xref: /petsc/include/petscmat.h (revision 6a3d25952bcc09d31b72985d60f0bc62c77fff78)
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 {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC, MAT_FACTOR_ILUDT, MAT_FACTOR_QR, MAT_FACTOR_NUM_TYPES} MatFactorType;
165 PETSC_EXTERN const char *const MatFactorTypes[];
166 
167 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,MatSolverType,MatFactorType,Mat*);
168 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,MatSolverType,MatFactorType,PetscBool *);
169 PETSC_EXTERN PetscErrorCode MatFactorGetCanUseOrdering(Mat, PetscBool*);
170 PETSC_DEPRECATED_FUNCTION("Use MatFactorGetCanUseOrdering() (since version 3.15)") static inline PetscErrorCode MatFactorGetUseOrdering(Mat A,PetscBool *b) {return MatFactorGetCanUseOrdering(A,b);}
171 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat,MatSolverType*);
172 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
173 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat,MatFactorType);
174 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatSolverFunction)(Mat,MatFactorType,Mat*);
175 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType,MatType,MatFactorType,MatSolverFunction);
176 PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType,MatType,MatFactorType,PetscBool*,PetscBool*,MatSolverFunction*);
177 typedef MatSolverType MatSolverPackage PETSC_DEPRECATED_TYPEDEF("Use MatSolverType (since version 3.9)");
178 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeRegister() (since version 3.9)") static inline PetscErrorCode MatSolverPackageRegister(MatSolverType stype,MatType mtype,MatFactorType ftype,MatSolverFunction f)
179 { return MatSolverTypeRegister(stype,mtype,ftype,f); }
180 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)
181 { return MatSolverTypeGet(stype,mtype,ftype,foundmtype,foundstype,f); }
182 
183 /*E
184     MatProductType - indicates what type of matrix product is requested
185 
186     Level: beginner
187 
188 .seealso: `MatProductSetType()`
189 E*/
190 typedef enum {MATPRODUCT_UNSPECIFIED=0,MATPRODUCT_AB,MATPRODUCT_AtB,MATPRODUCT_ABt,MATPRODUCT_PtAP,MATPRODUCT_RARt,MATPRODUCT_ABC} MatProductType;
191 PETSC_EXTERN const char *const MatProductTypes[];
192 
193 /*J
194     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
195 
196    Level: beginner
197 
198 .seealso: `MatSetType()`, `Mat`, `MatProductSetAlgorithm()`, `MatProductType`
199 J*/
200 typedef const char* MatProductAlgorithm;
201 #define MATPRODUCTALGORITHMDEFAULT "default"
202 #define MATPRODUCTALGORITHMSORTED "sorted"
203 #define MATPRODUCTALGORITHMSCALABLE "scalable"
204 #define MATPRODUCTALGORITHMSCALABLEFAST "scalable_fast"
205 #define MATPRODUCTALGORITHMHEAP "heap"
206 #define MATPRODUCTALGORITHMBHEAP "btheap"
207 #define MATPRODUCTALGORITHMLLCONDENSED "llcondensed"
208 #define MATPRODUCTALGORITHMROWMERGE "rowmerge"
209 #define MATPRODUCTALGORITHMOUTERPRODUCT "outerproduct"
210 #define MATPRODUCTALGORITHMATB "at*b"
211 #define MATPRODUCTALGORITHMRAP "rap"
212 #define MATPRODUCTALGORITHMNONSCALABLE "nonscalable"
213 #define MATPRODUCTALGORITHMSEQMPI "seqmpi"
214 #define MATPRODUCTALGORITHMBACKEND "backend"
215 #define MATPRODUCTALGORITHMOVERLAPPING "overlapping"
216 #define MATPRODUCTALGORITHMMERGED "merged"
217 #define MATPRODUCTALGORITHMALLATONCE "allatonce"
218 #define MATPRODUCTALGORITHMALLATONCEMERGED "allatonce_merged"
219 #define MATPRODUCTALGORITHMALLGATHERV "allgatherv"
220 #define MATPRODUCTALGORITHMCYCLIC "cyclic"
221 #if defined(PETSC_HAVE_HYPRE)
222 #define MATPRODUCTALGORITHMHYPRE "hypre"
223 #endif
224 
225 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat,Mat,Mat,Mat*);
226 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat,Mat,Mat,Mat);
227 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat,MatProductType);
228 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat,MatProductAlgorithm);
229 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat,PetscReal);
230 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
231 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
232 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
233 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat,Mat,Mat,Mat);
234 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
235 PETSC_EXTERN PetscErrorCode MatProductView(Mat,PetscViewer);
236 PETSC_EXTERN PetscErrorCode MatProductGetType(Mat,MatProductType*);
237 PETSC_EXTERN PetscErrorCode MatProductGetMats(Mat,Mat*,Mat*,Mat*);
238 
239 /* Logging support */
240 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
241 PETSC_EXTERN PetscClassId MAT_CLASSID;
242 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
243 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
244 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
245 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
246 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
247 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
248 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
249 
250 /*E
251     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
252      are to be reused to store the new matrix values.
253 
254 $  MAT_INITIAL_MATRIX - create a new matrix
255 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
256 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
257 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
258 
259     Level: beginner
260 
261    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
262 
263 .seealso: `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatDestroyMatrices()`, `MatConvert()`
264 E*/
265 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
266 
267 /*E
268     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
269      include the matrix values. Currently it is only used by MatGetSeqNonzeroStructure().
270 
271     Level: beginner
272 
273 .seealso: `MatGetSeqNonzeroStructure()`
274 E*/
275 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatCreateSubMatrixOption;
276 
277 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
278 
279 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
280 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
281 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
282 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat,VecType*);
283 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat,VecType);
284 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
285 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat,PetscObject,const char[]);
286 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
287 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[],const char[],const char[]);
288 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
289 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefixFactor(Mat,const char[]);
290 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefixFactor(Mat,const char[]);
291 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
292 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
293 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
294 
295 PETSC_EXTERN PetscFunctionList MatList;
296 PETSC_EXTERN PetscFunctionList MatColoringList;
297 PETSC_EXTERN PetscFunctionList MatPartitioningList;
298 
299 /*E
300     MatStructure - Indicates if two matrices have the same nonzero structure
301 
302     Level: beginner
303 
304 $  SAME_NONZERO_PATTERN  - the two matrices have identical nonzero patterns
305 $  DIFFERENT_NONZERO_PATTERN - the two matrices may have different nonzero patterns
306 $  SUBSET_NONZERO_PATTERN - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
307 $  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
308 
309    Developer Notes:
310      Any additions/changes here MUST also be made in src/mat/f90-mod/petscmat.h
311 
312 .seealso: `MatCopy()`, `MatAXPY()`, `MatAYPX()`
313 E*/
314 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN,UNKNOWN_NONZERO_PATTERN} MatStructure;
315 PETSC_EXTERN const char *const MatStructures[];
316 
317 #if defined PETSC_HAVE_MKL_SPARSE
318 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
319 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
320 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
321 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
322 #endif
323 
324 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
325 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
326 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat,PetscInt,const PetscInt[]);
327 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
328 
329 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
330 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
331 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
332 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
333 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
334 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
335 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArray(Mat,const PetscScalar []);
336 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
337 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm,Mat,Mat,const PetscInt[],Mat*);
338 
339 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
340 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
341 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
342 
343 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat,PetscCount,const PetscInt[],const PetscInt[]);
344 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat,PetscCount,PetscInt[],PetscInt[]);
345 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat,const PetscScalar[],InsertMode);
346 
347 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
348 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
349 
350 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
351 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
352 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
353 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
354 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
355 
356 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
357 PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm,PetscInt,PetscInt,Mat*);
358 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
359 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
360 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
361 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
362 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
363 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
364 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
365 
366 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
367 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
368 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
369 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
370 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
371 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
372 typedef enum {MAT_COMPOSITE_MERGE_RIGHT,MAT_COMPOSITE_MERGE_LEFT} MatCompositeMergeType;
373 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat,MatCompositeMergeType);
374 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
375 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
376 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
377 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat,MatCompositeType*);
378 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat,MatStructure);
379 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat,MatStructure*);
380 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat,PetscInt*);
381 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat,PetscInt,Mat*);
382 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat,const PetscScalar*);
383 
384 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
385 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
386 
387 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
388 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
389 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
390 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat,Mat*);
391 PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat,Mat*);
392 PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat,Mat*);
393 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
394 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
395 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
396 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar,Mat*);
397 
398 #if defined(PETSC_HAVE_HYPRE)
399 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
400 #endif
401 
402 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
403 
404 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
405 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
406 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
407 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
408 
409 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
410 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
411 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
412 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
413 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
414 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
415 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat,PetscInt,const PetscInt*,PetscScalar*);
416 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat,Mat);
417 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat,MatReuse,Mat*);
418 
419 /* ------------------------------------------------------------*/
420 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
421 PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat,IS,IS,const PetscScalar[],InsertMode);
422 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
423 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
424 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
425 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
426 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
427 
428 /*S
429      MatStencil - Data structure (C struct) for storing information about a single row or
430         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
431 
432    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).
