xref: /petsc/include/petscmat.h (revision 62ee7b531d0e23f5e4a848c2f94f4fd5b5338303)
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 MATSEQMAIJ         "seqmaij"
32 #define MATMPIMAIJ         "mpimaij"
33 #define MATMAIJ            "maij"
34 #define MATIS              "is"
35 #define MATSEQAIJ          "seqaij"
36 #define MATMPIAIJ          "mpiaij"
37 #define MATAIJ             "aij"
38 #define MATSHELL           "shell"
39 #define MATSEQDENSE        "seqdense"
40 #define MATMPIDENSE        "mpidense"
41 #define MATDENSE           "dense"
42 #define MATSEQBAIJ         "seqbaij"
43 #define MATMPIBAIJ         "mpibaij"
44 #define MATBAIJ            "baij"
45 #define MATMPIADJ          "mpiadj"
46 #define MATSEQSBAIJ        "seqsbaij"
47 #define MATMPISBAIJ        "mpisbaij"
48 #define MATSBAIJ           "sbaij"
49 #define MATDAAD            "daad"
50 #define MATMFFD            "mffd"
51 #define MATNORMAL          "normal"
52 #define MATLRC             "lrc"
53 #define MATSEQCSRPERM      "seqcsrperm"
54 #define MATMPICSRPERM      "mpicsrperm"
55 #define MATCSRPERM         "csrperm"
56 #define MATSEQCRL          "seqcrl"
57 #define MATMPICRL          "mpicrl"
58 #define MATCRL             "crl"
59 #define MATSCATTER         "scatter"
60 #define MATBLOCKMAT        "blockmat"
61 #define MATCOMPOSITE       "composite"
62 #define MATSEQFFTW         "seqfftw"
63 #define MATTRANSPOSEMAT    "transpose"
64 #define MATSCHURCOMPLEMENT "schurcomplement"
65 #define MATPYTHON          "python"
66 #define MATHYPRESTRUCT     "hyprestruct"
67 #define MATHYPRESSTRUCT    "hypresstruct"
68 #define MATSUBMATRIX       "submatrix"
69 
70 
71 #define MATFWK             "matfwk"
72 
73 
74 /*E
75     MatSolverPackage - String with the name of a PETSc matrix solver type.
76 
77     For example: "petsc" indicates what PETSc provides, "superlu" indicates either
78        SuperLU or SuperLU_Dist etc.
79 
80 
81    Level: beginner
82 
83 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
84 E*/
85 #define MatSolverPackage char*
86 #define MAT_SOLVER_SPOOLES      "spooles"
87 #define MAT_SOLVER_SUPERLU      "superlu"
88 #define MAT_SOLVER_SUPERLU_DIST "superlu_dist"
89 #define MAT_SOLVER_UMFPACK      "umfpack"
90 #define MAT_SOLVER_ESSL         "essl"
91 #define MAT_SOLVER_LUSOL        "lusol"
92 #define MAT_SOLVER_MUMPS        "mumps"
93 #define MAT_SOLVER_PASTIX       "pastix"
94 #define MAT_SOLVER_DSCPACK      "dscpack"
95 #define MAT_SOLVER_MATLAB       "matlab"
96 #define MAT_SOLVER_PETSC        "petsc"
97 #define MAT_SOLVER_PLAPACK      "plapack"
98 #define MAT_SOLVER_BAS          "bas"
99 
100 /*E
101     MatFactorType - indicates what type of factorization is requested
102 
103     Level: beginner
104 
105    Any additions/changes here MUST also be made in include/finclude/petscmat.h
106 
107 .seealso: MatSolverPackage, MatGetFactor()
108 E*/
109 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
110 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
111 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscTruth*);
112 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
113 
114 
115 /* Logging support */
116 #define    MAT_FILE_COOKIE 1211216    /* used to indicate matrices in binary files */
117 extern PetscCookie PETSCMAT_DLLEXPORT MAT_COOKIE;
118 extern PetscCookie PETSCMAT_DLLEXPORT MAT_FDCOLORING_COOKIE;
119 extern PetscCookie PETSCMAT_DLLEXPORT MAT_PARTITIONING_COOKIE;
120 extern PetscCookie PETSCMAT_DLLEXPORT MAT_NULLSPACE_COOKIE;
121 extern PetscCookie PETSCMAT_DLLEXPORT MATMFFD_COOKIE;
122 
123 /*E
124     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
125      or MatGetSubMatrix() are to be reused to store the new matrix values.
126 
127     Level: beginner
128 
129    Any additions/changes here MUST also be made in include/finclude/petscmat.h
130 
131 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
132 E*/
133 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX} MatReuse;
134 
135 /*E
136     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
137      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
138 
139     Level: beginner
140 
141 .seealso: MatGetSeqNonzerostructure()
142 E*/
143 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
144 
145 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatInitializePackage(const char[]);
146 
147 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreate(MPI_Comm,Mat*);
148 PetscPolymorphicFunction(MatCreate,(MPI_Comm comm),(comm,&A),Mat,A)
149 PetscPolymorphicFunction(MatCreate,(),(PETSC_COMM_WORLD,&A),Mat,A)
150 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
151 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetType(Mat,const MatType);
152 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetFromOptions(Mat);
153 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetUpPreallocation(Mat);
154 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatRegisterAll(const char[]);
155 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat));
156 
157 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetOptionsPrefix(Mat,const char[]);
158 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatAppendOptionsPrefix(Mat,const char[]);
159 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetOptionsPrefix(Mat,const char*[]);
160 
161 /*MC
162    MatRegisterDynamic - Adds a new matrix type
163 
164    Synopsis:
165    PetscErrorCode MatRegisterDynamic(char *name,char *path,char *name_create,PetscErrorCode (*routine_create)(Mat))
166 
167    Not Collective
168 
169    Input Parameters:
170 +  name - name of a new user-defined matrix type
171 .  path - path (either absolute or relative) the library containing this solver
172 .  name_create - name of routine to create method context
173 -  routine_create - routine to create method context
174 
175    Notes:
176    MatRegisterDynamic() may be called multiple times to add several user-defined solvers.
177 
178    If dynamic libraries are used, then the fourth input argument (routine_create)
179    is ignored.
180 
181    Sample usage:
182 .vb
183    MatRegisterDynamic("my_mat",/home/username/my_lib/lib/libO/solaris/mylib.a,
184                "MyMatCreate",MyMatCreate);
185 .ve
186 
187    Then, your solver can be chosen with the procedural interface via
188 $     MatSetType(Mat,"my_mat")
