xref: /petsc/include/petscmat.h (revision a69119a591a03a9d906b29c0a4e9802e4d7c9795)
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      "transpose"
92 #define MATSCHURCOMPLEMENT   "schurcomplement"
93 #define MATPYTHON            "python"
94 #define MATHYPRE             "hypre"
95 #define MATHYPRESTRUCT       "hyprestruct"
96 #define MATHYPRESSTRUCT      "hypresstruct"
97 #define MATSUBMATRIX         "submatrix"
98 #define MATLOCALREF          "localref"
99 #define MATNEST              "nest"
100 #define MATPREALLOCATOR      "preallocator"
101 #define MATSELL              "sell"
102 #define MATSEQSELL           "seqsell"
103 #define MATMPISELL           "mpisell"
104 #define MATDUMMY             "dummy"
105 #define MATLMVM              "lmvm"
106 #define MATLMVMDFP           "lmvmdfp"
107 #define MATLMVMBFGS          "lmvmbfgs"
108 #define MATLMVMSR1           "lmvmsr1"
109 #define MATLMVMBROYDEN       "lmvmbroyden"
110 #define MATLMVMBADBROYDEN    "lmvmbadbroyden"
111 #define MATLMVMSYMBROYDEN    "lmvmsymbroyden"
112 #define MATLMVMSYMBADBROYDEN "lmvmsymbadbroyden"
113 #define MATLMVMDIAGBROYDEN   "lmvmdiagbroyden"
114 #define MATCONSTANTDIAGONAL  "constantdiagonal"
115 #define MATHTOOL             "htool"
116 #define MATH2OPUS            "h2opus"
117 
118 /*J
119     MatSolverType - String with the name of a PETSc matrix solver type.
120 
121     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
122 
123    Level: beginner
124 
125    Notes:  MATSOLVERUMFPACK, MATSOLVERCHOLMOD, MATSOLVERKLU, MATSOLVERSPQR form the SuiteSparse package for which you can use --download-suitesparse
126 
127 .seealso: `MatGetFactor()`, `PCFactorSetMatSolverType()`, `PCFactorGetMatSolverType()`
128 J*/
129 typedef const char *MatSolverType;
130 #define MATSOLVERSUPERLU         "superlu"
131 #define MATSOLVERSUPERLU_DIST    "superlu_dist"
132 #define MATSOLVERSTRUMPACK       "strumpack"
133 #define MATSOLVERUMFPACK         "umfpack"
134 #define MATSOLVERCHOLMOD         "cholmod"
135 #define MATSOLVERKLU             "klu"
136 #define MATSOLVERSPARSEELEMENTAL "sparseelemental"
137 #define MATSOLVERELEMENTAL       "elemental"
138 #define MATSOLVERSCALAPACK       "scalapack"
139 #define MATSOLVERESSL            "essl"
140 #define MATSOLVERLUSOL           "lusol"
141 #define MATSOLVERMUMPS           "mumps"
142 #define MATSOLVERMKL_PARDISO     "mkl_pardiso"
143 #define MATSOLVERMKL_CPARDISO    "mkl_cpardiso"
144 #define MATSOLVERPASTIX          "pastix"
145 #define MATSOLVERMATLAB          "matlab"
146 #define MATSOLVERPETSC           "petsc"
147 #define MATSOLVERBAS             "bas"
148 #define MATSOLVERCUSPARSE        "cusparse"
149 #define MATSOLVERCUSPARSEBAND    "cusparseband"
150 #define MATSOLVERCUDA            "cuda"
151 #define MATSOLVERKOKKOS          "kokkos"
152 #define MATSOLVERKOKKOSDEVICE    "kokkosdevice"
153 #define MATSOLVERSPQR            "spqr"
154 
155 /*E
156     MatFactorType - indicates what type of factorization is requested
157 
158     Level: beginner
159 
160    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
161 
162 .seealso: `MatSolverType`, `MatGetFactor()`, `MatGetFactorAvailable()`, `MatSolverTypeRegister()`
163 E*/
164 typedef enum {
165   MAT_FACTOR_NONE,
166   MAT_FACTOR_LU,
167   MAT_FACTOR_CHOLESKY,
168   MAT_FACTOR_ILU,
169   MAT_FACTOR_ICC,
170   MAT_FACTOR_ILUDT,
171   MAT_FACTOR_QR,
172   MAT_FACTOR_NUM_TYPES
173 } MatFactorType;
174 PETSC_EXTERN const char *const MatFactorTypes[];
175 
176 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat, MatSolverType, MatFactorType, Mat *);
177 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat, MatSolverType, MatFactorType, PetscBool *);
178 PETSC_EXTERN PetscErrorCode MatFactorGetCanUseOrdering(Mat, PetscBool *);
179 PETSC_DEPRECATED_FUNCTION("Use MatFactorGetCanUseOrdering() (since version 3.15)") static inline PetscErrorCode MatFactorGetUseOrdering(Mat A, PetscBool *b) {
180   return MatFactorGetCanUseOrdering(A, b);
181 }
182 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat, MatSolverType *);
183 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat, MatFactorType *);
184 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat, MatFactorType);
185 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatSolverFunction)(Mat, MatFactorType, Mat *);
186 PETSC_EXTERN PetscErrorCode            MatSolverTypeRegister(MatSolverType, MatType, MatFactorType, MatSolverFunction);
187 PETSC_EXTERN PetscErrorCode            MatSolverTypeGet(MatSolverType, MatType, MatFactorType, PetscBool *, PetscBool *, MatSolverFunction *);
188 typedef MatSolverType MatSolverPackage PETSC_DEPRECATED_TYPEDEF("Use MatSolverType (since version 3.9)");
189 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeRegister() (since version 3.9)") static inline PetscErrorCode MatSolverPackageRegister(MatSolverType stype, MatType mtype, MatFactorType ftype, MatSolverFunction f) {
190   return MatSolverTypeRegister(stype, mtype, ftype, f);
191 }
192 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) {
193   return MatSolverTypeGet(stype, mtype, ftype, foundmtype, foundstype, f);
194 }
195 
196 /*E
197     MatProductType - indicates what type of matrix product is requested
198 
199     Level: beginner
200 
201 .seealso: `MatProductSetType()`
202 E*/
203 typedef enum {
204   MATPRODUCT_UNSPECIFIED = 0,
205   MATPRODUCT_AB,
206   MATPRODUCT_AtB,
207   MATPRODUCT_ABt,
208   MATPRODUCT_PtAP,
209   MATPRODUCT_RARt,
210   MATPRODUCT_ABC
211 } MatProductType;
212 PETSC_EXTERN const char *const MatProductTypes[];
213 
214 /*J
215     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
216 
217    Level: beginner
218 
219 .seealso: `MatSetType()`, `Mat`, `MatProductSetAlgorithm()`, `MatProductType`
220 J*/
221 typedef const char *MatProductAlgorithm;
222 #define MATPRODUCTALGORITHMDEFAULT         "default"
223 #define MATPRODUCTALGORITHMSORTED          "sorted"
224 #define MATPRODUCTALGORITHMSCALABLE        "scalable"
225 #define MATPRODUCTALGORITHMSCALABLEFAST    "scalable_fast"
226 #define MATPRODUCTALGORITHMHEAP            "heap"
227 #define MATPRODUCTALGORITHMBHEAP           "btheap"
228 #define MATPRODUCTALGORITHMLLCONDENSED     "llcondensed"
229 #define MATPRODUCTALGORITHMROWMERGE        "rowmerge"
230 #define MATPRODUCTALGORITHMOUTERPRODUCT    "outerproduct"
231 #define MATPRODUCTALGORITHMATB             "at*b"
232 #define MATPRODUCTALGORITHMRAP             "rap"
233 #define MATPRODUCTALGORITHMNONSCALABLE     "nonscalable"
234 #define MATPRODUCTALGORITHMSEQMPI          "seqmpi"
235 #define MATPRODUCTALGORITHMBACKEND         "backend"
236 #define MATPRODUCTALGORITHMOVERLAPPING     "overlapping"
237 #define MATPRODUCTALGORITHMMERGED          "merged"
238 #define MATPRODUCTALGORITHMALLATONCE       "allatonce"
239 #define MATPRODUCTALGORITHMALLATONCEMERGED "allatonce_merged"
240 #define MATPRODUCTALGORITHMALLGATHERV      "allgatherv"
241 #define MATPRODUCTALGORITHMCYCLIC          "cyclic"
242 #if defined(PETSC_HAVE_HYPRE)
243 #define MATPRODUCTALGORITHMHYPRE "hypre"
244 #endif
245 
246 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat, Mat, Mat, Mat *);
247 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat, Mat, Mat, Mat);
248 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat, MatProductType);
249 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat, MatProductAlgorithm);
250 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat, PetscReal);
251 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
252 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
253 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
254 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat, Mat, Mat, Mat);
255 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
256 PETSC_EXTERN PetscErrorCode MatProductView(Mat, PetscViewer);
257 PETSC_EXTERN PetscErrorCode MatProductGetType(Mat, MatProductType *);
258 PETSC_EXTERN PetscErrorCode MatProductGetMats(Mat, Mat *, Mat *, Mat *);
259 
260 /* Logging support */
261 #define MAT_FILE_CLASSID 1211216 /* used to indicate matrices in binary files */
262 PETSC_EXTERN PetscClassId MAT_CLASSID;
263 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
264 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
265 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
266 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
267 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
268 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
269 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
270 
271 /*E
272     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
273      are to be reused to store the new matrix values.
