xref: /petsc/include/petscmat.h (revision ebead697dbf761eb322f829370bbe90b3bd93fa3)
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 PETSC_EXTERN PetscErrorCode MatPythonGetType(Mat,const char*[]);
404 
405 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
406 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
407 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
408 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
409 
410 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
411 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
412 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
413 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
414 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
415 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
416 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat,PetscInt,const PetscInt*,PetscScalar*);
417 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat,Mat);
418 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat,MatReuse,Mat*);
419 
420 /* ------------------------------------------------------------*/
421 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
422 PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat,IS,IS,const PetscScalar[],InsertMode);
423 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
424 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
425 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
426 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
427 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
428 
429 /*S
430      MatStencil - Data structure (C struct) for storing information about a single row or
431         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
432 
433    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).
434    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.
435 
436    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
437 
438    Fortran usage is different, see MatSetValuesStencil() for details.
439 
440    Level: beginner
441 
442 .seealso: `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`
443 S*/
444 typedef struct {
445   PetscInt k,j,i,c;
446 } MatStencil;
447 
448 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
449 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
450 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
451 
452 /*E
453     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
454      to continue to add or insert values to it
455 
456     Level: beginner
457 
458 .seealso: `MatAssemblyBegin()`, `MatAssemblyEnd()`
459 E*/
460 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
461 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
462 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
463 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
464 
465 /*E
466     MatOption - Options that may be set for a matrix and its behavior or storage
467 
468     Level: beginner
469 
470    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
471    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
472 
473    Developer Notes:
474     Entries that are negative need not be called collectively by all processes.
475 
476 .seealso: `MatSetOption()`
477 E*/
478 typedef enum {MAT_OPTION_MIN = -3,
479               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
480               MAT_ROW_ORIENTED = -1,
481               MAT_SYMMETRIC = 1,
482               MAT_STRUCTURALLY_SYMMETRIC = 2,
483               MAT_FORCE_DIAGONAL_ENTRIES = 3,
484               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
485               MAT_USE_HASH_TABLE = 5,
486               MAT_KEEP_NONZERO_PATTERN = 6,
487               MAT_IGNORE_ZERO_ENTRIES = 7,
488               MAT_USE_INODES = 8,
489               MAT_HERMITIAN = 9,
490               MAT_SYMMETRY_ETERNAL = 10,
491               MAT_NEW_NONZERO_LOCATION_ERR = 11,
492               MAT_IGNORE_LOWER_TRIANGULAR = 12,
493               MAT_ERROR_LOWER_TRIANGULAR = 13,
494               MAT_GETROW_UPPERTRIANGULAR = 14,
495               MAT_SPD = 15,
496               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
497               MAT_NO_OFF_PROC_ENTRIES = 17,
498               MAT_NEW_NONZERO_LOCATIONS = 18,
499               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
500               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
501               MAT_SUBMAT_SINGLEIS = 21,
502               MAT_STRUCTURE_ONLY = 22,
503               MAT_SORTED_FULL = 23,
504               MAT_FORM_EXPLICIT_TRANSPOSE = 24,
505               MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
506               MAT_SPD_ETERNAL = 26,
507               MAT_OPTION_MAX = 27} MatOption;
508 
509 PETSC_EXTERN const char *const *MatOptions;
510 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
511 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
512 PETSC_EXTERN PetscErrorCode MatPropagateSymmetryOptions(Mat,Mat);
513 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
514 
515 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
516 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
517 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
518 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
519 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
520 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
521 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
522 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArrayRead(Mat,const PetscScalar *[]);
523 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArrayWrite(Mat,PetscScalar *[]);
524 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
525 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArrayRead(Mat,const PetscScalar *[]);
526 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArrayWrite(Mat,PetscScalar *[]);
527 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
528 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
529 PETSC_EXTERN PetscErrorCode MatSeqAIJSetType(Mat,MatType);
530 PETSC_EXTERN PetscErrorCode MatSeqAIJKron(Mat,Mat,MatReuse,Mat*);
531 PETSC_EXTERN PetscErrorCode MatSeqAIJRegister(const char[],PetscErrorCode (*)(Mat,MatType,MatReuse,Mat *));
532 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
533 PETSC_EXTERN PetscErrorCode MatSeqBAIJGetArray(Mat,PetscScalar *[]);
534 PETSC_EXTERN PetscErrorCode MatSeqBAIJRestoreArray(Mat,PetscScalar *[]);
535 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
536 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
537 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
538 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
539 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
540 PETSC_EXTERN PetscErrorCode MatDenseReplaceArray(Mat,const PetscScalar[]);
541 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
542 PETSC_EXTERN PetscErrorCode MatDenseGetArrayRead(Mat,const PetscScalar *[]);
543 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayRead(Mat,const PetscScalar *[]);
544 PETSC_EXTERN PetscErrorCode MatDenseGetArrayWrite(Mat,PetscScalar *[]);
545 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayWrite(Mat,PetscScalar *[]);
546 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
547 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
548 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
549 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
550 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
551 PETSC_EXTERN PetscErrorCode MatSetVariableBlockSizes(Mat,PetscInt,PetscInt*);
552 PETSC_EXTERN PetscErrorCode MatGetVariableBlockSizes(Mat,PetscInt*,const PetscInt**);
553 
554 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat,PetscInt,PetscScalar*[]);
555 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat,PetscScalar*[]);
556 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat,PetscInt,Vec*);
557 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat,PetscInt,Vec*);
558 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat,PetscInt,Vec*);
559 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat,PetscInt,Vec*);
560 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat,PetscInt,Vec*);
561 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat,PetscInt,Vec*);
562 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
563 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat,Mat*);
564 
565 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
566 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
567 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
568 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
569 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
570 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
571 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
572 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
573 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
574 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
575 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
576 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat,Mat,Mat);
577 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
578 
579 /*E
580     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
581   its numerical values copied over or just its nonzero structure.
582 
583     Level: beginner
584 
585    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
586 
587 $   MAT_DO_NOT_COPY_VALUES    - Create a matrix using the same nonzero pattern as the original matrix,
588 $                               with zeros for the numerical values.
589 $   MAT_COPY_VALUES           - Create a matrix with the same nonzero pattern as the original matrix
590 $                               and with the same numerical values.
591 $   MAT_SHARE_NONZERO_PATTERN - Create a matrix that shares the nonzero structure with the previous matrix
592 $                               and does not copy it, using zeros for the numerical values. The parent and
593 $                               child matrices will share their index (i and j) arrays, and you cannot
594 $                               insert new nonzero entries into either matrix.
595 
596 Notes:
597     Many matrix types (including SeqAIJ) do not support the MAT_SHARE_NONZERO_PATTERN optimization; in
598 this case the behavior is as if MAT_DO_NOT_COPY_VALUES has been specified.
