xref: /petsc/include/petscmat.h (revision c66e0907e1a0ab9d8ee6ee3f7f3f2f207451f213)
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,PetscInt[],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_STRUCTURAL_SYMMETRY_ETERNAL = 25,
505               MAT_SPD_ETERNAL = 26,
506               MAT_OPTION_MAX = 27} MatOption;
507 
508 PETSC_EXTERN const char *const *MatOptions;
509 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
510 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
511 PETSC_EXTERN PetscErrorCode MatPropagateSymmetryOptions(Mat,Mat);
512 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
513 
514 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
515 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
516 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
517 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
518 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
519 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
520 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
521 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArrayRead(Mat,const PetscScalar *[]);
522 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArrayWrite(Mat,PetscScalar *[]);
523 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
524 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArrayRead(Mat,const PetscScalar *[]);
525 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArrayWrite(Mat,PetscScalar *[]);
526 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
527 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
528 PETSC_EXTERN PetscErrorCode MatSeqAIJSetType(Mat,MatType);
529 PETSC_EXTERN PetscErrorCode MatSeqAIJKron(Mat,Mat,MatReuse,Mat*);
530 PETSC_EXTERN PetscErrorCode MatSeqAIJRegister(const char[],PetscErrorCode (*)(Mat,MatType,MatReuse,Mat *));
531 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
532 PETSC_EXTERN PetscErrorCode MatSeqBAIJGetArray(Mat,PetscScalar *[]);
533 PETSC_EXTERN PetscErrorCode MatSeqBAIJRestoreArray(Mat,PetscScalar *[]);
534 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
535 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
536 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
537 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
538 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
539 PETSC_EXTERN PetscErrorCode MatDenseReplaceArray(Mat,const PetscScalar[]);
540 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
541 PETSC_EXTERN PetscErrorCode MatDenseGetArrayRead(Mat,const PetscScalar *[]);
542 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayRead(Mat,const PetscScalar *[]);
543 PETSC_EXTERN PetscErrorCode MatDenseGetArrayWrite(Mat,PetscScalar *[]);
544 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayWrite(Mat,PetscScalar *[]);
545 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
546 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
547 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
548 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
549 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
550 PETSC_EXTERN PetscErrorCode MatSetVariableBlockSizes(Mat,PetscInt,PetscInt*);
551 PETSC_EXTERN PetscErrorCode MatGetVariableBlockSizes(Mat,PetscInt*,const PetscInt**);
552 
553 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat,PetscInt,PetscScalar*[]);
554 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat,PetscScalar*[]);
555 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat,PetscInt,Vec*);
556 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat,PetscInt,Vec*);
557 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat,PetscInt,Vec*);
558 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat,PetscInt,Vec*);
559 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat,PetscInt,Vec*);
560 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat,PetscInt,Vec*);
561 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
562 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat,Mat*);
563 
564 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
565 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
566 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
567 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
568 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
569 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
570 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
571 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
572 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
573 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
574 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
575 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat,Mat,Mat);
576 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
577 
578 /*E
579     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
580   its numerical values copied over or just its nonzero structure.
581 
582     Level: beginner
583 
584    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
585 
586 $   MAT_DO_NOT_COPY_VALUES    - Create a matrix using the same nonzero pattern as the original matrix,
587 $                               with zeros for the numerical values.
588 $   MAT_COPY_VALUES           - Create a matrix with the same nonzero pattern as the original matrix
589 $                               and with the same numerical values.
590 $   MAT_SHARE_NONZERO_PATTERN - Create a matrix that shares the nonzero structure with the previous matrix
591 $                               and does not copy it, using zeros for the numerical values. The parent and
592 $                               child matrices will share their index (i and j) arrays, and you cannot
593 $                               insert new nonzero entries into either matrix.
594 
595 Notes:
596     Many matrix types (including SeqAIJ) do not support the MAT_SHARE_NONZERO_PATTERN optimization; in
597 this case the behavior is as if MAT_DO_NOT_COPY_VALUES has been specified.
598 
599 .seealso: `MatDuplicate()`
600 E*/
601 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
602 
603 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
604 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
605 
606 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
607 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
608 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
609 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
610 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
611 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
612 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
613 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat,PetscBool *,PetscBool*);
614 PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat,PetscBool*,PetscBool*);
615 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
616 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
617 
618 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
619 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
620 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
621 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
622 
623 /*S
624      MatInfo - Context of matrix information, used with MatGetInfo()
625 
626    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
627 
628    Level: intermediate
629 
630 .seealso: `MatGetInfo()`, `MatInfoType`
631 S*/
632 typedef struct {
633   PetscLogDouble block_size;                         /* block size */
634   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
635   PetscLogDouble memory;                             /* memory allocated */
636   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
637   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
638   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
639   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
640 } MatInfo;
641 
642 /*E
643     MatInfoType - Indicates if you want information about the local part of the matrix,
644      the entire parallel matrix or the maximum over all the local parts.
645 
646     Level: beginner
647 
648    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
649 
650 .seealso: `MatGetInfo()`, `MatInfo`
651 E*/
652 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
653 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
654 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
655 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
656 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
657 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
658 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
659 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
660 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
661 PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat,Mat*);
662 PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat,Mat);
663 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
664 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
665 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
666 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
667 
668 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
669 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
670 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
671 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
672 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
673 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
674 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
675 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
676 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
677 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
678 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
679 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
680 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat,PetscInt,PetscBool*);
681 
682 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
683 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
684 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat,PetscScalar*);
685 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat,PetscReal*);
686 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat,PetscReal*);
687 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat,PetscScalar*);
688 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat,PetscReal*);
689 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat,PetscReal*);
690 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat,PetscInt,PetscReal*);
691 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
692 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
693 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
694 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
695 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
696 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
697 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
698 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
699 
700 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
701 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
702 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
703 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
704 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
705 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
706 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
707 
708 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
709 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);}
710 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
711 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);}
712 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
713 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
714 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
715 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);}
716 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
717 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
718 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
719 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
720 
721 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
722 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
723 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
724 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
725 PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat,Mat*);
726 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
727 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat,MatReuse,IS*,Mat*);
728 PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat,PetscCount*);
729 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
730 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
731 
732 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
733 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
734 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
735 
736 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
737 
738 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
739 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
740 
741 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
742 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
743 
744 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
745 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
746 
747 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
748 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
749 
750 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
751 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
752 
753 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
754 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
755 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
756 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat,PetscLayout,PetscLayout);
757 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
758 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
759 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
760 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
761 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
762 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
763 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
764 
765 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
766 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
767 
768 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
769 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
770 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
771 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat,Mat,Mat*);
772 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat,Mat,Mat,Mat*);
773 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat,Mat,Mat*);
774 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
775 PETSC_DEPRECATED_FUNCTION("Use MatCreateVecs() (since version 3.6)") static inline PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