189    or at runtime via the option
190 $     -mat_type my_mat
191 
192    Level: advanced
193 
194    Notes: ${PETSC_ARCH} occuring in pathname will be replaced with appropriate values.
195          If your function is not being put into a shared library then use VecRegister() instead
196 
197 .keywords: Mat, register
198 
199 .seealso: MatRegisterAll(), MatRegisterDestroy()
200 
201 M*/
202 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
203 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,0)
204 #else
205 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,d)
206 #endif
207 
208 extern PetscTruth MatRegisterAllCalled;
209 extern PetscFList MatList;
210 extern PetscFList MatColoringList;
211 extern PetscFList MatPartitioningList;
212 
213 /*E
214     MatStructure - Indicates if the matrix has the same nonzero structure
215 
216     Level: beginner
217 
218    Any additions/changes here MUST also be made in include/finclude/petscmat.h
219 
220 .seealso: MatCopy(), KSPSetOperators(), PCSetOperators()
221 E*/
222 typedef enum {SAME_NONZERO_PATTERN,DIFFERENT_NONZERO_PATTERN,SAME_PRECONDITIONER,SUBSET_NONZERO_PATTERN} MatStructure;
223 
224 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
225 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateMPIDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
226 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
227 PetscPolymorphicFunction(MatCreateSeqAIJ,(PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[]),(PETSC_COMM_SELF,m,n,nz,nnz,&A),Mat,A)
228 PetscPolymorphicFunction(MatCreateSeqAIJ,(PetscInt m,PetscInt n,PetscInt nz),(PETSC_COMM_SELF,m,n,nz,PETSC_NULL,&A),Mat,A)
229 PetscPolymorphicFunction(MatCreateSeqAIJ,(PetscInt m,PetscInt n,const PetscInt nnz[]),(PETSC_COMM_SELF,m,n,0,nnz,&A),Mat,A)
230 PetscPolymorphicFunction(MatCreateSeqAIJ,(PetscInt m,PetscInt n),(PETSC_COMM_SELF,m,n,0,PETSC_NULL,&A),Mat,A)
231 PetscPolymorphicSubroutine(MatCreateSeqAIJ,(PetscInt m,PetscInt n,PetscInt nz,Mat *A),(PETSC_COMM_SELF,m,n,nz,PETSC_NULL,A))
232 PetscPolymorphicSubroutine(MatCreateSeqAIJ,(PetscInt m,PetscInt n,const PetscInt nnz[],Mat *A),(PETSC_COMM_SELF,m,n,0,nnz,A))
233 PetscPolymorphicSubroutine(MatCreateSeqAIJ,(PetscInt m,PetscInt n,Mat *A),(PETSC_COMM_SELF,m,n,0,PETSC_NULL,A))
234 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateMPIAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
235 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)
236 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)
237 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)
238 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)
239 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))
240 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))
241 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))
242 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)
243 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)
244 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)
245 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)
246 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))
247 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))
248 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))
249 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
250 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
251 
252 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
253 PetscPolymorphicFunction(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[]),(PETSC_COMM_SELF,bs,m,n,nz,nnz,&A),Mat,A)
254 PetscPolymorphicFunction(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz),(PETSC_COMM_SELF,bs,m,n,nz,PETSC_NULL,&A),Mat,A)
255 PetscPolymorphicFunction(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,const PetscInt nnz[]),(PETSC_COMM_SELF,bs,m,n,0,nnz,&A),Mat,A)
256 PetscPolymorphicFunction(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n),(PETSC_COMM_SELF,bs,m,n,0,PETSC_NULL,&A),Mat,A)
257 PetscPolymorphicSubroutine(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,Mat *A),(PETSC_COMM_SELF,bs,m,n,nz,PETSC_NULL,A))
258 PetscPolymorphicSubroutine(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,const PetscInt nnz[],Mat *A),(PETSC_COMM_SELF,bs,m,n,0,nnz,A))
259 PetscPolymorphicSubroutine(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,Mat *A),(PETSC_COMM_SELF,bs,m,n,0,PETSC_NULL,A))
260 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateMPIBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
261 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)
262 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)
263 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)
264 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)
265 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))
266 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))
267 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))
268 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)
269 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)
270 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)
271 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)
272 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))
273 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))
274 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))
275 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
276 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
277 PetscPolymorphicFunction(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[]),(PETSC_COMM_SELF,bs,m,n,nz,nnz,&A),Mat,A)
278 PetscPolymorphicFunction(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz),(PETSC_COMM_SELF,bs,m,n,nz,PETSC_NULL,&A),Mat,A)
279 PetscPolymorphicFunction(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,const PetscInt nnz[]),(PETSC_COMM_SELF,bs,m,n,0,nnz,&A),Mat,A)
280 PetscPolymorphicFunction(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n),(PETSC_COMM_SELF,bs,m,n,0,PETSC_NULL,&A),Mat,A)
281 PetscPolymorphicSubroutine(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,Mat *A),(PETSC_COMM_SELF,bs,m,n,nz,PETSC_NULL,A))
282 PetscPolymorphicSubroutine(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,const PetscInt nnz[],Mat *A),(PETSC_COMM_SELF,bs,m,n,0,nnz,A))
283 PetscPolymorphicSubroutine(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,Mat *A),(PETSC_COMM_SELF,bs,m,n,0,PETSC_NULL,A))
284 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateMPISBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
285 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)
286 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)
287 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)
288 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)
289 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))
290 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))
291 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))
292 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)
293 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)
294 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)
295 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)
296 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))
297 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))
298 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))
299 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
300 PetscPolymorphicFunction(MatCreateShell,(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N,void *ctx),(comm,m,n,M,N,ctx,&A),Mat,A)
301 PetscPolymorphicFunction(MatCreateShell,(PetscInt m,PetscInt n,PetscInt M,PetscInt N,void *ctx),(PETSC_COMM_WORLD,m,n,M,N,ctx,&A),Mat,A)
302 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateAdic(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,void (*)(void),Mat*);
303 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateNormal(Mat,Mat*);
304 PetscPolymorphicFunction(MatCreateNormal,(Mat mat),(mat,&A),Mat,A)
305 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateLRC(Mat,Mat,Mat,Mat*);
306 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,Mat*);
307 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateSeqCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
308 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateMPICRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
309 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateScatter(MPI_Comm,VecScatter,Mat*);
310 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatScatterSetVecScatter(Mat,VecScatter);
311 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatScatterGetVecScatter(Mat,VecScatter*);
312 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
313 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCompositeAddMat(Mat,Mat);
314 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCompositeMerge(Mat);
315 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
316 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
317 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCompositeSetType(Mat,MatCompositeType);
318 
319 typedef enum {MATFWK_BLOCK_COMM_DEFAULT = 0, MATFWK_BLOCK_COMM_SELF = -1, MATFWK_BLOCK_COMM_DETERMINE = -2} MatFwkBlockCommType;
320 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFwkAIJSetPreallocation(Mat A,PetscInt nz,PetscInt *nnz);
321 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFwkGetDefaltBlockType(Mat A, const MatType *type);
322 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFwkSetDefaltBlockType(Mat A, const MatType type);
323 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFwkSetPreallocation_AIJ(Mat A,PetscInt nz,PetscInt *nnz);
324 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFwkAddBlock(Mat A, PetscInt rowblock, PetscInt colblock, const MatType blockmattype,  MatFwkBlockCommType blockcommtype, Mat *block);
325 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFwkSetBlock(Mat A, PetscInt rowblock, PetscInt colblock, Mat block);
326 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFwkGetBlock(Mat A, PetscInt rowblock, PetscInt colblock, Mat *block);
327 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFwkSetScatters(Mat A, PetscInt blockcount, Mat scatters[]);
328 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFwkSetGathers(Mat A, PetscInt blockcount,  Mat gathers[]);
329 
330 
331 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateSeqFFTW(MPI_Comm,PetscInt,const PetscInt[],Mat*);
332 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateTranspose(Mat,Mat*);
333 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateSubMatrix(Mat,IS,IS,Mat*);
334 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSubMatrixUpdate(Mat,Mat,IS,IS);
335 
336 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreatePython(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const char[],Mat*);
337 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPythonSetType(Mat,const char[]);
338 
339 
340 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetUp(Mat);
341 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatDestroy(Mat);
342 
343 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatConjugate(Mat);
344 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatRealPart(Mat);
345 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatImaginaryPart(Mat);
346 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetDiagonalBlock(Mat,PetscTruth*,MatReuse,Mat*);
347 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetTrace(Mat,PetscScalar*);
348 
349 /* ------------------------------------------------------------*/
350 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
351 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
352 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
353 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
354 
355 /*S
356      MatStencil - Data structure (C struct) for storing information about a single row or
357         column of a matrix as index on an associated grid.
