTOR_ILU,
171   MAT_FACTOR_ICC,
172   MAT_FACTOR_ILUDT,
173   MAT_FACTOR_QR,
174   MAT_FACTOR_NUM_TYPES
175 } MatFactorType;
176 PETSC_EXTERN const char *const MatFactorTypes[];
177 
178 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat, MatSolverType, MatFactorType, Mat *);
179 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat, MatSolverType, MatFactorType, PetscBool *);
180 PETSC_EXTERN PetscErrorCode MatFactorGetCanUseOrdering(Mat, PetscBool *);
181 PETSC_DEPRECATED_FUNCTION("Use MatFactorGetCanUseOrdering() (since version 3.15)") static inline PetscErrorCode MatFactorGetUseOrdering(Mat A, PetscBool *b)
182 {
183   return MatFactorGetCanUseOrdering(A, b);
184 }
185 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat, MatSolverType *);
186 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat, MatFactorType *);
187 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat, MatFactorType);
188 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatSolverFunction)(Mat, MatFactorType, Mat *);
189 PETSC_EXTERN PetscErrorCode            MatSolverTypeRegister(MatSolverType, MatType, MatFactorType, MatSolverFunction);
190 PETSC_EXTERN PetscErrorCode            MatSolverTypeGet(MatSolverType, MatType, MatFactorType, PetscBool *, PetscBool *, MatSolverFunction *);
191 typedef MatSolverType MatSolverPackage PETSC_DEPRECATED_TYPEDEF("Use MatSolverType (since version 3.9)");
192 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeRegister() (since version 3.9)") static inline PetscErrorCode MatSolverPackageRegister(MatSolverType stype, MatType mtype, MatFactorType ftype, MatSolverFunction f)
193 {
194   return MatSolverTypeRegister(stype, mtype, ftype, f);
195 }
196 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)
197 {
198   return MatSolverTypeGet(stype, mtype, ftype, foundmtype, foundstype, f);
199 }
200 
201 /*E
202     MatProductType - indicates what type of matrix product is requested
203 
204     Level: beginner
205 
206 .seealso: `MatProductSetType()`
207 E*/
208 typedef enum {
209   MATPRODUCT_UNSPECIFIED = 0,
210   MATPRODUCT_AB,
211   MATPRODUCT_AtB,
212   MATPRODUCT_ABt,
213   MATPRODUCT_PtAP,
214   MATPRODUCT_RARt,
215   MATPRODUCT_ABC
216 } MatProductType;
217 PETSC_EXTERN const char *const MatProductTypes[];
218 
219 /*J
220     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
221 
222    Level: beginner
223 
224 .seealso: `MatSetType()`, `Mat`, `MatProductSetAlgorithm()`, `MatProductType`
225 J*/
226 typedef const char *MatProductAlgorithm;
227 #define MATPRODUCTALGORITHMDEFAULT         "default"
228 #define MATPRODUCTALGORITHMSORTED          "sorted"
229 #define MATPRODUCTALGORITHMSCALABLE        "scalable"
230 #define MATPRODUCTALGORITHMSCALABLEFAST    "scalable_fast"
231 #define MATPRODUCTALGORITHMHEAP            "heap"
232 #define MATPRODUCTALGORITHMBHEAP           "btheap"
233 #define MATPRODUCTALGORITHMLLCONDENSED     "llcondensed"
234 #define MATPRODUCTALGORITHMROWMERGE        "rowmerge"
235 #define MATPRODUCTALGORITHMOUTERPRODUCT    "outerproduct"
236 #define MATPRODUCTALGORITHMATB             "at*b"
237 #define MATPRODUCTALGORITHMRAP             "rap"
238 #define MATPRODUCTALGORITHMNONSCALABLE     "nonscalable"
239 #define MATPRODUCTALGORITHMSEQMPI          "seqmpi"
240 #define MATPRODUCTALGORITHMBACKEND         "backend"
241 #define MATPRODUCTALGORITHMOVERLAPPING     "overlapping"
242 #define MATPRODUCTALGORITHMMERGED          "merged"
243 #define MATPRODUCTALGORITHMALLATONCE       "allatonce"
244 #define MATPRODUCTALGORITHMALLATONCEMERGED "allatonce_merged"
245 #define MATPRODUCTALGORITHMALLGATHERV      "allgatherv"
246 #define MATPRODUCTALGORITHMCYCLIC          "cyclic"
247 #if defined(PETSC_HAVE_HYPRE)
248   #define MATPRODUCTALGORITHMHYPRE "hypre"
249 #endif
250 
251 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat, Mat, Mat, Mat *);
252 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat, Mat, Mat, Mat);
253 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat, MatProductType);
254 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat, MatProductAlgorithm);
255 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat, PetscReal);
256 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
257 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
258 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
259 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat, Mat, Mat, Mat);
260 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
261 PETSC_EXTERN PetscErrorCode MatProductView(Mat, PetscViewer);
262 PETSC_EXTERN PetscErrorCode MatProductGetType(Mat, MatProductType *);
263 PETSC_EXTERN PetscErrorCode MatProductGetMats(Mat, Mat *, Mat *, Mat *);
264 
265 /* Logging support */
266 #define MAT_FILE_CLASSID 1211216 /* used to indicate matrices in binary files */
267 PETSC_EXTERN PetscClassId MAT_CLASSID;
268 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
269 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
270 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
271 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
272 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
273 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
274 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
275 
276 /*E
277     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
278      are to be reused to store the new matrix values.
279 
280 $  MAT_INITIAL_MATRIX - create a new matrix
281 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
282 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
283 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
284 
285     Level: beginner
286 
287    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
288 
289 .seealso: `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatDestroyMatrices()`, `MatConvert()`
290 E*/
291 typedef enum {
292   MAT_INITIAL_MATRIX,
293   MAT_REUSE_MATRIX,
294   MAT_IGNORE_MATRIX,
295   MAT_INPLACE_MATRIX
296 } MatReuse;
297 
298 /*E
299     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
300      include the matrix values. Currently it is only used by MatGetSeqNonzeroStructure().
301 
302     Level: beginner
303 
304 .seealso: `MatGetSeqNonzeroStructure()`
305 E*/
306 typedef enum {
307   MAT_DO_NOT_GET_VALUES,
308   MAT_GET_VALUES
309 } MatCreateSubMatrixOption;
310 
311 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
312 
313 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm, Mat *);
314 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat, PetscInt, PetscInt, PetscInt, PetscInt);
315 PETSC_EXTERN PetscErrorCode MatSetType(Mat, MatType);
316 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat, VecType *);
317 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat, VecType);
318 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
319 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat, PetscObject, const char[]);
320 PETSC_EXTERN PetscErrorCode MatRegister(const char[], PetscErrorCode (*)(Mat));
321 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[], const char[], const char[]);
322 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat, const char[]);
323 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefixFactor(Mat, const char[]);
324 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefixFactor(Mat, const char[]);
325 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat, const char[]);
326 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat, const char *[]);
327 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat, PetscBool);
328 
329 PETSC_EXTERN PetscFunctionList MatList;
330 PETSC_EXTERN PetscFunctionList MatColoringList;
331 PETSC_EXTERN PetscFunctionList MatPartitioningList;
332 
333 /*E
334     MatStructure - Indicates if two matrices have the same nonzero structure
335 
336     Level: beginner
337 
338 $  SAME_NONZERO_PATTERN  - the two matrices have identical nonzero patterns
339 $  DIFFERENT_NONZERO_PATTERN - the two matrices may have different nonzero patterns
340 $  SUBSET_NONZERO_PATTERN - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
341 $  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
342 
343    Developer Notes:
344      Any additions/changes here MUST also be made in src/mat/f90-mod/petscmat.h
345 
346 .seealso: `MatCopy()`, `MatAXPY()`, `MatAYPX()`
347 E*/
348 typedef enum {
349   DIFFERENT_NONZERO_PATTERN,
350   SUBSET_NONZERO_PATTERN,
351   SAME_NONZERO_PATTERN,
352   UNKNOWN_NONZERO_PATTERN
353 } MatStructure;
354 PETSC_EXTERN const char *const MatStructures[];
355 
356 #if defined                 PETSC_HAVE_MKL_SPARSE
357 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
358 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
359 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
360 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
361 #endif
362 
363 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
364 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
365 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat, PetscInt, const PetscInt[]);
366 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
367 
368 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
369 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
370 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
371 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
372 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
373 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
374 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArray(Mat, const PetscScalar[]);
375 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], PetscInt[], PetscInt[], PetscScalar[], Mat *);
376 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm, Mat, Mat, const PetscInt[], Mat *);
377 
378 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
379 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
380 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
381 
382 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat, PetscCount, PetscInt[], PetscInt[]);
383 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat, PetscCount, PetscInt[], PetscInt[]);
384 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat, const PetscScalar[], InsertMode);
385 
386 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscInt[], Mat *);
387 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
388 
389 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
390 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
391 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
392 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
393 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], const PetscInt[]);
394 
395 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, void *, Mat *);
396 PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm, PetscInt, PetscInt, Mat *);
397 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat, Mat *);
398 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat, Mat *);
399 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat, Mat, Vec, Mat, Mat *);
400 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat, Mat *, Mat *, Vec *, Mat *);
401 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, ISLocalToGlobalMapping, ISLocalToGlobalMapping, Mat *);
402 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
403 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
404 
405 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm, VecScatter, Mat *);
406 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat, VecScatter);
407 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat, VecScatter *);
408 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt *, Mat *);
409 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat, Mat);
410 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
411 typedef enum {
412   MAT_COMPOSITE_MERGE_RIGHT,
413   MAT_COMPOSITE_MERGE_LEFT
414 } MatCompositeMergeType;
415 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat, MatCompositeMergeType);
416 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm, PetscInt, const Mat *, Mat *);
417 typedef enum {
418   MAT_COMPOSITE_ADDITIVE,
419   MAT_COMPOSITE_MULTIPLICATIVE
