xref: /petsc/include/petscmat.h (revision bc0cc02b50436274feb0da0b98fa7f6ad991e737)
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 /*J
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 J*/
29 #define MatType char*
30 #define MATSAME            "same"
31 #define MATMAIJ            "maij"
32 #define MATSEQMAIJ         "seqmaij"
33 #define MATMPIMAIJ         "mpimaij"
34 #define MATIS              "is"
35 #define MATAIJ             "aij"
36 #define MATSEQAIJ          "seqaij"
37 #define MATSEQAIJPTHREAD   "seqaijpthread"
38 #define MATAIJPTHREAD      "aijpthread"
39 #define MATMPIAIJ          "mpiaij"
40 #define MATAIJCRL          "aijcrl"
41 #define MATSEQAIJCRL       "seqaijcrl"
42 #define MATMPIAIJCRL       "mpiaijcrl"
43 #define MATAIJCUSP         "aijcusp"
44 #define MATSEQAIJCUSP      "seqaijcusp"
45 #define MATMPIAIJCUSP      "mpiaijcusp"
46 #define MATAIJPERM         "aijperm"
47 #define MATSEQAIJPERM      "seqaijperm"
48 #define MATMPIAIJPERM      "mpiaijperm"
49 #define MATSHELL           "shell"
50 #define MATDENSE           "dense"
51 #define MATSEQDENSE        "seqdense"
52 #define MATMPIDENSE        "mpidense"
53 #define MATBAIJ            "baij"
54 #define MATSEQBAIJ         "seqbaij"
55 #define MATMPIBAIJ         "mpibaij"
56 #define MATMPIADJ          "mpiadj"
57 #define MATSBAIJ           "sbaij"
58 #define MATSEQSBAIJ        "seqsbaij"
59 #define MATMPISBAIJ        "mpisbaij"
60 #define MATSEQBSTRM        "seqbstrm"
61 #define MATMPIBSTRM        "mpibstrm"
62 #define MATBSTRM           "bstrm"
63 #define MATSEQSBSTRM       "seqsbstrm"
64 #define MATMPISBSTRM       "mpisbstrm"
65 #define MATSBSTRM          "sbstrm"
66 #define MATDAAD            "daad"
67 #define MATMFFD            "mffd"
68 #define MATNORMAL          "normal"
69 #define MATLRC             "lrc"
70 #define MATSCATTER         "scatter"
71 #define MATBLOCKMAT        "blockmat"
72 #define MATCOMPOSITE       "composite"
73 #define MATFFT             "fft"
74 #define MATFFTW            "fftw"
75 #define MATSEQCUFFT        "seqcufft"
76 #define MATTRANSPOSEMAT    "transpose"
77 #define MATSCHURCOMPLEMENT "schurcomplement"
78 #define MATPYTHON          "python"
79 #define MATHYPRESTRUCT     "hyprestruct"
80 #define MATHYPRESSTRUCT    "hypresstruct"
81 #define MATSUBMATRIX       "submatrix"
82 #define MATLOCALREF        "localref"
83 #define MATNEST            "nest"
84 #define MATIJ              "ij"
85 
86 /*J
87     MatSolverPackage - String with the name of a PETSc matrix solver type.
88 
89     For example: "petsc" indicates what PETSc provides, "superlu" indicates either
90        SuperLU or SuperLU_Dist etc.
91 
92 
93    Level: beginner
94 
95 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
96 J*/
97 #define MatSolverPackage char*
98 #define MATSOLVERSPOOLES      "spooles"
99 #define MATSOLVERSUPERLU      "superlu"
100 #define MATSOLVERSUPERLU_DIST "superlu_dist"
101 #define MATSOLVERUMFPACK      "umfpack"
102 #define MATSOLVERCHOLMOD      "cholmod"
103 #define MATSOLVERESSL         "essl"
104 #define MATSOLVERLUSOL        "lusol"
105 #define MATSOLVERMUMPS        "mumps"
106 #define MATSOLVERPASTIX       "pastix"
107 #define MATSOLVERMATLAB       "matlab"
108 #define MATSOLVERPETSC        "petsc"
109 #define MATSOLVERPLAPACK      "plapack"
110 #define MATSOLVERBAS          "bas"
111 
112 #define MATSOLVERBSTRM        "bstrm"
113 #define MATSOLVERSBSTRM       "sbstrm"
114 
115 /*E
116     MatFactorType - indicates what type of factorization is requested
117 
118     Level: beginner
119 
120    Any additions/changes here MUST also be made in include/finclude/petscmat.h
121 
122 .seealso: MatSolverPackage, MatGetFactor()
123 E*/
124 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
125 extern const char *const MatFactorTypes[];
126 
127 extern PetscErrorCode  MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
128 extern PetscErrorCode  MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
129 extern PetscErrorCode  MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
130 extern PetscErrorCode  MatGetFactorType(Mat,MatFactorType*);
131 
132 /* Logging support */
133 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
134 extern PetscClassId  MAT_CLASSID;
135 extern PetscClassId  MAT_FDCOLORING_CLASSID;
136 extern PetscClassId  MAT_TRANSPOSECOLORING_CLASSID;
137 extern PetscClassId  MAT_PARTITIONING_CLASSID;
138 extern PetscClassId  MAT_NULLSPACE_CLASSID;
139 extern PetscClassId  MATMFFD_CLASSID;
140 
141 /*E
142     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
143      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
144      that the input matrix is to be replaced with the converted matrix.
145 
146     Level: beginner
147 
148    Any additions/changes here MUST also be made in include/finclude/petscmat.h
149 
150 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
151 E*/
152 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX} MatReuse;
153 
154 /*E
155     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
156      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
157 
158     Level: beginner
159 
160 .seealso: MatGetSeqNonzerostructure()
161 E*/
162 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
163 
164 extern PetscErrorCode  MatInitializePackage(const char[]);
165 
166 extern PetscErrorCode  MatCreate(MPI_Comm,Mat*);
167 PetscPolymorphicFunction(MatCreate,(MPI_Comm comm),(comm,&A),Mat,A)
168 PetscPolymorphicFunction(MatCreate,(),(PETSC_COMM_WORLD,&A),Mat,A)
169 extern PetscErrorCode  MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
170 extern PetscErrorCode  MatSetType(Mat,const MatType);
171 extern PetscErrorCode  MatSetFromOptions(Mat);
172 extern PetscErrorCode  MatSetUpPreallocation(Mat);
173 extern PetscErrorCode  MatRegisterAll(const char[]);
174 extern PetscErrorCode  MatRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat));
175 extern PetscErrorCode  MatRegisterBaseName(const char[],const char[],const char[]);
176 extern PetscErrorCode  MatSetOptionsPrefix(Mat,const char[]);
177 extern PetscErrorCode  MatAppendOptionsPrefix(Mat,const char[]);
178 extern PetscErrorCode  MatGetOptionsPrefix(Mat,const char*[]);
179 
180 /*MC
181    MatRegisterDynamic - Adds a new matrix type
182 
183    Synopsis:
184    PetscErrorCode MatRegisterDynamic(const char *name,const char *path,const char *name_create,PetscErrorCode (*routine_create)(Mat))
185 
186    Not Collective
187 
188    Input Parameters:
189 +  name - name of a new user-defined matrix type
190 .  path - path (either absolute or relative) the library containing this solver
191 .  name_create - name of routine to create method context
192 -  routine_create - routine to create method context
193 
194    Notes:
195    MatRegisterDynamic() may be called multiple times to add several user-defined solvers.
196 
197    If dynamic libraries are used, then the fourth input argument (routine_create)
198    is ignored.
199 
200    Sample usage:
201 .vb
202    MatRegisterDynamic("my_mat",/home/username/my_lib/lib/libO/solaris/mylib.a,
203                "MyMatCreate",MyMatCreate);
204 .ve
205 
206    Then, your solver can be chosen with the procedural interface via
207 $     MatSetType(Mat,"my_mat")