599 
600 .seealso: `MatDuplicate()`
601 E*/
602 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
603 
604 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
605 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
606 
607 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
608 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
609 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
610 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
611 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
612 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
613 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
614 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat,PetscBool *,PetscBool*);
615 PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat,PetscBool*,PetscBool*);
616 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
617 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
618 
619 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
620 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
621 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
622 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
623 
624 /*S
625      MatInfo - Context of matrix information, used with MatGetInfo()
626 
627    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
628 
629    Level: intermediate
630 
631 .seealso: `MatGetInfo()`, `MatInfoType`
632 S*/
633 typedef struct {
634   PetscLogDouble block_size;                         /* block size */
635   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
636   PetscLogDouble memory;                             /* memory allocated */
637   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
638   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
639   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
640   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
641 } MatInfo;
642 
643 /*E
644     MatInfoType - Indicates if you want information about the local part of the matrix,
645      the entire parallel matrix or the maximum over all the local parts.
646 
647     Level: beginner
648 
649    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
650 
651 .seealso: `MatGetInfo()`, `MatInfo`
652 E*/
653 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
654 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
655 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
656 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
657 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
658 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
659 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
660 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
661 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
662 PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat,Mat*);
663 PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat,Mat);
664 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
665 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
666 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
667 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
668 
669 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
670 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
671 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
672 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
673 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
674 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
675 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
676 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
677 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
678 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
679 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
680 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
681 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat,PetscInt,PetscBool*);
682 
683 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
684 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
685 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat,PetscScalar*);
686 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat,PetscReal*);
687 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat,PetscReal*);
688 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat,PetscScalar*);
689 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat,PetscReal*);
690 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat,PetscReal*);
691 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat,PetscInt,PetscReal*);
692 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
693 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
694 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
695 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
696 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
697 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
698 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
699 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
700 
701 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
702 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
703 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
704 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
705 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
706 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
707 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
708 
709 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
710 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);}
711 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
712 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);}
713 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
714 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
715 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
716 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);}
717 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
718 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
719 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
720 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
721 
722 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
723 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
724 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
725 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
726 PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat,Mat*);
727 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
728 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat,MatReuse,IS*,Mat*);
729 PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat,PetscCount*);
730 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
731 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
732 
733 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
734 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
735 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
736 
737 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
738 
739 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
740 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
741 
742 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
743 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
744 
745 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
746 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
747 
748 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
749 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
750 
751 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
752 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
753 
754 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
755 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
756 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
757 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat,PetscLayout,PetscLayout);
758 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
759 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
760 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
761 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
762 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
763 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
764 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
765 
766 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
767 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
768 
769 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
770 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
771 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
772 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat,Mat,Mat*);
773 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat,Mat,Mat,Mat*);
774 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat,Mat,Mat*);
775 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
776 PETSC_DEPRECATED_FUNCTION("Use MatCreateVecs() (since version 3.6)") static inline PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
777 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
778 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
779 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
780 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
781 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
782 
783 /*MC
784    MatSetValue - Set a single entry into a matrix.
785 
786    Not collective
787 
788    Synopsis:
789      #include <petscmat.h>
790      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
791 
792    Input Parameters:
793 +  m - the matrix
794 .  row - the row location of the entry
795 .  col - the column location of the entry
796 .  value - the value to insert
797 -  mode - either INSERT_VALUES or ADD_VALUES
798 
799    Notes:
800    For efficiency one should use MatSetValues() and set several values simultaneously.
801 
802    Level: beginner
803 
804 .seealso: `MatGetValue()`, `MatSetValues()`, `MatSetValueLocal()`, `MatSetValuesLocal()`
805 M*/
806 static inline PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
807 
808 /*@C
809    MatGetValue - Gets a single value from a matrix
810 
811    Not Collective; can only return a value owned by the given process
812 
813    Input Parameters:
814 +  mat - the matrix
815 .  row - the row location of the entry
816 -  col - the column location of the entry
817 
818    Output Parameter:
819 .  va - the value
820 
821    Notes:
822    For efficiency one should use MatGetValues() and get several values simultaneously.
823 
824    See notes for MatGetValues().
825 
826    Level: advanced
827 
828 .seealso: `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
829 @*/
830 static inline PetscErrorCode MatGetValue(Mat mat,PetscInt row,PetscInt col,PetscScalar *va) {return MatGetValues(mat,1,&row,1,&col,va);}
831 
832 /*MC
833    MatSetValueLocal - Inserts or adds a single value into a matrix,
834    using a local numbering of the nodes.
835 
836    Not Collective
837 
838    Input Parameters:
839 +  m - the matrix
840 .  row - the row location of the entry
841 .  col - the column location of the entry
842 .  value - the value to insert
843 -  mode - either INSERT_VALUES or ADD_VALUES
844 
845    Notes:
846    For efficiency one should use MatSetValuesLocal() and set several values simultaneously.
847 
848    See notes for MatSetValuesLocal() for additional information on when and how this function can be used.
849 
850    Level: intermediate
851 
852 .seealso: `MatSetValue()`, `MatSetValuesLocal()`
853 M*/
854 static inline PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
855 
856 /*MC
857    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
858        row in a matrix providing the data that one can use to correctly preallocate the matrix.
859 
860    Synopsis:
861    #include <petscmat.h>
862    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
863 
864    Collective
865 
866    Input Parameters:
867 +  comm - the communicator that will share the eventually allocated matrix
868 .  nrows - the number of LOCAL rows in the matrix
869 -  ncols - the number of LOCAL columns in the matrix
870 
871    Output Parameters:
872 +  dnz - the array that will be passed to the matrix preallocation routines
873 -  onz - the other array passed to the matrix preallocation routines
874 
875    Level: intermediate
876 
877    Notes:
878     This is a macro that handles its own error checking, it does not return an error code.
879 
880     See Users-Manual: ch_performance for more details.
881 
882     Do not malloc or free dnz and onz, that is handled internally by these routines
883 
884    Developer Notes:
885     This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
886 
887 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
888           `MatPreallocateSymmetricSetLocalBlock()`
889 M*/
890 #define MatPreallocateBegin(comm,nrows,ncols,dnz,onz)  do {                             \
891   PetscInt __nrows = (nrows),__ncols = (ncols),__rstart,__start,__end = 0;                     \
892   PetscCall(PetscCalloc2(__nrows,&(dnz),__nrows,&(onz)));                                        \
893   PetscCallMPI(MPI_Scan(&__ncols,&__end,1,MPIU_INT,MPI_SUM,comm));                                \
894   __start = __end - __ncols; (void)__start;                                                    \
895   PetscCallMPI(MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm));                             \
896   __rstart -= __nrows
897 
898 #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateBegin() (since version 3.18)\"") MatPreallocateBegin(__VA_ARGS__)
