xref: /petsc/include/petscmat.h (revision b2beed0a7da2e81a5835c5ce9b6617977e4c7040)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #ifndef __PETSCMAT_H
5 #define __PETSCMAT_H
6 #include "petscvec.h"
7 PETSC_EXTERN_CXX_BEGIN
8 
9 /*S
10      Mat - Abstract PETSc matrix object
11 
12    Level: beginner
13 
14   Concepts: matrix; linear operator
15 
16 .seealso:  MatCreate(), MatType, MatSetType()
17 S*/
18 typedef struct _p_Mat*           Mat;
19 
20 /*E
21     MatType - String with the name of a PETSc matrix or the creation function
22        with an optional dynamic library name, for example
23        http://www.mcs.anl.gov/petsc/lib.a:mymatcreate()
24 
25    Level: beginner
26 
27 .seealso: MatSetType(), Mat, MatSolverPackage
28 E*/
29 #define MatType char*
30 #define MATSAME            "same"
31 #define MATMAIJ            "maij"
32 #define MATSEQMAIJ           "seqmaij"
33 #define MATMPIMAIJ           "mpimaij"
34 #define MATIS              "is"
35 #define MATAIJ             "aij"
36 #define MATSEQAIJ            "seqaij"
37 #define MATMPIAIJ            "mpiaij"
38 #define MATAIJCRL              "aijcrl"
39 #define MATSEQAIJCRL             "seqaijcrl"
40 #define MATMPIAIJCRL             "mpiaijcrl"
41 #define MATAIJCUDA             "aijcuda"
42 #define MATSEQAIJCUDA            "seqaijcuda"
43 #define MATMPIAIJCUDA            "mpiaijcuda"
44 #define MATAIJPERM             "aijperm"
45 #define MATSEQAIJPERM            "seqaijperm"
46 #define MATMPIAIJPERM            "mpiaijperm"
47 #define MATSHELL           "shell"
48 #define MATDENSE           "dense"
49 #define MATSEQDENSE          "seqdense"
50 #define MATMPIDENSE          "mpidense"
51 #define MATBAIJ            "baij"
52 #define MATSEQBAIJ           "seqbaij"
53 #define MATMPIBAIJ           "mpibaij"
54 #define MATMPIADJ          "mpiadj"
55 #define MATSBAIJ           "sbaij"
56 #define MATSEQSBAIJ          "seqsbaij"
57 #define MATMPISBAIJ          "mpisbaij"
58 #define MATDAAD            "daad"
59 #define MATMFFD            "mffd"
60 #define MATNORMAL          "normal"
61 #define MATLRC             "lrc"
62 #define MATSCATTER         "scatter"
63 #define MATBLOCKMAT        "blockmat"
64 #define MATCOMPOSITE       "composite"
65 #define MATSEQFFTW         "seqfftw"
66 #define MATSEQCUFFT        "seqcufft"
67 #define MATTRANSPOSEMAT    "transpose"
68 #define MATSCHURCOMPLEMENT "schurcomplement"
69 #define MATPYTHON          "python"
70 #define MATHYPRESTRUCT     "hyprestruct"
71 #define MATHYPRESSTRUCT    "hypresstruct"
72 #define MATSUBMATRIX       "submatrix"
73 #define MATDD              "matdd"
74 #define MATIM              "matim"
75 
76 
77 /*E
78     MatSolverPackage - String with the name of a PETSc matrix solver type.
79 
80     For example: "petsc" indicates what PETSc provides, "superlu" indicates either
81        SuperLU or SuperLU_Dist etc.
82 
83 
84    Level: beginner
85 
86 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
87 E*/
88 #define MatSolverPackage char*
89 #define MATSOLVERSPOOLES      "spooles"
90 #define MATSOLVERSUPERLU      "superlu"
91 #define MATSOLVERSUPERLU_DIST "superlu_dist"
92 #define MATSOLVERUMFPACK      "umfpack"
93 #define MATSOLVERCHOLMOD      "cholmod"
94 #define MATSOLVERESSL         "essl"
95 #define MATSOLVERLUSOL        "lusol"
96 #define MATSOLVERMUMPS        "mumps"
97 #define MATSOLVERPASTIX       "pastix"
98 #define MATSOLVERDSCPACK      "dscpack"
99 #define MATSOLVERMATLAB       "matlab"
100 #define MATSOLVERPETSC        "petsc"
101 #define MATSOLVERPLAPACK      "plapack"
102 #define MATSOLVERBAS          "bas"
103 
104 /*E
105     MatFactorType - indicates what type of factorization is requested
106 
107     Level: beginner
108 
109    Any additions/changes here MUST also be made in include/finclude/petscmat.h
110 
111 .seealso: MatSolverPackage, MatGetFactor()
112 E*/
113 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
114 extern const char *const MatFactorTypes[];
115 
116 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
117 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
118 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
119 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactorType(Mat,MatFactorType*);
120 
121 /* Logging support */
122 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
123 extern PetscClassId PETSCMAT_DLLEXPORT MAT_CLASSID;
124 extern PetscClassId PETSCMAT_DLLEXPORT MAT_FDCOLORING_CLASSID;
125 extern PetscClassId PETSCMAT_DLLEXPORT MAT_PARTITIONING_CLASSID;
126 extern PetscClassId PETSCMAT_DLLEXPORT MAT_NULLSPACE_CLASSID;
127 extern PetscClassId PETSCMAT_DLLEXPORT MATMFFD_CLASSID;
128 
129 /*E
130     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
131      or MatGetSubMatrix() are to be reused to store the new matrix values.
132 
133     Level: beginner
134 
135    Any additions/changes here MUST also be made in include/finclude/petscmat.h
136 
137 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
138 E*/
139 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX} MatReuse;
140 
141 /*E
142     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
143      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
144 
145     Level: beginner
146 
147 .seealso: MatGetSeqNonzerostructure()
148 E*/
149 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
150 
151 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatInitializePackage(const char[]);
152 
153 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreate(MPI_Comm,Mat*);
154 PetscPolymorphicFunction(MatCreate,(MPI_Comm comm),(comm,&A),Mat,A)
155 PetscPolymorphicFunction(MatCreate,(),(PETSC_COMM_WORLD,&A),Mat,A)
156 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
157 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetType(Mat,const MatType);
158 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetFromOptions(Mat);
159 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetUpPreallocation(Mat);
160 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatRegisterAll(const char[]);
161 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat));
162 
163 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetOptionsPrefix(Mat,const char[]);
164 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatAppendOptionsPrefix(Mat,const char[]);
165 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetOptionsPrefix(Mat,const char*[]);
166 
167 /*MC
168    MatRegisterDynamic - Adds a new matrix type
169 
170    Synopsis:
171    PetscErrorCode MatRegisterDynamic(const char *name,const char *path,const char *name_create,PetscErrorCode (*routine_create)(Mat))
172 
173    Not Collective
174 
175    Input Parameters:
176 +  name - name of a new user-defined matrix type
177 .  path - path (either absolute or relative) the library containing this solver
178 .  name_create - name of routine to create method context
179 -  routine_create - routine to create method context
180 
181    Notes:
182    MatRegisterDynamic() may be called multiple times to add several user-defined solvers.
183 
184    If dynamic libraries are used, then the fourth input argument (routine_create)
185    is ignored.