776 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
777 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
778 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
779 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
780 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
781 
782 /*MC
783    MatSetValue - Set a single entry into a matrix.
784 
785    Not collective
786 
787    Synopsis:
788      #include <petscmat.h>
789      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
790 
791    Input Parameters:
792 +  m - the matrix
793 .  row - the row location of the entry
794 .  col - the column location of the entry
795 .  value - the value to insert
796 -  mode - either INSERT_VALUES or ADD_VALUES
797 
798    Notes:
799    For efficiency one should use MatSetValues() and set several values simultaneously.
800 
801    Level: beginner
802 
803 .seealso: `MatGetValue()`, `MatSetValues()`, `MatSetValueLocal()`, `MatSetValuesLocal()`
804 M*/
805 static inline PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
806 
807 /*@C
808    MatGetValue - Gets a single value from a matrix
809 
810    Not Collective; can only return a value owned by the given process
811 
812    Input Parameters:
813 +  mat - the matrix
814 .  row - the row location of the entry
815 -  col - the column location of the entry
816 
817    Output Parameter:
818 .  va - the value
819 
820    Notes:
821    For efficiency one should use MatGetValues() and get several values simultaneously.
822 
823    See notes for MatGetValues().
824 
825    Level: advanced
826 
827 .seealso: `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
828 @*/
829 static inline PetscErrorCode MatGetValue(Mat mat,PetscInt row,PetscInt col,PetscScalar *va) {return MatGetValues(mat,1,&row,1,&col,va);}
830 
831 /*MC
832    MatSetValueLocal - Inserts or adds a single value into a matrix,
833    using a local numbering of the nodes.
834 
835    Not Collective
836 
837    Input Parameters:
838 +  m - the matrix
839 .  row - the row location of the entry
840 .  col - the column location of the entry
841 .  value - the value to insert
842 -  mode - either INSERT_VALUES or ADD_VALUES
843 
844    Notes:
845    For efficiency one should use MatSetValuesLocal() and set several values simultaneously.
846 
847    See notes for MatSetValuesLocal() for additional information on when and how this function can be used.
848 
849    Level: intermediate
850 
851 .seealso: `MatSetValue()`, `MatSetValuesLocal()`
852 M*/
853 static inline PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
854 
855 /*MC
856    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
857        row in a matrix providing the data that one can use to correctly preallocate the matrix.
858 
859    Synopsis:
860    #include <petscmat.h>
861    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
862 
863    Collective
864 
865    Input Parameters:
866 +  comm - the communicator that will share the eventually allocated matrix
867 .  nrows - the number of LOCAL rows in the matrix
868 -  ncols - the number of LOCAL columns in the matrix
869 
870    Output Parameters:
871 +  dnz - the array that will be passed to the matrix preallocation routines
872 -  onz - the other array passed to the matrix preallocation routines
873 
874    Level: intermediate
875 
876    Notes:
877     This is a macro that handles its own error checking, it does not return an error code.
878 
879     See Users-Manual: ch_performance for more details.
880 
881     Do not malloc or free dnz and onz, that is handled internally by these routines
882 
883    Developer Notes:
884     This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
885 
886 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
887           `MatPreallocateSymmetricSetLocalBlock()`
888 M*/
889 #define MatPreallocateBegin(comm,nrows,ncols,dnz,onz)  do {                             \
890   PetscInt __nrows = (nrows),__ncols = (ncols),__rstart,__start,__end = 0;                     \
891   PetscCall(PetscCalloc2(__nrows,&(dnz),__nrows,&(onz)));                                        \
892   PetscCallMPI(MPI_Scan(&__ncols,&__end,1,MPIU_INT,MPI_SUM,comm));                                \
893   __start = __end - __ncols; (void)__start;                                                    \
894   PetscCallMPI(MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm));                             \
895   __rstart -= __nrows
896 
897 #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateBegin() (since version 3.18)\"") MatPreallocateBegin(__VA_ARGS__)
898 
899 /*MC
900    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
901        inserted using a local number of the rows and columns
902 
903    Synopsis:
904    #include <petscmat.h>
905    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
906 
907    Not Collective
908 
909    Input Parameters:
910 +  map - the row mapping from local numbering to global numbering
911 .  nrows - the number of rows indicated
912 .  rows - the indices of the rows
913 .  cmap - the column mapping from local to global numbering
914 .  ncols - the number of columns in the matrix
915 .  cols - the columns indicated
916 .  dnz - the array that will be passed to the matrix preallocation routines
917 -  onz - the other array passed to the matrix preallocation routines
918 
919    Level: intermediate
920 
921    Notes:
922     See Users-Manual: ch_performance for more details.
923 
924    Do not malloc or free dnz and onz, that is handled internally by these routines
925 
926 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
927           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
928 M*/
929 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz)                        \
930   PetscMacroReturnStandard(                                                                    \
931     PetscCall(ISLocalToGlobalMappingApply(rmap,nrows,rows,rows));                                \
932     PetscCall(ISLocalToGlobalMappingApply(cmap,ncols,cols,cols));                                \
933     for (PetscInt __l=0;__l<nrows;__l++) PetscCall(MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz)); \
934   )
935 
936 /*MC
937    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
938        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
939 
940    Synopsis:
941    #include <petscmat.h>
942    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
943 
944    Not Collective
945 
946    Input Parameters:
947 +  map - the row mapping from local numbering to global numbering
948 .  nrows - the number of rows indicated
949 .  rows - the indices of the rows (these values are mapped to the global values)