358 
359    Level: beginner
360 
361   Concepts: matrix; linear operator
362 
363 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockStencil()
364 S*/
365 typedef struct {
366   PetscInt k,j,i,c;
367 } MatStencil;
368 
369 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
370 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
371 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
372 
373 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetColoring(Mat,ISColoring);
374 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesAdic(Mat,void*);
375 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesAdifor(Mat,PetscInt,void*);
376 
377 /*E
378     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
379      to continue to add values to it
380 
381     Level: beginner
382 
383 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
384 E*/
385 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
386 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatAssemblyBegin(Mat,MatAssemblyType);
387 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatAssemblyEnd(Mat,MatAssemblyType);
388 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatAssembled(Mat,PetscTruth*);
389 
390 
391 
392 /*E
393     MatOption - Options that may be set for a matrix and its behavior or storage
394 
395     Level: beginner
396 
397    Any additions/changes here MUST also be made in include/finclude/petscmat.h
398 
399 .seealso: MatSetOption()
400 E*/
401 typedef enum {MAT_ROW_ORIENTED,MAT_NEW_NONZERO_LOCATIONS,
402               MAT_SYMMETRIC,
403               MAT_STRUCTURALLY_SYMMETRIC,
404               MAT_NEW_DIAGONALS,MAT_IGNORE_OFF_PROC_ENTRIES,
405               MAT_NEW_NONZERO_LOCATION_ERR,
406               MAT_NEW_NONZERO_ALLOCATION_ERR,MAT_USE_HASH_TABLE,
407               MAT_KEEP_NONZERO_PATTERN,MAT_IGNORE_ZERO_ENTRIES,
408               MAT_USE_INODES,
409               MAT_HERMITIAN,
410               MAT_SYMMETRY_ETERNAL,
411               MAT_USE_COMPRESSEDROW,
412               MAT_IGNORE_LOWER_TRIANGULAR,MAT_ERROR_LOWER_TRIANGULAR,
413               MAT_GETROW_UPPERTRIANGULAR,MAT_UNUSED_NONZERO_LOCATION_ERR,
414               NUM_MAT_OPTIONS} MatOption;
415 extern const char *MatOptions[];
416 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetOption(Mat,MatOption,PetscTruth);
417 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetType(Mat,const MatType*);
418 PetscPolymorphicFunction(MatGetType,(Mat mat),(mat,&t),const MatType,t)
419 
420 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
421 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
422 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
423 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowUpperTriangular(Mat);
424 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatRestoreRowUpperTriangular(Mat);
425 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
426 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
427 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetColumnVector(Mat,Vec,PetscInt);
428 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetArray(Mat,PetscScalar *[]);
429 PetscPolymorphicFunction(MatGetArray,(Mat mat),(mat,&a),PetscScalar*,a)
430 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatRestoreArray(Mat,PetscScalar *[]);
431 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetBlockSize(Mat,PetscInt *);
432 PetscPolymorphicFunction(MatGetBlockSize,(Mat mat),(mat,&a),PetscInt,a)
433 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetBlockSize(Mat,PetscInt);
434 
435 
436 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMult(Mat,Vec,Vec);
437 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMultDiagonalBlock(Mat,Vec,Vec);
438 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMultAdd(Mat,Vec,Vec,Vec);
439 PetscPolymorphicSubroutine(MatMultAdd,(Mat A,Vec x,Vec y),(A,x,y,y))
440 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMultTranspose(Mat,Vec,Vec);
441 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMultHermitianTranspose(Mat,Vec,Vec);
442 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatIsTranspose(Mat,Mat,PetscReal,PetscTruth*);
443 PetscPolymorphicFunction(MatIsTranspose,(Mat A,Mat B,PetscReal tol),(A,B,tol,&t),PetscTruth,t)
444 PetscPolymorphicFunction(MatIsTranspose,(Mat A,Mat B),(A,B,0,&t),PetscTruth,t)
445 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscTruth*);
446 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMultTransposeAdd(Mat,Vec,Vec,Vec);
447 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
448 PetscPolymorphicSubroutine(MatMultTransposeAdd,(Mat A,Vec x,Vec y),(A,x,y,y))
449 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMultConstrained(Mat,Vec,Vec);
450 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMultTransposeConstrained(Mat,Vec,Vec);
451 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMatSolve(Mat,Mat,Mat);
452 
453 /*E
454     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
455   its numerical values copied over or just its nonzero structure.
456 
457     Level: beginner
458 
459    Any additions/changes here MUST also be made in include/finclude/petscmat.h
460 
461 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
462 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
463 $                               have several matrices with the same nonzero pattern.
464 
465 .seealso: MatDuplicate()
466 E*/
467 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
468 
469 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatConvert(Mat,const MatType,MatReuse,Mat*);
470 PetscPolymorphicFunction(MatConvert,(Mat A,const MatType t),(A,t,MAT_INITIAL_MATRIX,&a),Mat,a)
471 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatDuplicate(Mat,MatDuplicateOption,Mat*);
472 PetscPolymorphicFunction(MatDuplicate,(Mat A,MatDuplicateOption o),(A,o,&a),Mat,a)
473 PetscPolymorphicFunction(MatDuplicate,(Mat A),(A,MAT_COPY_VALUES,&a),Mat,a)
474 
475 
476 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCopy(Mat,Mat,MatStructure);
477 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatView(Mat,PetscViewer);
478 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatIsSymmetric(Mat,PetscReal,PetscTruth*);
479 PetscPolymorphicFunction(MatIsSymmetric,(Mat A,PetscReal tol),(A,tol,&t),PetscTruth,t)
480 PetscPolymorphicFunction(MatIsSymmetric,(Mat A),(A,0,&t),PetscTruth,t)
481 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatIsStructurallySymmetric(Mat,PetscTruth*);
482 PetscPolymorphicFunction(MatIsStructurallySymmetric,(Mat A),(A,&t),PetscTruth,t)
483 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatIsHermitian(Mat,PetscReal,PetscTruth*);
484 PetscPolymorphicFunction(MatIsHermitian,(Mat A),(A,0,&t),PetscTruth,t)
485 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatIsSymmetricKnown(Mat,PetscTruth*,PetscTruth*);
486 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatIsHermitianKnown(Mat,PetscTruth*,PetscTruth*);
487 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMissingDiagonal(Mat,PetscTruth *,PetscInt *);
488 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatLoad(PetscViewer,const MatType,Mat*);
489 PetscPolymorphicFunction(MatLoad,(PetscViewer v,const MatType t),(v,t,&a),Mat,a)
490 
491 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowIJ(Mat,PetscInt,PetscTruth,PetscTruth,PetscInt*,PetscInt *[],PetscInt *[],PetscTruth *);
492 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatRestoreRowIJ(Mat,PetscInt,PetscTruth,PetscTruth,PetscInt *,PetscInt *[],PetscInt *[],PetscTruth *);
493 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetColumnIJ(Mat,PetscInt,PetscTruth,PetscTruth,PetscInt*,PetscInt *[],PetscInt *[],PetscTruth *);
494 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatRestoreColumnIJ(Mat,PetscInt,PetscTruth,PetscTruth,PetscInt *,PetscInt *[],PetscInt *[],PetscTruth *);
495 
496 /*S
497      MatInfo - Context of matrix information, used with MatGetInfo()
498 
499    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
500 
501    Level: intermediate
502 
503   Concepts: matrix^nonzero information
504 
505 .seealso:  MatGetInfo(), MatInfoType
506 S*/
507 typedef struct {
508   PetscLogDouble block_size;                         /* block size */
509   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
510   PetscLogDouble memory;                             /* memory allocated */
511   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
512   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
513   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
514   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
515 } MatInfo;
516 
517 /*E
518     MatInfoType - Indicates if you want information about the local part of the matrix,
519      the entire parallel matrix or the maximum over all the local parts.