420 } MatCompositeType;
421 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat, MatCompositeType);
422 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat, MatCompositeType *);
423 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat, MatStructure);
424 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat, MatStructure *);
425 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat, PetscInt *);
426 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat, PetscInt, Mat *);
427 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat, const PetscScalar *);
428 
429 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm, PetscInt, const PetscInt[], MatType, Mat *);
430 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm, PetscInt, const PetscInt[], Mat *);
431 
432 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat, Mat *);
433 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat, Mat *);
434 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat, Mat *);
435 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat, Mat *);
436 PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat, Mat *);
437 PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat, Mat *);
438 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat, IS, IS, Mat *);
439 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat, Mat, IS, IS);
440 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat, IS, IS, Mat *);
441 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar, Mat *);
442 
443 #if defined(PETSC_HAVE_HYPRE)
444 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
445 #endif
446 
447 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat, const char[]);
448 PETSC_EXTERN PetscErrorCode MatPythonGetType(Mat, const char *[]);
449 
450 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
451 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
452 PETSC_EXTERN PetscErrorCode MatDestroy(Mat *);
453 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat, PetscObjectState *);
454 
455 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
456 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
457 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
458 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat, Mat *);
459 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat, PetscScalar *);
460 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat, const PetscScalar **);
461 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat, PetscInt, const PetscInt *, PetscScalar *);
462 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat, Mat);
463 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat, MatReuse, Mat *);
464 
465 /* ------------------------------------------------------------*/
466 PETSC_EXTERN PetscErrorCode MatSetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
467 PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat, IS, IS, const PetscScalar[], InsertMode);
468 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
469 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat, PetscInt, const PetscScalar[]);
470 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat, PetscInt, const PetscScalar[]);
471 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt[], const PetscScalar[]);
472 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat, PetscRandom);
473 
474 /*S
475      MatStencil - Data structure (C struct) for storing information about a single row or
476         column of a matrix as indexed on an associated grid. These are arguments to `MatSetStencil()` and `MatSetBlockStencil()`
477 
478    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).
479    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.
480 
481    For stencil access to vectors see `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`.
482 
483    Fortran usage is different, see `MatSetValuesStencil()` for details.
484 
485    Level: beginner
486 
487 .seealso: `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`
488 S*/
489 typedef struct {
490   PetscInt k, j, i, c;
491 } MatStencil;
492 
493 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
494 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
495 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat, PetscInt, const PetscInt[], const PetscInt[], PetscInt);
496 
497 /*E
498     MatAssemblyType - Indicates if the matrix is now to be used, for example in a solver, or if you plan
499      to continue to add or insert values to it
500 
501     Level: beginner
502 
503 .seealso: `MatAssemblyBegin()`, `MatAssemblyEnd()`
504 E*/
505 typedef enum {
506   MAT_FLUSH_ASSEMBLY = 1,
507   MAT_FINAL_ASSEMBLY = 0
508 } MatAssemblyType;
509 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat, MatAssemblyType);
510 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat, MatAssemblyType);
511 PETSC_EXTERN PetscErrorCode MatAssembled(Mat, PetscBool *);
512 
513 /*E
514     MatOption - Options that may be set for a matrix and its behavior or storage
515 
516     Level: beginner
517 
518    Developer Notes:
519    Entries that are negative need not be called collectively by all processes.
520 
521    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
522 
523    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
524 
525 .seealso: `MatSetOption()`
526 E*/
527 typedef enum {
528   MAT_OPTION_MIN                  = -3,
529   MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
530   MAT_ROW_ORIENTED                = -1,
531   MAT_SYMMETRIC                   = 1,
532   MAT_STRUCTURALLY_SYMMETRIC      = 2,
533   MAT_FORCE_DIAGONAL_ENTRIES      = 3,
534   MAT_IGNORE_OFF_PROC_ENTRIES     = 4,
535   MAT_USE_HASH_TABLE              = 5,
536   MAT_KEEP_NONZERO_PATTERN        = 6,
537   MAT_IGNORE_ZERO_ENTRIES         = 7,
538   MAT_USE_INODES                  = 8,
539   MAT_HERMITIAN                   = 9,
540   MAT_SYMMETRY_ETERNAL            = 10,
541   MAT_NEW_NONZERO_LOCATION_ERR    = 11,
542   MAT_IGNORE_LOWER_TRIANGULAR     = 12,
543   MAT_ERROR_LOWER_TRIANGULAR      = 13,
544   MAT_GETROW_UPPERTRIANGULAR      = 14,
545   MAT_SPD                         = 15,
546   MAT_NO_OFF_PROC_ZERO_ROWS       = 16,
547   MAT_NO_OFF_PROC_ENTRIES         = 17,
548   MAT_NEW_NONZERO_LOCATIONS       = 18,
549   MAT_NEW_NONZERO_ALLOCATION_ERR  = 19,
550   MAT_SUBSET_OFF_PROC_ENTRIES     = 20,
551   MAT_SUBMAT_SINGLEIS             = 21,
552   MAT_STRUCTURE_ONLY              = 22,
553   MAT_SORTED_FULL                 = 23,
554   MAT_FORM_EXPLICIT_TRANSPOSE     = 24,
555   MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
556   MAT_SPD_ETERNAL                 = 26,
557   MAT_OPTION_MAX                  = 27
558 } MatOption;
559 
560 PETSC_EXTERN const char *const *MatOptions;
561 PETSC_EXTERN PetscErrorCode     MatSetOption(Mat, MatOption, PetscBool);
562 PETSC_EXTERN PetscErrorCode     MatGetOption(Mat, MatOption, PetscBool *);
563 PETSC_EXTERN PetscErrorCode     MatPropagateSymmetryOptions(Mat, Mat);
564 PETSC_EXTERN PetscErrorCode     MatGetType(Mat, MatType *);
565 
566 PETSC_EXTERN PetscErrorCode    MatGetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
567 PETSC_EXTERN PetscErrorCode    MatGetRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
568 PETSC_EXTERN PetscErrorCode    MatRestoreRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
569 PETSC_EXTERN PetscErrorCode    MatGetRowUpperTriangular(Mat);
570 PETSC_EXTERN PetscErrorCode    MatRestoreRowUpperTriangular(Mat);
571 PETSC_EXTERN PetscErrorCode    MatGetColumnVector(Mat, Vec, PetscInt);
572 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArray(Mat, PetscScalar *[]);
573 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayRead(Mat, const PetscScalar *[]);
574 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayWrite(Mat, PetscScalar *[]);
575 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArray(Mat, PetscScalar *[]);
576 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayRead(Mat, const PetscScalar *[]);
577 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayWrite(Mat, PetscScalar *[]);
578 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetMaxRowNonzeros(Mat, PetscInt *);
579 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetValuesLocalFast(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
580 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetType(Mat, MatType);
581 PETSC_EXTERN PetscErrorCode    MatSeqAIJKron(Mat, Mat, MatReuse, Mat *);
582 PETSC_EXTERN PetscErrorCode    MatSeqAIJRegister(const char[], PetscErrorCode (*)(Mat, MatType, MatReuse, Mat *));
583 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
584 PETSC_EXTERN PetscErrorCode    MatSeqBAIJGetArray(Mat, PetscScalar *[]);
585 PETSC_EXTERN PetscErrorCode    MatSeqBAIJRestoreArray(Mat, PetscScalar *[]);
586 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJGetArray(Mat, PetscScalar *[]);
587 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJRestoreArray(Mat, PetscScalar *[]);
588 PETSC_EXTERN PetscErrorCode    MatDenseGetArray(Mat, PetscScalar *[]);
589 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArray(Mat, PetscScalar *[]);
590 PETSC_EXTERN PetscErrorCode    MatDensePlaceArray(Mat, const PetscScalar[]);
591 PETSC_EXTERN PetscErrorCode    MatDenseReplaceArray(Mat, const PetscScalar[]);
592 PETSC_EXTERN PetscErrorCode    MatDenseResetArray(Mat);
593 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayRead(Mat, const PetscScalar *[]);
594 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayRead(Mat, const PetscScalar *[]);
595 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWrite(Mat, PetscScalar *[]);
596 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWrite(Mat, PetscScalar *[]);
597 PETSC_EXTERN PetscErrorCode    MatGetBlockSize(Mat, PetscInt *);
598 PETSC_EXTERN PetscErrorCode    MatSetBlockSize(Mat, PetscInt);
599 PETSC_EXTERN PetscErrorCode    MatGetBlockSizes(Mat, PetscInt *, PetscInt *);
600 PETSC_EXTERN PetscErrorCode    MatSetBlockSizes(Mat, PetscInt, PetscInt);
601 PETSC_EXTERN PetscErrorCode    MatSetBlockSizesFromMats(Mat, Mat, Mat);
602 PETSC_EXTERN PetscErrorCode    MatSetVariableBlockSizes(Mat, PetscInt, PetscInt *);
603 PETSC_EXTERN PetscErrorCode    MatGetVariableBlockSizes(Mat, PetscInt *, const PetscInt **);
604 
605 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat, PetscInt, PetscScalar *[]);
606 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat, PetscScalar *[]);
607 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat, PetscInt, Vec *);
608 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat, PetscInt, Vec *);
609 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat, PetscInt, Vec *);
610 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat, PetscInt, Vec *);
611 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat, PetscInt, Vec *);
612 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat, PetscInt, Vec *);
613 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
614 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat, Mat *);
615 
616 PETSC_EXTERN PetscErrorCode MatMult(Mat, Vec, Vec);
617 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat, Vec, Vec);
618 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat, Vec, Vec, Vec);
619 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat, Vec, Vec);
620 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat, Vec, Vec);
621 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat, Mat, PetscReal, PetscBool *);
622 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat, Mat, PetscReal, PetscBool *);
623 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat, Vec, Vec, Vec);
624 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat, Vec, Vec, Vec);
625 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat, Mat, Mat);
626 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat, Mat, Mat);
627 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat, Mat, Mat);
628 PETSC_EXTERN PetscErrorCode MatResidual(Mat, Vec, Vec, Vec);
629 
630 /*E
631     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
632   its numerical values copied over or just its nonzero structure.