274 
275 $  MAT_INITIAL_MATRIX - create a new matrix
276 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
277 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
278 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
279 
280     Level: beginner
281 
282    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
283 
284 .seealso: `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatDestroyMatrices()`, `MatConvert()`
285 E*/
286 typedef enum {
287   MAT_INITIAL_MATRIX,
288   MAT_REUSE_MATRIX,
289   MAT_IGNORE_MATRIX,
290   MAT_INPLACE_MATRIX
291 } MatReuse;
292 
293 /*E
294     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
295      include the matrix values. Currently it is only used by MatGetSeqNonzeroStructure().
296 
297     Level: beginner
298 
299 .seealso: `MatGetSeqNonzeroStructure()`
300 E*/
301 typedef enum {
302   MAT_DO_NOT_GET_VALUES,
303   MAT_GET_VALUES
304 } MatCreateSubMatrixOption;
305 
306 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
307 
308 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm, Mat *);
309 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat, PetscInt, PetscInt, PetscInt, PetscInt);
310 PETSC_EXTERN PetscErrorCode MatSetType(Mat, MatType);
311 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat, VecType *);
312 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat, VecType);
313 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
314 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat, PetscObject, const char[]);
315 PETSC_EXTERN PetscErrorCode MatRegister(const char[], PetscErrorCode (*)(Mat));
316 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[], const char[], const char[]);
317 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat, const char[]);
318 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefixFactor(Mat, const char[]);
319 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefixFactor(Mat, const char[]);
320 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat, const char[]);
321 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat, const char *[]);
322 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat, PetscBool);
323 
324 PETSC_EXTERN PetscFunctionList MatList;
325 PETSC_EXTERN PetscFunctionList MatColoringList;
326 PETSC_EXTERN PetscFunctionList MatPartitioningList;
327 
328 /*E
329     MatStructure - Indicates if two matrices have the same nonzero structure
330 
331     Level: beginner
332 
333 $  SAME_NONZERO_PATTERN  - the two matrices have identical nonzero patterns
334 $  DIFFERENT_NONZERO_PATTERN - the two matrices may have different nonzero patterns
335 $  SUBSET_NONZERO_PATTERN - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
336 $  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
337 
338    Developer Notes:
339      Any additions/changes here MUST also be made in src/mat/f90-mod/petscmat.h
340 
341 .seealso: `MatCopy()`, `MatAXPY()`, `MatAYPX()`
342 E*/
343 typedef enum {
344   DIFFERENT_NONZERO_PATTERN,
345   SUBSET_NONZERO_PATTERN,
346   SAME_NONZERO_PATTERN,
347   UNKNOWN_NONZERO_PATTERN
348 } MatStructure;
349 PETSC_EXTERN const char *const MatStructures[];
350 
351 #if defined                 PETSC_HAVE_MKL_SPARSE
352 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
353 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
354 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
355 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
356 #endif
357 
358 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
359 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
360 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat, PetscInt, const PetscInt[]);
361 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
362 
363 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
364 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
365 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
366 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
367 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
368 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
369 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArray(Mat, const PetscScalar[]);
370 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], PetscInt[], PetscInt[], PetscScalar[], Mat *);
371 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm, Mat, Mat, const PetscInt[], Mat *);
372 
373 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
374 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
375 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
376 
377 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat, PetscCount, PetscInt[], PetscInt[]);
378 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat, PetscCount, PetscInt[], PetscInt[]);
379 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat, const PetscScalar[], InsertMode);
380 
381 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscInt[], Mat *);
382 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
383 
384 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
385 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
386 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
387 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
388 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], const PetscInt[]);
389 
390 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, void *, Mat *);
391 PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm, PetscInt, PetscInt, Mat *);
392 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat, Mat *);
393 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat, Mat *);
394 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat, Mat, Vec, Mat, Mat *);
395 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat, Mat *, Mat *, Vec *, Mat *);
396 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, ISLocalToGlobalMapping, ISLocalToGlobalMapping, Mat *);
397 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
398 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
399 
400 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm, VecScatter, Mat *);
401 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat, VecScatter);
402 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat, VecScatter *);
403 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt *, Mat *);
404 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat, Mat);
405 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
406 typedef enum {
407   MAT_COMPOSITE_MERGE_RIGHT,
408   MAT_COMPOSITE_MERGE_LEFT
409 } MatCompositeMergeType;
410 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat, MatCompositeMergeType);
411 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm, PetscInt, const Mat *, Mat *);
412 typedef enum {
413   MAT_COMPOSITE_ADDITIVE,
414   MAT_COMPOSITE_MULTIPLICATIVE
415 } MatCompositeType;
416 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat, MatCompositeType);
417 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat, MatCompositeType *);
418 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat, MatStructure);
419 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat, MatStructure *);
420 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat, PetscInt *);
421 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat, PetscInt, Mat *);
422 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat, const PetscScalar *);
423 
424 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm, PetscInt, const PetscInt[], MatType, Mat *);
425 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm, PetscInt, const PetscInt[], Mat *);
426 
427 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat, Mat *);
428 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat, Mat *);
429 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat, Mat *);
430 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat, Mat *);
431 PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat, Mat *);
432 PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat, Mat *);
433 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat, IS, IS, Mat *);
434 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat, Mat, IS, IS);
435 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat, IS, IS, Mat *);
436 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar, Mat *);
437 
438 #if defined(PETSC_HAVE_HYPRE)
439 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
440 #endif
441 
442 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat, const char[]);
443 PETSC_EXTERN PetscErrorCode MatPythonGetType(Mat, const char *[]);
444 
445 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
446 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
447 PETSC_EXTERN PetscErrorCode MatDestroy(Mat *);
448 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat, PetscObjectState *);
449 
450 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
451 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
452 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
453 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat, Mat *);
454 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat, PetscScalar *);
455 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat, const PetscScalar **);
456 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat, PetscInt, const PetscInt *, PetscScalar *);
457 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat, Mat);
458 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat, MatReuse, Mat *);
459 
460 /* ------------------------------------------------------------*/
461 PETSC_EXTERN PetscErrorCode MatSetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
462 PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat, IS, IS, const PetscScalar[], InsertMode);
463 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
464 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat, PetscInt, const PetscScalar[]);
465 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat, PetscInt, const PetscScalar[]);
466 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt[], const PetscScalar[]);
467 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat, PetscRandom);
468 
469 /*S
470      MatStencil - Data structure (C struct) for storing information about a single row or
471         column of a matrix as indexed on an associated grid. These are arguments to `MatSetStencil()` and `MatSetBlockStencil()`
472 
473    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).
474    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.
475 
476    For stencil access to vectors see `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`.
477 
478    Fortran usage is different, see `MatSetValuesStencil()` for details.
479 
480    Level: beginner
481 
482 .seealso: `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`
483 S*/
484 typedef struct {
485   PetscInt k, j, i, c;
486 } MatStencil;
487 
488 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
489 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
490 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat, PetscInt, const PetscInt[], const PetscInt[], PetscInt);
491 
492 /*E
493     MatAssemblyType - Indicates if the matrix is now to be used, for example in a solver, or if you plan
494      to continue to add or insert values to it
495 
496     Level: beginner
497 
498 .seealso: `MatAssemblyBegin()`, `MatAssemblyEnd()`
499 E*/
500 typedef enum {
501   MAT_FLUSH_ASSEMBLY = 1,
502   MAT_FINAL_ASSEMBLY = 0
503 } MatAssemblyType;
504 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat, MatAssemblyType);
505 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat, MatAssemblyType);