433    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.
434 
435    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
436 
437    Fortran usage is different, see MatSetValuesStencil() for details.
438 
439    Level: beginner
440 
441 .seealso: `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`
442 S*/
443 typedef struct {
444   PetscInt k,j,i,c;
445 } MatStencil;
446 
447 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
448 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
449 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
450 
451 /*E
452     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
453      to continue to add or insert values to it
454 
455     Level: beginner
456 
457 .seealso: `MatAssemblyBegin()`, `MatAssemblyEnd()`
458 E*/
459 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
460 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
461 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
462 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
463 
464 /*E
465     MatOption - Options that may be set for a matrix and its behavior or storage
466 
467     Level: beginner
468 
469    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
470    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
471 
472    Developer Notes:
473     Entries that are negative need not be called collectively by all processes.
474 
475 .seealso: `MatSetOption()`
476 E*/
477 typedef enum {MAT_OPTION_MIN = -3,
478               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
479               MAT_ROW_ORIENTED = -1,
480               MAT_SYMMETRIC = 1,
481               MAT_STRUCTURALLY_SYMMETRIC = 2,
482               MAT_FORCE_DIAGONAL_ENTRIES = 3,
483               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
484               MAT_USE_HASH_TABLE = 5,
485               MAT_KEEP_NONZERO_PATTERN = 6,
486               MAT_IGNORE_ZERO_ENTRIES = 7,
487               MAT_USE_INODES = 8,
488               MAT_HERMITIAN = 9,
489               MAT_SYMMETRY_ETERNAL = 10,
490               MAT_NEW_NONZERO_LOCATION_ERR = 11,
491               MAT_IGNORE_LOWER_TRIANGULAR = 12,
492               MAT_ERROR_LOWER_TRIANGULAR = 13,
493               MAT_GETROW_UPPERTRIANGULAR = 14,
494               MAT_SPD = 15,
495               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
496               MAT_NO_OFF_PROC_ENTRIES = 17,
497               MAT_NEW_NONZERO_LOCATIONS = 18,
498               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
499               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
500               MAT_SUBMAT_SINGLEIS = 21,
501               MAT_STRUCTURE_ONLY = 22,
502               MAT_SORTED_FULL = 23,
503               MAT_FORM_EXPLICIT_TRANSPOSE = 24,
504               MAT_OPTION_MAX = 25} MatOption;
505 
506 PETSC_EXTERN const char *const *MatOptions;
507 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
508 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
509 PETSC_EXTERN PetscErrorCode MatPropagateSymmetryOptions(Mat,Mat);
510 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
511 
512 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
513 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
514 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
515 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
516 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
517 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
518 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
519 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArrayRead(Mat,const PetscScalar *[]);
520 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArrayWrite(Mat,PetscScalar *[]);
521 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
522 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArrayRead(Mat,const PetscScalar *[]);
523 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArrayWrite(Mat,PetscScalar *[]);
524 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
525 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
526 PETSC_EXTERN PetscErrorCode MatSeqAIJSetType(Mat,MatType);
527 PETSC_EXTERN PetscErrorCode MatSeqAIJKron(Mat,Mat,MatReuse,Mat*);
528 PETSC_EXTERN PetscErrorCode MatSeqAIJRegister(const char[],PetscErrorCode (*)(Mat,MatType,MatReuse,Mat *));
529 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
530 PETSC_EXTERN PetscErrorCode MatSeqBAIJGetArray(Mat,PetscScalar *[]);
531 PETSC_EXTERN PetscErrorCode MatSeqBAIJRestoreArray(Mat,PetscScalar *[]);
532 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
533 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
534 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
535 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
536 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
537 PETSC_EXTERN PetscErrorCode MatDenseReplaceArray(Mat,const PetscScalar[]);
538 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
539 PETSC_EXTERN PetscErrorCode MatDenseGetArrayRead(Mat,const PetscScalar *[]);
540 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayRead(Mat,const PetscScalar *[]);
541 PETSC_EXTERN PetscErrorCode MatDenseGetArrayWrite(Mat,PetscScalar *[]);
542 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayWrite(Mat,PetscScalar *[]);
543 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
544 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
545 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
546 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
547 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
548 PETSC_EXTERN PetscErrorCode MatSetVariableBlockSizes(Mat,PetscInt,PetscInt*);
549 PETSC_EXTERN PetscErrorCode MatGetVariableBlockSizes(Mat,PetscInt*,const PetscInt**);
550 
551 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat,PetscInt,PetscScalar*[]);
552 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat,PetscScalar*[]);
553 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat,PetscInt,Vec*);
554 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat,PetscInt,Vec*);
555 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat,PetscInt,Vec*);
556 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat,PetscInt,Vec*);
557 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat,PetscInt,Vec*);
558 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat,PetscInt,Vec*);
559 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
560 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat,Mat*);
561 
562 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
563 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
564 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
565 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
566 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
567 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
568 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
569 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
570 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
571 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
572 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
573 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat,Mat,Mat);
574 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
575 
576 /*E
577     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
578   its numerical values copied over or just its nonzero structure.
579 
580     Level: beginner
581 
582    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
583 
584 $   MAT_DO_NOT_COPY_VALUES    - Create a matrix using the same nonzero pattern as the original matrix,
585 $                               with zeros for the numerical values.
586 $   MAT_COPY_VALUES           - Create a matrix with the same nonzero pattern as the original matrix
587 $                               and with the same numerical values.
588 $   MAT_SHARE_NONZERO_PATTERN - Create a matrix that shares the nonzero structure with the previous matrix
589 $                               and does not copy it, using zeros for the numerical values. The parent and
590 $                               child matrices will share their index (i and j) arrays, and you cannot
591 $                               insert new nonzero entries into either matrix.
592 
593 Notes:
594     Many matrix types (including SeqAIJ) do not support the MAT_SHARE_NONZERO_PATTERN optimization; in
595 this case the behavior is as if MAT_DO_NOT_COPY_VALUES has been specified.
596 
597 .seealso: `MatDuplicate()`
598 E*/
599 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
600 
601 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
602 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
603 
604 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
605 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
606 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
607 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
608 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
609 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
610 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
611 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
612 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
613 
614 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
615 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
616 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
617 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
618 
619 /*S
620      MatInfo - Context of matrix information, used with MatGetInfo()
621 
622    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
623 
624    Level: intermediate
625 
626 .seealso: `MatGetInfo()`, `MatInfoType`
627 S*/
628 typedef struct {
629   PetscLogDouble block_size;                         /* block size */
630   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
631   PetscLogDouble memory;                             /* memory allocated */
632   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
633   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
634   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
635   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
636 } MatInfo;
637 
638 /*E
639     MatInfoType - Indicates if you want information about the local part of the matrix,
640      the entire parallel matrix or the maximum over all the local parts.