633 
634     Level: beginner
635 
636    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
637 
638 $   `MAT_DO_NOT_COPY_VALUES`    - Create a matrix using the same nonzero pattern as the original matrix,
639 $                               with zeros for the numerical values.
640 $   `MAT_COPY_VALUES`           - Create a matrix with the same nonzero pattern as the original matrix
641 $                               and with the same numerical values.
642 $   `MAT_SHARE_NONZERO_PATTERN` - Create a matrix that shares the nonzero structure with the previous matrix
643 $                               and does not copy it, using zeros for the numerical values. The parent and
644 $                               child matrices will share their index (i and j) arrays, and you cannot
645 $                               insert new nonzero entries into either matrix.
646 
647   Note:
648   Many matrix types (including `MATSEQAIJ`) do not support the `MAT_SHARE_NONZERO_PATTERN` optimization; in
649   this case the behavior is as if `MAT_DO_NOT_COPY_VALUES` has been specified.
650 
651 .seealso: `MatDuplicate()`
652 E*/
653 typedef enum {
654   MAT_DO_NOT_COPY_VALUES,
655   MAT_COPY_VALUES,
656   MAT_SHARE_NONZERO_PATTERN
657 } MatDuplicateOption;
658 
659 PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
660 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);
661 
662 PETSC_EXTERN PetscErrorCode MatCopy(Mat, Mat, MatStructure);
663 PETSC_EXTERN PetscErrorCode MatView(Mat, PetscViewer);
664 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat, PetscReal, PetscBool *);
665 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat, PetscBool *);
666 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat, PetscReal, PetscBool *);
667 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat, PetscBool *, PetscBool *);
668 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat, PetscBool *, PetscBool *);
669 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat, PetscBool *, PetscBool *);
670 PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat, PetscBool *, PetscBool *);
671 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat, PetscBool *, PetscInt *);
672 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
673 
674 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
675 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
676 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
677 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
678 
679 /*S
680      MatInfo - Context of matrix information, used with `MatGetInfo()`
681 
682    In Fortran this is simply a double precision array of dimension `MAT_INFO_SIZE`
683 
684    Level: intermediate
685 
686 .seealso: `MatGetInfo()`, `MatInfoType`
687 S*/
688 typedef struct {
689   PetscLogDouble block_size;                          /* block size */
690   PetscLogDouble nz_allocated, nz_used, nz_unneeded;  /* number of nonzeros */
691   PetscLogDouble memory;                              /* memory allocated */
692   PetscLogDouble assemblies;                          /* number of matrix assemblies called */
693   PetscLogDouble mallocs;                             /* number of mallocs during MatSetValues() */
694   PetscLogDouble fill_ratio_given, fill_ratio_needed; /* fill ratio for LU/ILU */
695   PetscLogDouble factor_mallocs;                      /* number of mallocs during factorization */
696 } MatInfo;
697 
698 /*E
699     MatInfoType - Indicates if you want information about the local part of the matrix,
700      the entire parallel matrix or the maximum over all the local parts.
701 
702     Level: beginner
703 
704    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
705 
706 .seealso: `MatGetInfo()`, `MatInfo`
707 E*/
708 typedef enum {
709   MAT_LOCAL      = 1,
710   MAT_GLOBAL_MAX = 2,
711   MAT_GLOBAL_SUM = 3
712 } MatInfoType;
713 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat, MatInfoType, MatInfo *);
714 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat, Vec);
715 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat, Vec, PetscInt[]);
716 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat, Vec, PetscInt[]);
717 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat, Vec, PetscInt[]);
718 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat, Vec, PetscInt[]);
719 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat, Vec);
720 PETSC_EXTERN PetscErrorCode MatTranspose(Mat, MatReuse, Mat *);
721 PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat, Mat *);
722 PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat, Mat);
723 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat, MatReuse, Mat *);
724 PETSC_EXTERN PetscErrorCode MatPermute(Mat, IS, IS, Mat *);
725 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat, Vec, Vec);
726 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat, Vec, InsertMode);
727 
728 PETSC_EXTERN PetscErrorCode MatEqual(Mat, Mat, PetscBool *);
729 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat, Mat, PetscInt, PetscBool *);
730 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat, Mat, PetscInt, PetscBool *);
731 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
732 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
733 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
734 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
735 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
736 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
737 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
738 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
739 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
740 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat, PetscInt, PetscBool *);
741 
742 PETSC_EXTERN PetscErrorCode MatNorm(Mat, NormType, PetscReal *);
743 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat, NormType, PetscReal *);
744 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat, PetscScalar *);
745 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat, PetscReal *);
746 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat, PetscReal *);
747 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat, PetscScalar *);
748 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat, PetscReal *);
749 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat, PetscReal *);
750 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat, PetscInt, PetscReal *);
751 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
752 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
753 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
754 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat, IS, PetscScalar, Vec, Vec);
755 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
756 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
757 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
758 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat, IS, PetscScalar, Vec, Vec);
759 
760 PETSC_EXTERN PetscErrorCode MatGetSize(Mat, PetscInt *, PetscInt *);
761 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat, PetscInt *, PetscInt *);
762 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat, PetscInt *, PetscInt *);
763 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat, const PetscInt **);
764 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat, PetscInt *, PetscInt *);
765 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat, const PetscInt **);
766 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat, IS *, IS *);
767 
768 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
769 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[])
770 {
771   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
772 }
773 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
774 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[])
775 {
776   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
777 }
778 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
779 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
780 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
781 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatrix() (since version 3.8)") static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat)
782 {
783   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
784 }
785 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
786 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
787 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
788 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);
789 
790 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm, Mat, PetscInt, PetscInt, MatReuse, Mat *);
791 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm, Mat, PetscInt, PetscInt, Mat *);
792 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat, Mat);
793 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat, MatReuse, Mat *);
794 PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat, Mat *);
795 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
796 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat, MatReuse, IS *, Mat *);
797 PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat, PetscCount *);
798 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat, Mat, MatReuse, IS *, IS *, Mat *);
799 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *, const PetscInt *[]);
800 
801 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
802 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat, PetscInt n, IS is[], PetscInt ov);
803 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);
804 
805 PETSC_EXTERN PetscErrorCode MatMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
806 
807 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
808 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
809 
810 PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
811 PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);
812 
813 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
814 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);
815 
816 PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
817 PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);
818 
819 PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
820 PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);
821 
822 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping, ISLocalToGlobalMapping);
823 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
824 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat, PetscLayout *, PetscLayout *);
825 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat, PetscLayout, PetscLayout);
826 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
827 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
828 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
829 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
830 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
831 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
832 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
833 
834 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
835 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);
836 
837 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat, Vec, Vec);
838 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat, Vec, Vec, Vec);
839 PETSC_EXTERN PetscErrorCode MatRestrict(Mat, Vec, Vec);
840 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat, Mat, Mat *);
841 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat, Mat, Mat, Mat *);
842 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat, Mat, Mat *);
843 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat, Vec *, Vec *);
844 PETSC_DEPRECATED_FUNCTION("Use MatCreateVecs() (since version 3.6)") static inline PetscErrorCode MatGetVecs(Mat mat, Vec *x, Vec *y)
845 {
846   return MatCreateVecs(mat, x, y);
847 }
848 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat, PetscInt, MPI_Comm, MatReuse, Mat *);
849 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat, MPI_Comm, MatReuse, Mat *);
850 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat, IS *);
851 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat, IS *);
852 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm, Mat, PetscInt, MatReuse, Mat *);