520 
521     Level: beginner
522 
523    Any additions/changes here MUST also be made in include/finclude/petscmat.h
524 
525 .seealso: MatGetInfo(), MatInfo
526 E*/
527 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
528 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetInfo(Mat,MatInfoType,MatInfo*);
529 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatValid(Mat,PetscTruth*);
530 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetDiagonal(Mat,Vec);
531 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowMax(Mat,Vec,PetscInt[]);
532 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowMin(Mat,Vec,PetscInt[]);
533 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
534 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowMinAbs(Mat,Vec,PetscInt[]);
535 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowSum(Mat,Vec);
536 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatTranspose(Mat,MatReuse,Mat*);
537 PetscPolymorphicFunction(MatTranspose,(Mat A),(A,MAT_INITIAL_MATRIX,&t),Mat,t)
538 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatHermitianTranspose(Mat,MatReuse,Mat*);
539 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPermute(Mat,IS,IS,Mat *);
540 PetscPolymorphicFunction(MatPermute,(Mat A,IS is1,IS is2),(A,is1,is2,&t),Mat,t)
541 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPermuteSparsify(Mat,PetscInt,PetscReal,PetscReal,IS,IS,Mat *);
542 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatDiagonalScale(Mat,Vec,Vec);
543 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatDiagonalSet(Mat,Vec,InsertMode);
544 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatEqual(Mat,Mat,PetscTruth*);
545 PetscPolymorphicFunction(MatEqual,(Mat A,Mat B),(A,B,&t),PetscTruth,t)
546 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMultEqual(Mat,Mat,PetscInt,PetscTruth*);
547 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMultAddEqual(Mat,Mat,PetscInt,PetscTruth*);
548 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMultTransposeEqual(Mat,Mat,PetscInt,PetscTruth*);
549 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscTruth*);
550 
551 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatNorm(Mat,NormType,PetscReal *);
552 PetscPolymorphicFunction(MatNorm,(Mat A,NormType t),(A,t,&n),PetscReal,n)
553 EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal *);
554 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatZeroEntries(Mat);
555 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar);
556 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatZeroRowsIS(Mat,IS,PetscScalar);
557 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatZeroColumns(Mat,PetscInt,const PetscInt [],const PetscScalar*);
558 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatZeroColumnsIS(Mat,IS,const PetscScalar*);
559 
560 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatUseScaledForm(Mat,PetscTruth);
561 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatScaleSystem(Mat,Vec,Vec);
562 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatUnScaleSystem(Mat,Vec,Vec);
563 
564 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetSize(Mat,PetscInt*,PetscInt*);
565 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetLocalSize(Mat,PetscInt*,PetscInt*);
566 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
567 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetOwnershipRanges(Mat,const PetscInt**);
568 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
569 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetOwnershipRangesColumn(Mat,const PetscInt**);
570 
571 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
572 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatDestroyMatrices(PetscInt,Mat *[]);
573 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
574 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetSeqNonzeroStructure(Mat,Mat*);
575 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatDestroySeqNonzeroStructure(Mat*);
576 
577 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMerge(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
578 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMerge_SeqsToMPI(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
579 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMerge_SeqsToMPISymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
580 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMerge_SeqsToMPINumeric(Mat,Mat);
581 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatDestroy_MPIAIJ_SeqsToMPI(Mat);
582 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetLocalMat(Mat,MatReuse,Mat*);
583 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
584 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,PetscInt*,Mat*);
585 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetBrowsOfAoCols(Mat,Mat,MatReuse,PetscInt**,PetscInt**,MatScalar**,Mat*);
586 #if defined (PETSC_USE_CTABLE)
587 #include "petscctable.h"
588 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetCommunicationStructs(Mat, Vec *, PetscTable *, VecScatter *);
589 #else
590 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetCommunicationStructs(Mat, Vec *, PetscInt *[], VecScatter *);
591 #endif
592 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
593 
594 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
595 
596 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
597 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
598 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMatMultNumeric(Mat,Mat,Mat);
599 
600 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
601 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
602 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPtAPNumeric(Mat,Mat,Mat);
603 
604 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMatMultTranspose(Mat,Mat,MatReuse,PetscReal,Mat*);
605 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMatMultTransposeSymbolic(Mat,Mat,PetscReal,Mat*);
606 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMatMultTransposeNumeric(Mat,Mat,Mat);
607 
608 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatAXPY(Mat,PetscScalar,Mat,MatStructure);
609 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatAYPX(Mat,PetscScalar,Mat,MatStructure);
610 
611 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatScale(Mat,PetscScalar);
612 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatShift(Mat,PetscScalar);
613 
614 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping);
615 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping);
616 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar);
617 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatZeroRowsLocalIS(Mat,IS,PetscScalar);
618 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
619 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
620 
621 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatStashSetInitialSize(Mat,PetscInt,PetscInt);
622 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
623 
624 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatInterpolate(Mat,Vec,Vec);
625 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatInterpolateAdd(Mat,Vec,Vec,Vec);
626 PetscPolymorphicSubroutine(MatInterpolateAdd,(Mat A,Vec x,Vec y),(A,x,y,y))
627 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatRestrict(Mat,Vec,Vec);
628 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetVecs(Mat,Vec*,Vec*);
629 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetRedundantMatrix(Mat,PetscInt,MPI_Comm,PetscInt,MatReuse,Mat*);
630 
631 /*MC
632    MatSetValue - Set a single entry into a matrix.
633 
634    Not collective
635 
636    Input Parameters:
637 +  m - the matrix
638 .  row - the row location of the entry
639 .  col - the column location of the entry
640 .  value - the value to insert
641 -  mode - either INSERT_VALUES or ADD_VALUES
642 
643    Notes:
644    For efficiency one should use MatSetValues() and set several or many
645    values simultaneously if possible.
646 
647    Level: beginner
648 
649 .seealso: MatSetValues(), MatSetValueLocal()
650 M*/
651 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
652 
653 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
654 
655 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
656 
657 /*MC
658    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
659        row in a matrix providing the data that one can use to correctly preallocate the matrix.
660 
661    Synopsis:
662    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
663 
664    Collective on MPI_Comm
665 
666    Input Parameters:
667 +  comm - the communicator that will share the eventually allocated matrix
668 .  nrows - the number of LOCAL rows in the matrix
669 -  ncols - the number of LOCAL columns in the matrix
670 
671    Output Parameters:
672 +  dnz - the array that will be passed to the matrix preallocation routines
673 -  ozn - the other array passed to the matrix preallocation routines
674 
675 
676    Level: intermediate
677 
678    Notes:
679    See the chapter in the users manual on performance for more details
680 
681    Do not malloc or free dnz and onz, that is handled internally by these routines
682 
683    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
684 
685    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
686 
687   Concepts: preallocation^Matrix
688 
689 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
690           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
691 M*/
692 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
693 { \
694   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
695   _4_ierr = PetscMalloc2(__nrows,PetscInt,&dnz,__nrows,PetscInt,&onz);CHKERRQ(_4_ierr); \
696   _4_ierr = PetscMemzero(dnz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
697   _4_ierr = PetscMemzero(onz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
698   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
699   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
700 
701 /*MC
702    MatPreallocateSymmetricInitialize - Begins the block of code that will count the number of nonzeros per
703        row in a matrix providing the data that one can use to correctly preallocate the matrix.
704 
705    Synopsis:
706    PetscErrorCode MatPreallocateSymmetricInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
707 
708    Collective on MPI_Comm
709 
710    Input Parameters:
711 +  comm - the communicator that will share the eventually allocated matrix
712 .  nrows - the number of LOCAL rows in the matrix
713 -  ncols - the number of LOCAL columns in the matrix
714 
715    Output Parameters:
716 +  dnz - the array that will be passed to the matrix preallocation routines
717 -  ozn - the other array passed to the matrix preallocation routines
718 
719 
720    Level: intermediate
721 
722    Notes:
723    See the chapter in the users manual on performance for more details
724 
725    Do not malloc or free dnz and onz, that is handled internally by these routines
726 
727    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
728 
729   Concepts: preallocation^Matrix
730 
731 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
732           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
733 M*/
734 #define MatPreallocateSymmetricInitialize(comm,nrows,ncols,dnz,onz) 0; \
735 { \
736   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__end; \
737   _4_ierr = PetscMalloc2(__nrows,PetscInt,&dnz,__nrows,PetscInt,&onz);CHKERRQ(_4_ierr); \
738   _4_ierr = PetscMemzero(dnz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
739   _4_ierr = PetscMemzero(onz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
740   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr);\
741   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
742 
743 /*MC
744    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
745        inserted using a local number of the rows and columns
746 
747    Synopsis:
748    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
749 
750    Not Collective
751 
752    Input Parameters:
753 +  map - the mapping between local numbering and global numbering
754 .  nrows - the number of rows indicated
755 .  rows - the indices of the rows
