xref: /petsc/include/petscmat.h (revision 717e37fc5dfcda9a52ebca020e67c0ba4d56e8af)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #ifndef __PETSCMAT_H
5 #define __PETSCMAT_H
6 #include "petscvec.h"
7 PETSC_EXTERN_CXX_BEGIN
8 
9 /*S
10      Mat - Abstract PETSc matrix object
11 
12    Level: beginner
13 
14   Concepts: matrix; linear operator
15 
16 .seealso:  MatCreate(), MatType, MatSetType()
17 S*/
18 typedef struct _p_Mat*           Mat;
19 
20 /*E
21     MatType - String with the name of a PETSc matrix or the creation function
22        with an optional dynamic library name, for example
23        http://www.mcs.anl.gov/petsc/lib.a:mymatcreate()
24 
25    Level: beginner
26 
27 .seealso: MatSetType(), Mat, MatSolverPackage
28 E*/
29 #define MatType char*
30 #define MATSAME            "same"
31 #define MATMAIJ            "maij"
32 #define MATSEQMAIJ         "seqmaij"
33 #define MATMPIMAIJ         "mpimaij"
34 #define MATIS              "is"
35 #define MATAIJ             "aij"
36 #define MATSEQAIJ          "seqaij"
37 #define MATSEQAIJPTHREAD   "seqaijpthread"
38 #define MATAIJPTHREAD      "aijpthread"
39 #define MATMPIAIJ          "mpiaij"
40 #define MATAIJCRL          "aijcrl"
41 #define MATSEQAIJCRL       "seqaijcrl"
42 #define MATMPIAIJCRL       "mpiaijcrl"
43 #define MATAIJCUSP         "aijcusp"
44 #define MATSEQAIJCUSP      "seqaijcusp"
45 #define MATMPIAIJCUSP      "mpiaijcusp"
46 #define MATAIJPERM         "aijperm"
47 #define MATSEQAIJPERM      "seqaijperm"
48 #define MATMPIAIJPERM      "mpiaijperm"
49 #define MATSHELL           "shell"
50 #define MATDENSE           "dense"
51 #define MATSEQDENSE        "seqdense"
52 #define MATMPIDENSE        "mpidense"
53 #define MATBAIJ            "baij"
54 #define MATSEQBAIJ         "seqbaij"
55 #define MATMPIBAIJ         "mpibaij"
56 #define MATMPIADJ          "mpiadj"
57 #define MATSBAIJ           "sbaij"
58 #define MATSEQSBAIJ        "seqsbaij"
59 #define MATMPISBAIJ        "mpisbaij"
60 
61 #define MATSEQBSTRM        "seqbstrm"
62 #define MATMPIBSTRM        "mpibstrm"
63 #define MATBSTRM           "bstrm"
64 #define MATSEQSBSTRM       "seqsbstrm"
65 #define MATMPISBSTRM       "mpisbstrm"
66 #define MATSBSTRM          "sbstrm"
67 
68 #define MATDAAD            "daad"
69 #define MATMFFD            "mffd"
70 #define MATNORMAL          "normal"
71 #define MATLRC             "lrc"
72 #define MATSCATTER         "scatter"
73 #define MATBLOCKMAT        "blockmat"
74 #define MATCOMPOSITE       "composite"
75 #define MATFFT             "fft"
76 #define MATFFTW            "fftw"
77 #define MATSEQCUFFT        "seqcufft"
78 #define MATTRANSPOSEMAT    "transpose"
79 #define MATSCHURCOMPLEMENT "schurcomplement"
80 #define MATPYTHON          "python"
81 #define MATHYPRESTRUCT     "hyprestruct"
82 #define MATHYPRESSTRUCT    "hypresstruct"
83 #define MATSUBMATRIX       "submatrix"
84 #define MATLOCALREF        "localref"
85 #define MATNEST            "nest"
86 
87 /*E
88     MatSolverPackage - String with the name of a PETSc matrix solver type.
89 
90     For example: "petsc" indicates what PETSc provides, "superlu" indicates either
91        SuperLU or SuperLU_Dist etc.
92 
93 
94    Level: beginner
95 
96 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
97 E*/
98 #define MatSolverPackage char*
99 #define MATSOLVERSPOOLES      "spooles"
100 #define MATSOLVERSUPERLU      "superlu"
101 #define MATSOLVERSUPERLU_DIST "superlu_dist"
102 #define MATSOLVERUMFPACK      "umfpack"
103 #define MATSOLVERCHOLMOD      "cholmod"
104 #define MATSOLVERESSL         "essl"
105 #define MATSOLVERLUSOL        "lusol"
106 #define MATSOLVERMUMPS        "mumps"
107 #define MATSOLVERPASTIX       "pastix"
108 #define MATSOLVERDSCPACK      "dscpack"
109 #define MATSOLVERMATLAB       "matlab"
110 #define MATSOLVERPETSC        "petsc"
111 #define MATSOLVERPLAPACK      "plapack"
112 #define MATSOLVERBAS          "bas"
113 
114 #define MATSOLVERBSTRM        "bstrm"
115 #define MATSOLVERSBSTRM       "sbstrm"
116 
117 /*E
118     MatFactorType - indicates what type of factorization is requested
119 
120     Level: beginner
121 
122    Any additions/changes here MUST also be made in include/finclude/petscmat.h
123 
124 .seealso: MatSolverPackage, MatGetFactor()
125 E*/
126 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
127 extern const char *const MatFactorTypes[];
128 
129 extern PetscErrorCode  MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
130 extern PetscErrorCode  MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
131 extern PetscErrorCode  MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
132 extern PetscErrorCode  MatGetFactorType(Mat,MatFactorType*);
133 
134 /* Logging support */
135 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
136 extern PetscClassId  MAT_CLASSID;
137 extern PetscClassId  MAT_FDCOLORING_CLASSID;
138 extern PetscClassId  MAT_PARTITIONING_CLASSID;
139 extern PetscClassId  MAT_NULLSPACE_CLASSID;
140 extern PetscClassId  MATMFFD_CLASSID;
141 
142 /*E
143     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
144      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
145      that the input matrix is to be replaced with the converted matrix.
146 
147     Level: beginner
148 
149    Any additions/changes here MUST also be made in include/finclude/petscmat.h
150 
151 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
152 E*/
153 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX} MatReuse;
154 
155 /*E
156     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
157      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
158 
159     Level: beginner
160 
161 .seealso: MatGetSeqNonzerostructure()
162 E*/
163 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
164 
165 extern PetscErrorCode  MatInitializePackage(const char[]);
166 
167 extern PetscErrorCode  MatCreate(MPI_Comm,Mat*);
168 PetscPolymorphicFunction(MatCreate,(MPI_Comm comm),(comm,&A),Mat,A)
169 PetscPolymorphicFunction(MatCreate,(),(PETSC_COMM_WORLD,&A),Mat,A)
170 extern PetscErrorCode  MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
171 extern PetscErrorCode  MatSetType(Mat,const MatType);
172 extern PetscErrorCode  MatSetFromOptions(Mat);
173 extern PetscErrorCode  MatSetUpPreallocation(Mat);
174 extern PetscErrorCode  MatRegisterAll(const char[]);
175 extern PetscErrorCode  MatRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat));
176 extern PetscErrorCode  MatRegisterBaseName(const char[],const char[],const char[]);
177 extern PetscErrorCode  MatSetOptionsPrefix(Mat,const char[]);
178 extern PetscErrorCode  MatAppendOptionsPrefix(Mat,const char[]);
179 extern PetscErrorCode  MatGetOptionsPrefix(Mat,const char*[]);
180 
181 /*MC
182    MatRegisterDynamic - Adds a new matrix type
183 
184    Synopsis:
185    PetscErrorCode MatRegisterDynamic(const char *name,const char *path,const char *name_create,PetscErrorCode (*routine_create)(Mat))
186 
187    Not Collective
188 
189    Input Parameters:
190 +  name - name of a new user-defined matrix type
191 .  path - path (either absolute or relative) the library containing this solver
192 .  name_create - name of routine to create method context
193 -  routine_create - routine to create method context
194 
195    Notes:
196    MatRegisterDynamic() may be called multiple times to add several user-defined solvers.
197 
198    If dynamic libraries are used, then the fourth input argument (routine_create)
199    is ignored.
200 
201    Sample usage:
202 .vb
203    MatRegisterDynamic("my_mat",/home/username/my_lib/lib/libO/solaris/mylib.a,
204                "MyMatCreate",MyMatCreate);
205 .ve
206 
207    Then, your solver can be chosen with the procedural interface via
208 $     MatSetType(Mat,"my_mat")