506 PETSC_EXTERN PetscErrorCode MatAssembled(Mat, PetscBool *);
507 
508 /*E
509     MatOption - Options that may be set for a matrix and its behavior or storage
510 
511     Level: beginner
512 
513    Developer Notes:
514    Entries that are negative need not be called collectively by all processes.
515 
516    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
517 
518    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
519 
520 .seealso: `MatSetOption()`
521 E*/
522 typedef enum {
523   MAT_OPTION_MIN                  = -3,
524   MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
525   MAT_ROW_ORIENTED                = -1,
526   MAT_SYMMETRIC                   = 1,
527   MAT_STRUCTURALLY_SYMMETRIC      = 2,
528   MAT_FORCE_DIAGONAL_ENTRIES      = 3,
529   MAT_IGNORE_OFF_PROC_ENTRIES     = 4,
530   MAT_USE_HASH_TABLE              = 5,
531   MAT_KEEP_NONZERO_PATTERN        = 6,
532   MAT_IGNORE_ZERO_ENTRIES         = 7,
533   MAT_USE_INODES                  = 8,
534   MAT_HERMITIAN                   = 9,
535   MAT_SYMMETRY_ETERNAL            = 10,
536   MAT_NEW_NONZERO_LOCATION_ERR    = 11,
537   MAT_IGNORE_LOWER_TRIANGULAR     = 12,
538   MAT_ERROR_LOWER_TRIANGULAR      = 13,
539   MAT_GETROW_UPPERTRIANGULAR      = 14,
540   MAT_SPD                         = 15,
541   MAT_NO_OFF_PROC_ZERO_ROWS       = 16,
542   MAT_NO_OFF_PROC_ENTRIES         = 17,
543   MAT_NEW_NONZERO_LOCATIONS       = 18,
544   MAT_NEW_NONZERO_ALLOCATION_ERR  = 19,
545   MAT_SUBSET_OFF_PROC_ENTRIES     = 20,
546   MAT_SUBMAT_SINGLEIS             = 21,
547   MAT_STRUCTURE_ONLY              = 22,
548   MAT_SORTED_FULL                 = 23,
549   MAT_FORM_EXPLICIT_TRANSPOSE     = 24,
550   MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
551   MAT_SPD_ETERNAL                 = 26,
552   MAT_OPTION_MAX                  = 27
553 } MatOption;
554 
555 PETSC_EXTERN const char *const *MatOptions;
556 PETSC_EXTERN PetscErrorCode     MatSetOption(Mat, MatOption, PetscBool);
557 PETSC_EXTERN PetscErrorCode     MatGetOption(Mat, MatOption, PetscBool *);
558 PETSC_EXTERN PetscErrorCode     MatPropagateSymmetryOptions(Mat, Mat);
559 PETSC_EXTERN PetscErrorCode     MatGetType(Mat, MatType *);
560 
561 PETSC_EXTERN PetscErrorCode    MatGetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
562 PETSC_EXTERN PetscErrorCode    MatGetRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
563 PETSC_EXTERN PetscErrorCode    MatRestoreRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
564 PETSC_EXTERN PetscErrorCode    MatGetRowUpperTriangular(Mat);
565 PETSC_EXTERN PetscErrorCode    MatRestoreRowUpperTriangular(Mat);
566 PETSC_EXTERN PetscErrorCode    MatGetColumnVector(Mat, Vec, PetscInt);
567 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArray(Mat, PetscScalar *[]);
568 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayRead(Mat, const PetscScalar *[]);
569 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayWrite(Mat, PetscScalar *[]);
570 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArray(Mat, PetscScalar *[]);
571 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayRead(Mat, const PetscScalar *[]);
572 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayWrite(Mat, PetscScalar *[]);
573 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetMaxRowNonzeros(Mat, PetscInt *);
574 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetValuesLocalFast(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
575 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetType(Mat, MatType);
576 PETSC_EXTERN PetscErrorCode    MatSeqAIJKron(Mat, Mat, MatReuse, Mat *);
577 PETSC_EXTERN PetscErrorCode    MatSeqAIJRegister(const char[], PetscErrorCode (*)(Mat, MatType, MatReuse, Mat *));
578 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
579 PETSC_EXTERN PetscErrorCode    MatSeqBAIJGetArray(Mat, PetscScalar *[]);
580 PETSC_EXTERN PetscErrorCode    MatSeqBAIJRestoreArray(Mat, PetscScalar *[]);
581 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJGetArray(Mat, PetscScalar *[]);
582 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJRestoreArray(Mat, PetscScalar *[]);
583 PETSC_EXTERN PetscErrorCode    MatDenseGetArray(Mat, PetscScalar *[]);
584 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArray(Mat, PetscScalar *[]);
585 PETSC_EXTERN PetscErrorCode    MatDensePlaceArray(Mat, const PetscScalar[]);
586 PETSC_EXTERN PetscErrorCode    MatDenseReplaceArray(Mat, const PetscScalar[]);
587 PETSC_EXTERN PetscErrorCode    MatDenseResetArray(Mat);
588 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayRead(Mat, const PetscScalar *[]);
589 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayRead(Mat, const PetscScalar *[]);
590 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWrite(Mat, PetscScalar *[]);
591 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWrite(Mat, PetscScalar *[]);
592 PETSC_EXTERN PetscErrorCode    MatGetBlockSize(Mat, PetscInt *);
593 PETSC_EXTERN PetscErrorCode    MatSetBlockSize(Mat, PetscInt);
594 PETSC_EXTERN PetscErrorCode    MatGetBlockSizes(Mat, PetscInt *, PetscInt *);
595 PETSC_EXTERN PetscErrorCode    MatSetBlockSizes(Mat, PetscInt, PetscInt);
596 PETSC_EXTERN PetscErrorCode    MatSetBlockSizesFromMats(Mat, Mat, Mat);
597 PETSC_EXTERN PetscErrorCode    MatSetVariableBlockSizes(Mat, PetscInt, PetscInt *);
598 PETSC_EXTERN PetscErrorCode    MatGetVariableBlockSizes(Mat, PetscInt *, const PetscInt **);
599 
600 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat, PetscInt, PetscScalar *[]);
601 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat, PetscScalar *[]);
602 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat, PetscInt, Vec *);
603 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat, PetscInt, Vec *);
604 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat, PetscInt, Vec *);
605 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat, PetscInt, Vec *);
606 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat, PetscInt, Vec *);
607 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat, PetscInt, Vec *);
608 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
609 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat, Mat *);
610 
611 PETSC_EXTERN PetscErrorCode MatMult(Mat, Vec, Vec);
612 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat, Vec, Vec);
613 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat, Vec, Vec, Vec);
614 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat, Vec, Vec);
615 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat, Vec, Vec);
616 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat, Mat, PetscReal, PetscBool *);
617 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat, Mat, PetscReal, PetscBool *);
618 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat, Vec, Vec, Vec);
619 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat, Vec, Vec, Vec);
620 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat, Mat, Mat);
621 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat, Mat, Mat);
622 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat, Mat, Mat);
623 PETSC_EXTERN PetscErrorCode MatResidual(Mat, Vec, Vec, Vec);
624 
625 /*E
626     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
627   its numerical values copied over or just its nonzero structure.
628 
629     Level: beginner
630 
631    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
632 
633 $   `MAT_DO_NOT_COPY_VALUES`    - Create a matrix using the same nonzero pattern as the original matrix,
634 $                               with zeros for the numerical values.
635 $   `MAT_COPY_VALUES`           - Create a matrix with the same nonzero pattern as the original matrix
636 $                               and with the same numerical values.
637 $   `MAT_SHARE_NONZERO_PATTERN` - Create a matrix that shares the nonzero structure with the previous matrix
638 $                               and does not copy it, using zeros for the numerical values. The parent and
639 $                               child matrices will share their index (i and j) arrays, and you cannot
640 $                               insert new nonzero entries into either matrix.
641 
642   Note:
643   Many matrix types (including `MATSEQAIJ`) do not support the `MAT_SHARE_NONZERO_PATTERN` optimization; in
644   this case the behavior is as if `MAT_DO_NOT_COPY_VALUES` has been specified.
645 
646 .seealso: `MatDuplicate()`
647 E*/
648 typedef enum {
649   MAT_DO_NOT_COPY_VALUES,
650   MAT_COPY_VALUES,
651   MAT_SHARE_NONZERO_PATTERN
652 } MatDuplicateOption;
653 
654 PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
655 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);
656 
657 PETSC_EXTERN PetscErrorCode MatCopy(Mat, Mat, MatStructure);
658 PETSC_EXTERN PetscErrorCode MatView(Mat, PetscViewer);
659 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat, PetscReal, PetscBool *);
660 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat, PetscBool *);
661 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat, PetscReal, PetscBool *);
662 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat, PetscBool *, PetscBool *);
663 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat, PetscBool *, PetscBool *);
664 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat, PetscBool *, PetscBool *);
665 PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat, PetscBool *, PetscBool *);
666 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat, PetscBool *, PetscInt *);
667 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
668 
669 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
670 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
671 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
672 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
673 
674 /*S
675      MatInfo - Context of matrix information, used with `MatGetInfo()`
676 
677    In Fortran this is simply a double precision array of dimension `MAT_INFO_SIZE`
678 
679    Level: intermediate
680 
681 .seealso: `MatGetInfo()`, `MatInfoType`
682 S*/
683 typedef struct {
684   PetscLogDouble block_size;                          /* block size */
685   PetscLogDouble nz_allocated, nz_used, nz_unneeded;  /* number of nonzeros */
686   PetscLogDouble memory;                              /* memory allocated */
687   PetscLogDouble assemblies;                          /* number of matrix assemblies called */
688   PetscLogDouble mallocs;                             /* number of mallocs during MatSetValues() */
689   PetscLogDouble fill_ratio_given, fill_ratio_needed; /* fill ratio for LU/ILU */
690   PetscLogDouble factor_mallocs;                      /* number of mallocs during factorization */
691 } MatInfo;
692 
693 /*E
694     MatInfoType - Indicates if you want information about the local part of the matrix,
695      the entire parallel matrix or the maximum over all the local parts.
