xref: /petsc/include/petscmat.h (revision 3307d110e72ee4e6d2468971620073eb5ff93529)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #ifndef PETSCMAT_H
5 #define PETSCMAT_H
6 #include <petscvec.h>
7 
8 /*S
9      Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
10            an explicit sparse representation (such as matrix-free operators)
11 
12    Level: beginner
13 
14 .seealso:  MatCreate(), MatType, MatSetType(), MatDestroy()
15 S*/
16 typedef struct _p_Mat*           Mat;
17 
18 /*J
19     MatType - String with the name of a PETSc matrix type
20 
21    Level: beginner
22 
23 .seealso: MatSetType(), Mat, MatSolverType, MatRegister()
24 J*/
25 typedef const char* MatType;
26 #define MATSAME            "same"
27 #define MATMAIJ            "maij"
28 #define MATSEQMAIJ         "seqmaij"
29 #define MATMPIMAIJ         "mpimaij"
30 #define MATKAIJ            "kaij"
31 #define MATSEQKAIJ         "seqkaij"
32 #define MATMPIKAIJ         "mpikaij"
33 #define MATIS              "is"
34 #define MATAIJ             "aij"
35 #define MATSEQAIJ          "seqaij"
36 #define MATMPIAIJ          "mpiaij"
37 #define MATAIJCRL          "aijcrl"
38 #define MATSEQAIJCRL       "seqaijcrl"
39 #define MATMPIAIJCRL       "mpiaijcrl"
40 #define MATAIJCUSPARSE     "aijcusparse"
41 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
42 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
43 #define MATAIJKOKKOS       "aijkokkos"
44 #define MATSEQAIJKOKKOS    "seqaijkokkos"
45 #define MATMPIAIJKOKKOS    "mpiaijkokkos"
46 #define MATAIJVIENNACL     "aijviennacl"
47 #define MATSEQAIJVIENNACL  "seqaijviennacl"
48 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
49 #define MATAIJPERM         "aijperm"
50 #define MATSEQAIJPERM      "seqaijperm"
51 #define MATMPIAIJPERM      "mpiaijperm"
52 #define MATAIJSELL         "aijsell"
53 #define MATSEQAIJSELL      "seqaijsell"
54 #define MATMPIAIJSELL      "mpiaijsell"
55 #define MATAIJMKL          "aijmkl"
56 #define MATSEQAIJMKL       "seqaijmkl"
57 #define MATMPIAIJMKL       "mpiaijmkl"
58 #define MATBAIJMKL         "baijmkl"
59 #define MATSEQBAIJMKL      "seqbaijmkl"
60 #define MATMPIBAIJMKL      "mpibaijmkl"
61 #define MATSHELL           "shell"
62 #define MATCENTERING       "centering"
63 #define MATDENSE           "dense"
64 #define MATDENSECUDA       "densecuda"
65 #define MATSEQDENSE        "seqdense"
66 #define MATSEQDENSECUDA    "seqdensecuda"
67 #define MATMPIDENSE        "mpidense"
68 #define MATMPIDENSECUDA    "mpidensecuda"
69 #define MATELEMENTAL       "elemental"
70 #define MATSCALAPACK       "scalapack"
71 #define MATBAIJ            "baij"
72 #define MATSEQBAIJ         "seqbaij"
73 #define MATMPIBAIJ         "mpibaij"
74 #define MATMPIADJ          "mpiadj"
75 #define MATSBAIJ           "sbaij"
76 #define MATSEQSBAIJ        "seqsbaij"
77 #define MATMPISBAIJ        "mpisbaij"
78 #define MATMFFD            "mffd"
79 #define MATNORMAL          "normal"
80 #define MATNORMALHERMITIAN "normalh"
81 #define MATLRC             "lrc"
82 #define MATSCATTER         "scatter"
83 #define MATBLOCKMAT        "blockmat"
84 #define MATCOMPOSITE       "composite"
85 #define MATFFT             "fft"
86 #define MATFFTW            "fftw"
87 #define MATSEQCUFFT        "seqcufft"
88 #define MATTRANSPOSEMAT    "transpose"
89 #define MATSCHURCOMPLEMENT "schurcomplement"
90 #define MATPYTHON          "python"
91 #define MATHYPRE           "hypre"
92 #define MATHYPRESTRUCT     "hyprestruct"
93 #define MATHYPRESSTRUCT    "hypresstruct"
94 #define MATSUBMATRIX       "submatrix"
95 #define MATLOCALREF        "localref"
96 #define MATNEST            "nest"
97 #define MATPREALLOCATOR    "preallocator"
98 #define MATSELL            "sell"
99 #define MATSEQSELL         "seqsell"
100 #define MATMPISELL         "mpisell"
101 #define MATDUMMY           "dummy"
102 #define MATLMVM            "lmvm"
103 #define MATLMVMDFP         "lmvmdfp"
104 #define MATLMVMBFGS        "lmvmbfgs"
105 #define MATLMVMSR1         "lmvmsr1"
106 #define MATLMVMBROYDEN     "lmvmbroyden"
107 #define MATLMVMBADBROYDEN  "lmvmbadbroyden"
108 #define MATLMVMSYMBROYDEN  "lmvmsymbroyden"
109 #define MATLMVMSYMBADBROYDEN "lmvmsymbadbroyden"
110 #define MATLMVMDIAGBROYDEN   "lmvmdiagbroyden"
111 #define MATCONSTANTDIAGONAL  "constantdiagonal"
112 #define MATHTOOL           "htool"
113 #define MATH2OPUS          "h2opus"
114 
115 /*J
116     MatSolverType - String with the name of a PETSc matrix solver type.
117 
118     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
119 
120    Level: beginner
121 
122    Notes:  MATSOLVERUMFPACK, MATSOLVERCHOLMOD, MATSOLVERKLU, MATSOLVERSPQR form the SuiteSparse package for which you can use --download-suitesparse
123 
124 .seealso: MatGetFactor(), PCFactorSetMatSolverType(), PCFactorGetMatSolverType()
125 J*/
126 typedef const char* MatSolverType;
127 #define MATSOLVERSUPERLU          "superlu"
128 #define MATSOLVERSUPERLU_DIST     "superlu_dist"
129 #define MATSOLVERSTRUMPACK        "strumpack"
130 #define MATSOLVERUMFPACK          "umfpack"
131 #define MATSOLVERCHOLMOD          "cholmod"
132 #define MATSOLVERKLU              "klu"
133 #define MATSOLVERSPARSEELEMENTAL  "sparseelemental"
134 #define MATSOLVERELEMENTAL        "elemental"
135 #define MATSOLVERSCALAPACK        "scalapack"
136 #define MATSOLVERESSL             "essl"
137 #define MATSOLVERLUSOL            "lusol"
138 #define MATSOLVERMUMPS            "mumps"
139 #define MATSOLVERMKL_PARDISO      "mkl_pardiso"
140 #define MATSOLVERMKL_CPARDISO     "mkl_cpardiso"
141 #define MATSOLVERPASTIX           "pastix"
142 #define MATSOLVERMATLAB           "matlab"
143 #define MATSOLVERPETSC            "petsc"
144 #define MATSOLVERBAS              "bas"
145 #define MATSOLVERCUSPARSE         "cusparse"
146 #define MATSOLVERCUSPARSEBAND     "cusparseband"
147 #define MATSOLVERCUDA             "cuda"
148 #define MATSOLVERKOKKOS           "kokkos"
149 #define MATSOLVERKOKKOSDEVICE     "kokkosdevice"
150 #define MATSOLVERSPQR             "spqr"
151 
152 /*E
153     MatFactorType - indicates what type of factorization is requested
154 
155     Level: beginner
156 
157    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
158 
159 .seealso: MatSolverType, MatGetFactor(), MatGetFactorAvailable(), MatSolverTypeRegister()
160 E*/
161 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;
162 PETSC_EXTERN const char *const MatFactorTypes[];
163 
164 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,MatSolverType,MatFactorType,Mat*);
165 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,MatSolverType,MatFactorType,PetscBool *);
166 PETSC_EXTERN PetscErrorCode MatFactorGetCanUseOrdering(Mat, PetscBool*);
167 PETSC_DEPRECATED_FUNCTION("Use MatFactorGetCanUseOrdering() (since version 3.15)") static inline PetscErrorCode MatFactorGetUseOrdering(Mat A,PetscBool *b) {return MatFactorGetCanUseOrdering(A,b);}
168 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat,MatSolverType*);
169 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
170 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat,MatFactorType);
171 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatSolverFunction)(Mat,MatFactorType,Mat*);
172 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType,MatType,MatFactorType,MatSolverFunction);
173 PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType,MatType,MatFactorType,PetscBool*,PetscBool*,MatSolverFunction*);
174 typedef MatSolverType MatSolverPackage PETSC_DEPRECATED_TYPEDEF("Use MatSolverType (since version 3.9)");
175 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeRegister() (since version 3.9)") static inline PetscErrorCode MatSolverPackageRegister(MatSolverType stype,MatType mtype,MatFactorType ftype,MatSolverFunction f)
176 { return MatSolverTypeRegister(stype,mtype,ftype,f); }
177 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)
178 { return MatSolverTypeGet(stype,mtype,ftype,foundmtype,foundstype,f); }
179 
180 /*E
181     MatProductType - indicates what type of matrix product is requested
182 
183     Level: beginner
184 
185 .seealso: MatProductSetType()
186 E*/
187 typedef enum {MATPRODUCT_UNSPECIFIED=0,MATPRODUCT_AB,MATPRODUCT_AtB,MATPRODUCT_ABt,MATPRODUCT_PtAP,MATPRODUCT_RARt,MATPRODUCT_ABC} MatProductType;
188 PETSC_EXTERN const char *const MatProductTypes[];
189 
190 /*J
191     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
192 
193    Level: beginner
194 
195 .seealso: MatSetType(), Mat, MatProductSetAlgorithm(), MatProductType
196 J*/
197 typedef const char* MatProductAlgorithm;
198 #define MATPRODUCTALGORITHMDEFAULT "default"
199 #define MATPRODUCTALGORITHMSORTED "sorted"
200 #define MATPRODUCTALGORITHMSCALABLE "scalable"
201 #define MATPRODUCTALGORITHMSCALABLEFAST "scalable_fast"
202 #define MATPRODUCTALGORITHMHEAP "heap"
203 #define MATPRODUCTALGORITHMBHEAP "btheap"
204 #define MATPRODUCTALGORITHMLLCONDENSED "llcondensed"
205 #define MATPRODUCTALGORITHMROWMERGE "rowmerge"
206 #define MATPRODUCTALGORITHMOUTERPRODUCT "outerproduct"
207 #define MATPRODUCTALGORITHMATB "at*b"
208 #define MATPRODUCTALGORITHMRAP "rap"
209 #define MATPRODUCTALGORITHMNONSCALABLE "nonscalable"
210 #define MATPRODUCTALGORITHMSEQMPI "seqmpi"
211 #define MATPRODUCTALGORITHMBACKEND "backend"
212 #define MATPRODUCTALGORITHMOVERLAPPING "overlapping"
213 #define MATPRODUCTALGORITHMMERGED "merged"
214 #define MATPRODUCTALGORITHMALLATONCE "allatonce"
215 #define MATPRODUCTALGORITHMALLATONCEMERGED "allatonce_merged"
216 #define MATPRODUCTALGORITHMALLGATHERV "allgatherv"
217 #define MATPRODUCTALGORITHMCYCLIC "cyclic"
218 #if defined(PETSC_HAVE_HYPRE)
219 #define MATPRODUCTALGORITHMHYPRE "hypre"
220 #endif
221 
222 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat,Mat,Mat,Mat*);
223 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat,Mat,Mat,Mat);
224 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat,MatProductType);
225 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat,MatProductAlgorithm);
