xref: /petsc/include/petscmat.h (revision 7b6bb2c608b6fc6714ef38fda02c2dbb91c82665)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #ifndef __PETSCMAT_H
5 #define __PETSCMAT_H
6 #include "petscvec.h"
7 PETSC_EXTERN_CXX_BEGIN
8 
9 /*S
10      Mat - Abstract PETSc matrix object
11 
12    Level: beginner
13 
14   Concepts: matrix; linear operator
15 
16 .seealso:  MatCreate(), MatType, MatSetType()
17 S*/
18 typedef struct _p_Mat*           Mat;
19 
20 /*E
21     MatType - String with the name of a PETSc matrix or the creation function
22        with an optional dynamic library name, for example
23        http://www.mcs.anl.gov/petsc/lib.a:mymatcreate()
24 
25    Level: beginner
26 
27 .seealso: MatSetType(), Mat, MatSolverPackage
28 E*/
29 #define MatType char*
30 #define MATSAME            "same"
31 #define MATMAIJ            "maij"
32 #define MATSEQMAIJ           "seqmaij"
33 #define MATMPIMAIJ           "mpimaij"
34 #define MATIS              "is"
35 #define MATAIJ             "aij"
36 #define MATSEQAIJ            "seqaij"
37 #define MATMPIAIJ            "mpiaij"
38 #define MATAIJCRL              "aijcrl"
39 #define MATSEQAIJCRL             "seqaijcrl"
40 #define MATMPIAIJCRL             "mpiaijcrl"
41 #define MATAIJCUSP             "aijcusp"
42 #define MATSEQAIJCUSP            "seqaijcusp"
43 #define MATMPIAIJCUSP            "mpiaijcusp"
44 #define MATAIJPERM             "aijperm"
45 #define MATSEQAIJPERM            "seqaijperm"
46 #define MATMPIAIJPERM            "mpiaijperm"
47 #define MATSHELL           "shell"
48 #define MATDENSE           "dense"
49 #define MATSEQDENSE          "seqdense"
50 #define MATMPIDENSE          "mpidense"
51 #define MATBAIJ            "baij"
52 #define MATSEQBAIJ           "seqbaij"
53 #define MATMPIBAIJ           "mpibaij"
54 #define MATMPIADJ          "mpiadj"
55 #define MATSBAIJ           "sbaij"
56 #define MATSEQSBAIJ          "seqsbaij"
57 #define MATMPISBAIJ          "mpisbaij"
58 
59 #define MATSEQBSTRM        "seqbstrm"
60 #define MATMPIBSTRM        "mpibstrm"
61 #define MATBSTRM           "bstrm"
62 #define MATSEQSBSTRM       "seqsbstrm"
63 #define MATMPISBSTRM       "mpisbstrm"
64 #define MATSBSTRM          "sbstrm"
65 
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 
85 /*E
86     MatSolverPackage - String with the name of a PETSc matrix solver type.
87 
88     For example: "petsc" indicates what PETSc provides, "superlu" indicates either
89        SuperLU or SuperLU_Dist etc.
90 
91 
92    Level: beginner
93 
94 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
95 E*/
96 #define MatSolverPackage char*
97 #define MATSOLVERSPOOLES      "spooles"
98 #define MATSOLVERSUPERLU      "superlu"
99 #define MATSOLVERSUPERLU_DIST "superlu_dist"
100 #define MATSOLVERUMFPACK      "umfpack"
101 #define MATSOLVERCHOLMOD      "cholmod"
102 #define MATSOLVERESSL         "essl"
103 #define MATSOLVERLUSOL        "lusol"
104 #define MATSOLVERMUMPS        "mumps"
105 #define MATSOLVERPASTIX       "pastix"
106 #define MATSOLVERDSCPACK      "dscpack"
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_PARTITIONING_CLASSID;
137 extern PetscClassId  MAT_NULLSPACE_CLASSID;
138 extern PetscClassId  MATMFFD_CLASSID;
139 
140 /*E
141     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
142      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
143      that the input matrix is to be replaced with the converted matrix.
144 
145     Level: beginner
146 
147    Any additions/changes here MUST also be made in include/finclude/petscmat.h
148 
149 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
150 E*/
151 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX} MatReuse;
152 
153 /*E
154     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
155      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
156 
157     Level: beginner
158 
159 .seealso: MatGetSeqNonzerostructure()
160 E*/
161 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
162 
163 extern PetscErrorCode  MatInitializePackage(const char[]);
164 
165 extern PetscErrorCode  MatCreate(MPI_Comm,Mat*);
166 PetscPolymorphicFunction(MatCreate,(MPI_Comm comm),(comm,&A),Mat,A)
167 PetscPolymorphicFunction(MatCreate,(),(PETSC_COMM_WORLD,&A),Mat,A)
168 extern PetscErrorCode  MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
169 extern PetscErrorCode  MatSetType(Mat,const MatType);
170 extern PetscErrorCode  MatSetFromOptions(Mat);
171 extern PetscErrorCode  MatSetUpPreallocation(Mat);
172 extern PetscErrorCode  MatRegisterAll(const char[]);
173 extern PetscErrorCode  MatRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat));
174 extern PetscErrorCode  MatRegisterBaseName(const char[],const char[],const char[]);
175 extern PetscErrorCode  MatSetOptionsPrefix(Mat,const char[]);
176 extern PetscErrorCode  MatAppendOptionsPrefix(Mat,const char[]);
177 extern PetscErrorCode  MatGetOptionsPrefix(Mat,const char*[]);
178 
179 /*MC
180    MatRegisterDynamic - Adds a new matrix type
181 
182    Synopsis:
183    PetscErrorCode MatRegisterDynamic(const char *name,const char *path,const char *name_create,PetscErrorCode (*routine_create)(Mat))
184 
185    Not Collective
186 
187    Input Parameters:
188 +  name - name of a new user-defined matrix type
189 .  path - path (either absolute or relative) the library containing this solver
190 .  name_create - name of routine to create method context
191 -  routine_create - routine to create method context
192 
193    Notes:
194    MatRegisterDynamic() may be called multiple times to add several user-defined solvers.
195 
196    If dynamic libraries are used, then the fourth input argument (routine_create)
197    is ignored.