208    or at runtime via the option
209 $     -mat_type my_mat
210 
211    Level: advanced
212 
213    Notes: ${PETSC_ARCH} occuring in pathname will be replaced with appropriate values.
214          If your function is not being put into a shared library then use VecRegister() instead
215 
216 .keywords: Mat, register
217 
218 .seealso: MatRegisterAll(), MatRegisterDestroy()
219 
220 M*/
221 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
222 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,0)
223 #else
224 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,d)
225 #endif
226 
227 extern PetscBool  MatRegisterAllCalled;
228 extern PetscFList MatList;
229 extern PetscFList MatColoringList;
230 extern PetscFList MatPartitioningList;
231 
232 /*E
233     MatStructure - Indicates if the matrix has the same nonzero structure
234 
235     Level: beginner
236 
237    Any additions/changes here MUST also be made in include/finclude/petscmat.h
238 
239 .seealso: MatCopy(), KSPSetOperators(), PCSetOperators()
240 E*/
241 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN,SAME_PRECONDITIONER} MatStructure;
242 
243 extern PetscErrorCode  MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
244 extern PetscErrorCode  MatCreateMPIDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
245 extern PetscErrorCode  MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
246 PetscPolymorphicFunction(MatCreateSeqAIJ,(PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[]),(PETSC_COMM_SELF,m,n,nz,nnz,&A),Mat,A)
247 PetscPolymorphicFunction(MatCreateSeqAIJ,(PetscInt m,PetscInt n,PetscInt nz),(PETSC_COMM_SELF,m,n,nz,PETSC_NULL,&A),Mat,A)
248 PetscPolymorphicFunction(MatCreateSeqAIJ,(PetscInt m,PetscInt n,const PetscInt nnz[]),(PETSC_COMM_SELF,m,n,0,nnz,&A),Mat,A)
249 PetscPolymorphicFunction(MatCreateSeqAIJ,(PetscInt m,PetscInt n),(PETSC_COMM_SELF,m,n,0,PETSC_NULL,&A),Mat,A)
250 PetscPolymorphicSubroutine(MatCreateSeqAIJ,(PetscInt m,PetscInt n,PetscInt nz,Mat *A),(PETSC_COMM_SELF,m,n,nz,PETSC_NULL,A))
251 PetscPolymorphicSubroutine(MatCreateSeqAIJ,(PetscInt m,PetscInt n,const PetscInt nnz[],Mat *A),(PETSC_COMM_SELF,m,n,0,nnz,A))
252 PetscPolymorphicSubroutine(MatCreateSeqAIJ,(PetscInt m,PetscInt n,Mat *A),(PETSC_COMM_SELF,m,n,0,PETSC_NULL,A))
253 extern PetscErrorCode  MatCreateMPIAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
254 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)
255 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)
256 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)
257 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)
258 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))
259 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))
260 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))
261 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)
262 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)
263 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)
264 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)
265 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))
266 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))
267 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))
268 extern PetscErrorCode  MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
269 extern PetscErrorCode  MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
270 
271 extern PetscErrorCode  MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
272 PetscPolymorphicFunction(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[]),(PETSC_COMM_SELF,bs,m,n,nz,nnz,&A),Mat,A)
273 PetscPolymorphicFunction(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz),(PETSC_COMM_SELF,bs,m,n,nz,PETSC_NULL,&A),Mat,A)
274 PetscPolymorphicFunction(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,const PetscInt nnz[]),(PETSC_COMM_SELF,bs,m,n,0,nnz,&A),Mat,A)
275 PetscPolymorphicFunction(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n),(PETSC_COMM_SELF,bs,m,n,0,PETSC_NULL,&A),Mat,A)
276 PetscPolymorphicSubroutine(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,Mat *A),(PETSC_COMM_SELF,bs,m,n,nz,PETSC_NULL,A))
277 PetscPolymorphicSubroutine(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,const PetscInt nnz[],Mat *A),(PETSC_COMM_SELF,bs,m,n,0,nnz,A))
278 PetscPolymorphicSubroutine(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,Mat *A),(PETSC_COMM_SELF,bs,m,n,0,PETSC_NULL,A))
279 extern PetscErrorCode  MatCreateMPIBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
280 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)
281 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)
282 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)
283 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)
284 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))
285 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))
286 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))
287 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)
288 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)
289 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)
290 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)
291 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))
292 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))
293 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))
294 extern PetscErrorCode  MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
295 
296 extern PetscErrorCode  MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
297 extern PetscErrorCode  MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
298 PetscPolymorphicFunction(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[]),(PETSC_COMM_SELF,bs,m,n,nz,nnz,&A),Mat,A)
299 PetscPolymorphicFunction(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz),(PETSC_COMM_SELF,bs,m,n,nz,PETSC_NULL,&A),Mat,A)
300 PetscPolymorphicFunction(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,const PetscInt nnz[]),(PETSC_COMM_SELF,bs,m,n,0,nnz,&A),Mat,A)
301 PetscPolymorphicFunction(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n),(PETSC_COMM_SELF,bs,m,n,0,PETSC_NULL,&A),Mat,A)
302 PetscPolymorphicSubroutine(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,Mat *A),(PETSC_COMM_SELF,bs,m,n,nz,PETSC_NULL,A))
303 PetscPolymorphicSubroutine(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,const PetscInt nnz[],Mat *A),(PETSC_COMM_SELF,bs,m,n,0,nnz,A))
304 PetscPolymorphicSubroutine(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,Mat *A),(PETSC_COMM_SELF,bs,m,n,0,PETSC_NULL,A))
305 
306 extern PetscErrorCode  MatCreateMPISBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
307 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)
308 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)
309 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)
310 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)
311 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))
312 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))
313 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))
314 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)
315 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)
316 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)
317 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)
318 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))
319 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))
320 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))
321 extern PetscErrorCode  MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
322 extern PetscErrorCode  MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
323 extern PetscErrorCode  MatXAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt*,PetscInt,const PetscInt*,PetscInt,const PetscInt*,PetscInt,const PetscInt*);
324 
325 extern PetscErrorCode  MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
326 PetscPolymorphicFunction(MatCreateShell,(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N,void *ctx),(comm,m,n,M,N,ctx,&A),Mat,A)
327 PetscPolymorphicFunction(MatCreateShell,(PetscInt m,PetscInt n,PetscInt M,PetscInt N,void *ctx),(PETSC_COMM_WORLD,m,n,M,N,ctx,&A),Mat,A)
328 extern PetscErrorCode  MatCreateAdic(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,void (*)(void),Mat*);
329 extern PetscErrorCode  MatCreateNormal(Mat,Mat*);
330 PetscPolymorphicFunction(MatCreateNormal,(Mat mat),(mat,&A),Mat,A)
331 extern PetscErrorCode  MatCreateLRC(Mat,Mat,Mat,Mat*);
332 extern PetscErrorCode  MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,Mat*);
333 extern PetscErrorCode  MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
334 extern PetscErrorCode  MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
335 
336 extern PetscErrorCode  MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
337 extern PetscErrorCode  MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
338 extern PetscErrorCode  MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
339 extern PetscErrorCode  MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
340 
341 extern PetscErrorCode  MatCreateScatter(MPI_Comm,VecScatter,Mat*);
342 extern PetscErrorCode  MatScatterSetVecScatter(Mat,VecScatter);
343 extern PetscErrorCode  MatScatterGetVecScatter(Mat,VecScatter*);
344 extern PetscErrorCode  MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
345 extern PetscErrorCode  MatCompositeAddMat(Mat,Mat);
346 extern PetscErrorCode  MatCompositeMerge(Mat);
347 extern PetscErrorCode  MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
348 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
349 extern PetscErrorCode  MatCompositeSetType(Mat,MatCompositeType);
350 
351 extern PetscErrorCode  MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],const MatType,Mat*);
352 extern PetscErrorCode  MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
353 
354 extern PetscErrorCode  MatCreateTranspose(Mat,Mat*);
355 extern PetscErrorCode  MatCreateSubMatrix(Mat,IS,IS,Mat*);
356 extern PetscErrorCode  MatSubMatrixUpdate(Mat,Mat,IS,IS);
357 extern PetscErrorCode  MatCreateLocalRef(Mat,IS,IS,Mat*);
358 
359 extern PetscErrorCode  MatPythonSetType(Mat,const char[]);
360 
361 extern PetscErrorCode  MatSetUp(Mat);
362 extern PetscErrorCode  MatDestroy(Mat*);
363 
364 extern PetscErrorCode  MatConjugate(Mat);
365 extern PetscErrorCode  MatRealPart(Mat);
366 extern PetscErrorCode  MatImaginaryPart(Mat);
367 extern PetscErrorCode  MatGetDiagonalBlock(Mat,Mat*);
368 extern PetscErrorCode  MatGetTrace(Mat,PetscScalar*);
369 extern PetscErrorCode  MatInvertBlockDiagonal(Mat,PetscScalar **);
370 
371 /* ------------------------------------------------------------*/
372 extern PetscErrorCode  MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
373 extern PetscErrorCode  MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
374 extern PetscErrorCode  MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
375 extern PetscErrorCode  MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
376 extern PetscErrorCode  MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
377 
378 /*S
379      MatStencil - Data structure (C struct) for storing information about a single row or
380         column of a matrix as indexed on an associated grid.