209    or at runtime via the option
210 $     -mat_type my_mat
211 
212    Level: advanced
213 
214    Notes: ${PETSC_ARCH} occuring in pathname will be replaced with appropriate values.
215          If your function is not being put into a shared library then use VecRegister() instead
216 
217 .keywords: Mat, register
218 
219 .seealso: MatRegisterAll(), MatRegisterDestroy()
220 
221 M*/
222 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
223 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,0)
224 #else
225 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,d)
226 #endif
227 
228 extern PetscBool  MatRegisterAllCalled;
229 extern PetscFList MatList;
230 extern PetscFList MatColoringList;
231 extern PetscFList MatPartitioningList;
232 
233 /*E
234     MatStructure - Indicates if the matrix has the same nonzero structure
235 
236     Level: beginner
237 
238    Any additions/changes here MUST also be made in include/finclude/petscmat.h
239 
240 .seealso: MatCopy(), KSPSetOperators(), PCSetOperators()
241 E*/
242 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN,SAME_PRECONDITIONER} MatStructure;
243 
244 extern PetscErrorCode  MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
245 extern PetscErrorCode  MatCreateMPIDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
246 extern PetscErrorCode  MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
247 PetscPolymorphicFunction(MatCreateSeqAIJ,(PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[]),(PETSC_COMM_SELF,m,n,nz,nnz,&A),Mat,A)
248 PetscPolymorphicFunction(MatCreateSeqAIJ,(PetscInt m,PetscInt n,PetscInt nz),(PETSC_COMM_SELF,m,n,nz,PETSC_NULL,&A),Mat,A)
249 PetscPolymorphicFunction(MatCreateSeqAIJ,(PetscInt m,PetscInt n,const PetscInt nnz[]),(PETSC_COMM_SELF,m,n,0,nnz,&A),Mat,A)
250 PetscPolymorphicFunction(MatCreateSeqAIJ,(PetscInt m,PetscInt n),(PETSC_COMM_SELF,m,n,0,PETSC_NULL,&A),Mat,A)
251 PetscPolymorphicSubroutine(MatCreateSeqAIJ,(PetscInt m,PetscInt n,PetscInt nz,Mat *A),(PETSC_COMM_SELF,m,n,nz,PETSC_NULL,A))
252 PetscPolymorphicSubroutine(MatCreateSeqAIJ,(PetscInt m,PetscInt n,const PetscInt nnz[],Mat *A),(PETSC_COMM_SELF,m,n,0,nnz,A))
253 PetscPolymorphicSubroutine(MatCreateSeqAIJ,(PetscInt m,PetscInt n,Mat *A),(PETSC_COMM_SELF,m,n,0,PETSC_NULL,A))
254 extern PetscErrorCode  MatCreateMPIAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
255 PetscPolymorphicFunction(MatCreateMPIAIJ,(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,const PetscInt nnz[],PetscInt onz,const PetscInt onnz[]),(comm,m,n,M,N,nz,nnz,onz,onnz,&A),Mat,A)
256 PetscPolymorphicFunction(MatCreateMPIAIJ,(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz),(comm,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,&A),Mat,A)
257 PetscPolymorphicFunction(MatCreateMPIAIJ,(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[]),(comm,m,n,M,N,0,nnz,0,onz,&A),Mat,A)
258 PetscPolymorphicFunction(MatCreateMPIAIJ,(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N),(comm,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,&A),Mat,A)
259 PetscPolymorphicSubroutine(MatCreateMPIAIJ,(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz,Mat *A),(comm,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,A))
260 PetscPolymorphicSubroutine(MatCreateMPIAIJ,(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[],Mat *A),(comm,m,n,M,N,0,nnz,0,onz,A))
261 PetscPolymorphicSubroutine(MatCreateMPIAIJ,(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N,Mat *A),(comm,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,A))
262 PetscPolymorphicFunction(MatCreateMPIAIJ,(PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,const PetscInt nnz[],PetscInt onz,const PetscInt onnz[]),(PETSC_COMM_WORLD,m,n,M,N,nz,nnz,onz,onnz,&A),Mat,A)
263 PetscPolymorphicFunction(MatCreateMPIAIJ,(PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz),(PETSC_COMM_WORLD,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,&A),Mat,A)
264 PetscPolymorphicFunction(MatCreateMPIAIJ,(PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[]),(PETSC_COMM_WORLD,m,n,M,N,0,nnz,0,onz,&A),Mat,A)
265 PetscPolymorphicFunction(MatCreateMPIAIJ,(PetscInt m,PetscInt n,PetscInt M,PetscInt N),(PETSC_COMM_WORLD,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,&A),Mat,A)
266 PetscPolymorphicSubroutine(MatCreateMPIAIJ,(PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz,Mat *A),(PETSC_COMM_WORLD,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,A))
267 PetscPolymorphicSubroutine(MatCreateMPIAIJ,(PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[],Mat *A),(PETSC_COMM_WORLD,m,n,M,N,0,nnz,0,onz,A))
268 PetscPolymorphicSubroutine(MatCreateMPIAIJ,(PetscInt m,PetscInt n,PetscInt M,PetscInt N,Mat *A),(PETSC_COMM_WORLD,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,A))
269 extern PetscErrorCode  MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
270 extern PetscErrorCode  MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
271 
272 extern PetscErrorCode  MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
273 PetscPolymorphicFunction(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[]),(PETSC_COMM_SELF,bs,m,n,nz,nnz,&A),Mat,A)
274 PetscPolymorphicFunction(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz),(PETSC_COMM_SELF,bs,m,n,nz,PETSC_NULL,&A),Mat,A)
275 PetscPolymorphicFunction(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,const PetscInt nnz[]),(PETSC_COMM_SELF,bs,m,n,0,nnz,&A),Mat,A)
276 PetscPolymorphicFunction(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n),(PETSC_COMM_SELF,bs,m,n,0,PETSC_NULL,&A),Mat,A)
277 PetscPolymorphicSubroutine(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,Mat *A),(PETSC_COMM_SELF,bs,m,n,nz,PETSC_NULL,A))
278 PetscPolymorphicSubroutine(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,const PetscInt nnz[],Mat *A),(PETSC_COMM_SELF,bs,m,n,0,nnz,A))
279 PetscPolymorphicSubroutine(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,Mat *A),(PETSC_COMM_SELF,bs,m,n,0,PETSC_NULL,A))
280 extern PetscErrorCode  MatCreateMPIBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
281 PetscPolymorphicFunction(MatCreateMPIBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,const PetscInt nnz[],PetscInt onz,const PetscInt onnz[]),(comm,bs,m,n,M,N,nz,nnz,onz,onnz,&A),Mat,A)
282 PetscPolymorphicFunction(MatCreateMPIBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz),(comm,bs,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,&A),Mat,A)
283 PetscPolymorphicFunction(MatCreateMPIBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[]),(comm,bs,m,n,M,N,0,nnz,0,onz,&A),Mat,A)
284 PetscPolymorphicFunction(MatCreateMPIBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N),(comm,bs,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,&A),Mat,A)
285 PetscPolymorphicSubroutine(MatCreateMPIBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz,Mat *A),(comm,bs,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,A))
286 PetscPolymorphicSubroutine(MatCreateMPIBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[],Mat *A),(comm,bs,m,n,M,N,0,nnz,0,onz,A))
287 PetscPolymorphicSubroutine(MatCreateMPIBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,Mat *A),(comm,bs,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,A))
288 PetscPolymorphicFunction(MatCreateMPIBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,const PetscInt nnz[],PetscInt onz,const PetscInt onnz[]),(PETSC_COMM_WORLD,bs,m,n,M,N,nz,nnz,onz,onnz,&A),Mat,A)
289 PetscPolymorphicFunction(MatCreateMPIBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz),(PETSC_COMM_WORLD,bs,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,&A),Mat,A)
290 PetscPolymorphicFunction(MatCreateMPIBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[]),(PETSC_COMM_WORLD,bs,m,n,M,N,0,nnz,0,onz,&A),Mat,A)
291 PetscPolymorphicFunction(MatCreateMPIBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N),(PETSC_COMM_WORLD,bs,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,&A),Mat,A)
292 PetscPolymorphicSubroutine(MatCreateMPIBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz,Mat *A),(PETSC_COMM_WORLD,bs,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,A))
293 PetscPolymorphicSubroutine(MatCreateMPIBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[],Mat *A),(PETSC_COMM_WORLD,bs,m,n,M,N,0,nnz,0,onz,A))
294 PetscPolymorphicSubroutine(MatCreateMPIBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,Mat *A),(PETSC_COMM_WORLD,bs,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,A))
295 extern PetscErrorCode  MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
296 
297 extern PetscErrorCode  MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
298 extern PetscErrorCode  MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
299 PetscPolymorphicFunction(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[]),(PETSC_COMM_SELF,bs,m,n,nz,nnz,&A),Mat,A)
300 PetscPolymorphicFunction(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz),(PETSC_COMM_SELF,bs,m,n,nz,PETSC_NULL,&A),Mat,A)
301 PetscPolymorphicFunction(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,const PetscInt nnz[]),(PETSC_COMM_SELF,bs,m,n,0,nnz,&A),Mat,A)
302 PetscPolymorphicFunction(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n),(PETSC_COMM_SELF,bs,m,n,0,PETSC_NULL,&A),Mat,A)
303 PetscPolymorphicSubroutine(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,Mat *A),(PETSC_COMM_SELF,bs,m,n,nz,PETSC_NULL,A))
304 PetscPolymorphicSubroutine(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,const PetscInt nnz[],Mat *A),(PETSC_COMM_SELF,bs,m,n,0,nnz,A))
305 PetscPolymorphicSubroutine(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,Mat *A),(PETSC_COMM_SELF,bs,m,n,0,PETSC_NULL,A))
306 
307 extern PetscErrorCode  MatCreateMPISBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
308 PetscPolymorphicFunction(MatCreateMPISBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,const PetscInt nnz[],PetscInt onz,const PetscInt onnz[]),(comm,bs,m,n,M,N,nz,nnz,onz,onnz,&A),Mat,A)
309 PetscPolymorphicFunction(MatCreateMPISBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz),(comm,bs,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,&A),Mat,A)
310 PetscPolymorphicFunction(MatCreateMPISBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[]),(comm,bs,m,n,M,N,0,nnz,0,onz,&A),Mat,A)
311 PetscPolymorphicFunction(MatCreateMPISBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N),(comm,bs,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,&A),Mat,A)