226 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat,PetscReal);
227 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
228 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
229 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
230 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat,Mat,Mat,Mat);
231 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
232 PETSC_EXTERN PetscErrorCode MatProductView(Mat,PetscViewer);
233 PETSC_EXTERN PetscErrorCode MatProductGetType(Mat,MatProductType*);
234 PETSC_EXTERN PetscErrorCode MatProductGetMats(Mat,Mat*,Mat*,Mat*);
235 
236 /* Logging support */
237 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
238 PETSC_EXTERN PetscClassId MAT_CLASSID;
239 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
240 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
241 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
242 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
243 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
244 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
245 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
246 
247 /*E
248     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
249      are to be reused to store the new matrix values.
250 
251 $  MAT_INITIAL_MATRIX - create a new matrix
252 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
253 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
254 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
255 
256     Level: beginner
257 
258    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
259 
260 .seealso: MatCreateSubMatrices(), MatCreateSubMatrix(), MatDestroyMatrices(), MatConvert()
261 E*/
262 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
263 
264 /*E
265     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
266      include the matrix values. Currently it is only used by MatGetSeqNonzeroStructure().
267 
268     Level: beginner
269 
270 .seealso: MatGetSeqNonzeroStructure()
271 E*/
272 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatCreateSubMatrixOption;
273 
274 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
275 
276 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
277 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
278 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
279 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat,VecType*);
280 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat,VecType);
281 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
282 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat,PetscObject,const char[]);
283 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
284 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[],const char[],const char[]);
285 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
286 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
287 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
288 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
289 
290 PETSC_EXTERN PetscFunctionList MatList;
291 PETSC_EXTERN PetscFunctionList MatColoringList;
292 PETSC_EXTERN PetscFunctionList MatPartitioningList;
293 
294 /*E
295     MatStructure - Indicates if two matrices have the same nonzero structure
296 
297     Level: beginner
298 
299 $  SAME_NONZERO_PATTERN  - the two matrices have identical nonzero patterns
300 $  DIFFERENT_NONZERO_PATTERN - the two matrices may have different nonzero patterns
301 $  SUBSET_NONZERO_PATTERN - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
302 $  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
303 
304    Developer Notes:
305      Any additions/changes here MUST also be made in src/mat/f90-mod/petscmat.h
306 
307 .seealso: MatCopy(), MatAXPY(), MatAYPX()
308 E*/
309 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN,UNKNOWN_NONZERO_PATTERN} MatStructure;
310 PETSC_EXTERN const char *const MatStructures[];
311 
312 #if defined PETSC_HAVE_MKL_SPARSE
313 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
314 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
315 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
316 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
317 #endif
318 
319 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
320 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
321 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat,PetscInt,const PetscInt[]);
322 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
323 
324 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
325 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
326 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
327 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
328 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
329 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
330 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
331 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm,Mat,Mat,const PetscInt[],Mat*);
332 
333 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
334 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
335 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
336 
337 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat,PetscCount,const PetscInt[],const PetscInt[]);
338 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat,PetscCount,PetscInt[],PetscInt[]);
339 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat,const PetscScalar[],InsertMode);
340 
341 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
342 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
343 
344 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
345 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
346 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
347 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
348 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
349 
350 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
351 PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm,PetscInt,PetscInt,Mat*);
352 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
353 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
354 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
355 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
356 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
357 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
358 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
359 
360 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
361 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
362 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
363 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
364 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
365 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
366 typedef enum {MAT_COMPOSITE_MERGE_RIGHT,MAT_COMPOSITE_MERGE_LEFT} MatCompositeMergeType;
367 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat,MatCompositeMergeType);
368 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
369 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
370 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
371 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat,MatCompositeType*);
372 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat,MatStructure);
373 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat,MatStructure*);
374 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat,PetscInt*);
375 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat,PetscInt,Mat*);
376 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat,const PetscScalar*);
377 
378 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
379 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
380 
381 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
382 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
383 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
384 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat,Mat*);
385 PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat,Mat*);
386 PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat,Mat*);
387 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
388 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
389 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
390 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar,Mat*);
391 
392 #if defined(PETSC_HAVE_HYPRE)
393 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
394 #endif
395 
396 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
397 
398 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
399 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
400 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
401 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
402 
403 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
404 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
405 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
406 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
407 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
408 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
409 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat,PetscInt,const PetscInt*,PetscScalar*);
410 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat,Mat);
411 
412 /* ------------------------------------------------------------*/
413 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
414 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
415 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
416 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
417 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
418 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
419 
420 /*S
421      MatStencil - Data structure (C struct) for storing information about a single row or
422         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
423 
424    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).
425    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.