853 
854 /*MC
855    MatSetValue - Set a single entry into a matrix.
856 
857    Not collective
858 
859    Synopsis:
860      #include <petscmat.h>
861      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
862 
863    Input Parameters:
864 +  m - the matrix
865 .  row - the row location of the entry
866 .  col - the column location of the entry
867 .  value - the value to insert
868 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
869 
870    Notes:
871    For efficiency one should use `MatSetValues()` and set several values simultaneously.
872 
873    Level: beginner
874 
875 .seealso: `MatGetValue()`, `MatSetValues()`, `MatSetValueLocal()`, `MatSetValuesLocal()`
876 M*/
877 static inline PetscErrorCode MatSetValue(Mat v, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
878 {
879   return MatSetValues(v, 1, &i, 1, &j, &va, mode);
880 }
881 
882 /*@C
883    MatGetValue - Gets a single value from a matrix
884 
885    Not Collective; can only return a value owned by the given process
886 
887    Input Parameters:
888 +  mat - the matrix
889 .  row - the row location of the entry
890 -  col - the column location of the entry
891 
892    Output Parameter:
893 .  va - the value
894 
895    Notes:
896    For efficiency one should use `MatGetValues()` and get several values simultaneously.
897 
898    See notes for `MatGetValues()`.
899 
900    Level: advanced
901 
902 .seealso: `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
903 @*/
904 static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
905 {
906   return MatGetValues(mat, 1, &row, 1, &col, va);
907 }
908 
909 /*MC
910    MatSetValueLocal - Inserts or adds a single value into a matrix,
911    using a local numbering of the nodes.
912 
913    Not Collective
914 
915    Input Parameters:
916 +  m - the matrix
917 .  row - the row location of the entry
918 .  col - the column location of the entry
919 .  value - the value to insert
920 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
921 
922    Notes:
923    For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.
924 
925    See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.
926 
927    Level: intermediate
928 
929 .seealso: `MatSetValue()`, `MatSetValuesLocal()`
930 M*/
931 static inline PetscErrorCode MatSetValueLocal(Mat v, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
932 {
933   return MatSetValuesLocal(v, 1, &i, 1, &j, &va, mode);
934 }
935 
936 /*MC
937    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
938        row in a matrix providing the data that one can use to correctly preallocate the matrix.
939 
940    Synopsis:
941    #include <petscmat.h>
942    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
943 
944    Collective
945 
946    Input Parameters:
947 +  comm - the communicator that will share the eventually allocated matrix
948 .  nrows - the number of LOCAL rows in the matrix
949 -  ncols - the number of LOCAL columns in the matrix
950 
951    Output Parameters:
952 +  dnz - the array that will be passed to the matrix preallocation routines
953 -  onz - the other array passed to the matrix preallocation routines
954 
955    Level: intermediate
956 
957    Notes:
958     This is a macro that handles its own error checking, it does not return an error code.
959 
960     See Users-Manual: ch_performance for more details.
961 
962     Do not malloc or free dnz and onz, that is handled internally by these routines
963 
964    Developer Notes:
965     This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
966 
967 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
968           `MatPreallocateSymmetricSetLocalBlock()`
969 M*/
970 #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
971   do { \
972     PetscInt __nrows = (nrows), __ncols = (ncols), __rstart, __start, __end = 0; \
973     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
974     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
975     __start = __end - __ncols; \
976     (void)__start; \
977     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
978   __rstart -= __nrows
979 
980 #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateBegin() (since version 3.18)\"") MatPreallocateBegin(__VA_ARGS__)
981 
982 /*MC
983    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
984        inserted using a local number of the rows and columns
985 
986    Synopsis:
987    #include <petscmat.h>
988    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
989 
990    Not Collective
991 
992    Input Parameters:
993 +  map - the row mapping from local numbering to global numbering
994 .  nrows - the number of rows indicated
995 .  rows - the indices of the rows
996 .  cmap - the column mapping from local to global numbering
997 .  ncols - the number of columns in the matrix
998 .  cols - the columns indicated
999 .  dnz - the array that will be passed to the matrix preallocation routines
1000 -  onz - the other array passed to the matrix preallocation routines
1001 
1002    Level: intermediate
1003 
1004    Notes:
1005     See Users-Manual: ch_performance for more details.
1006 
1007    Do not malloc or free dnz and onz, that is handled internally by these routines
1008 
1009 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1010           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
1011 M*/
1012 #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1013   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));)
1014 
1015 /*MC
1016    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1017        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
1018 
1019    Synopsis:
1020    #include <petscmat.h>
1021    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1022 
1023    Not Collective
1024 
1025    Input Parameters:
1026 +  map - the row mapping from local numbering to global numbering
1027 .  nrows - the number of rows indicated
1028 .  rows - the indices of the rows (these values are mapped to the global values)
1029 .  cmap - the column mapping from local to global numbering
1030 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1031 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1032 .  dnz - the array that will be passed to the matrix preallocation routines
1033 -  onz - the other array passed to the matrix preallocation routines
1034 
1035    Level: intermediate
1036 
1037    Notes:
1038     See Users-Manual: ch_performance for more details.
1039 
1040    Do not malloc or free dnz and onz, that is handled internally by these routines
1041 
1042 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1043           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1044 M*/
1045 #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1046   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));)
1047 
1048 /*MC
1049    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1050        inserted using a local number of the rows and columns
1051 
1052    Synopsis:
1053    #include <petscmat.h>
1054    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1055 
1056    Not Collective
1057 
1058    Input Parameters:
1059 +  map - the row mapping from local numbering to global numbering
1060 .  nrows - the number of rows indicated
1061 .  rows - the indices of the rows
1062 .  cmap - the column mapping from local to global numbering
1063 .  ncols - the number of columns in the matrix
1064 .  cols - the columns indicated
1065 .  dnz - the array that will be passed to the matrix preallocation routines
1066 -  onz - the other array passed to the matrix preallocation routines
1067 
1068    Level: intermediate
1069 
1070    Notes:
1071     See Users-Manual: ch_performance for more details.
1072 
1073    Do not malloc or free dnz and onz, that is handled internally by these routines
1074 
1075 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1076           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1077 M*/
1078 #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1079   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));)
1080 
1081 /*MC
1082    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1083        inserted using a local number of the rows and columns
1084 
1085    Synopsis:
1086    #include <petscmat.h>
1087    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1088 
1089    Not Collective
1090 
1091    Input Parameters:
1092 +  map - the mapping between local numbering and global numbering
1093 .  nrows - the number of rows indicated
1094 .  rows - the indices of the rows
1095 .  ncols - the number of columns in the matrix
1096 .  cols - the columns indicated
1097 .  dnz - the array that will be passed to the matrix preallocation routines
1098 -  onz - the other array passed to the matrix preallocation routines
1099 
1100    Level: intermediate
1101 
1102    Notes:
1103     See Users-Manual: ch_performance for more details.
1104 
1105    Do not malloc or free dnz and onz that is handled internally by these routines
1106 
1107 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`
1108           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1109 M*/
1110 #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1111   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));)
1112 
1113 /*MC
1114    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1115        inserted using a local number of the rows and columns
1116 
1117    Synopsis:
1118    #include <petscmat.h>
1119    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1120 
1121    Not Collective
1122 
1123    Input Parameters:
1124 +  row - the row
1125 .  ncols - the number of columns in the matrix
1126 -  cols - the columns indicated
1127 
1128    Output Parameters:
1129 +  dnz - the array that will be passed to the matrix preallocation routines
1130 -  onz - the other array passed to the matrix preallocation routines
1131 
1132    Level: intermediate
1133 
1134    Notes:
1135     See Users-Manual: ch_performance for more details.
1136 
1137    Do not malloc or free dnz and onz that is handled internally by these routines
1138 
1139    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1140 
1141 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1142           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1143 M*/
1144 #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1145   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) { \
1146     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1147     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1148   })
1149 
1150 /*MC
1151    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1152        inserted using a local number of the rows and columns