186 
187    Sample usage:
188 .vb
189    MatRegisterDynamic("my_mat",/home/username/my_lib/lib/libO/solaris/mylib.a,
190                "MyMatCreate",MyMatCreate);
191 .ve
192 
193    Then, your solver can be chosen with the procedural interface via
194 $     MatSetType(Mat,"my_mat")
195    or at runtime via the option
196 $     -mat_type my_mat
197 
198    Level: advanced
199 
200    Notes: ${PETSC_ARCH} occuring in pathname will be replaced with appropriate values.
201          If your function is not being put into a shared library then use VecRegister() instead
202 
203 .keywords: Mat, register
204 
205 .seealso: MatRegisterAll(), MatRegisterDestroy()
206 
207 M*/
208 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
209 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,0)
210 #else
211 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,d)
212 #endif
213 
214 extern PetscBool  MatRegisterAllCalled;
215 extern PetscFList MatList;
216 extern PetscFList MatColoringList;
217 extern PetscFList MatPartitioningList;
218 
219 /*E
220     MatStructure - Indicates if the matrix has the same nonzero structure
221 
222     Level: beginner
223 
224    Any additions/changes here MUST also be made in include/finclude/petscmat.h
225 
226 .seealso: MatCopy(), KSPSetOperators(), PCSetOperators()
227 E*/
228 typedef enum {SAME_NONZERO_PATTERN,DIFFERENT_NONZERO_PATTERN,SAME_PRECONDITIONER,SUBSET_NONZERO_PATTERN} MatStructure;
229 
230 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
231 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateMPIDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
232 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
233 PetscPolymorphicFunction(MatCreateSeqAIJ,(PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[]),(PETSC_COMM_SELF,m,n,nz,nnz,&A),Mat,A)
234 PetscPolymorphicFunction(MatCreateSeqAIJ,(PetscInt m,PetscInt n,PetscInt nz),(PETSC_COMM_SELF,m,n,nz,PETSC_NULL,&A),Mat,A)
235 PetscPolymorphicFunction(MatCreateSeqAIJ,(PetscInt m,PetscInt n,const PetscInt nnz[]),(PETSC_COMM_SELF,m,n,0,nnz,&A),Mat,A)
236 PetscPolymorphicFunction(MatCreateSeqAIJ,(PetscInt m,PetscInt n),(PETSC_COMM_SELF,m,n,0,PETSC_NULL,&A),Mat,A)
237 PetscPolymorphicSubroutine(MatCreateSeqAIJ,(PetscInt m,PetscInt n,PetscInt nz,Mat *A),(PETSC_COMM_SELF,m,n,nz,PETSC_NULL,A))
238 PetscPolymorphicSubroutine(MatCreateSeqAIJ,(PetscInt m,PetscInt n,const PetscInt nnz[],Mat *A),(PETSC_COMM_SELF,m,n,0,nnz,A))
239 PetscPolymorphicSubroutine(MatCreateSeqAIJ,(PetscInt m,PetscInt n,Mat *A),(PETSC_COMM_SELF,m,n,0,PETSC_NULL,A))
240 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateMPIAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
241 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)
242 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)
243 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)
244 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)
245 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))
246 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))
247 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))
248 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)
249 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)
250 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)
251 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)
252 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))
253 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))
254 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))
255 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
256 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
257 
258 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
259 PetscPolymorphicFunction(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[]),(PETSC_COMM_SELF,bs,m,n,nz,nnz,&A),Mat,A)
260 PetscPolymorphicFunction(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz),(PETSC_COMM_SELF,bs,m,n,nz,PETSC_NULL,&A),Mat,A)
261 PetscPolymorphicFunction(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,const PetscInt nnz[]),(PETSC_COMM_SELF,bs,m,n,0,nnz,&A),Mat,A)
262 PetscPolymorphicFunction(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n),(PETSC_COMM_SELF,bs,m,n,0,PETSC_NULL,&A),Mat,A)
263 PetscPolymorphicSubroutine(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,Mat *A),(PETSC_COMM_SELF,bs,m,n,nz,PETSC_NULL,A))
264 PetscPolymorphicSubroutine(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,const PetscInt nnz[],Mat *A),(PETSC_COMM_SELF,bs,m,n,0,nnz,A))
265 PetscPolymorphicSubroutine(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,Mat *A),(PETSC_COMM_SELF,bs,m,n,0,PETSC_NULL,A))
266 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateMPIBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
267 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)
268 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)
269 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)
270 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)
271 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))
272 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))
273 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))
274 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)
275 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)
276 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)
277 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)
278 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))
279 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))
280 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))
281 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
282 
283 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
284 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
285 PetscPolymorphicFunction(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[]),(PETSC_COMM_SELF,bs,m,n,nz,nnz,&A),Mat,A)
286 PetscPolymorphicFunction(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz),(PETSC_COMM_SELF,bs,m,n,nz,PETSC_NULL,&A),Mat,A)
287 PetscPolymorphicFunction(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,const PetscInt nnz[]),(PETSC_COMM_SELF,bs,m,n,0,nnz,&A),Mat,A)
288 PetscPolymorphicFunction(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n),(PETSC_COMM_SELF,bs,m,n,0,PETSC_NULL,&A),Mat,A)
289 PetscPolymorphicSubroutine(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,Mat *A),(PETSC_COMM_SELF,bs,m,n,nz,PETSC_NULL,A))
290 PetscPolymorphicSubroutine(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,const PetscInt nnz[],Mat *A),(PETSC_COMM_SELF,bs,m,n,0,nnz,A))
291 PetscPolymorphicSubroutine(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,Mat *A),(PETSC_COMM_SELF,bs,m,n,0,PETSC_NULL,A))
292 
293 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateMPISBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
294 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)
295 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)
296 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)
297 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)
298 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))
299 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))
300 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))
301 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)
302 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)
303 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)
304 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)
305 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))
306 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))
307 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))
308 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
309 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
310 
311 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
312 PetscPolymorphicFunction(MatCreateShell,(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N,void *ctx),(comm,m,n,M,N,ctx,&A),Mat,A)
313 PetscPolymorphicFunction(MatCreateShell,(PetscInt m,PetscInt n,PetscInt M,PetscInt N,void *ctx),(PETSC_COMM_WORLD,m,n,M,N,ctx,&A),Mat,A)
314 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateAdic(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,void (*)(void),Mat*);
315 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateNormal(Mat,Mat*);
316 PetscPolymorphicFunction(MatCreateNormal,(Mat mat),(mat,&A),Mat,A)
317 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateLRC(Mat,Mat,Mat,Mat*);
318 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,Mat*);
319 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
320 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
321 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateScatter(MPI_Comm,VecScatter,Mat*);
322 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatScatterSetVecScatter(Mat,VecScatter);
323 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatScatterGetVecScatter(Mat,VecScatter*);
324 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
325 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCompositeAddMat(Mat,Mat);
326 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCompositeMerge(Mat);
327 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
328 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
329 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCompositeSetType(Mat,MatCompositeType);
330 
331 #if defined PETSC_HAVE_MATDD
332 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatDDCreate(Mat A);
333 typedef enum {MATDD_DOMAINS_COLUMN, MATDD_DOMAINS_ROW} MatDDDomainType;
334 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatDDSetDomainsLocal(Mat A, MatDDDomainType type, PetscInt domain_count, const PetscInt *supported_domains, const PetscInt *domain_limits, PetscBool covering);
335 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatDDSetDomainsLocalIS(Mat A, MatDDDomainType type, IS supported_domains, IS domain_limits, PetscBool covering);
336 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatDDSetScatter(Mat A, Mat S);
337 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatDDSetGather(Mat A,  Mat G);
338 /**/
339 typedef enum {MATDD_BLOCK_COMM_DEFAULT = 0, MATDD_BLOCK_COMM_SELF = -1, MATDD_BLOCK_COMM_DETERMINE = -2} MatDDBlockCommType;
340 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatDDGetDefaltBlockType(Mat A, const MatType *type);
341 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatDDSetDefaltBlockType(Mat A, const MatType type);
342 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatDDAddBlockLocal(Mat A, PetscInt rowblock, PetscInt colblock, const MatType blockmattype,  MatDDBlockCommType blockcommtype, Mat *block);
343 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatDDSetBlockLocal(Mat A, PetscInt rowblock, PetscInt colblock, Mat block);
344 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatDDGetBlockLocal(Mat A, PetscInt rowblock, PetscInt colblock, Mat *block);
345 /**/
346 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatDDAIJSetPreallocation(Mat A,PetscInt nz,PetscInt *nnz);
347 #endif
348 
349 #if defined PETSC_HAVE_MATIM
350 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatIMSetIS(Mat A, IS in, IS out);
351 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatIMGetIS(Mat A, IS *in, IS *out);
352 #endif
353 
354 
355 
356 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateSeqFFTW(MPI_Comm,PetscInt,const PetscInt[],Mat*);
357 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
358 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateTranspose(Mat,Mat*);
359 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateSubMatrix(Mat,IS,IS,Mat*);
360 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSubMatrixUpdate(Mat,Mat,IS,IS);
361 
362 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreatePython(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const char[],Mat*);
363 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPythonSetType(Mat,const char[]);
364 
365 
366 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetUp(Mat);
367 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatDestroy(Mat);
368 
369 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatConjugate(Mat);
370 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatRealPart(Mat);
371 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatImaginaryPart(Mat);
372 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetDiagonalBlock(Mat,PetscBool *,MatReuse,Mat*);
373 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetTrace(Mat,PetscScalar*);
374 
375 /* ------------------------------------------------------------*/
376 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
377 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
378 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
379 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
380 
381 /*S
382      MatStencil - Data structure (C struct) for storing information about a single row or
383         column of a matrix as index on an associated grid.