381 
382    Fortran usage is different, see MatSetValuesStencil() for details.
383 
384    Level: beginner
385 
386   Concepts: matrix; linear operator
387 
388 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
389 S*/
390 typedef struct {
391   PetscInt k,j,i,c;
392 } MatStencil;
393 
394 extern PetscErrorCode  MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
395 extern PetscErrorCode  MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
396 extern PetscErrorCode  MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
397 
398 extern PetscErrorCode  MatSetColoring(Mat,ISColoring);
399 extern PetscErrorCode  MatSetValuesAdic(Mat,void*);
400 extern PetscErrorCode  MatSetValuesAdifor(Mat,PetscInt,void*);
401 
402 /*E
403     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
404      to continue to add values to it
405 
406     Level: beginner
407 
408 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
409 E*/
410 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
411 extern PetscErrorCode  MatAssemblyBegin(Mat,MatAssemblyType);
412 extern PetscErrorCode  MatAssemblyEnd(Mat,MatAssemblyType);
413 extern PetscErrorCode  MatAssembled(Mat,PetscBool *);
414 
415 
416 
417 /*E
418     MatOption - Options that may be set for a matrix and its behavior or storage
419 
420     Level: beginner
421 
422    Any additions/changes here MUST also be made in include/finclude/petscmat.h
423 
424 .seealso: MatSetOption()
425 E*/
426 typedef enum {MAT_ROW_ORIENTED,MAT_NEW_NONZERO_LOCATIONS,
427               MAT_SYMMETRIC,
428               MAT_STRUCTURALLY_SYMMETRIC,
429               MAT_NEW_DIAGONALS,MAT_IGNORE_OFF_PROC_ENTRIES,
430               MAT_NEW_NONZERO_LOCATION_ERR,
431               MAT_NEW_NONZERO_ALLOCATION_ERR,MAT_USE_HASH_TABLE,
432               MAT_KEEP_NONZERO_PATTERN,MAT_IGNORE_ZERO_ENTRIES,
433               MAT_USE_INODES,
434               MAT_HERMITIAN,
435               MAT_SYMMETRY_ETERNAL,
436               MAT_CHECK_COMPRESSED_ROW,
437               MAT_IGNORE_LOWER_TRIANGULAR,MAT_ERROR_LOWER_TRIANGULAR,
438               MAT_GETROW_UPPERTRIANGULAR,MAT_UNUSED_NONZERO_LOCATION_ERR,
439               MAT_SPD,MAT_NO_OFF_PROC_ENTRIES,MAT_NO_OFF_PROC_ZERO_ROWS,
440               NUM_MAT_OPTIONS} MatOption;
441 extern const char *MatOptions[];
442 extern PetscErrorCode  MatSetOption(Mat,MatOption,PetscBool );
443 extern PetscErrorCode  MatGetType(Mat,const MatType*);
444 PetscPolymorphicFunction(MatGetType,(Mat mat),(mat,&t),const MatType,t)
445 
446 extern PetscErrorCode  MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
447 extern PetscErrorCode  MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
448 extern PetscErrorCode  MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
449 extern PetscErrorCode  MatGetRowUpperTriangular(Mat);
450 extern PetscErrorCode  MatRestoreRowUpperTriangular(Mat);
451 extern PetscErrorCode  MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
452 extern PetscErrorCode  MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
453 extern PetscErrorCode  MatGetColumnVector(Mat,Vec,PetscInt);
454 extern PetscErrorCode  MatGetArray(Mat,PetscScalar *[]);
455 PetscPolymorphicFunction(MatGetArray,(Mat mat),(mat,&a),PetscScalar*,a)
456 extern PetscErrorCode  MatRestoreArray(Mat,PetscScalar *[]);
457 extern PetscErrorCode  MatGetBlockSize(Mat,PetscInt *);
458 PetscPolymorphicFunction(MatGetBlockSize,(Mat mat),(mat,&a),PetscInt,a)
459 extern PetscErrorCode  MatSetBlockSize(Mat,PetscInt);
460 
461 
462 extern PetscErrorCode  MatMult(Mat,Vec,Vec);
463 extern PetscErrorCode  MatMultDiagonalBlock(Mat,Vec,Vec);
464 extern PetscErrorCode  MatMultAdd(Mat,Vec,Vec,Vec);
465 PetscPolymorphicSubroutine(MatMultAdd,(Mat A,Vec x,Vec y),(A,x,y,y))
466 extern PetscErrorCode  MatMultTranspose(Mat,Vec,Vec);
467 extern PetscErrorCode  MatMultHermitianTranspose(Mat,Vec,Vec);
468 extern PetscErrorCode  MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
469 PetscPolymorphicFunction(MatIsTranspose,(Mat A,Mat B,PetscReal tol),(A,B,tol,&t),PetscBool ,t)
470 PetscPolymorphicFunction(MatIsTranspose,(Mat A,Mat B),(A,B,0,&t),PetscBool ,t)
471 extern PetscErrorCode  MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
472 extern PetscErrorCode  MatMultTransposeAdd(Mat,Vec,Vec,Vec);
473 extern PetscErrorCode  MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
474 PetscPolymorphicSubroutine(MatMultTransposeAdd,(Mat A,Vec x,Vec y),(A,x,y,y))
475 extern PetscErrorCode  MatMultConstrained(Mat,Vec,Vec);
476 extern PetscErrorCode  MatMultTransposeConstrained(Mat,Vec,Vec);
477 extern PetscErrorCode  MatMatSolve(Mat,Mat,Mat);
478 
479 /*E
480     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
481   its numerical values copied over or just its nonzero structure.
482 
483     Level: beginner
484 
485    Any additions/changes here MUST also be made in include/finclude/petscmat.h
486 
487 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
488 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
489 $                               have several matrices with the same nonzero pattern.
490 
491 .seealso: MatDuplicate()
492 E*/
493 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
494 
495 extern PetscErrorCode  MatConvert(Mat,const MatType,MatReuse,Mat*);
496 PetscPolymorphicFunction(MatConvert,(Mat A,const MatType t),(A,t,MAT_INITIAL_MATRIX,&a),Mat,a)
497 extern PetscErrorCode  MatDuplicate(Mat,MatDuplicateOption,Mat*);
498 PetscPolymorphicFunction(MatDuplicate,(Mat A,MatDuplicateOption o),(A,o,&a),Mat,a)
499 PetscPolymorphicFunction(MatDuplicate,(Mat A),(A,MAT_COPY_VALUES,&a),Mat,a)
500 
501 
502 extern PetscErrorCode  MatCopy(Mat,Mat,MatStructure);
503 extern PetscErrorCode  MatView(Mat,PetscViewer);
504 extern PetscErrorCode  MatIsSymmetric(Mat,PetscReal,PetscBool *);
505 PetscPolymorphicFunction(MatIsSymmetric,(Mat A,PetscReal tol),(A,tol,&t),PetscBool ,t)
506 PetscPolymorphicFunction(MatIsSymmetric,(Mat A),(A,0,&t),PetscBool ,t)
507 extern PetscErrorCode  MatIsStructurallySymmetric(Mat,PetscBool *);
508 PetscPolymorphicFunction(MatIsStructurallySymmetric,(Mat A),(A,&t),PetscBool ,t)
509 extern PetscErrorCode  MatIsHermitian(Mat,PetscReal,PetscBool *);
510 PetscPolymorphicFunction(MatIsHermitian,(Mat A),(A,0,&t),PetscBool ,t)
511 extern PetscErrorCode  MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
512 extern PetscErrorCode  MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
513 extern PetscErrorCode  MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
514 extern PetscErrorCode  MatLoad(Mat, PetscViewer);
515 
516 extern PetscErrorCode  MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,PetscInt *[],PetscInt *[],PetscBool  *);
517 extern PetscErrorCode  MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,PetscInt *[],PetscInt *[],PetscBool  *);
518 extern PetscErrorCode  MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,PetscInt *[],PetscInt *[],PetscBool  *);
519 extern PetscErrorCode  MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,PetscInt *[],PetscInt *[],PetscBool  *);
520 
521 /*S
522      MatInfo - Context of matrix information, used with MatGetInfo()
523 
524    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
525 
526    Level: intermediate
527 
528   Concepts: matrix^nonzero information
529 
530 .seealso:  MatGetInfo(), MatInfoType
531 S*/
532 typedef struct {
533   PetscLogDouble block_size;                         /* block size */
534   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
535   PetscLogDouble memory;                             /* memory allocated */
536   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
537   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
538   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
539   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
540 } MatInfo;
541 
542 /*E
543     MatInfoType - Indicates if you want information about the local part of the matrix,
544      the entire parallel matrix or the maximum over all the local parts.
545 
546     Level: beginner
547 
548    Any additions/changes here MUST also be made in include/finclude/petscmat.h
549 
550 .seealso: MatGetInfo(), MatInfo
551 E*/
552 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
553 extern PetscErrorCode  MatGetInfo(Mat,MatInfoType,MatInfo*);
554 extern PetscErrorCode  MatGetDiagonal(Mat,Vec);
555 extern PetscErrorCode  MatGetRowMax(Mat,Vec,PetscInt[]);
556 extern PetscErrorCode  MatGetRowMin(Mat,Vec,PetscInt[]);
557 extern PetscErrorCode  MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
558 extern PetscErrorCode  MatGetRowMinAbs(Mat,Vec,PetscInt[]);
559 extern PetscErrorCode  MatGetRowSum(Mat,Vec);
560 extern PetscErrorCode  MatTranspose(Mat,MatReuse,Mat*);
561 PetscPolymorphicFunction(MatTranspose,(Mat A),(A,MAT_INITIAL_MATRIX,&t),Mat,t)
562 extern PetscErrorCode  MatHermitianTranspose(Mat,MatReuse,Mat*);
563 extern PetscErrorCode  MatPermute(Mat,IS,IS,Mat *);
564 PetscPolymorphicFunction(MatPermute,(Mat A,IS is1,IS is2),(A,is1,is2,&t),Mat,t)
565 extern PetscErrorCode  MatDiagonalScale(Mat,Vec,Vec);
566 extern PetscErrorCode  MatDiagonalSet(Mat,Vec,InsertMode);
567 extern PetscErrorCode  MatEqual(Mat,Mat,PetscBool *);
568 PetscPolymorphicFunction(MatEqual,(Mat A,Mat B),(A,B,&t),PetscBool ,t)
569 extern PetscErrorCode  MatMultEqual(Mat,Mat,PetscInt,PetscBool *);
570 extern PetscErrorCode  MatMultAddEqual(Mat,Mat,PetscInt,PetscBool *);
571 extern PetscErrorCode  MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool *);
572 extern PetscErrorCode  MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool *);
573 
574 extern PetscErrorCode  MatNorm(Mat,NormType,PetscReal *);
575 PetscPolymorphicFunction(MatNorm,(Mat A,NormType t),(A,t,&n),PetscReal,n)
576 extern PetscErrorCode  MatGetColumnNorms(Mat,NormType,PetscReal *);
577 extern PetscErrorCode  MatZeroEntries(Mat);
578 extern PetscErrorCode  MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
579 extern PetscErrorCode  MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
580 extern PetscErrorCode  MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
581 extern PetscErrorCode  MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
582 extern PetscErrorCode  MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
583 extern PetscErrorCode  MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
584 
585 extern PetscErrorCode  MatUseScaledForm(Mat,PetscBool );
586 extern PetscErrorCode  MatScaleSystem(Mat,Vec,Vec);
587 extern PetscErrorCode  MatUnScaleSystem(Mat,Vec,Vec);
588 
589 extern PetscErrorCode  MatGetSize(Mat,PetscInt*,PetscInt*);
590 extern PetscErrorCode  MatGetLocalSize(Mat,PetscInt*,PetscInt*);
591 extern PetscErrorCode  MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
592 extern PetscErrorCode  MatGetOwnershipRanges(Mat,const PetscInt**);
593 extern PetscErrorCode  MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
594 extern PetscErrorCode  MatGetOwnershipRangesColumn(Mat,const PetscInt**);
595 
596 extern PetscErrorCode  MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
597 extern PetscErrorCode  MatGetSubMatricesParallel(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
598 extern PetscErrorCode  MatDestroyMatrices(PetscInt,Mat *[]);
599 extern PetscErrorCode  MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
600 extern PetscErrorCode  MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
601 extern PetscErrorCode  MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
602 extern PetscErrorCode  MatGetSeqNonzeroStructure(Mat,Mat*);
603 extern PetscErrorCode  MatDestroySeqNonzeroStructure(Mat*);
604 
605 extern PetscErrorCode  MatMerge(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
606 extern PetscErrorCode  MatMergeSymbolic(MPI_Comm,Mat,PetscInt,Mat*);
607 extern PetscErrorCode  MatMergeNumeric(MPI_Comm,Mat,PetscInt,Mat);
608 extern PetscErrorCode  MatMerge_SeqsToMPI(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
609 extern PetscErrorCode  MatMerge_SeqsToMPISymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
610 extern PetscErrorCode  MatMerge_SeqsToMPINumeric(Mat,Mat);
611 extern PetscErrorCode  MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
612 extern PetscErrorCode  MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
613 extern PetscErrorCode  MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
614 #if defined (PETSC_USE_CTABLE)
615 extern PetscErrorCode  MatGetCommunicationStructs(Mat, Vec *, PetscTable *, VecScatter *);
616 #else
617 extern PetscErrorCode  MatGetCommunicationStructs(Mat, Vec *, PetscInt *[], VecScatter *);
618 #endif
619 extern PetscErrorCode  MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
620 
621 extern PetscErrorCode  MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
622 
623 extern PetscErrorCode  MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
624 extern PetscErrorCode  MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
625 extern PetscErrorCode  MatMatMultNumeric(Mat,Mat,Mat);
626 
627 extern PetscErrorCode  MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
628 extern PetscErrorCode  MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
629 extern PetscErrorCode  MatPtAPNumeric(Mat,Mat,Mat);
630 extern PetscErrorCode  MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
631 extern PetscErrorCode  MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