1153 
1154    Synopsis:
1155    #include <petscmat.h>
1156    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1157 
1158    Not Collective
1159 
1160    Input Parameters:
1161 +  nrows - the number of rows indicated
1162 .  rows - the indices of the rows
1163 .  ncols - the number of columns in the matrix
1164 .  cols - the columns indicated
1165 .  dnz - the array that will be passed to the matrix preallocation routines
1166 -  onz - the other array passed to the matrix preallocation routines
1167 
1168    Level: intermediate
1169 
1170    Notes:
1171     See Users-Manual: ch_performance for more details.
1172 
1173    Do not malloc or free dnz and onz that is handled internally by these routines
1174 
1175    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1176 
1177 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1178           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1179 M*/
1180 #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1181   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
1182     if (cols[__i] >= __end) onz[row - __rstart]++; \
1183     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1184   })
1185 
1186 /*MC
1187    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1188 
1189    Synopsis:
1190    #include <petscmat.h>
1191    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1192 
1193    Not Collective
1194 
1195    Input Parameters:
1196 +  A - matrix
1197 .  row - row where values exist (must be local to this process)
1198 .  ncols - number of columns
1199 .  cols - columns with nonzeros
1200 .  dnz - the array that will be passed to the matrix preallocation routines
1201 -  onz - the other array passed to the matrix preallocation routines
1202 
1203    Level: intermediate
1204 
1205    Notes:
1206     See Users-Manual: ch_performance for more details.
1207 
1208    Do not malloc or free dnz and onz that is handled internally by these routines
1209 
1210    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
1211 
1212 .seealso: `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1213           `MatPreallocateSymmetricSetLocalBlock()`
1214 M*/
1215 #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))
1216 
1217 /*MC
1218    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1219        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1220 
1221    Synopsis:
1222    #include <petscmat.h>
1223    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)
1224 
1225    Collective
1226 
1227    Input Parameters:
1228 +  dnz - the array that was be passed to the matrix preallocation routines
1229 -  onz - the other array passed to the matrix preallocation routines
1230 
1231    Level: intermediate
1232 
1233    Notes:
1234     This is a macro that handles its own error checking, it does not return an error code.
1235 
1236     See Users-Manual: ch_performance for more details.
1237 
1238     Do not malloc or free dnz and onz, that is handled internally by these routines
1239 
1240    Developer Notes:
1241     This is a MACRO not a function because it closes the { started in MatPreallocateBegin().
1242 
1243 .seealso: `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1244           `MatPreallocateSymmetricSetLocalBlock()`
1245 M*/
1246 #define MatPreallocateEnd(dnz, onz) \
1247   PetscCall(PetscFree2(dnz, onz)); \
1248   } \
1249   while (0)
1250 
1251 #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateEnd() (since version 3.18)\"") MatPreallocateEnd(__VA_ARGS__)
1252 
1253 /* Routines unique to particular data structures */
1254 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, void *);
1255 
1256 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1257 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);
1258 
1259 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1260 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1261 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1262 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1263 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1264 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscInt, PetscBool);
1265 
1266 #define MAT_SKIP_ALLOCATION -4
1267 
1268 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1269 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1270 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1271 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);
1272 
1273 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1274 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1275 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1276 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1277 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1278 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1279 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1280 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1281 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1282 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1283 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1284 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1285 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1286 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1287 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);
1288 
1289 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1290 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1291 PETSC_DEPRECATED_FUNCTION("Use MatDenseSetLDA() (since version 3.14)") static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
1292 {
1293   return MatDenseSetLDA(A, lda);
1294 }
1295 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);
1296 
1297 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1298 
1299 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1300 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1301 
1302 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1303 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1304 /*
1305   These routines are not usually accessed directly, rather solving is
1306   done through the KSP and PC interfaces.
1307 */
1308 
1309 /*J
1310     MatOrderingType - String with the name of a PETSc matrix ordering
1311 
1312    Level: beginner
1313 
1314    Notes:
1315       If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and utilizes one built into the factorization package
1316 
1317 .seealso: `MatGetOrdering()`
1318 J*/
1319 typedef const char *MatOrderingType;
1320 #define MATORDERINGNATURAL       "natural"
1321 #define MATORDERINGND            "nd"
1322 #define MATORDERING1WD           "1wd"
1323 #define MATORDERINGRCM           "rcm"
1324 #define MATORDERINGQMD           "qmd"
1325 #define MATORDERINGROWLENGTH     "rowlength"
1326 #define MATORDERINGWBM           "wbm"
1327 #define MATORDERINGSPECTRAL      "spectral"
1328 #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1329 #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1330 #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 */
1331 #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */
1332 
1333 PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1334 PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1335 PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1336 PETSC_EXTERN PetscFunctionList MatOrderingList;
1337 
1338 #include "petscmatcoarsen.h"
1339 
1340 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1341 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);
1342 
1343 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);
1344 
1345 /*S
1346     MatFactorShiftType - Numeric Shift for factorizations
1347 
1348    Level: beginner
1349 
1350 .seealso: `MatGetFactor()`
1351 S*/
1352 typedef enum {
1353   MAT_SHIFT_NONE,
1354   MAT_SHIFT_NONZERO,
1355   MAT_SHIFT_POSITIVE_DEFINITE,
1356   MAT_SHIFT_INBLOCKS
1357 } MatFactorShiftType;
1358 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1359 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1360 
1361 /*S
1362     MatFactorError - indicates what type of error was generated in a matrix factorization
1363 
1364     Level: beginner
1365 
1366     Developer Note:
1367     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1368 
1369 .seealso: `MatGetFactor()`
1370 S*/
1371 typedef enum {
1372   MAT_FACTOR_NOERROR,
1373   MAT_FACTOR_STRUCT_ZEROPIVOT,
1374   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1375   MAT_FACTOR_OUTMEMORY,
1376   MAT_FACTOR_OTHER
1377 } MatFactorError;
1378 
1379 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1380 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1381 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);
1382 
1383 /*S
1384    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1385 
1386    In Fortran these are simply double precision arrays of size `MAT_FACTORINFO_SIZE`, that is use
1387 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1388 
1389    Notes:
1390     These are not usually directly used by users, instead use `PC` type of `PCLU`, `PCILU`, `PCCHOLESKY` or `PCICC`.
1391 
1392       You can use `MatFactorInfoInitialize()` to set default values.
1393 
1394    Level: developer
1395 
1396 .seealso: `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`, `MatICCFactorSymbolic()`, `MatICCFactor()`,
1397           `MatFactorInfoInitialize()`
1398 
1399 S*/
1400 typedef struct {
1401   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1402   PetscReal usedt;
1403   PetscReal dt;            /* drop tolerance */
1404   PetscReal dtcol;         /* tolerance for pivoting */
1405   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1406   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1407   PetscReal levels;        /* ICC/ILU(levels) */
1408   PetscReal pivotinblocks; /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1409                                    factorization may be faster if do not pivot */
1410   PetscReal zeropivot;     /* pivot is called zero if less than this */
1411   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1412   PetscReal shiftamount;   /* how large the shift is */
1413 } MatFactorInfo;
1414 
1415 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1416 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1417 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1418 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1419 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1420 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1421 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1422 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1423 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1424 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1425 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1426 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1427 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1428 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1429 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1430 PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1431 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1432 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1433 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1434 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1435 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1436 PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1437 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1438 
1439 typedef enum {
1440   MAT_FACTOR_SCHUR_UNFACTORED,
1441   MAT_FACTOR_SCHUR_FACTORED,
1442   MAT_FACTOR_SCHUR_INVERTED
1443 } MatFactorSchurStatus;
1444 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1445 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1446 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1447 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1448 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1449 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1450 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1451 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1452 
1453 PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1454 /*E
1455     MatSORType - What type of (S)SOR to perform
1456 
1457     Level: beginner
1458 
1459    May be bitwise ORd together
1460 
1461    Developer Notes:
1462    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1463 
1464   `MatSORType` may be bitwise ORd together, so do not change the numerical values
1465 
1466 .seealso: `MatSOR()`
1467 E*/
1468 typedef enum {
1469   SOR_FORWARD_SWEEP         = 1,
1470   SOR_BACKWARD_SWEEP        = 2,
1471   SOR_SYMMETRIC_SWEEP       = 3,
1472   SOR_LOCAL_FORWARD_SWEEP   = 4,
1473   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1474   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1475   SOR_ZERO_INITIAL_GUESS    = 16,
1476   SOR_EISENSTAT             = 32,
1477   SOR_APPLY_UPPER           = 64,
1478   SOR_APPLY_LOWER           = 128
1479 } MatSORType;
1480 PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);
1481 
1482 /*S
1483      MatColoring - Object for managing the coloring of matrices.
1484 
1485    Level: beginner
1486 
1487     Notes:
1488        Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1489        matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).
1490 
1491        Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1492        same object can also be used to efficiently convert data created by Automatic Differentation tools to PETSc sparse matrices.