384 
385    Level: beginner
386 
387   Concepts: matrix; linear operator
388 
389 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockStencil()
390 S*/
391 typedef struct {
392   PetscInt k,j,i,c;
393 } MatStencil;
394 
395 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
396 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
397 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
398 
399 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetColoring(Mat,ISColoring);
400 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesAdic(Mat,void*);
401 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesAdifor(Mat,PetscInt,void*);
402 
403 /*E
404     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
405      to continue to add values to it
406 
407     Level: beginner
408 
409 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
410 E*/
411 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
412 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatAssemblyBegin(Mat,MatAssemblyType);
413 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatAssemblyEnd(Mat,MatAssemblyType);
414 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatAssembled(Mat,PetscBool *);
415 
416 
417 
418 /*E
419     MatOption - Options that may be set for a matrix and its behavior or storage
420 
421     Level: beginner
422 
423    Any additions/changes here MUST also be made in include/finclude/petscmat.h
424 
425 .seealso: MatSetOption()
426 E*/
427 typedef enum {MAT_ROW_ORIENTED,MAT_NEW_NONZERO_LOCATIONS,
428               MAT_SYMMETRIC,
429               MAT_STRUCTURALLY_SYMMETRIC,
430               MAT_NEW_DIAGONALS,MAT_IGNORE_OFF_PROC_ENTRIES,
431               MAT_NEW_NONZERO_LOCATION_ERR,
432               MAT_NEW_NONZERO_ALLOCATION_ERR,MAT_USE_HASH_TABLE,
433               MAT_KEEP_NONZERO_PATTERN,MAT_IGNORE_ZERO_ENTRIES,
434               MAT_USE_INODES,
435               MAT_HERMITIAN,
436               MAT_SYMMETRY_ETERNAL,
437               MAT_USE_COMPRESSEDROW,
438               MAT_IGNORE_LOWER_TRIANGULAR,MAT_ERROR_LOWER_TRIANGULAR,
439               MAT_GETROW_UPPERTRIANGULAR,MAT_UNUSED_NONZERO_LOCATION_ERR,
440               MAT_SPD,MAT_NO_OFF_PROC_ENTRIES,MAT_NO_OFF_PROC_ZERO_ROWS,
441               NUM_MAT_OPTIONS} MatOption;
442 extern const char *MatOptions[];
443 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetOption(Mat,MatOption,PetscBool );
444 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetType(Mat,const MatType*);
445 PetscPolymorphicFunction(MatGetType,(Mat mat),(mat,&t),const MatType,t)
446 
447 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
448 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
449 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
450 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowUpperTriangular(Mat);
451 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatRestoreRowUpperTriangular(Mat);
452 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
453 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
454 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetColumnVector(Mat,Vec,PetscInt);
455 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetArray(Mat,PetscScalar *[]);
456 PetscPolymorphicFunction(MatGetArray,(Mat mat),(mat,&a),PetscScalar*,a)
457 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatRestoreArray(Mat,PetscScalar *[]);
458 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetBlockSize(Mat,PetscInt *);
459 PetscPolymorphicFunction(MatGetBlockSize,(Mat mat),(mat,&a),PetscInt,a)
460 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetBlockSize(Mat,PetscInt);
461 
462 
463 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMult(Mat,Vec,Vec);
464 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMultDiagonalBlock(Mat,Vec,Vec);
465 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMultAdd(Mat,Vec,Vec,Vec);
466 PetscPolymorphicSubroutine(MatMultAdd,(Mat A,Vec x,Vec y),(A,x,y,y))
467 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMultTranspose(Mat,Vec,Vec);
468 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMultHermitianTranspose(Mat,Vec,Vec);
469 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
470 PetscPolymorphicFunction(MatIsTranspose,(Mat A,Mat B,PetscReal tol),(A,B,tol,&t),PetscBool ,t)
471 PetscPolymorphicFunction(MatIsTranspose,(Mat A,Mat B),(A,B,0,&t),PetscBool ,t)
472 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
473 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMultTransposeAdd(Mat,Vec,Vec,Vec);
474 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
475 PetscPolymorphicSubroutine(MatMultTransposeAdd,(Mat A,Vec x,Vec y),(A,x,y,y))
476 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMultConstrained(Mat,Vec,Vec);
477 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMultTransposeConstrained(Mat,Vec,Vec);
478 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMatSolve(Mat,Mat,Mat);
479 
480 /*E
481     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
482   its numerical values copied over or just its nonzero structure.
483 
484     Level: beginner
485 
486    Any additions/changes here MUST also be made in include/finclude/petscmat.h
487 
488 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
489 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
490 $                               have several matrices with the same nonzero pattern.
491 
492 .seealso: MatDuplicate()
493 E*/
494 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
495 
496 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatConvert(Mat,const MatType,MatReuse,Mat*);
497 PetscPolymorphicFunction(MatConvert,(Mat A,const MatType t),(A,t,MAT_INITIAL_MATRIX,&a),Mat,a)
498 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatDuplicate(Mat,MatDuplicateOption,Mat*);
499 PetscPolymorphicFunction(MatDuplicate,(Mat A,MatDuplicateOption o),(A,o,&a),Mat,a)
500 PetscPolymorphicFunction(MatDuplicate,(Mat A),(A,MAT_COPY_VALUES,&a),Mat,a)
501 
502 
503 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCopy(Mat,Mat,MatStructure);
504 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatView(Mat,PetscViewer);
505 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatIsSymmetric(Mat,PetscReal,PetscBool *);
506 PetscPolymorphicFunction(MatIsSymmetric,(Mat A,PetscReal tol),(A,tol,&t),PetscBool ,t)
507 PetscPolymorphicFunction(MatIsSymmetric,(Mat A),(A,0,&t),PetscBool ,t)
508 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatIsStructurallySymmetric(Mat,PetscBool *);
509 PetscPolymorphicFunction(MatIsStructurallySymmetric,(Mat A),(A,&t),PetscBool ,t)
510 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatIsHermitian(Mat,PetscReal,PetscBool *);
511 PetscPolymorphicFunction(MatIsHermitian,(Mat A),(A,0,&t),PetscBool ,t)
512 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
513 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
514 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
515 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatLoad(Mat, PetscViewer);
516 
517 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,PetscInt *[],PetscInt *[],PetscBool  *);
518 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,PetscInt *[],PetscInt *[],PetscBool  *);
519 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,PetscInt *[],PetscInt *[],PetscBool  *);
520 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,PetscInt *[],PetscInt *[],PetscBool  *);
521 
522 /*S
523      MatInfo - Context of matrix information, used with MatGetInfo()
524 
525    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
526 
527    Level: intermediate
528 
529   Concepts: matrix^nonzero information
530 
531 .seealso:  MatGetInfo(), MatInfoType
532 S*/
533 typedef struct {
534   PetscLogDouble block_size;                         /* block size */
535   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
536   PetscLogDouble memory;                             /* memory allocated */
537   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
538   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
539   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
540   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
541 } MatInfo;
542 
543 /*E
544     MatInfoType - Indicates if you want information about the local part of the matrix,
545      the entire parallel matrix or the maximum over all the local parts.