756 .  ncols - the number of columns in the matrix
757 .  cols - the columns indicated
758 .  dnz - the array that will be passed to the matrix preallocation routines
759 -  ozn - the other array passed to the matrix preallocation routines
760 
761 
762    Level: intermediate
763 
764    Notes:
765    See the chapter in the users manual on performance for more details
766 
767    Do not malloc or free dnz and onz, that is handled internally by these routines
768 
769   Concepts: preallocation^Matrix
770 
771 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
772           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
773 M*/
774 #define MatPreallocateSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
775 {\
776   PetscInt __l;\
777   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
778   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
779   for (__l=0;__l<nrows;__l++) {\
780     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
781   }\
782 }
783 
784 /*MC
785    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
786        inserted using a local number of the rows and columns
787 
788    Synopsis:
789    PetscErrorCode MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
790 
791    Not Collective
792 
793    Input Parameters:
794 +  map - the mapping between local numbering and global numbering
795 .  nrows - the number of rows indicated
796 .  rows - the indices of the rows
797 .  ncols - the number of columns in the matrix
798 .  cols - the columns indicated
799 .  dnz - the array that will be passed to the matrix preallocation routines
800 -  ozn - the other array passed to the matrix preallocation routines
801 
802 
803    Level: intermediate
804 
805    Notes:
806    See the chapter in the users manual on performance for more details
807 
808    Do not malloc or free dnz and onz that is handled internally by these routines
809 
810   Concepts: preallocation^Matrix
811 
812 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
813           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
814 M*/
815 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
816 {\
817   PetscInt __l;\
818   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
819   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
820   for (__l=0;__l<nrows;__l++) {\
821     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
822   }\
823 }
824 
825 /*MC
826    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
827        inserted using a local number of the rows and columns
828 
829    Synopsis:
830    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
831 
832    Not Collective
833 
834    Input Parameters:
835 +  row - the row
836 .  ncols - the number of columns in the matrix
837 -  cols - the columns indicated
838 
839    Output Parameters:
840 +  dnz - the array that will be passed to the matrix preallocation routines
841 -  ozn - the other array passed to the matrix preallocation routines
842 
843 
844    Level: intermediate
845 
846    Notes:
847    See the chapter in the users manual on performance for more details
848 
849    Do not malloc or free dnz and onz that is handled internally by these routines
850 
851    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
852 
853   Concepts: preallocation^Matrix
854 
855 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
856           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
857 M*/
858 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
859 { PetscInt __i; \
860   if (row < __rstart) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Trying to set preallocation for row %D less than first local row %D",row,__rstart);\
861   if (row >= __rstart+__nrows) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Trying to set preallocation for row %D greater than last local row %D",row,__rstart+__nrows-1);\
862   for (__i=0; __i<nc; __i++) {\
863     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
864     else dnz[row - __rstart]++;\
865   }\
866 }
867 
868 /*MC
869    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
870        inserted using a local number of the rows and columns
871 
872    Synopsis:
873    PetscErrorCode MatPreallocateSymmetricSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
874 
875    Not Collective
876 
877    Input Parameters:
878 +  nrows - the number of rows indicated
879 .  rows - the indices of the rows
880 .  ncols - the number of columns in the matrix
881 .  cols - the columns indicated
882 .  dnz - the array that will be passed to the matrix preallocation routines
883 -  ozn - the other array passed to the matrix preallocation routines
884 
885 
886    Level: intermediate
887 
888    Notes:
889    See the chapter in the users manual on performance for more details
890 
891    Do not malloc or free dnz and onz that is handled internally by these routines
892 
893    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
894 
895   Concepts: preallocation^Matrix
896 
897 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
898           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
899 M*/
900 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
901 { PetscInt __i; \
902   for (__i=0; __i<nc; __i++) {\
903     if (cols[__i] >= __end) onz[row - __rstart]++; \
904     else if (cols[__i] >= row) dnz[row - __rstart]++;\
905   }\
906 }
907 
908 /*MC
909    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
910 
911    Synopsis:
912    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
913 
914    Not Collective
915 
916    Input Parameters:
917 .  A - matrix
918 .  row - row where values exist (must be local to this process)
919 .  ncols - number of columns
920 .  cols - columns with nonzeros
921 .  dnz - the array that will be passed to the matrix preallocation routines
922 -  ozn - the other array passed to the matrix preallocation routines
923 
924 
925    Level: intermediate
926 
927    Notes:
928    See the chapter in the users manual on performance for more details
929 
930    Do not malloc or free dnz and onz that is handled internally by these routines
931 
932    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
933 
934   Concepts: preallocation^Matrix
935 
936 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
937           MatPreallocateSymmetricInitialize(), MatPreallocateSymmetricSetLocal()
938 M*/
939 #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);}
940 
941 
942 /*MC
943    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
944        row in a matrix providing the data that one can use to correctly preallocate the matrix.
945 
946    Synopsis:
947    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
948 
949    Collective on MPI_Comm
950 
951    Input Parameters:
952 +  dnz - the array that was 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 chapter in the users manual on performance 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 closes the { started in MatPreallocateInitialize().
964 
965   Concepts: preallocation^Matrix
966 
967 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
968           MatPreallocateSymmetricInitialize(), MatPreallocateSymmetricSetLocal()
969 M*/
970 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
971 
972 
973 
974 /* Routines unique to particular data structures */
975 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatShellGetContext(Mat,void **);
976 PetscPolymorphicFunction(MatShellGetContext,(Mat A),(A,&t),void*,t)
977 
978 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatInodeAdjustForInodes(Mat,IS*,IS*);
979 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
980 
981 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
982 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
983 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
984 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
985 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
986 
987 #define MAT_SKIP_ALLOCATION -4
988 
989 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
990 PetscPolymorphicSubroutine(MatSeqBAIJSetPreallocation,(Mat A,PetscInt bs,const PetscInt nnz[]),(A,bs,0,nnz))
991 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
992 PetscPolymorphicSubroutine(MatSeqSBAIJSetPreallocation,(Mat A,PetscInt bs,const PetscInt nnz[]),(A,bs,0,nnz))
993 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
994 PetscPolymorphicSubroutine(MatSeqAIJSetPreallocation,(Mat A,const PetscInt nnz[]),(A,0,nnz))
995 
996 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
997 PetscPolymorphicSubroutine(MatMPIBAIJSetPreallocation,(Mat A,PetscInt bs,const PetscInt nnz[],const PetscInt onz[]),(A,bs,0,nnz,0,onz))
998 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
999 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1000 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1001 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1002 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1003 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1004 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1005 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1006 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1007 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,PetscInt*[]);
1008 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,PetscInt*[]);
1009 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatAdicSetLocalFunction(Mat,void (*)(void));
1010 
1011 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSeqDenseSetLDA(Mat,PetscInt);
1012 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatDenseGetLocalMatrix(Mat,Mat*);
1013 
1014 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatStoreValues(Mat);
1015 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatRetrieveValues(Mat);
1016 
1017 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatDAADSetCtx(Mat,void*);
1018 
1019 /*
1020   These routines are not usually accessed directly, rather solving is
1021   done through the KSP and PC interfaces.
1022 */
1023 
1024 /*E
1025     MatOrderingType - String with the name of a PETSc matrix ordering or the creation function
1026        with an optional dynamic library name, for example
1027        http://www.mcs.anl.gov/petsc/lib.a:orderingcreate()
1028 
1029    Level: beginner
1030 
1031    Cannot use const because the PC objects manipulate the string
1032 
1033 .seealso: MatGetOrdering()
1034 E*/
1035 #define MatOrderingType char*
1036 #define MATORDERING_NATURAL     "natural"
1037 #define MATORDERING_ND          "nd"
1038 #define MATORDERING_1WD         "1wd"
1039 #define MATORDERING_RCM         "rcm"
1040 #define MATORDERING_QMD         "qmd"
1041 #define MATORDERING_ROWLENGTH   "rowlength"
1042 #define MATORDERING_DSC_ND      "dsc_nd"         /* these three are only for DSCPACK, see its documentation for details */
1043 #define MATORDERING_DSC_MMD     "dsc_mmd"
1044 #define MATORDERING_DSC_MDF     "dsc_mdf"
1045 #define MATORDERING_CONSTRAINED "constrained"
1046 #define MATORDERING_IDENTITY    "identity"
1047 #define MATORDERING_REVERSE     "reverse"
1048 #define MATORDERING_FLOW        "flow"
1049 #define MATORDERING_AMD         "amd"
1050 
1051 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetOrdering(Mat,const MatOrderingType,IS*,IS*);
1052 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetOrderingList(PetscFList *list);
1053 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatOrderingRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,const MatOrderingType,IS*,IS*));
1054 
1055 /*MC
1056    MatOrderingRegisterDynamic - Adds a new sparse matrix ordering to the
1057                                matrix package.
1058 
1059    Synopsis:
1060    PetscErrorCode MatOrderingRegisterDynamic(char *name_ordering,char *path,char *name_create,PetscErrorCode (*routine_create)(MatOrdering))
1061 
1062    Not Collective
1063 
1064    Input Parameters:
1065 +  sname - name of ordering (for example MATORDERING_ND)
1066 .  path - location of library where creation routine is
1067 .  name - name of function that creates the ordering type,a string
1068 -  function - function pointer that creates the ordering
1069 
1070    Level: developer
1071 
1072    If dynamic libraries are used, then the fourth input argument (function)
1073    is ignored.