696 
697     Level: beginner
698 
699    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
700 
701 .seealso: `MatGetInfo()`, `MatInfo`
702 E*/
703 typedef enum {
704   MAT_LOCAL      = 1,
705   MAT_GLOBAL_MAX = 2,
706   MAT_GLOBAL_SUM = 3
707 } MatInfoType;
708 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat, MatInfoType, MatInfo *);
709 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat, Vec);
710 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat, Vec, PetscInt[]);
711 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat, Vec, PetscInt[]);
712 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat, Vec, PetscInt[]);
713 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat, Vec, PetscInt[]);
714 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat, Vec);
715 PETSC_EXTERN PetscErrorCode MatTranspose(Mat, MatReuse, Mat *);
716 PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat, Mat *);
717 PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat, Mat);
718 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat, MatReuse, Mat *);
719 PETSC_EXTERN PetscErrorCode MatPermute(Mat, IS, IS, Mat *);
720 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat, Vec, Vec);
721 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat, Vec, InsertMode);
722 
723 PETSC_EXTERN PetscErrorCode MatEqual(Mat, Mat, PetscBool *);
724 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat, Mat, PetscInt, PetscBool *);
725 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat, Mat, PetscInt, PetscBool *);
726 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
727 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
728 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
729 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
730 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
731 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
732 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
733 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
734 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
735 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat, PetscInt, PetscBool *);
736 
737 PETSC_EXTERN PetscErrorCode MatNorm(Mat, NormType, PetscReal *);
738 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat, NormType, PetscReal *);
739 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat, PetscScalar *);
740 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat, PetscReal *);
741 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat, PetscReal *);
742 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat, PetscScalar *);
743 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat, PetscReal *);
744 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat, PetscReal *);
745 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat, PetscInt, PetscReal *);
746 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
747 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
748 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
749 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat, IS, PetscScalar, Vec, Vec);
750 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
751 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
752 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
753 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat, IS, PetscScalar, Vec, Vec);
754 
755 PETSC_EXTERN PetscErrorCode MatGetSize(Mat, PetscInt *, PetscInt *);
756 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat, PetscInt *, PetscInt *);
757 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat, PetscInt *, PetscInt *);
758 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat, const PetscInt **);
759 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat, PetscInt *, PetscInt *);
760 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat, const PetscInt **);
761 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat, IS *, IS *);
762 
763 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
764 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[]) {
765   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
766 }
767 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
768 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[]) {
769   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
770 }
771 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
772 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
773 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
774 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatrix() (since version 3.8)") static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat) {
775   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
776 }
777 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
778 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
779 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
780 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);
781 
782 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm, Mat, PetscInt, PetscInt, MatReuse, Mat *);
783 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm, Mat, PetscInt, PetscInt, Mat *);
784 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat, Mat);
785 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat, MatReuse, Mat *);
786 PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat, Mat *);
787 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
788 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat, MatReuse, IS *, Mat *);
789 PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat, PetscCount *);
790 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat, Mat, MatReuse, IS *, IS *, Mat *);
791 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *, const PetscInt *[]);
792 
793 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
794 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat, PetscInt n, IS is[], PetscInt ov);
795 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);
796 
797 PETSC_EXTERN PetscErrorCode MatMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
798 
799 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
800 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
801 
802 PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
803 PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);
804 
805 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
806 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);
807 
808 PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
809 PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);
810 
811 PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
812 PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);
813 
814 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping, ISLocalToGlobalMapping);
815 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
816 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat, PetscLayout *, PetscLayout *);
817 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat, PetscLayout, PetscLayout);
818 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
819 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
820 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
821 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
822 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
823 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
824 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
825 
826 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
827 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);
828 
829 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat, Vec, Vec);
830 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat, Vec, Vec, Vec);
831 PETSC_EXTERN PetscErrorCode MatRestrict(Mat, Vec, Vec);
832 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat, Mat, Mat *);
833 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat, Mat, Mat, Mat *);
834 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat, Mat, Mat *);
835 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat, Vec *, Vec *);
836 PETSC_DEPRECATED_FUNCTION("Use MatCreateVecs() (since version 3.6)") static inline PetscErrorCode MatGetVecs(Mat mat, Vec *x, Vec *y) {
837   return MatCreateVecs(mat, x, y);
838 }
839 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat, PetscInt, MPI_Comm, MatReuse, Mat *);
840 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat, MPI_Comm, MatReuse, Mat *);
841 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat, IS *);
842 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat, IS *);
843 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm, Mat, PetscInt, MatReuse, Mat *);
844 
845 /*MC
846    MatSetValue - Set a single entry into a matrix.
847 
848    Not collective
849 
850    Synopsis:
851      #include <petscmat.h>
852      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
853 
854    Input Parameters:
855 +  m - the matrix
856 .  row - the row location of the entry
857 .  col - the column location of the entry
858 .  value - the value to insert
859 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
860 
861    Notes:
862    For efficiency one should use `MatSetValues()` and set several values simultaneously.
863 
864    Level: beginner
865 
866 .seealso: `MatGetValue()`, `MatSetValues()`, `MatSetValueLocal()`, `MatSetValuesLocal()`
867 M*/
868 static inline PetscErrorCode MatSetValue(Mat v, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode) {
869   return MatSetValues(v, 1, &i, 1, &j, &va, mode);
870 }
871 
872 /*@C
873    MatGetValue - Gets a single value from a matrix
874 
875    Not Collective; can only return a value owned by the given process
876 
877    Input Parameters:
878 +  mat - the matrix
879 .  row - the row location of the entry
880 -  col - the column location of the entry
881 
882    Output Parameter:
883 .  va - the value
884 
885    Notes:
886    For efficiency one should use `MatGetValues()` and get several values simultaneously.
887 
888    See notes for `MatGetValues()`.
889 
890    Level: advanced
891 
892 .seealso: `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
893 @*/
894 static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va) {
895   return MatGetValues(mat, 1, &row, 1, &col, va);
896 }
897 
898 /*MC
899    MatSetValueLocal - Inserts or adds a single value into a matrix,
900    using a local numbering of the nodes.
901 
902    Not Collective
903 
904    Input Parameters:
905 +  m - the matrix
906 .  row - the row location of the entry
907 .  col - the column location of the entry
908 .  value - the value to insert
909 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
910 
911    Notes:
912    For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.
913 
914    See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.
915 
916    Level: intermediate
917 
918 .seealso: `MatSetValue()`, `MatSetValuesLocal()`
919 M*/
920 static inline PetscErrorCode MatSetValueLocal(Mat v, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode) {
921   return MatSetValuesLocal(v, 1, &i, 1, &j, &va, mode);
922 }
923 
924 /*MC
925    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
926        row in a matrix providing the data that one can use to correctly preallocate the matrix.
927 
928    Synopsis:
929    #include <petscmat.h>
930    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
931 
932    Collective
933 
934    Input Parameters:
935 +  comm - the communicator that will share the eventually allocated matrix
936 .  nrows - the number of LOCAL rows in the matrix
937 -  ncols - the number of LOCAL columns in the matrix
938 
939    Output Parameters:
940 +  dnz - the array that will be passed to the matrix preallocation routines
941 -  onz - the other array passed to the matrix preallocation routines
942 
943    Level: intermediate
944 
945    Notes:
946     This is a macro that handles its own error checking, it does not return an error code.
947 
948     See Users-Manual: ch_performance for more details.
949 
950     Do not malloc or free dnz and onz, that is handled internally by these routines
951 
952    Developer Notes:
953     This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
954 
955 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
956           `MatPreallocateSymmetricSetLocalBlock()`
957 M*/
958 #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
959   do { \
960     PetscInt __nrows = (nrows), __ncols = (ncols), __rstart, __start, __end = 0; \
961     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
962     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
963     __start = __end - __ncols; \
964     (void)__start; \
965     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
966   __rstart -= __nrows
967 
968 #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateBegin() (since version 3.18)\"") MatPreallocateBegin(__VA_ARGS__)
969 
970 /*MC
971    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
972        inserted using a local number of the rows and columns
973 
974    Synopsis:
975    #include <petscmat.h>
976    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
977 
978    Not Collective
979 
980    Input Parameters:
981 +  map - the row mapping from local numbering to global numbering
982 .  nrows - the number of rows indicated
983 .  rows - the indices of the rows
984 .  cmap - the column mapping from local to global numbering
985 .  ncols - the number of columns in the matrix
986 .  cols - the columns indicated
987 .  dnz - the array that will be passed to the matrix preallocation routines
988 -  onz - the other array passed to the matrix preallocation routines
989 
990    Level: intermediate
991 
992    Notes:
993     See Users-Manual: ch_performance for more details.
994 
995    Do not malloc or free dnz and onz, that is handled internally by these routines
996 
997 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
998           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
999 M*/
1000 #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1001   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));)
1002 
1003 /*MC
1004    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1005        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
1006 
1007    Synopsis:
1008    #include <petscmat.h>
1009    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1010 
1011    Not Collective
1012 
1013    Input Parameters:
1014 +  map - the row mapping from local numbering to global numbering
1015 .  nrows - the number of rows indicated
1016 .  rows - the indices of the rows (these values are mapped to the global values)
1017 .  cmap - the column mapping from local to global numbering
1018 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1019 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1020 .  dnz - the array that will be passed to the matrix preallocation routines
1021 -  onz - the other array passed to the matrix preallocation routines
1022 
1023    Level: intermediate
1024 
1025    Notes:
1026     See Users-Manual: ch_performance for more details.
1027 
1028    Do not malloc or free dnz and onz, that is handled internally by these routines
1029 
1030 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1031           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1032 M*/
1033 #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1034   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));)
1035 
1036 /*MC
1037    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1038        inserted using a local number of the rows and columns
1039 
1040    Synopsis:
1041    #include <petscmat.h>
1042    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1043 
1044    Not Collective
1045 
1046    Input Parameters:
1047 +  map - the row mapping from local numbering to global numbering
1048 .  nrows - the number of rows indicated
1049 .  rows - the indices of the rows
1050 .  cmap - the column mapping from local to global numbering
1051 .  ncols - the number of columns in the matrix
1052 .  cols - the columns indicated
1053 .  dnz - the array that will be passed to the matrix preallocation routines
1054 -  onz - the other array passed to the matrix preallocation routines
1055 
1056    Level: intermediate
1057 
1058    Notes:
1059     See Users-Manual: ch_performance for more details.
1060 
1061    Do not malloc or free dnz and onz, that is handled internally by these routines
1062 
1063 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1064           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1065 M*/
1066 #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1067   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));)
1068 
1069 /*MC
1070    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1071        inserted using a local number of the rows and columns