1493 
1494 .seealso: `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`, `MatOrdering`, `MatPartitioning`, `MatColoringType`
1495 S*/
1496 typedef struct _p_MatColoring *MatColoring;
1497 
1498 /*J
1499     MatColoringType - String with the name of a PETSc matrix coloring
1500 
1501    Level: beginner
1502 
1503 .seealso: `MatColoringSetType()`, `MatColoring`
1504 J*/
1505 typedef const char *MatColoringType;
1506 #define MATCOLORINGJP      "jp"
1507 #define MATCOLORINGPOWER   "power"
1508 #define MATCOLORINGNATURAL "natural"
1509 #define MATCOLORINGSL      "sl"
1510 #define MATCOLORINGLF      "lf"
1511 #define MATCOLORINGID      "id"
1512 #define MATCOLORINGGREEDY  "greedy"
1513 
1514 /*E
1515    MatColoringWeightType - Type of weight scheme
1516 
1517     Not Collective
1518 
1519 +   `MAT_COLORING_RANDOM`  - Random weights
1520 .   `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1521 -   `MAT_COLORING_LF`      - Last-first weighting.
1522 
1523     Level: intermediate
1524 
1525    Developer Note:
1526    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1527 
1528 .seealso: `MatColoring`, `MatColoringCreate()`
1529 E*/
1530 typedef enum {
1531   MAT_COLORING_WEIGHT_RANDOM,
1532   MAT_COLORING_WEIGHT_LEXICAL,
1533   MAT_COLORING_WEIGHT_LF,
1534   MAT_COLORING_WEIGHT_SL
1535 } MatColoringWeightType;
1536 
1537 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1538 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1539 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1540 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1541 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1542 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1543 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1544 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1545 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1546 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1547 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1548 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1549 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1550 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1551 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1552 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1553 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1554 PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
1555 {
1556   return MatColoringTest(matcoloring, iscoloring);
1557 }
1558 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);
1559 
1560 /*S
1561      MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring
1562 
1563    Level: beginner
1564 
1565    Notes:
1566       This object is creating utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`
1567 
1568 .seealso: `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1569 S*/
1570 typedef struct _p_MatFDColoring *MatFDColoring;
1571 
1572 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1573 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1574 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1575 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, PetscErrorCode (*)(void), void *);
1576 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, PetscErrorCode (**)(void), void **);
1577 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1578 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1579 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1580 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1581 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1582 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1583 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1584 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);
1585 
1586 /*S
1587      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1588 
1589    Level: beginner
1590 
1591 .seealso: `MatTransposeColoringCreate()`
1592 S*/
1593 typedef struct _p_MatTransposeColoring *MatTransposeColoring;
1594 
1595 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1596 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1597 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1598 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);
1599 
1600 /*S
1601      MatPartitioning - Object for managing the partitioning of a matrix or graph
1602 
1603    Level: beginner
1604 
1605    Note:
1606      There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1607      via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)
1608 
1609    Developers Note:
1610      It is an extra maintainance and documentation cost to have two objects with the same functionality.
1611 
1612 .seealso: `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`
1613 S*/
1614 typedef struct _p_MatPartitioning *MatPartitioning;
1615 
1616 /*J
1617     MatPartitioningType - String with the name of a PETSc matrix partitioning
1618 
1619    Level: beginner
1620 dm
1621 .seealso: `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`
1622 J*/
1623 typedef const char *MatPartitioningType;
1624 #define MATPARTITIONINGCURRENT  "current"
1625 #define MATPARTITIONINGAVERAGE  "average"
1626 #define MATPARTITIONINGSQUARE   "square"
1627 #define MATPARTITIONINGPARMETIS "parmetis"
1628 #define MATPARTITIONINGCHACO    "chaco"
1629 #define MATPARTITIONINGPARTY    "party"
1630 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1631 #define MATPARTITIONINGHIERARCH "hierarch"
1632 
1633 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1634 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1635 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1636 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1637 PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1638 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1639 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1640 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1641 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1642 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1643 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1644 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1645 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1646 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1647 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1648 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1649 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1650 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1651 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);
1652 
1653 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1654 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1655 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1656 
1657 typedef enum {
1658   MP_CHACO_MULTILEVEL = 1,
1659   MP_CHACO_SPECTRAL   = 2,
1660   MP_CHACO_LINEAR     = 4,
1661   MP_CHACO_RANDOM     = 5,
1662   MP_CHACO_SCATTERED  = 6
1663 } MPChacoGlobalType;
1664 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1665 typedef enum {
1666   MP_CHACO_KERNIGHAN = 1,
1667   MP_CHACO_NONE      = 2
1668 } MPChacoLocalType;
1669 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1670 typedef enum {
1671   MP_CHACO_LANCZOS = 0,
1672   MP_CHACO_RQI     = 1
1673 } MPChacoEigenType;
1674 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1675 
1676 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1677 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1678 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1679 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1680 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1681 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1682 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1683 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1684 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1685 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1686 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);
1687 
1688 #define MP_PARTY_OPT "opt"
1689 #define MP_PARTY_LIN "lin"
1690 #define MP_PARTY_SCA "sca"
1691 #define MP_PARTY_RAN "ran"
1692 #define MP_PARTY_GBF "gbf"
1693 #define MP_PARTY_GCF "gcf"
1694 #define MP_PARTY_BUB "bub"
1695 #define MP_PARTY_DEF "def"
1696 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1697 #define MP_PARTY_HELPFUL_SETS  "hs"
1698 #define MP_PARTY_KERNIGHAN_LIN "kl"
1699 #define MP_PARTY_NONE          "no"
1700 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1701 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1702 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1703 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);
1704 
1705 typedef enum {
1706   MP_PTSCOTCH_DEFAULT,
1707   MP_PTSCOTCH_QUALITY,
1708   MP_PTSCOTCH_SPEED,
1709   MP_PTSCOTCH_BALANCE,
1710   MP_PTSCOTCH_SAFETY,
1711   MP_PTSCOTCH_SCALABILITY
1712 } MPPTScotchStrategyType;
1713 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1714 