312 PetscPolymorphicSubroutine(MatCreateMPISBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz,Mat *A),(comm,bs,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,A))
313 PetscPolymorphicSubroutine(MatCreateMPISBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[],Mat *A),(comm,bs,m,n,M,N,0,nnz,0,onz,A))
314 PetscPolymorphicSubroutine(MatCreateMPISBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,Mat *A),(comm,bs,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,A))
315 PetscPolymorphicFunction(MatCreateMPISBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,const PetscInt nnz[],PetscInt onz,const PetscInt onnz[]),(PETSC_COMM_WORLD,bs,m,n,M,N,nz,nnz,onz,onnz,&A),Mat,A)
316 PetscPolymorphicFunction(MatCreateMPISBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz),(PETSC_COMM_WORLD,bs,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,&A),Mat,A)
317 PetscPolymorphicFunction(MatCreateMPISBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[]),(PETSC_COMM_WORLD,bs,m,n,M,N,0,nnz,0,onz,&A),Mat,A)
318 PetscPolymorphicFunction(MatCreateMPISBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N),(PETSC_COMM_WORLD,bs,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,&A),Mat,A)
319 PetscPolymorphicSubroutine(MatCreateMPISBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz,Mat *A),(PETSC_COMM_WORLD,bs,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,A))
320 PetscPolymorphicSubroutine(MatCreateMPISBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[],Mat *A),(PETSC_COMM_WORLD,bs,m,n,M,N,0,nnz,0,onz,A))
321 PetscPolymorphicSubroutine(MatCreateMPISBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,Mat *A),(PETSC_COMM_WORLD,bs,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,A))
322 extern PetscErrorCode  MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
323 extern PetscErrorCode  MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
324 
325 extern PetscErrorCode  MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
326 PetscPolymorphicFunction(MatCreateShell,(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N,void *ctx),(comm,m,n,M,N,ctx,&A),Mat,A)
327 PetscPolymorphicFunction(MatCreateShell,(PetscInt m,PetscInt n,PetscInt M,PetscInt N,void *ctx),(PETSC_COMM_WORLD,m,n,M,N,ctx,&A),Mat,A)
328 extern PetscErrorCode  MatCreateAdic(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,void (*)(void),Mat*);
329 extern PetscErrorCode  MatCreateNormal(Mat,Mat*);
330 PetscPolymorphicFunction(MatCreateNormal,(Mat mat),(mat,&A),Mat,A)
331 extern PetscErrorCode  MatCreateLRC(Mat,Mat,Mat,Mat*);
332 extern PetscErrorCode  MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,Mat*);
333 extern PetscErrorCode  MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
334 extern PetscErrorCode  MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
335 
336 extern PetscErrorCode  MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
337 extern PetscErrorCode  MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
338 extern PetscErrorCode  MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
339 extern PetscErrorCode  MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
340 
341 extern PetscErrorCode  MatCreateScatter(MPI_Comm,VecScatter,Mat*);
342 extern PetscErrorCode  MatScatterSetVecScatter(Mat,VecScatter);
343 extern PetscErrorCode  MatScatterGetVecScatter(Mat,VecScatter*);
344 extern PetscErrorCode  MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
345 extern PetscErrorCode  MatCompositeAddMat(Mat,Mat);
346 extern PetscErrorCode  MatCompositeMerge(Mat);
347 extern PetscErrorCode  MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
348 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
349 extern PetscErrorCode  MatCompositeSetType(Mat,MatCompositeType);
350 
351 extern PetscErrorCode  MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],const MatType,Mat*);
352 extern PetscErrorCode  MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
353 
354 extern PetscErrorCode  MatCreateTranspose(Mat,Mat*);
355 extern PetscErrorCode  MatCreateSubMatrix(Mat,IS,IS,Mat*);
356 extern PetscErrorCode  MatSubMatrixUpdate(Mat,Mat,IS,IS);
357 extern PetscErrorCode  MatCreateLocalRef(Mat,IS,IS,Mat*);
358 
359 extern PetscErrorCode  MatPythonSetType(Mat,const char[]);
360 
361 extern PetscErrorCode  MatSetUp(Mat);
362 extern PetscErrorCode  MatDestroy(Mat*);
363 
364 extern PetscErrorCode  MatConjugate(Mat);
365 extern PetscErrorCode  MatRealPart(Mat);
366 extern PetscErrorCode  MatImaginaryPart(Mat);
367 extern PetscErrorCode  MatGetDiagonalBlock(Mat,Mat*);
368 extern PetscErrorCode  MatGetTrace(Mat,PetscScalar*);
369 extern PetscErrorCode  MatInvertBlockDiagonal(Mat,PetscScalar **);
370 
371 /* ------------------------------------------------------------*/
372 extern PetscErrorCode  MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
373 extern PetscErrorCode  MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
374 extern PetscErrorCode  MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
375 extern PetscErrorCode  MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
376 extern PetscErrorCode  MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
377 
378 /*S
379      MatStencil - Data structure (C struct) for storing information about a single row or
380         column of a matrix as index on an associated grid.
381 
382    Level: beginner
383 
384   Concepts: matrix; linear operator
385 
386 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockStencil()
387 S*/
388 typedef struct {
389   PetscInt k,j,i,c;
390 } MatStencil;
391 
392 extern PetscErrorCode  MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
393 extern PetscErrorCode  MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
394 extern PetscErrorCode  MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
395 
396 extern PetscErrorCode  MatSetColoring(Mat,ISColoring);
397 extern PetscErrorCode  MatSetValuesAdic(Mat,void*);
398 extern PetscErrorCode  MatSetValuesAdifor(Mat,PetscInt,void*);
399 
400 /*E
401     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
402      to continue to add values to it
403 
404     Level: beginner
405 
406 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
407 E*/
408 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
409 extern PetscErrorCode  MatAssemblyBegin(Mat,MatAssemblyType);
410 extern PetscErrorCode  MatAssemblyEnd(Mat,MatAssemblyType);
411 extern PetscErrorCode  MatAssembled(Mat,PetscBool *);
412 
413 
414 
415 /*E
416     MatOption - Options that may be set for a matrix and its behavior or storage
417 
418     Level: beginner
419 
420    Any additions/changes here MUST also be made in include/finclude/petscmat.h
421 
422 .seealso: MatSetOption()
423 E*/
424 typedef enum {MAT_ROW_ORIENTED,MAT_NEW_NONZERO_LOCATIONS,
425               MAT_SYMMETRIC,
426               MAT_STRUCTURALLY_SYMMETRIC,
427               MAT_NEW_DIAGONALS,MAT_IGNORE_OFF_PROC_ENTRIES,
428               MAT_NEW_NONZERO_LOCATION_ERR,
429               MAT_NEW_NONZERO_ALLOCATION_ERR,MAT_USE_HASH_TABLE,
430               MAT_KEEP_NONZERO_PATTERN,MAT_IGNORE_ZERO_ENTRIES,
431               MAT_USE_INODES,
432               MAT_HERMITIAN,
433               MAT_SYMMETRY_ETERNAL,
434               MAT_CHECK_COMPRESSED_ROW,
435               MAT_IGNORE_LOWER_TRIANGULAR,MAT_ERROR_LOWER_TRIANGULAR,
436               MAT_GETROW_UPPERTRIANGULAR,MAT_UNUSED_NONZERO_LOCATION_ERR,
437               MAT_SPD,MAT_NO_OFF_PROC_ENTRIES,MAT_NO_OFF_PROC_ZERO_ROWS,
438               NUM_MAT_OPTIONS} MatOption;
439 extern const char *MatOptions[];
440 extern PetscErrorCode  MatSetOption(Mat,MatOption,PetscBool );
441 extern PetscErrorCode  MatGetType(Mat,const MatType*);
442 PetscPolymorphicFunction(MatGetType,(Mat mat),(mat,&t),const MatType,t)
443 
444 extern PetscErrorCode  MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
445 extern PetscErrorCode  MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
446 extern PetscErrorCode  MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
447 extern PetscErrorCode  MatGetRowUpperTriangular(Mat);
448 extern PetscErrorCode  MatRestoreRowUpperTriangular(Mat);
449 extern PetscErrorCode  MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
450 extern PetscErrorCode  MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
451 extern PetscErrorCode  MatGetColumnVector(Mat,Vec,PetscInt);
452 extern PetscErrorCode  MatGetArray(Mat,PetscScalar *[]);
453 PetscPolymorphicFunction(MatGetArray,(Mat mat),(mat,&a),PetscScalar*,a)
454 extern PetscErrorCode  MatRestoreArray(Mat,PetscScalar *[]);
455 extern PetscErrorCode  MatGetBlockSize(Mat,PetscInt *);
456 PetscPolymorphicFunction(MatGetBlockSize,(Mat mat),(mat,&a),PetscInt,a)
457 extern PetscErrorCode  MatSetBlockSize(Mat,PetscInt);
458 
459 
460 extern PetscErrorCode  MatMult(Mat,Vec,Vec);
461 extern PetscErrorCode  MatMultDiagonalBlock(Mat,Vec,Vec);
462 extern PetscErrorCode  MatMultAdd(Mat,Vec,Vec,Vec);
463 PetscPolymorphicSubroutine(MatMultAdd,(Mat A,Vec x,Vec y),(A,x,y,y))
464 extern PetscErrorCode  MatMultTranspose(Mat,Vec,Vec);
465 extern PetscErrorCode  MatMultHermitianTranspose(Mat,Vec,Vec);
466 extern PetscErrorCode  MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
467 PetscPolymorphicFunction(MatIsTranspose,(Mat A,Mat B,PetscReal tol),(A,B,tol,&t),PetscBool ,t)
468 PetscPolymorphicFunction(MatIsTranspose,(Mat A,Mat B),(A,B,0,&t),PetscBool ,t)
469 extern PetscErrorCode  MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
470 extern PetscErrorCode  MatMultTransposeAdd(Mat,Vec,Vec,Vec);
471 extern PetscErrorCode  MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
472 PetscPolymorphicSubroutine(MatMultTransposeAdd,(Mat A,Vec x,Vec y),(A,x,y,y))
473 extern PetscErrorCode  MatMultConstrained(Mat,Vec,Vec);
474 extern PetscErrorCode  MatMultTransposeConstrained(Mat,Vec,Vec);
475 extern PetscErrorCode  MatMatSolve(Mat,Mat,Mat);
476 
477 /*E
478     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
479   its numerical values copied over or just its nonzero structure.
480 
481     Level: beginner
482 
483    Any additions/changes here MUST also be made in include/finclude/petscmat.h
484 
485 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
486 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
487 $                               have several matrices with the same nonzero pattern.