950 .  cmap - the column mapping from local to global numbering
951 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
952 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
953 .  dnz - the array that will be passed to the matrix preallocation routines
954 -  onz - the other array passed to the matrix preallocation routines
955 
956    Level: intermediate
957 
958    Notes:
959     See Users-Manual: ch_performance for more details.
960 
961    Do not malloc or free dnz and onz, that is handled internally by these routines
962 
963 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
964           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
965 M*/
966 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz)              \
967   PetscMacroReturnStandard(                                                                    \
968     PetscCall(ISLocalToGlobalMappingApply(rmap,nrows,rows,rows));                                \
969     PetscCall(ISLocalToGlobalMappingApply(cmap,ncols,cols,cols));                                \
970     PetscCall(PetscSortRemoveDupsInt(&ncols,cols));                                              \
971     for (PetscInt __l=0;__l<nrows;__l++) PetscCall(MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz)); \
972   )
973 
974 /*MC
975    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
976        inserted using a local number of the rows and columns
977 
978    Synopsis:
979    #include <petscmat.h>
980    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
981 
982    Not Collective
983 
984    Input Parameters:
985 +  map - the row mapping from local numbering to global numbering
986 .  nrows - the number of rows indicated
987 .  rows - the indices of the rows
988 .  cmap - the column mapping from local to global numbering
989 .  ncols - the number of columns in the matrix
990 .  cols - the columns indicated
991 .  dnz - the array that will be passed to the matrix preallocation routines
992 -  onz - the other array passed to the matrix preallocation routines
993 
994    Level: intermediate
995 
996    Notes:
997     See Users-Manual: ch_performance for more details.
998 
999    Do not malloc or free dnz and onz, that is handled internally by these routines
1000 
1001 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1002           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1003 M*/
1004 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz)                   \
1005   PetscMacroReturnStandard(                                                                    \
1006     PetscCall(ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows));                           \
1007     PetscCall(ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols));                           \
1008     for (PetscInt __l=0;__l<nrows;__l++) PetscCall(MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz)); \
1009   )
1010 
1011 /*MC
1012    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1013        inserted using a local number of the rows and columns
1014 
1015    Synopsis:
1016    #include <petscmat.h>
1017    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1018 
1019    Not Collective
1020 
1021    Input Parameters:
1022 +  map - the mapping between local numbering and global numbering
1023 .  nrows - the number of rows indicated
1024 .  rows - the indices of the rows
1025 .  ncols - the number of columns in the matrix
1026 .  cols - the columns indicated
1027 .  dnz - the array that will be passed to the matrix preallocation routines
1028 -  onz - the other array passed to the matrix preallocation routines
1029 
1030    Level: intermediate
1031 
1032    Notes:
1033     See Users-Manual: ch_performance for more details.
1034 
1035    Do not malloc or free dnz and onz that is handled internally by these routines
1036 
1037 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`
1038           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1039 M*/
1040 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz)                \
1041   PetscMacroReturnStandard(                                                                    \
1042     PetscCall(ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows));                            \
1043     PetscCall(ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols));                            \
1044     for (PetscInt __l=0;__l<nrows;__l++) PetscCall(MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz)); \
1045   )
1046 
1047 /*MC
1048    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1049        inserted using a local number of the rows and columns
1050 
1051    Synopsis:
1052    #include <petscmat.h>
1053    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1054 
1055    Not Collective
1056 
1057    Input Parameters:
1058 +  row - the row
1059 .  ncols - the number of columns in the matrix
1060 -  cols - the columns indicated
1061 
1062    Output Parameters:
1063 +  dnz - the array that will be passed to the matrix preallocation routines
1064 -  onz - the other array passed to the matrix preallocation routines
1065 
1066    Level: intermediate
1067 
1068    Notes:
1069     See Users-Manual: ch_performance for more details.
1070 
1071    Do not malloc or free dnz and onz that is handled internally by these routines
1072 
1073    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1074 
1075 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1076           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1077 M*/
1078 #define MatPreallocateSet(row,nc,cols,dnz,onz) PetscMacroReturnStandard(                       \
1079     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); \
1080     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); \
1081     for (PetscInt __i = 0; __i < nc; ++__i) {                                                  \
1082       if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++;                \
1083       else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;                           \
1084     }                                                                                          \
1085   )
1086 
1087 /*MC
1088    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1089        inserted using a local number of the rows and columns
1090 
1091    Synopsis:
1092    #include <petscmat.h>
1093    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1094 
1095    Not Collective
1096 
1097    Input Parameters:
1098 +  nrows - the number of rows indicated
1099 .  rows - the indices of the rows
1100 .  ncols - the number of columns in the matrix
1101 .  cols - the columns indicated
1102 .  dnz - the array that will be passed to the matrix preallocation routines
1103 -  onz - the other array passed to the matrix preallocation routines
1104 
1105    Level: intermediate
1106 
1107    Notes:
1108     See Users-Manual: ch_performance for more details.
1109 
1110    Do not malloc or free dnz and onz that is handled internally by these routines
1111 
1112    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1113 
1114 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1115           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1116 M*/
1117 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz)                                   \
1118   PetscMacroReturnStandard(                                                                    \
1119     for (PetscInt __i=0; __i<nc; __i++) {                                                      \
1120       if (cols[__i] >= __end) onz[row - __rstart]++;                                           \
1121       else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;       \
1122     }                                                                                          \
1123   )
1124 
1125 /*MC
1126    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1127 
1128    Synopsis:
1129    #include <petscmat.h>
1130    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1131 
1132    Not Collective
1133 
1134    Input Parameters:
1135 +  A - matrix
1136 .  row - row where values exist (must be local to this process)
1137 .  ncols - number of columns
1138 .  cols - columns with nonzeros
1139 .  dnz - the array that will be passed to the matrix preallocation routines
1140 -  onz - the other array passed to the matrix preallocation routines
1141 
1142    Level: intermediate
1143 
1144    Notes:
1145     See Users-Manual: ch_performance for more details.
1146 
1147    Do not malloc or free dnz and onz that is handled internally by these routines
1148 
1149    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
1150 
1151 .seealso: `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1152           `MatPreallocateSymmetricSetLocalBlock()`
1153 M*/
1154 #define MatPreallocateLocation(A,row,ncols,cols,dnz,onz)  (A ? MatSetValues(A,1,&row,ncols,cols,NULL,INSERT_VALUES) : MatPreallocateSet(row,ncols,cols,dnz,onz))
1155 
1156 /*MC
1157    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1158        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1159 
1160    Synopsis:
1161    #include <petscmat.h>
1162    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)