632 extern PetscErrorCode  MatRARtNumeric(Mat,Mat,Mat);
633 
634 extern PetscErrorCode  MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
635 extern PetscErrorCode  MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
636 extern PetscErrorCode  MatTransposetMatMultNumeric(Mat,Mat,Mat);
637 extern PetscErrorCode  MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
638 extern PetscErrorCode  MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
639 extern PetscErrorCode  MatMatTransposeMultNumeric(Mat,Mat,Mat);
640 
641 extern PetscErrorCode  MatAXPY(Mat,PetscScalar,Mat,MatStructure);
642 extern PetscErrorCode  MatAYPX(Mat,PetscScalar,Mat,MatStructure);
643 
644 extern PetscErrorCode  MatScale(Mat,PetscScalar);
645 extern PetscErrorCode  MatShift(Mat,PetscScalar);
646 
647 extern PetscErrorCode  MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
648 extern PetscErrorCode  MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
649 extern PetscErrorCode  MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
650 extern PetscErrorCode  MatGetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
651 extern PetscErrorCode  MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
652 extern PetscErrorCode  MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
653 extern PetscErrorCode  MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
654 extern PetscErrorCode  MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
655 extern PetscErrorCode  MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
656 extern PetscErrorCode  MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
657 
658 extern PetscErrorCode  MatStashSetInitialSize(Mat,PetscInt,PetscInt);
659 extern PetscErrorCode  MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
660 
661 extern PetscErrorCode  MatInterpolate(Mat,Vec,Vec);
662 extern PetscErrorCode  MatInterpolateAdd(Mat,Vec,Vec,Vec);
663 PetscPolymorphicSubroutine(MatInterpolateAdd,(Mat A,Vec x,Vec y),(A,x,y,y))
664 extern PetscErrorCode  MatRestrict(Mat,Vec,Vec);
665 extern PetscErrorCode  MatGetVecs(Mat,Vec*,Vec*);
666 extern PetscErrorCode  MatGetRedundantMatrix(Mat,PetscInt,MPI_Comm,PetscInt,MatReuse,Mat*);
667 extern PetscErrorCode  MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
668 extern PetscErrorCode  MatFindZeroDiagonals(Mat,IS*);
669 
670 /*MC
671    MatSetValue - Set a single entry into a matrix.
672 
673    Not collective
674 
675    Input Parameters:
676 +  m - the matrix
677 .  row - the row location of the entry
678 .  col - the column location of the entry
679 .  value - the value to insert
680 -  mode - either INSERT_VALUES or ADD_VALUES
681 
682    Notes:
683    For efficiency one should use MatSetValues() and set several or many
684    values simultaneously if possible.
685 
686    Level: beginner
687 
688 .seealso: MatSetValues(), MatSetValueLocal()
689 M*/
690 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
691 
692 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
693 
694 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
695 
696 /*MC
697    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
698        row in a matrix providing the data that one can use to correctly preallocate the matrix.
699 
700    Synopsis:
701    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
702 
703    Collective on MPI_Comm
704 
705    Input Parameters:
706 +  comm - the communicator that will share the eventually allocated matrix
707 .  nrows - the number of LOCAL rows in the matrix
708 -  ncols - the number of LOCAL columns in the matrix
709 
710    Output Parameters:
711 +  dnz - the array that will be passed to the matrix preallocation routines
712 -  ozn - the other array passed to the matrix preallocation routines
713 
714 
715    Level: intermediate
716 
717    Notes:
718     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
719 
720    Do not malloc or free dnz and onz, that is handled internally by these routines
721 
722    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
723 
724    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
725 
726   Concepts: preallocation^Matrix
727 
728 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
729           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
730 M*/
731 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
732 { \
733   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
734   _4_ierr = PetscMalloc2(__nrows,PetscInt,&dnz,__nrows,PetscInt,&onz);CHKERRQ(_4_ierr); \
735   _4_ierr = PetscMemzero(dnz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
736   _4_ierr = PetscMemzero(onz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
737   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
738   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
739 
740 /*MC
741    MatPreallocateSymmetricInitialize - Begins the block of code that will count the number of nonzeros per
742        row in a matrix providing the data that one can use to correctly preallocate the matrix.
743 
744    Synopsis:
745    PetscErrorCode MatPreallocateSymmetricInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
746 
747    Collective on MPI_Comm
748 
749    Input Parameters:
750 +  comm - the communicator that will share the eventually allocated matrix
751 .  nrows - the number of LOCAL rows in the matrix
752 -  ncols - the number of LOCAL columns in the matrix
753 
754    Output Parameters:
755 +  dnz - the array that will be passed to the matrix preallocation routines
756 -  ozn - the other array passed to the matrix preallocation routines
757 
758 
759    Level: intermediate
760 
761    Notes:
762     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
763 
764    Do not malloc or free dnz and onz, that is handled internally by these routines
765 
766    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
767 
768   Concepts: preallocation^Matrix
769 
770 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
771           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
772 M*/
773 #define MatPreallocateSymmetricInitialize(comm,nrows,ncols,dnz,onz) 0; \
774 { \
775   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__end; \
776   _4_ierr = PetscMalloc2(__nrows,PetscInt,&dnz,__nrows,PetscInt,&onz);CHKERRQ(_4_ierr); \
777   _4_ierr = PetscMemzero(dnz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
778   _4_ierr = PetscMemzero(onz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
779   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr);\
780   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
781 
782 /*MC
783    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
784        inserted using a local number of the rows and columns
785 
786    Synopsis:
787    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
788 
789    Not Collective
790 
791    Input Parameters:
792 +  map - the row mapping from local numbering to global numbering
793 .  nrows - the number of rows indicated
794 .  rows - the indices of the rows
795 .  cmap - the column mapping from local to global numbering
796 .  ncols - the number of columns in the matrix
797 .  cols - the columns indicated
798 .  dnz - the array that will be passed to the matrix preallocation routines
799 -  ozn - the other array passed to the matrix preallocation routines
800 
801 
802    Level: intermediate
803 
804    Notes:
805     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
806 
807    Do not malloc or free dnz and onz, that is handled internally by these routines
808 
809   Concepts: preallocation^Matrix
810 
811 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
812           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
813 M*/
814 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
815 {\
816   PetscInt __l;\
817   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
818   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
819   for (__l=0;__l<nrows;__l++) {\
820     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
821   }\
822 }
823 
824 /*MC
825    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
826        inserted using a local number of the rows and columns
827 
828    Synopsis:
829    PetscErrorCode MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
830 
831    Not Collective
832 
833    Input Parameters:
834 +  map - the mapping between local numbering and global numbering
835 .  nrows - the number of rows indicated
836 .  rows - the indices of the rows
837 .  ncols - the number of columns in the matrix
838 .  cols - the columns indicated
839 .  dnz - the array that will be passed to the matrix preallocation routines
840 -  ozn - the other array passed to the matrix preallocation routines
841 
842 
843    Level: intermediate
844 
845    Notes:
846     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
847 
848    Do not malloc or free dnz and onz that is handled internally by these routines
849 
850   Concepts: preallocation^Matrix
851 
852 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
853           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
854 M*/
855 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
856 {\
857   PetscInt __l;\
858   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
859   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
860   for (__l=0;__l<nrows;__l++) {\
861     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
862   }\
863 }
864 
865 /*MC
866    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
867        inserted using a local number of the rows and columns
868 
869    Synopsis:
870    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
871 
872    Not Collective
873 
874    Input Parameters:
875 +  row - the row
876 .  ncols - the number of columns in the matrix
877 -  cols - the columns indicated
878 
879    Output Parameters:
880 +  dnz - the array that will be passed to the matrix preallocation routines
881 -  ozn - the other array passed to the matrix preallocation routines
882 
883 
884    Level: intermediate
885 
886    Notes:
887     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
888 
889    Do not malloc or free dnz and onz that is handled internally by these routines
890 
891    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
892 
893   Concepts: preallocation^Matrix
894 
895 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
896           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
897 M*/
898 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
899 { PetscInt __i; \
900   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);\
901   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);\
902   for (__i=0; __i<nc; __i++) {\
903     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
904     else dnz[row - __rstart]++;\
905   }\
906 }
907 
908 /*MC
909    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
910        inserted using a local number of the rows and columns
911 
912    Synopsis:
913    PetscErrorCode MatPreallocateSymmetricSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
914 
915    Not Collective
916 
917    Input Parameters:
918 +  nrows - the number of rows indicated
919 .  rows - the indices of the rows
920 .  ncols - the number of columns in the matrix
921 .  cols - the columns indicated
922 .  dnz - the array that will be passed to the matrix preallocation routines
923 -  ozn - the other array passed to the matrix preallocation routines
924 
925 
926    Level: intermediate
927 
928    Notes:
929     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
930 
931    Do not malloc or free dnz and onz that is handled internally by these routines
932 
933    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
934 
935   Concepts: preallocation^Matrix
936 
937 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
938           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
939 M*/
940 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
941 { PetscInt __i; \
942   for (__i=0; __i<nc; __i++) {\
943     if (cols[__i] >= __end) onz[row - __rstart]++; \
944     else if (cols[__i] >= row) dnz[row - __rstart]++;\
945   }\
946 }
947 
948 /*MC
949    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
950 
951    Synopsis:
952    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
953 
954    Not Collective
955 
956    Input Parameters:
957 .  A - matrix
958 .  row - row where values exist (must be local to this process)
959 .  ncols - number of columns
960 .  cols - columns with nonzeros
961 .  dnz - the array that will be passed to the matrix preallocation routines
962 -  ozn - the other array passed to the matrix preallocation routines
963 
964 
965    Level: intermediate
966 
967    Notes:
968     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
969 
970    Do not malloc or free dnz and onz that is handled internally by these routines
971 
972    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
973 
974   Concepts: preallocation^Matrix
975 
976 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
977           MatPreallocateSymmetricInitialize(), MatPreallocateSymmetricSetLocal()
978 M*/
979 #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);}
980 
981 
982 /*MC
983    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
984        row in a matrix providing the data that one can use to correctly preallocate the matrix.