546 
547     Level: beginner
548 
549    Any additions/changes here MUST also be made in include/finclude/petscmat.h
550 
551 .seealso: MatGetInfo(), MatInfo
552 E*/
553 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
554 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetInfo(Mat,MatInfoType,MatInfo*);
555 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetDiagonal(Mat,Vec);
556 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowMax(Mat,Vec,PetscInt[]);
557 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowMin(Mat,Vec,PetscInt[]);
558 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
559 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowMinAbs(Mat,Vec,PetscInt[]);
560 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetRowSum(Mat,Vec);
561 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatTranspose(Mat,MatReuse,Mat*);
562 PetscPolymorphicFunction(MatTranspose,(Mat A),(A,MAT_INITIAL_MATRIX,&t),Mat,t)
563 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatHermitianTranspose(Mat,MatReuse,Mat*);
564 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPermute(Mat,IS,IS,Mat *);
565 PetscPolymorphicFunction(MatPermute,(Mat A,IS is1,IS is2),(A,is1,is2,&t),Mat,t)
566 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPermuteSparsify(Mat,PetscInt,PetscReal,PetscReal,IS,IS,Mat *);
567 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatDiagonalScale(Mat,Vec,Vec);
568 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatDiagonalSet(Mat,Vec,InsertMode);
569 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatEqual(Mat,Mat,PetscBool *);
570 PetscPolymorphicFunction(MatEqual,(Mat A,Mat B),(A,B,&t),PetscBool ,t)
571 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMultEqual(Mat,Mat,PetscInt,PetscBool *);
572 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMultAddEqual(Mat,Mat,PetscInt,PetscBool *);
573 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool *);
574 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool *);
575 
576 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatNorm(Mat,NormType,PetscReal *);
577 PetscPolymorphicFunction(MatNorm,(Mat A,NormType t),(A,t,&n),PetscReal,n)
578 EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal *);
579 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatZeroEntries(Mat);
580 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
581 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
582 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
583 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
584 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
585 
586 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatUseScaledForm(Mat,PetscBool );
587 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatScaleSystem(Mat,Vec,Vec);
588 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatUnScaleSystem(Mat,Vec,Vec);
589 
590 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetSize(Mat,PetscInt*,PetscInt*);
591 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetLocalSize(Mat,PetscInt*,PetscInt*);
592 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
593 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetOwnershipRanges(Mat,const PetscInt**);
594 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
595 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetOwnershipRangesColumn(Mat,const PetscInt**);
596 
597 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
598 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatDestroyMatrices(PetscInt,Mat *[]);
599 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
600 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetSeqNonzeroStructure(Mat,Mat*);
601 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatDestroySeqNonzeroStructure(Mat*);
602 
603 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMerge(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
604 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMerge_SeqsToMPI(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
605 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMerge_SeqsToMPISymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
606 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMerge_SeqsToMPINumeric(Mat,Mat);
607 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatDestroy_MPIAIJ_SeqsToMPI(Mat);
608 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetLocalMat(Mat,MatReuse,Mat*);
609 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
610 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,PetscInt*,Mat*);
611 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetBrowsOfAoCols(Mat,Mat,MatReuse,PetscInt**,PetscInt**,MatScalar**,Mat*);
612 #if defined (PETSC_USE_CTABLE)
613 #include "petscctable.h"
614 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetCommunicationStructs(Mat, Vec *, PetscTable *, VecScatter *);
615 #else
616 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetCommunicationStructs(Mat, Vec *, PetscInt *[], VecScatter *);
617 #endif
618 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
619 
620 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
621 
622 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
623 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
624 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMatMultNumeric(Mat,Mat,Mat);
625 
626 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
627 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
628 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPtAPNumeric(Mat,Mat,Mat);
629 
630 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMatMultTranspose(Mat,Mat,MatReuse,PetscReal,Mat*);
631 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMatMultTransposeSymbolic(Mat,Mat,PetscReal,Mat*);
632 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMatMultTransposeNumeric(Mat,Mat,Mat);
633 
634 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatAXPY(Mat,PetscScalar,Mat,MatStructure);
635 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatAYPX(Mat,PetscScalar,Mat,MatStructure);
636 
637 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatScale(Mat,PetscScalar);
638 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatShift(Mat,PetscScalar);
639 
640 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
641 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
642 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
643 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
644 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
645 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
646 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
647 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
648 
649 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatStashSetInitialSize(Mat,PetscInt,PetscInt);
650 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
651 
652 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatInterpolate(Mat,Vec,Vec);
653 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatInterpolateAdd(Mat,Vec,Vec,Vec);
654 PetscPolymorphicSubroutine(MatInterpolateAdd,(Mat A,Vec x,Vec y),(A,x,y,y))
655 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatRestrict(Mat,Vec,Vec);
656 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetVecs(Mat,Vec*,Vec*);
657 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetRedundantMatrix(Mat,PetscInt,MPI_Comm,PetscInt,MatReuse,Mat*);
658 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetMultiProcBlock(Mat,MPI_Comm,Mat*);
659 
660 /*MC
661    MatSetValue - Set a single entry into a matrix.
662 
663    Not collective
664 
665    Input Parameters:
666 +  m - the matrix
667 .  row - the row location of the entry
668 .  col - the column location of the entry
669 .  value - the value to insert
670 -  mode - either INSERT_VALUES or ADD_VALUES
671 
672    Notes:
673    For efficiency one should use MatSetValues() and set several or many
674    values simultaneously if possible.
675 
676    Level: beginner
677 
678 .seealso: MatSetValues(), MatSetValueLocal()
679 M*/
680 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
681 
682 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
683 
684 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
685 
686 /*MC
687    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
688        row in a matrix providing the data that one can use to correctly preallocate the matrix.
689 
690    Synopsis:
691    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
692 
693    Collective on MPI_Comm
694 
695    Input Parameters:
696 +  comm - the communicator that will share the eventually allocated matrix
697 .  nrows - the number of LOCAL rows in the matrix
698 -  ncols - the number of LOCAL columns in the matrix
699 
700    Output Parameters:
701 +  dnz - the array that will be passed to the matrix preallocation routines
702 -  ozn - the other array passed to the matrix preallocation routines
703 
704 
705    Level: intermediate
706 
707    Notes:
708     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
709 
710    Do not malloc or free dnz and onz, that is handled internally by these routines
711 
712    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
713 
714    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
715 
716   Concepts: preallocation^Matrix
717 
718 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
719           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
720 M*/
721 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
722 { \
723   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
724   _4_ierr = PetscMalloc2(__nrows,PetscInt,&dnz,__nrows,PetscInt,&onz);CHKERRQ(_4_ierr); \
725   _4_ierr = PetscMemzero(dnz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
726   _4_ierr = PetscMemzero(onz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
727   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
728   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
729 
730 /*MC
731    MatPreallocateSymmetricInitialize - Begins the block of code that will count the number of nonzeros per
732        row in a matrix providing the data that one can use to correctly preallocate the matrix.