426 
427    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
428 
429    Fortran usage is different, see MatSetValuesStencil() for details.
430 
431    Level: beginner
432 
433 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
434 S*/
435 typedef struct {
436   PetscInt k,j,i,c;
437 } MatStencil;
438 
439 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
440 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
441 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
442 
443 /*E
444     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
445      to continue to add or insert values to it
446 
447     Level: beginner
448 
449 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
450 E*/
451 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
452 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
453 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
454 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
455 
456 /*E
457     MatOption - Options that may be set for a matrix and its behavior or storage
458 
459     Level: beginner
460 
461    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
462    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
463 
464    Developer Notes:
465     Entries that are negative need not be called collectively by all processes.
466 
467 .seealso: MatSetOption()
468 E*/
469 typedef enum {MAT_OPTION_MIN = -3,
470               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
471               MAT_ROW_ORIENTED = -1,
472               MAT_SYMMETRIC = 1,
473               MAT_STRUCTURALLY_SYMMETRIC = 2,
474               MAT_FORCE_DIAGONAL_ENTRIES = 3,
475               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
476               MAT_USE_HASH_TABLE = 5,
477               MAT_KEEP_NONZERO_PATTERN = 6,
478               MAT_IGNORE_ZERO_ENTRIES = 7,
479               MAT_USE_INODES = 8,
480               MAT_HERMITIAN = 9,
481               MAT_SYMMETRY_ETERNAL = 10,
482               MAT_NEW_NONZERO_LOCATION_ERR = 11,
483               MAT_IGNORE_LOWER_TRIANGULAR = 12,
484               MAT_ERROR_LOWER_TRIANGULAR = 13,
485               MAT_GETROW_UPPERTRIANGULAR = 14,
486               MAT_SPD = 15,
487               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
488               MAT_NO_OFF_PROC_ENTRIES = 17,
489               MAT_NEW_NONZERO_LOCATIONS = 18,
490               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
491               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
492               MAT_SUBMAT_SINGLEIS = 21,
493               MAT_STRUCTURE_ONLY = 22,
494               MAT_SORTED_FULL = 23,
495               MAT_FORM_EXPLICIT_TRANSPOSE = 24,
496               MAT_OPTION_MAX = 25} MatOption;
497 
498 PETSC_EXTERN const char *const *MatOptions;
499 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
500 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
501 PETSC_EXTERN PetscErrorCode MatPropagateSymmetryOptions(Mat,Mat);
502 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
503 
504 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
505 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
506 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
507 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
508 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
509 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
510 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
511 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArrayRead(Mat,const PetscScalar *[]);
512 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArrayWrite(Mat,PetscScalar *[]);
513 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
514 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArrayRead(Mat,const PetscScalar *[]);
515 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArrayWrite(Mat,PetscScalar *[]);
516 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
517 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
518 PETSC_EXTERN PetscErrorCode MatSeqAIJSetType(Mat,MatType);
519 PETSC_EXTERN PetscErrorCode MatSeqAIJKron(Mat,Mat,MatReuse,Mat*);
520 PETSC_EXTERN PetscErrorCode MatSeqAIJRegister(const char[],PetscErrorCode (*)(Mat,MatType,MatReuse,Mat *));
521 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
522 PETSC_EXTERN PetscErrorCode MatSeqBAIJGetArray(Mat,PetscScalar *[]);
523 PETSC_EXTERN PetscErrorCode MatSeqBAIJRestoreArray(Mat,PetscScalar *[]);
524 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
525 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
526 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
527 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
528 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
529 PETSC_EXTERN PetscErrorCode MatDenseReplaceArray(Mat,const PetscScalar[]);
530 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
531 PETSC_EXTERN PetscErrorCode MatDenseGetArrayRead(Mat,const PetscScalar *[]);
532 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayRead(Mat,const PetscScalar *[]);
533 PETSC_EXTERN PetscErrorCode MatDenseGetArrayWrite(Mat,PetscScalar *[]);
534 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayWrite(Mat,PetscScalar *[]);
535 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
536 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
537 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
538 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
539 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
540 PETSC_EXTERN PetscErrorCode MatSetVariableBlockSizes(Mat,PetscInt,PetscInt*);
541 PETSC_EXTERN PetscErrorCode MatGetVariableBlockSizes(Mat,PetscInt*,const PetscInt**);
542 
543 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat,PetscInt,PetscScalar*[]);
544 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat,PetscScalar*[]);
545 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat,PetscInt,Vec*);
546 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat,PetscInt,Vec*);
547 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat,PetscInt,Vec*);
548 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat,PetscInt,Vec*);
549 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat,PetscInt,Vec*);
550 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat,PetscInt,Vec*);
551 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat,PetscInt,PetscInt,Mat*);
552 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat,Mat*);
553 
554 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
555 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
556 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
557 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
558 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
559 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
560 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
561 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
562 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
563 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
564 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
565 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat,Mat,Mat);
566 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
567 
568 /*E
569     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
570   its numerical values copied over or just its nonzero structure.
571 
572     Level: beginner
573 
574    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
575 
576 $   MAT_DO_NOT_COPY_VALUES    - Create a matrix using the same nonzero pattern as the original matrix,
577 $                               with zeros for the numerical values.
578 $   MAT_COPY_VALUES           - Create a matrix with the same nonzero pattern as the original matrix
579 $                               and with the same numerical values.
580 $   MAT_SHARE_NONZERO_PATTERN - Create a matrix that shares the nonzero structure with the previous matrix
581 $                               and does not copy it, using zeros for the numerical values. The parent and
582 $                               child matrices will share their index (i and j) arrays, and you cannot
583 $                               insert new nonzero entries into either matrix.
584 
585 Notes:
586     Many matrix types (including SeqAIJ) do not support the MAT_SHARE_NONZERO_PATTERN optimization; in
587 this case the behavior is as if MAT_DO_NOT_COPY_VALUES has been specified.
588 
589 .seealso: MatDuplicate()
590 E*/
591 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
592 
593 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
594 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
595 
596 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
597 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
598 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
599 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
600 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
601 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
602 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
603 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
604 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
605 
606 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
607 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
608 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
609 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
610 
611 /*S
612      MatInfo - Context of matrix information, used with MatGetInfo()
613 
614    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
615 
616    Level: intermediate
617 
618 .seealso:  MatGetInfo(), MatInfoType
619 S*/
620 typedef struct {
621   PetscLogDouble block_size;                         /* block size */
622   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
623   PetscLogDouble memory;                             /* memory allocated */
624   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
625   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
626   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
627   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
628 } MatInfo;
629 
630 /*E
631     MatInfoType - Indicates if you want information about the local part of the matrix,
632      the entire parallel matrix or the maximum over all the local parts.
633 
634     Level: beginner
635 
636    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
637 
638 .seealso: MatGetInfo(), MatInfo
639 E*/
640 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
641 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
642 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
643 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
644 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
645 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
646 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
647 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
648 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
649 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
650 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
651 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
652 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
653 
654 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
655 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
656 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
657 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
658 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
659 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
660 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
661 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
662 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
663 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
664 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
665 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
666 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat,PetscInt,PetscBool*);
667 
668 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
669 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
670 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat,PetscScalar*);
671 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat,PetscReal*);
672 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat,PetscReal*);
673 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat,PetscScalar*);
674 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat,PetscReal*);
675 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat,PetscReal*);
676 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat,PetscInt,PetscReal*);
677 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
678 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
679 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
680 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
681 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
682 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
683 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
684 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
685 
686 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
687 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
688 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
689 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
690 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
691 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
692 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
693 
694 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
695 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);}
696 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
697 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);}
698 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
699 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
700 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
701 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);}
702 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
703 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
704 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
705 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
706 
707 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
708 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
709 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
710 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
711 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
712 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat,MatReuse,IS*,Mat*);
713 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
714 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
715 
716 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
717 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
718 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
719 
720 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
721 
722 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
723 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
724 
725 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
726 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
727 
728 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
729 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
730 
731 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
732 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
733 
734 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
735 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
736 
737 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
738 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
739 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
740 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat,PetscLayout,PetscLayout);
741 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
742 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
743 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
744 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
745 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
746 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
747 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
748 
749 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
750 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
751 
752 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
753 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
754 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
755 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat,Mat,Mat*);
756 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat,Mat,Mat,Mat*);
757 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat,Mat,Mat*);
758 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
759 PETSC_DEPRECATED_FUNCTION("Use MatCreateVecs() (since version 3.6)") static inline PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
760 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
761 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
762 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
763 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
764 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
765 
766 /*MC
767    MatSetValue - Set a single entry into a matrix.
768 
769    Not collective
770 
771    Synopsis:
772      #include <petscmat.h>
773      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
774 
775    Input Parameters:
776 +  m - the matrix
777 .  row - the row location of the entry
778 .  col - the column location of the entry
779 .  value - the value to insert
780 -  mode - either INSERT_VALUES or ADD_VALUES
781 
782    Notes:
783    For efficiency one should use MatSetValues() and set several values simultaneously.
784 
785    Level: beginner
786 
787 .seealso: MatGetValue(), MatSetValues(), MatSetValueLocal(), MatSetValuesLocal()
788 M*/
789 static inline PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
790 
791 /*@C
792    MatGetValue - Gets a single value from a matrix
793 
794    Not Collective; can only return a value owned by the given process
795 
796    Input Parameters:
797 +  mat - the matrix
798 .  row - the row location of the entry
799 -  col - the column location of the entry
800 
801    Output Parameter:
802 .  va - the value
803 
804    Notes:
805    For efficiency one should use MatGetValues() and get several values simultaneously.
806 
807    See notes for MatGetValues().
808 
809    Level: advanced
810 
811 .seealso: MatSetValue(), MatGetValueLocal(), MatGetValues()
812 @*/
813 static inline PetscErrorCode MatGetValue(Mat mat,PetscInt row,PetscInt col,PetscScalar *va) {return MatGetValues(mat,1,&row,1,&col,va);}
814 
815 /*MC
816    MatSetValueLocal - Inserts or adds a single value into a matrix,
817    using a local numbering of the nodes.