985 
986    Synopsis:
987    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
988 
989    Collective on MPI_Comm
990 
991    Input Parameters:
992 +  dnz - the array that was be passed to the matrix preallocation routines
993 -  ozn - the other array passed to the matrix preallocation routines
994 
995 
996    Level: intermediate
997 
998    Notes:
999     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
1000 
1001    Do not malloc or free dnz and onz that is handled internally by these routines
1002 
1003    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
1004 
1005   Concepts: preallocation^Matrix
1006 
1007 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
1008           MatPreallocateSymmetricInitialize(), MatPreallocateSymmetricSetLocal()
1009 M*/
1010 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
1011 
1012 
1013 
1014 /* Routines unique to particular data structures */
1015 extern PetscErrorCode  MatShellGetContext(Mat,void *);
1016 PetscPolymorphicFunction(MatShellGetContext,(Mat A),(A,&t),void*,t)
1017 
1018 extern PetscErrorCode  MatInodeAdjustForInodes(Mat,IS*,IS*);
1019 extern PetscErrorCode  MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1020 
1021 extern PetscErrorCode  MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1022 extern PetscErrorCode  MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1023 extern PetscErrorCode  MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1024 extern PetscErrorCode  MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1025 extern PetscErrorCode  MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1026 extern PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
1027 
1028 #define MAT_SKIP_ALLOCATION -4
1029 
1030 extern PetscErrorCode  MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1031 PetscPolymorphicSubroutine(MatSeqBAIJSetPreallocation,(Mat A,PetscInt bs,const PetscInt nnz[]),(A,bs,0,nnz))
1032 extern PetscErrorCode  MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1033 PetscPolymorphicSubroutine(MatSeqSBAIJSetPreallocation,(Mat A,PetscInt bs,const PetscInt nnz[]),(A,bs,0,nnz))
1034 extern PetscErrorCode  MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1035 PetscPolymorphicSubroutine(MatSeqAIJSetPreallocation,(Mat A,const PetscInt nnz[]),(A,0,nnz))
1036 
1037 extern PetscErrorCode  MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1038 PetscPolymorphicSubroutine(MatMPIBAIJSetPreallocation,(Mat A,PetscInt bs,const PetscInt nnz[],const PetscInt onz[]),(A,bs,0,nnz,0,onz))
1039 extern PetscErrorCode  MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1040 extern PetscErrorCode  MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1041 extern PetscErrorCode  MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1042 extern PetscErrorCode  MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1043 extern PetscErrorCode  MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1044 extern PetscErrorCode  MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1045 extern PetscErrorCode  MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1046 extern PetscErrorCode  MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1047 extern PetscErrorCode  MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1048 extern PetscErrorCode  MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,PetscInt*[]);
1049 extern PetscErrorCode  MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,PetscInt*[]);
1050 extern PetscErrorCode  MatAdicSetLocalFunction(Mat,void (*)(void));
1051 extern PetscErrorCode  MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1052 
1053 extern PetscErrorCode  MatSeqDenseSetLDA(Mat,PetscInt);
1054 extern PetscErrorCode  MatDenseGetLocalMatrix(Mat,Mat*);
1055 
1056 extern PetscErrorCode  MatStoreValues(Mat);
1057 extern PetscErrorCode  MatRetrieveValues(Mat);
1058 
1059 extern PetscErrorCode  MatDAADSetCtx(Mat,void*);
1060 
1061 extern PetscErrorCode  MatFindNonzeroRows(Mat,IS*);
1062 /*
1063   These routines are not usually accessed directly, rather solving is
1064   done through the KSP and PC interfaces.
1065 */
1066 
1067 /*J
1068     MatOrderingType - String with the name of a PETSc matrix ordering or the creation function
1069        with an optional dynamic library name, for example
1070        http://www.mcs.anl.gov/petsc/lib.a:orderingcreate()
1071 
1072    Level: beginner
1073 
1074    Cannot use const because the PC objects manipulate the string
1075 
1076 .seealso: MatGetOrdering()
1077 J*/
1078 #define MatOrderingType char*
1079 #define MATORDERINGNATURAL     "natural"
1080 #define MATORDERINGND          "nd"
1081 #define MATORDERING1WD         "1wd"
1082 #define MATORDERINGRCM         "rcm"
1083 #define MATORDERINGQMD         "qmd"
1084 #define MATORDERINGROWLENGTH   "rowlength"
1085 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1086 
1087 extern PetscErrorCode  MatGetOrdering(Mat,const MatOrderingType,IS*,IS*);
1088 extern PetscErrorCode  MatGetOrderingList(PetscFList *list);
1089 extern PetscErrorCode  MatOrderingRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,const MatOrderingType,IS*,IS*));
1090 
1091 /*MC
1092    MatOrderingRegisterDynamic - Adds a new sparse matrix ordering to the matrix package.
1093 
1094    Synopsis:
1095    PetscErrorCode MatOrderingRegisterDynamic(const char *name_ordering,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatOrdering))
1096 
1097    Not Collective
1098 
1099    Input Parameters:
1100 +  sname - name of ordering (for example MATORDERINGND)
1101 .  path - location of library where creation routine is
1102 .  name - name of function that creates the ordering type,a string
1103 -  function - function pointer that creates the ordering
1104 
1105    Level: developer
1106 
1107    If dynamic libraries are used, then the fourth input argument (function)
1108    is ignored.
1109 
1110    Sample usage:
1111 .vb
1112    MatOrderingRegisterDynamic("my_order",/home/username/my_lib/lib/libO/solaris/mylib.a,
1113                "MyOrder",MyOrder);
1114 .ve
1115 
1116    Then, your partitioner can be chosen with the procedural interface via
1117 $     MatOrderingSetType(part,"my_order)
1118    or at runtime via the option
1119 $     -pc_factor_mat_ordering_type my_order
1120 
1121    ${PETSC_ARCH} occuring in pathname will be replaced with appropriate values.
1122 
1123 .keywords: matrix, ordering, register
1124 
1125 .seealso: MatOrderingRegisterDestroy(), MatOrderingRegisterAll()
1126 M*/
1127 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1128 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,0)
1129 #else
1130 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,d)
1131 #endif
1132 
1133 extern PetscErrorCode  MatOrderingRegisterDestroy(void);
1134 extern PetscErrorCode  MatOrderingRegisterAll(const char[]);
1135 extern PetscBool  MatOrderingRegisterAllCalled;
1136 extern PetscFList MatOrderingList;
1137 
1138 extern PetscErrorCode  MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1139 
1140 /*S
1141     MatFactorShiftType - Numeric Shift.
1142 
1143    Level: beginner
1144 
1145 S*/
1146 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1147 extern const char *MatFactorShiftTypes[];
1148 
1149 /*S
1150    MatFactorInfo - Data passed into the matrix factorization routines
1151 
1152    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1153 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1154 