733 
734    Synopsis:
735    PetscErrorCode MatPreallocateSymmetricInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
736 
737    Collective on MPI_Comm
738 
739    Input Parameters:
740 +  comm - the communicator that will share the eventually allocated matrix
741 .  nrows - the number of LOCAL rows in the matrix
742 -  ncols - the number of LOCAL columns in the matrix
743 
744    Output Parameters:
745 +  dnz - the array that will be passed to the matrix preallocation routines
746 -  ozn - the other array passed to the matrix preallocation routines
747 
748 
749    Level: intermediate
750 
751    Notes:
752     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
753 
754    Do not malloc or free dnz and onz, that is handled internally by these routines
755 
756    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
757 
758   Concepts: preallocation^Matrix
759 
760 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
761           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
762 M*/
763 #define MatPreallocateSymmetricInitialize(comm,nrows,ncols,dnz,onz) 0; \
764 { \
765   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__end; \
766   _4_ierr = PetscMalloc2(__nrows,PetscInt,&dnz,__nrows,PetscInt,&onz);CHKERRQ(_4_ierr); \
767   _4_ierr = PetscMemzero(dnz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
768   _4_ierr = PetscMemzero(onz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
769   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr);\
770   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
771 
772 /*MC
773    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
774        inserted using a local number of the rows and columns
775 
776    Synopsis:
777    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
778 
779    Not Collective
780 
781    Input Parameters:
782 +  map - the row mapping from local numbering to global numbering
783 .  nrows - the number of rows indicated
784 .  rows - the indices of the rows
785 .  cmap - the column mapping from local to global numbering
786 .  ncols - the number of columns in the matrix
787 .  cols - the columns indicated
788 .  dnz - the array that will be passed to the matrix preallocation routines
789 -  ozn - the other array passed to the matrix preallocation routines
790 
791 
792    Level: intermediate
793 
794    Notes:
795     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
796 
797    Do not malloc or free dnz and onz, that is handled internally by these routines
798 
799   Concepts: preallocation^Matrix
800 
801 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
802           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
803 M*/
804 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
805 {\
806   PetscInt __l;\
807   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
808   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
809   for (__l=0;__l<nrows;__l++) {\
810     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
811   }\
812 }
813 
814 /*MC
815    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
816        inserted using a local number of the rows and columns
817 
818    Synopsis:
819    PetscErrorCode MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
820 
821    Not Collective
822 
823    Input Parameters:
824 +  map - the mapping between local numbering and global numbering
825 .  nrows - the number of rows indicated
826 .  rows - the indices of the rows
827 .  ncols - the number of columns in the matrix
828 .  cols - the columns indicated
829 .  dnz - the array that will be passed to the matrix preallocation routines
830 -  ozn - the other array passed to the matrix preallocation routines
831 
832 
833    Level: intermediate
834 
835    Notes:
836     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
837 
838    Do not malloc or free dnz and onz that is handled internally by these routines
839 
840   Concepts: preallocation^Matrix
841 
842 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
843           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
844 M*/
845 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
846 {\
847   PetscInt __l;\
848   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
849   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
850   for (__l=0;__l<nrows;__l++) {\
851     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
852   }\
853 }
854 
855 /*MC
856    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
857        inserted using a local number of the rows and columns
858 
859    Synopsis:
860    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
861 
862    Not Collective
863 
864    Input Parameters:
865 +  row - the row
866 .  ncols - the number of columns in the matrix
867 -  cols - the columns indicated
868 
869    Output Parameters:
870 +  dnz - the array that will be passed to the matrix preallocation routines
871 -  ozn - the other array passed to the matrix preallocation routines
872 
873 
874    Level: intermediate
875 
876    Notes:
877     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
878 
879    Do not malloc or free dnz and onz that is handled internally by these routines
880 
881    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
882 
883   Concepts: preallocation^Matrix
884 
885 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
886           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
887 M*/
888 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
889 { PetscInt __i; \
890   if (row < __rstart) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Trying to set preallocation for row %D less than first local row %D",row,__rstart);\
891   if (row >= __rstart+__nrows) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Trying to set preallocation for row %D greater than last local row %D",row,__rstart+__nrows-1);\
892   for (__i=0; __i<nc; __i++) {\
893     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
894     else dnz[row - __rstart]++;\
895   }\
896 }
897 
898 /*MC
899    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
900        inserted using a local number of the rows and columns
901 
902    Synopsis:
903    PetscErrorCode MatPreallocateSymmetricSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
904 
905    Not Collective
906 
907    Input Parameters:
908 +  nrows - the number of rows indicated
909 .  rows - the indices of the rows
910 .  ncols - the number of columns in the matrix
911 .  cols - the columns indicated
912 .  dnz - the array that will be passed to the matrix preallocation routines
913 -  ozn - the other array passed to the matrix preallocation routines
914 
915 
916    Level: intermediate
917 
918    Notes:
919     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
920 
921    Do not malloc or free dnz and onz that is handled internally by these routines
922 
923    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
924 
925   Concepts: preallocation^Matrix
926 
927 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
928           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
929 M*/
930 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
931 { PetscInt __i; \
932   for (__i=0; __i<nc; __i++) {\
933     if (cols[__i] >= __end) onz[row - __rstart]++; \
934     else if (cols[__i] >= row) dnz[row - __rstart]++;\
935   }\
936 }
937 
938 /*MC
939    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
940 
941    Synopsis:
942    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
943 
944    Not Collective
945 
946    Input Parameters:
947 .  A - matrix
948 .  row - row where values exist (must be local to this process)
949 .  ncols - number of columns
950 .  cols - columns with nonzeros
951 .  dnz - the array that will be passed to the matrix preallocation routines
952 -  ozn - the other array passed to the matrix preallocation routines
953 
954 
955    Level: intermediate
956 
957    Notes:
958     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
959 
960    Do not malloc or free dnz and onz that is handled internally by these routines
961 
962    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
963 
964   Concepts: preallocation^Matrix
965 
966 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
967           MatPreallocateSymmetricInitialize(), MatPreallocateSymmetricSetLocal()
968 M*/
969 #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);}
970 
971 
972 /*MC
973    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
974        row in a matrix providing the data that one can use to correctly preallocate the matrix.
975 
976    Synopsis:
977    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
978 
979    Collective on MPI_Comm
980 
981    Input Parameters:
982 +  dnz - the array that was be passed to the matrix preallocation routines
983 -  ozn - the other array passed to the matrix preallocation routines
984 
985 
986    Level: intermediate
987 
988    Notes:
989     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
990 
991    Do not malloc or free dnz and onz that is handled internally by these routines
992 
993    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
994 
995   Concepts: preallocation^Matrix
996 
997 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
998           MatPreallocateSymmetricInitialize(), MatPreallocateSymmetricSetLocal()
999 M*/
1000 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
1001 
1002 
1003 
1004 /* Routines unique to particular data structures */
1005 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatShellGetContext(Mat,void **);
1006 PetscPolymorphicFunction(MatShellGetContext,(Mat A),(A,&t),void*,t)
1007 
1008 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatInodeAdjustForInodes(Mat,IS*,IS*);
1009 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1010 
1011 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1012 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1013 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1014 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1015 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1016 
1017 #define MAT_SKIP_ALLOCATION -4
1018 
1019 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1020 PetscPolymorphicSubroutine(MatSeqBAIJSetPreallocation,(Mat A,PetscInt bs,const PetscInt nnz[]),(A,bs,0,nnz))
1021 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1022 PetscPolymorphicSubroutine(MatSeqSBAIJSetPreallocation,(Mat A,PetscInt bs,const PetscInt nnz[]),(A,bs,0,nnz))
1023 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1024 PetscPolymorphicSubroutine(MatSeqAIJSetPreallocation,(Mat A,const PetscInt nnz[]),(A,0,nnz))
1025 
1026 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1027 PetscPolymorphicSubroutine(MatMPIBAIJSetPreallocation,(Mat A,PetscInt bs,const PetscInt nnz[],const PetscInt onz[]),(A,bs,0,nnz,0,onz))
1028 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1029 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1030 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1031 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1032 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1033 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1034 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1035 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1036 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1037 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,PetscInt*[]);
1038 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,PetscInt*[]);
1039 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatAdicSetLocalFunction(Mat,void (*)(void));
1040 
1041 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSeqDenseSetLDA(Mat,PetscInt);
1042 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatDenseGetLocalMatrix(Mat,Mat*);
1043 
1044 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatStoreValues(Mat);
1045 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatRetrieveValues(Mat);
1046 
1047 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatDAADSetCtx(Mat,void*);
1048 
1049 /*
1050   These routines are not usually accessed directly, rather solving is
1051   done through the KSP and PC interfaces.
1052 */
1053 
1054 /*E
1055     MatOrderingType - String with the name of a PETSc matrix ordering or the creation function
1056        with an optional dynamic library name, for example
1057        http://www.mcs.anl.gov/petsc/lib.a:orderingcreate()
1058 
1059    Level: beginner
1060 
1061    Cannot use const because the PC objects manipulate the string
1062 
1063 .seealso: MatGetOrdering()
1064 E*/
1065 #define MatOrderingType char*
1066 #define MATORDERINGNATURAL     "natural"
1067 #define MATORDERINGND          "nd"
1068 #define MATORDERING1WD         "1wd"
1069 #define MATORDERINGRCM         "rcm"
1070 #define MATORDERINGQMD         "qmd"
1071 #define MATORDERINGROWLENGTH   "rowlength"
1072 #define MATORDERINGDSC_ND      "dsc_nd"         /* these three are only for DSCPACK, see its documentation for details */
1073 #define MATORDERINGDSC_MMD     "dsc_mmd"
1074 #define MATORDERINGDSC_MDF     "dsc_mdf"
1075 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1076 
1077 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetOrdering(Mat,const MatOrderingType,IS*,IS*);
1078 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetOrderingList(PetscFList *list);
1079 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatOrderingRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,const MatOrderingType,IS*,IS*));
1080 
1081 /*MC
1082    MatOrderingRegisterDynamic - Adds a new sparse matrix ordering to the matrix package.
1083 
1084    Synopsis:
1085    PetscErrorCode MatOrderingRegisterDynamic(const char *name_ordering,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatOrdering))
1086 
1087    Not Collective
1088 
1089    Input Parameters:
1090 +  sname - name of ordering (for example MATORDERINGND)
1091 .  path - location of library where creation routine is
1092 .  name - name of function that creates the ordering type,a string
1093 -  function - function pointer that creates the ordering
1094 
1095    Level: developer
1096 
1097    If dynamic libraries are used, then the fourth input argument (function)
1098    is ignored.