1163 
1164    Collective
1165 
1166    Input Parameters:
1167 +  dnz - the array that was be passed to the matrix preallocation routines
1168 -  onz - the other array passed to the matrix preallocation routines
1169 
1170    Level: intermediate
1171 
1172    Notes:
1173     This is a macro that handles its own error checking, it does not return an error code.
1174 
1175     See Users-Manual: ch_performance for more details.
1176 
1177     Do not malloc or free dnz and onz, that is handled internally by these routines
1178 
1179    Developer Notes:
1180     This is a MACRO not a function because it closes the { started in MatPreallocateBegin().
1181 
1182 .seealso: `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1183           `MatPreallocateSymmetricSetLocalBlock()`
1184 M*/
1185 #define MatPreallocateEnd(dnz,onz) PetscCall(PetscFree2(dnz,onz));} while (0)
1186 
1187 #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateEnd() (since version 3.18)\"") MatPreallocateEnd(__VA_ARGS__)
1188 
1189 /* Routines unique to particular data structures */
1190 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
1191 
1192 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
1193 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1194 
1195 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1196 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1197 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1198 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1199 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1200 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
1201 
1202 #define MAT_SKIP_ALLOCATION -4
1203 
1204 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1205 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1206 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1207 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat,PetscInt);
1208 
1209 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1210 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1211 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1212 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1213 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1214 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1215 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1216 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1217 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat,Mat*);
1218 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat,Mat*);
1219 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1220 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1221 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1222 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1223 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1224 
1225 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat,PetscInt*);
1226 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat,PetscInt);
1227 PETSC_DEPRECATED_FUNCTION("Use MatDenseSetLDA() (since version 3.14)") static inline PetscErrorCode MatSeqDenseSetLDA(Mat A,PetscInt lda) {return MatDenseSetLDA(A,lda);}
1228 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1229 
1230 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1231 
1232 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1233 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1234 
1235 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1236 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1237 /*
1238   These routines are not usually accessed directly, rather solving is
1239   done through the KSP and PC interfaces.
1240 */
1241 
1242 /*J
1243     MatOrderingType - String with the name of a PETSc matrix ordering
1244 
1245    Level: beginner
1246 
1247    Notes:
1248       If MATORDERINGEXTERNAL is used then PETSc does not compute an ordering and utilizes one built into the factorization package
1249 
1250 .seealso: `MatGetOrdering()`
1251 J*/
1252 typedef const char* MatOrderingType;
1253 #define MATORDERINGNATURAL        "natural"
1254 #define MATORDERINGND             "nd"
1255 #define MATORDERING1WD            "1wd"
1256 #define MATORDERINGRCM            "rcm"
1257 #define MATORDERINGQMD            "qmd"
1258 #define MATORDERINGROWLENGTH      "rowlength"
1259 #define MATORDERINGWBM            "wbm"
1260 #define MATORDERINGSPECTRAL       "spectral"
1261 #define MATORDERINGAMD            "amd"            /* only works if UMFPACK is installed with PETSc */
1262 #define MATORDERINGMETISND        "metisnd"        /* only works if METIS is installed with PETSc */
1263 #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 */
1264 #define MATORDERINGEXTERNAL       "external"       /* uses an ordering type internal to the factorization package */
1265 
1266 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1267 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1268 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1269 PETSC_EXTERN PetscFunctionList MatOrderingList;
1270 
1271 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1272 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1273 
1274 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat,MatFactorType,MatOrderingType*);
1275 
1276 /*S
1277     MatFactorShiftType - Numeric Shift for factorizations
1278 
1279    Level: beginner
1280 
1281 .seealso: `MatGetFactor()`
1282 S*/
1283 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1284 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1285 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1286 
1287 /*S
1288     MatFactorError - indicates what type of error was generated in a matrix factorization
1289 
1290     Level: beginner
1291 
1292     Developer Notes:
1293     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1294 
1295 .seealso: `MatGetFactor()`
1296 S*/
1297 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1298 
1299 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1300 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1301 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1302 
1303 /*S
1304    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1305 
1306    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1307 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1308 
1309    Notes:
1310     These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1311 
1312       You can use MatFactorInfoInitialize() to set default values.
1313 
1314    Level: developer
1315 
1316 .seealso: `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`, `MatICCFactorSymbolic()`, `MatICCFactor()`,
1317           `MatFactorInfoInitialize()`
1318 
1319 S*/
1320 typedef struct {
1321   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1322   PetscReal     usedt;
1323   PetscReal     dt;             /* drop tolerance */
1324   PetscReal     dtcol;          /* tolerance for pivoting */
1325   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1326   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1327   PetscReal     levels;         /* ICC/ILU(levels) */
1328   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1329                                    factorization may be faster if do not pivot */
1330   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1331   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1332   PetscReal     shiftamount;     /* how large the shift is */
1333 } MatFactorInfo;
1334 
1335 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1336 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1337 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1338 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1339 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1340 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1341 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1342 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1343 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1344 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1345 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1346 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat,IS,const MatFactorInfo*);
1347 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1348 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat,Mat,const MatFactorInfo*);
1349 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1350 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1351 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1352 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1353 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1354 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1355 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1356 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1357 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1358 
1359 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1360 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1361 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1362 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1363 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1364 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1365 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1366 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1367 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1368 
1369 PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1370 /*E
1371     MatSORType - What type of (S)SOR to perform
1372 
1373     Level: beginner
1374 
1375    May be bitwise ORd together
1376 
1377    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1378 
1379    MatSORType may be bitwise ORd together, so do not change the numbers
1380 
1381 .seealso: `MatSOR()`
1382 E*/
1383 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1384               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1385               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1386               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1387 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1388 
1389 /*
1390     These routines are for efficiently computing Jacobians via finite differences.
1391 */
1392 
1393 /*S
1394      MatColoring - Object for managing the coloring of matrices.
1395 
1396    Level: beginner
1397 
1398     Notes:
1399        Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the MatColoring object or from the mesh from which the
1400        matrix comes from via DMCreateColoring(). In general using the mesh produces a more optimal coloring (fewer colors).
1401 
1402        Once a coloring is available MatFDColoringCreate() creates an object that can be used to efficiently compute Jacobians using that coloring. This
1403        same object can also be used to efficiently convert data created by Automatic Differentation tools to PETSc sparse matrices.