899 
900 /*MC
901    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
902        inserted using a local number of the rows and columns
903 
904    Synopsis:
905    #include <petscmat.h>
906    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
907 
908    Not Collective
909 
910    Input Parameters:
911 +  map - the row mapping from local numbering to global numbering
912 .  nrows - the number of rows indicated
913 .  rows - the indices of the rows
914 .  cmap - the column mapping from local to global numbering
915 .  ncols - the number of columns in the matrix
916 .  cols - the columns indicated
917 .  dnz - the array that will be passed to the matrix preallocation routines
918 -  onz - the other array passed to the matrix preallocation routines
919 
920    Level: intermediate
921 
922    Notes:
923     See Users-Manual: ch_performance for more details.
924 
925    Do not malloc or free dnz and onz, that is handled internally by these routines
926 
927 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
928           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
929 M*/
930 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz)                        \
931   PetscMacroReturnStandard(                                                                    \
932     PetscCall(ISLocalToGlobalMappingApply(rmap,nrows,rows,rows));                                \
933     PetscCall(ISLocalToGlobalMappingApply(cmap,ncols,cols,cols));                                \
934     for (PetscInt __l=0;__l<nrows;__l++) PetscCall(MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz)); \
935   )
936 
937 /*MC
938    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
939        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
940 
941    Synopsis:
942    #include <petscmat.h>
943    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
944 
945    Not Collective
946 
947    Input Parameters:
948 +  map - the row mapping from local numbering to global numbering
949 .  nrows - the number of rows indicated
950 .  rows - the indices of the rows (these values are mapped to the global values)
951 .  cmap - the column mapping from local to global numbering
952 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
953 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
954 .  dnz - the array that will be passed to the matrix preallocation routines
955 -  onz - the other array passed to the matrix preallocation routines
956 
957    Level: intermediate
958 
959    Notes:
960     See Users-Manual: ch_performance for more details.
961 
962    Do not malloc or free dnz and onz, that is handled internally by these routines
963 
964 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
965           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
966 M*/
967 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz)              \
968   PetscMacroReturnStandard(                                                                    \
969     PetscCall(ISLocalToGlobalMappingApply(rmap,nrows,rows,rows));                                \
970     PetscCall(ISLocalToGlobalMappingApply(cmap,ncols,cols,cols));                                \
971     PetscCall(PetscSortRemoveDupsInt(&ncols,cols));                                              \
972     for (PetscInt __l=0;__l<nrows;__l++) PetscCall(MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz)); \
973   )
974 
975 /*MC
976    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
977        inserted using a local number of the rows and columns
978 
979    Synopsis:
980    #include <petscmat.h>
981    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
982 
983    Not Collective
984 
985    Input Parameters:
986 +  map - the row mapping from local numbering to global numbering
987 .  nrows - the number of rows indicated
988 .  rows - the indices of the rows
989 .  cmap - the column mapping from local to global numbering
990 .  ncols - the number of columns in the matrix
991 .  cols - the columns indicated
992 .  dnz - the array that will be passed to the matrix preallocation routines
993 -  onz - the other array passed to the matrix preallocation routines
994 
995    Level: intermediate
996 
997    Notes:
998     See Users-Manual: ch_performance for more details.
999 
1000    Do not malloc or free dnz and onz, that is handled internally by these routines
1001 
1002 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1003           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1004 M*/
1005 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz)                   \
1006   PetscMacroReturnStandard(                                                                    \
1007     PetscCall(ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows));                           \
1008     PetscCall(ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols));                           \
1009     for (PetscInt __l=0;__l<nrows;__l++) PetscCall(MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz)); \
1010   )
1011 
1012 /*MC
1013    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1014        inserted using a local number of the rows and columns
1015 
1016    Synopsis:
1017    #include <petscmat.h>
1018    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1019 
1020    Not Collective
1021 
1022    Input Parameters:
1023 +  map - the mapping between local numbering and global numbering
1024 .  nrows - the number of rows indicated
1025 .  rows - the indices of the rows
1026 .  ncols - the number of columns in the matrix
1027 .  cols - the columns indicated
1028 .  dnz - the array that will be passed to the matrix preallocation routines
1029 -  onz - the other array passed to the matrix preallocation routines
1030 
1031    Level: intermediate
1032 
1033    Notes:
1034     See Users-Manual: ch_performance for more details.
1035 
1036    Do not malloc or free dnz and onz that is handled internally by these routines
1037 
1038 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`
1039           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1040 M*/
1041 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz)                \
1042   PetscMacroReturnStandard(                                                                    \
1043     PetscCall(ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows));                            \
1044     PetscCall(ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols));                            \
1045     for (PetscInt __l=0;__l<nrows;__l++) PetscCall(MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz)); \
1046   )
1047 
1048 /*MC
1049    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1050        inserted using a local number of the rows and columns
1051 
1052    Synopsis:
1053    #include <petscmat.h>
1054    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1055 
1056    Not Collective
1057 
1058    Input Parameters:
1059 +  row - the row
1060 .  ncols - the number of columns in the matrix
1061 -  cols - the columns indicated
1062 
1063    Output Parameters:
1064 +  dnz - the array that will be passed to the matrix preallocation routines
1065 -  onz - the other array passed to the matrix preallocation routines
1066 
1067    Level: intermediate
1068 
1069    Notes:
1070     See Users-Manual: ch_performance for more details.
1071 
1072    Do not malloc or free dnz and onz that is handled internally by these routines
1073 
1074    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1075 
1076 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1077           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1078 M*/
1079 #define MatPreallocateSet(row,nc,cols,dnz,onz) PetscMacroReturnStandard(                       \
1080     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); \
1081     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); \
1082     for (PetscInt __i = 0; __i < nc; ++__i) {                                                  \
1083       if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++;                \
1084       else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;                           \
1085     }                                                                                          \
1086   )
1087 
1088 /*MC
1089    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1090        inserted using a local number of the rows and columns