1099 
1100    Sample usage:
1101 .vb
1102    MatOrderingRegisterDynamic("my_order",/home/username/my_lib/lib/libO/solaris/mylib.a,
1103                "MyOrder",MyOrder);
1104 .ve
1105 
1106    Then, your partitioner can be chosen with the procedural interface via
1107 $     MatOrderingSetType(part,"my_order)
1108    or at runtime via the option
1109 $     -pc_factor_mat_ordering_type my_order
1110 
1111    ${PETSC_ARCH} occuring in pathname will be replaced with appropriate values.
1112 
1113 .keywords: matrix, ordering, register
1114 
1115 .seealso: MatOrderingRegisterDestroy(), MatOrderingRegisterAll()
1116 M*/
1117 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1118 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,0)
1119 #else
1120 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,d)
1121 #endif
1122 
1123 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatOrderingRegisterDestroy(void);
1124 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatOrderingRegisterAll(const char[]);
1125 extern PetscBool  MatOrderingRegisterAllCalled;
1126 extern PetscFList MatOrderingList;
1127 
1128 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1129 
1130 /*S
1131     MatFactorShiftType - Numeric Shift.
1132 
1133    Level: beginner
1134 
1135 S*/
1136 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1137 extern const char *MatFactorShiftTypes[];
1138 
1139 /*S
1140    MatFactorInfo - Data passed into the matrix factorization routines
1141 
1142    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1143 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1144 
1145    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1146 
1147       You can use MatFactorInfoInitialize() to set default values.
1148 
1149    Level: developer
1150 
1151 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1152           MatFactorInfoInitialize()
1153 
1154 S*/
1155 typedef struct {
1156   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1157   PetscReal     usedt;
1158   PetscReal     dt;             /* drop tolerance */
1159   PetscReal     dtcol;          /* tolerance for pivoting */
1160   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1161   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1162   PetscReal     levels;         /* ICC/ILU(levels) */
1163   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1164                                    factorization may be faster if do not pivot */
1165   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1166   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1167   PetscReal     shiftamount;     /* how large the shift is */
1168 } MatFactorInfo;
1169 
1170 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFactorInfoInitialize(MatFactorInfo*);
1171 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1172 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1173 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1174 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1175 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1176 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1177 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1178 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1179 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatICCFactor(Mat,IS,const MatFactorInfo*);
1180 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1181 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1182 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSolve(Mat,Vec,Vec);
1183 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatForwardSolve(Mat,Vec,Vec);
1184 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatBackwardSolve(Mat,Vec,Vec);
1185 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSolveAdd(Mat,Vec,Vec,Vec);
1186 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSolveTranspose(Mat,Vec,Vec);
1187 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1188 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSolves(Mat,Vecs,Vecs);
1189 
1190 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetUnfactored(Mat);
1191 
1192 /*E
1193     MatSORType - What type of (S)SOR to perform
1194 
1195     Level: beginner
1196 
1197    May be bitwise ORd together
1198 
1199    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1200 
1201    MatSORType may be bitwise ORd together, so do not change the numbers
1202 
1203 .seealso: MatSOR()
1204 E*/
1205 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1206               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1207               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1208               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1209 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1210 
1211 /*
1212     These routines are for efficiently computing Jacobians via finite differences.
1213 */
1214 
1215 /*E
1216     MatColoringType - String with the name of a PETSc matrix coloring or the creation function
1217        with an optional dynamic library name, for example
1218        http://www.mcs.anl.gov/petsc/lib.a:coloringcreate()
1219 
1220    Level: beginner
1221 
1222 .seealso: MatGetColoring()
1223 E*/
1224 #define MatColoringType char*
1225 #define MATCOLORINGNATURAL "natural"
1226 #define MATCOLORINGSL      "sl"
1227 #define MATCOLORINGLF      "lf"
1228 #define MATCOLORINGID      "id"
1229 
1230 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatGetColoring(Mat,const MatColoringType,ISColoring*);
1231 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatColoringRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,MatColoringType,ISColoring *));
1232 
1233 /*MC
1234    MatColoringRegisterDynamic - Adds a new sparse matrix coloring to the
1235                                matrix package.
1236 
1237    Synopsis:
1238    PetscErrorCode MatColoringRegisterDynamic(const char *name_coloring,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatColoring))
1239 
1240    Not Collective
1241 
1242    Input Parameters:
1243 +  sname - name of Coloring (for example MATCOLORINGSL)
1244 .  path - location of library where creation routine is
1245 .  name - name of function that creates the Coloring type, a string
1246 -  function - function pointer that creates the coloring
1247 
1248    Level: developer
1249 
1250    If dynamic libraries are used, then the fourth input argument (function)
1251    is ignored.
1252 
1253    Sample usage:
1254 .vb
1255    MatColoringRegisterDynamic("my_color",/home/username/my_lib/lib/libO/solaris/mylib.a,
1256                "MyColor",MyColor);
1257 .ve
1258 
1259    Then, your partitioner can be chosen with the procedural interface via
1260 $     MatColoringSetType(part,"my_color")
1261    or at runtime via the option
1262 $     -mat_coloring_type my_color
1263 
1264    $PETSC_ARCH occuring in pathname will be replaced with appropriate values.
1265 
1266 .keywords: matrix, Coloring, register
1267 
1268 .seealso: MatColoringRegisterDestroy(), MatColoringRegisterAll()
1269 M*/
1270 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1271 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,0)
1272 #else
1273 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,d)
1274 #endif
1275 
1276 extern PetscBool  MatColoringRegisterAllCalled;
1277 
1278 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatColoringRegisterAll(const char[]);
1279 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatColoringRegisterDestroy(void);
1280 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1281 
1282 /*S
1283      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1284         and coloring
1285 
1286    Level: beginner
1287 
1288   Concepts: coloring, sparse Jacobian, finite differences
1289 
1290 .seealso:  MatFDColoringCreate()
1291 S*/
1292 typedef struct _p_MatFDColoring* MatFDColoring;
1293 
1294 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1295 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFDColoringDestroy(MatFDColoring);
1296 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFDColoringView(MatFDColoring,PetscViewer);
1297 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1298 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1299 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1300 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFDColoringSetFromOptions(MatFDColoring);
1301 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
1302 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFDColoringApplyTS(Mat,MatFDColoring,PetscReal,Vec,MatStructure*,void *);
1303 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFDColoringSetF(MatFDColoring,Vec);
1304 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1305 /*
1306     These routines are for partitioning matrices: currently used only
1307   for adjacency matrix, MatCreateMPIAdj().
1308 */
1309 
1310 /*S
1311      MatPartitioning - Object for managing the partitioning of a matrix or graph
1312 
1313    Level: beginner
1314 
1315   Concepts: partitioning
1316 
1317 .seealso:  MatPartitioningCreate(), MatPartitioningType
1318 S*/
1319 typedef struct _p_MatPartitioning* MatPartitioning;
1320 
1321 /*E
1322     MatPartitioningType - String with the name of a PETSc matrix partitioning or the creation function
1323        with an optional dynamic library name, for example
1324        http://www.mcs.anl.gov/petsc/lib.a:partitioningcreate()
1325 
1326    Level: beginner
1327 
1328 .seealso: MatPartitioningCreate(), MatPartitioning
1329 E*/
1330 #define MatPartitioningType char*
1331 #define MATPARTITIONINGCURRENT  "current"
1332 #define MATPARTITIONINGSQUARE   "square"
1333 #define MATPARTITIONINGPARMETIS "parmetis"
1334 #define MATPARTITIONINGCHACO    "chaco"
1335 #define MATPARTITIONINGJOSTLE   "jostle"
1336 #define MATPARTITIONINGPARTY    "party"
1337 #define MATPARTITIONINGSCOTCH   "scotch"
1338 
1339 
1340 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1341 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningSetType(MatPartitioning,const MatPartitioningType);
1342 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningSetNParts(MatPartitioning,PetscInt);
1343 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningSetAdjacency(MatPartitioning,Mat);
1344 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1345 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1346 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningApply(MatPartitioning,IS*);
1347 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningDestroy(MatPartitioning);
1348 
1349 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningRegister(const char[],const char[],const char[],PetscErrorCode (*)(MatPartitioning));
1350 
1351 /*MC
1352    MatPartitioningRegisterDynamic - Adds a new sparse matrix partitioning to the
1353    matrix package.