1404 
1405 .seealso: `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`, `MatOrdering`, `MatPartitioning`, `MatColoringType`
1406 S*/
1407 typedef struct _p_MatColoring* MatColoring;
1408 
1409 /*J
1410     MatColoringType - String with the name of a PETSc matrix coloring
1411 
1412    Level: beginner
1413 
1414 .seealso: `MatColoringSetType()`, `MatColoring`
1415 J*/
1416 typedef const  char*           MatColoringType;
1417 #define MATCOLORINGJP      "jp"
1418 #define MATCOLORINGPOWER   "power"
1419 #define MATCOLORINGNATURAL "natural"
1420 #define MATCOLORINGSL      "sl"
1421 #define MATCOLORINGLF      "lf"
1422 #define MATCOLORINGID      "id"
1423 #define MATCOLORINGGREEDY  "greedy"
1424 
1425 /*E
1426    MatColoringWeightType - Type of weight scheme
1427 
1428     Not Collective
1429 
1430 +   MAT_COLORING_RANDOM  - Random weights
1431 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1432 -   MAT_COLORING_LF      - Last-first weighting.
1433 
1434     Level: intermediate
1435 
1436    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1437 
1438 .seealso: `MatColoring`, `MatColoringCreate()`
1439 E*/
1440 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1441 
1442 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1443 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1444 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1445 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1446 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1447 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1448 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1449 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1450 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1451 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1452 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1453 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1454 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1455 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1456 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1457 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1458 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring,ISColoring);
1459 PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring,ISColoring iscoloring) {return MatColoringTest(matcoloring,iscoloring);}
1460 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat,ISColoring);
1461 
1462 /*S
1463      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1464         and coloring
1465 
1466    Level: beginner
1467 
1468    Notes:
1469       This object is creating utilizing a coloring provided by the MatColoring object or DMCreateColoring()
1470 
1471 .seealso: `MatFDColoringCreate()`, `MatColoring`, `DMCreateColoring()`
1472 S*/
1473 typedef struct _p_MatFDColoring* MatFDColoring;
1474 
1475 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1476 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1477 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1478 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1479 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1480 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1481 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1482 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1483 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1484 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1485 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1486 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1487 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat,MatFDColoring,const PetscScalar*);
1488 
1489 /*S
1490      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1491 
1492    Level: beginner
1493 
1494 .seealso: `MatTransposeColoringCreate()`
1495 S*/
1496 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1497 
1498 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1499 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1500 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1501 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1502 
1503 /*
1504     These routines are for partitioning matrices: currently used only
1505   for adjacency matrix, MatCreateMPIAdj().
1506 */
1507 
1508 /*S
1509      MatPartitioning - Object for managing the partitioning of a matrix or graph
1510 
1511    Level: beginner
1512 
1513    Notes:
1514      There is also a PetscPartitioner object that provides the same functionality. It can utilize the MatPartitioning operations
1515      via PetscPartitionerSetType(p,PETSCPARTITIONERMATPARTITIONING)
1516 
1517    Developers Note:
1518      It is an extra maintainance and documentation cost to have two objects with the same functionality.
1519 
1520 .seealso: `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`
1521 S*/
1522 typedef struct _p_MatPartitioning* MatPartitioning;
1523 
1524 /*J
1525     MatPartitioningType - String with the name of a PETSc matrix partitioning
1526 
1527    Level: beginner
1528 dm
1529 .seealso: `MatPartitioningCreate()`, `MatPartitioning`
1530 J*/
1531 typedef const char* MatPartitioningType;
1532 #define MATPARTITIONINGCURRENT  "current"
1533 #define MATPARTITIONINGAVERAGE   "average"
1534 #define MATPARTITIONINGSQUARE   "square"
1535 #define MATPARTITIONINGPARMETIS "parmetis"
1536 #define MATPARTITIONINGCHACO    "chaco"
1537 #define MATPARTITIONINGPARTY    "party"
1538 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1539 #define MATPARTITIONINGHIERARCH  "hierarch"
1540 
1541 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1542 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1543 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1544 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1545 PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning,PetscInt);
1546 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1547 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1548 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning,PetscBool);
1549 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning,PetscBool*);
1550 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1551 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning,IS*);
1552 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning,IS);
1553 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning,IS*);
1554 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1555 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1556 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1557 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning,PetscObject,const char[]);
1558 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1559 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1560 
1561 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1562 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1563 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1564 
1565 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1566 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1567 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1568 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1569 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1570 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1571 
1572 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1573 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1574 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1575 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1576 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1577 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1578 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1579 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1580 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1581 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1582 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1583 
1584 #define MP_PARTY_OPT "opt"
1585 #define MP_PARTY_LIN "lin"
1586 #define MP_PARTY_SCA "sca"
1587 #define MP_PARTY_RAN "ran"
1588 #define MP_PARTY_GBF "gbf"
1589 #define MP_PARTY_GCF "gcf"
1590 #define MP_PARTY_BUB "bub"
1591 #define MP_PARTY_DEF "def"
1592 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1593 #define MP_PARTY_HELPFUL_SETS "hs"
1594 #define MP_PARTY_KERNIGHAN_LIN "kl"
1595 #define MP_PARTY_NONE "no"
1596 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1597 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1598 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1599 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1600 
1601 typedef enum { MP_PTSCOTCH_DEFAULT,MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1602 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1603 
1604 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1605 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1606 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1607 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1608 
1609 /*
1610  * hierarchical partitioning
1611  */