641 
642     Level: beginner
643 
644    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
645 
646 .seealso: `MatGetInfo()`, `MatInfo`
647 E*/
648 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
649 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
650 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
651 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
652 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
653 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
654 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
655 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
656 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
657 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
658 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
659 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
660 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
661 
662 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
663 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
664 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
665 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
666 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
667 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
668 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
669 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
670 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
671 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
672 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
673 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
674 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat,PetscInt,PetscBool*);
675 
676 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
677 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
678 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat,PetscScalar*);
679 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat,PetscReal*);
680 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat,PetscReal*);
681 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat,PetscScalar*);
682 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat,PetscReal*);
683 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat,PetscReal*);
684 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat,PetscInt,PetscReal*);
685 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
686 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
687 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
688 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
689 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
690 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
691 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
692 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
693 
694 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
695 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
696 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
697 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
698 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
699 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
700 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
701 
702 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
703 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[]) {return MatCreateSubMatrices(mat,n,irow,icol,scall,submat);}
704 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
705 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[]) {return MatCreateSubMatricesMPI(mat,n,irow,icol,scall,submat);}
706 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
707 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
708 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
709 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatrix() (since version 3.8)") static inline PetscErrorCode MatGetSubMatrix(Mat mat,IS isrow,IS iscol,MatReuse cll,Mat *newmat) {return MatCreateSubMatrix(mat,isrow,iscol,cll,newmat);}
710 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
711 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
712 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
713 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
714 
715 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
716 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
717 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
718 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
719 PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat,Mat*);
720 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
721 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat,MatReuse,IS*,Mat*);
722 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
723 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
724 
725 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
726 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
727 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
728 
729 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
730 
731 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
732 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
733 
734 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
735 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
736 
737 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
738 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
739 
740 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
741 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
742 
743 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
744 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
745 
746 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
747 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
748 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
749 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat,PetscLayout,PetscLayout);
750 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
751 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
752 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
753 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
754 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
755 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
756 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
757 
758 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
759 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
760 
761 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
762 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
763 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
764 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat,Mat,Mat*);
765 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat,Mat,Mat,Mat*);
766 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat,Mat,Mat*);
767 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
768 PETSC_DEPRECATED_FUNCTION("Use MatCreateVecs() (since version 3.6)") static inline PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
769 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
770 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
771 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
772 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
773 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
774 
775 /*MC
776    MatSetValue - Set a single entry into a matrix.
777 
778    Not collective
779 
780    Synopsis:
781      #include <petscmat.h>
782      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
783 
784    Input Parameters:
785 +  m - the matrix
786 .  row - the row location of the entry
787 .  col - the column location of the entry
788 .  value - the value to insert
789 -  mode - either INSERT_VALUES or ADD_VALUES
790 
791    Notes:
792    For efficiency one should use MatSetValues() and set several values simultaneously.
793 
794    Level: beginner
795 
796 .seealso: `MatGetValue()`, `MatSetValues()`, `MatSetValueLocal()`, `MatSetValuesLocal()`
797 M*/
798 static inline PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
799 
800 /*@C
801    MatGetValue - Gets a single value from a matrix
802 
803    Not Collective; can only return a value owned by the given process
804 
805    Input Parameters:
806 +  mat - the matrix
807 .  row - the row location of the entry
808 -  col - the column location of the entry
809 
810    Output Parameter:
811 .  va - the value
812 
813    Notes:
814    For efficiency one should use MatGetValues() and get several values simultaneously.
815 
816    See notes for MatGetValues().
817 
818    Level: advanced
819 
820 .seealso: `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
821 @*/
822 static inline PetscErrorCode MatGetValue(Mat mat,PetscInt row,PetscInt col,PetscScalar *va) {return MatGetValues(mat,1,&row,1,&col,va);}
823 
824 /*MC
825    MatSetValueLocal - Inserts or adds a single value into a matrix,
826    using a local numbering of the nodes.
827 
828    Not Collective
829 
830    Input Parameters:
831 +  m - the matrix
832 .  row - the row location of the entry
833 .  col - the column location of the entry
834 .  value - the value to insert
835 -  mode - either INSERT_VALUES or ADD_VALUES
836 
837    Notes:
838    For efficiency one should use MatSetValuesLocal() and set several values simultaneously.
839 
840    See notes for MatSetValuesLocal() for additional information on when and how this function can be used.
841 
842    Level: intermediate
843 
844 .seealso: `MatSetValue()`, `MatSetValuesLocal()`
845 M*/
846 static inline PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
847 
848 /*MC
849    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
850        row in a matrix providing the data that one can use to correctly preallocate the matrix.
851 
852    Synopsis:
853    #include <petscmat.h>
854    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
855 
856    Collective
857 
858    Input Parameters:
859 +  comm - the communicator that will share the eventually allocated matrix
860 .  nrows - the number of LOCAL rows in the matrix
861 -  ncols - the number of LOCAL columns in the matrix
862 
863    Output Parameters:
864 +  dnz - the array that will be passed to the matrix preallocation routines
865 -  onz - the other array passed to the matrix preallocation routines
866 
867    Level: intermediate
868 
869    Notes:
870     This is a macro that handles its own error checking, it does not return an error code.
871 
872     See Users-Manual: ch_performance for more details.
873 
874     Do not malloc or free dnz and onz, that is handled internally by these routines
875 
876    Developer Notes:
877     This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
878 
879 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
880           `MatPreallocateSymmetricSetLocalBlock()`
881 M*/
882 #define MatPreallocateBegin(comm,nrows,ncols,dnz,onz)  do {                             \
883   PetscInt __nrows = (nrows),__ncols = (ncols),__rstart,__start,__end = 0;                     \
884   PetscCall(PetscCalloc2(__nrows,&(dnz),__nrows,&(onz)));                                        \
885   PetscCallMPI(MPI_Scan(&__ncols,&__end,1,MPIU_INT,MPI_SUM,comm));                                \
886   __start = __end - __ncols; (void)__start;                                                    \
887   PetscCallMPI(MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm));                             \
888   __rstart -= __nrows
889 
890 #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateBegin() (since version 3.18)\"") MatPreallocateBegin(__VA_ARGS__)