1072 
1073    Synopsis:
1074    #include <petscmat.h>
1075    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1076 
1077    Not Collective
1078 
1079    Input Parameters:
1080 +  map - the mapping between local numbering and global numbering
1081 .  nrows - the number of rows indicated
1082 .  rows - the indices of the rows
1083 .  ncols - the number of columns in the matrix
1084 .  cols - the columns indicated
1085 .  dnz - the array that will be passed to the matrix preallocation routines
1086 -  onz - the other array passed to the matrix preallocation routines
1087 
1088    Level: intermediate
1089 
1090    Notes:
1091     See Users-Manual: ch_performance for more details.
1092 
1093    Do not malloc or free dnz and onz that is handled internally by these routines
1094 
1095 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`
1096           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1097 M*/
1098 #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1099   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));)
1100 
1101 /*MC
1102    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1103        inserted using a local number of the rows and columns
1104 
1105    Synopsis:
1106    #include <petscmat.h>
1107    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1108 
1109    Not Collective
1110 
1111    Input Parameters:
1112 +  row - the row
1113 .  ncols - the number of columns in the matrix
1114 -  cols - the columns indicated
1115 
1116    Output Parameters:
1117 +  dnz - the array that will be passed to the matrix preallocation routines
1118 -  onz - the other array passed to the matrix preallocation routines
1119 
1120    Level: intermediate
1121 
1122    Notes:
1123     See Users-Manual: ch_performance for more details.
1124 
1125    Do not malloc or free dnz and onz that is handled internally by these routines
1126 
1127    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1128 
1129 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1130           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1131 M*/
1132 #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1133   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) { \
1134     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1135     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1136   })
1137 
1138 /*MC
1139    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1140        inserted using a local number of the rows and columns
1141 
1142    Synopsis:
1143    #include <petscmat.h>
1144    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1145 
1146    Not Collective
1147 
1148    Input Parameters:
1149 +  nrows - the number of rows indicated
1150 .  rows - the indices of the rows
1151 .  ncols - the number of columns in the matrix
1152 .  cols - the columns indicated
1153 .  dnz - the array that will be passed to the matrix preallocation routines
1154 -  onz - the other array passed to the matrix preallocation routines
1155 
1156    Level: intermediate
1157 
1158    Notes:
1159     See Users-Manual: ch_performance for more details.
1160 
1161    Do not malloc or free dnz and onz that is handled internally by these routines
1162 
1163    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1164 
1165 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1166           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1167 M*/
1168 #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1169   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
1170     if (cols[__i] >= __end) onz[row - __rstart]++; \
1171     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1172   })
1173 
1174 /*MC
1175    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1176 
1177    Synopsis:
1178    #include <petscmat.h>
1179    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1180 
1181    Not Collective
1182 
1183    Input Parameters:
1184 +  A - matrix
1185 .  row - row where values exist (must be local to this process)
1186 .  ncols - number of columns
1187 .  cols - columns with nonzeros
1188 .  dnz - the array that will be passed to the matrix preallocation routines
1189 -  onz - the other array passed to the matrix preallocation routines
1190 
1191    Level: intermediate
1192 
1193    Notes:
1194     See Users-Manual: ch_performance for more details.
1195 
1196    Do not malloc or free dnz and onz that is handled internally by these routines
1197 
1198    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
1199 
1200 .seealso: `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1201           `MatPreallocateSymmetricSetLocalBlock()`
1202 M*/
1203 #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))
1204 
1205 /*MC
1206    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1207        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1208 
1209    Synopsis:
1210    #include <petscmat.h>
1211    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)
1212 
1213    Collective
1214 
1215    Input Parameters:
1216 +  dnz - the array that was be passed to the matrix preallocation routines
1217 -  onz - the other array passed to the matrix preallocation routines
1218 
1219    Level: intermediate
1220 
1221    Notes:
1222     This is a macro that handles its own error checking, it does not return an error code.
1223 
1224     See Users-Manual: ch_performance for more details.
1225 
1226     Do not malloc or free dnz and onz, that is handled internally by these routines
1227 
1228    Developer Notes:
1229     This is a MACRO not a function because it closes the { started in MatPreallocateBegin().
1230 
1231 .seealso: `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1232           `MatPreallocateSymmetricSetLocalBlock()`
1233 M*/
1234 #define MatPreallocateEnd(dnz, onz) \
1235   PetscCall(PetscFree2(dnz, onz)); \
1236   } \
1237   while (0)
1238 
1239 #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateEnd() (since version 3.18)\"") MatPreallocateEnd(__VA_ARGS__)
1240 
1241 /* Routines unique to particular data structures */
1242 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, void *);
1243 
1244 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1245 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);
1246 
1247 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1248 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1249 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1250 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1251 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1252 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscInt, PetscBool);
1253 
1254 #define MAT_SKIP_ALLOCATION -4
1255 
1256 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1257 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1258 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1259 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);
1260 
1261 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1262 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1263 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1264 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1265 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1266 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1267 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1268 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1269 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1270 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1271 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1272 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1273 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1274 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1275 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);
1276 
1277 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1278 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1279 PETSC_DEPRECATED_FUNCTION("Use MatDenseSetLDA() (since version 3.14)") static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda) {
1280   return MatDenseSetLDA(A, lda);
1281 }
1282 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);
1283 
1284 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1285 
1286 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1287 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1288 
1289 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1290 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1291 /*
1292   These routines are not usually accessed directly, rather solving is
1293   done through the KSP and PC interfaces.
1294 */
1295 
1296 /*J
1297     MatOrderingType - String with the name of a PETSc matrix ordering
1298 
1299    Level: beginner
1300 
1301    Notes:
1302       If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and utilizes one built into the factorization package
1303 
1304 .seealso: `MatGetOrdering()`
1305 J*/
1306 typedef const char *MatOrderingType;
1307 #define MATORDERINGNATURAL       "natural"
1308 #define MATORDERINGND            "nd"
1309 #define MATORDERING1WD           "1wd"
1310 #define MATORDERINGRCM           "rcm"
1311 #define MATORDERINGQMD           "qmd"
1312 #define MATORDERINGROWLENGTH     "rowlength"
1313 #define MATORDERINGWBM           "wbm"
1314 #define MATORDERINGSPECTRAL      "spectral"
1315 #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1316 #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1317 #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 */
1318 #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */
1319 
1320 PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1321 PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1322 PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1323 PETSC_EXTERN PetscFunctionList MatOrderingList;
1324 
1325 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1326 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);
1327 
1328 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);
1329 
1330 /*S
1331     MatFactorShiftType - Numeric Shift for factorizations
1332 
1333    Level: beginner
1334 
1335 .seealso: `MatGetFactor()`
1336 S*/
1337 typedef enum {
1338   MAT_SHIFT_NONE,
1339   MAT_SHIFT_NONZERO,
1340   MAT_SHIFT_POSITIVE_DEFINITE,
1341   MAT_SHIFT_INBLOCKS
1342 } MatFactorShiftType;
1343 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1344 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1345 
1346 /*S
1347     MatFactorError - indicates what type of error was generated in a matrix factorization
1348 
1349     Level: beginner
1350 
1351     Developer Note:
1352     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1353 
1354 .seealso: `MatGetFactor()`
1355 S*/
1356 typedef enum {
1357   MAT_FACTOR_NOERROR,
1358   MAT_FACTOR_STRUCT_ZEROPIVOT,
1359   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1360   MAT_FACTOR_OUTMEMORY,
1361   MAT_FACTOR_OTHER
1362 } MatFactorError;
1363 
1364 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1365 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1366 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);
1367 
1368 /*S
1369    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1370 
1371    In Fortran these are simply double precision arrays of size `MAT_FACTORINFO_SIZE`, that is use
1372 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1373 
1374    Notes:
1375     These are not usually directly used by users, instead use `PC` type of `PCLU`, `PCILU`, `PCCHOLESKY` or `PCICC`.
1376 
1377       You can use `MatFactorInfoInitialize()` to set default values.
1378 
1379    Level: developer
1380 
1381 .seealso: `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`, `MatICCFactorSymbolic()`, `MatICCFactor()`,
1382           `MatFactorInfoInitialize()`
1383 
1384 S*/
1385 typedef struct {
1386   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1387   PetscReal usedt;
1388   PetscReal dt;            /* drop tolerance */
1389   PetscReal dtcol;         /* tolerance for pivoting */
1390   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1391   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1392   PetscReal levels;        /* ICC/ILU(levels) */
1393   PetscReal pivotinblocks; /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1394                                    factorization may be faster if do not pivot */
1395   PetscReal zeropivot;     /* pivot is called zero if less than this */
1396   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1397   PetscReal shiftamount;   /* how large the shift is */
1398 } MatFactorInfo;
1399 
1400 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1401 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1402 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1403 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1404 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1405 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1406 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1407 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1408 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1409 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1410 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1411 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1412 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1413 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1414 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1415 PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1416 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1417 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1418 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1419 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1420 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1421 PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1422 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1423 
1424 typedef enum {
1425   MAT_FACTOR_SCHUR_UNFACTORED,
1426   MAT_FACTOR_SCHUR_FACTORED,
1427   MAT_FACTOR_SCHUR_INVERTED
1428 } MatFactorSchurStatus;
1429 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1430 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1431 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1432 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1433 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1434 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1435 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1436 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1437 
1438 PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1439 /*E
1440     MatSORType - What type of (S)SOR to perform
1441 
1442     Level: beginner
1443 
1444    May be bitwise ORd together
1445 
1446    Developer Notes:
1447    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1448 
1449   `MatSORType` may be bitwise ORd together, so do not change the numerical values
1450 
1451 .seealso: `MatSOR()`
1452 E*/
1453 typedef enum {
1454   SOR_FORWARD_SWEEP         = 1,
1455   SOR_BACKWARD_SWEEP        = 2,
1456   SOR_SYMMETRIC_SWEEP       = 3,
1457   SOR_LOCAL_FORWARD_SWEEP   = 4,
1458   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1459   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1460   SOR_ZERO_INITIAL_GUESS    = 16,
1461   SOR_EISENSTAT             = 32,
1462   SOR_APPLY_UPPER           = 64,
1463   SOR_APPLY_LOWER           = 128
1464 } MatSORType;
1465 PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);
1466 
1467 /*S
1468      MatColoring - Object for managing the coloring of matrices.
1469 
1470    Level: beginner
1471 
1472     Notes:
1473        Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1474        matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).