818 
819    Not Collective
820 
821    Input Parameters:
822 +  m - the matrix
823 .  row - the row location of the entry
824 .  col - the column location of the entry
825 .  value - the value to insert
826 -  mode - either INSERT_VALUES or ADD_VALUES
827 
828    Notes:
829    For efficiency one should use MatSetValuesLocal() and set several values simultaneously.
830 
831    See notes for MatSetValuesLocal() for additional information on when and how this function can be used.
832 
833    Level: intermediate
834 
835 .seealso: MatSetValue(), MatSetValuesLocal()
836 M*/
837 static inline PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
838 
839 /*MC
840    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
841        row in a matrix providing the data that one can use to correctly preallocate the matrix.
842 
843    Synopsis:
844    #include <petscmat.h>
845    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
846 
847    Collective
848 
849    Input Parameters:
850 +  comm - the communicator that will share the eventually allocated matrix
851 .  nrows - the number of LOCAL rows in the matrix
852 -  ncols - the number of LOCAL columns in the matrix
853 
854    Output Parameters:
855 +  dnz - the array that will be passed to the matrix preallocation routines
856 -  onz - the other array passed to the matrix preallocation routines
857 
858    Level: intermediate
859 
860    Notes:
861     This is a macro that handles its own error checking, it does not return an error code.
862 
863     See Users-Manual: ch_performance for more details.
864 
865     Do not malloc or free dnz and onz, that is handled internally by these routines
866 
867    Developer Notes:
868     This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
869 
870 .seealso: MatPreallocateEnd(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
871           MatPreallocateSymmetricSetLocalBlock()
872 M*/
873 #define MatPreallocateBegin(comm,nrows,ncols,dnz,onz)  do {                             \
874   PetscInt __nrows = (nrows),__ncols = (ncols),__rstart,__start,__end = 0;                     \
875   PetscCall(PetscCalloc2(__nrows,&(dnz),__nrows,&(onz)));                                        \
876   PetscCallMPI(MPI_Scan(&__ncols,&__end,1,MPIU_INT,MPI_SUM,comm));                                \
877   __start = __end - __ncols; (void)__start;                                                    \
878   PetscCallMPI(MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm));                             \
879   __rstart -= __nrows
880 
881 #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateBegin() (since version 3.18)\"") MatPreallocateBegin(__VA_ARGS__)
882 
883 /*MC
884    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
885        inserted using a local number of the rows and columns
886 
887    Synopsis:
888    #include <petscmat.h>
889    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
890 
891    Not Collective
892 
893    Input Parameters:
894 +  map - the row mapping from local numbering to global numbering
895 .  nrows - the number of rows indicated
896 .  rows - the indices of the rows
897 .  cmap - the column mapping from local to global numbering
898 .  ncols - the number of columns in the matrix
899 .  cols - the columns indicated
900 .  dnz - the array that will be passed to the matrix preallocation routines
901 -  onz - the other array passed to the matrix preallocation routines
902 
903    Level: intermediate
904 
905    Notes:
906     See Users-Manual: ch_performance for more details.
907 
908    Do not malloc or free dnz and onz, that is handled internally by these routines
909 
910 .seealso: MatPreallocateEnd(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
911           MatPreallocateBegin(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
912 M*/
913 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz)                        \
914   PetscMacroReturnStandard(                                                                    \
915     PetscCall(ISLocalToGlobalMappingApply(rmap,nrows,rows,rows));                                \
916     PetscCall(ISLocalToGlobalMappingApply(cmap,ncols,cols,cols));                                \
917     for (PetscInt __l=0;__l<nrows;__l++) PetscCall(MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz)); \
918   )
919 
920 /*MC
921    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
922        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
923 
924    Synopsis:
925    #include <petscmat.h>
926    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
927 
928    Not Collective
929 
930    Input Parameters:
931 +  map - the row mapping from local numbering to global numbering
932 .  nrows - the number of rows indicated
933 .  rows - the indices of the rows (these values are mapped to the global values)
934 .  cmap - the column mapping from local to global numbering
935 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
936 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
937 .  dnz - the array that will be passed to the matrix preallocation routines
938 -  onz - the other array passed to the matrix preallocation routines
939 
940    Level: intermediate
941 
942    Notes:
943     See Users-Manual: ch_performance for more details.
944 
945    Do not malloc or free dnz and onz, that is handled internally by these routines
946 
947 .seealso: MatPreallocateEnd(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
948           MatPreallocateBegin(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
949 M*/
950 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz)              \
951   PetscMacroReturnStandard(                                                                    \
952     PetscCall(ISLocalToGlobalMappingApply(rmap,nrows,rows,rows));                                \
953     PetscCall(ISLocalToGlobalMappingApply(cmap,ncols,cols,cols));                                \
954     PetscCall(PetscSortRemoveDupsInt(&ncols,cols));                                              \
955     for (PetscInt __l=0;__l<nrows;__l++) PetscCall(MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz)); \
956   )
957 
958 /*MC
959    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
960        inserted using a local number of the rows and columns
961 
962    Synopsis:
963    #include <petscmat.h>
964    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
965 
966    Not Collective
967 
968    Input Parameters:
969 +  map - the row mapping from local numbering to global numbering
970 .  nrows - the number of rows indicated
971 .  rows - the indices of the rows
972 .  cmap - the column mapping from local to global numbering
973 .  ncols - the number of columns in the matrix
974 .  cols - the columns indicated
975 .  dnz - the array that will be passed to the matrix preallocation routines
976 -  onz - the other array passed to the matrix preallocation routines
977 
978    Level: intermediate
979 
980    Notes:
981     See Users-Manual: ch_performance for more details.
982 
983    Do not malloc or free dnz and onz, that is handled internally by these routines
984 
985 .seealso: MatPreallocateEnd(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
986           MatPreallocateBegin(), MatPreallocateSymmetricSetLocalBlock()
987 M*/
988 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz)                   \
989   PetscMacroReturnStandard(                                                                    \
990     PetscCall(ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows));                           \
991     PetscCall(ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols));                           \
992     for (PetscInt __l=0;__l<nrows;__l++) PetscCall(MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz)); \
993   )
994 
995 /*MC
996    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
997        inserted using a local number of the rows and columns
998 
999    Synopsis:
1000    #include <petscmat.h>
1001    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1002 
1003    Not Collective
1004 
1005    Input Parameters:
1006 +  map - the mapping between local numbering and global numbering
1007 .  nrows - the number of rows indicated
1008 .  rows - the indices of the rows
1009 .  ncols - the number of columns in the matrix
1010 .  cols - the columns indicated
1011 .  dnz - the array that will be passed to the matrix preallocation routines
1012 -  onz - the other array passed to the matrix preallocation routines
1013 
1014    Level: intermediate
1015 
1016    Notes:
1017     See Users-Manual: ch_performance for more details.
1018 
1019    Do not malloc or free dnz and onz that is handled internally by these routines
1020 
1021 .seealso: MatPreallocateEnd(), MatPreallocateSet()
1022           MatPreallocateBegin(),  MatPreallocateSetLocal()
1023 M*/
1024 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz)                \
1025   PetscMacroReturnStandard(                                                                    \
1026     PetscCall(ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows));                            \
1027     PetscCall(ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols));                            \
1028     for (PetscInt __l=0;__l<nrows;__l++) PetscCall(MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz)); \
1029   )
1030 
1031 /*MC
1032    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1033        inserted using a local number of the rows and columns