1074 
1075    Sample usage:
1076 .vb
1077    MatOrderingRegisterDynamic("my_order",/home/username/my_lib/lib/libO/solaris/mylib.a,
1078                "MyOrder",MyOrder);
1079 .ve
1080 
1081    Then, your partitioner can be chosen with the procedural interface via
1082 $     MatOrderingSetType(part,"my_order)
1083    or at runtime via the option
1084 $     -pc_factor_mat_ordering_type my_order
1085 
1086    ${PETSC_ARCH} occuring in pathname will be replaced with appropriate values.
1087 
1088 .keywords: matrix, ordering, register
1089 
1090 .seealso: MatOrderingRegisterDestroy(), MatOrderingRegisterAll()
1091 M*/
1092 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1093 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,0)
1094 #else
1095 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,d)
1096 #endif
1097 
1098 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatOrderingRegisterDestroy(void);
1099 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatOrderingRegisterAll(const char[]);
1100 extern PetscTruth MatOrderingRegisterAllCalled;
1101 extern PetscFList MatOrderingList;
1102 
1103 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1104 
1105 /*S
1106     MatFactorShiftType - Numeric Shift.
1107 
1108    Level: beginner
1109 
1110 S*/
1111 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1112 extern const char *MatFactorShiftTypes[];
1113 
1114 /*S
1115    MatFactorInfo - Data passed into the matrix factorization routines
1116 
1117    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1118 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1119 
1120    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1121 
1122       You can use MatFactorInfoInitialize() to set default values.
1123 
1124    Level: developer
1125 
1126 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1127           MatFactorInfoInitialize()
1128 
1129 S*/
1130 typedef struct {
1131   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1132   PetscReal     usedt;
1133   PetscReal     dt;             /* drop tolerance */
1134   PetscReal     dtcol;          /* tolerance for pivoting */
1135   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1136   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1137   PetscReal     levels;         /* ICC/ILU(levels) */
1138   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1139                                    factorization may be faster if do not pivot */
1140   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1141   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1142   PetscReal     shiftamount;     /* how large the shift is */
1143 } MatFactorInfo;
1144 
1145 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFactorInfoInitialize(MatFactorInfo*);
1146 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1147 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1148 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1149 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1150 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1151 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1152 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1153 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1154 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatICCFactor(Mat,IS,const MatFactorInfo*);
1155 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1156 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1157 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSolve(Mat,Vec,Vec);
1158 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatForwardSolve(Mat,Vec,Vec);
1159 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatBackwardSolve(Mat,Vec,Vec);
1160 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSolveAdd(Mat,Vec,Vec,Vec);
1161 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSolveTranspose(Mat,Vec,Vec);
1162 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1163 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSolves(Mat,Vecs,Vecs);
1164 
1165 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetUnfactored(Mat);
1166 
1167 /*E
1168     MatSORType - What type of (S)SOR to perform
1169 
1170     Level: beginner
1171 
1172    May be bitwise ORd together
1173 
1174    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1175 
1176    MatSORType may be bitwise ORd together, so do not change the numbers
1177 
1178 .seealso: MatSOR()
1179 E*/
1180 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1181               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1182               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1183               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1184 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1185 
1186 /*
1187     These routines are for efficiently computing Jacobians via finite differences.
1188 */
1189 
1190 /*E
1191     MatColoringType - String with the name of a PETSc matrix coloring or the creation function
1192        with an optional dynamic library name, for example
1193        http://www.mcs.anl.gov/petsc/lib.a:coloringcreate()
1194 
1195    Level: beginner
1196 
1197 .seealso: MatGetColoring()
1198 E*/
1199 #define MatColoringType char*
1200 #define MATCOLORING_NATURAL "natural"
1201 #define MATCOLORING_SL      "sl"
1202 #define MATCOLORING_LF      "lf"
1203 #define MATCOLORING_ID      "id"
1204 
1205 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetColoring(Mat,const MatColoringType,ISColoring*);
1206 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatColoringRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,MatColoringType,ISColoring *));
1207 
1208 /*MC
1209    MatColoringRegisterDynamic - Adds a new sparse matrix coloring to the
1210                                matrix package.
1211 
1212    Synopsis:
1213    PetscErrorCode MatColoringRegisterDynamic(char *name_coloring,char *path,char *name_create,PetscErrorCode (*routine_create)(MatColoring))
1214 
1215    Not Collective
1216 
1217    Input Parameters:
1218 +  sname - name of Coloring (for example MATCOLORING_SL)
1219 .  path - location of library where creation routine is
1220 .  name - name of function that creates the Coloring type, a string
1221 -  function - function pointer that creates the coloring
1222 
1223    Level: developer
1224 
1225    If dynamic libraries are used, then the fourth input argument (function)
1226    is ignored.
1227 
1228    Sample usage:
1229 .vb
1230    MatColoringRegisterDynamic("my_color",/home/username/my_lib/lib/libO/solaris/mylib.a,
1231                "MyColor",MyColor);
1232 .ve
1233 
1234    Then, your partitioner can be chosen with the procedural interface via
1235 $     MatColoringSetType(part,"my_color")
1236    or at runtime via the option
1237 $     -mat_coloring_type my_color
1238 
1239    $PETSC_ARCH occuring in pathname will be replaced with appropriate values.
1240 
1241 .keywords: matrix, Coloring, register
1242 
1243 .seealso: MatColoringRegisterDestroy(), MatColoringRegisterAll()
1244 M*/
1245 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1246 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,0)
1247 #else
1248 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,d)
1249 #endif
1250 
1251 extern PetscTruth MatColoringRegisterAllCalled;
1252 
1253 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatColoringRegisterAll(const char[]);
1254 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatColoringRegisterDestroy(void);
1255 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1256 
1257 /*S
1258      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1259         and coloring
1260 
1261    Level: beginner
1262 
1263   Concepts: coloring, sparse Jacobian, finite differences
1264 
1265 .seealso:  MatFDColoringCreate()
1266 S*/
1267 typedef struct _p_MatFDColoring* MatFDColoring;
1268 
1269 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1270 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFDColoringDestroy(MatFDColoring);
1271 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFDColoringView(MatFDColoring,PetscViewer);
1272 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1273 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1274 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1275 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFDColoringSetFromOptions(MatFDColoring);
1276 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
1277 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFDColoringApplyTS(Mat,MatFDColoring,PetscReal,Vec,MatStructure*,void *);
1278 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFDColoringSetF(MatFDColoring,Vec);
1279 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1280 /*
1281     These routines are for partitioning matrices: currently used only
1282   for adjacency matrix, MatCreateMPIAdj().
1283 */
1284 
1285 /*S
1286      MatPartitioning - Object for managing the partitioning of a matrix or graph
1287 
1288    Level: beginner
1289 
1290   Concepts: partitioning
1291 
1292 .seealso:  MatPartitioningCreate(), MatPartitioningType
1293 S*/
1294 typedef struct _p_MatPartitioning* MatPartitioning;
1295 
1296 /*E
1297     MatPartitioningType - String with the name of a PETSc matrix partitioning or the creation function
1298        with an optional dynamic library name, for example
1299        http://www.mcs.anl.gov/petsc/lib.a:partitioningcreate()
1300 
1301    Level: beginner
1302 
1303 .seealso: MatPartitioningCreate(), MatPartitioning
1304 E*/
1305 #define MatPartitioningType char*
1306 #define MAT_PARTITIONING_CURRENT  "current"
1307 #define MAT_PARTITIONING_SQUARE   "square"
1308 #define MAT_PARTITIONING_PARMETIS "parmetis"
1309 #define MAT_PARTITIONING_CHACO    "chaco"
1310 #define MAT_PARTITIONING_JOSTLE   "jostle"
1311 #define MAT_PARTITIONING_PARTY    "party"
1312 #define MAT_PARTITIONING_SCOTCH   "scotch"
1313 
1314 
1315 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1316 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningSetType(MatPartitioning,const MatPartitioningType);
1317 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningSetNParts(MatPartitioning,PetscInt);
1318 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningSetAdjacency(MatPartitioning,Mat);
1319 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1320 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1321 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningApply(MatPartitioning,IS*);
1322 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningDestroy(MatPartitioning);
1323 
1324 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningRegister(const char[],const char[],const char[],PetscErrorCode (*)(MatPartitioning));
1325 
1326 /*MC
1327    MatPartitioningRegisterDynamic - Adds a new sparse matrix partitioning to the
1328    matrix package.