488 
489 .seealso: MatDuplicate()
490 E*/
491 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
492 
493 extern PetscErrorCode  MatConvert(Mat,const MatType,MatReuse,Mat*);
494 PetscPolymorphicFunction(MatConvert,(Mat A,const MatType t),(A,t,MAT_INITIAL_MATRIX,&a),Mat,a)
495 extern PetscErrorCode  MatDuplicate(Mat,MatDuplicateOption,Mat*);
496 PetscPolymorphicFunction(MatDuplicate,(Mat A,MatDuplicateOption o),(A,o,&a),Mat,a)
497 PetscPolymorphicFunction(MatDuplicate,(Mat A),(A,MAT_COPY_VALUES,&a),Mat,a)
498 
499 
500 extern PetscErrorCode  MatCopy(Mat,Mat,MatStructure);
501 extern PetscErrorCode  MatView(Mat,PetscViewer);
502 extern PetscErrorCode  MatIsSymmetric(Mat,PetscReal,PetscBool *);
503 PetscPolymorphicFunction(MatIsSymmetric,(Mat A,PetscReal tol),(A,tol,&t),PetscBool ,t)
504 PetscPolymorphicFunction(MatIsSymmetric,(Mat A),(A,0,&t),PetscBool ,t)
505 extern PetscErrorCode  MatIsStructurallySymmetric(Mat,PetscBool *);
506 PetscPolymorphicFunction(MatIsStructurallySymmetric,(Mat A),(A,&t),PetscBool ,t)
507 extern PetscErrorCode  MatIsHermitian(Mat,PetscReal,PetscBool *);
508 PetscPolymorphicFunction(MatIsHermitian,(Mat A),(A,0,&t),PetscBool ,t)
509 extern PetscErrorCode  MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
510 extern PetscErrorCode  MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
511 extern PetscErrorCode  MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
512 extern PetscErrorCode  MatLoad(Mat, PetscViewer);
513 
514 extern PetscErrorCode  MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,PetscInt *[],PetscInt *[],PetscBool  *);
515 extern PetscErrorCode  MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,PetscInt *[],PetscInt *[],PetscBool  *);
516 extern PetscErrorCode  MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,PetscInt *[],PetscInt *[],PetscBool  *);
517 extern PetscErrorCode  MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,PetscInt *[],PetscInt *[],PetscBool  *);
518 
519 /*S
520      MatInfo - Context of matrix information, used with MatGetInfo()
521 
522    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
523 
524    Level: intermediate
525 
526   Concepts: matrix^nonzero information
527 
528 .seealso:  MatGetInfo(), MatInfoType
529 S*/
530 typedef struct {
531   PetscLogDouble block_size;                         /* block size */
532   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
533   PetscLogDouble memory;                             /* memory allocated */
534   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
535   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
536   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
537   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
538 } MatInfo;
539 
540 /*E
541     MatInfoType - Indicates if you want information about the local part of the matrix,
542      the entire parallel matrix or the maximum over all the local parts.
543 
544     Level: beginner
545 
546    Any additions/changes here MUST also be made in include/finclude/petscmat.h
547 
548 .seealso: MatGetInfo(), MatInfo
549 E*/
550 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
551 extern PetscErrorCode  MatGetInfo(Mat,MatInfoType,MatInfo*);
552 extern PetscErrorCode  MatGetDiagonal(Mat,Vec);
553 extern PetscErrorCode  MatGetRowMax(Mat,Vec,PetscInt[]);
554 extern PetscErrorCode  MatGetRowMin(Mat,Vec,PetscInt[]);
555 extern PetscErrorCode  MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
556 extern PetscErrorCode  MatGetRowMinAbs(Mat,Vec,PetscInt[]);
557 extern PetscErrorCode  MatGetRowSum(Mat,Vec);
558 extern PetscErrorCode  MatTranspose(Mat,MatReuse,Mat*);
559 PetscPolymorphicFunction(MatTranspose,(Mat A),(A,MAT_INITIAL_MATRIX,&t),Mat,t)
560 extern PetscErrorCode  MatHermitianTranspose(Mat,MatReuse,Mat*);
561 extern PetscErrorCode  MatPermute(Mat,IS,IS,Mat *);
562 PetscPolymorphicFunction(MatPermute,(Mat A,IS is1,IS is2),(A,is1,is2,&t),Mat,t)
563 extern PetscErrorCode  MatDiagonalScale(Mat,Vec,Vec);
564 extern PetscErrorCode  MatDiagonalSet(Mat,Vec,InsertMode);
565 extern PetscErrorCode  MatEqual(Mat,Mat,PetscBool *);
566 PetscPolymorphicFunction(MatEqual,(Mat A,Mat B),(A,B,&t),PetscBool ,t)
567 extern PetscErrorCode  MatMultEqual(Mat,Mat,PetscInt,PetscBool *);
568 extern PetscErrorCode  MatMultAddEqual(Mat,Mat,PetscInt,PetscBool *);
569 extern PetscErrorCode  MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool *);
570 extern PetscErrorCode  MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool *);
571 
572 extern PetscErrorCode  MatNorm(Mat,NormType,PetscReal *);
573 PetscPolymorphicFunction(MatNorm,(Mat A,NormType t),(A,t,&n),PetscReal,n)
574 extern PetscErrorCode  MatGetColumnNorms(Mat,NormType,PetscReal *);
575 extern PetscErrorCode  MatZeroEntries(Mat);
576 extern PetscErrorCode  MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
577 extern PetscErrorCode  MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
578 extern PetscErrorCode  MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
579 extern PetscErrorCode  MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
580 extern PetscErrorCode  MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
581 
582 extern PetscErrorCode  MatUseScaledForm(Mat,PetscBool );
583 extern PetscErrorCode  MatScaleSystem(Mat,Vec,Vec);
584 extern PetscErrorCode  MatUnScaleSystem(Mat,Vec,Vec);
585 
586 extern PetscErrorCode  MatGetSize(Mat,PetscInt*,PetscInt*);
587 extern PetscErrorCode  MatGetLocalSize(Mat,PetscInt*,PetscInt*);
588 extern PetscErrorCode  MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
589 extern PetscErrorCode  MatGetOwnershipRanges(Mat,const PetscInt**);
590 extern PetscErrorCode  MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
591 extern PetscErrorCode  MatGetOwnershipRangesColumn(Mat,const PetscInt**);
592 
593 extern PetscErrorCode  MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
594 extern PetscErrorCode  MatGetSubMatricesParallel(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
595 extern PetscErrorCode  MatDestroyMatrices(PetscInt,Mat *[]);
596 extern PetscErrorCode  MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
597 extern PetscErrorCode  MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
598 extern PetscErrorCode  MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
599 extern PetscErrorCode  MatGetSeqNonzeroStructure(Mat,Mat*);
600 extern PetscErrorCode  MatDestroySeqNonzeroStructure(Mat*);
601 
602 extern PetscErrorCode  MatMerge(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
603 extern PetscErrorCode  MatMerge_SeqsToMPI(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
604 extern PetscErrorCode  MatMerge_SeqsToMPISymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
605 extern PetscErrorCode  MatMerge_SeqsToMPINumeric(Mat,Mat);
606 extern PetscErrorCode  MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
607 extern PetscErrorCode  MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
608 extern PetscErrorCode  MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,PetscInt*,Mat*);
609 extern PetscErrorCode  MatGetBrowsOfAoCols(Mat,Mat,MatReuse,PetscInt**,PetscInt**,MatScalar**,Mat*);
610 #if defined (PETSC_USE_CTABLE)
611 #include "petscctable.h"
612 extern PetscErrorCode  MatGetCommunicationStructs(Mat, Vec *, PetscTable *, VecScatter *);
613 #else
614 extern PetscErrorCode  MatGetCommunicationStructs(Mat, Vec *, PetscInt *[], VecScatter *);
615 #endif
616 extern PetscErrorCode  MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
617 
618 extern PetscErrorCode  MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
619 
620 extern PetscErrorCode  MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
621 extern PetscErrorCode  MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
622 extern PetscErrorCode  MatMatMultNumeric(Mat,Mat,Mat);
623 
624 extern PetscErrorCode  MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
625 extern PetscErrorCode  MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
626 extern PetscErrorCode  MatPtAPNumeric(Mat,Mat,Mat);
627 
628 extern PetscErrorCode  MatMatMultTranspose(Mat,Mat,MatReuse,PetscReal,Mat*);
629 extern PetscErrorCode  MatMatMultTransposeSymbolic(Mat,Mat,PetscReal,Mat*);
630 extern PetscErrorCode  MatMatMultTransposeNumeric(Mat,Mat,Mat);
631 
632 extern PetscErrorCode  MatAXPY(Mat,PetscScalar,Mat,MatStructure);
633 extern PetscErrorCode  MatAYPX(Mat,PetscScalar,Mat,MatStructure);
634 
635 extern PetscErrorCode  MatScale(Mat,PetscScalar);
636 extern PetscErrorCode  MatShift(Mat,PetscScalar);
637 
638 extern PetscErrorCode  MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
639 extern PetscErrorCode  MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
640 extern PetscErrorCode  MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
641 extern PetscErrorCode  MatGetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
642 extern PetscErrorCode  MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
643 extern PetscErrorCode  MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
644 extern PetscErrorCode  MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
645 extern PetscErrorCode  MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
646 extern PetscErrorCode  MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
647 extern PetscErrorCode  MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
648 
649 extern PetscErrorCode  MatStashSetInitialSize(Mat,PetscInt,PetscInt);
650 extern PetscErrorCode  MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
651 
652 extern PetscErrorCode  MatInterpolate(Mat,Vec,Vec);
653 extern PetscErrorCode  MatInterpolateAdd(Mat,Vec,Vec,Vec);
654 PetscPolymorphicSubroutine(MatInterpolateAdd,(Mat A,Vec x,Vec y),(A,x,y,y))
655 extern PetscErrorCode  MatRestrict(Mat,Vec,Vec);
656 extern PetscErrorCode  MatGetVecs(Mat,Vec*,Vec*);
657 extern PetscErrorCode  MatGetRedundantMatrix(Mat,PetscInt,MPI_Comm,PetscInt,MatReuse,Mat*);
658 extern PetscErrorCode  MatGetMultiProcBlock(Mat,MPI_Comm,Mat*);
659 extern PetscErrorCode  MatFindZeroDiagonals(Mat,IS*);
660 
661 /*MC
662    MatSetValue - Set a single entry into a matrix.
663 
664    Not collective
665 
666    Input Parameters:
667 +  m - the matrix
668 .  row - the row location of the entry
669 .  col - the column location of the entry
670 .  value - the value to insert
671 -  mode - either INSERT_VALUES or ADD_VALUES
672 
673    Notes:
674    For efficiency one should use MatSetValues() and set several or many
675    values simultaneously if possible.
676 
677    Level: beginner
678 
679 .seealso: MatSetValues(), MatSetValueLocal()
680 M*/
681 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
682 
683 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
684 
685 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
686 
687 /*MC
688    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
689        row in a matrix providing the data that one can use to correctly preallocate the matrix.