1354 
1355    Synopsis:
1356    PetscErrorCode MatPartitioningRegisterDynamic(const char *name_partitioning,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatPartitioning))
1357 
1358    Not Collective
1359 
1360    Input Parameters:
1361 +  sname - name of partitioning (for example MATPARTITIONINGCURRENT) or parmetis
1362 .  path - location of library where creation routine is
1363 .  name - name of function that creates the partitioning type, a string
1364 -  function - function pointer that creates the partitioning type
1365 
1366    Level: developer
1367 
1368    If dynamic libraries are used, then the fourth input argument (function)
1369    is ignored.
1370 
1371    Sample usage:
1372 .vb
1373    MatPartitioningRegisterDynamic("my_part",/home/username/my_lib/lib/libO/solaris/mylib.a,
1374                "MyPartCreate",MyPartCreate);
1375 .ve
1376 
1377    Then, your partitioner can be chosen with the procedural interface via
1378 $     MatPartitioningSetType(part,"my_part")
1379    or at runtime via the option
1380 $     -mat_partitioning_type my_part
1381 
1382    $PETSC_ARCH occuring in pathname will be replaced with appropriate values.
1383 
1384 .keywords: matrix, partitioning, register
1385 
1386 .seealso: MatPartitioningRegisterDestroy(), MatPartitioningRegisterAll()
1387 M*/
1388 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1389 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,0)
1390 #else
1391 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,d)
1392 #endif
1393 
1394 extern PetscBool  MatPartitioningRegisterAllCalled;
1395 
1396 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningRegisterAll(const char[]);
1397 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningRegisterDestroy(void);
1398 
1399 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningView(MatPartitioning,PetscViewer);
1400 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningSetFromOptions(MatPartitioning);
1401 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningGetType(MatPartitioning,const MatPartitioningType*);
1402 
1403 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1404 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1405 
1406 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningJostleSetCoarseLevel(MatPartitioning,PetscReal);
1407 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningJostleSetCoarseSequential(MatPartitioning);
1408 
1409 typedef enum {MP_CHACO_MULTILEVEL_KL,MP_CHACO_SPECTRAL,MP_CHACO_LINEAR,MP_CHACO_RANDOM, MP_CHACO_SCATTERED} MPChacoGlobalType;
1410 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1411 typedef enum { MP_CHACO_KERNIGHAN_LIN, MP_CHACO_NONE } MPChacoLocalType;
1412 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1413 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1414 typedef enum { MP_CHACO_LANCZOS, MP_CHACO_RQI_SYMMLQ } MPChacoEigenType;
1415 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1416 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1417 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1418 
1419 #define MP_PARTY_OPT "opt"
1420 #define MP_PARTY_LIN "lin"
1421 #define MP_PARTY_SCA "sca"
1422 #define MP_PARTY_RAN "ran"
1423 #define MP_PARTY_GBF "gbf"
1424 #define MP_PARTY_GCF "gcf"
1425 #define MP_PARTY_BUB "bub"
1426 #define MP_PARTY_DEF "def"
1427 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningPartySetGlobal(MatPartitioning, const char*);
1428 #define MP_PARTY_HELPFUL_SETS "hs"
1429 #define MP_PARTY_KERNIGHAN_LIN "kl"
1430 #define MP_PARTY_NONE "no"
1431 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningPartySetLocal(MatPartitioning, const char*);
1432 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1433 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningPartySetBipart(MatPartitioning,PetscBool );
1434 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool );
1435 
1436 typedef enum { MP_SCOTCH_GREEDY, MP_SCOTCH_GPS, MP_SCOTCH_GR_GPS } MPScotchGlobalType;
1437 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningScotchSetArch(MatPartitioning,const char*);
1438 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningScotchSetMultilevel(MatPartitioning);
1439 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningScotchSetGlobal(MatPartitioning,MPScotchGlobalType);
1440 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningScotchSetCoarseLevel(MatPartitioning,PetscReal);
1441 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningScotchSetHostList(MatPartitioning,const char*);
1442 typedef enum { MP_SCOTCH_KERNIGHAN_LIN, MP_SCOTCH_NONE } MPScotchLocalType;
1443 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningScotchSetLocal(MatPartitioning,MPScotchLocalType);
1444 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningScotchSetMapping(MatPartitioning);
1445 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatPartitioningScotchSetStrategy(MatPartitioning,char*);
1446 
1447 EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1448 EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1449 
1450 /*
1451     If you add entries here you must also add them to finclude/petscmat.h
1452 */
1453 typedef enum { MATOP_SET_VALUES=0,
1454                MATOP_GET_ROW=1,
1455                MATOP_RESTORE_ROW=2,
1456                MATOP_MULT=3,
1457                MATOP_MULT_ADD=4,
1458                MATOP_MULT_TRANSPOSE=5,
1459                MATOP_MULT_TRANSPOSE_ADD=6,
1460                MATOP_SOLVE=7,
1461                MATOP_SOLVE_ADD=8,
1462                MATOP_SOLVE_TRANSPOSE=9,
1463                MATOP_SOLVE_TRANSPOSE_ADD=10,
1464                MATOP_LUFACTOR=11,
1465                MATOP_CHOLESKYFACTOR=12,
1466                MATOP_SOR=13,
1467                MATOP_TRANSPOSE=14,
1468                MATOP_GETINFO=15,
1469                MATOP_EQUAL=16,
1470                MATOP_GET_DIAGONAL=17,
1471                MATOP_DIAGONAL_SCALE=18,
1472                MATOP_NORM=19,
1473                MATOP_ASSEMBLY_BEGIN=20,
1474                MATOP_ASSEMBLY_END=21,
1475                MATOP_SET_OPTION=22,
1476                MATOP_ZERO_ENTRIES=23,
1477                MATOP_ZERO_ROWS=24,
1478                MATOP_LUFACTOR_SYMBOLIC=25,
1479                MATOP_LUFACTOR_NUMERIC=26,
1480                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1481                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1482                MATOP_SETUP_PREALLOCATION=29,
1483                MATOP_ILUFACTOR_SYMBOLIC=30,
1484                MATOP_ICCFACTOR_SYMBOLIC=31,
1485                MATOP_GET_ARRAY=32,
1486                MATOP_RESTORE_ARRAY=33,
1487                MATOP_DUPLICATE=34,
1488                MATOP_FORWARD_SOLVE=35,
1489                MATOP_BACKWARD_SOLVE=36,
1490                MATOP_ILUFACTOR=37,
1491                MATOP_ICCFACTOR=38,
1492                MATOP_AXPY=39,
1493                MATOP_GET_SUBMATRICES=40,
1494                MATOP_INCREASE_OVERLAP=41,
1495                MATOP_GET_VALUES=42,
1496                MATOP_COPY=43,
1497                MATOP_GET_ROW_MAX=44,
1498                MATOP_SCALE=45,
1499                MATOP_SHIFT=46,
1500                MATOP_DIAGONAL_SET=47,
1501                MATOP_ILUDT_FACTOR=48,
1502                MATOP_SET_BLOCK_SIZE=49,
1503                MATOP_GET_ROW_IJ=50,
1504                MATOP_RESTORE_ROW_IJ=51,
1505                MATOP_GET_COLUMN_IJ=52,
1506                MATOP_RESTORE_COLUMN_IJ=53,
1507                MATOP_FDCOLORING_CREATE=54,
1508                MATOP_COLORING_PATCH=55,
1509                MATOP_SET_UNFACTORED=56,
1510                MATOP_PERMUTE=57,
1511                MATOP_SET_VALUES_BLOCKED=58,
1512                MATOP_GET_SUBMATRIX=59,
1513                MATOP_DESTROY=60,
1514                MATOP_VIEW=61,
1515                MATOP_CONVERT_FROM=62,
1516                MATOP_USE_SCALED_FORM=63,
1517                MATOP_SCALE_SYSTEM=64,
1518                MATOP_UNSCALE_SYSTEM=65,
1519                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1520                MATOP_SET_VALUES_LOCAL=67,
1521                MATOP_ZERO_ROWS_LOCAL=68,
1522                MATOP_GET_ROW_MAX_ABS=69,
1523                MATOP_GET_ROW_MIN_ABS=70,
1524                MATOP_CONVERT=71,
1525                MATOP_SET_COLORING=72,
1526                MATOP_SET_VALUES_ADIC=73,
1527                MATOP_SET_VALUES_ADIFOR=74,
1528                MATOP_FD_COLORING_APPLY=75,
1529                MATOP_SET_FROM_OPTIONS=76,
1530                MATOP_MULT_CON=77,
1531                MATOP_MULT_TRANSPOSE_CON=78,
1532                MATOP_PERMUTE_SPARSIFY=79,
1533                MATOP_MULT_MULTIPLE=80,
1534                MATOP_SOLVE_MULTIPLE=81,
1535                MATOP_GET_INERTIA=82,