1091 
1092    Synopsis:
1093    #include <petscmat.h>
1094    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1095 
1096    Not Collective
1097 
1098    Input Parameters:
1099 +  nrows - the number of rows indicated
1100 .  rows - the indices of the rows
1101 .  ncols - the number of columns in the matrix
1102 .  cols - the columns indicated
1103 .  dnz - the array that will be passed to the matrix preallocation routines
1104 -  onz - the other array passed to the matrix preallocation routines
1105 
1106    Level: intermediate
1107 
1108    Notes:
1109     See Users-Manual: ch_performance for more details.
1110 
1111    Do not malloc or free dnz and onz that is handled internally by these routines
1112 
1113    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1114 
1115 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1116           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1117 M*/
1118 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz)                                   \
1119   PetscMacroReturnStandard(                                                                    \
1120     for (PetscInt __i=0; __i<nc; __i++) {                                                      \
1121       if (cols[__i] >= __end) onz[row - __rstart]++;                                           \
1122       else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;       \
1123     }                                                                                          \
1124   )
1125 
1126 /*MC
1127    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1128 
1129    Synopsis:
1130    #include <petscmat.h>
1131    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1132 
1133    Not Collective
1134 
1135    Input Parameters:
1136 +  A - matrix
1137 .  row - row where values exist (must be local to this process)
1138 .  ncols - number of columns
1139 .  cols - columns with nonzeros
1140 .  dnz - the array that will be passed to the matrix preallocation routines
1141 -  onz - the other array passed to the matrix preallocation routines
1142 
1143    Level: intermediate
1144 
1145    Notes:
1146     See Users-Manual: ch_performance for more details.
1147 
1148    Do not malloc or free dnz and onz that is handled internally by these routines
1149 
1150    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
1151 
1152 .seealso: `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1153           `MatPreallocateSymmetricSetLocalBlock()`
1154 M*/
1155 #define MatPreallocateLocation(A,row,ncols,cols,dnz,onz)  (A ? MatSetValues(A,1,&row,ncols,cols,NULL,INSERT_VALUES) : MatPreallocateSet(row,ncols,cols,dnz,onz))
1156 
1157 /*MC
1158    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1159        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1160 
1161    Synopsis:
1162    #include <petscmat.h>
1163    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)
1164 
1165    Collective
1166 
1167    Input Parameters:
1168 +  dnz - the array that was be passed to the matrix preallocation routines
1169 -  onz - the other array passed to the matrix preallocation routines
1170 
1171    Level: intermediate
1172 
1173    Notes:
1174     This is a macro that handles its own error checking, it does not return an error code.
1175 
1176     See Users-Manual: ch_performance for more details.
1177 
1178     Do not malloc or free dnz and onz, that is handled internally by these routines
1179 
1180    Developer Notes:
1181     This is a MACRO not a function because it closes the { started in MatPreallocateBegin().
1182 
1183 .seealso: `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1184           `MatPreallocateSymmetricSetLocalBlock()`
1185 M*/
1186 #define MatPreallocateEnd(dnz,onz) PetscCall(PetscFree2(dnz,onz));} while (0)
1187 
1188 #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateEnd() (since version 3.18)\"") MatPreallocateEnd(__VA_ARGS__)
1189 
1190 /* Routines unique to particular data structures */
1191 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
1192 
1193 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
1194 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1195 
1196 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1197 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1198 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1199 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1200 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1201 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
1202 
1203 #define MAT_SKIP_ALLOCATION -4
1204 
1205 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1206 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1207 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1208 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat,PetscInt);
1209 
1210 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1211 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1212 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1213 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1214 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1215 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1216 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1217 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1218 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat,Mat*);
1219 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat,Mat*);
1220 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1221 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1222 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1223 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1224 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1225 
1226 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat,PetscInt*);
1227 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat,PetscInt);
1228 PETSC_DEPRECATED_FUNCTION("Use MatDenseSetLDA() (since version 3.14)") static inline PetscErrorCode MatSeqDenseSetLDA(Mat A,PetscInt lda) {return MatDenseSetLDA(A,lda);}
1229 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1230 
1231 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1232 
1233 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1234 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1235 
1236 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1237 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1238 /*
1239   These routines are not usually accessed directly, rather solving is
1240   done through the KSP and PC interfaces.
1241 */
1242 
1243 /*J
1244     MatOrderingType - String with the name of a PETSc matrix ordering
1245 
1246    Level: beginner
1247 
1248    Notes:
1249       If MATORDERINGEXTERNAL is used then PETSc does not compute an ordering and utilizes one built into the factorization package
1250 
1251 .seealso: `MatGetOrdering()`
1252 J*/
1253 typedef const char* MatOrderingType;
1254 #define MATORDERINGNATURAL        "natural"
1255 #define MATORDERINGND             "nd"
1256 #define MATORDERING1WD            "1wd"
1257 #define MATORDERINGRCM            "rcm"
1258 #define MATORDERINGQMD            "qmd"
1259 #define MATORDERINGROWLENGTH      "rowlength"
1260 #define MATORDERINGWBM            "wbm"
1261 #define MATORDERINGSPECTRAL       "spectral"
1262 #define MATORDERINGAMD            "amd"            /* only works if UMFPACK is installed with PETSc */
1263 #define MATORDERINGMETISND        "metisnd"        /* only works if METIS is installed with PETSc */
1264 #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 */
1265 #define MATORDERINGEXTERNAL       "external"       /* uses an ordering type internal to the factorization package */
1266 
1267 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1268 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1269 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1270 PETSC_EXTERN PetscFunctionList MatOrderingList;
1271 
1272 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1273 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1274 
1275 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat,MatFactorType,MatOrderingType*);
1276 
1277 /*S
1278     MatFactorShiftType - Numeric Shift for factorizations
1279 
1280    Level: beginner
1281 
1282 .seealso: `MatGetFactor()`
1283 S*/
1284 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1285 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1286 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1287 
1288 /*S
1289     MatFactorError - indicates what type of error was generated in a matrix factorization
1290 
1291     Level: beginner
1292 
1293     Developer Notes:
1294     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1295 
1296 .seealso: `MatGetFactor()`
1297 S*/
1298 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1299 
1300 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1301 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1302 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1303 
1304 /*S
1305    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1306 
1307    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1308 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1309 
1310    Notes:
1311     These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1312 
1313       You can use MatFactorInfoInitialize() to set default values.
1314 
1315    Level: developer
1316 
1317 .seealso: `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`, `MatICCFactorSymbolic()`, `MatICCFactor()`,
1318           `MatFactorInfoInitialize()`
1319 
1320 S*/
1321 typedef struct {
1322   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1323   PetscReal     usedt;
1324   PetscReal     dt;             /* drop tolerance */
1325   PetscReal     dtcol;          /* tolerance for pivoting */
1326   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1327   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1328   PetscReal     levels;         /* ICC/ILU(levels) */
1329   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1330                                    factorization may be faster if do not pivot */
1331   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1332   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1333   PetscReal     shiftamount;     /* how large the shift is */
1334 } MatFactorInfo;
1335 
1336 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1337 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1338 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1339 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1340 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1341 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1342 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1343 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1344 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1345 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1346 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1347 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat,IS,const MatFactorInfo*);
1348 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1349 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat,Mat,const MatFactorInfo*);
1350 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1351 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1352 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1353 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1354 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1355 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1356 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1357 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1358 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1359 
1360 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1361 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1362 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1363 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1364 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1365 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1366 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1367 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1368 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1369 
1370 PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1371 /*E
1372     MatSORType - What type of (S)SOR to perform
1373 
1374     Level: beginner
1375 
1376    May be bitwise ORd together
1377 
1378    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1379 
1380    MatSORType may be bitwise ORd together, so do not change the numbers
1381 
1382 .seealso: `MatSOR()`
1383 E*/
1384 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1385               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1386               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1387               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1388 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1389 
1390 /*
1391     These routines are for efficiently computing Jacobians via finite differences.
1392 */
1393 
1394 /*S
1395      MatColoring - Object for managing the coloring of matrices.
1396 
1397    Level: beginner
1398 
1399     Notes:
1400        Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the MatColoring object or from the mesh from which the
1401        matrix comes from via DMCreateColoring(). In general using the mesh produces a more optimal coloring (fewer colors).