690 
691    Synopsis:
692    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
693 
694    Collective on MPI_Comm
695 
696    Input Parameters:
697 +  comm - the communicator that will share the eventually allocated matrix
698 .  nrows - the number of LOCAL rows in the matrix
699 -  ncols - the number of LOCAL columns in the matrix
700 
701    Output Parameters:
702 +  dnz - the array that will be passed to the matrix preallocation routines
703 -  ozn - the other array passed to the matrix preallocation routines
704 
705 
706    Level: intermediate
707 
708    Notes:
709     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
710 
711    Do not malloc or free dnz and onz, that is handled internally by these routines
712 
713    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
714 
715    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
716 
717   Concepts: preallocation^Matrix
718 
719 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
720           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
721 M*/
722 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
723 { \
724   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
725   _4_ierr = PetscMalloc2(__nrows,PetscInt,&dnz,__nrows,PetscInt,&onz);CHKERRQ(_4_ierr); \
726   _4_ierr = PetscMemzero(dnz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
727   _4_ierr = PetscMemzero(onz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
728   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
729   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
730 
731 /*MC
732    MatPreallocateSymmetricInitialize - Begins the block of code that will count the number of nonzeros per
733        row in a matrix providing the data that one can use to correctly preallocate the matrix.
734 
735    Synopsis:
736    PetscErrorCode MatPreallocateSymmetricInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
737 
738    Collective on MPI_Comm
739 
740    Input Parameters:
741 +  comm - the communicator that will share the eventually allocated matrix
742 .  nrows - the number of LOCAL rows in the matrix
743 -  ncols - the number of LOCAL columns in the matrix
744 
745    Output Parameters:
746 +  dnz - the array that will be passed to the matrix preallocation routines
747 -  ozn - the other array passed to the matrix preallocation routines
748 
749 
750    Level: intermediate
751 
752    Notes:
753     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
754 
755    Do not malloc or free dnz and onz, that is handled internally by these routines
756 
757    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
758 
759   Concepts: preallocation^Matrix
760 
761 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
762           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
763 M*/
764 #define MatPreallocateSymmetricInitialize(comm,nrows,ncols,dnz,onz) 0; \
765 { \
766   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__end; \
767   _4_ierr = PetscMalloc2(__nrows,PetscInt,&dnz,__nrows,PetscInt,&onz);CHKERRQ(_4_ierr); \
768   _4_ierr = PetscMemzero(dnz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
769   _4_ierr = PetscMemzero(onz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
770   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr);\
771   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
772 
773 /*MC
774    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
775        inserted using a local number of the rows and columns
776 
777    Synopsis:
778    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
779 
780    Not Collective
781 
782    Input Parameters:
783 +  map - the row mapping from local numbering to global numbering
784 .  nrows - the number of rows indicated
785 .  rows - the indices of the rows
786 .  cmap - the column mapping from local to global numbering
787 .  ncols - the number of columns in the matrix
788 .  cols - the columns indicated
789 .  dnz - the array that will be passed to the matrix preallocation routines
790 -  ozn - the other array passed to the matrix preallocation routines
791 
792 
793    Level: intermediate
794 
795    Notes:
796     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
797 
798    Do not malloc or free dnz and onz, that is handled internally by these routines
799 
800   Concepts: preallocation^Matrix
801 
802 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
803           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
804 M*/
805 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
806 {\
807   PetscInt __l;\
808   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
809   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
810   for (__l=0;__l<nrows;__l++) {\
811     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
812   }\
813 }
814 
815 /*MC
816    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
817        inserted using a local number of the rows and columns
818 
819    Synopsis:
820    PetscErrorCode MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
821 
822    Not Collective
823 
824    Input Parameters:
825 +  map - the mapping between local numbering and global numbering
826 .  nrows - the number of rows indicated
827 .  rows - the indices of the rows
828 .  ncols - the number of columns in the matrix
829 .  cols - the columns indicated
830 .  dnz - the array that will be passed to the matrix preallocation routines
831 -  ozn - the other array passed to the matrix preallocation routines
832 
833 
834    Level: intermediate
835 
836    Notes:
837     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
838 
839    Do not malloc or free dnz and onz that is handled internally by these routines
840 
841   Concepts: preallocation^Matrix
842 
843 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
844           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
845 M*/
846 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
847 {\
848   PetscInt __l;\
849   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
850   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
851   for (__l=0;__l<nrows;__l++) {\
852     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
853   }\
854 }
855 
856 /*MC
857    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
858        inserted using a local number of the rows and columns
859 
860    Synopsis:
861    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
862 
863    Not Collective
864 
865    Input Parameters:
866 +  row - the row
867 .  ncols - the number of columns in the matrix
868 -  cols - the columns indicated
869 
870    Output Parameters:
871 +  dnz - the array that will be passed to the matrix preallocation routines
872 -  ozn - the other array passed to the matrix preallocation routines
873 
874 
875    Level: intermediate
876 
877    Notes:
878     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
879 
880    Do not malloc or free dnz and onz that is handled internally by these routines
881 
882    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
883 
884   Concepts: preallocation^Matrix
885 
886 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
887           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
888 M*/
889 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
890 { PetscInt __i; \
891   if (row < __rstart) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Trying to set preallocation for row %D less than first local row %D",row,__rstart);\
892   if (row >= __rstart+__nrows) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Trying to set preallocation for row %D greater than last local row %D",row,__rstart+__nrows-1);\
893   for (__i=0; __i<nc; __i++) {\
894     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
895     else dnz[row - __rstart]++;\
896   }\
897 }
898 
899 /*MC
900    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
901        inserted using a local number of the rows and columns
902 
903    Synopsis:
904    PetscErrorCode MatPreallocateSymmetricSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
905 
906    Not Collective
907 
908    Input Parameters:
909 +  nrows - the number of rows indicated
910 .  rows - the indices of the rows
911 .  ncols - the number of columns in the matrix
912 .  cols - the columns indicated
913 .  dnz - the array that will be passed to the matrix preallocation routines
914 -  ozn - the other array passed to the matrix preallocation routines
915 
916 
917    Level: intermediate
918 
919    Notes:
920     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
921 
922    Do not malloc or free dnz and onz that is handled internally by these routines
923 
924    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
925 
926   Concepts: preallocation^Matrix
927 
928 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
929           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
930 M*/
931 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
932 { PetscInt __i; \
933   for (__i=0; __i<nc; __i++) {\
934     if (cols[__i] >= __end) onz[row - __rstart]++; \
935     else if (cols[__i] >= row) dnz[row - __rstart]++;\
936   }\
937 }
938 
939 /*MC
940    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
941 
942    Synopsis:
943    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
944 
945    Not Collective
946 
947    Input Parameters:
948 .  A - matrix
949 .  row - row where values exist (must be local to this process)
950 .  ncols - number of columns
951 .  cols - columns with nonzeros
952 .  dnz - the array that will be passed to the matrix preallocation routines
953 -  ozn - the other array passed to the matrix preallocation routines
954 
955 
956    Level: intermediate
957 
958    Notes:
959     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
960 
961    Do not malloc or free dnz and onz that is handled internally by these routines
962 
963    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
964 
965   Concepts: preallocation^Matrix
966 
967 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
968           MatPreallocateSymmetricInitialize(), MatPreallocateSymmetricSetLocal()
969 M*/
970 #define MatPreallocateLocation(A,row,ncols,cols,dnz,onz) 0;if (A) {ierr = MatSetValues(A,1,&row,ncols,cols,PETSC_NULL,INSERT_VALUES);CHKERRQ(ierr);} else {ierr =  MatPreallocateSet(row,ncols,cols,dnz,onz);CHKERRQ(ierr);}
971 
972 
973 /*MC
974    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
975        row in a matrix providing the data that one can use to correctly preallocate the matrix.
976 
977    Synopsis:
978    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
979 
980    Collective on MPI_Comm
981 
982    Input Parameters:
983 +  dnz - the array that was be passed to the matrix preallocation routines
984 -  ozn - the other array passed to the matrix preallocation routines
985 
986 
987    Level: intermediate
988 
989    Notes:
990     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
991 
992    Do not malloc or free dnz and onz that is handled internally by these routines
993 
994    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
995 
996   Concepts: preallocation^Matrix
997 
998 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
999           MatPreallocateSymmetricInitialize(), MatPreallocateSymmetricSetLocal()
1000 M*/
1001 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
1002 
1003 
1004 
1005 /* Routines unique to particular data structures */
1006 extern PetscErrorCode  MatShellGetContext(Mat,void *);
1007 PetscPolymorphicFunction(MatShellGetContext,(Mat A),(A,&t),void*,t)
1008 
1009 extern PetscErrorCode  MatInodeAdjustForInodes(Mat,IS*,IS*);
1010 extern PetscErrorCode  MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1011 
1012 extern PetscErrorCode  MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1013 extern PetscErrorCode  MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1014 extern PetscErrorCode  MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1015 extern PetscErrorCode  MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1016 extern PetscErrorCode  MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1017 
1018 #define MAT_SKIP_ALLOCATION -4
1019 
1020 extern PetscErrorCode  MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1021 PetscPolymorphicSubroutine(MatSeqBAIJSetPreallocation,(Mat A,PetscInt bs,const PetscInt nnz[]),(A,bs,0,nnz))
1022 extern PetscErrorCode  MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1023 PetscPolymorphicSubroutine(MatSeqSBAIJSetPreallocation,(Mat A,PetscInt bs,const PetscInt nnz[]),(A,bs,0,nnz))
1024 extern PetscErrorCode  MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1025 PetscPolymorphicSubroutine(MatSeqAIJSetPreallocation,(Mat A,const PetscInt nnz[]),(A,0,nnz))
1026 
1027 extern PetscErrorCode  MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1028 PetscPolymorphicSubroutine(MatMPIBAIJSetPreallocation,(Mat A,PetscInt bs,const PetscInt nnz[],const PetscInt onz[]),(A,bs,0,nnz,0,onz))
1029 extern PetscErrorCode  MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1030 extern PetscErrorCode  MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1031 extern PetscErrorCode  MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1032 extern PetscErrorCode  MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1033 extern PetscErrorCode  MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1034 extern PetscErrorCode  MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1035 extern PetscErrorCode  MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1036 extern PetscErrorCode  MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1037 extern PetscErrorCode  MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1038 extern PetscErrorCode  MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,PetscInt*[]);
1039 extern PetscErrorCode  MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,PetscInt*[]);
1040 extern PetscErrorCode  MatAdicSetLocalFunction(Mat,void (*)(void));
1041 
1042 extern PetscErrorCode  MatSeqDenseSetLDA(Mat,PetscInt);
1043 extern PetscErrorCode  MatDenseGetLocalMatrix(Mat,Mat*);
1044 
1045 extern PetscErrorCode  MatStoreValues(Mat);
1046 extern PetscErrorCode  MatRetrieveValues(Mat);
1047 
1048 extern PetscErrorCode  MatDAADSetCtx(Mat,void*);
1049 
1050 extern PetscErrorCode  MatFindNonzeroRows(Mat,IS*);
1051 /*
1052   These routines are not usually accessed directly, rather solving is
1053   done through the KSP and PC interfaces.