1475 
1476        Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1477        same object can also be used to efficiently convert data created by Automatic Differentation tools to PETSc sparse matrices.
1478 
1479 .seealso: `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`, `MatOrdering`, `MatPartitioning`, `MatColoringType`
1480 S*/
1481 typedef struct _p_MatColoring *MatColoring;
1482 
1483 /*J
1484     MatColoringType - String with the name of a PETSc matrix coloring
1485 
1486    Level: beginner
1487 
1488 .seealso: `MatColoringSetType()`, `MatColoring`
1489 J*/
1490 typedef const char *MatColoringType;
1491 #define MATCOLORINGJP      "jp"
1492 #define MATCOLORINGPOWER   "power"
1493 #define MATCOLORINGNATURAL "natural"
1494 #define MATCOLORINGSL      "sl"
1495 #define MATCOLORINGLF      "lf"
1496 #define MATCOLORINGID      "id"
1497 #define MATCOLORINGGREEDY  "greedy"
1498 
1499 /*E
1500    MatColoringWeightType - Type of weight scheme
1501 
1502     Not Collective
1503 
1504 +   `MAT_COLORING_RANDOM`  - Random weights
1505 .   `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1506 -   `MAT_COLORING_LF`      - Last-first weighting.
1507 
1508     Level: intermediate
1509 
1510    Developer Note:
1511    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1512 
1513 .seealso: `MatColoring`, `MatColoringCreate()`
1514 E*/
1515 typedef enum {
1516   MAT_COLORING_WEIGHT_RANDOM,
1517   MAT_COLORING_WEIGHT_LEXICAL,
1518   MAT_COLORING_WEIGHT_LF,
1519   MAT_COLORING_WEIGHT_SL
1520 } MatColoringWeightType;
1521 
1522 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1523 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1524 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1525 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1526 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1527 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1528 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1529 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1530 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1531 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1532 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1533 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1534 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1535 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1536 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1537 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1538 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1539 PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring) {
1540   return MatColoringTest(matcoloring, iscoloring);
1541 }
1542 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);
1543 
1544 /*S
1545      MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring
1546 
1547    Level: beginner
1548 
1549    Notes:
1550       This object is creating utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`
1551 
1552 .seealso: `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1553 S*/
1554 typedef struct _p_MatFDColoring *MatFDColoring;
1555 
1556 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1557 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1558 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1559 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, PetscErrorCode (*)(void), void *);
1560 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, PetscErrorCode (**)(void), void **);
1561 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1562 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1563 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1564 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1565 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1566 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1567 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1568 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);
1569 
1570 /*S
1571      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1572 
1573    Level: beginner
1574 
1575 .seealso: `MatTransposeColoringCreate()`
1576 S*/
1577 typedef struct _p_MatTransposeColoring *MatTransposeColoring;
1578 
1579 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1580 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1581 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1582 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);
1583 
1584 /*S
1585      MatPartitioning - Object for managing the partitioning of a matrix or graph
1586 
1587    Level: beginner
1588 
1589    Note:
1590      There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1591      via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)
1592 
1593    Developers Note:
1594      It is an extra maintainance and documentation cost to have two objects with the same functionality.
1595 
1596 .seealso: `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`
1597 S*/
1598 typedef struct _p_MatPartitioning *MatPartitioning;
1599 
1600 /*J
1601     MatPartitioningType - String with the name of a PETSc matrix partitioning
1602 
1603    Level: beginner
1604 dm
1605 .seealso: `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`
1606 J*/
1607 typedef const char *MatPartitioningType;
1608 #define MATPARTITIONINGCURRENT  "current"
1609 #define MATPARTITIONINGAVERAGE  "average"
1610 #define MATPARTITIONINGSQUARE   "square"
1611 #define MATPARTITIONINGPARMETIS "parmetis"
1612 #define MATPARTITIONINGCHACO    "chaco"
1613 #define MATPARTITIONINGPARTY    "party"
1614 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1615 #define MATPARTITIONINGHIERARCH "hierarch"
1616 
1617 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1618 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1619 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1620 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1621 PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1622 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1623 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1624 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1625 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1626 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1627 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1628 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1629 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1630 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1631 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1632 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1633 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1634 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1635 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);
1636 
1637 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1638 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1639 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1640 
1641 typedef enum {
1642   MP_CHACO_MULTILEVEL = 1,
1643   MP_CHACO_SPECTRAL   = 2,
1644   MP_CHACO_LINEAR     = 4,
1645   MP_CHACO_RANDOM     = 5,
1646   MP_CHACO_SCATTERED  = 6
1647 } MPChacoGlobalType;
1648 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1649 typedef enum {
1650   MP_CHACO_KERNIGHAN = 1,
1651   MP_CHACO_NONE      = 2
1652 } MPChacoLocalType;
1653 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1654 typedef enum {
1655   MP_CHACO_LANCZOS = 0,
1656   MP_CHACO_RQI     = 1
1657 } MPChacoEigenType;
1658 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1659 
1660 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1661 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1662 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1663 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1664 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1665 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1666 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1667 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1668 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1669 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1670 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);
1671 
1672 #define MP_PARTY_OPT "opt"
1673 #define MP_PARTY_LIN "lin"
1674 #define MP_PARTY_SCA "sca"
1675 #define MP_PARTY_RAN "ran"
1676 #define MP_PARTY_GBF "gbf"
1677 #define MP_PARTY_GCF "gcf"
1678 #define MP_PARTY_BUB "bub"
1679 #define MP_PARTY_DEF "def"
1680 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1681 #define MP_PARTY_HELPFUL_SETS  "hs"
1682 #define MP_PARTY_KERNIGHAN_LIN "kl"
1683 #define MP_PARTY_NONE          "no"
1684 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1685 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1686 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1687 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);
1688 
1689 typedef enum {
1690   MP_PTSCOTCH_DEFAULT,
1691   MP_PTSCOTCH_QUALITY,
1692   MP_PTSCOTCH_SPEED,
1693   MP_PTSCOTCH_BALANCE,
1694   MP_PTSCOTCH_SAFETY,
1695   MP_PTSCOTCH_SCALABILITY
1696 } MPPTScotchStrategyType;