1536                MATOP_LOAD=83,
1537                MATOP_IS_SYMMETRIC=84,
1538                MATOP_IS_HERMITIAN=85,
1539                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1540                MATOP_DUMMY=87,
1541                MATOP_GET_VECS=88,
1542                MATOP_MAT_MULT=89,
1543                MATOP_MAT_MULT_SYMBOLIC=90,
1544                MATOP_MAT_MULT_NUMERIC=91,
1545                MATOP_PTAP=92,
1546                MATOP_PTAP_SYMBOLIC=93,
1547                MATOP_PTAP_NUMERIC=94,
1548                MATOP_MAT_MULTTRANSPOSE=95,
1549                MATOP_MAT_MULTTRANSPOSE_SYM=96,
1550                MATOP_MAT_MULTTRANSPOSE_NUM=97,
1551                MATOP_PTAP_SYMBOLIC_SEQAIJ=98,
1552                MATOP_PTAP_NUMERIC_SEQAIJ=99,
1553                MATOP_PTAP_SYMBOLIC_MPIAIJ=100,
1554                MATOP_PTAP_NUMERIC_MPIAIJ=101,
1555                MATOP_CONJUGATE=102,
1556                MATOP_SET_SIZES=103,
1557                MATOP_SET_VALUES_ROW=104,
1558                MATOP_REAL_PART=105,
1559                MATOP_IMAG_PART=106,
1560                MATOP_GET_ROW_UTRIANGULAR=107,
1561                MATOP_RESTORE_ROW_UTRIANGULAR=108,
1562                MATOP_MATSOLVE=109,
1563                MATOP_GET_REDUNDANTMATRIX=110,
1564                MATOP_GET_ROW_MIN=111,
1565                MATOP_GET_COLUMN_VEC=112,
1566                MATOP_MISSING_DIAGONAL=113,
1567                MATOP_MATGETSEQNONZEROSTRUCTURE=114,
1568                MATOP_CREATE=115,
1569                MATOP_GET_GHOSTS=116,
1570                MATOP_MULT_DIAGONAL_BLOCK=119,
1571                MATOP_HERMITIANTRANSPOSE=120,
1572                MATOP_MULTHERMITIANTRANSPOSE=121,
1573                MATOP_MULTHERMITIANTRANSPOSEADD=122,
1574                MATOP_GETMULTIPROCBLOCK=123
1575              } MatOperation;
1576 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatHasOperation(Mat,MatOperation,PetscBool *);
1577 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatShellSetOperation(Mat,MatOperation,void(*)(void));
1578 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatShellGetOperation(Mat,MatOperation,void(**)(void));
1579 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatShellSetContext(Mat,void*);
1580 
1581 /*
1582    Codes for matrices stored on disk. By default they are
1583    stored in a universal format. By changing the format with
1584    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1585    be stored in a way natural for the matrix, for example dense matrices
1586    would be stored as dense. Matrices stored this way may only be
1587    read into matrices of the same type.
1588 */
1589 #define MATRIX_BINARY_FORMAT_DENSE -1
1590 
1591 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1592 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatISGetLocalMat(Mat,Mat*);
1593 
1594 /*S
1595      MatNullSpace - Object that removes a null space from a vector, i.e.
1596          orthogonalizes the vector to a subsapce
1597 
1598    Level: advanced
1599 
1600   Concepts: matrix; linear operator, null space
1601 
1602   Users manual sections:
1603 .   sec_singular
1604 
1605 .seealso:  MatNullSpaceCreate()
1606 S*/
1607 typedef struct _p_MatNullSpace* MatNullSpace;
1608 
1609 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1610 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1611 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatNullSpaceDestroy(MatNullSpace);
1612 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatNullSpaceRemove(MatNullSpace,Vec,Vec*);
1613 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatNullSpaceAttach(Mat,MatNullSpace);
1614 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1615 
1616 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatReorderingSeqSBAIJ(Mat,IS);
1617 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1618 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1619 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSeqBAIJInvertBlockDiagonal(Mat);
1620 
1621 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateMAIJ(Mat,PetscInt,Mat*);
1622 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMAIJRedimension(Mat,PetscInt,Mat*);
1623 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMAIJGetAIJ(Mat,Mat*);
1624 
1625 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatComputeExplicitOperator(Mat,Mat*);
1626 
1627 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatDiagonalScaleLocal(Mat,Vec);
1628 
1629 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1630 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDSetBase(Mat,Vec,Vec);
1631 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1632 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1633 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1634 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDAddNullSpace(Mat,MatNullSpace);
1635 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1636 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDResetHHistory(Mat);
1637 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDSetFunctionError(Mat,PetscReal);
1638 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDSetPeriod(Mat,PetscInt);
1639 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDGetH(Mat,PetscScalar *);
1640 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDSetOptionsPrefix(Mat,const char[]);
1641 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDSetFromOptions(Mat);
1642 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1643 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1644 
1645 /*S
1646     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1647               Jacobian vector products
1648 
1649     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1650 
1651            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1652 
1653     Level: developer
1654 
1655 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1656 S*/
1657 typedef struct _p_MatMFFD* MatMFFD;
1658 
1659 /*E
1660     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1661 
1662    Level: beginner
1663 
1664 .seealso: MatMFFDSetType(), MatMFFDRegister()
1665 E*/
1666 #define MatMFFDType char*
1667 #define MATMFFD_DS  "ds"
1668 #define MATMFFD_WP  "wp"
1669 
1670 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDSetType(Mat,const MatMFFDType);
1671 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDRegister(const char[],const char[],const char[],PetscErrorCode (*)(MatMFFD));
1672 
1673 /*MC
1674    MatMFFDRegisterDynamic - Adds a method to the MatMFFD registry.
1675 
1676    Synopsis:
1677    PetscErrorCode MatMFFDRegisterDynamic(const char *name_solver,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatMFFD))
1678 
1679    Not Collective
1680 
1681    Input Parameters:
1682 +  name_solver - name of a new user-defined compute-h module
1683 .  path - path (either absolute or relative) the library containing this solver
1684 .  name_create - name of routine to create method context
1685 -  routine_create - routine to create method context
1686 
1687    Level: developer
1688 
1689    Notes:
1690    MatMFFDRegisterDynamic() may be called multiple times to add several user-defined solvers.
1691 
1692    If dynamic libraries are used, then the fourth input argument (routine_create)
1693    is ignored.
1694 
1695    Sample usage:
1696 .vb
1697    MatMFFDRegisterDynamic("my_h",/home/username/my_lib/lib/libO/solaris/mylib.a,
1698                "MyHCreate",MyHCreate);
1699 .ve
1700 
1701    Then, your solver can be chosen with the procedural interface via
1702 $     MatMFFDSetType(mfctx,"my_h")
1703    or at runtime via the option
1704 $     -snes_mf_type my_h
1705 
1706 .keywords: MatMFFD, register
1707 
1708 .seealso: MatMFFDRegisterAll(), MatMFFDRegisterDestroy()
1709 M*/
1710 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1711 #define MatMFFDRegisterDynamic(a,b,c,d) MatMFFDRegister(a,b,c,0)
1712 #else
1713 #define MatMFFDRegisterDynamic(a,b,c,d) MatMFFDRegister(a,b,c,d)
1714 #endif
1715 
1716 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDRegisterAll(const char[]);
1717 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDRegisterDestroy(void);
1718 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDDSSetUmin(Mat,PetscReal);
1719 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatMFFDWPSetComputeNormU(Mat,PetscBool );
1720 
1721 
1722 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1723 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1724 
1725 /*
1726    PETSc interface to MUMPS
1727 */
1728 #ifdef PETSC_HAVE_MUMPS
1729 EXTERN PetscErrorCode PETSCMAT_DLLEXPORT MatSetMumpsIcntl(Mat,PetscInt,PetscInt);
1730 #endif
1731 
1732 PETSC_EXTERN_CXX_END
1733 #endif
1734