891 
892 /*MC
893    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
894        inserted using a local number of the rows and columns
895 
896    Synopsis:
897    #include <petscmat.h>
898    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
899 
900    Not Collective
901 
902    Input Parameters:
903 +  map - the row mapping from local numbering to global numbering
904 .  nrows - the number of rows indicated
905 .  rows - the indices of the rows
906 .  cmap - the column mapping from local to global numbering
907 .  ncols - the number of columns in the matrix
908 .  cols - the columns indicated
909 .  dnz - the array that will be passed to the matrix preallocation routines
910 -  onz - the other array passed to the matrix preallocation routines
911 
912    Level: intermediate
913 
914    Notes:
915     See Users-Manual: ch_performance for more details.
916 
917    Do not malloc or free dnz and onz, that is handled internally by these routines
918 
919 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
920           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
921 M*/
922 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz)                        \
923   PetscMacroReturnStandard(                                                                    \
924     PetscCall(ISLocalToGlobalMappingApply(rmap,nrows,rows,rows));                                \
925     PetscCall(ISLocalToGlobalMappingApply(cmap,ncols,cols,cols));                                \
926     for (PetscInt __l=0;__l<nrows;__l++) PetscCall(MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz)); \
927   )
928 
929 /*MC
930    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
931        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
932 
933    Synopsis:
934    #include <petscmat.h>
935    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
936 
937    Not Collective
938 
939    Input Parameters:
940 +  map - the row mapping from local numbering to global numbering
941 .  nrows - the number of rows indicated
942 .  rows - the indices of the rows (these values are mapped to the global values)
943 .  cmap - the column mapping from local to global numbering
944 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
945 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
946 .  dnz - the array that will be passed to the matrix preallocation routines
947 -  onz - the other array passed to the matrix preallocation routines
948 
949    Level: intermediate
950 
951    Notes:
952     See Users-Manual: ch_performance for more details.
953 
954    Do not malloc or free dnz and onz, that is handled internally by these routines
955 
956 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
957           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
958 M*/
959 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz)              \
960   PetscMacroReturnStandard(                                                                    \
961     PetscCall(ISLocalToGlobalMappingApply(rmap,nrows,rows,rows));                                \
962     PetscCall(ISLocalToGlobalMappingApply(cmap,ncols,cols,cols));                                \
963     PetscCall(PetscSortRemoveDupsInt(&ncols,cols));                                              \
964     for (PetscInt __l=0;__l<nrows;__l++) PetscCall(MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz)); \
965   )
966 
967 /*MC
968    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
969        inserted using a local number of the rows and columns
970 
971    Synopsis:
972    #include <petscmat.h>
973    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
974 
975    Not Collective
976 
977    Input Parameters:
978 +  map - the row mapping from local numbering to global numbering
979 .  nrows - the number of rows indicated
980 .  rows - the indices of the rows
981 .  cmap - the column mapping from local to global numbering
982 .  ncols - the number of columns in the matrix
983 .  cols - the columns indicated
984 .  dnz - the array that will be passed to the matrix preallocation routines
985 -  onz - the other array passed to the matrix preallocation routines
986 
987    Level: intermediate
988 
989    Notes:
990     See Users-Manual: ch_performance for more details.
991 
992    Do not malloc or free dnz and onz, that is handled internally by these routines
993 
994 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
995           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
996 M*/
997 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz)                   \
998   PetscMacroReturnStandard(                                                                    \
999     PetscCall(ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows));                           \
1000     PetscCall(ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols));                           \
1001     for (PetscInt __l=0;__l<nrows;__l++) PetscCall(MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz)); \
1002   )
1003 
1004 /*MC
1005    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1006        inserted using a local number of the rows and columns
1007 
1008    Synopsis:
1009    #include <petscmat.h>
1010    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1011 
1012    Not Collective
1013 
1014    Input Parameters:
1015 +  map - the mapping between local numbering and global numbering
1016 .  nrows - the number of rows indicated
1017 .  rows - the indices of the rows
1018 .  ncols - the number of columns in the matrix
1019 .  cols - the columns indicated
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()`
1031           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1032 M*/
1033 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz)                \
1034   PetscMacroReturnStandard(                                                                    \
1035     PetscCall(ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows));                            \
1036     PetscCall(ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols));                            \
1037     for (PetscInt __l=0;__l<nrows;__l++) PetscCall(MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz)); \
1038   )
1039 
1040 /*MC
1041    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1042        inserted using a local number of the rows and columns
1043 
1044    Synopsis:
1045    #include <petscmat.h>
1046    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1047 
1048    Not Collective
1049 
1050    Input Parameters:
1051 +  row - the row
1052 .  ncols - the number of columns in the matrix
1053 -  cols - the columns indicated
1054 
1055    Output Parameters:
1056 +  dnz - the array that will be passed to the matrix preallocation routines
1057 -  onz - the other array passed to the matrix preallocation routines
1058 
1059    Level: intermediate
1060 
1061    Notes:
1062     See Users-Manual: ch_performance for more details.
1063 
1064    Do not malloc or free dnz and onz that is handled internally by these routines
1065 
1066    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1067 
1068 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1069           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1070 M*/
1071 #define MatPreallocateSet(row,nc,cols,dnz,onz) PetscMacroReturnStandard(                       \
1072     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); \
1073     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); \
1074     for (PetscInt __i = 0; __i < nc; ++__i) {                                                  \
1075       if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++;                \
1076       else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;                           \
1077     }                                                                                          \
1078   )
1079 
1080 /*MC
1081    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1082        inserted using a local number of the rows and columns
1083 
1084    Synopsis:
1085    #include <petscmat.h>
1086    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1087 
1088    Not Collective
1089 
1090    Input Parameters:
1091 +  nrows - the number of rows indicated
1092 .  rows - the indices of the rows
1093 .  ncols - the number of columns in the matrix
1094 .  cols - the columns indicated
1095 .  dnz - the array that will be passed to the matrix preallocation routines
1096 -  onz - the other array passed to the matrix preallocation routines
1097 
1098    Level: intermediate
1099 
1100    Notes:
1101     See Users-Manual: ch_performance for more details.
1102 
1103    Do not malloc or free dnz and onz that is handled internally by these routines
1104 
1105    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1106 
1107 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1108           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1109 M*/
1110 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz)                                   \
1111   PetscMacroReturnStandard(                                                                    \
1112     for (PetscInt __i=0; __i<nc; __i++) {                                                      \
1113       if (cols[__i] >= __end) onz[row - __rstart]++;                                           \
1114       else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;       \
1115     }                                                                                          \
1116   )
1117 
1118 /*MC
1119    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1120 
1121    Synopsis:
1122    #include <petscmat.h>
1123    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1124 
1125    Not Collective
1126 
1127    Input Parameters:
1128 +  A - matrix
1129 .  row - row where values exist (must be local to this process)
1130 .  ncols - number of columns
1131 .  cols - columns with nonzeros
1132 .  dnz - the array that will be passed to the matrix preallocation routines
1133 -  onz - the other array passed to the matrix preallocation routines
1134 
1135    Level: intermediate
1136 
1137    Notes:
1138     See Users-Manual: ch_performance for more details.
1139 
1140    Do not malloc or free dnz and onz that is handled internally by these routines
1141 
1142    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
1143 
1144 .seealso: `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1145           `MatPreallocateSymmetricSetLocalBlock()`
1146 M*/
1147 #define MatPreallocateLocation(A,row,ncols,cols,dnz,onz)  (A ? MatSetValues(A,1,&row,ncols,cols,NULL,INSERT_VALUES) : MatPreallocateSet(row,ncols,cols,dnz,onz))
1148 
1149 /*MC
1150    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1151        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1152 
1153    Synopsis:
1154    #include <petscmat.h>
1155    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)
1156 
1157    Collective
1158 
1159    Input Parameters:
1160 +  dnz - the array that was be passed to the matrix preallocation routines
1161 -  onz - the other array passed to the matrix preallocation routines
1162 
1163    Level: intermediate
1164 
1165    Notes:
1166     This is a macro that handles its own error checking, it does not return an error code.
1167 
1168     See Users-Manual: ch_performance for more details.
1169 
1170     Do not malloc or free dnz and onz, that is handled internally by these routines
1171 
1172    Developer Notes:
1173     This is a MACRO not a function because it closes the { started in MatPreallocateBegin().
1174 
1175 .seealso: `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1176           `MatPreallocateSymmetricSetLocalBlock()`
1177 M*/
1178 #define MatPreallocateEnd(dnz,onz) PetscCall(PetscFree2(dnz,onz));} while (0)
1179 
1180 #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateEnd() (since version 3.18)\"") MatPreallocateEnd(__VA_ARGS__)
1181 
1182 /* Routines unique to particular data structures */
1183 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
1184 
1185 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
1186 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1187 
1188 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1189 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1190 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1191 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1192 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1193 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
1194 
1195 #define MAT_SKIP_ALLOCATION -4
1196 
1197 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1198 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1199 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1200 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat,PetscInt);
1201 
1202 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1203 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1204 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1205 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1206 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1207 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1208 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1209 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1210 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat,Mat*);
1211 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1212 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1213 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1214 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1215 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1216 
1217 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat,PetscInt*);
1218 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat,PetscInt);
1219 PETSC_DEPRECATED_FUNCTION("Use MatDenseSetLDA() (since version 3.14)") static inline PetscErrorCode MatSeqDenseSetLDA(Mat A,PetscInt lda) {return MatDenseSetLDA(A,lda);}
1220 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1221 
1222 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1223 
1224 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1225 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1226 
1227 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1228 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1229 /*
1230   These routines are not usually accessed directly, rather solving is
1231   done through the KSP and PC interfaces.