1612 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1613 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1614 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1615 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1616 
1617 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1618 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1619 
1620 /*
1621     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1622     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1623 */
1624 typedef enum { MATOP_SET_VALUES=0,
1625                MATOP_GET_ROW=1,
1626                MATOP_RESTORE_ROW=2,
1627                MATOP_MULT=3,
1628                MATOP_MULT_ADD=4,
1629                MATOP_MULT_TRANSPOSE=5,
1630                MATOP_MULT_TRANSPOSE_ADD=6,
1631                MATOP_SOLVE=7,
1632                MATOP_SOLVE_ADD=8,
1633                MATOP_SOLVE_TRANSPOSE=9,
1634                MATOP_SOLVE_TRANSPOSE_ADD=10,
1635                MATOP_LUFACTOR=11,
1636                MATOP_CHOLESKYFACTOR=12,
1637                MATOP_SOR=13,
1638                MATOP_TRANSPOSE=14,
1639                MATOP_GETINFO=15,
1640                MATOP_EQUAL=16,
1641                MATOP_GET_DIAGONAL=17,
1642                MATOP_DIAGONAL_SCALE=18,
1643                MATOP_NORM=19,
1644                MATOP_ASSEMBLY_BEGIN=20,
1645                MATOP_ASSEMBLY_END=21,
1646                MATOP_SET_OPTION=22,
1647                MATOP_ZERO_ENTRIES=23,
1648                MATOP_ZERO_ROWS=24,
1649                MATOP_LUFACTOR_SYMBOLIC=25,
1650                MATOP_LUFACTOR_NUMERIC=26,
1651                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1652                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1653                MATOP_SETUP=29,
1654                MATOP_ILUFACTOR_SYMBOLIC=30,
1655                MATOP_ICCFACTOR_SYMBOLIC=31,
1656                MATOP_GET_DIAGONAL_BLOCK=32,
1657                MATOP_SET_INF=33,
1658                MATOP_DUPLICATE=34,
1659                MATOP_FORWARD_SOLVE=35,
1660                MATOP_BACKWARD_SOLVE=36,
1661                MATOP_ILUFACTOR=37,
1662                MATOP_ICCFACTOR=38,
1663                MATOP_AXPY=39,
1664                MATOP_CREATE_SUBMATRICES=40,
1665                MATOP_INCREASE_OVERLAP=41,
1666                MATOP_GET_VALUES=42,
1667                MATOP_COPY=43,
1668                MATOP_GET_ROW_MAX=44,
1669                MATOP_SCALE=45,
1670                MATOP_SHIFT=46,
1671                MATOP_DIAGONAL_SET=47,
1672                MATOP_ZERO_ROWS_COLUMNS=48,
1673                MATOP_SET_RANDOM=49,
1674                MATOP_GET_ROW_IJ=50,
1675                MATOP_RESTORE_ROW_IJ=51,
1676                MATOP_GET_COLUMN_IJ=52,
1677                MATOP_RESTORE_COLUMN_IJ=53,
1678                MATOP_FDCOLORING_CREATE=54,
1679                MATOP_COLORING_PATCH=55,
1680                MATOP_SET_UNFACTORED=56,
1681                MATOP_PERMUTE=57,
1682                MATOP_SET_VALUES_BLOCKED=58,
1683                MATOP_CREATE_SUBMATRIX=59,
1684                MATOP_DESTROY=60,
1685                MATOP_VIEW=61,
1686                MATOP_CONVERT_FROM=62,
1687                /* MATOP_PLACEHOLDER_63=63 */
1688                MATOP_MATMAT_MULT_SYMBOLIC=64,
1689                MATOP_MATMAT_MULT_NUMERIC=65,
1690                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1691                MATOP_SET_VALUES_LOCAL=67,
1692                MATOP_ZERO_ROWS_LOCAL=68,
1693                MATOP_GET_ROW_MAX_ABS=69,
1694                MATOP_GET_ROW_MIN_ABS=70,
1695                MATOP_CONVERT=71,
1696                MATOP_HAS_OPERATION=72,
1697                /* MATOP_PLACEHOLDER_73=73, */
1698                MATOP_SET_VALUES_ADIFOR=74,
1699                MATOP_FD_COLORING_APPLY=75,
1700                MATOP_SET_FROM_OPTIONS=76,
1701                /* MATOP_PLACEHOLDER_77=77, */
1702                /* MATOP_PLACEHOLDER_78=78, */
1703                MATOP_FIND_ZERO_DIAGONALS=79,
1704                MATOP_MULT_MULTIPLE=80,
1705                MATOP_SOLVE_MULTIPLE=81,
1706                MATOP_GET_INERTIA=82,
1707                MATOP_LOAD=83,
1708                MATOP_IS_SYMMETRIC=84,
1709                MATOP_IS_HERMITIAN=85,
1710                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1711                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1712                MATOP_CREATE_VECS=88,
1713                /* MATOP_PLACEHOLDER_89=89, */
1714                MATOP_MAT_MULT_SYMBOLIC=90,
1715                MATOP_MAT_MULT_NUMERIC=91,
1716                /* MATOP_PLACEHOLDER_92=92, */
1717                MATOP_PTAP_SYMBOLIC=93,
1718                MATOP_PTAP_NUMERIC=94,
1719                /* MATOP_PLACEHOLDER_95=95, */
1720                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1721                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1722                MATOP_BIND_TO_CPU=98,
1723                MATOP_PRODUCTSETFROMOPTIONS=99,
1724                MATOP_PRODUCTSYMBOLIC=100,
1725                MATOP_PRODUCTNUMERIC=101,
1726                MATOP_CONJUGATE=102,
1727                MATOP_VIEW_NATIVE=103,
1728                MATOP_SET_VALUES_ROW=104,
1729                MATOP_REAL_PART=105,
1730                MATOP_IMAGINARY_PART=106,
1731                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1732                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1733                MATOP_MAT_SOLVE=109,
1734                MATOP_MAT_SOLVE_TRANSPOSE=110,
1735                MATOP_GET_ROW_MIN=111,
1736                MATOP_GET_COLUMN_VECTOR=112,
1737                MATOP_MISSING_DIAGONAL=113,
1738                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1739                MATOP_CREATE=115,
1740                MATOP_GET_GHOSTS=116,
1741                MATOP_GET_LOCAL_SUB_MATRIX=117,
1742                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1743                MATOP_MULT_DIAGONAL_BLOCK=119,
1744                MATOP_HERMITIAN_TRANSPOSE=120,
1745                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1746                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1747                MATOP_GET_MULTI_PROC_BLOCK=123,
1748                MATOP_FIND_NONZERO_ROWS=124,
1749                MATOP_GET_COLUMN_NORMS=125,
1750                MATOP_INVERT_BLOCK_DIAGONAL=126,
1751                MATOP_INVERT_VBLOCK_DIAGONAL=127,
1752                MATOP_CREATE_SUB_MATRICES_MPI=128,
1753                MATOP_SET_VALUES_BATCH=129,
1754                /* MATOP_PLACEHOLDER_130=130, */
1755                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1756                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1757                MATOP_TRANSPOSE_COLORING_CREAT=133,
1758                MATOP_TRANS_COLORING_APPLY_SPT=134,
1759                MATOP_TRANS_COLORING_APPLY_DEN=135,
1760                /* MATOP_PLACEHOLDER_136=136, */
1761                MATOP_RART_SYMBOLIC=137,
1762                MATOP_RART_NUMERIC=138,
1763                MATOP_SET_BLOCK_SIZES=139,
1764                MATOP_AYPX=140,
1765                MATOP_RESIDUAL=141,
1766                MATOP_FDCOLORING_SETUP=142,
1767                MATOP_FIND_OFFBLOCK_ENTRIES=143,
1768                MATOP_MPICONCATENATESEQ=144,
1769                MATOP_DESTROYSUBMATRICES=145,
1770                MATOP_TRANSPOSE_SOLVE=146,
1771                MATOP_GET_VALUES_LOCAL=147
1772              } MatOperation;
1773 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat,MatOperation,void(*)(void));
1774 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat,MatOperation,void(**)(void));
1775 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool*);
1776 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat,PetscBool*);
1777 PETSC_DEPRECATED_FUNCTION("Use MatProductClear() (since version 3.14)") static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A) {return MatProductClear(A);}
1778 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1779 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1780 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1781 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat,VecType);
1782 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1783 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1784 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1785 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat,MatProductType,PetscErrorCode (*)(Mat,Mat,Mat,void**),PetscErrorCode (*)(Mat,Mat,Mat,void*),PetscErrorCode (*)(void*),MatType,MatType);
1786 PETSC_EXTERN PetscErrorCode MatIsShell(Mat,PetscBool*);
1787 
1788 /*
1789    Codes for matrices stored on disk. By default they are
1790    stored in a universal format. By changing the format with
1791    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1792    be stored in a way natural for the matrix, for example dense matrices
1793    would be stored as dense. Matrices stored this way may only be
1794    read into matrices of the same type.