1155    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1156 
1157       You can use MatFactorInfoInitialize() to set default values.
1158 
1159    Level: developer
1160 
1161 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1162           MatFactorInfoInitialize()
1163 
1164 S*/
1165 typedef struct {
1166   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1167   PetscReal     usedt;
1168   PetscReal     dt;             /* drop tolerance */
1169   PetscReal     dtcol;          /* tolerance for pivoting */
1170   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1171   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1172   PetscReal     levels;         /* ICC/ILU(levels) */
1173   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1174                                    factorization may be faster if do not pivot */
1175   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1176   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1177   PetscReal     shiftamount;     /* how large the shift is */
1178 } MatFactorInfo;
1179 
1180 extern PetscErrorCode  MatFactorInfoInitialize(MatFactorInfo*);
1181 extern PetscErrorCode  MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1182 extern PetscErrorCode  MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1183 extern PetscErrorCode  MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1184 extern PetscErrorCode  MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1185 extern PetscErrorCode  MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1186 extern PetscErrorCode  MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1187 extern PetscErrorCode  MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1188 extern PetscErrorCode  MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1189 extern PetscErrorCode  MatICCFactor(Mat,IS,const MatFactorInfo*);
1190 extern PetscErrorCode  MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1191 extern PetscErrorCode  MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1192 extern PetscErrorCode  MatSolve(Mat,Vec,Vec);
1193 extern PetscErrorCode  MatForwardSolve(Mat,Vec,Vec);
1194 extern PetscErrorCode  MatBackwardSolve(Mat,Vec,Vec);
1195 extern PetscErrorCode  MatSolveAdd(Mat,Vec,Vec,Vec);
1196 extern PetscErrorCode  MatSolveTranspose(Mat,Vec,Vec);
1197 extern PetscErrorCode  MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1198 extern PetscErrorCode  MatSolves(Mat,Vecs,Vecs);
1199 
1200 extern PetscErrorCode  MatSetUnfactored(Mat);
1201 
1202 /*E
1203     MatSORType - What type of (S)SOR to perform
1204 
1205     Level: beginner
1206 
1207    May be bitwise ORd together
1208 
1209    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1210 
1211    MatSORType may be bitwise ORd together, so do not change the numbers
1212 
1213 .seealso: MatSOR()
1214 E*/
1215 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1216               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1217               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1218               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1219 extern PetscErrorCode  MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1220 
1221 /*
1222     These routines are for efficiently computing Jacobians via finite differences.
1223 */
1224 
1225 /*J
1226     MatColoringType - String with the name of a PETSc matrix coloring or the creation function
1227        with an optional dynamic library name, for example
1228        http://www.mcs.anl.gov/petsc/lib.a:coloringcreate()
1229 
1230    Level: beginner
1231 
1232 .seealso: MatGetColoring()
1233 J*/
1234 #define MatColoringType char*
1235 #define MATCOLORINGNATURAL "natural"
1236 #define MATCOLORINGSL      "sl"
1237 #define MATCOLORINGLF      "lf"
1238 #define MATCOLORINGID      "id"
1239 
1240 extern PetscErrorCode  MatGetColoring(Mat,const MatColoringType,ISColoring*);
1241 extern PetscErrorCode  MatColoringRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,MatColoringType,ISColoring *));
1242 
1243 /*MC
1244    MatColoringRegisterDynamic - Adds a new sparse matrix coloring to the
1245                                matrix package.
1246 
1247    Synopsis:
1248    PetscErrorCode MatColoringRegisterDynamic(const char *name_coloring,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatColoring))
1249 
1250    Not Collective
1251 
1252    Input Parameters:
1253 +  sname - name of Coloring (for example MATCOLORINGSL)
1254 .  path - location of library where creation routine is
1255 .  name - name of function that creates the Coloring type, a string
1256 -  function - function pointer that creates the coloring
1257 
1258    Level: developer
1259 
1260    If dynamic libraries are used, then the fourth input argument (function)
1261    is ignored.
1262 
1263    Sample usage:
1264 .vb
1265    MatColoringRegisterDynamic("my_color",/home/username/my_lib/lib/libO/solaris/mylib.a,
1266                "MyColor",MyColor);
1267 .ve
1268 
1269    Then, your partitioner can be chosen with the procedural interface via
1270 $     MatColoringSetType(part,"my_color")
1271    or at runtime via the option
1272 $     -mat_coloring_type my_color
1273 
1274    $PETSC_ARCH occuring in pathname will be replaced with appropriate values.
1275 
1276 .keywords: matrix, Coloring, register
1277 
1278 .seealso: MatColoringRegisterDestroy(), MatColoringRegisterAll()
1279 M*/
1280 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1281 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,0)
1282 #else
1283 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,d)
1284 #endif
1285 
1286 extern PetscBool  MatColoringRegisterAllCalled;
1287 
1288 extern PetscErrorCode  MatColoringRegisterAll(const char[]);
1289 extern PetscErrorCode  MatColoringRegisterDestroy(void);
1290 extern PetscErrorCode  MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1291 
1292 /*S
1293      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1294         and coloring
1295 
1296    Level: beginner
1297 
1298   Concepts: coloring, sparse Jacobian, finite differences
1299 
1300 .seealso:  MatFDColoringCreate()
1301 S*/
1302 typedef struct _p_MatFDColoring* MatFDColoring;
1303 
1304 extern PetscErrorCode  MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1305 extern PetscErrorCode  MatFDColoringDestroy(MatFDColoring*);
1306 extern PetscErrorCode  MatFDColoringView(MatFDColoring,PetscViewer);
1307 extern PetscErrorCode  MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1308 extern PetscErrorCode  MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1309 extern PetscErrorCode  MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1310 extern PetscErrorCode  MatFDColoringSetFromOptions(MatFDColoring);
1311 extern PetscErrorCode  MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
1312 extern PetscErrorCode  MatFDColoringSetF(MatFDColoring,Vec);
1313 extern PetscErrorCode  MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1314 
1315 /*S
1316      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1317 
1318    Level: beginner
1319 
1320   Concepts: coloring, sparse matrix product
1321 
1322 .seealso:  MatTransposeColoringCreate()
1323 S*/
1324 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1325 
1326 extern PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1327 extern PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1328 extern PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1329 extern PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1330 
1331 /*
1332     These routines are for partitioning matrices: currently used only
1333   for adjacency matrix, MatCreateMPIAdj().
1334 */
1335 
1336 /*S
1337      MatPartitioning - Object for managing the partitioning of a matrix or graph
1338 
1339    Level: beginner
1340 
1341   Concepts: partitioning
1342 
1343 .seealso:  MatPartitioningCreate(), MatPartitioningType
1344 S*/
1345 typedef struct _p_MatPartitioning* MatPartitioning;
1346 
1347 /*J
1348     MatPartitioningType - String with the name of a PETSc matrix partitioning or the creation function
1349        with an optional dynamic library name, for example
1350        http://www.mcs.anl.gov/petsc/lib.a:partitioningcreate()
1351 
1352    Level: beginner
1353 dm
1354 .seealso: MatPartitioningCreate(), MatPartitioning
1355 J*/
1356 #define MatPartitioningType char*
1357 #define MATPARTITIONINGCURRENT  "current"
1358 #define MATPARTITIONINGSQUARE   "square"
1359 #define MATPARTITIONINGPARMETIS "parmetis"
1360 #define MATPARTITIONINGCHACO    "chaco"
1361 #define MATPARTITIONINGPARTY    "party"
1362 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1363 
1364 
1365 extern PetscErrorCode  MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1366 extern PetscErrorCode  MatPartitioningSetType(MatPartitioning,const MatPartitioningType);
1367 extern PetscErrorCode  MatPartitioningSetNParts(MatPartitioning,PetscInt);
1368 extern PetscErrorCode  MatPartitioningSetAdjacency(MatPartitioning,Mat);
1369 extern PetscErrorCode  MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1370 extern PetscErrorCode  MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1371 extern PetscErrorCode  MatPartitioningApply(MatPartitioning,IS*);
1372 extern PetscErrorCode  MatPartitioningDestroy(MatPartitioning*);
1373 
1374 extern PetscErrorCode  MatPartitioningRegister(const char[],const char[],const char[],PetscErrorCode (*)(MatPartitioning));
1375 
1376 /*MC
1377    MatPartitioningRegisterDynamic - Adds a new sparse matrix partitioning to the
1378    matrix package.
1379 
1380    Synopsis:
1381    PetscErrorCode MatPartitioningRegisterDynamic(const char *name_partitioning,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatPartitioning))
1382 
1383    Not Collective
1384 
1385    Input Parameters:
1386 +  sname - name of partitioning (for example MATPARTITIONINGCURRENT) or parmetis
1387 .  path - location of library where creation routine is
1388 .  name - name of function that creates the partitioning type, a string
1389 -  function - function pointer that creates the partitioning type
1390 
1391    Level: developer
1392 
1393    If dynamic libraries are used, then the fourth input argument (function)
1394    is ignored.
1395 
1396    Sample usage:
1397 .vb
1398    MatPartitioningRegisterDynamic("my_part",/home/username/my_lib/lib/libO/solaris/mylib.a,
1399                "MyPartCreate",MyPartCreate);
1400 .ve
1401 
1402    Then, your partitioner can be chosen with the procedural interface via
1403 $     MatPartitioningSetType(part,"my_part")
1404    or at runtime via the option
1405 $     -mat_partitioning_type my_part
1406 
1407    $PETSC_ARCH occuring in pathname will be replaced with appropriate values.