1402 
1403        Once a coloring is available MatFDColoringCreate() creates an object that can be used to efficiently compute Jacobians using that coloring. This
1404        same object can also be used to efficiently convert data created by Automatic Differentation tools to PETSc sparse matrices.
1405 
1406 .seealso: `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`, `MatOrdering`, `MatPartitioning`, `MatColoringType`
1407 S*/
1408 typedef struct _p_MatColoring* MatColoring;
1409 
1410 /*J
1411     MatColoringType - String with the name of a PETSc matrix coloring
1412 
1413    Level: beginner
1414 
1415 .seealso: `MatColoringSetType()`, `MatColoring`
1416 J*/
1417 typedef const  char*           MatColoringType;
1418 #define MATCOLORINGJP      "jp"
1419 #define MATCOLORINGPOWER   "power"
1420 #define MATCOLORINGNATURAL "natural"
1421 #define MATCOLORINGSL      "sl"
1422 #define MATCOLORINGLF      "lf"
1423 #define MATCOLORINGID      "id"
1424 #define MATCOLORINGGREEDY  "greedy"
1425 
1426 /*E
1427    MatColoringWeightType - Type of weight scheme
1428 
1429     Not Collective
1430 
1431 +   MAT_COLORING_RANDOM  - Random weights
1432 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1433 -   MAT_COLORING_LF      - Last-first weighting.
1434 
1435     Level: intermediate
1436 
1437    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1438 
1439 .seealso: `MatColoring`, `MatColoringCreate()`
1440 E*/
1441 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1442 
1443 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1444 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1445 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1446 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1447 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1448 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1449 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1450 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1451 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1452 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1453 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1454 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1455 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1456 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1457 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1458 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1459 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring,ISColoring);
1460 PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring,ISColoring iscoloring) {return MatColoringTest(matcoloring,iscoloring);}
1461 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat,ISColoring);
1462 
1463 /*S
1464      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1465         and coloring
1466 
1467    Level: beginner
1468 
1469    Notes:
1470       This object is creating utilizing a coloring provided by the MatColoring object or DMCreateColoring()
1471 
1472 .seealso: `MatFDColoringCreate()`, `MatColoring`, `DMCreateColoring()`
1473 S*/
1474 typedef struct _p_MatFDColoring* MatFDColoring;
1475 
1476 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1477 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1478 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1479 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1480 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1481 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1482 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1483 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1484 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1485 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1486 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1487 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1488 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat,MatFDColoring,const PetscScalar*);
1489 
1490 /*S
1491      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1492 
1493    Level: beginner
1494 
1495 .seealso: `MatTransposeColoringCreate()`
1496 S*/
1497 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1498 
1499 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1500 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1501 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1502 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1503 
1504 /*
1505     These routines are for partitioning matrices: currently used only
1506   for adjacency matrix, MatCreateMPIAdj().
1507 */
1508 
1509 /*S
1510      MatPartitioning - Object for managing the partitioning of a matrix or graph
1511 
1512    Level: beginner
1513 
1514    Notes:
1515      There is also a PetscPartitioner object that provides the same functionality. It can utilize the MatPartitioning operations
1516      via PetscPartitionerSetType(p,PETSCPARTITIONERMATPARTITIONING)
1517 
1518    Developers Note:
1519      It is an extra maintainance and documentation cost to have two objects with the same functionality.
1520 
1521 .seealso: `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`
1522 S*/
1523 typedef struct _p_MatPartitioning* MatPartitioning;
1524 
1525 /*J
1526     MatPartitioningType - String with the name of a PETSc matrix partitioning
1527 
1528    Level: beginner
1529 dm
1530 .seealso: `MatPartitioningCreate()`, `MatPartitioning`
1531 J*/
1532 typedef const char* MatPartitioningType;
1533 #define MATPARTITIONINGCURRENT  "current"
1534 #define MATPARTITIONINGAVERAGE   "average"
1535 #define MATPARTITIONINGSQUARE   "square"
1536 #define MATPARTITIONINGPARMETIS "parmetis"
1537 #define MATPARTITIONINGCHACO    "chaco"
1538 #define MATPARTITIONINGPARTY    "party"
1539 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1540 #define MATPARTITIONINGHIERARCH  "hierarch"
1541 
1542 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1543 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1544 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1545 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1546 PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning,PetscInt);
1547 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1548 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1549 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning,PetscBool);
1550 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning,PetscBool*);
1551 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1552 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning,IS*);
1553 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning,IS);
1554 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning,IS*);
1555 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1556 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1557 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1558 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning,PetscObject,const char[]);
1559 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1560 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1561 
1562 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1563 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1564 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1565 
1566 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1567 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1568 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1569 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1570 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1571 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1572 
1573 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1574 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1575 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1576 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1577 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1578 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1579 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1580 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1581 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1582 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1583 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1584 
1585 #define MP_PARTY_OPT "opt"
1586 #define MP_PARTY_LIN "lin"
1587 #define MP_PARTY_SCA "sca"
1588 #define MP_PARTY_RAN "ran"
1589 #define MP_PARTY_GBF "gbf"
1590 #define MP_PARTY_GCF "gcf"
1591 #define MP_PARTY_BUB "bub"
1592 #define MP_PARTY_DEF "def"
1593 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1594 #define MP_PARTY_HELPFUL_SETS "hs"
1595 #define MP_PARTY_KERNIGHAN_LIN "kl"
1596 #define MP_PARTY_NONE "no"
1597 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1598 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1599 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1600 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1601 
1602 typedef enum { MP_PTSCOTCH_DEFAULT,MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1603 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1604 
1605 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1606 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1607 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1608 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1609 