1329 
1330    Synopsis:
1331    PetscErrorCode MatPartitioningRegisterDynamic(char *name_partitioning,char *path,char *name_create,PetscErrorCode (*routine_create)(MatPartitioning))
1332 
1333    Not Collective
1334 
1335    Input Parameters:
1336 +  sname - name of partitioning (for example MAT_PARTITIONING_CURRENT) or parmetis
1337 .  path - location of library where creation routine is
1338 .  name - name of function that creates the partitioning type, a string
1339 -  function - function pointer that creates the partitioning type
1340 
1341    Level: developer
1342 
1343    If dynamic libraries are used, then the fourth input argument (function)
1344    is ignored.
1345 
1346    Sample usage:
1347 .vb
1348    MatPartitioningRegisterDynamic("my_part",/home/username/my_lib/lib/libO/solaris/mylib.a,
1349                "MyPartCreate",MyPartCreate);
1350 .ve
1351 
1352    Then, your partitioner can be chosen with the procedural interface via
1353 $     MatPartitioningSetType(part,"my_part")
1354    or at runtime via the option
1355 $     -mat_partitioning_type my_part
1356 
1357    $PETSC_ARCH occuring in pathname will be replaced with appropriate values.
1358 
1359 .keywords: matrix, partitioning, register
1360 
1361 .seealso: MatPartitioningRegisterDestroy(), MatPartitioningRegisterAll()
1362 M*/
1363 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1364 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,0)
1365 #else
1366 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,d)
1367 #endif
1368 
1369 extern PetscTruth MatPartitioningRegisterAllCalled;
1370 
1371 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningRegisterAll(const char[]);
1372 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningRegisterDestroy(void);
1373 
1374 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningView(MatPartitioning,PetscViewer);
1375 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningSetFromOptions(MatPartitioning);
1376 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningGetType(MatPartitioning,const MatPartitioningType*);
1377 
1378 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1379 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1380 
1381 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningJostleSetCoarseLevel(MatPartitioning,PetscReal);
1382 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningJostleSetCoarseSequential(MatPartitioning);
1383 
1384 typedef enum {MP_CHACO_MULTILEVEL_KL,MP_CHACO_SPECTRAL,MP_CHACO_LINEAR,MP_CHACO_RANDOM, MP_CHACO_SCATTERED} MPChacoGlobalType;
1385 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1386 typedef enum { MP_CHACO_KERNIGHAN_LIN, MP_CHACO_NONE } MPChacoLocalType;
1387 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1388 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1389 typedef enum { MP_CHACO_LANCZOS, MP_CHACO_RQI_SYMMLQ } MPChacoEigenType;
1390 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1391 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1392 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1393 
1394 #define MP_PARTY_OPT "opt"
1395 #define MP_PARTY_LIN "lin"
1396 #define MP_PARTY_SCA "sca"
1397 #define MP_PARTY_RAN "ran"
1398 #define MP_PARTY_GBF "gbf"
1399 #define MP_PARTY_GCF "gcf"
1400 #define MP_PARTY_BUB "bub"
1401 #define MP_PARTY_DEF "def"
1402 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningPartySetGlobal(MatPartitioning, const char*);
1403 #define MP_PARTY_HELPFUL_SETS "hs"
1404 #define MP_PARTY_KERNIGHAN_LIN "kl"
1405 #define MP_PARTY_NONE "no"
1406 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningPartySetLocal(MatPartitioning, const char*);
1407 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1408 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningPartySetBipart(MatPartitioning,PetscTruth);
1409 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscTruth);
1410 
1411 typedef enum { MP_SCOTCH_GREEDY, MP_SCOTCH_GPS, MP_SCOTCH_GR_GPS } MPScotchGlobalType;
1412 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningScotchSetArch(MatPartitioning,const char*);
1413 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningScotchSetMultilevel(MatPartitioning);
1414 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningScotchSetGlobal(MatPartitioning,MPScotchGlobalType);
1415 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningScotchSetCoarseLevel(MatPartitioning,PetscReal);
1416 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningScotchSetHostList(MatPartitioning,const char*);
1417 typedef enum { MP_SCOTCH_KERNIGHAN_LIN, MP_SCOTCH_NONE } MPScotchLocalType;
1418 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningScotchSetLocal(MatPartitioning,MPScotchLocalType);
1419 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningScotchSetMapping(MatPartitioning);
1420 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningScotchSetStrategy(MatPartitioning,char*);
1421 
1422 EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1423 EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1424 
1425 /*
1426     If you add entries here you must also add them to finclude/petscmat.h
1427 */
1428 typedef enum { MATOP_SET_VALUES=0,
1429                MATOP_GET_ROW=1,
1430                MATOP_RESTORE_ROW=2,
1431                MATOP_MULT=3,
1432                MATOP_MULT_ADD=4,
1433                MATOP_MULT_TRANSPOSE=5,
1434                MATOP_MULT_TRANSPOSE_ADD=6,
1435                MATOP_SOLVE=7,
1436                MATOP_SOLVE_ADD=8,
1437                MATOP_SOLVE_TRANSPOSE=9,
1438                MATOP_SOLVE_TRANSPOSE_ADD=10,
1439                MATOP_LUFACTOR=11,
1440                MATOP_CHOLESKYFACTOR=12,
1441                MATOP_SOR=13,
1442                MATOP_TRANSPOSE=14,
1443                MATOP_GETINFO=15,
1444                MATOP_EQUAL=16,
1445                MATOP_GET_DIAGONAL=17,
1446                MATOP_DIAGONAL_SCALE=18,
1447                MATOP_NORM=19,
1448                MATOP_ASSEMBLY_BEGIN=20,
1449                MATOP_ASSEMBLY_END=21,
1450                MATOP_SET_OPTION=22,
1451                MATOP_ZERO_ENTRIES=23,
1452                MATOP_ZERO_ROWS=24,
1453                MATOP_LUFACTOR_SYMBOLIC=25,
1454                MATOP_LUFACTOR_NUMERIC=26,
1455                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1456                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1457                MATOP_SETUP_PREALLOCATION=29,
1458                MATOP_ILUFACTOR_SYMBOLIC=30,
1459                MATOP_ICCFACTOR_SYMBOLIC=31,
1460                MATOP_GET_ARRAY=32,
1461                MATOP_RESTORE_ARRAY=33,
1462                MATOP_DUPLICATE=34,
1463                MATOP_FORWARD_SOLVE=35,
1464                MATOP_BACKWARD_SOLVE=36,
1465                MATOP_ILUFACTOR=37,
1466                MATOP_ICCFACTOR=38,
1467                MATOP_AXPY=39,
1468                MATOP_GET_SUBMATRICES=40,
1469                MATOP_INCREASE_OVERLAP=41,
1470                MATOP_GET_VALUES=42,
1471                MATOP_COPY=43,
1472                MATOP_GET_ROW_MAX=44,
1473                MATOP_SCALE=45,
1474                MATOP_SHIFT=46,
1475                MATOP_DIAGONAL_SET=47,
1476                MATOP_ILUDT_FACTOR=48,
1477                MATOP_SET_BLOCK_SIZE=49,
1478                MATOP_GET_ROW_IJ=50,
1479                MATOP_RESTORE_ROW_IJ=51,
1480                MATOP_GET_COLUMN_IJ=52,
1481                MATOP_RESTORE_COLUMN_IJ=53,
1482                MATOP_FDCOLORING_CREATE=54,
1483                MATOP_COLORING_PATCH=55,
1484                MATOP_SET_UNFACTORED=56,
1485                MATOP_PERMUTE=57,
1486                MATOP_SET_VALUES_BLOCKED=58,
1487                MATOP_GET_SUBMATRIX=59,
1488                MATOP_DESTROY=60,
1489                MATOP_VIEW=61,
1490                MATOP_CONVERT_FROM=62,
1491                MATOP_USE_SCALED_FORM=63,
1492                MATOP_SCALE_SYSTEM=64,
1493                MATOP_UNSCALE_SYSTEM=65,
1494                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1495                MATOP_SET_VALUES_LOCAL=67,
1496                MATOP_ZERO_ROWS_LOCAL=68,
1497                MATOP_GET_ROW_MAX_ABS=69,
1498                MATOP_GET_ROW_MIN_ABS=70,
1499                MATOP_CONVERT=71,
1500                MATOP_SET_COLORING=72,
1501                MATOP_SET_VALUES_ADIC=73,
1502                MATOP_SET_VALUES_ADIFOR=74,
1503                MATOP_FD_COLORING_APPLY=75,
1504                MATOP_SET_FROM_OPTIONS=76,
1505                MATOP_MULT_CON=77,
1506                MATOP_MULT_TRANSPOSE_CON=78,
1507                MATOP_PERMUTE_SPARSIFY=79,