1697 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1698 
1699 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1700 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1701 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1702 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);
1703 
1704 /*
1705  * hierarchical partitioning
1706  */
1707 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1708 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1709 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1710 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1711 
1712 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat, PetscInt, Mat *);
1713 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);
1714 
1715 /*
1716     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1717     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1718 */
1719 typedef enum {
1720   MATOP_SET_VALUES                = 0,
1721   MATOP_GET_ROW                   = 1,
1722   MATOP_RESTORE_ROW               = 2,
1723   MATOP_MULT                      = 3,
1724   MATOP_MULT_ADD                  = 4,
1725   MATOP_MULT_TRANSPOSE            = 5,
1726   MATOP_MULT_TRANSPOSE_ADD        = 6,
1727   MATOP_SOLVE                     = 7,
1728   MATOP_SOLVE_ADD                 = 8,
1729   MATOP_SOLVE_TRANSPOSE           = 9,
1730   MATOP_SOLVE_TRANSPOSE_ADD       = 10,
1731   MATOP_LUFACTOR                  = 11,
1732   MATOP_CHOLESKYFACTOR            = 12,
1733   MATOP_SOR                       = 13,
1734   MATOP_TRANSPOSE                 = 14,
1735   MATOP_GETINFO                   = 15,
1736   MATOP_EQUAL                     = 16,
1737   MATOP_GET_DIAGONAL              = 17,
1738   MATOP_DIAGONAL_SCALE            = 18,
1739   MATOP_NORM                      = 19,
1740   MATOP_ASSEMBLY_BEGIN            = 20,
1741   MATOP_ASSEMBLY_END              = 21,
1742   MATOP_SET_OPTION                = 22,
1743   MATOP_ZERO_ENTRIES              = 23,
1744   MATOP_ZERO_ROWS                 = 24,
1745   MATOP_LUFACTOR_SYMBOLIC         = 25,
1746   MATOP_LUFACTOR_NUMERIC          = 26,
1747   MATOP_CHOLESKY_FACTOR_SYMBOLIC  = 27,
1748   MATOP_CHOLESKY_FACTOR_NUMERIC   = 28,
1749   MATOP_SETUP                     = 29,
1750   MATOP_ILUFACTOR_SYMBOLIC        = 30,
1751   MATOP_ICCFACTOR_SYMBOLIC        = 31,
1752   MATOP_GET_DIAGONAL_BLOCK        = 32,
1753   MATOP_SET_INF                   = 33,
1754   MATOP_DUPLICATE                 = 34,
1755   MATOP_FORWARD_SOLVE             = 35,
1756   MATOP_BACKWARD_SOLVE            = 36,
1757   MATOP_ILUFACTOR                 = 37,
1758   MATOP_ICCFACTOR                 = 38,
1759   MATOP_AXPY                      = 39,
1760   MATOP_CREATE_SUBMATRICES        = 40,
1761   MATOP_INCREASE_OVERLAP          = 41,
1762   MATOP_GET_VALUES                = 42,
1763   MATOP_COPY                      = 43,
1764   MATOP_GET_ROW_MAX               = 44,
1765   MATOP_SCALE                     = 45,
1766   MATOP_SHIFT                     = 46,
1767   MATOP_DIAGONAL_SET              = 47,
1768   MATOP_ZERO_ROWS_COLUMNS         = 48,
1769   MATOP_SET_RANDOM                = 49,
1770   MATOP_GET_ROW_IJ                = 50,
1771   MATOP_RESTORE_ROW_IJ            = 51,
1772   MATOP_GET_COLUMN_IJ             = 52,
1773   MATOP_RESTORE_COLUMN_IJ         = 53,
1774   MATOP_FDCOLORING_CREATE         = 54,
1775   MATOP_COLORING_PATCH            = 55,
1776   MATOP_SET_UNFACTORED            = 56,
1777   MATOP_PERMUTE                   = 57,
1778   MATOP_SET_VALUES_BLOCKED        = 58,
1779   MATOP_CREATE_SUBMATRIX          = 59,
1780   MATOP_DESTROY                   = 60,
1781   MATOP_VIEW                      = 61,
1782   MATOP_CONVERT_FROM              = 62,
1783   /* MATOP_PLACEHOLDER_63=63 */
1784   MATOP_MATMAT_MULT_SYMBOLIC      = 64,
1785   MATOP_MATMAT_MULT_NUMERIC       = 65,
1786   MATOP_SET_LOCAL_TO_GLOBAL_MAP   = 66,
1787   MATOP_SET_VALUES_LOCAL          = 67,
1788   MATOP_ZERO_ROWS_LOCAL           = 68,
1789   MATOP_GET_ROW_MAX_ABS           = 69,
1790   MATOP_GET_ROW_MIN_ABS           = 70,
1791   MATOP_CONVERT                   = 71,
1792   MATOP_HAS_OPERATION             = 72,
1793   /* MATOP_PLACEHOLDER_73=73, */
1794   MATOP_SET_VALUES_ADIFOR         = 74,
1795   MATOP_FD_COLORING_APPLY         = 75,
1796   MATOP_SET_FROM_OPTIONS          = 76,
1797   /* MATOP_PLACEHOLDER_77=77, */
1798   /* MATOP_PLACEHOLDER_78=78, */
1799   MATOP_FIND_ZERO_DIAGONALS       = 79,
1800   MATOP_MULT_MULTIPLE             = 80,
1801   MATOP_SOLVE_MULTIPLE            = 81,
1802   MATOP_GET_INERTIA               = 82,
1803   MATOP_LOAD                      = 83,
1804   MATOP_IS_SYMMETRIC              = 84,
1805   MATOP_IS_HERMITIAN              = 85,
1806   MATOP_IS_STRUCTURALLY_SYMMETRIC = 86,
1807   MATOP_SET_VALUES_BLOCKEDLOCAL   = 87,
1808   MATOP_CREATE_VECS               = 88,
1809   /* MATOP_PLACEHOLDER_89=89, */
1810   MATOP_MAT_MULT_SYMBOLIC         = 90,
1811   MATOP_MAT_MULT_NUMERIC          = 91,
1812   /* MATOP_PLACEHOLDER_92=92, */
1813   MATOP_PTAP_SYMBOLIC             = 93,
1814   MATOP_PTAP_NUMERIC              = 94,
1815   /* MATOP_PLACEHOLDER_95=95, */
1816   MATOP_MAT_TRANSPOSE_MULT_SYMBO  = 96,
1817   MATOP_MAT_TRANSPOSE_MULT_NUMER  = 97,
1818   MATOP_BIND_TO_CPU               = 98,
1819   MATOP_PRODUCTSETFROMOPTIONS     = 99,
1820   MATOP_PRODUCTSYMBOLIC           = 100,
1821   MATOP_PRODUCTNUMERIC            = 101,
1822   MATOP_CONJUGATE                 = 102,
1823   MATOP_VIEW_NATIVE               = 103,
1824   MATOP_SET_VALUES_ROW            = 104,
1825   MATOP_REAL_PART                 = 105,
1826   MATOP_IMAGINARY_PART            = 106,
1827   MATOP_GET_ROW_UPPER_TRIANGULAR  = 107,
1828   MATOP_RESTORE_ROW_UPPER_TRIANG  = 108,
1829   MATOP_MAT_SOLVE                 = 109,
1830   MATOP_MAT_SOLVE_TRANSPOSE       = 110,
1831   MATOP_GET_ROW_MIN               = 111,
1832   MATOP_GET_COLUMN_VECTOR         = 112,
1833   MATOP_MISSING_DIAGONAL          = 113,
1834   MATOP_GET_SEQ_NONZERO_STRUCTUR  = 114,
1835   MATOP_CREATE                    = 115,
1836   MATOP_GET_GHOSTS                = 116,
1837   MATOP_GET_LOCAL_SUB_MATRIX      = 117,
1838   MATOP_RESTORE_LOCALSUB_MATRIX   = 118,
1839   MATOP_MULT_DIAGONAL_BLOCK       = 119,
1840   MATOP_HERMITIAN_TRANSPOSE       = 120,
1841   MATOP_MULT_HERMITIAN_TRANSPOSE  = 121,
1842   MATOP_MULT_HERMITIAN_TRANS_ADD  = 122,
1843   MATOP_GET_MULTI_PROC_BLOCK      = 123,
1844   MATOP_FIND_NONZERO_ROWS         = 124,
1845   MATOP_GET_COLUMN_NORMS          = 125,
1846   MATOP_INVERT_BLOCK_DIAGONAL     = 126,
1847   MATOP_INVERT_VBLOCK_DIAGONAL    = 127,
1848   MATOP_CREATE_SUB_MATRICES_MPI   = 128,
1849   MATOP_SET_VALUES_BATCH          = 129,
1850   /* MATOP_PLACEHOLDER_130=130, */
1851   MATOP_TRANSPOSE_MAT_MULT_SYMBO  = 131,
1852   MATOP_TRANSPOSE_MAT_MULT_NUMER  = 132,
1853   MATOP_TRANSPOSE_COLORING_CREAT  = 133,
1854   MATOP_TRANS_COLORING_APPLY_SPT  = 134,
1855   MATOP_TRANS_COLORING_APPLY_DEN  = 135,
1856   /* MATOP_PLACEHOLDER_136=136, */
1857   MATOP_RART_SYMBOLIC             = 137,
1858   MATOP_RART_NUMERIC              = 138,
1859   MATOP_SET_BLOCK_SIZES           = 139,
1860   MATOP_AYPX                      = 140,
1861   MATOP_RESIDUAL                  = 141,
1862   MATOP_FDCOLORING_SETUP          = 142,
1863   MATOP_FIND_OFFBLOCK_ENTRIES     = 143,
1864   MATOP_MPICONCATENATESEQ         = 144,
1865   MATOP_DESTROYSUBMATRICES        = 145,
1866   MATOP_TRANSPOSE_SOLVE           = 146,
1867   MATOP_GET_VALUES_LOCAL          = 147
1868 } MatOperation;
1869 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, void (*)(void));
1870 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, void (**)(void));
1871 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
1872 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
1873 PETSC_DEPRECATED_FUNCTION("Use MatProductClear() (since version 3.14)") static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A) {
1874   return MatProductClear(A);
1875 }
1876 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, void (*)(void));
1877 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, void (**)(void));
1878 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, void *);
1879 PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscErrorCode (*)(void *));
1880 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
1881 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
1882 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
1883 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1884 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscErrorCode (*)(void *), MatType, MatType);
1885 PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);
1886 
1887 /*
1888    Codes for matrices stored on disk. By default they are
1889    stored in a universal format. By changing the format with
1890    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1891    be stored in a way natural for the matrix, for example dense matrices
1892    would be stored as dense. Matrices stored this way may only be
1893    read into matrices of the same type.