1054 */
1055 
1056 /*E
1057     MatOrderingType - String with the name of a PETSc matrix ordering or the creation function
1058        with an optional dynamic library name, for example
1059        http://www.mcs.anl.gov/petsc/lib.a:orderingcreate()
1060 
1061    Level: beginner
1062 
1063    Cannot use const because the PC objects manipulate the string
1064 
1065 .seealso: MatGetOrdering()
1066 E*/
1067 #define MatOrderingType char*
1068 #define MATORDERINGNATURAL     "natural"
1069 #define MATORDERINGND          "nd"
1070 #define MATORDERING1WD         "1wd"
1071 #define MATORDERINGRCM         "rcm"
1072 #define MATORDERINGQMD         "qmd"
1073 #define MATORDERINGROWLENGTH   "rowlength"
1074 #define MATORDERINGDSC_ND      "dsc_nd"         /* these three are only for DSCPACK, see its documentation for details */
1075 #define MATORDERINGDSC_MMD     "dsc_mmd"
1076 #define MATORDERINGDSC_MDF     "dsc_mdf"
1077 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1078 
1079 extern PetscErrorCode  MatGetOrdering(Mat,const MatOrderingType,IS*,IS*);
1080 extern PetscErrorCode  MatGetOrderingList(PetscFList *list);
1081 extern PetscErrorCode  MatOrderingRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,const MatOrderingType,IS*,IS*));
1082 
1083 /*MC
1084    MatOrderingRegisterDynamic - Adds a new sparse matrix ordering to the matrix package.
1085 
1086    Synopsis:
1087    PetscErrorCode MatOrderingRegisterDynamic(const char *name_ordering,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatOrdering))
1088 
1089    Not Collective
1090 
1091    Input Parameters:
1092 +  sname - name of ordering (for example MATORDERINGND)
1093 .  path - location of library where creation routine is
1094 .  name - name of function that creates the ordering type,a string
1095 -  function - function pointer that creates the ordering
1096 
1097    Level: developer
1098 
1099    If dynamic libraries are used, then the fourth input argument (function)
1100    is ignored.
1101 
1102    Sample usage:
1103 .vb
1104    MatOrderingRegisterDynamic("my_order",/home/username/my_lib/lib/libO/solaris/mylib.a,
1105                "MyOrder",MyOrder);
1106 .ve
1107 
1108    Then, your partitioner can be chosen with the procedural interface via
1109 $     MatOrderingSetType(part,"my_order)
1110    or at runtime via the option
1111 $     -pc_factor_mat_ordering_type my_order
1112 
1113    ${PETSC_ARCH} occuring in pathname will be replaced with appropriate values.
1114 
1115 .keywords: matrix, ordering, register
1116 
1117 .seealso: MatOrderingRegisterDestroy(), MatOrderingRegisterAll()
1118 M*/
1119 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1120 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,0)
1121 #else
1122 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,d)
1123 #endif
1124 
1125 extern PetscErrorCode  MatOrderingRegisterDestroy(void);
1126 extern PetscErrorCode  MatOrderingRegisterAll(const char[]);
1127 extern PetscBool  MatOrderingRegisterAllCalled;
1128 extern PetscFList MatOrderingList;
1129 
1130 extern PetscErrorCode  MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1131 
1132 /*S
1133     MatFactorShiftType - Numeric Shift.
1134 
1135    Level: beginner
1136 
1137 S*/
1138 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1139 extern const char *MatFactorShiftTypes[];
1140 
1141 /*S
1142    MatFactorInfo - Data passed into the matrix factorization routines
1143 
1144    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1145 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1146 
1147    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1148 
1149       You can use MatFactorInfoInitialize() to set default values.
1150 
1151    Level: developer
1152 
1153 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1154           MatFactorInfoInitialize()
1155 
1156 S*/
1157 typedef struct {
1158   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1159   PetscReal     usedt;
1160   PetscReal     dt;             /* drop tolerance */
1161   PetscReal     dtcol;          /* tolerance for pivoting */
1162   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1163   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1164   PetscReal     levels;         /* ICC/ILU(levels) */
1165   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1166                                    factorization may be faster if do not pivot */
1167   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1168   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1169   PetscReal     shiftamount;     /* how large the shift is */
1170 } MatFactorInfo;
1171 
1172 extern PetscErrorCode  MatFactorInfoInitialize(MatFactorInfo*);
1173 extern PetscErrorCode  MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1174 extern PetscErrorCode  MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1175 extern PetscErrorCode  MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1176 extern PetscErrorCode  MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1177 extern PetscErrorCode  MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1178 extern PetscErrorCode  MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1179 extern PetscErrorCode  MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1180 extern PetscErrorCode  MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1181 extern PetscErrorCode  MatICCFactor(Mat,IS,const MatFactorInfo*);
1182 extern PetscErrorCode  MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1183 extern PetscErrorCode  MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1184 extern PetscErrorCode  MatSolve(Mat,Vec,Vec);
1185 extern PetscErrorCode  MatForwardSolve(Mat,Vec,Vec);
1186 extern PetscErrorCode  MatBackwardSolve(Mat,Vec,Vec);
1187 extern PetscErrorCode  MatSolveAdd(Mat,Vec,Vec,Vec);
1188 extern PetscErrorCode  MatSolveTranspose(Mat,Vec,Vec);
1189 extern PetscErrorCode  MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1190 extern PetscErrorCode  MatSolves(Mat,Vecs,Vecs);
1191 
1192 extern PetscErrorCode  MatSetUnfactored(Mat);
1193 
1194 /*E
1195     MatSORType - What type of (S)SOR to perform
1196 
1197     Level: beginner
1198 
1199    May be bitwise ORd together
1200 
1201    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1202 
1203    MatSORType may be bitwise ORd together, so do not change the numbers
1204 
1205 .seealso: MatSOR()
1206 E*/
1207 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1208               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1209               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1210               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1211 extern PetscErrorCode  MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1212 
1213 /*
1214     These routines are for efficiently computing Jacobians via finite differences.
1215 */
1216 
1217 /*E
1218     MatColoringType - String with the name of a PETSc matrix coloring or the creation function
1219        with an optional dynamic library name, for example
1220        http://www.mcs.anl.gov/petsc/lib.a:coloringcreate()
1221 
1222    Level: beginner
1223 
1224 .seealso: MatGetColoring()
1225 E*/
1226 #define MatColoringType char*
1227 #define MATCOLORINGNATURAL "natural"
1228 #define MATCOLORINGSL      "sl"
1229 #define MATCOLORINGLF      "lf"
1230 #define MATCOLORINGID      "id"
1231 
1232 extern PetscErrorCode  MatGetColoring(Mat,const MatColoringType,ISColoring*);
1233 extern PetscErrorCode  MatColoringRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,MatColoringType,ISColoring *));
1234 
1235 /*MC
1236    MatColoringRegisterDynamic - Adds a new sparse matrix coloring to the
1237                                matrix package.
1238 
1239    Synopsis:
1240    PetscErrorCode MatColoringRegisterDynamic(const char *name_coloring,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatColoring))
1241 
1242    Not Collective
1243 
1244    Input Parameters:
1245 +  sname - name of Coloring (for example MATCOLORINGSL)
1246 .  path - location of library where creation routine is
1247 .  name - name of function that creates the Coloring type, a string
1248 -  function - function pointer that creates the coloring
1249 
1250    Level: developer
1251 
1252    If dynamic libraries are used, then the fourth input argument (function)
1253    is ignored.
1254 
1255    Sample usage:
1256 .vb
1257    MatColoringRegisterDynamic("my_color",/home/username/my_lib/lib/libO/solaris/mylib.a,
1258                "MyColor",MyColor);
1259 .ve
1260 
1261    Then, your partitioner can be chosen with the procedural interface via
1262 $     MatColoringSetType(part,"my_color")
1263    or at runtime via the option
1264 $     -mat_coloring_type my_color
1265 
1266    $PETSC_ARCH occuring in pathname will be replaced with appropriate values.
1267 
1268 .keywords: matrix, Coloring, register
1269 
1270 .seealso: MatColoringRegisterDestroy(), MatColoringRegisterAll()
1271 M*/
1272 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1273 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,0)
1274 #else
1275 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,d)
1276 #endif
1277 
1278 extern PetscBool  MatColoringRegisterAllCalled;
1279 
1280 extern PetscErrorCode  MatColoringRegisterAll(const char[]);
1281 extern PetscErrorCode  MatColoringRegisterDestroy(void);
1282 extern PetscErrorCode  MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1283 
1284 /*S
1285      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1286         and coloring
1287 
1288    Level: beginner
1289 
1290   Concepts: coloring, sparse Jacobian, finite differences
1291 
1292 .seealso:  MatFDColoringCreate()
1293 S*/
1294 typedef struct _p_MatFDColoring* MatFDColoring;
1295 
1296 extern PetscErrorCode  MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1297 extern PetscErrorCode  MatFDColoringDestroy(MatFDColoring*);
1298 extern PetscErrorCode  MatFDColoringView(MatFDColoring,PetscViewer);
1299 extern PetscErrorCode  MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1300 extern PetscErrorCode  MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1301 extern PetscErrorCode  MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1302 extern PetscErrorCode  MatFDColoringSetFromOptions(MatFDColoring);
1303 extern PetscErrorCode  MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
1304 extern PetscErrorCode  MatFDColoringApplyTS(Mat,MatFDColoring,PetscReal,Vec,MatStructure*,void *);
1305 extern PetscErrorCode  MatFDColoringSetF(MatFDColoring,Vec);
1306 extern PetscErrorCode  MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1307 /*
1308     These routines are for partitioning matrices: currently used only
1309   for adjacency matrix, MatCreateMPIAdj().