1034 
1035    Synopsis:
1036    #include <petscmat.h>
1037    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1038 
1039    Not Collective
1040 
1041    Input Parameters:
1042 +  row - the row
1043 .  ncols - the number of columns in the matrix
1044 -  cols - the columns indicated
1045 
1046    Output Parameters:
1047 +  dnz - the array that will be passed to the matrix preallocation routines
1048 -  onz - the other array passed to the matrix preallocation routines
1049 
1050    Level: intermediate
1051 
1052    Notes:
1053     See Users-Manual: ch_performance for more details.
1054 
1055    Do not malloc or free dnz and onz that is handled internally by these routines
1056 
1057    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1058 
1059 .seealso: MatPreallocateEnd(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
1060           MatPreallocateBegin(), MatPreallocateSetLocal()
1061 M*/
1062 #define MatPreallocateSet(row,nc,cols,dnz,onz) PetscMacroReturnStandard(                       \
1063     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); \
1064     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); \
1065     for (PetscInt __i = 0; __i < nc; ++__i) {                                                  \
1066       if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++;                \
1067       else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;                           \
1068     }                                                                                          \
1069   )
1070 
1071 /*MC
1072    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1073        inserted using a local number of the rows and columns
1074 
1075    Synopsis:
1076    #include <petscmat.h>
1077    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1078 
1079    Not Collective
1080 
1081    Input Parameters:
1082 +  nrows - the number of rows indicated
1083 .  rows - the indices of the rows
1084 .  ncols - the number of columns in the matrix
1085 .  cols - the columns indicated
1086 .  dnz - the array that will be passed to the matrix preallocation routines
1087 -  onz - the other array passed to the matrix preallocation routines
1088 
1089    Level: intermediate
1090 
1091    Notes:
1092     See Users-Manual: ch_performance for more details.
1093 
1094    Do not malloc or free dnz and onz that is handled internally by these routines
1095 
1096    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1097 
1098 .seealso: MatPreallocateEnd(), MatPreallocateSet(),  MatPreallocateBegin(),
1099           MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
1100 M*/
1101 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz)                                   \
1102   PetscMacroReturnStandard(                                                                    \
1103     for (PetscInt __i=0; __i<nc; __i++) {                                                      \
1104       if (cols[__i] >= __end) onz[row - __rstart]++;                                           \
1105       else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;       \
1106     }                                                                                          \
1107   )
1108 
1109 /*MC
1110    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1111 
1112    Synopsis:
1113    #include <petscmat.h>
1114    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1115 
1116    Not Collective
1117 
1118    Input Parameters:
1119 +  A - matrix
1120 .  row - row where values exist (must be local to this process)
1121 .  ncols - number of columns
1122 .  cols - columns with nonzeros
1123 .  dnz - the array that will be passed to the matrix preallocation routines
1124 -  onz - the other array passed to the matrix preallocation routines
1125 
1126    Level: intermediate
1127 
1128    Notes:
1129     See Users-Manual: ch_performance for more details.
1130 
1131    Do not malloc or free dnz and onz that is handled internally by these routines
1132 
1133    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
1134 
1135 .seealso: MatPreallocateBegin(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1136           MatPreallocateSymmetricSetLocalBlock()
1137 M*/
1138 #define MatPreallocateLocation(A,row,ncols,cols,dnz,onz)  (A ? MatSetValues(A,1,&row,ncols,cols,NULL,INSERT_VALUES) : MatPreallocateSet(row,ncols,cols,dnz,onz))
1139 
1140 /*MC
1141    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1142        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1143 
1144    Synopsis:
1145    #include <petscmat.h>
1146    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)
1147 
1148    Collective
1149 
1150    Input Parameters:
1151 +  dnz - the array that was be passed to the matrix preallocation routines
1152 -  onz - the other array passed to the matrix preallocation routines
1153 
1154    Level: intermediate
1155 
1156    Notes:
1157     This is a macro that handles its own error checking, it does not return an error code.
1158 
1159     See Users-Manual: ch_performance for more details.
1160 
1161     Do not malloc or free dnz and onz, that is handled internally by these routines
1162 
1163    Developer Notes:
1164     This is a MACRO not a function because it closes the { started in MatPreallocateBegin().
1165 
1166 .seealso: MatPreallocateBegin(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1167           MatPreallocateSymmetricSetLocalBlock()
1168 M*/
1169 #define MatPreallocateEnd(dnz,onz) PetscCall(PetscFree2(dnz,onz));} while (0)
1170 
1171 #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateEnd() (since version 3.18)\"") MatPreallocateEnd(__VA_ARGS__)
1172 
1173 /* Routines unique to particular data structures */
1174 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
1175 
1176 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
1177 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1178 
1179 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1180 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1181 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1182 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1183 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1184 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
1185 
1186 #define MAT_SKIP_ALLOCATION -4
1187 
1188 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1189 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1190 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1191 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat,PetscInt);
1192 
1193 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1194 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1195 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1196 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1197 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1198 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1199 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1200 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1201 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat,Mat*);
1202 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1203 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1204 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1205 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1206 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1207 
1208 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat,PetscInt*);
1209 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat,PetscInt);
1210 PETSC_DEPRECATED_FUNCTION("Use MatDenseSetLDA() (since version 3.14)") static inline PetscErrorCode MatSeqDenseSetLDA(Mat A,PetscInt lda) {return MatDenseSetLDA(A,lda);}
1211 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1212 
1213 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1214 
1215 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1216 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1217 
1218 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1219 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1220 /*
1221   These routines are not usually accessed directly, rather solving is
1222   done through the KSP and PC interfaces.
1223 */
1224 
1225 /*J
1226     MatOrderingType - String with the name of a PETSc matrix ordering
1227 
1228    Level: beginner
1229 
1230    Notes:
1231       If MATORDERINGEXTERNAL is used then PETSc does not compute an ordering and utilizes one built into the factorization package
1232 
1233 .seealso: MatGetOrdering()
1234 J*/
1235 typedef const char* MatOrderingType;
1236 #define MATORDERINGNATURAL        "natural"
1237 #define MATORDERINGND             "nd"
1238 #define MATORDERING1WD            "1wd"
1239 #define MATORDERINGRCM            "rcm"
1240 #define MATORDERINGQMD            "qmd"
1241 #define MATORDERINGROWLENGTH      "rowlength"
1242 #define MATORDERINGWBM            "wbm"
1243 #define MATORDERINGSPECTRAL       "spectral"
1244 #define MATORDERINGAMD            "amd"            /* only works if UMFPACK is installed with PETSc */
1245 #define MATORDERINGMETISND        "metisnd"        /* only works if METIS is installed with PETSc */
1246 #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 */
1247 #define MATORDERINGEXTERNAL       "external"       /* uses an ordering type internal to the factorization package */
1248 
1249 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1250 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1251 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1252 PETSC_EXTERN PetscFunctionList MatOrderingList;
1253 
1254 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1255 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1256 
1257 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat,MatFactorType,MatOrderingType*);
1258 
1259 /*S
1260     MatFactorShiftType - Numeric Shift for factorizations
1261 
1262    Level: beginner
1263 
1264 .seealso: MatGetFactor()
1265 S*/
1266 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1267 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1268 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1269 
1270 /*S
1271     MatFactorError - indicates what type of error was generated in a matrix factorization
1272 
1273     Level: beginner
1274 
1275     Developer Notes:
1276     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1277 
1278 .seealso: MatGetFactor()
1279 S*/
1280 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1281 
1282 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1283 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1284 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1285 
1286 /*S
1287    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1288 
1289    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1290 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1291 
1292    Notes:
1293     These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1294 
1295       You can use MatFactorInfoInitialize() to set default values.
1296 
1297    Level: developer
1298 
1299 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1300           MatFactorInfoInitialize()
1301 
1302 S*/
1303 typedef struct {
1304   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1305   PetscReal     usedt;
1306   PetscReal     dt;             /* drop tolerance */
1307   PetscReal     dtcol;          /* tolerance for pivoting */
1308   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1309   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1310   PetscReal     levels;         /* ICC/ILU(levels) */
1311   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1312                                    factorization may be faster if do not pivot */
1313   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1314   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1315   PetscReal     shiftamount;     /* how large the shift is */
1316 } MatFactorInfo;
1317 
1318 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1319 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1320 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1321 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1322 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1323 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1324 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1325 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1326 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1327 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1328 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1329 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat,IS,const MatFactorInfo*);
1330 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1331 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat,Mat,const MatFactorInfo*);
1332 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1333 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1334 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1335 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1336 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1337 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1338 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1339 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1340 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1341 
1342 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1343 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1344 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1345 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1346 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1347 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1348 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1349 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1350 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1351 
1352 /*E
1353     MatSORType - What type of (S)SOR to perform
1354 
1355     Level: beginner
1356 
1357    May be bitwise ORd together
1358 
1359    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1360 
1361    MatSORType may be bitwise ORd together, so do not change the numbers
1362 
1363 .seealso: MatSOR()
1364 E*/
1365 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1366               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1367               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1368               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1369 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1370 
1371 /*
1372     These routines are for efficiently computing Jacobians via finite differences.
1373 */
1374 
1375 /*S
1376      MatColoring - Object for managing the coloring of matrices.
1377 
1378    Level: beginner
1379 
1380     Notes:
1381        Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the MatColoring object or from the mesh from which the
1382        matrix comes from via DMCreateColoring(). In general using the mesh produces a more optimal coloring (fewer colors).