1795 */
1796 #define MATRIX_BINARY_FORMAT_DENSE -1
1797 
1798 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1799 
1800 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat,MatType);
1801 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1802 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat,PetscBool);
1803 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat,PetscBool);
1804 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1805 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1806 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1807 PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
1808 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1809 
1810 /*S
1811      MatNullSpace - Object that removes a null space from a vector, i.e.
1812          orthogonalizes the vector to a subspace
1813 
1814    Level: advanced
1815 
1816 .seealso: `MatNullSpaceCreate()`
1817 S*/
1818 typedef struct _p_MatNullSpace* MatNullSpace;
1819 
1820 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1821 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1822 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1823 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1824 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1825 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1826 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1827 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1828 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1829 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1830 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1831 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1832 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1833 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1834 
1835 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1836 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1837 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1838 
1839 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1840 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1841 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1842 
1843 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat,MatType,Mat*);
1844 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat,MatType,Mat*);
1845 
1846 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperator(Mat A,Mat* B) { return MatComputeOperator(A,NULL,B); }
1847 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A,Mat* B) { return MatComputeOperatorTranspose(A,NULL,B); }
1848 
1849 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat,PetscInt,PetscInt,const PetscScalar[],const PetscScalar[],Mat*);
1850 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat,Mat*);
1851 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat,PetscInt*,PetscInt*,PetscScalar**);
1852 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1853 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat,PetscScalar**);
1854 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat,const PetscScalar**);
1855 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat,PetscInt*,PetscInt*,PetscScalar**);
1856 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1857 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat,PetscScalar**);
1858 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat,const PetscScalar**);
1859 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat,Mat);
1860 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat,PetscInt,PetscInt,const PetscScalar[]);
1861 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat,PetscInt,PetscInt,const PetscScalar[]);
1862 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat,PetscBool*);
1863 
1864 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1865 
1866 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1867 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1868 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1869 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1870 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1871 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1872 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1873 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1874 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1875 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1876 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1877 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1878 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1879 
1880 /*S
1881     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1882               Jacobian vector products
1883 
1884     Notes:
1885     MATMFFD is a specific MatType which uses the MatMFFD data structure
1886 
1887            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1888 
1889     Level: developer
1890 
1891 .seealso: `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`
1892 S*/
1893 typedef struct _p_MatMFFD* MatMFFD;
1894 
1895 /*J
1896     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1897 
1898    Level: beginner
1899 
1900 .seealso: `MatMFFDSetType()`, `MatMFFDRegister()`
1901 J*/
1902 typedef const char* MatMFFDType;
1903 #define MATMFFD_DS  "ds"
1904 #define MATMFFD_WP  "wp"
1905 
1906 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1907 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1908 
1909 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1910 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool);
1911 
1912 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1913 
1914 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1915 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1916 
1917 #ifdef PETSC_HAVE_H2OPUS
1918 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatH2OpusKernel)(PetscInt,PetscReal[],PetscReal[],void*);
1919 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscReal[],PetscBool,MatH2OpusKernel,void*,PetscReal,PetscInt,PetscInt,Mat*);
1920 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat,PetscInt,const PetscReal[],PetscBool,PetscReal,PetscInt,PetscInt,PetscInt,PetscReal,Mat*);
1921 PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat,Mat,PetscInt,PetscReal);
1922 PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
1923 PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat,PetscReal);
1924 PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat,PetscBool);
1925 PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat,PetscBool*);
1926 PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat,IS*);
1927 PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat,PetscBool,Vec,Vec*);
1928 PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat,Mat,Mat,PetscScalar);
1929 #endif
1930 
1931 #ifdef PETSC_HAVE_HTOOL
1932 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatHtoolKernel)(PetscInt,PetscInt,PetscInt,const PetscInt*,const PetscInt*,PetscScalar*,void*);
1933 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscReal[],const PetscReal[],MatHtoolKernel,void*,Mat*);
1934 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat,MatHtoolKernel,void*);
1935 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat,IS*);
1936 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat,IS*);
1937 PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat,PetscBool);
1938 /*E
1939      MatHtoolCompressorType - Indicates the type of compressor used by a MATHTOOL
1940 
1941    Level: beginner
1942 
1943     Values:
1944 +   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA (default) - symmetric partial adaptive cross approximation
1945 .   MAT_HTOOL_COMPRESSOR_FULL_ACA - full adaptive cross approximation
1946 -   MAT_HTOOL_COMPRESSOR_SVD - singular value decomposition
1947 
1948 .seealso: `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
1949 E*/
1950 typedef enum { MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA, MAT_HTOOL_COMPRESSOR_FULL_ACA, MAT_HTOOL_COMPRESSOR_SVD } MatHtoolCompressorType;
1951 /*E
1952      MatHtoolClusteringType - Indicates the type of clustering used by a MATHTOOL
1953 
1954    Level: beginner
1955 
1956     Values:
1957 +   MAT_HTOOL_CLUSTERING_PCA_REGULAR (default) - axis computed via principle component analysis, split uniformly
1958 .   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC - axis computed via principle component analysis, split barycentrically
1959 .   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR - axis along the largest extent of the bounding box, split uniformly
1960 -   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC - axis along the largest extent of the bounding box, split barycentrically
1961 
1962     Notes: higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
1963 
1964 .seealso: `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
1965 E*/
1966 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;
1967 #endif
1968 
1969 /*