1310 */
1311 
1312 /*S
1313      MatPartitioning - Object for managing the partitioning of a matrix or graph
1314 
1315    Level: beginner
1316 
1317   Concepts: partitioning
1318 
1319 .seealso:  MatPartitioningCreate(), MatPartitioningType
1320 S*/
1321 typedef struct _p_MatPartitioning* MatPartitioning;
1322 
1323 /*E
1324     MatPartitioningType - String with the name of a PETSc matrix partitioning or the creation function
1325        with an optional dynamic library name, for example
1326        http://www.mcs.anl.gov/petsc/lib.a:partitioningcreate()
1327 
1328    Level: beginner
1329 
1330 .seealso: MatPartitioningCreate(), MatPartitioning
1331 E*/
1332 #define MatPartitioningType char*
1333 #define MATPARTITIONINGCURRENT  "current"
1334 #define MATPARTITIONINGSQUARE   "square"
1335 #define MATPARTITIONINGPARMETIS "parmetis"
1336 #define MATPARTITIONINGCHACO    "chaco"
1337 #define MATPARTITIONINGPARTY    "party"
1338 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1339 
1340 
1341 extern PetscErrorCode  MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1342 extern PetscErrorCode  MatPartitioningSetType(MatPartitioning,const MatPartitioningType);
1343 extern PetscErrorCode  MatPartitioningSetNParts(MatPartitioning,PetscInt);
1344 extern PetscErrorCode  MatPartitioningSetAdjacency(MatPartitioning,Mat);
1345 extern PetscErrorCode  MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1346 extern PetscErrorCode  MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1347 extern PetscErrorCode  MatPartitioningApply(MatPartitioning,IS*);
1348 extern PetscErrorCode  MatPartitioningDestroy(MatPartitioning*);
1349 
1350 extern PetscErrorCode  MatPartitioningRegister(const char[],const char[],const char[],PetscErrorCode (*)(MatPartitioning));
1351 
1352 /*MC
1353    MatPartitioningRegisterDynamic - Adds a new sparse matrix partitioning to the
1354    matrix package.
1355 
1356    Synopsis:
1357    PetscErrorCode MatPartitioningRegisterDynamic(const char *name_partitioning,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatPartitioning))
1358 
1359    Not Collective
1360 
1361    Input Parameters:
1362 +  sname - name of partitioning (for example MATPARTITIONINGCURRENT) or parmetis
1363 .  path - location of library where creation routine is
1364 .  name - name of function that creates the partitioning type, a string
1365 -  function - function pointer that creates the partitioning type
1366 
1367    Level: developer
1368 
1369    If dynamic libraries are used, then the fourth input argument (function)
1370    is ignored.
1371 
1372    Sample usage:
1373 .vb
1374    MatPartitioningRegisterDynamic("my_part",/home/username/my_lib/lib/libO/solaris/mylib.a,
1375                "MyPartCreate",MyPartCreate);
1376 .ve
1377 
1378    Then, your partitioner can be chosen with the procedural interface via
1379 $     MatPartitioningSetType(part,"my_part")
1380    or at runtime via the option
1381 $     -mat_partitioning_type my_part
1382 
1383    $PETSC_ARCH occuring in pathname will be replaced with appropriate values.
1384 
1385 .keywords: matrix, partitioning, register
1386 
1387 .seealso: MatPartitioningRegisterDestroy(), MatPartitioningRegisterAll()
1388 M*/
1389 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1390 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,0)
1391 #else
1392 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,d)
1393 #endif
1394 
1395 extern PetscBool  MatPartitioningRegisterAllCalled;
1396 
1397 extern PetscErrorCode  MatPartitioningRegisterAll(const char[]);
1398 extern PetscErrorCode  MatPartitioningRegisterDestroy(void);
1399 
1400 extern PetscErrorCode  MatPartitioningView(MatPartitioning,PetscViewer);
1401 extern PetscErrorCode  MatPartitioningSetFromOptions(MatPartitioning);
1402 extern PetscErrorCode  MatPartitioningGetType(MatPartitioning,const MatPartitioningType*);
1403 
1404 extern PetscErrorCode  MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1405 extern PetscErrorCode  MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1406 
1407 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1408 extern const char *MPChacoGlobalTypes[];
1409 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1410 extern const char *MPChacoLocalTypes[];
1411 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1412 extern const char *MPChacoEigenTypes[];
1413 
1414 extern PetscErrorCode  MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1415 extern PetscErrorCode  MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1416 extern PetscErrorCode  MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1417 extern PetscErrorCode  MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1418 extern PetscErrorCode  MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1419 extern PetscErrorCode  MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1420 extern PetscErrorCode  MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1421 extern PetscErrorCode  MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1422 extern PetscErrorCode  MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1423 extern PetscErrorCode  MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1424 extern PetscErrorCode  MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1425 
1426 #define MP_PARTY_OPT "opt"
1427 #define MP_PARTY_LIN "lin"
1428 #define MP_PARTY_SCA "sca"
1429 #define MP_PARTY_RAN "ran"
1430 #define MP_PARTY_GBF "gbf"
1431 #define MP_PARTY_GCF "gcf"
1432 #define MP_PARTY_BUB "bub"
1433 #define MP_PARTY_DEF "def"
1434 extern PetscErrorCode  MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1435 #define MP_PARTY_HELPFUL_SETS "hs"
1436 #define MP_PARTY_KERNIGHAN_LIN "kl"
1437 #define MP_PARTY_NONE "no"
1438 extern PetscErrorCode  MatPartitioningPartySetLocal(MatPartitioning,const char*);
1439 extern PetscErrorCode  MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1440 extern PetscErrorCode  MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1441 extern PetscErrorCode  MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1442 
1443 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1444 extern const char *MPPTScotchStrategyTypes[];
1445 
1446 extern PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1447 extern PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1448 extern PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1449 extern PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1450 
1451 extern PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1452 extern PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1453 
1454 /*
1455     If you add entries here you must also add them to finclude/petscmat.h
1456 */
1457 typedef enum { MATOP_SET_VALUES=0,
1458                MATOP_GET_ROW=1,
1459                MATOP_RESTORE_ROW=2,
1460                MATOP_MULT=3,
1461                MATOP_MULT_ADD=4,
1462                MATOP_MULT_TRANSPOSE=5,
1463                MATOP_MULT_TRANSPOSE_ADD=6,
1464                MATOP_SOLVE=7,
1465                MATOP_SOLVE_ADD=8,
1466                MATOP_SOLVE_TRANSPOSE=9,
1467                MATOP_SOLVE_TRANSPOSE_ADD=10,
1468                MATOP_LUFACTOR=11,
1469                MATOP_CHOLESKYFACTOR=12,
1470                MATOP_SOR=13,
1471                MATOP_TRANSPOSE=14,
1472                MATOP_GETINFO=15,
1473                MATOP_EQUAL=16,
1474                MATOP_GET_DIAGONAL=17,
1475                MATOP_DIAGONAL_SCALE=18,
1476                MATOP_NORM=19,
1477                MATOP_ASSEMBLY_BEGIN=20,
1478                MATOP_ASSEMBLY_END=21,
1479                MATOP_SET_OPTION=22,
1480                MATOP_ZERO_ENTRIES=23,
1481                MATOP_ZERO_ROWS=24,
1482                MATOP_LUFACTOR_SYMBOLIC=25,
1483                MATOP_LUFACTOR_NUMERIC=26,
1484                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1485                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1486                MATOP_SETUP_PREALLOCATION=29,
1487                MATOP_ILUFACTOR_SYMBOLIC=30,
1488                MATOP_ICCFACTOR_SYMBOLIC=31,
1489                MATOP_GET_ARRAY=32,
1490                MATOP_RESTORE_ARRAY=33,
1491                MATOP_DUPLICATE=34,
1492                MATOP_FORWARD_SOLVE=35,
1493                MATOP_BACKWARD_SOLVE=36,
1494                MATOP_ILUFACTOR=37,
1495                MATOP_ICCFACTOR=38,
1496                MATOP_AXPY=39,
1497                MATOP_GET_SUBMATRICES=40,
1498                MATOP_INCREASE_OVERLAP=41,
1499                MATOP_GET_VALUES=42,
1500                MATOP_COPY=43,
1501                MATOP_GET_ROW_MAX=44,
1502                MATOP_SCALE=45,
1503                MATOP_SHIFT=46,
1504                MATOP_DIAGONAL_SET=47,
1505                MATOP_ILUDT_FACTOR=48,
1506                MATOP_SET_BLOCK_SIZE=49,
1507                MATOP_GET_ROW_IJ=50,
1508                MATOP_RESTORE_ROW_IJ=51,
1509                MATOP_GET_COLUMN_IJ=52,
1510                MATOP_RESTORE_COLUMN_IJ=53,
1511                MATOP_FDCOLORING_CREATE=54,
1512                MATOP_COLORING_PATCH=55,
1513                MATOP_SET_UNFACTORED=56,
1514                MATOP_PERMUTE=57,
1515                MATOP_SET_VALUES_BLOCKED=58,
1516                MATOP_GET_SUBMATRIX=59,
1517                MATOP_DESTROY=60,
1518                MATOP_VIEW=61,
1519                MATOP_CONVERT_FROM=62,
1520                MATOP_USE_SCALED_FORM=63,
1521                MATOP_SCALE_SYSTEM=64,
1522                MATOP_UNSCALE_SYSTEM=65,
1523                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1524                MATOP_SET_VALUES_LOCAL=67,
1525                MATOP_ZERO_ROWS_LOCAL=68,
1526                MATOP_GET_ROW_MAX_ABS=69,
1527                MATOP_GET_ROW_MIN_ABS=70,
1528                MATOP_CONVERT=71,
1529                MATOP_SET_COLORING=72,
1530                MATOP_SET_VALUES_ADIC=73,
1531                MATOP_SET_VALUES_ADIFOR=74,
1532                MATOP_FD_COLORING_APPLY=75,
1533                MATOP_SET_FROM_OPTIONS=76,