1383 
1384        Once a coloring is available MatFDColoringCreate() creates an object that can be used to efficiently compute Jacobians using that coloring. This
1385        same object can also be used to efficiently convert data created by Automatic Differentation tools to PETSc sparse matrices.
1386 
1387 .seealso:  MatFDColoringCreate(), MatColoringWeightType, ISColoring, MatFDColoring, DMCreateColoring(), MatColoringCreate(), MatOrdering, MatPartitioning, MatColoringType
1388 S*/
1389 typedef struct _p_MatColoring* MatColoring;
1390 
1391 /*J
1392     MatColoringType - String with the name of a PETSc matrix coloring
1393 
1394    Level: beginner
1395 
1396 .seealso: MatColoringSetType(), MatColoring
1397 J*/
1398 typedef const  char*           MatColoringType;
1399 #define MATCOLORINGJP      "jp"
1400 #define MATCOLORINGPOWER   "power"
1401 #define MATCOLORINGNATURAL "natural"
1402 #define MATCOLORINGSL      "sl"
1403 #define MATCOLORINGLF      "lf"
1404 #define MATCOLORINGID      "id"
1405 #define MATCOLORINGGREEDY  "greedy"
1406 
1407 /*E
1408    MatColoringWeightType - Type of weight scheme
1409 
1410     Not Collective
1411 
1412 +   MAT_COLORING_RANDOM  - Random weights
1413 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1414 -   MAT_COLORING_LF      - Last-first weighting.
1415 
1416     Level: intermediate
1417 
1418    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1419 
1420 .seealso: MatColoring, MatColoringCreate()
1421 E*/
1422 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1423 
1424 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1425 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1426 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1427 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1428 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1429 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1430 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1431 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1432 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1433 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1434 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1435 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1436 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1437 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1438 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1439 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1440 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring,ISColoring);
1441 PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring,ISColoring iscoloring) {return MatColoringTest(matcoloring,iscoloring);}
1442 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat,ISColoring);
1443 
1444 /*S
1445      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1446         and coloring
1447 
1448    Level: beginner
1449 
1450    Notes:
1451       This object is creating utilizing a coloring provided by the MatColoring object or DMCreateColoring()
1452 
1453 .seealso:  MatFDColoringCreate(), MatColoring, DMCreateColoring()
1454 S*/
1455 typedef struct _p_MatFDColoring* MatFDColoring;
1456 
1457 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1458 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1459 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1460 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1461 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1462 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1463 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1464 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1465 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1466 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1467 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1468 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1469 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat,MatFDColoring,const PetscScalar*);
1470 
1471 /*S
1472      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1473 
1474    Level: beginner
1475 
1476 .seealso:  MatTransposeColoringCreate()
1477 S*/
1478 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1479 
1480 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1481 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1482 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1483 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1484 
1485 /*
1486     These routines are for partitioning matrices: currently used only
1487   for adjacency matrix, MatCreateMPIAdj().
1488 */
1489 
1490 /*S
1491      MatPartitioning - Object for managing the partitioning of a matrix or graph
1492 
1493    Level: beginner
1494 
1495    Notes:
1496      There is also a PetscPartitioner object that provides the same functionality. It can utilize the MatPartitioning operations
1497      via PetscPartitionerSetType(p,PETSCPARTITIONERMATPARTITIONING)
1498 
1499    Developers Note:
1500      It is an extra maintainance and documentation cost to have two objects with the same functionality.
1501 
1502 .seealso:  MatPartitioningCreate(), MatPartitioningType, MatColoring, MatGetOrdering()
1503 S*/
1504 typedef struct _p_MatPartitioning* MatPartitioning;
1505 
1506 /*J
1507     MatPartitioningType - String with the name of a PETSc matrix partitioning
1508 
1509    Level: beginner
1510 dm
1511 .seealso: MatPartitioningCreate(), MatPartitioning
1512 J*/
1513 typedef const char* MatPartitioningType;
1514 #define MATPARTITIONINGCURRENT  "current"
1515 #define MATPARTITIONINGAVERAGE   "average"
1516 #define MATPARTITIONINGSQUARE   "square"
1517 #define MATPARTITIONINGPARMETIS "parmetis"
1518 #define MATPARTITIONINGCHACO    "chaco"
1519 #define MATPARTITIONINGPARTY    "party"
1520 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1521 #define MATPARTITIONINGHIERARCH  "hierarch"
1522 
1523 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1524 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1525 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1526 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1527 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1528 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1529 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning,PetscBool);
1530 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning,PetscBool*);
1531 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1532 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning,IS*);
1533 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning,IS);
1534 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning,IS*);
1535 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1536 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1537 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1538 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning,PetscObject,const char[]);
1539 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1540 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1541 
1542 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1543 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1544 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1545 
1546 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1547 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1548 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1549 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1550 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1551 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1552 
1553 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1554 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1555 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1556 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1557 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1558 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1559 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1560 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1561 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1562 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1563 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1564 
1565 #define MP_PARTY_OPT "opt"
1566 #define MP_PARTY_LIN "lin"
1567 #define MP_PARTY_SCA "sca"
1568 #define MP_PARTY_RAN "ran"
1569 #define MP_PARTY_GBF "gbf"
1570 #define MP_PARTY_GCF "gcf"
1571 #define MP_PARTY_BUB "bub"
1572 #define MP_PARTY_DEF "def"
1573 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1574 #define MP_PARTY_HELPFUL_SETS "hs"
1575 #define MP_PARTY_KERNIGHAN_LIN "kl"
1576 #define MP_PARTY_NONE "no"
1577 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1578 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1579 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1580 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1581 
1582 typedef enum { MP_PTSCOTCH_DEFAULT,MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1583 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1584 
1585 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1586 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1587 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1588 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1589 
1590 /*
1591  * hierarchical partitioning
1592  */
1593 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1594 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1595 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1596 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1597 