1408 
1409 .keywords: matrix, partitioning, register
1410 
1411 .seealso: MatPartitioningRegisterDestroy(), MatPartitioningRegisterAll()
1412 M*/
1413 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1414 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,0)
1415 #else
1416 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,d)
1417 #endif
1418 
1419 extern PetscBool  MatPartitioningRegisterAllCalled;
1420 
1421 extern PetscErrorCode  MatPartitioningRegisterAll(const char[]);
1422 extern PetscErrorCode  MatPartitioningRegisterDestroy(void);
1423 
1424 extern PetscErrorCode  MatPartitioningView(MatPartitioning,PetscViewer);
1425 extern PetscErrorCode  MatPartitioningSetFromOptions(MatPartitioning);
1426 extern PetscErrorCode  MatPartitioningGetType(MatPartitioning,const MatPartitioningType*);
1427 
1428 extern PetscErrorCode  MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1429 extern PetscErrorCode  MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1430 
1431 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1432 extern const char *MPChacoGlobalTypes[];
1433 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1434 extern const char *MPChacoLocalTypes[];
1435 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1436 extern const char *MPChacoEigenTypes[];
1437 
1438 extern PetscErrorCode  MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1439 extern PetscErrorCode  MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1440 extern PetscErrorCode  MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1441 extern PetscErrorCode  MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1442 extern PetscErrorCode  MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1443 extern PetscErrorCode  MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1444 extern PetscErrorCode  MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1445 extern PetscErrorCode  MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1446 extern PetscErrorCode  MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1447 extern PetscErrorCode  MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1448 extern PetscErrorCode  MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1449 
1450 #define MP_PARTY_OPT "opt"
1451 #define MP_PARTY_LIN "lin"
1452 #define MP_PARTY_SCA "sca"
1453 #define MP_PARTY_RAN "ran"
1454 #define MP_PARTY_GBF "gbf"
1455 #define MP_PARTY_GCF "gcf"
1456 #define MP_PARTY_BUB "bub"
1457 #define MP_PARTY_DEF "def"
1458 extern PetscErrorCode  MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1459 #define MP_PARTY_HELPFUL_SETS "hs"
1460 #define MP_PARTY_KERNIGHAN_LIN "kl"
1461 #define MP_PARTY_NONE "no"
1462 extern PetscErrorCode  MatPartitioningPartySetLocal(MatPartitioning,const char*);
1463 extern PetscErrorCode  MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1464 extern PetscErrorCode  MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1465 extern PetscErrorCode  MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1466 
1467 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1468 extern const char *MPPTScotchStrategyTypes[];
1469 
1470 extern PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1471 extern PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1472 extern PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1473 extern PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1474 
1475 extern PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1476 extern PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1477 
1478 /*
1479     If you add entries here you must also add them to finclude/petscmat.h
1480 */
1481 typedef enum { MATOP_SET_VALUES=0,
1482                MATOP_GET_ROW=1,
1483                MATOP_RESTORE_ROW=2,
1484                MATOP_MULT=3,
1485                MATOP_MULT_ADD=4,
1486                MATOP_MULT_TRANSPOSE=5,
1487                MATOP_MULT_TRANSPOSE_ADD=6,
1488                MATOP_SOLVE=7,
1489                MATOP_SOLVE_ADD=8,
1490                MATOP_SOLVE_TRANSPOSE=9,
1491                MATOP_SOLVE_TRANSPOSE_ADD=10,
1492                MATOP_LUFACTOR=11,
1493                MATOP_CHOLESKYFACTOR=12,
1494                MATOP_SOR=13,
1495                MATOP_TRANSPOSE=14,
1496                MATOP_GETINFO=15,
1497                MATOP_EQUAL=16,
1498                MATOP_GET_DIAGONAL=17,
1499                MATOP_DIAGONAL_SCALE=18,
1500                MATOP_NORM=19,
1501                MATOP_ASSEMBLY_BEGIN=20,
1502                MATOP_ASSEMBLY_END=21,
1503                MATOP_SET_OPTION=22,
1504                MATOP_ZERO_ENTRIES=23,
1505                MATOP_ZERO_ROWS=24,
1506                MATOP_LUFACTOR_SYMBOLIC=25,
1507                MATOP_LUFACTOR_NUMERIC=26,
1508                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1509                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1510                MATOP_SETUP_PREALLOCATION=29,
1511                MATOP_ILUFACTOR_SYMBOLIC=30,
1512                MATOP_ICCFACTOR_SYMBOLIC=31,
1513                MATOP_GET_ARRAY=32,
1514                MATOP_RESTORE_ARRAY=33,
1515                MATOP_DUPLICATE=34,
1516                MATOP_FORWARD_SOLVE=35,
1517                MATOP_BACKWARD_SOLVE=36,
1518                MATOP_ILUFACTOR=37,
1519                MATOP_ICCFACTOR=38,
1520                MATOP_AXPY=39,
1521                MATOP_GET_SUBMATRICES=40,
1522                MATOP_INCREASE_OVERLAP=41,
1523                MATOP_GET_VALUES=42,
1524                MATOP_COPY=43,
1525                MATOP_GET_ROW_MAX=44,
1526                MATOP_SCALE=45,
1527                MATOP_SHIFT=46,
1528                MATOP_DIAGONAL_SET=47,
1529                MATOP_ILUDT_FACTOR=48,
1530                MATOP_SET_BLOCK_SIZE=49,
1531                MATOP_GET_ROW_IJ=50,
1532                MATOP_RESTORE_ROW_IJ=51,
1533                MATOP_GET_COLUMN_IJ=52,
1534                MATOP_RESTORE_COLUMN_IJ=53,
1535                MATOP_FDCOLORING_CREATE=54,
1536                MATOP_COLORING_PATCH=55,
1537                MATOP_SET_UNFACTORED=56,
1538                MATOP_PERMUTE=57,
1539                MATOP_SET_VALUES_BLOCKED=58,
1540                MATOP_GET_SUBMATRIX=59,
1541                MATOP_DESTROY=60,
1542                MATOP_VIEW=61,
1543                MATOP_CONVERT_FROM=62,
1544                MATOP_USE_SCALED_FORM=63,
1545                MATOP_SCALE_SYSTEM=64,
1546                MATOP_UNSCALE_SYSTEM=65,
1547                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1548                MATOP_SET_VALUES_LOCAL=67,
1549                MATOP_ZERO_ROWS_LOCAL=68,
1550                MATOP_GET_ROW_MAX_ABS=69,
1551                MATOP_GET_ROW_MIN_ABS=70,
1552                MATOP_CONVERT=71,
1553                MATOP_SET_COLORING=72,
1554                MATOP_SET_VALUES_ADIC=73,
1555                MATOP_SET_VALUES_ADIFOR=74,
1556                MATOP_FD_COLORING_APPLY=75,
1557                MATOP_SET_FROM_OPTIONS=76,
1558                MATOP_MULT_CON=77,
1559                MATOP_MULT_TRANSPOSE_CON=78,
1560                MATOP_PERMUTE_SPARSIFY=79,
1561                MATOP_MULT_MULTIPLE=80,
1562                MATOP_SOLVE_MULTIPLE=81,
1563                MATOP_GET_INERTIA=82,
1564                MATOP_LOAD=83,
1565                MATOP_IS_SYMMETRIC=84,
1566                MATOP_IS_HERMITIAN=85,
1567                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1568                MATOP_DUMMY=87,
1569                MATOP_GET_VECS=88,
1570                MATOP_MAT_MULT=89,
1571                MATOP_MAT_MULT_SYMBOLIC=90,
1572                MATOP_MAT_MULT_NUMERIC=91,
1573                MATOP_PTAP=92,
1574                MATOP_PTAP_SYMBOLIC=93,
1575                MATOP_PTAP_NUMERIC=94,
1576                MATOP_MAT_MULTTRANSPOSE=95,
1577                MATOP_MAT_MULTTRANSPOSE_SYM=96,
1578                MATOP_MAT_MULTTRANSPOSE_NUM=97,
1579                MATOP_PTAP_SYMBOLIC_SEQAIJ=98,
1580                MATOP_PTAP_NUMERIC_SEQAIJ=99,
1581                MATOP_PTAP_SYMBOLIC_MPIAIJ=100,
1582                MATOP_PTAP_NUMERIC_MPIAIJ=101,
1583                MATOP_CONJUGATE=102,
1584                MATOP_SET_SIZES=103,
1585                MATOP_SET_VALUES_ROW=104,
1586                MATOP_REAL_PART=105,
1587                MATOP_IMAG_PART=106,
1588                MATOP_GET_ROW_UTRIANGULAR=107,
1589                MATOP_RESTORE_ROW_UTRIANGULAR=108,
1590                MATOP_MATSOLVE=109,
1591                MATOP_GET_REDUNDANTMATRIX=110,
1592                MATOP_GET_ROW_MIN=111,
1593                MATOP_GET_COLUMN_VEC=112,
1594                MATOP_MISSING_DIAGONAL=113,
1595                MATOP_MATGETSEQNONZEROSTRUCTURE=114,
1596                MATOP_CREATE=115,
1597                MATOP_GET_GHOSTS=116,
1598                MATOP_GET_LOCALSUBMATRIX=117,
1599                MATOP_RESTORE_LOCALSUBMATRIX=118,
1600                MATOP_MULT_DIAGONAL_BLOCK=119,
1601                MATOP_HERMITIANTRANSPOSE=120,
1602                MATOP_MULTHERMITIANTRANSPOSE=121,
1603                MATOP_MULTHERMITIANTRANSPOSEADD=122,
1604                MATOP_GETMULTIPROCBLOCK=123,
1605                MATOP_GETCOLUMNNORMS=125,
1606 	       MATOP_GET_SUBMATRICES_PARALLEL=128,
1607                MATOP_SET_VALUES_BATCH=129,
1608                MATOP_TRANSPOSEMATMULT=130,
1609                MATOP_TRANSPOSEMATMULT_SYMBOLIC=131,
1610                MATOP_TRANSPOSEMATMULT_NUMERIC=132,
1611                MATOP_TRANSPOSECOLORING_CREATE=133,
1612                MATOP_TRANSCOLORING_APPLY_SPTODEN=134,
1613                MATOP_TRANSCOLORING_APPLY_DENTOSP=135,
1614                MATOP_RARt=136,
1615                MATOP_RARt_SYMBOLIC=137,
1616                MATOP_RARt_NUMERIC=138
1617              } MatOperation;
1618 extern PetscErrorCode  MatHasOperation(Mat,MatOperation,PetscBool *);
1619 extern PetscErrorCode  MatShellSetOperation(Mat,MatOperation,void(*)(void));
1620 extern PetscErrorCode  MatShellGetOperation(Mat,MatOperation,void(**)(void));
1621 extern PetscErrorCode  MatShellSetContext(Mat,void*);
1622 
1623 /*
1624    Codes for matrices stored on disk. By default they are
1625    stored in a universal format. By changing the format with
1626    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1627    be stored in a way natural for the matrix, for example dense matrices
1628    would be stored as dense. Matrices stored this way may only be
1629    read into matrices of the same type.