1894 */
1895 #define MATRIX_BINARY_FORMAT_DENSE -1
1896 
1897 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);
1898 
1899 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
1900 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1901 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
1902 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
1903 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
1904 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
1905 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
1906 PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
1907 PETSC_EXTERN                PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat, MatReuse, Mat *);
1908 
1909 /*S
1910      MatNullSpace - Object that removes a null space from a vector, i.e.
1911          orthogonalizes the vector to a subspace
1912 
1913    Level: advanced
1914 
1915 .seealso: `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
1916 S*/
1917 typedef struct _p_MatNullSpace *MatNullSpace;
1918 
1919 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
1920 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, PetscErrorCode (*)(MatNullSpace, Vec, void *), void *);
1921 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
1922 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
1923 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1924 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1925 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
1926 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
1927 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
1928 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
1929 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
1930 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
1931 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
1932 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);
1933 
1934 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
1935 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
1936 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);
1937 
1938 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
1939 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
1940 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);
1941 
1942 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
1943 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);
1944 
1945 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B) {
1946   return MatComputeOperator(A, NULL, B);
1947 }
1948 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B) {
1949   return MatComputeOperatorTranspose(A, NULL, B);
1950 }
1951 
1952 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
1953 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
1954 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
1955 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
1956 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
1957 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
1958 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
1959 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
1960 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
1961 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
1962 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
1963 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
1964 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
1965 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);
1966 
1967 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);
1968 
1969 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
1970 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
1971 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, PetscErrorCode (*)(void *, Vec, Vec), void *);
1972 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, PetscErrorCode (*)(void *, PetscInt, Vec, PetscScalar *));
1973 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, PetscErrorCode (*)(void *, Vec));
1974 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
1975 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1976 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
1977 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
1978 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
1979 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
1980 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
1981 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, PetscErrorCode (*)(void *, Vec, Vec, PetscScalar *), void *);
1982 
1983 /*S
1984     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1985               Jacobian vector products
1986 
1987     Notes:
1988     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure
1989 
1990     MatMFFD*() methods actually take the Mat as their first argument. Not a `MatMFFD` data structure
1991 
1992     Level: developer
1993 
1994 .seealso: `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`
1995 S*/
1996 typedef struct _p_MatMFFD *MatMFFD;
1997 
1998 /*J
1999     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
2000 
2001    Level: beginner
2002 
2003 .seealso: `MatMFFDSetType()`, `MatMFFDRegister()`
2004 J*/
2005 typedef const char *MatMFFDType;
2006 #define MATMFFD_DS "ds"
2007 #define MATMFFD_WP "wp"
2008 
2009 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2010 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));
2011 
2012 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2013 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);
2014 
2015 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);
2016 
2017 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2018 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
2019 
2020 #ifdef PETSC_HAVE_H2OPUS
2021 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatH2OpusKernel)(PetscInt, PetscReal[], PetscReal[], void *);
2022 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernel, void *, PetscReal, PetscInt, PetscInt, Mat *);
2023 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2024 PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2025 PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
2026 PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat, PetscReal);
2027 PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat, PetscBool);
2028 PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat, PetscBool *);
2029 PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat, IS *);
2030 PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2031 PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2032 #endif
2033 
2034 #ifdef PETSC_HAVE_HTOOL
2035 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatHtoolKernel)(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2036 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernel, void *, Mat *);
2037 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat, MatHtoolKernel, void *);
2038 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat, IS *);
2039 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat, IS *);
2040 PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat, PetscBool);
2041 /*E
2042      MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`
2043 
2044    Level: beginner
2045 
2046     Values:
2047 +   `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2048 .   `MAT_HTOOL_COMPRESSOR_FULL_ACA` - full adaptive cross approximation
2049 -   `MAT_HTOOL_COMPRESSOR_SVD` - singular value decomposition
2050 
2051 .seealso: `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2052 E*/
2053 typedef enum {
2054   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2055   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2056   MAT_HTOOL_COMPRESSOR_SVD
2057 } MatHtoolCompressorType;
2058 /*E
2059      MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`
2060 
2061    Level: beginner
2062 
2063     Values:
2064 +   `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default) - axis computed via principle component analysis, split uniformly
2065 .   `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC` - axis computed via principle component analysis, split barycentrically
2066 .   `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR` - axis along the largest extent of the bounding box, split uniformly
2067 -   `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically
2068 
2069     Notes: higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
2070 
2071 .seealso: `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2072 E*/
2073 typedef enum {
2074   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2075   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2076   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2077   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2078 } MatHtoolClusteringType;
2079 #endif
2080 
2081 #ifdef PETSC_HAVE_MUMPS
2082 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2083 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2084 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2085 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);
2086 
2087 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2088 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2089 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2090 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2091 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2092 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2093 #endif
2094 
2095 #ifdef PETSC_HAVE_MKL_PARDISO
2096 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2097 #endif
2098 
2099 #ifdef PETSC_HAVE_MKL_CPARDISO
2100 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2101 #endif
2102 
2103 #ifdef PETSC_HAVE_SUPERLU
2104 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2105 #endif
2106 
2107 #ifdef PETSC_HAVE_SUPERLU_DIST
2108 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2109 #endif
2110 
2111 #ifdef PETSC_HAVE_STRUMPACK
2112 /*E
2113     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `STRUMPACK`
2114 
2115     Level: intermediate
2116 E*/
2117 typedef enum {
2118   MAT_STRUMPACK_NATURAL  = 0,
2119   MAT_STRUMPACK_METIS    = 1,
2120   MAT_STRUMPACK_PARMETIS = 2,
2121   MAT_STRUMPACK_SCOTCH   = 3,
2122   MAT_STRUMPACK_PTSCOTCH = 4,
2123   MAT_STRUMPACK_RCM      = 5
2124 } MatSTRUMPACKReordering;
2125 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2126 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2127 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat, PetscReal);
2128 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat, PetscReal rtol) {
2129   return MatSTRUMPACKSetHSSRelTol(mat, rtol);
2130 }
2131 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat, PetscReal);
2132 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat, PetscInt);
2133 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat, PetscInt hssminsize) {
2134   return MatSTRUMPACKSetHSSMinSepSize(mat, hssminsize);
2135 }
2136 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat, PetscInt);
2137 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat, PetscInt);
2138 #endif
2139 
2140 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2141 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2142 PETSC_DEPRECATED_FUNCTION("Use MatBindToCPU (since v3.13)") static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg) {
2143   return MatBindToCPU(A, flg);
2144 }
2145 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2146 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);
2147 
2148 typedef struct _n_SplitCSRMat *PetscSplitCSRDataStructure;
2149 PETSC_EXTERN PetscErrorCode    MatCUSPARSEGetDeviceMatWrite(Mat, PetscSplitCSRDataStructure *);
2150 
2151 #ifdef PETSC_HAVE_KOKKOS_KERNELS
2152 PETSC_EXTERN PetscErrorCode MatKokkosGetDeviceMatWrite(Mat, PetscSplitCSRDataStructure *);
2153 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosSetDeviceMat(Mat, PetscSplitCSRDataStructure);
2154 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosGetDeviceMat(Mat, PetscSplitCSRDataStructure *);
2155 #endif
2156 
2157 #ifdef PETSC_HAVE_CUDA
2158 /*E
2159     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
2160     matrices.
2161 
2162     Not Collective
2163 
2164 +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2165 .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2166 -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2167 
2168     Level: intermediate
2169 
2170    Developer Note:
2171    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
2172 
2173 .seealso: `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2174 E*/
2175 
2176 typedef enum {
2177   MAT_CUSPARSE_CSR,
2178   MAT_CUSPARSE_ELL,
2179   MAT_CUSPARSE_HYB
2180 } MatCUSPARSEStorageFormat;
2181 
2182 /* these will be strings associated with enumerated type defined above */
2183 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2184 
2185 /*E
2186     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
2187     matrices whose operation should use a particular storage format.
2188 
2189     Not Collective
2190 
2191 +   `MAT_CUSPARSE_MULT_DIAG` - sets the storage format for the diagonal matrix in the parallel MatMult
2192 .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the offdiagonal matrix in the parallel MatMult
2193 .   `MAT_CUSPARSE_MULT` - sets the storage format for the entire matrix in the serial (single GPU) MatMult
2194 -   `MAT_CUSPARSE_ALL` - sets the storage format for all CUSPARSE (GPU) matrices
2195 
2196     Level: intermediate
2197 
2198 .seealso: `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2199 E*/
2200 typedef enum {
2201   MAT_CUSPARSE_MULT_DIAG,
2202   MAT_CUSPARSE_MULT_OFFDIAG,
2203   MAT_CUSPARSE_MULT,
2204   MAT_CUSPARSE_ALL
2205 } MatCUSPARSEFormatOperation;
2206 
2207 PETSC_EXTERN PetscErrorCode                  MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2208 PETSC_EXTERN PetscErrorCode                  MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2209 PETSC_EXTERN PetscErrorCode                  MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2210 PETSC_EXTERN PetscErrorCode                  MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2211 typedef struct Mat_SeqAIJCUSPARSETriFactors *Mat_SeqAIJCUSPARSETriFactors_p;
2212 PETSC_EXTERN PetscErrorCode                  MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2213 PETSC_EXTERN PetscErrorCode                  MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2214 PETSC_EXTERN PetscErrorCode                  MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2215 PETSC_EXTERN PetscErrorCode                  MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2216 PETSC_EXTERN PetscErrorCode                  MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2217 PETSC_EXTERN PetscErrorCode                  MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2218 PETSC_EXTERN PetscErrorCode                  MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2219 PETSC_EXTERN PetscErrorCode                  MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);
2220 
2221 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2222 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2223 PETSC_EXTERN PetscErrorCode MatMPIDenseCUDASetPreallocation(Mat, PetscScalar[]);
2224 PETSC_EXTERN PetscErrorCode MatSeqDenseCUDASetPreallocation(Mat, PetscScalar[]);
2225 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2226 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2227 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2228 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2229 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2230 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2231 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2232 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2233 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2234 
2235 #endif
2236 
2237 #if defined(PETSC_HAVE_VIENNACL)
2238 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2239 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2240 #endif
2241 
2242 #if defined(PETSC_HAVE_FFTW)
2243 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2244 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2245 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2246 #endif
2247 
2248 #if defined(PETSC_HAVE_SCALAPACK)
2249 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2250 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2251 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2252 #endif
2253 
2254 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2255 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2256 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2257 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2258 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2259 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2260 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2261 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2262 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);
2263 
2264 PETSC_EXTERN PetscErrorCode MatChop(Mat, PetscReal);
2265 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);
2266 
2267 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);
2268 
2269 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);
2270 
2271 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2272 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);
2273 
2274 PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);
2275 
2276 PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, Mat *);
2277 PETSC_EXTERN PetscErrorCode MatFilter(Mat, PetscReal, Mat *);
2278 
2279 #endif
2280