1598 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1599 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1600 
1601 /*
1602     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1603     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1604 */
1605 typedef enum { MATOP_SET_VALUES=0,
1606                MATOP_GET_ROW=1,
1607                MATOP_RESTORE_ROW=2,
1608                MATOP_MULT=3,
1609                MATOP_MULT_ADD=4,
1610                MATOP_MULT_TRANSPOSE=5,
1611                MATOP_MULT_TRANSPOSE_ADD=6,
1612                MATOP_SOLVE=7,
1613                MATOP_SOLVE_ADD=8,
1614                MATOP_SOLVE_TRANSPOSE=9,
1615                MATOP_SOLVE_TRANSPOSE_ADD=10,
1616                MATOP_LUFACTOR=11,
1617                MATOP_CHOLESKYFACTOR=12,
1618                MATOP_SOR=13,
1619                MATOP_TRANSPOSE=14,
1620                MATOP_GETINFO=15,
1621                MATOP_EQUAL=16,
1622                MATOP_GET_DIAGONAL=17,
1623                MATOP_DIAGONAL_SCALE=18,
1624                MATOP_NORM=19,
1625                MATOP_ASSEMBLY_BEGIN=20,
1626                MATOP_ASSEMBLY_END=21,
1627                MATOP_SET_OPTION=22,
1628                MATOP_ZERO_ENTRIES=23,
1629                MATOP_ZERO_ROWS=24,
1630                MATOP_LUFACTOR_SYMBOLIC=25,
1631                MATOP_LUFACTOR_NUMERIC=26,
1632                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1633                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1634                MATOP_SETUP_PREALLOCATION=29,
1635                MATOP_ILUFACTOR_SYMBOLIC=30,
1636                MATOP_ICCFACTOR_SYMBOLIC=31,
1637                MATOP_GET_DIAGONAL_BLOCK=32,
1638                MATOP_FREE_INTER_STRUCT=33,
1639                MATOP_DUPLICATE=34,
1640                MATOP_FORWARD_SOLVE=35,
1641                MATOP_BACKWARD_SOLVE=36,
1642                MATOP_ILUFACTOR=37,
1643                MATOP_ICCFACTOR=38,
1644                MATOP_AXPY=39,
1645                MATOP_CREATE_SUBMATRICES=40,
1646                MATOP_INCREASE_OVERLAP=41,
1647                MATOP_GET_VALUES=42,
1648                MATOP_COPY=43,
1649                MATOP_GET_ROW_MAX=44,
1650                MATOP_SCALE=45,
1651                MATOP_SHIFT=46,
1652                MATOP_DIAGONAL_SET=47,
1653                MATOP_ZERO_ROWS_COLUMNS=48,
1654                MATOP_SET_RANDOM=49,
1655                MATOP_GET_ROW_IJ=50,
1656                MATOP_RESTORE_ROW_IJ=51,
1657                MATOP_GET_COLUMN_IJ=52,
1658                MATOP_RESTORE_COLUMN_IJ=53,
1659                MATOP_FDCOLORING_CREATE=54,
1660                MATOP_COLORING_PATCH=55,
1661                MATOP_SET_UNFACTORED=56,
1662                MATOP_PERMUTE=57,
1663                MATOP_SET_VALUES_BLOCKED=58,
1664                MATOP_CREATE_SUBMATRIX=59,
1665                MATOP_DESTROY=60,
1666                MATOP_VIEW=61,
1667                MATOP_CONVERT_FROM=62,
1668                MATOP_MATMAT_MULT=63,
1669                MATOP_MATMAT_MULT_SYMBOLIC=64,
1670                MATOP_MATMAT_MULT_NUMERIC=65,
1671                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1672                MATOP_SET_VALUES_LOCAL=67,
1673                MATOP_ZERO_ROWS_LOCAL=68,
1674                MATOP_GET_ROW_MAX_ABS=69,
1675                MATOP_GET_ROW_MIN_ABS=70,
1676                MATOP_CONVERT=71,
1677                MATOP_SET_COLORING=72,
1678                /* MATOP_PLACEHOLDER_73=73, */
1679                MATOP_SET_VALUES_ADIFOR=74,
1680                MATOP_FD_COLORING_APPLY=75,
1681                MATOP_SET_FROM_OPTIONS=76,
1682                MATOP_MULT_CONSTRAINED=77,
1683                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1684                MATOP_FIND_ZERO_DIAGONALS=79,
1685                MATOP_MULT_MULTIPLE=80,
1686                MATOP_SOLVE_MULTIPLE=81,
1687                MATOP_GET_INERTIA=82,
1688                MATOP_LOAD=83,
1689                MATOP_IS_SYMMETRIC=84,
1690                MATOP_IS_HERMITIAN=85,
1691                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1692                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1693                MATOP_CREATE_VECS=88,
1694                MATOP_MAT_MULT=89,
1695                MATOP_MAT_MULT_SYMBOLIC=90,
1696                MATOP_MAT_MULT_NUMERIC=91,
1697                MATOP_PTAP=92,
1698                MATOP_PTAP_SYMBOLIC=93,
1699                MATOP_PTAP_NUMERIC=94,
1700                MATOP_MAT_TRANSPOSE_MULT=95,
1701                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1702                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1703                /* MATOP_PLACEHOLDER_98=98, */
1704                MATOP_PRODUCTSETFROMOPTIONS=99,
1705                MATOP_PRODUCTSYMBOLIC=100,
1706                MATOP_PRODUCTNUMERIC=101,
1707                MATOP_CONJUGATE=102,
1708                /* MATOP_PLACEHOLDER_103=103, */
1709                MATOP_SET_VALUES_ROW=104,
1710                MATOP_REAL_PART=105,
1711                MATOP_IMAGINARY_PART=106,
1712                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1713                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1714                MATOP_MAT_SOLVE=109,
1715                MATOP_MAT_SOLVE_TRANSPOSE=110,
1716                MATOP_GET_ROW_MIN=111,
1717                MATOP_GET_COLUMN_VECTOR=112,
1718                MATOP_MISSING_DIAGONAL=113,
1719                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1720                MATOP_CREATE=115,
1721                MATOP_GET_GHOSTS=116,
1722                MATOP_GET_LOCAL_SUB_MATRIX=117,
1723                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1724                MATOP_MULT_DIAGONAL_BLOCK=119,
1725                MATOP_HERMITIAN_TRANSPOSE=120,
1726                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1727                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1728                MATOP_GET_MULTI_PROC_BLOCK=123,
1729                MATOP_FIND_NONZERO_ROWS=124,
1730                MATOP_GET_COLUMN_NORMS=125,
1731                MATOP_INVERT_BLOCK_DIAGONAL=126,
1732                /* MATOP_PLACEHOLDER_127=127, */
1733                MATOP_CREATE_SUB_MATRICES_MPI=128,
1734                MATOP_SET_VALUES_BATCH=129,
1735                MATOP_TRANSPOSE_MAT_MULT=130,
1736                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1737                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1738                MATOP_TRANSPOSE_COLORING_CREAT=133,
1739                MATOP_TRANS_COLORING_APPLY_SPT=134,
1740                MATOP_TRANS_COLORING_APPLY_DEN=135,
1741                MATOP_RART=136,
1742                MATOP_RART_SYMBOLIC=137,
1743                MATOP_RART_NUMERIC=138,
1744                MATOP_SET_BLOCK_SIZES=139,
1745                MATOP_AYPX=140,
1746                MATOP_RESIDUAL=141,
1747                MATOP_FDCOLORING_SETUP=142,
1748                MATOP_MPICONCATENATESEQ=144,
1749                MATOP_DESTROYSUBMATRICES=145,
1750                MATOP_TRANSPOSE_SOLVE=146,
1751                MATOP_GET_VALUES_LOCAL=147
1752              } MatOperation;
1753 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat,MatOperation,void(*)(void));
1754 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat,MatOperation,void(**)(void));
1755 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool*);
1756 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat,PetscBool*);
1757 PETSC_DEPRECATED_FUNCTION("Use MatProductClear() (since version 3.14)") static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A) {return MatProductClear(A);}
1758 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1759 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1760 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1761 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat,VecType);
1762 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1763 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1764 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1765 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat,MatProductType,PetscErrorCode (*)(Mat,Mat,Mat,void**),PetscErrorCode (*)(Mat,Mat,Mat,void*),PetscErrorCode (*)(void*),MatType,MatType);
1766 PETSC_EXTERN PetscErrorCode MatIsShell(Mat,PetscBool*);
1767 
1768 /*
1769    Codes for matrices stored on disk. By default they are
1770    stored in a universal format. By changing the format with
1771    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1772    be stored in a way natural for the matrix, for example dense matrices
1773    would be stored as dense. Matrices stored this way may only be
1774    read into matrices of the same type.
1775 */
1776 #define MATRIX_BINARY_FORMAT_DENSE -1
1777 
1778 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1779 
1780 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat,MatType);
1781 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1782 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat,PetscBool);
1783 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat,PetscBool);
1784 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1785 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1786 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1787 PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