1610 /*
1611  * hierarchical partitioning
1612  */
1613 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1614 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1615 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1616 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1617 
1618 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1619 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1620 
1621 /*
1622     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1623     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1624 */
1625 typedef enum { MATOP_SET_VALUES=0,
1626                MATOP_GET_ROW=1,
1627                MATOP_RESTORE_ROW=2,
1628                MATOP_MULT=3,
1629                MATOP_MULT_ADD=4,
1630                MATOP_MULT_TRANSPOSE=5,
1631                MATOP_MULT_TRANSPOSE_ADD=6,
1632                MATOP_SOLVE=7,
1633                MATOP_SOLVE_ADD=8,
1634                MATOP_SOLVE_TRANSPOSE=9,
1635                MATOP_SOLVE_TRANSPOSE_ADD=10,
1636                MATOP_LUFACTOR=11,
1637                MATOP_CHOLESKYFACTOR=12,
1638                MATOP_SOR=13,
1639                MATOP_TRANSPOSE=14,
1640                MATOP_GETINFO=15,
1641                MATOP_EQUAL=16,
1642                MATOP_GET_DIAGONAL=17,
1643                MATOP_DIAGONAL_SCALE=18,
1644                MATOP_NORM=19,
1645                MATOP_ASSEMBLY_BEGIN=20,
1646                MATOP_ASSEMBLY_END=21,
1647                MATOP_SET_OPTION=22,
1648                MATOP_ZERO_ENTRIES=23,
1649                MATOP_ZERO_ROWS=24,
1650                MATOP_LUFACTOR_SYMBOLIC=25,
1651                MATOP_LUFACTOR_NUMERIC=26,
1652                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1653                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1654                MATOP_SETUP=29,
1655                MATOP_ILUFACTOR_SYMBOLIC=30,
1656                MATOP_ICCFACTOR_SYMBOLIC=31,
1657                MATOP_GET_DIAGONAL_BLOCK=32,
1658                MATOP_SET_INF=33,
1659                MATOP_DUPLICATE=34,
1660                MATOP_FORWARD_SOLVE=35,
1661                MATOP_BACKWARD_SOLVE=36,
1662                MATOP_ILUFACTOR=37,
1663                MATOP_ICCFACTOR=38,
1664                MATOP_AXPY=39,
1665                MATOP_CREATE_SUBMATRICES=40,
1666                MATOP_INCREASE_OVERLAP=41,
1667                MATOP_GET_VALUES=42,
1668                MATOP_COPY=43,
1669                MATOP_GET_ROW_MAX=44,
1670                MATOP_SCALE=45,
1671                MATOP_SHIFT=46,
1672                MATOP_DIAGONAL_SET=47,
1673                MATOP_ZERO_ROWS_COLUMNS=48,
1674                MATOP_SET_RANDOM=49,
1675                MATOP_GET_ROW_IJ=50,
1676                MATOP_RESTORE_ROW_IJ=51,
1677                MATOP_GET_COLUMN_IJ=52,
1678                MATOP_RESTORE_COLUMN_IJ=53,
1679                MATOP_FDCOLORING_CREATE=54,
1680                MATOP_COLORING_PATCH=55,
1681                MATOP_SET_UNFACTORED=56,
1682                MATOP_PERMUTE=57,
1683                MATOP_SET_VALUES_BLOCKED=58,
1684                MATOP_CREATE_SUBMATRIX=59,
1685                MATOP_DESTROY=60,
1686                MATOP_VIEW=61,
1687                MATOP_CONVERT_FROM=62,
1688                /* MATOP_PLACEHOLDER_63=63 */
1689                MATOP_MATMAT_MULT_SYMBOLIC=64,
1690                MATOP_MATMAT_MULT_NUMERIC=65,
1691                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1692                MATOP_SET_VALUES_LOCAL=67,
1693                MATOP_ZERO_ROWS_LOCAL=68,
1694                MATOP_GET_ROW_MAX_ABS=69,
1695                MATOP_GET_ROW_MIN_ABS=70,
1696                MATOP_CONVERT=71,
1697                MATOP_HAS_OPERATION=72,
1698                /* MATOP_PLACEHOLDER_73=73, */
1699                MATOP_SET_VALUES_ADIFOR=74,
1700                MATOP_FD_COLORING_APPLY=75,
1701                MATOP_SET_FROM_OPTIONS=76,
1702                /* MATOP_PLACEHOLDER_77=77, */
1703                /* MATOP_PLACEHOLDER_78=78, */
1704                MATOP_FIND_ZERO_DIAGONALS=79,
1705                MATOP_MULT_MULTIPLE=80,
1706                MATOP_SOLVE_MULTIPLE=81,
1707                MATOP_GET_INERTIA=82,
1708                MATOP_LOAD=83,
1709                MATOP_IS_SYMMETRIC=84,
1710                MATOP_IS_HERMITIAN=85,
1711                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1712                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1713                MATOP_CREATE_VECS=88,
1714                /* MATOP_PLACEHOLDER_89=89, */
1715                MATOP_MAT_MULT_SYMBOLIC=90,
1716                MATOP_MAT_MULT_NUMERIC=91,
1717                /* MATOP_PLACEHOLDER_92=92, */
1718                MATOP_PTAP_SYMBOLIC=93,
1719                MATOP_PTAP_NUMERIC=94,
1720                /* MATOP_PLACEHOLDER_95=95, */
1721                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1722                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1723                MATOP_BIND_TO_CPU=98,
1724                MATOP_PRODUCTSETFROMOPTIONS=99,
1725                MATOP_PRODUCTSYMBOLIC=100,
1726                MATOP_PRODUCTNUMERIC=101,
1727                MATOP_CONJUGATE=102,
1728                MATOP_VIEW_NATIVE=103,
1729                MATOP_SET_VALUES_ROW=104,
1730                MATOP_REAL_PART=105,
1731                MATOP_IMAGINARY_PART=106,
1732                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1733                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1734                MATOP_MAT_SOLVE=109,
1735                MATOP_MAT_SOLVE_TRANSPOSE=110,
1736                MATOP_GET_ROW_MIN=111,
1737                MATOP_GET_COLUMN_VECTOR=112,
1738                MATOP_MISSING_DIAGONAL=113,
1739                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1740                MATOP_CREATE=115,
1741                MATOP_GET_GHOSTS=116,
1742                MATOP_GET_LOCAL_SUB_MATRIX=117,
1743                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1744                MATOP_MULT_DIAGONAL_BLOCK=119,
1745                MATOP_HERMITIAN_TRANSPOSE=120,
1746                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1747                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1748                MATOP_GET_MULTI_PROC_BLOCK=123,
1749                MATOP_FIND_NONZERO_ROWS=124,
1750                MATOP_GET_COLUMN_NORMS=125,
1751                MATOP_INVERT_BLOCK_DIAGONAL=126,
1752                MATOP_INVERT_VBLOCK_DIAGONAL=127,
1753                MATOP_CREATE_SUB_MATRICES_MPI=128,
1754                MATOP_SET_VALUES_BATCH=129,
1755                /* MATOP_PLACEHOLDER_130=130, */
1756                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1757                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1758                MATOP_TRANSPOSE_COLORING_CREAT=133,
1759                MATOP_TRANS_COLORING_APPLY_SPT=134,
1760                MATOP_TRANS_COLORING_APPLY_DEN=135,
1761                /* MATOP_PLACEHOLDER_136=136, */
1762                MATOP_RART_SYMBOLIC=137,
1763                MATOP_RART_NUMERIC=138,
1764                MATOP_SET_BLOCK_SIZES=139,
1765                MATOP_AYPX=140,
1766                MATOP_RESIDUAL=141,
1767                MATOP_FDCOLORING_SETUP=142,
1768                MATOP_FIND_OFFBLOCK_ENTRIES=143,
1769                MATOP_MPICONCATENATESEQ=144,
1770                MATOP_DESTROYSUBMATRICES=145,
1771                MATOP_TRANSPOSE_SOLVE=146,
1772                MATOP_GET_VALUES_LOCAL=147
1773              } MatOperation;
1774 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat,MatOperation,void(*)(void));
1775 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat,MatOperation,void(**)(void));
1776 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool*);
1777 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat,PetscBool*);
1778 PETSC_DEPRECATED_FUNCTION("Use MatProductClear() (since version 3.14)") static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A) {return MatProductClear(A);}
1779 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1780 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1781 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1782 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat,VecType);
1783 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1784 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1785 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1786 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat,MatProductType,PetscErrorCode (*)(Mat,Mat,Mat,void**),PetscErrorCode (*)(Mat,Mat,Mat,void*),PetscErrorCode (*)(void*),MatType,MatType);
1787 PETSC_EXTERN PetscErrorCode MatIsShell(Mat,PetscBool*);
1788 
1789 /*
1790    Codes for matrices stored on disk. By default they are
1791    stored in a universal format. By changing the format with
1792    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1793    be stored in a way natural for the matrix, for example dense matrices
1794    would be stored as dense. Matrices stored this way may only be
1795    read into matrices of the same type.