1534                MATOP_MULT_CON=77,
1535                MATOP_MULT_TRANSPOSE_CON=78,
1536                MATOP_PERMUTE_SPARSIFY=79,
1537                MATOP_MULT_MULTIPLE=80,
1538                MATOP_SOLVE_MULTIPLE=81,
1539                MATOP_GET_INERTIA=82,
1540                MATOP_LOAD=83,
1541                MATOP_IS_SYMMETRIC=84,
1542                MATOP_IS_HERMITIAN=85,
1543                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1544                MATOP_DUMMY=87,
1545                MATOP_GET_VECS=88,
1546                MATOP_MAT_MULT=89,
1547                MATOP_MAT_MULT_SYMBOLIC=90,
1548                MATOP_MAT_MULT_NUMERIC=91,
1549                MATOP_PTAP=92,
1550                MATOP_PTAP_SYMBOLIC=93,
1551                MATOP_PTAP_NUMERIC=94,
1552                MATOP_MAT_MULTTRANSPOSE=95,
1553                MATOP_MAT_MULTTRANSPOSE_SYM=96,
1554                MATOP_MAT_MULTTRANSPOSE_NUM=97,
1555                MATOP_PTAP_SYMBOLIC_SEQAIJ=98,
1556                MATOP_PTAP_NUMERIC_SEQAIJ=99,
1557                MATOP_PTAP_SYMBOLIC_MPIAIJ=100,
1558                MATOP_PTAP_NUMERIC_MPIAIJ=101,
1559                MATOP_CONJUGATE=102,
1560                MATOP_SET_SIZES=103,
1561                MATOP_SET_VALUES_ROW=104,
1562                MATOP_REAL_PART=105,
1563                MATOP_IMAG_PART=106,
1564                MATOP_GET_ROW_UTRIANGULAR=107,
1565                MATOP_RESTORE_ROW_UTRIANGULAR=108,
1566                MATOP_MATSOLVE=109,
1567                MATOP_GET_REDUNDANTMATRIX=110,
1568                MATOP_GET_ROW_MIN=111,
1569                MATOP_GET_COLUMN_VEC=112,
1570                MATOP_MISSING_DIAGONAL=113,
1571                MATOP_MATGETSEQNONZEROSTRUCTURE=114,
1572                MATOP_CREATE=115,
1573                MATOP_GET_GHOSTS=116,
1574                MATOP_GET_LOCALSUBMATRIX=117,
1575                MATOP_RESTORE_LOCALSUBMATRIX=118,
1576                MATOP_MULT_DIAGONAL_BLOCK=119,
1577                MATOP_HERMITIANTRANSPOSE=120,
1578                MATOP_MULTHERMITIANTRANSPOSE=121,
1579                MATOP_MULTHERMITIANTRANSPOSEADD=122,
1580                MATOP_GETMULTIPROCBLOCK=123,
1581                MATOP_GETCOLUMNNORMS=125,
1582 	       MATOP_GET_SUBMATRICES_PARALLEL=128,
1583                MATOP_SET_VALUES_BATCH=129
1584              } MatOperation;
1585 extern PetscErrorCode  MatHasOperation(Mat,MatOperation,PetscBool *);
1586 extern PetscErrorCode  MatShellSetOperation(Mat,MatOperation,void(*)(void));
1587 extern PetscErrorCode  MatShellGetOperation(Mat,MatOperation,void(**)(void));
1588 extern PetscErrorCode  MatShellSetContext(Mat,void*);
1589 
1590 /*
1591    Codes for matrices stored on disk. By default they are
1592    stored in a universal format. By changing the format with
1593    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1594    be stored in a way natural for the matrix, for example dense matrices
1595    would be stored as dense. Matrices stored this way may only be
1596    read into matrices of the same type.
1597 */
1598 #define MATRIX_BINARY_FORMAT_DENSE -1
1599 
1600 extern PetscErrorCode  MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1601 extern PetscErrorCode  MatISGetLocalMat(Mat,Mat*);
1602 
1603 /*S
1604      MatNullSpace - Object that removes a null space from a vector, i.e.
1605          orthogonalizes the vector to a subsapce
1606 
1607    Level: advanced
1608 
1609   Concepts: matrix; linear operator, null space
1610 
1611   Users manual sections:
1612 .   sec_singular
1613 
1614 .seealso:  MatNullSpaceCreate()
1615 S*/
1616 typedef struct _p_MatNullSpace* MatNullSpace;
1617 
1618 extern PetscErrorCode  MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1619 extern PetscErrorCode  MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1620 extern PetscErrorCode  MatNullSpaceDestroy(MatNullSpace*);
1621 extern PetscErrorCode  MatNullSpaceRemove(MatNullSpace,Vec,Vec*);
1622 extern PetscErrorCode  MatNullSpaceAttach(Mat,MatNullSpace);
1623 extern PetscErrorCode  MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1624 extern PetscErrorCode  MatNullSpaceView(MatNullSpace,PetscViewer);
1625 
1626 extern PetscErrorCode  MatReorderingSeqSBAIJ(Mat,IS);
1627 extern PetscErrorCode  MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1628 extern PetscErrorCode  MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1629 extern PetscErrorCode  MatSeqBAIJInvertBlockDiagonal(Mat);
1630 
1631 extern PetscErrorCode  MatCreateMAIJ(Mat,PetscInt,Mat*);
1632 extern PetscErrorCode  MatMAIJRedimension(Mat,PetscInt,Mat*);
1633 extern PetscErrorCode  MatMAIJGetAIJ(Mat,Mat*);
1634 
1635 extern PetscErrorCode  MatComputeExplicitOperator(Mat,Mat*);
1636 
1637 extern PetscErrorCode  MatDiagonalScaleLocal(Mat,Vec);
1638 
1639 extern PetscErrorCode  MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1640 extern PetscErrorCode  MatMFFDSetBase(Mat,Vec,Vec);
1641 extern PetscErrorCode  MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1642 extern PetscErrorCode  MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1643 extern PetscErrorCode  MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1644 extern PetscErrorCode  MatMFFDAddNullSpace(Mat,MatNullSpace);
1645 extern PetscErrorCode  MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1646 extern PetscErrorCode  MatMFFDResetHHistory(Mat);
1647 extern PetscErrorCode  MatMFFDSetFunctionError(Mat,PetscReal);
1648 extern PetscErrorCode  MatMFFDSetPeriod(Mat,PetscInt);
1649 extern PetscErrorCode  MatMFFDGetH(Mat,PetscScalar *);
1650 extern PetscErrorCode  MatMFFDSetOptionsPrefix(Mat,const char[]);
1651 extern PetscErrorCode  MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1652 extern PetscErrorCode  MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1653 
1654 /*S
1655     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1656               Jacobian vector products
1657 
1658     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1659 
1660            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1661 
1662     Level: developer
1663 
1664 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1665 S*/
1666 typedef struct _p_MatMFFD* MatMFFD;
1667 
1668 /*E
1669     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1670 
1671    Level: beginner
1672 
1673 .seealso: MatMFFDSetType(), MatMFFDRegister()
1674 E*/
1675 #define MatMFFDType char*
1676 #define MATMFFD_DS  "ds"
1677 #define MATMFFD_WP  "wp"
1678 
1679 extern PetscErrorCode  MatMFFDSetType(Mat,const MatMFFDType);
1680 extern PetscErrorCode  MatMFFDRegister(const char[],const char[],const char[],PetscErrorCode (*)(MatMFFD));
1681 
1682 /*MC
1683    MatMFFDRegisterDynamic - Adds a method to the MatMFFD registry.
1684 
1685    Synopsis:
1686    PetscErrorCode MatMFFDRegisterDynamic(const char *name_solver,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatMFFD))
1687 
1688    Not Collective
1689 
1690    Input Parameters:
1691 +  name_solver - name of a new user-defined compute-h module
1692 .  path - path (either absolute or relative) the library containing this solver
1693 .  name_create - name of routine to create method context
1694 -  routine_create - routine to create method context
1695 
1696    Level: developer
1697 
1698    Notes:
1699    MatMFFDRegisterDynamic() may be called multiple times to add several user-defined solvers.
1700 
1701    If dynamic libraries are used, then the fourth input argument (routine_create)
1702    is ignored.
1703 
1704    Sample usage:
1705 .vb
1706    MatMFFDRegisterDynamic("my_h",/home/username/my_lib/lib/libO/solaris/mylib.a,
1707                "MyHCreate",MyHCreate);
1708 .ve
1709 
1710    Then, your solver can be chosen with the procedural interface via
1711 $     MatMFFDSetType(mfctx,"my_h")
1712    or at runtime via the option
1713 $     -snes_mf_type my_h
1714 
1715 .keywords: MatMFFD, register
1716 
1717 .seealso: MatMFFDRegisterAll(), MatMFFDRegisterDestroy()
1718 M*/
1719 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1720 #define MatMFFDRegisterDynamic(a,b,c,d) MatMFFDRegister(a,b,c,0)
1721 #else
1722 #define MatMFFDRegisterDynamic(a,b,c,d) MatMFFDRegister(a,b,c,d)
1723 #endif
1724 
1725 extern PetscErrorCode  MatMFFDRegisterAll(const char[]);
1726 extern PetscErrorCode  MatMFFDRegisterDestroy(void);
1727 extern PetscErrorCode  MatMFFDDSSetUmin(Mat,PetscReal);
1728 extern PetscErrorCode  MatMFFDWPSetComputeNormU(Mat,PetscBool );
1729 
1730 
1731 extern PetscErrorCode  PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1732 extern PetscErrorCode  PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1733 
1734 /*
1735    PETSc interface to MUMPS
1736 */
1737 #ifdef PETSC_HAVE_MUMPS
1738 extern PetscErrorCode  MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1739 #endif
1740 
1741 /*
1742    PETSc interface to SUPERLU
1743 */
1744 #ifdef PETSC_HAVE_SUPERLU
1745 extern PetscErrorCode  MatSuperluSetILUDropTol(Mat,PetscReal);
1746 #endif
1747 
1748 #if defined(PETSC_HAVE_CUSP)
1749 extern PetscErrorCode  MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1750 extern PetscErrorCode  MatCreateMPIAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1751 #endif
1752 
1753 /*
1754    PETSc interface to FFTW
1755 */
1756 #if defined(PETSC_HAVE_FFTW)
1757 extern PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1758 extern PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1759 extern PetscErrorCode MatGetVecsFFTW(Mat,Vec*,Vec*,Vec*);
1760 #endif
1761 
1762 extern PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1763 extern PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1764 extern PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1765 extern PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1766 extern PetscErrorCode MatNestSetVecType(Mat,const VecType);
1767 extern PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1768 extern PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1769 
1770 PETSC_EXTERN_CXX_END
1771 #endif
1772