1715 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1716 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1717 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1718 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);
1719 
1720 /*
1721  * hierarchical partitioning
1722  */
1723 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1724 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1725 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1726 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1727 
1728 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);
1729 
1730 /*
1731     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1732     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1733 */
1734 typedef enum {
1735   MATOP_SET_VALUES               = 0,
1736   MATOP_GET_ROW                  = 1,
1737   MATOP_RESTORE_ROW              = 2,
1738   MATOP_MULT                     = 3,
1739   MATOP_MULT_ADD                 = 4,
1740   MATOP_MULT_TRANSPOSE           = 5,
1741   MATOP_MULT_TRANSPOSE_ADD       = 6,
1742   MATOP_SOLVE                    = 7,
1743   MATOP_SOLVE_ADD                = 8,
1744   MATOP_SOLVE_TRANSPOSE          = 9,
1745   MATOP_SOLVE_TRANSPOSE_ADD      = 10,
1746   MATOP_LUFACTOR                 = 11,
1747   MATOP_CHOLESKYFACTOR           = 12,
1748   MATOP_SOR                      = 13,
1749   MATOP_TRANSPOSE                = 14,
1750   MATOP_GETINFO                  = 15,
1751   MATOP_EQUAL                    = 16,
1752   MATOP_GET_DIAGONAL             = 17,
1753   MATOP_DIAGONAL_SCALE           = 18,
1754   MATOP_NORM                     = 19,
1755   MATOP_ASSEMBLY_BEGIN           = 20,
1756   MATOP_ASSEMBLY_END             = 21,
1757   MATOP_SET_OPTION               = 22,
1758   MATOP_ZERO_ENTRIES             = 23,
1759   MATOP_ZERO_ROWS                = 24,
1760   MATOP_LUFACTOR_SYMBOLIC        = 25,
1761   MATOP_LUFACTOR_NUMERIC         = 26,
1762   MATOP_CHOLESKY_FACTOR_SYMBOLIC = 27,
1763   MATOP_CHOLESKY_FACTOR_NUMERIC  = 28,
1764   MATOP_SETUP                    = 29,
1765   MATOP_ILUFACTOR_SYMBOLIC       = 30,
1766   MATOP_ICCFACTOR_SYMBOLIC       = 31,
1767   MATOP_GET_DIAGONAL_BLOCK       = 32,
1768   MATOP_SET_INF                  = 33,
1769   MATOP_DUPLICATE                = 34,
1770   MATOP_FORWARD_SOLVE            = 35,
1771   MATOP_BACKWARD_SOLVE           = 36,
1772   MATOP_ILUFACTOR                = 37,
1773   MATOP_ICCFACTOR                = 38,
1774   MATOP_AXPY                     = 39,
1775   MATOP_CREATE_SUBMATRICES       = 40,
1776   MATOP_INCREASE_OVERLAP         = 41,
1777   MATOP_GET_VALUES               = 42,
1778   MATOP_COPY                     = 43,
1779   MATOP_GET_ROW_MAX              = 44,
1780   MATOP_SCALE                    = 45,
1781   MATOP_SHIFT                    = 46,
1782   MATOP_DIAGONAL_SET             = 47,
1783   MATOP_ZERO_ROWS_COLUMNS        = 48,
1784   MATOP_SET_RANDOM               = 49,
1785   MATOP_GET_ROW_IJ               = 50,
1786   MATOP_RESTORE_ROW_IJ           = 51,
1787   MATOP_GET_COLUMN_IJ            = 52,
1788   MATOP_RESTORE_COLUMN_IJ        = 53,
1789   MATOP_FDCOLORING_CREATE        = 54,
1790   MATOP_COLORING_PATCH           = 55,
1791   MATOP_SET_UNFACTORED           = 56,
1792   MATOP_PERMUTE                  = 57,
1793   MATOP_SET_VALUES_BLOCKED       = 58,
1794   MATOP_CREATE_SUBMATRIX         = 59,
1795   MATOP_DESTROY                  = 60,
1796   MATOP_VIEW                     = 61,
1797   MATOP_CONVERT_FROM             = 62,
1798   /* MATOP_PLACEHOLDER_63=63 */
1799   MATOP_MATMAT_MULT_SYMBOLIC    = 64,
1800   MATOP_MATMAT_MULT_NUMERIC     = 65,
1801   MATOP_SET_LOCAL_TO_GLOBAL_MAP = 66,
1802   MATOP_SET_VALUES_LOCAL        = 67,
1803   MATOP_ZERO_ROWS_LOCAL         = 68,
1804   MATOP_GET_ROW_MAX_ABS         = 69,
1805   MATOP_GET_ROW_MIN_ABS         = 70,
1806   MATOP_CONVERT                 = 71,
1807   MATOP_HAS_OPERATION           = 72,
1808   /* MATOP_PLACEHOLDER_73=73, */
1809   MATOP_SET_VALUES_ADIFOR = 74,
1810   MATOP_FD_COLORING_APPLY = 75,
1811   MATOP_SET_FROM_OPTIONS  = 76,
1812   /* MATOP_PLACEHOLDER_77=77, */
1813   /* MATOP_PLACEHOLDER_78=78, */
1814   MATOP_FIND_ZERO_DIAGONALS       = 79,
1815   MATOP_MULT_MULTIPLE             = 80,
1816   MATOP_SOLVE_MULTIPLE            = 81,
1817   MATOP_GET_INERTIA               = 82,
1818   MATOP_LOAD                      = 83,
1819   MATOP_IS_SYMMETRIC              = 84,
1820   MATOP_IS_HERMITIAN              = 85,
1821   MATOP_IS_STRUCTURALLY_SYMMETRIC = 86,
1822   MATOP_SET_VALUES_BLOCKEDLOCAL   = 87,
1823   MATOP_CREATE_VECS               = 88,
1824   /* MATOP_PLACEHOLDER_89=89, */
1825   MATOP_MAT_MULT_SYMBOLIC = 90,
1826   MATOP_MAT_MULT_NUMERIC  = 91,
1827   /* MATOP_PLACEHOLDER_92=92, */
1828   MATOP_PTAP_SYMBOLIC = 93,
1829   MATOP_PTAP_NUMERIC  = 94,
1830   /* MATOP_PLACEHOLDER_95=95, */
1831   MATOP_MAT_TRANSPOSE_MULT_SYMBO = 96,
1832   MATOP_MAT_TRANSPOSE_MULT_NUMER = 97,
1833   MATOP_BIND_TO_CPU              = 98,
1834   MATOP_PRODUCTSETFROMOPTIONS    = 99,
1835   MATOP_PRODUCTSYMBOLIC          = 100,
1836   MATOP_PRODUCTNUMERIC           = 101,
1837   MATOP_CONJUGATE                = 102,
1838   MATOP_VIEW_NATIVE              = 103,
1839   MATOP_SET_VALUES_ROW           = 104,
1840   MATOP_REAL_PART                = 105,
1841   MATOP_IMAGINARY_PART           = 106,
1842   MATOP_GET_ROW_UPPER_TRIANGULAR = 107,
1843   MATOP_RESTORE_ROW_UPPER_TRIANG = 108,
1844   MATOP_MAT_SOLVE                = 109,
1845   MATOP_MAT_SOLVE_TRANSPOSE      = 110,
1846   MATOP_GET_ROW_MIN              = 111,
1847   MATOP_GET_COLUMN_VECTOR        = 112,
1848   MATOP_MISSING_DIAGONAL         = 113,
1849   MATOP_GET_SEQ_NONZERO_STRUCTUR = 114,
1850   MATOP_CREATE                   = 115,
1851   MATOP_GET_GHOSTS               = 116,
1852   MATOP_GET_LOCAL_SUB_MATRIX     = 117,
1853   MATOP_RESTORE_LOCALSUB_MATRIX  = 118,
1854   MATOP_MULT_DIAGONAL_BLOCK      = 119,
1855   MATOP_HERMITIAN_TRANSPOSE      = 120,
1856   MATOP_MULT_HERMITIAN_TRANSPOSE = 121,
1857   MATOP_MULT_HERMITIAN_TRANS_ADD = 122,
1858   MATOP_GET_MULTI_PROC_BLOCK     = 123,
1859   MATOP_FIND_NONZERO_ROWS        = 124,
1860   MATOP_GET_COLUMN_NORMS         = 125,
1861   MATOP_INVERT_BLOCK_DIAGONAL    = 126,
1862   MATOP_INVERT_VBLOCK_DIAGONAL   = 127,
1863   MATOP_CREATE_SUB_MATRICES_MPI  = 128,
1864   MATOP_SET_VALUES_BATCH         = 129,
1865   /* MATOP_PLACEHOLDER_130=130, */
1866   MATOP_TRANSPOSE_MAT_MULT_SYMBO = 131,
1867   MATOP_TRANSPOSE_MAT_MULT_NUMER = 132,
1868   MATOP_TRANSPOSE_COLORING_CREAT = 133,
1869   MATOP_TRANS_COLORING_APPLY_SPT = 134,
1870   MATOP_TRANS_COLORING_APPLY_DEN = 135,
1871   /* MATOP_PLACEHOLDER_136=136, */
1872   MATOP_RART_SYMBOLIC         = 137,
1873   MATOP_RART_NUMERIC          = 138,
1874   MATOP_SET_BLOCK_SIZES       = 139,
1875   MATOP_AYPX                  = 140,
1876   MATOP_RESIDUAL              = 141,
1877   MATOP_FDCOLORING_SETUP      = 142,
1878   MATOP_FIND_OFFBLOCK_ENTRIES = 143,
1879   MATOP_MPICONCATENATESEQ     = 144,
1880   MATOP_DESTROYSUBMATRICES    = 145,
1881   MATOP_TRANSPOSE_SOLVE       = 146,
1882   MATOP_GET_VALUES_LOCAL      = 147
1883 } MatOperation;
1884 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, void (*)(void));
1885 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, void (**)(void));
1886 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
1887 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
1888 PETSC_DEPRECATED_FUNCTION("Use MatProductClear() (since version 3.14)") static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
1889 {
1890   return MatProductClear(A);
1891 }
1892 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, void (*)(void));
1893 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, void (**)(void));
1894 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, void *);
1895 PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscErrorCode (*)(void *));
1896 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
1897 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
1898 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
1899 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1900 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscErrorCode (*)(void *), MatType, MatType);
1901 PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);
1902 
1903 /*
1904    Codes for matrices stored on disk. By default they are
1905    stored in a universal format. By changing the format with
1906    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1907    be stored in a way natural for the matrix, for example dense matrices
1908    would be stored as dense. Matrices stored this way may only be
1909    read into matrices of the same type.
1910 */
1911 #define MATRIX_BINARY_FORMAT_DENSE -1
1912 
1913 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);
1914 
1915 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
1916 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1917 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