1796 */
1797 #define MATRIX_BINARY_FORMAT_DENSE -1
1798 
1799 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1800 
1801 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat,MatType);
1802 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1803 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat,PetscBool);
1804 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat,PetscBool);
1805 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1806 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1807 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1808 PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
1809 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1810 
1811 /*S
1812      MatNullSpace - Object that removes a null space from a vector, i.e.
1813          orthogonalizes the vector to a subspace
1814 
1815    Level: advanced
1816 
1817 .seealso: `MatNullSpaceCreate()`
1818 S*/
1819 typedef struct _p_MatNullSpace* MatNullSpace;
1820 
1821 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1822 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1823 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1824 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1825 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1826 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1827 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1828 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1829 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1830 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1831 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1832 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1833 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1834 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1835 
1836 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1837 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1838 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1839 
1840 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1841 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1842 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1843 
1844 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat,MatType,Mat*);
1845 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat,MatType,Mat*);
1846 
1847 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperator(Mat A,Mat* B) { return MatComputeOperator(A,NULL,B); }
1848 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A,Mat* B) { return MatComputeOperatorTranspose(A,NULL,B); }
1849 
1850 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat,PetscInt,PetscInt,const PetscScalar[],const PetscScalar[],Mat*);
1851 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat,Mat*);
1852 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat,PetscInt*,PetscInt*,PetscScalar**);
1853 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1854 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat,PetscScalar**);
1855 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat,const PetscScalar**);
1856 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat,PetscInt*,PetscInt*,PetscScalar**);
1857 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1858 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat,PetscScalar**);
1859 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat,const PetscScalar**);
1860 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat,Mat);
1861 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat,PetscInt,PetscInt,const PetscScalar[]);
1862 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat,PetscInt,PetscInt,const PetscScalar[]);
1863 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat,PetscBool*);
1864 
1865 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1866 
1867 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1868 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1869 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1870 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1871 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1872 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1873 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1874 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1875 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1876 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1877 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1878 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1879 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1880 
1881 /*S
1882     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1883               Jacobian vector products
1884 
1885     Notes:
1886     MATMFFD is a specific MatType which uses the MatMFFD data structure
1887 
1888            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1889 
1890     Level: developer
1891 
1892 .seealso: `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`
1893 S*/
1894 typedef struct _p_MatMFFD* MatMFFD;
1895 
1896 /*J
1897     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1898 
1899    Level: beginner
1900 
1901 .seealso: `MatMFFDSetType()`, `MatMFFDRegister()`
1902 J*/
1903 typedef const char* MatMFFDType;
1904 #define MATMFFD_DS  "ds"
1905 #define MATMFFD_WP  "wp"
1906 
1907 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1908 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1909 
1910 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1911 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool);
1912 
1913 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1914 
1915 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1916 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1917 
1918 #ifdef PETSC_HAVE_H2OPUS
1919 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatH2OpusKernel)(PetscInt,PetscReal[],PetscReal[],void*);
1920 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscReal[],PetscBool,MatH2OpusKernel,void*,PetscReal,PetscInt,PetscInt,Mat*);
1921 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat,PetscInt,const PetscReal[],PetscBool,PetscReal,PetscInt,PetscInt,PetscInt,PetscReal,Mat*);
1922 PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat,Mat,PetscInt,PetscReal);
1923 PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
1924 PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat,PetscReal);
1925 PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat,PetscBool);
1926 PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat,PetscBool*);
1927 PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat,IS*);
1928 PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat,PetscBool,Vec,Vec*);
1929 PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat,Mat,Mat,PetscScalar);
1930 #endif
1931 
1932 #ifdef PETSC_HAVE_HTOOL
1933 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatHtoolKernel)(PetscInt,PetscInt,PetscInt,const PetscInt*,const PetscInt*,PetscScalar*,void*);
1934 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscReal[],const PetscReal[],MatHtoolKernel,void*,Mat*);
1935 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat,MatHtoolKernel,void*);
1936 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat,IS*);
1937 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat,IS*);
1938 PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat,PetscBool);
1939 /*E
1940      MatHtoolCompressorType - Indicates the type of compressor used by a MATHTOOL
1941 
1942    Level: beginner
1943 
1944     Values:
1945 +   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA (default) - symmetric partial adaptive cross approximation
1946 .   MAT_HTOOL_COMPRESSOR_FULL_ACA - full adaptive cross approximation
1947 -   MAT_HTOOL_COMPRESSOR_SVD - singular value decomposition
1948 
1949 .seealso: `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
1950 E*/
1951 typedef enum { MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA, MAT_HTOOL_COMPRESSOR_FULL_ACA, MAT_HTOOL_COMPRESSOR_SVD } MatHtoolCompressorType;
1952 /*E
1953      MatHtoolClusteringType - Indicates the type of clustering used by a MATHTOOL
1954 
1955    Level: beginner
1956 
1957     Values:
1958 +   MAT_HTOOL_CLUSTERING_PCA_REGULAR (default) - axis computed via principle component analysis, split uniformly
1959 .   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC - axis computed via principle component analysis, split barycentrically
1960 .   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR - axis along the largest extent of the bounding box, split uniformly
1961 -   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC - axis along the largest extent of the bounding box, split barycentrically
1962 
1963     Notes: higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
1964 
1965 .seealso: `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
1966 E*/
1967 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;
1968 #endif
1969 
1970 /*