1788 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1789 
1790 /*S
1791      MatNullSpace - Object that removes a null space from a vector, i.e.
1792          orthogonalizes the vector to a subspace
1793 
1794    Level: advanced
1795 
1796 .seealso:  MatNullSpaceCreate()
1797 S*/
1798 typedef struct _p_MatNullSpace* MatNullSpace;
1799 
1800 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1801 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1802 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1803 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1804 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1805 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1806 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1807 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1808 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1809 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1810 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1811 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1812 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1813 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1814 
1815 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1816 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1817 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1818 
1819 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1820 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1821 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1822 
1823 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat,MatType,Mat*);
1824 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat,MatType,Mat*);
1825 
1826 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperator(Mat A,Mat* B) { return MatComputeOperator(A,NULL,B); }
1827 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A,Mat* B) { return MatComputeOperatorTranspose(A,NULL,B); }
1828 
1829 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat,PetscInt,PetscInt,const PetscScalar[],const PetscScalar[],Mat*);
1830 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat,Mat*);
1831 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat,PetscInt*,PetscInt*,PetscScalar**);
1832 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1833 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat,PetscScalar**);
1834 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat,const PetscScalar**);
1835 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat,PetscInt*,PetscInt*,PetscScalar**);
1836 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1837 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat,PetscScalar**);
1838 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat,const PetscScalar**);
1839 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat,Mat);
1840 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat,PetscInt,PetscInt,const PetscScalar[]);
1841 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat,PetscInt,PetscInt,const PetscScalar[]);
1842 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat,PetscBool*);
1843 
1844 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1845 
1846 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1847 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1848 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1849 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1850 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1851 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1852 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1853 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1854 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1855 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1856 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1857 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1858 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1859 
1860 /*S
1861     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1862               Jacobian vector products
1863 
1864     Notes:
1865     MATMFFD is a specific MatType which uses the MatMFFD data structure
1866 
1867            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1868 
1869     Level: developer
1870 
1871 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1872 S*/
1873 typedef struct _p_MatMFFD* MatMFFD;
1874 
1875 /*J
1876     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1877 
1878    Level: beginner
1879 
1880 .seealso: MatMFFDSetType(), MatMFFDRegister()
1881 J*/
1882 typedef const char* MatMFFDType;
1883 #define MATMFFD_DS  "ds"
1884 #define MATMFFD_WP  "wp"
1885 
1886 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1887 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1888 
1889 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1890 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool);
1891 
1892 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1893 
1894 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1895 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1896 
1897 #ifdef PETSC_HAVE_H2OPUS
1898 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatH2OpusKernel)(PetscInt,PetscReal[],PetscReal[],void*);
1899 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscReal[],PetscBool,MatH2OpusKernel,void*,PetscReal,PetscInt,PetscInt,Mat*);
1900 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat,PetscInt,const PetscReal[],PetscBool,PetscReal,PetscInt,PetscInt,PetscInt,PetscReal,Mat*);
1901 PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat,Mat,PetscInt,PetscReal);
1902 PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
1903 PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat,PetscReal);
1904 PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat,PetscBool);
1905 PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat,PetscBool*);
1906 PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat,IS*);
1907 PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat,PetscBool,Vec,Vec*);
1908 PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat,Mat,Mat,PetscScalar);
1909 #endif
1910 
1911 #ifdef PETSC_HAVE_HTOOL
1912 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatHtoolKernel)(PetscInt,PetscInt,PetscInt,const PetscInt*,const PetscInt*,PetscScalar*,void*);
1913 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscReal[],const PetscReal[],MatHtoolKernel,void*,Mat*);
1914 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat,MatHtoolKernel,void*);
1915 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat,IS*);
1916 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat,IS*);
1917 PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat,PetscBool);
1918 /*E
1919      MatHtoolCompressorType - Indicates the type of compressor used by a MATHTOOL
1920 
1921    Level: beginner
1922 
1923     Values:
1924 +   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA (default) - symmetric partial adaptive cross approximation
1925 .   MAT_HTOOL_COMPRESSOR_FULL_ACA - full adaptive cross approximation
1926 -   MAT_HTOOL_COMPRESSOR_SVD - singular value decomposition
1927 
1928 .seealso: MatCreateHtoolFromKernel(), MATHTOOL, MatHtoolClusteringType
1929 E*/
1930 typedef enum { MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA, MAT_HTOOL_COMPRESSOR_FULL_ACA, MAT_HTOOL_COMPRESSOR_SVD } MatHtoolCompressorType;
1931 /*E
1932      MatHtoolClusteringType - Indicates the type of clustering used by a MATHTOOL
1933 
1934    Level: beginner
1935 
1936     Values:
1937 +   MAT_HTOOL_CLUSTERING_PCA_REGULAR (default) - axis computed via principle component analysis, split uniformly
1938 .   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC - axis computed via principle component analysis, split barycentrically
1939 .   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR - axis along the largest extent of the bounding box, split uniformly
1940 -   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC - axis along the largest extent of the bounding box, split barycentrically
1941 
1942     Notes: higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
1943 
1944 .seealso: MatCreateHtoolFromKernel(), MATHTOOL, MatHtoolCompressorType
1945 E*/
1946 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;
1947 #endif
1948 
1949 /*
1950    PETSc interface to MUMPS
1951 */
1952 #ifdef PETSC_HAVE_MUMPS
1953 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1954 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1955 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1956 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1957 
1958 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1959 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1960 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1961 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1962 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat,Mat);
1963 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat,Mat);
1964 #endif
1965 
1966 /*
1967    PETSc interface to Mkl_Pardiso
1968 */
1969 #ifdef PETSC_HAVE_MKL_PARDISO
1970 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1971 #endif
1972 
1973 /*
1974    PETSc interface to Mkl_CPardiso
1975 */
1976 #ifdef PETSC_HAVE_MKL_CPARDISO
1977 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1978 #endif
1979 
1980 /*
1981    PETSc interface to SUPERLU
1982 */
1983 #ifdef PETSC_HAVE_SUPERLU
1984 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1985 #endif
1986 
1987 /*
1988    PETSc interface to SUPERLU_DIST
1989 */
1990 #ifdef PETSC_HAVE_SUPERLU_DIST
1991 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1992 #endif
1993 
1994 /*
1995    PETSc interface to STRUMPACK
1996 */
1997 #ifdef PETSC_HAVE_STRUMPACK
1998 /*E
1999     MatSTRUMPACKReordering - sparsity reducing ordering to be used in STRUMPACK
2000 
2001     Level: intermediate
2002 E*/
2003 typedef enum {MAT_STRUMPACK_NATURAL=0,
2004               MAT_STRUMPACK_METIS=1,
2005               MAT_STRUMPACK_PARMETIS=2,
2006               MAT_STRUMPACK_SCOTCH=3,
2007               MAT_STRUMPACK_PTSCOTCH=4,
2008               MAT_STRUMPACK_RCM=5} MatSTRUMPACKReordering;
2009 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat,MatSTRUMPACKReordering);
2010 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
2011 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat,PetscReal);
2012 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat,PetscReal rtol) {return MatSTRUMPACKSetHSSRelTol(mat,rtol);}
2013 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat,PetscReal);
2014 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat,PetscInt);
2015 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat,PetscInt hssminsize) {return MatSTRUMPACKSetHSSMinSepSize(mat,hssminsize);}
2016 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat,PetscInt);
2017 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat,PetscInt);
2018 #endif
2019 
2020 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat,PetscBool);
2021 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat,PetscBool*);
2022 PETSC_DEPRECATED_FUNCTION("Use MatBindToCPU (since v3.13)") static inline PetscErrorCode MatPinToCPU(Mat A,PetscBool flg) {return MatBindToCPU(A,flg);}
2023 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat,PetscBool);
2024 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat,PetscBool *);
2025 
2026 typedef struct _n_SplitCSRMat *PetscSplitCSRDataStructure;
2027 PETSC_EXTERN PetscErrorCode MatCUSPARSEGetDeviceMatWrite(Mat,PetscSplitCSRDataStructure*);
2028 
2029 #ifdef PETSC_HAVE_KOKKOS_KERNELS
2030 PETSC_EXTERN PetscErrorCode MatKokkosGetDeviceMatWrite(Mat,PetscSplitCSRDataStructure*);
2031 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosSetDeviceMat(Mat,PetscSplitCSRDataStructure);
2032 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosGetDeviceMat(Mat,PetscSplitCSRDataStructure*);
2033 #endif
2034 
2035 #ifdef PETSC_HAVE_CUDA
2036 /*E
2037     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
2038     matrices.
2039 
2040     Not Collective
2041 
2042 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
2043 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
2044 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2045 
2046     Level: intermediate
2047 
2048    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
2049 
2050 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
2051 E*/
2052 
2053 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
2054 
2055 /* these will be strings associated with enumerated type defined above */
2056 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2057 
2058 /*E
2059     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
2060     matrices whose operation should use a particular storage format.
2061 
2062     Not Collective
2063 
2064 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
2065 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
2066 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
2067 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
2068 
2069     Level: intermediate
2070 
2071 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
2072 E*/
2073 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
2074 
2075 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
2076 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
2077 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
2078 PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat,PetscBool);
2079 typedef struct Mat_SeqAIJCUSPARSETriFactors* Mat_SeqAIJCUSPARSETriFactors_p;
2080 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat,PetscBool,const int**,const int**);
2081 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat,PetscBool,const int**,const int**);
2082 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat,const PetscScalar**);
2083 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat,const PetscScalar**);
2084 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat,PetscScalar**);
2085 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat,PetscScalar**);
2086 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat,PetscScalar**);
2087 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat,PetscScalar**);
2088 
2089 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
2090 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
2091 PETSC_EXTERN PetscErrorCode MatMPIDenseCUDASetPreallocation(Mat,PetscScalar[]);
2092 PETSC_EXTERN PetscErrorCode MatSeqDenseCUDASetPreallocation(Mat,PetscScalar[]);
2093 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat,PetscScalar**);
2094 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat,const PetscScalar**);
2095 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat,PetscScalar**);
2096 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat,PetscScalar**);
2097 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat,const PetscScalar**);
2098 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat,PetscScalar**);
2099 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat,const PetscScalar*);
2100 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat,const PetscScalar*);
2101 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2102 
2103 #endif
2104 
2105 #if defined(PETSC_HAVE_VIENNACL)
2106 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
2107 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
2108 #endif
2109 
2110 /*
2111    PETSc interface to FFTW
2112 */
2113 #if defined(PETSC_HAVE_FFTW)
2114 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
2115 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
2116 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
2117 #endif
2118 
2119 #if defined(PETSC_HAVE_SCALAPACK)
2120 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
2121 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat,PetscInt,PetscInt);
2122 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat,PetscInt*,PetscInt*);
2123 #endif
2124 
2125 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
2126 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
2127 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
2128 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
2129 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
2130 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
2131 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
2132 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
2133 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
2134 
2135 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
2136 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
2137 
2138 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
2139 
2140 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
2141 
2142 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
2143 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
2144 
2145 PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat,const PetscInt**,const PetscInt**,PetscScalar**,PetscMemType*);
2146 #endif
2147