1232 */
1233 
1234 /*J
1235     MatOrderingType - String with the name of a PETSc matrix ordering
1236 
1237    Level: beginner
1238 
1239    Notes:
1240       If MATORDERINGEXTERNAL is used then PETSc does not compute an ordering and utilizes one built into the factorization package
1241 
1242 .seealso: `MatGetOrdering()`
1243 J*/
1244 typedef const char* MatOrderingType;
1245 #define MATORDERINGNATURAL        "natural"
1246 #define MATORDERINGND             "nd"
1247 #define MATORDERING1WD            "1wd"
1248 #define MATORDERINGRCM            "rcm"
1249 #define MATORDERINGQMD            "qmd"
1250 #define MATORDERINGROWLENGTH      "rowlength"
1251 #define MATORDERINGWBM            "wbm"
1252 #define MATORDERINGSPECTRAL       "spectral"
1253 #define MATORDERINGAMD            "amd"            /* only works if UMFPACK is installed with PETSc */
1254 #define MATORDERINGMETISND        "metisnd"        /* only works if METIS is installed with PETSc */
1255 #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 */
1256 #define MATORDERINGEXTERNAL       "external"       /* uses an ordering type internal to the factorization package */
1257 
1258 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1259 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1260 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1261 PETSC_EXTERN PetscFunctionList MatOrderingList;
1262 
1263 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1264 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1265 
1266 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat,MatFactorType,MatOrderingType*);
1267 
1268 /*S
1269     MatFactorShiftType - Numeric Shift for factorizations
1270 
1271    Level: beginner
1272 
1273 .seealso: `MatGetFactor()`
1274 S*/
1275 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1276 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1277 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1278 
1279 /*S
1280     MatFactorError - indicates what type of error was generated in a matrix factorization
1281 
1282     Level: beginner
1283 
1284     Developer Notes:
1285     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1286 
1287 .seealso: `MatGetFactor()`
1288 S*/
1289 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1290 
1291 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1292 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1293 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1294 
1295 /*S
1296    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1297 
1298    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1299 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1300 
1301    Notes:
1302     These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1303 
1304       You can use MatFactorInfoInitialize() to set default values.
1305 
1306    Level: developer
1307 
1308 .seealso: `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`, `MatICCFactorSymbolic()`, `MatICCFactor()`,
1309           `MatFactorInfoInitialize()`
1310 
1311 S*/
1312 typedef struct {
1313   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1314   PetscReal     usedt;
1315   PetscReal     dt;             /* drop tolerance */
1316   PetscReal     dtcol;          /* tolerance for pivoting */
1317   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1318   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1319   PetscReal     levels;         /* ICC/ILU(levels) */
1320   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1321                                    factorization may be faster if do not pivot */
1322   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1323   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1324   PetscReal     shiftamount;     /* how large the shift is */
1325 } MatFactorInfo;
1326 
1327 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1328 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1329 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1330 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1331 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1332 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1333 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1334 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1335 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1336 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1337 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1338 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat,IS,const MatFactorInfo*);
1339 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1340 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat,Mat,const MatFactorInfo*);
1341 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1342 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1343 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1344 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1345 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1346 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1347 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1348 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1349 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1350 
1351 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1352 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1353 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1354 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1355 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1356 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1357 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1358 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1359 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1360 
1361 PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1362 /*E
1363     MatSORType - What type of (S)SOR to perform
1364 
1365     Level: beginner
1366 
1367    May be bitwise ORd together
1368 
1369    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1370 
1371    MatSORType may be bitwise ORd together, so do not change the numbers
1372 
1373 .seealso: `MatSOR()`
1374 E*/
1375 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1376               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1377               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1378               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1379 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1380 
1381 /*
1382     These routines are for efficiently computing Jacobians via finite differences.
1383 */
1384 
1385 /*S
1386      MatColoring - Object for managing the coloring of matrices.
1387 
1388    Level: beginner
1389 
1390     Notes:
1391        Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the MatColoring object or from the mesh from which the
1392        matrix comes from via DMCreateColoring(). In general using the mesh produces a more optimal coloring (fewer colors).
1393 
1394        Once a coloring is available MatFDColoringCreate() creates an object that can be used to efficiently compute Jacobians using that coloring. This
1395        same object can also be used to efficiently convert data created by Automatic Differentation tools to PETSc sparse matrices.
1396 
1397 .seealso: `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`, `MatOrdering`, `MatPartitioning`, `MatColoringType`
1398 S*/
1399 typedef struct _p_MatColoring* MatColoring;
1400 
1401 /*J
1402     MatColoringType - String with the name of a PETSc matrix coloring
1403 
1404    Level: beginner
1405 
1406 .seealso: `MatColoringSetType()`, `MatColoring`
1407 J*/
1408 typedef const  char*           MatColoringType;
1409 #define MATCOLORINGJP      "jp"
1410 #define MATCOLORINGPOWER   "power"
1411 #define MATCOLORINGNATURAL "natural"
1412 #define MATCOLORINGSL      "sl"
1413 #define MATCOLORINGLF      "lf"
1414 #define MATCOLORINGID      "id"
1415 #define MATCOLORINGGREEDY  "greedy"
1416 
1417 /*E
1418    MatColoringWeightType - Type of weight scheme
1419 
1420     Not Collective
1421 
1422 +   MAT_COLORING_RANDOM  - Random weights
1423 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1424 -   MAT_COLORING_LF      - Last-first weighting.
1425 
1426     Level: intermediate
1427 
1428    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1429 
1430 .seealso: `MatColoring`, `MatColoringCreate()`
1431 E*/
1432 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1433 
1434 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1435 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1436 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1437 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1438 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1439 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1440 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1441 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1442 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1443 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1444 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1445 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1446 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1447 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1448 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1449 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1450 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring,ISColoring);
1451 PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring,ISColoring iscoloring) {return MatColoringTest(matcoloring,iscoloring);}
1452 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat,ISColoring);
1453 
1454 /*S
1455      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1456         and coloring
1457 
1458    Level: beginner
1459 
1460    Notes:
1461       This object is creating utilizing a coloring provided by the MatColoring object or DMCreateColoring()
1462 
1463 .seealso: `MatFDColoringCreate()`, `MatColoring`, `DMCreateColoring()`
1464 S*/
1465 typedef struct _p_MatFDColoring* MatFDColoring;
1466 
1467 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1468 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1469 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1470 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1471 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1472 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1473 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1474 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1475 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1476 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1477 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1478 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1479 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat,MatFDColoring,const PetscScalar*);
1480 
1481 /*S
1482      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1483 
1484    Level: beginner
1485 
1486 .seealso: `MatTransposeColoringCreate()`
1487 S*/
1488 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1489 
1490 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1491 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1492 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1493 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1494 
1495 /*
1496     These routines are for partitioning matrices: currently used only
1497   for adjacency matrix, MatCreateMPIAdj().