1630 */
1631 #define MATRIX_BINARY_FORMAT_DENSE -1
1632 
1633 extern PetscErrorCode  MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1634 extern PetscErrorCode  MatISGetLocalMat(Mat,Mat*);
1635 
1636 /*S
1637      MatNullSpace - Object that removes a null space from a vector, i.e.
1638          orthogonalizes the vector to a subsapce
1639 
1640    Level: advanced
1641 
1642   Concepts: matrix; linear operator, null space
1643 
1644   Users manual sections:
1645 .   sec_singular
1646 
1647 .seealso:  MatNullSpaceCreate()
1648 S*/
1649 typedef struct _p_MatNullSpace* MatNullSpace;
1650 
1651 extern PetscErrorCode  MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1652 extern PetscErrorCode  MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1653 extern PetscErrorCode  MatNullSpaceDestroy(MatNullSpace*);
1654 extern PetscErrorCode  MatNullSpaceRemove(MatNullSpace,Vec,Vec*);
1655 extern PetscErrorCode  MatGetNullSpace(Mat, MatNullSpace *);
1656 extern PetscErrorCode  MatSetNullSpace(Mat,MatNullSpace);
1657 extern PetscErrorCode  MatSetNearNullSpace(Mat,MatNullSpace);
1658 extern PetscErrorCode  MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1659 extern PetscErrorCode  MatNullSpaceView(MatNullSpace,PetscViewer);
1660 
1661 extern PetscErrorCode  MatReorderingSeqSBAIJ(Mat,IS);
1662 extern PetscErrorCode  MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1663 extern PetscErrorCode  MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1664 extern PetscErrorCode  MatSeqBAIJInvertBlockDiagonal(Mat);
1665 
1666 extern PetscErrorCode  MatCreateMAIJ(Mat,PetscInt,Mat*);
1667 extern PetscErrorCode  MatMAIJRedimension(Mat,PetscInt,Mat*);
1668 extern PetscErrorCode  MatMAIJGetAIJ(Mat,Mat*);
1669 
1670 extern PetscErrorCode  MatComputeExplicitOperator(Mat,Mat*);
1671 
1672 extern PetscErrorCode  MatDiagonalScaleLocal(Mat,Vec);
1673 
1674 extern PetscErrorCode  MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1675 extern PetscErrorCode  MatMFFDSetBase(Mat,Vec,Vec);
1676 extern PetscErrorCode  MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1677 extern PetscErrorCode  MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1678 extern PetscErrorCode  MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1679 extern PetscErrorCode  MatMFFDAddNullSpace(Mat,MatNullSpace);
1680 extern PetscErrorCode  MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1681 extern PetscErrorCode  MatMFFDResetHHistory(Mat);
1682 extern PetscErrorCode  MatMFFDSetFunctionError(Mat,PetscReal);
1683 extern PetscErrorCode  MatMFFDSetPeriod(Mat,PetscInt);
1684 extern PetscErrorCode  MatMFFDGetH(Mat,PetscScalar *);
1685 extern PetscErrorCode  MatMFFDSetOptionsPrefix(Mat,const char[]);
1686 extern PetscErrorCode  MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1687 extern PetscErrorCode  MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1688 
1689 /*S
1690     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1691               Jacobian vector products
1692 
1693     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1694 
1695            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1696 
1697     Level: developer
1698 
1699 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1700 S*/
1701 typedef struct _p_MatMFFD* MatMFFD;
1702 
1703 /*J
1704     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1705 
1706    Level: beginner
1707 
1708 .seealso: MatMFFDSetType(), MatMFFDRegister()
1709 J*/
1710 #define MatMFFDType char*
1711 #define MATMFFD_DS  "ds"
1712 #define MATMFFD_WP  "wp"
1713 
1714 extern PetscErrorCode  MatMFFDSetType(Mat,const MatMFFDType);
1715 extern PetscErrorCode  MatMFFDRegister(const char[],const char[],const char[],PetscErrorCode (*)(MatMFFD));
1716 
1717 /*MC
1718    MatMFFDRegisterDynamic - Adds a method to the MatMFFD registry.
1719 
1720    Synopsis:
1721    PetscErrorCode MatMFFDRegisterDynamic(const char *name_solver,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatMFFD))
1722 
1723    Not Collective
1724 
1725    Input Parameters:
1726 +  name_solver - name of a new user-defined compute-h module
1727 .  path - path (either absolute or relative) the library containing this solver
1728 .  name_create - name of routine to create method context
1729 -  routine_create - routine to create method context
1730 
1731    Level: developer
1732 
1733    Notes:
1734    MatMFFDRegisterDynamic() may be called multiple times to add several user-defined solvers.
1735 
1736    If dynamic libraries are used, then the fourth input argument (routine_create)
1737    is ignored.
1738 
1739    Sample usage:
1740 .vb
1741    MatMFFDRegisterDynamic("my_h",/home/username/my_lib/lib/libO/solaris/mylib.a,
1742                "MyHCreate",MyHCreate);
1743 .ve
1744 
1745    Then, your solver can be chosen with the procedural interface via
1746 $     MatMFFDSetType(mfctx,"my_h")
1747    or at runtime via the option
1748 $     -snes_mf_type my_h
1749 
1750 .keywords: MatMFFD, register
1751 
1752 .seealso: MatMFFDRegisterAll(), MatMFFDRegisterDestroy()
1753 M*/
1754 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1755 #define MatMFFDRegisterDynamic(a,b,c,d) MatMFFDRegister(a,b,c,0)
1756 #else
1757 #define MatMFFDRegisterDynamic(a,b,c,d) MatMFFDRegister(a,b,c,d)
1758 #endif
1759 
1760 extern PetscErrorCode  MatMFFDRegisterAll(const char[]);
1761 extern PetscErrorCode  MatMFFDRegisterDestroy(void);
1762 extern PetscErrorCode  MatMFFDDSSetUmin(Mat,PetscReal);
1763 extern PetscErrorCode  MatMFFDWPSetComputeNormU(Mat,PetscBool );
1764 
1765 
1766 extern PetscErrorCode  PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1767 extern PetscErrorCode  PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1768 
1769 /*
1770    PETSc interface to MUMPS
1771 */
1772 #ifdef PETSC_HAVE_MUMPS
1773 extern PetscErrorCode  MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1774 #endif
1775 
1776 /*
1777    PETSc interface to SUPERLU
1778 */
1779 #ifdef PETSC_HAVE_SUPERLU
1780 extern PetscErrorCode  MatSuperluSetILUDropTol(Mat,PetscReal);
1781 #endif
1782 
1783 #if defined(PETSC_HAVE_CUSP)
1784 extern PetscErrorCode  MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1785 extern PetscErrorCode  MatCreateMPIAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1786 #endif
1787 
1788 /*
1789    PETSc interface to FFTW
1790 */
1791 #if defined(PETSC_HAVE_FFTW)
1792 extern PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1793 extern PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1794 extern PetscErrorCode MatGetVecsFFTW(Mat,Vec*,Vec*,Vec*);
1795 #endif
1796 
1797 extern PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1798 extern PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1799 extern PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1800 extern PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1801 extern PetscErrorCode MatNestSetVecType(Mat,const VecType);
1802 extern PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1803 extern PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1804 
1805 /*
1806  MatIJ:
1807  An unweighted directed pseudograph
1808  An interpretation of this matrix as a (pseudo)graph allows us to define additional operations on it:
1809  A MatIJ can act on sparse arrays: arrays of indices, or index arrays of integers, scalars, or integer-scalar pairs
1810  by mapping the indices to the indices connected to them by the (pseudo)graph ed
1811  */
1812 typedef enum {MATIJ_LOCAL, MATIJ_GLOBAL} MatIJIndexType;
1813 extern  PetscErrorCode MatIJSetMultivalued(Mat, PetscBool);
1814 extern  PetscErrorCode MatIJGetMultivalued(Mat, PetscBool*);
1815 extern  PetscErrorCode MatIJSetEdges(Mat, PetscInt, const PetscInt*, const PetscInt*);
1816 extern  PetscErrorCode MatIJGetEdges(Mat, PetscInt *, PetscInt **, PetscInt **);
1817 extern  PetscErrorCode MatIJSetEdgesIS(Mat, IS, IS);
1818 extern  PetscErrorCode MatIJGetEdgesIS(Mat, IS*, IS*);
1819 extern  PetscErrorCode MatIJGetRowSizes(Mat, MatIJIndexType, PetscInt, const PetscInt *, PetscInt **);
1820 extern  PetscErrorCode MatIJGetMinRowSize(Mat, PetscInt *);
1821 extern  PetscErrorCode MatIJGetMaxRowSize(Mat, PetscInt *);
1822 extern  PetscErrorCode MatIJGetSupport(Mat,  PetscInt *, PetscInt **);
1823 extern  PetscErrorCode MatIJGetSupportIS(Mat, IS *);
1824 extern  PetscErrorCode MatIJGetImage(Mat, PetscInt*, PetscInt**);
1825 extern  PetscErrorCode MatIJGetImageIS(Mat, IS *);
1826 extern  PetscErrorCode MatIJGetSupportSize(Mat, PetscInt *);
1827 extern  PetscErrorCode MatIJGetImageSize(Mat, PetscInt *);
1828 
1829 extern  PetscErrorCode MatIJBinRenumber(Mat, Mat*);
1830 
1831 extern  PetscErrorCode MatIJMap(Mat, MatIJIndexType, PetscInt,const PetscInt*,const PetscInt*,const PetscScalar*, MatIJIndexType,PetscInt*,PetscInt**,PetscInt**,PetscScalar**,PetscInt**);
1832 extern  PetscErrorCode MatIJBin(Mat, MatIJIndexType, PetscInt,const PetscInt*,const PetscInt*,const PetscScalar*,PetscInt*,PetscInt**,PetscInt**,PetscScalar**,PetscInt**);
1833 extern  PetscErrorCode MatIJBinMap(Mat,Mat, MatIJIndexType,PetscInt,const PetscInt*,const PetscInt*,const PetscScalar*,MatIJIndexType,PetscInt*,PetscInt**,PetscInt**,PetscScalar**,PetscInt**);
1834 
1835 PETSC_EXTERN_CXX_END
1836 #endif
1837