1508                MATOP_MULT_MULTIPLE=80,
1509                MATOP_SOLVE_MULTIPLE=81,
1510                MATOP_GET_INERTIA=82,
1511                MATOP_LOAD=83,
1512                MATOP_IS_SYMMETRIC=84,
1513                MATOP_IS_HERMITIAN=85,
1514                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1515                MATOP_DUMMY=87,
1516                MATOP_GET_VECS=88,
1517                MATOP_MAT_MULT=89,
1518                MATOP_MAT_MULT_SYMBOLIC=90,
1519                MATOP_MAT_MULT_NUMERIC=91,
1520                MATOP_PTAP=92,
1521                MATOP_PTAP_SYMBOLIC=93,
1522                MATOP_PTAP_NUMERIC=94,
1523                MATOP_MAT_MULTTRANSPOSE=95,
1524                MATOP_MAT_MULTTRANSPOSE_SYM=96,
1525                MATOP_MAT_MULTTRANSPOSE_NUM=97,
1526                MATOP_PTAP_SYMBOLIC_SEQAIJ=98,
1527                MATOP_PTAP_NUMERIC_SEQAIJ=99,
1528                MATOP_PTAP_SYMBOLIC_MPIAIJ=100,
1529                MATOP_PTAP_NUMERIC_MPIAIJ=101,
1530                MATOP_CONJUGATE=102,
1531                MATOP_SET_SIZES=103,
1532                MATOP_SET_VALUES_ROW=104,
1533                MATOP_REAL_PART=105,
1534                MATOP_IMAG_PART=106,
1535                MATOP_GET_ROW_UTRIANGULAR=107,
1536                MATOP_RESTORE_ROW_UTRIANGULAR=108,
1537                MATOP_MATSOLVE=109,
1538                MATOP_GET_REDUNDANTMATRIX=110,
1539                MATOP_GET_ROW_MIN=111,
1540                MATOP_GET_COLUMN_VEC=112,
1541                MATOP_MISSING_DIAGONAL=113,
1542                MATOP_MATGETSEQNONZEROSTRUCTURE=114,
1543                MATOP_CREATE=115,
1544                MATOP_GET_GHOSTS=116,
1545                MATOP_MULT_DIAGONAL_BLOCK=119,
1546                MATOP_HERMITIANTRANSPOSE=120,
1547                MATOP_MULTHERMITIANTRANSPOSE=121,
1548                MATOP_MULTHERMITIANTRANSPOSEADD=122
1549              } MatOperation;
1550 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatHasOperation(Mat,MatOperation,PetscTruth*);
1551 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatShellSetOperation(Mat,MatOperation,void(*)(void));
1552 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatShellGetOperation(Mat,MatOperation,void(**)(void));
1553 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatShellSetContext(Mat,void*);
1554 
1555 /*
1556    Codes for matrices stored on disk. By default they are
1557  stored in a universal format. By changing the format with
1558  PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1559  be stored in a way natural for the matrix, for example dense matrices
1560  would be stored as dense. Matrices stored this way may only be
1561  read into matrices of the same time.
1562 */
1563 #define MATRIX_BINARY_FORMAT_DENSE -1
1564 
1565 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1566 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatISGetLocalMat(Mat,Mat*);
1567 
1568 /*S
1569      MatNullSpace - Object that removes a null space from a vector, i.e.
1570          orthogonalizes the vector to a subsapce
1571 
1572    Level: advanced
1573 
1574   Concepts: matrix; linear operator, null space
1575 
1576   Users manual sections:
1577 .   sec_singular
1578 
1579 .seealso:  MatNullSpaceCreate()
1580 S*/
1581 typedef struct _p_MatNullSpace* MatNullSpace;
1582 
1583 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatNullSpaceCreate(MPI_Comm,PetscTruth,PetscInt,const Vec[],MatNullSpace*);
1584 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1585 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatNullSpaceDestroy(MatNullSpace);
1586 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatNullSpaceRemove(MatNullSpace,Vec,Vec*);
1587 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatNullSpaceAttach(Mat,MatNullSpace);
1588 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatNullSpaceTest(MatNullSpace,Mat,PetscTruth *);
1589 
1590 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatReorderingSeqSBAIJ(Mat,IS);
1591 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1592 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1593 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSeqBAIJInvertBlockDiagonal(Mat);
1594 
1595 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateMAIJ(Mat,PetscInt,Mat*);
1596 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMAIJRedimension(Mat,PetscInt,Mat*);
1597 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMAIJGetAIJ(Mat,Mat*);
1598 
1599 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatComputeExplicitOperator(Mat,Mat*);
1600 
1601 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatDiagonalScaleLocal(Mat,Vec);
1602 
1603 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1604 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDSetBase(Mat,Vec,Vec);
1605 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1606 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1607 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1608 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDAddNullSpace(Mat,MatNullSpace);
1609 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1610 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDResetHHistory(Mat);
1611 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDSetFunctionError(Mat,PetscReal);
1612 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDSetPeriod(Mat,PetscInt);
1613 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDGetH(Mat,PetscScalar *);
1614 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDSetOptionsPrefix(Mat,const char[]);
1615 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDSetFromOptions(Mat);
1616 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1617 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1618 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDDSSetUmin(Mat,PetscReal);
1619 
1620 
1621 typedef struct _p_MatMFFD* MatMFFD;
1622 
1623 /*E
1624     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1625 
1626    Level: beginner
1627 
1628 .seealso: MatMFFDSetType(), MatMFFDRegister()
1629 E*/
1630 #define MatMFFDType char*
1631 #define MATMFFD_DS  "ds"
1632 #define MATMFFD_WP  "wp"
1633 
1634 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDSetType(Mat,const MatMFFDType);
1635 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDRegister(const char[],const char[],const char[],PetscErrorCode (*)(MatMFFD));
1636 
1637 /*MC
1638    MatMFFDRegisterDynamic - Adds a method to the MatMFFD registry.
1639 
1640    Synopsis:
1641    PetscErrorCode MatMFFDRegisterDynamic(char *name_solver,char *path,char *name_create,PetscErrorCode (*routine_create)(MatMFFD))
1642 
1643    Not Collective
1644 
1645    Input Parameters:
1646 +  name_solver - name of a new user-defined compute-h module
1647 .  path - path (either absolute or relative) the library containing this solver
1648 .  name_create - name of routine to create method context
1649 -  routine_create - routine to create method context
1650 
1651    Level: developer
1652 
1653    Notes:
1654    MatMFFDRegisterDynamic() may be called multiple times to add several user-defined solvers.
1655 
1656    If dynamic libraries are used, then the fourth input argument (routine_create)
1657    is ignored.
1658 
1659    Sample usage:
1660 .vb
1661    MatMFFDRegisterDynamic("my_h",/home/username/my_lib/lib/libO/solaris/mylib.a,
1662                "MyHCreate",MyHCreate);
1663 .ve
1664 
1665    Then, your solver can be chosen with the procedural interface via
1666 $     MatMFFDSetType(mfctx,"my_h")
1667    or at runtime via the option
1668 $     -snes_mf_type my_h
1669 
1670 .keywords: MatMFFD, register
1671 
1672 .seealso: MatMFFDRegisterAll(), MatMFFDRegisterDestroy()
1673 M*/
1674 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1675 #define MatMFFDRegisterDynamic(a,b,c,d) MatMFFDRegister(a,b,c,0)
1676 #else
1677 #define MatMFFDRegisterDynamic(a,b,c,d) MatMFFDRegister(a,b,c,d)
1678 #endif
1679 
1680 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDRegisterAll(const char[]);
1681 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDRegisterDestroy(void);
1682 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDDefaultSetUmin(Mat,PetscReal);
1683 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDWPSetComputeNormU(Mat,PetscTruth);
1684 
1685 
1686 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1687 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1688 
1689 /*
1690    PETSc interface to MUMPS
1691 */
1692 #ifdef PETSC_HAVE_MUMPS
1693 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1694 #endif
1695 
1696 PETSC_EXTERN_CXX_END
1697 #endif
1698