1498 */
1499 
1500 /*S
1501      MatPartitioning - Object for managing the partitioning of a matrix or graph
1502 
1503    Level: beginner
1504 
1505    Notes:
1506      There is also a PetscPartitioner object that provides the same functionality. It can utilize the MatPartitioning operations
1507      via PetscPartitionerSetType(p,PETSCPARTITIONERMATPARTITIONING)
1508 
1509    Developers Note:
1510      It is an extra maintainance and documentation cost to have two objects with the same functionality.
1511 
1512 .seealso: `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`
1513 S*/
1514 typedef struct _p_MatPartitioning* MatPartitioning;
1515 
1516 /*J
1517     MatPartitioningType - String with the name of a PETSc matrix partitioning
1518 
1519    Level: beginner
1520 dm
1521 .seealso: `MatPartitioningCreate()`, `MatPartitioning`
1522 J*/
1523 typedef const char* MatPartitioningType;
1524 #define MATPARTITIONINGCURRENT  "current"
1525 #define MATPARTITIONINGAVERAGE   "average"
1526 #define MATPARTITIONINGSQUARE   "square"
1527 #define MATPARTITIONINGPARMETIS "parmetis"
1528 #define MATPARTITIONINGCHACO    "chaco"
1529 #define MATPARTITIONINGPARTY    "party"
1530 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1531 #define MATPARTITIONINGHIERARCH  "hierarch"
1532 
1533 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1534 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1535 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1536 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1537 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1538 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1539 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning,PetscBool);
1540 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning,PetscBool*);
1541 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1542 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning,IS*);
1543 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning,IS);
1544 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning,IS*);
1545 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1546 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1547 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1548 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning,PetscObject,const char[]);
1549 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1550 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1551 
1552 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1553 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1554 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1555 
1556 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1557 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1558 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1559 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1560 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1561 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1562 
1563 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1564 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1565 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1566 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1567 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1568 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1569 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1570 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1571 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1572 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1573 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1574 
1575 #define MP_PARTY_OPT "opt"
1576 #define MP_PARTY_LIN "lin"
1577 #define MP_PARTY_SCA "sca"
1578 #define MP_PARTY_RAN "ran"
1579 #define MP_PARTY_GBF "gbf"
1580 #define MP_PARTY_GCF "gcf"
1581 #define MP_PARTY_BUB "bub"
1582 #define MP_PARTY_DEF "def"
1583 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1584 #define MP_PARTY_HELPFUL_SETS "hs"
1585 #define MP_PARTY_KERNIGHAN_LIN "kl"
1586 #define MP_PARTY_NONE "no"
1587 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1588 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1589 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1590 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1591 
1592 typedef enum { MP_PTSCOTCH_DEFAULT,MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1593 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1594 
1595 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1596 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1597 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1598 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1599 
1600 /*
1601  * hierarchical partitioning
1602  */
1603 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1604 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1605 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1606 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1607 
1608 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1609 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1610 
1611 /*
1612     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1613     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1614 */
1615 typedef enum { MATOP_SET_VALUES=0,
1616                MATOP_GET_ROW=1,
1617                MATOP_RESTORE_ROW=2,
1618                MATOP_MULT=3,
1619                MATOP_MULT_ADD=4,
1620                MATOP_MULT_TRANSPOSE=5,
1621                MATOP_MULT_TRANSPOSE_ADD=6,
1622                MATOP_SOLVE=7,
1623                MATOP_SOLVE_ADD=8,
1624                MATOP_SOLVE_TRANSPOSE=9,
1625                MATOP_SOLVE_TRANSPOSE_ADD=10,
1626                MATOP_LUFACTOR=11,
1627                MATOP_CHOLESKYFACTOR=12,
1628                MATOP_SOR=13,
1629                MATOP_TRANSPOSE=14,
1630                MATOP_GETINFO=15,
1631                MATOP_EQUAL=16,
1632                MATOP_GET_DIAGONAL=17,
1633                MATOP_DIAGONAL_SCALE=18,
1634                MATOP_NORM=19,
1635                MATOP_ASSEMBLY_BEGIN=20,
1636                MATOP_ASSEMBLY_END=21,
1637                MATOP_SET_OPTION=22,
1638                MATOP_ZERO_ENTRIES=23,
1639                MATOP_ZERO_ROWS=24,
1640                MATOP_LUFACTOR_SYMBOLIC=25,
1641                MATOP_LUFACTOR_NUMERIC=26,
1642                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1643                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1644                MATOP_SETUP=29,
1645                MATOP_ILUFACTOR_SYMBOLIC=30,
1646                MATOP_ICCFACTOR_SYMBOLIC=31,
1647                MATOP_GET_DIAGONAL_BLOCK=32,
1648                MATOP_SET_INF=33,
1649                MATOP_DUPLICATE=34,
1650                MATOP_FORWARD_SOLVE=35,
1651                MATOP_BACKWARD_SOLVE=36,
1652                MATOP_ILUFACTOR=37,
1653                MATOP_ICCFACTOR=38,
1654                MATOP_AXPY=39,
1655                MATOP_CREATE_SUBMATRICES=40,
1656                MATOP_INCREASE_OVERLAP=41,
1657                MATOP_GET_VALUES=42,
1658                MATOP_COPY=43,
1659                MATOP_GET_ROW_MAX=44,
1660                MATOP_SCALE=45,
1661                MATOP_SHIFT=46,
1662                MATOP_DIAGONAL_SET=47,
1663                MATOP_ZERO_ROWS_COLUMNS=48,
1664                MATOP_SET_RANDOM=49,
1665                MATOP_GET_ROW_IJ=50,
1666                MATOP_RESTORE_ROW_IJ=51,
1667                MATOP_GET_COLUMN_IJ=52,
1668                MATOP_RESTORE_COLUMN_IJ=53,
1669                MATOP_FDCOLORING_CREATE=54,
1670                MATOP_COLORING_PATCH=55,
1671                MATOP_SET_UNFACTORED=56,
1672                MATOP_PERMUTE=57,
1673                MATOP_SET_VALUES_BLOCKED=58,
1674                MATOP_CREATE_SUBMATRIX=59,
1675                MATOP_DESTROY=60,
1676                MATOP_VIEW=61,
1677                MATOP_CONVERT_FROM=62,
1678                /* MATOP_PLACEHOLDER_63=63 */
1679                MATOP_MATMAT_MULT_SYMBOLIC=64,
1680                MATOP_MATMAT_MULT_NUMERIC=65,
1681                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1682                MATOP_SET_VALUES_LOCAL=67,
1683                MATOP_ZERO_ROWS_LOCAL=68,
1684                MATOP_GET_ROW_MAX_ABS=69,
1685                MATOP_GET_ROW_MIN_ABS=70,
1686                MATOP_CONVERT=71,
1687                MATOP_HAS_OPERATION=72,
1688                /* MATOP_PLACEHOLDER_73=73, */
1689                MATOP_SET_VALUES_ADIFOR=74,
1690                MATOP_FD_COLORING_APPLY=75,
1691                MATOP_SET_FROM_OPTIONS=76,
1692                /* MATOP_PLACEHOLDER_77=77, */
1693                /* MATOP_PLACEHOLDER_78=78, */
1694                MATOP_FIND_ZERO_DIAGONALS=79,
1695                MATOP_MULT_MULTIPLE=80,
1696                MATOP_SOLVE_MULTIPLE=81,
1697                MATOP_GET_INERTIA=82,
1698                MATOP_LOAD=83,
1699                MATOP_IS_SYMMETRIC=84,
1700                MATOP_IS_HERMITIAN=85,
1701                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1702                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1703                MATOP_CREATE_VECS=88,
1704                /* MATOP_PLACEHOLDER_89=89, */
1705                MATOP_MAT_MULT_SYMBOLIC=90,
1706                MATOP_MAT_MULT_NUMERIC=91,
1707                /* MATOP_PLACEHOLDER_92=92, */
1708                MATOP_PTAP_SYMBOLIC=93,
1709                MATOP_PTAP_NUMERIC=94,
1710                /* MATOP_PLACEHOLDER_95=95, */
1711                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1712                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1713                MATOP_BIND_TO_CPU=98,
1714                MATOP_PRODUCTSETFROMOPTIONS=99,
1715                MATOP_PRODUCTSYMBOLIC=100,
1716                MATOP_PRODUCTNUMERIC=101,
1717                MATOP_CONJUGATE=102,
1718                MATOP_VIEW_NATIVE=103,
1719                MATOP_SET_VALUES_ROW=104,
1720                MATOP_REAL_PART=105,
1721                MATOP_IMAGINARY_PART=106,
1722                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1723                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1724                MATOP_MAT_SOLVE=109,
1725                MATOP_MAT_SOLVE_TRANSPOSE=110,
1726                MATOP_GET_ROW_MIN=111,
1727                MATOP_GET_COLUMN_VECTOR=112,
1728                MATOP_MISSING_DIAGONAL=113,
1729                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1730                MATOP_CREATE=115,
1731                MATOP_GET_GHOSTS=116,