1970    PETSc interface to MUMPS
1971 */
1972 #ifdef PETSC_HAVE_MUMPS
1973 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1974 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1975 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1976 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1977 
1978 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1979 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1980 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1981 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1982 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat,Mat);
1983 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat,Mat);
1984 #endif
1985 
1986 /*
1987    PETSc interface to Mkl_Pardiso
1988 */
1989 #ifdef PETSC_HAVE_MKL_PARDISO
1990 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1991 #endif
1992 
1993 /*
1994    PETSc interface to Mkl_CPardiso
1995 */
1996 #ifdef PETSC_HAVE_MKL_CPARDISO
1997 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1998 #endif
1999 
2000 /*
2001    PETSc interface to SUPERLU
2002 */
2003 #ifdef PETSC_HAVE_SUPERLU
2004 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
2005 #endif
2006 
2007 /*
2008    PETSc interface to SUPERLU_DIST
2009 */
2010 #ifdef PETSC_HAVE_SUPERLU_DIST
2011 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
2012 #endif
2013 
2014 /*
2015    PETSc interface to STRUMPACK
2016 */
2017 #ifdef PETSC_HAVE_STRUMPACK
2018 /*E
2019     MatSTRUMPACKReordering - sparsity reducing ordering to be used in STRUMPACK
2020 
2021     Level: intermediate
2022 E*/
2023 typedef enum {MAT_STRUMPACK_NATURAL=0,
2024               MAT_STRUMPACK_METIS=1,
2025               MAT_STRUMPACK_PARMETIS=2,
2026               MAT_STRUMPACK_SCOTCH=3,
2027               MAT_STRUMPACK_PTSCOTCH=4,
2028               MAT_STRUMPACK_RCM=5} MatSTRUMPACKReordering;
2029 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat,MatSTRUMPACKReordering);
2030 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
2031 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat,PetscReal);
2032 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat,PetscReal rtol) {return MatSTRUMPACKSetHSSRelTol(mat,rtol);}
2033 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat,PetscReal);
2034 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat,PetscInt);
2035 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat,PetscInt hssminsize) {return MatSTRUMPACKSetHSSMinSepSize(mat,hssminsize);}
2036 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat,PetscInt);
2037 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat,PetscInt);
2038 #endif
2039 
2040 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat,PetscBool);
2041 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat,PetscBool*);
2042 PETSC_DEPRECATED_FUNCTION("Use MatBindToCPU (since v3.13)") static inline PetscErrorCode MatPinToCPU(Mat A,PetscBool flg) {return MatBindToCPU(A,flg);}
2043 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat,PetscBool);
2044 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat,PetscBool *);
2045 
2046 typedef struct _n_SplitCSRMat *PetscSplitCSRDataStructure;
2047 PETSC_EXTERN PetscErrorCode MatCUSPARSEGetDeviceMatWrite(Mat,PetscSplitCSRDataStructure*);
2048 
2049 #ifdef PETSC_HAVE_KOKKOS_KERNELS
2050 PETSC_EXTERN PetscErrorCode MatKokkosGetDeviceMatWrite(Mat,PetscSplitCSRDataStructure*);
2051 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosSetDeviceMat(Mat,PetscSplitCSRDataStructure);
2052 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosGetDeviceMat(Mat,PetscSplitCSRDataStructure*);
2053 #endif
2054 
2055 #ifdef PETSC_HAVE_CUDA
2056 /*E
2057     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
2058     matrices.
2059 
2060     Not Collective
2061 
2062 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
2063 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
2064 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2065 
2066     Level: intermediate
2067 
2068    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
2069 
2070 .seealso: `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2071 E*/
2072 
2073 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
2074 
2075 /* these will be strings associated with enumerated type defined above */
2076 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2077 
2078 /*E
2079     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
2080     matrices whose operation should use a particular storage format.
2081 
2082     Not Collective
2083 
2084 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
2085 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
2086 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
2087 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
2088 
2089     Level: intermediate
2090 
2091 .seealso: `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2092 E*/
2093 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
2094 
2095 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
2096 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
2097 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
2098 PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat,PetscBool);
2099 typedef struct Mat_SeqAIJCUSPARSETriFactors* Mat_SeqAIJCUSPARSETriFactors_p;
2100 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat,PetscBool,const int**,const int**);
2101 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat,PetscBool,const int**,const int**);
2102 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat,const PetscScalar**);
2103 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat,const PetscScalar**);
2104 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat,PetscScalar**);
2105 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat,PetscScalar**);
2106 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat,PetscScalar**);
2107 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat,PetscScalar**);
2108 
2109 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
2110 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
2111 PETSC_EXTERN PetscErrorCode MatMPIDenseCUDASetPreallocation(Mat,PetscScalar[]);
2112 PETSC_EXTERN PetscErrorCode MatSeqDenseCUDASetPreallocation(Mat,PetscScalar[]);
2113 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat,PetscScalar**);
2114 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat,const PetscScalar**);
2115 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat,PetscScalar**);
2116 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat,PetscScalar**);
2117 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat,const PetscScalar**);
2118 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat,PetscScalar**);
2119 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat,const PetscScalar*);
2120 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat,const PetscScalar*);
2121 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2122 
2123 #endif
2124 
2125 #if defined(PETSC_HAVE_VIENNACL)
2126 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
2127 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
2128 #endif
2129 
2130 /*
2131    PETSc interface to FFTW
2132 */
2133 #if defined(PETSC_HAVE_FFTW)
2134 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
2135 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
2136 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
2137 #endif
2138 
2139 #if defined(PETSC_HAVE_SCALAPACK)
2140 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
2141 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat,PetscInt,PetscInt);
2142 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat,PetscInt*,PetscInt*);
2143 #endif
2144 
2145 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
2146 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
2147 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
2148 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
2149 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
2150 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
2151 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
2152 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
2153 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
2154 
2155 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
2156 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
2157 
2158 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
2159 
2160 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
2161 
2162 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
2163 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
2164 
2165 PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat,const PetscInt**,const PetscInt**,PetscScalar**,PetscMemType*);
2166 
2167 PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat,PetscBool,PetscBool,Mat*);
2168 PETSC_EXTERN PetscErrorCode MatFilter(Mat,PetscReal,Mat*);
2169 
2170 #endif
2171