1918 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
1919 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
1920 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
1921 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
1922 PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
1923 PETSC_EXTERN                PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat, MatReuse, Mat *);
1924 
1925 /*S
1926      MatNullSpace - Object that removes a null space from a vector, i.e.
1927          orthogonalizes the vector to a subspace
1928 
1929    Level: advanced
1930 
1931 .seealso: `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
1932 S*/
1933 typedef struct _p_MatNullSpace *MatNullSpace;
1934 
1935 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
1936 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, PetscErrorCode (*)(MatNullSpace, Vec, void *), void *);
1937 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
1938 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
1939 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1940 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1941 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
1942 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
1943 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
1944 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
1945 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
1946 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
1947 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
1948 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);
1949 
1950 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
1951 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
1952 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);
1953 
1954 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
1955 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
1956 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);
1957 
1958 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
1959 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);
1960 
1961 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
1962 {
1963   return MatComputeOperator(A, NULL, B);
1964 }
1965 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
1966 {
1967   return MatComputeOperatorTranspose(A, NULL, B);
1968 }
1969 
1970 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
1971 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
1972 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
1973 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
1974 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
1975 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
1976 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
1977 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
1978 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
1979 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
1980 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
1981 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
1982 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
1983 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);
1984 
1985 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);
1986 
1987 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
1988 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
1989 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, PetscErrorCode (*)(void *, Vec, Vec), void *);
1990 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, PetscErrorCode (*)(void *, PetscInt, Vec, PetscScalar *));
1991 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, PetscErrorCode (*)(void *, Vec));
1992 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
1993 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1994 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
1995 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
1996 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
1997 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
1998 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
1999 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, PetscErrorCode (*)(void *, Vec, Vec, PetscScalar *), void *);
2000 
2001 /*S
2002     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2003               Jacobian vector products
2004 
2005     Notes:
2006     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure
2007 
2008     MatMFFD*() methods actually take the Mat as their first argument. Not a `MatMFFD` data structure
2009 
2010     Level: developer
2011 
2012 .seealso: `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`
2013 S*/
2014 typedef struct _p_MatMFFD *MatMFFD;
2015 
2016 /*J
2017     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
2018 
2019    Level: beginner
2020 
2021 .seealso: `MatMFFDSetType()`, `MatMFFDRegister()`
2022 J*/
2023 typedef const char *MatMFFDType;
2024 #define MATMFFD_DS "ds"
2025 #define MATMFFD_WP "wp"
2026 
2027 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2028 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));
2029 
2030 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2031 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);
2032 
2033 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);
2034 
2035 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2036 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
2037 
2038 #ifdef PETSC_HAVE_H2OPUS
2039 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatH2OpusKernel)(PetscInt, PetscReal[], PetscReal[], void *);
2040 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernel, void *, PetscReal, PetscInt, PetscInt, Mat *);
2041 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2042 PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2043 PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
2044 PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat, PetscReal);
2045 PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat, PetscBool);
2046 PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat, PetscBool *);
2047 PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat, IS *);
2048 PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2049 PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2050 #endif
2051 
2052 #ifdef PETSC_HAVE_HTOOL
2053 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatHtoolKernel)(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2054 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernel, void *, Mat *);
2055 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat, MatHtoolKernel, void *);
2056 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat, IS *);
2057 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat, IS *);
2058 PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat, PetscBool);
2059 /*E
2060      MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`
2061 
2062    Level: beginner
2063 
2064     Values:
2065 +   `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2066 .   `MAT_HTOOL_COMPRESSOR_FULL_ACA` - full adaptive cross approximation
2067 -   `MAT_HTOOL_COMPRESSOR_SVD` - singular value decomposition
2068 
2069 .seealso: `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2070 E*/
2071 typedef enum {
2072   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2073   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2074   MAT_HTOOL_COMPRESSOR_SVD
2075 } MatHtoolCompressorType;
2076 /*E
2077      MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`
2078 
2079    Level: beginner
2080 
2081     Values:
2082 +   `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default) - axis computed via principle component analysis, split uniformly
2083 .   `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC` - axis computed via principle component analysis, split barycentrically
2084 .   `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR` - axis along the largest extent of the bounding box, split uniformly
2085 -   `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically
2086 
2087     Notes: higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
2088 
2089 .seealso: `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2090 E*/
2091 typedef enum {
2092   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2093   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2094   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2095   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2096 } MatHtoolClusteringType;
2097 #endif
2098 
2099 #ifdef PETSC_HAVE_MUMPS
2100 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2101 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2102 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2103 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);
2104 
2105 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2106 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2107 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2108 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2109 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2110 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2111 #endif
2112 
2113 #ifdef PETSC_HAVE_MKL_PARDISO
2114 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2115 #endif
2116 
2117 #ifdef PETSC_HAVE_MKL_CPARDISO
2118 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2119 #endif
2120 
2121 #ifdef PETSC_HAVE_SUPERLU
2122 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2123 #endif
2124 
2125 #ifdef PETSC_HAVE_SUPERLU_DIST
2126 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2127 #endif
2128 
2129 #ifdef PETSC_HAVE_STRUMPACK
2130 /*E
2131     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `STRUMPACK`
2132 
2133     Level: intermediate
2134 E*/
2135 typedef enum {
2136   MAT_STRUMPACK_NATURAL  = 0,
2137   MAT_STRUMPACK_METIS    = 1,
2138   MAT_STRUMPACK_PARMETIS = 2,
2139   MAT_STRUMPACK_SCOTCH   = 3,
2140   MAT_STRUMPACK_PTSCOTCH = 4,
2141   MAT_STRUMPACK_RCM      = 5
2142 } MatSTRUMPACKReordering;
2143 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2144 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2145 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat, PetscReal);
2146 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat, PetscReal rtol)
2147 {
2148   return MatSTRUMPACKSetHSSRelTol(mat, rtol);
2149 }
2150 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat, PetscReal);
2151 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat, PetscInt);
2152 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat, PetscInt hssminsize)
2153 {
2154   return MatSTRUMPACKSetHSSMinSepSize(mat, hssminsize);
2155 }
2156 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat, PetscInt);
2157 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat, PetscInt);
2158 #endif
2159 
2160 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2161 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2162 PETSC_DEPRECATED_FUNCTION("Use MatBindToCPU (since v3.13)") static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2163 {
2164   return MatBindToCPU(A, flg);
2165 }
2166 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2167 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);
2168 
2169 typedef struct _n_SplitCSRMat *PetscSplitCSRDataStructure;
2170 PETSC_EXTERN PetscErrorCode    MatCUSPARSEGetDeviceMatWrite(Mat, PetscSplitCSRDataStructure *);
2171 
2172 #ifdef PETSC_HAVE_KOKKOS_KERNELS
2173 PETSC_EXTERN PetscErrorCode MatKokkosGetDeviceMatWrite(Mat, PetscSplitCSRDataStructure *);
2174 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosSetDeviceMat(Mat, PetscSplitCSRDataStructure);
2175 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosGetDeviceMat(Mat, PetscSplitCSRDataStructure *);
2176 #endif
2177 
2178 #ifdef PETSC_HAVE_CUDA
2179 /*E
2180     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
2181     matrices.
2182 
2183     Not Collective
2184 
2185 +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2186 .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2187 -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2188 
2189     Level: intermediate
2190 
2191    Developer Note:
2192    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
2193 
2194 .seealso: `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2195 E*/
2196 
2197 typedef enum {
2198   MAT_CUSPARSE_CSR,
2199   MAT_CUSPARSE_ELL,
2200   MAT_CUSPARSE_HYB
2201 } MatCUSPARSEStorageFormat;
2202 
2203 /* these will be strings associated with enumerated type defined above */
2204 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2205 
2206 /*E
2207     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
2208     matrices whose operation should use a particular storage format.
2209 
2210     Not Collective
2211 
2212 +   `MAT_CUSPARSE_MULT_DIAG` - sets the storage format for the diagonal matrix in the parallel MatMult
2213 .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the offdiagonal matrix in the parallel MatMult
2214 .   `MAT_CUSPARSE_MULT` - sets the storage format for the entire matrix in the serial (single GPU) MatMult
2215 -   `MAT_CUSPARSE_ALL` - sets the storage format for all CUSPARSE (GPU) matrices
2216 
2217     Level: intermediate
2218 
2219 .seealso: `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2220 E*/
2221 typedef enum {
2222   MAT_CUSPARSE_MULT_DIAG,
2223   MAT_CUSPARSE_MULT_OFFDIAG,
2224   MAT_CUSPARSE_MULT,
2225   MAT_CUSPARSE_ALL
2226 } MatCUSPARSEFormatOperation;
2227 
2228 PETSC_EXTERN PetscErrorCode                  MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2229 PETSC_EXTERN PetscErrorCode                  MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2230 PETSC_EXTERN PetscErrorCode                  MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2231 PETSC_EXTERN PetscErrorCode                  MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2232 typedef struct Mat_SeqAIJCUSPARSETriFactors *Mat_SeqAIJCUSPARSETriFactors_p;
2233 PETSC_EXTERN PetscErrorCode                  MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2234 PETSC_EXTERN PetscErrorCode                  MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2235 PETSC_EXTERN PetscErrorCode                  MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2236 PETSC_EXTERN PetscErrorCode                  MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2237 PETSC_EXTERN PetscErrorCode                  MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2238 PETSC_EXTERN PetscErrorCode                  MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2239 PETSC_EXTERN PetscErrorCode                  MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2240 PETSC_EXTERN PetscErrorCode                  MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);
2241 
2242 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2243 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2244 PETSC_EXTERN PetscErrorCode MatMPIDenseCUDASetPreallocation(Mat, PetscScalar[]);
2245 PETSC_EXTERN PetscErrorCode MatSeqDenseCUDASetPreallocation(Mat, PetscScalar[]);
2246 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2247 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2248 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2249 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2250 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2251 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2252 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2253 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2254 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2255 
2256 #endif
2257 
2258 #if defined(PETSC_HAVE_VIENNACL)
2259 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2260 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2261 #endif
2262 
2263 #if defined(PETSC_HAVE_FFTW)
2264 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2265 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2266 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2267 #endif
2268 
2269 #if defined(PETSC_HAVE_SCALAPACK)
2270 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2271 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2272 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2273 #endif
2274 
2275 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2276 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2277 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2278 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2279 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2280 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2281 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2282 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2283 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);
2284 
2285 PETSC_EXTERN PetscErrorCode MatChop(Mat, PetscReal);
2286 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);
2287 
2288 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);
2289 
2290 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);
2291 
2292 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2293 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);
2294 
2295 PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);
2296 
2297 PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, Mat *);
2298 #endif
2299