1732                MATOP_GET_LOCAL_SUB_MATRIX=117,
1733                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1734                MATOP_MULT_DIAGONAL_BLOCK=119,
1735                MATOP_HERMITIAN_TRANSPOSE=120,
1736                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1737                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1738                MATOP_GET_MULTI_PROC_BLOCK=123,
1739                MATOP_FIND_NONZERO_ROWS=124,
1740                MATOP_GET_COLUMN_NORMS=125,
1741                MATOP_INVERT_BLOCK_DIAGONAL=126,
1742                MATOP_INVERT_VBLOCK_DIAGONAL=127,
1743                MATOP_CREATE_SUB_MATRICES_MPI=128,
1744                MATOP_SET_VALUES_BATCH=129,
1745                /* MATOP_PLACEHOLDER_130=130, */
1746                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1747                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1748                MATOP_TRANSPOSE_COLORING_CREAT=133,
1749                MATOP_TRANS_COLORING_APPLY_SPT=134,
1750                MATOP_TRANS_COLORING_APPLY_DEN=135,
1751                /* MATOP_PLACEHOLDER_136=136, */
1752                MATOP_RART_SYMBOLIC=137,
1753                MATOP_RART_NUMERIC=138,
1754                MATOP_SET_BLOCK_SIZES=139,
1755                MATOP_AYPX=140,
1756                MATOP_RESIDUAL=141,
1757                MATOP_FDCOLORING_SETUP=142,
1758                MATOP_FIND_OFFBLOCK_ENTRIES=143,
1759                MATOP_MPICONCATENATESEQ=144,
1760                MATOP_DESTROYSUBMATRICES=145,
1761                MATOP_TRANSPOSE_SOLVE=146,
1762                MATOP_GET_VALUES_LOCAL=147
1763              } MatOperation;
1764 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat,MatOperation,void(*)(void));
1765 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat,MatOperation,void(**)(void));
1766 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool*);
1767 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat,PetscBool*);
1768 PETSC_DEPRECATED_FUNCTION("Use MatProductClear() (since version 3.14)") static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A) {return MatProductClear(A);}
1769 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1770 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1771 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1772 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat,VecType);
1773 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1774 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1775 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1776 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat,MatProductType,PetscErrorCode (*)(Mat,Mat,Mat,void**),PetscErrorCode (*)(Mat,Mat,Mat,void*),PetscErrorCode (*)(void*),MatType,MatType);
1777 PETSC_EXTERN PetscErrorCode MatIsShell(Mat,PetscBool*);
1778 
1779 /*
1780    Codes for matrices stored on disk. By default they are
1781    stored in a universal format. By changing the format with
1782    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1783    be stored in a way natural for the matrix, for example dense matrices
1784    would be stored as dense. Matrices stored this way may only be
1785    read into matrices of the same type.
1786 */
1787 #define MATRIX_BINARY_FORMAT_DENSE -1
1788 
1789 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1790 
1791 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat,MatType);
1792 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1793 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat,PetscBool);
1794 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat,PetscBool);
1795 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1796 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1797 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1798 PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
1799 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1800 
1801 /*S
1802      MatNullSpace - Object that removes a null space from a vector, i.e.
1803          orthogonalizes the vector to a subspace
1804 
1805    Level: advanced
1806 
1807 .seealso: `MatNullSpaceCreate()`
1808 S*/
1809 typedef struct _p_MatNullSpace* MatNullSpace;
1810 
1811 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1812 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1813 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1814 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1815 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1816 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1817 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1818 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1819 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1820 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1821 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1822 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1823 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1824 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1825 
1826 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1827 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1828 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1829 
1830 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1831 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1832 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1833 
1834 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat,MatType,Mat*);
1835 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat,MatType,Mat*);
1836 
1837 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperator(Mat A,Mat* B) { return MatComputeOperator(A,NULL,B); }
1838 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A,Mat* B) { return MatComputeOperatorTranspose(A,NULL,B); }
1839 
1840 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat,PetscInt,PetscInt,const PetscScalar[],const PetscScalar[],Mat*);
1841 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat,Mat*);
1842 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat,PetscInt*,PetscInt*,PetscScalar**);
1843 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1844 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat,PetscScalar**);
1845 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat,const PetscScalar**);
1846 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat,PetscInt*,PetscInt*,PetscScalar**);
1847 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1848 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat,PetscScalar**);
1849 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat,const PetscScalar**);
1850 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat,Mat);
1851 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat,PetscInt,PetscInt,const PetscScalar[]);
1852 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat,PetscInt,PetscInt,const PetscScalar[]);
1853 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat,PetscBool*);
1854 
1855 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1856 
1857 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1858 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1859 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1860 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1861 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1862 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1863 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1864 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1865 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1866 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1867 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1868 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1869 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1870 
1871 /*S
1872     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1873               Jacobian vector products
1874 
1875     Notes:
1876     MATMFFD is a specific MatType which uses the MatMFFD data structure
1877 
1878            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1879 
1880     Level: developer
1881 
1882 .seealso: `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`
1883 S*/
1884 typedef struct _p_MatMFFD* MatMFFD;
1885 
1886 /*J
1887     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1888 
1889    Level: beginner
1890 
1891 .seealso: `MatMFFDSetType()`, `MatMFFDRegister()`
1892 J*/
1893 typedef const char* MatMFFDType;
1894 #define MATMFFD_DS  "ds"
1895 #define MATMFFD_WP  "wp"
1896 
1897 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1898 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1899 
1900 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1901 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool);
1902 
1903 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1904 
1905 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1906 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1907 
1908 #ifdef PETSC_HAVE_H2OPUS
1909 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatH2OpusKernel)(PetscInt,PetscReal[],PetscReal[],void*);
1910 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscReal[],PetscBool,MatH2OpusKernel,void*,PetscReal,PetscInt,PetscInt,Mat*);
1911 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat,PetscInt,const PetscReal[],PetscBool,PetscReal,PetscInt,PetscInt,PetscInt,PetscReal,Mat*);
1912 PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat,Mat,PetscInt,PetscReal);
1913 PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
1914 PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat,PetscReal);
1915 PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat,PetscBool);
1916 PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat,PetscBool*);
1917 PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat,IS*);
1918 PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat,PetscBool,Vec,Vec*);
1919 PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat,Mat,Mat,PetscScalar);
1920 #endif
1921 
1922 #ifdef PETSC_HAVE_HTOOL
1923 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatHtoolKernel)(PetscInt,PetscInt,PetscInt,const PetscInt*,const PetscInt*,PetscScalar*,void*);
1924 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscReal[],const PetscReal[],MatHtoolKernel,void*,Mat*);
1925 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat,MatHtoolKernel,void*);
1926 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat,IS*);
1927 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat,IS*);
1928 PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat,PetscBool);
1929 /*E
1930      MatHtoolCompressorType - Indicates the type of compressor used by a MATHTOOL