1971    PETSc interface to MUMPS
1972 */
1973 #ifdef PETSC_HAVE_MUMPS
1974 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1975 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1976 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1977 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1978 
1979 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1980 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1981 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1982 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1983 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat,Mat);
1984 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat,Mat);
1985 #endif
1986 
1987 /*
1988    PETSc interface to Mkl_Pardiso
1989 */
1990 #ifdef PETSC_HAVE_MKL_PARDISO
1991 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1992 #endif
1993 
1994 /*
1995    PETSc interface to Mkl_CPardiso
1996 */
1997 #ifdef PETSC_HAVE_MKL_CPARDISO
1998 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1999 #endif
2000 
2001 /*
2002    PETSc interface to SUPERLU
2003 */
2004 #ifdef PETSC_HAVE_SUPERLU
2005 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
2006 #endif
2007 
2008 /*
2009    PETSc interface to SUPERLU_DIST
2010 */
2011 #ifdef PETSC_HAVE_SUPERLU_DIST
2012 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
2013 #endif
2014 
2015 /*
2016    PETSc interface to STRUMPACK
2017 */
2018 #ifdef PETSC_HAVE_STRUMPACK
2019 /*E
2020     MatSTRUMPACKReordering - sparsity reducing ordering to be used in STRUMPACK
2021 
2022     Level: intermediate
2023 E*/
2024 typedef enum {MAT_STRUMPACK_NATURAL=0,
2025               MAT_STRUMPACK_METIS=1,
2026               MAT_STRUMPACK_PARMETIS=2,
2027               MAT_STRUMPACK_SCOTCH=3,
2028               MAT_STRUMPACK_PTSCOTCH=4,
2029               MAT_STRUMPACK_RCM=5} MatSTRUMPACKReordering;
2030 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat,MatSTRUMPACKReordering);
2031 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
2032 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat,PetscReal);
2033 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat,PetscReal rtol) {return MatSTRUMPACKSetHSSRelTol(mat,rtol);}
2034 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat,PetscReal);
2035 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat,PetscInt);
2036 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat,PetscInt hssminsize) {return MatSTRUMPACKSetHSSMinSepSize(mat,hssminsize);}
2037 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat,PetscInt);
2038 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat,PetscInt);
2039 #endif
2040 
2041 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat,PetscBool);
2042 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat,PetscBool*);
2043 PETSC_DEPRECATED_FUNCTION("Use MatBindToCPU (since v3.13)") static inline PetscErrorCode MatPinToCPU(Mat A,PetscBool flg) {return MatBindToCPU(A,flg);}
2044 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat,PetscBool);
2045 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat,PetscBool *);
2046 
2047 typedef struct _n_SplitCSRMat *PetscSplitCSRDataStructure;
2048 PETSC_EXTERN PetscErrorCode MatCUSPARSEGetDeviceMatWrite(Mat,PetscSplitCSRDataStructure*);
2049 
2050 #ifdef PETSC_HAVE_KOKKOS_KERNELS
2051 PETSC_EXTERN PetscErrorCode MatKokkosGetDeviceMatWrite(Mat,PetscSplitCSRDataStructure*);
2052 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosSetDeviceMat(Mat,PetscSplitCSRDataStructure);
2053 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosGetDeviceMat(Mat,PetscSplitCSRDataStructure*);
2054 #endif
2055 
2056 #ifdef PETSC_HAVE_CUDA
2057 /*E
2058     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
2059     matrices.
2060 
2061     Not Collective
2062 
2063 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
2064 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
2065 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2066 
2067     Level: intermediate
2068 
2069    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
2070 
2071 .seealso: `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2072 E*/
2073 
2074 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
2075 
2076 /* these will be strings associated with enumerated type defined above */
2077 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2078 
2079 /*E
2080     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
2081     matrices whose operation should use a particular storage format.
2082 
2083     Not Collective
2084 
2085 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
2086 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
2087 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
2088 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
2089 
2090     Level: intermediate
2091 
2092 .seealso: `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2093 E*/
2094 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
2095 
2096 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
2097 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
2098 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
2099 PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat,PetscBool);
2100 typedef struct Mat_SeqAIJCUSPARSETriFactors* Mat_SeqAIJCUSPARSETriFactors_p;
2101 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat,PetscBool,const int**,const int**);
2102 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat,PetscBool,const int**,const int**);
2103 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat,const PetscScalar**);
2104 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat,const PetscScalar**);
2105 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat,PetscScalar**);
2106 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat,PetscScalar**);
2107 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat,PetscScalar**);
2108 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat,PetscScalar**);
2109 
2110 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
2111 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
2112 PETSC_EXTERN PetscErrorCode MatMPIDenseCUDASetPreallocation(Mat,PetscScalar[]);
2113 PETSC_EXTERN PetscErrorCode MatSeqDenseCUDASetPreallocation(Mat,PetscScalar[]);
2114 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat,PetscScalar**);
2115 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat,const PetscScalar**);
2116 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat,PetscScalar**);
2117 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat,PetscScalar**);
2118 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat,const PetscScalar**);
2119 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat,PetscScalar**);
2120 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat,const PetscScalar*);
2121 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat,const PetscScalar*);
2122 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2123 
2124 #endif
2125 
2126 #if defined(PETSC_HAVE_VIENNACL)
2127 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
2128 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
2129 #endif
2130 
2131 /*
2132    PETSc interface to FFTW
2133 */
2134 #if defined(PETSC_HAVE_FFTW)
2135 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
2136 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
2137 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
2138 #endif
2139 
2140 #if defined(PETSC_HAVE_SCALAPACK)
2141 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
2142 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat,PetscInt,PetscInt);
2143 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat,PetscInt*,PetscInt*);
2144 #endif
2145 
2146 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
2147 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
2148 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
2149 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
2150 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
2151 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
2152 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
2153 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
2154 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
2155 
2156 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
2157 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
2158 
2159 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
2160 
2161 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
2162 
2163 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
2164 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
2165 
2166 PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat,const PetscInt**,const PetscInt**,PetscScalar**,PetscMemType*);
2167 
2168 PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat,PetscBool,PetscBool,Mat*);
2169 PETSC_EXTERN PetscErrorCode MatFilter(Mat,PetscReal,Mat*);
2170 
2171 #endif
2172