1931 
1932    Level: beginner
1933 
1934     Values:
1935 +   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA (default) - symmetric partial adaptive cross approximation
1936 .   MAT_HTOOL_COMPRESSOR_FULL_ACA - full adaptive cross approximation
1937 -   MAT_HTOOL_COMPRESSOR_SVD - singular value decomposition
1938 
1939 .seealso: `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
1940 E*/
1941 typedef enum { MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA, MAT_HTOOL_COMPRESSOR_FULL_ACA, MAT_HTOOL_COMPRESSOR_SVD } MatHtoolCompressorType;
1942 /*E
1943      MatHtoolClusteringType - Indicates the type of clustering used by a MATHTOOL
1944 
1945    Level: beginner
1946 
1947     Values:
1948 +   MAT_HTOOL_CLUSTERING_PCA_REGULAR (default) - axis computed via principle component analysis, split uniformly
1949 .   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC - axis computed via principle component analysis, split barycentrically
1950 .   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR - axis along the largest extent of the bounding box, split uniformly
1951 -   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC - axis along the largest extent of the bounding box, split barycentrically
1952 
1953     Notes: higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
1954 
1955 .seealso: `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
1956 E*/
1957 typedef enum { MAT_HTOOL_CLUSTERING_PCA_REGULAR, MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC, MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR, MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC } MatHtoolClusteringType;
1958 #endif
1959 
1960 /*
1961    PETSc interface to MUMPS
1962 */
1963 #ifdef PETSC_HAVE_MUMPS
1964 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1965 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1966 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1967 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1968 
1969 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1970 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1971 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1972 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1973 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat,Mat);
1974 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat,Mat);
1975 #endif
1976 
1977 /*
1978    PETSc interface to Mkl_Pardiso
1979 */
1980 #ifdef PETSC_HAVE_MKL_PARDISO
1981 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1982 #endif
1983 
1984 /*
1985    PETSc interface to Mkl_CPardiso
1986 */
1987 #ifdef PETSC_HAVE_MKL_CPARDISO
1988 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1989 #endif
1990 
1991 /*
1992    PETSc interface to SUPERLU
1993 */
1994 #ifdef PETSC_HAVE_SUPERLU
1995 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1996 #endif
1997 
1998 /*
1999    PETSc interface to SUPERLU_DIST
2000 */
2001 #ifdef PETSC_HAVE_SUPERLU_DIST
2002 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
2003 #endif
2004 
2005 /*
2006    PETSc interface to STRUMPACK
2007 */
2008 #ifdef PETSC_HAVE_STRUMPACK
2009 /*E
2010     MatSTRUMPACKReordering - sparsity reducing ordering to be used in STRUMPACK
2011 
2012     Level: intermediate
2013 E*/
2014 typedef enum {MAT_STRUMPACK_NATURAL=0,
2015               MAT_STRUMPACK_METIS=1,
2016               MAT_STRUMPACK_PARMETIS=2,
2017               MAT_STRUMPACK_SCOTCH=3,
2018               MAT_STRUMPACK_PTSCOTCH=4,
2019               MAT_STRUMPACK_RCM=5} MatSTRUMPACKReordering;
2020 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat,MatSTRUMPACKReordering);
2021 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
2022 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat,PetscReal);
2023 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat,PetscReal rtol) {return MatSTRUMPACKSetHSSRelTol(mat,rtol);}
2024 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat,PetscReal);
2025 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat,PetscInt);
2026 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat,PetscInt hssminsize) {return MatSTRUMPACKSetHSSMinSepSize(mat,hssminsize);}
2027 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat,PetscInt);
2028 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat,PetscInt);
2029 #endif
2030 
2031 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat,PetscBool);
2032 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat,PetscBool*);
2033 PETSC_DEPRECATED_FUNCTION("Use MatBindToCPU (since v3.13)") static inline PetscErrorCode MatPinToCPU(Mat A,PetscBool flg) {return MatBindToCPU(A,flg);}
2034 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat,PetscBool);
2035 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat,PetscBool *);
2036 
2037 typedef struct _n_SplitCSRMat *PetscSplitCSRDataStructure;
2038 PETSC_EXTERN PetscErrorCode MatCUSPARSEGetDeviceMatWrite(Mat,PetscSplitCSRDataStructure*);
2039 
2040 #ifdef PETSC_HAVE_KOKKOS_KERNELS
2041 PETSC_EXTERN PetscErrorCode MatKokkosGetDeviceMatWrite(Mat,PetscSplitCSRDataStructure*);
2042 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosSetDeviceMat(Mat,PetscSplitCSRDataStructure);
2043 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosGetDeviceMat(Mat,PetscSplitCSRDataStructure*);
2044 #endif
2045 
2046 #ifdef PETSC_HAVE_CUDA
2047 /*E
2048     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
2049     matrices.
2050 
2051     Not Collective
2052 
2053 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
2054 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
2055 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2056 
2057     Level: intermediate
2058 
2059    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
2060 
2061 .seealso: `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2062 E*/
2063 
2064 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
2065 
2066 /* these will be strings associated with enumerated type defined above */
2067 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2068 
2069 /*E
2070     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
2071     matrices whose operation should use a particular storage format.
2072 
2073     Not Collective
2074 
2075 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
2076 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
2077 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
2078 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
2079 
2080     Level: intermediate
2081 
2082 .seealso: `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2083 E*/
2084 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
2085 
2086 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
2087 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
2088 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
2089 PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat,PetscBool);
2090 typedef struct Mat_SeqAIJCUSPARSETriFactors* Mat_SeqAIJCUSPARSETriFactors_p;
2091 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat,PetscBool,const int**,const int**);
2092 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat,PetscBool,const int**,const int**);
2093 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat,const PetscScalar**);
2094 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat,const PetscScalar**);
2095 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat,PetscScalar**);
2096 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat,PetscScalar**);
2097 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat,PetscScalar**);
2098 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat,PetscScalar**);
2099 
2100 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
2101 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
2102 PETSC_EXTERN PetscErrorCode MatMPIDenseCUDASetPreallocation(Mat,PetscScalar[]);
2103 PETSC_EXTERN PetscErrorCode MatSeqDenseCUDASetPreallocation(Mat,PetscScalar[]);
2104 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat,PetscScalar**);
2105 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat,const PetscScalar**);
2106 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat,PetscScalar**);
2107 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat,PetscScalar**);
2108 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat,const PetscScalar**);
2109 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat,PetscScalar**);
2110 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat,const PetscScalar*);
2111 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat,const PetscScalar*);
2112 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2113 
2114 #endif
2115 
2116 #if defined(PETSC_HAVE_VIENNACL)
2117 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
2118 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
2119 #endif
2120 
2121 /*
2122    PETSc interface to FFTW
2123 */
2124 #if defined(PETSC_HAVE_FFTW)
2125 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
2126 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
2127 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
2128 #endif
2129 
2130 #if defined(PETSC_HAVE_SCALAPACK)
2131 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
2132 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat,PetscInt,PetscInt);
2133 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat,PetscInt*,PetscInt*);
2134 #endif
2135 
2136 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
2137 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
2138 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
2139 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
2140 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
2141 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
2142 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
2143 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
2144 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
2145 
2146 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
2147 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
2148 
2149 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
2150 
2151 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
2152 
2153 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
2154 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
2155 
2156 PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat,const PetscInt**,const PetscInt**,PetscScalar**,PetscMemType*);
2157 
2158 PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat,PetscBool,PetscBool,Mat*);
2159 PETSC_EXTERN PetscErrorCode MatFilter(Mat,PetscReal,Mat*);
2160 
2161 #endif
2162