198 
199    Sample usage:
200 .vb
201    MatRegisterDynamic("my_mat",/home/username/my_lib/lib/libO/solaris/mylib.a,
202                "MyMatCreate",MyMatCreate);
203 .ve
204 
205    Then, your solver can be chosen with the procedural interface via
206 $     MatSetType(Mat,"my_mat")
207    or at runtime via the option
208 $     -mat_type my_mat
209 
210    Level: advanced
211 
212    Notes: ${PETSC_ARCH} occuring in pathname will be replaced with appropriate values.
213          If your function is not being put into a shared library then use VecRegister() instead
214 
215 .keywords: Mat, register
216 
217 .seealso: MatRegisterAll(), MatRegisterDestroy()
218 
219 M*/
220 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
221 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,0)
222 #else
223 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,d)
224 #endif
225 
226 extern PetscBool  MatRegisterAllCalled;
227 extern PetscFList MatList;
228 extern PetscFList MatColoringList;
229 extern PetscFList MatPartitioningList;
230 
231 /*E
232     MatStructure - Indicates if the matrix has the same nonzero structure
233 
234     Level: beginner
235 
236    Any additions/changes here MUST also be made in include/finclude/petscmat.h
237 
238 .seealso: MatCopy(), KSPSetOperators(), PCSetOperators()
239 E*/
240 typedef enum {SAME_NONZERO_PATTERN,DIFFERENT_NONZERO_PATTERN,SAME_PRECONDITIONER,SUBSET_NONZERO_PATTERN} MatStructure;
241 
242 extern PetscErrorCode  MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
243 extern PetscErrorCode  MatCreateMPIDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
244 extern PetscErrorCode  MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
245 PetscPolymorphicFunction(MatCreateSeqAIJ,(PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[]),(PETSC_COMM_SELF,m,n,nz,nnz,&A),Mat,A)
246 PetscPolymorphicFunction(MatCreateSeqAIJ,(PetscInt m,PetscInt n,PetscInt nz),(PETSC_COMM_SELF,m,n,nz,PETSC_NULL,&A),Mat,A)
247 PetscPolymorphicFunction(MatCreateSeqAIJ,(PetscInt m,PetscInt n,const PetscInt nnz[]),(PETSC_COMM_SELF,m,n,0,nnz,&A),Mat,A)
248 PetscPolymorphicFunction(MatCreateSeqAIJ,(PetscInt m,PetscInt n),(PETSC_COMM_SELF,m,n,0,PETSC_NULL,&A),Mat,A)
249 PetscPolymorphicSubroutine(MatCreateSeqAIJ,(PetscInt m,PetscInt n,PetscInt nz,Mat *A),(PETSC_COMM_SELF,m,n,nz,PETSC_NULL,A))
250 PetscPolymorphicSubroutine(MatCreateSeqAIJ,(PetscInt m,PetscInt n,const PetscInt nnz[],Mat *A),(PETSC_COMM_SELF,m,n,0,nnz,A))
251 PetscPolymorphicSubroutine(MatCreateSeqAIJ,(PetscInt m,PetscInt n,Mat *A),(PETSC_COMM_SELF,m,n,0,PETSC_NULL,A))
252 extern PetscErrorCode  MatCreateMPIAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
253 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)
254 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)
255 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)
256 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)
257 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))
258 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))
259 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))
260 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)
261 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)
262 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)
263 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)
264 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))
265 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))
266 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))
267 extern PetscErrorCode  MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
268 extern PetscErrorCode  MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
269 
270 extern PetscErrorCode  MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
271 PetscPolymorphicFunction(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[]),(PETSC_COMM_SELF,bs,m,n,nz,nnz,&A),Mat,A)
272 PetscPolymorphicFunction(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz),(PETSC_COMM_SELF,bs,m,n,nz,PETSC_NULL,&A),Mat,A)
273 PetscPolymorphicFunction(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,const PetscInt nnz[]),(PETSC_COMM_SELF,bs,m,n,0,nnz,&A),Mat,A)
274 PetscPolymorphicFunction(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n),(PETSC_COMM_SELF,bs,m,n,0,PETSC_NULL,&A),Mat,A)
275 PetscPolymorphicSubroutine(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,Mat *A),(PETSC_COMM_SELF,bs,m,n,nz,PETSC_NULL,A))
276 PetscPolymorphicSubroutine(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,const PetscInt nnz[],Mat *A),(PETSC_COMM_SELF,bs,m,n,0,nnz,A))
277 PetscPolymorphicSubroutine(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,Mat *A),(PETSC_COMM_SELF,bs,m,n,0,PETSC_NULL,A))
278 extern PetscErrorCode  MatCreateMPIBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
279 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)
280 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)
281 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)
282 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)
283 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))
284 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))
285 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))
286 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)
287 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)
288 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)
289 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)
290 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))
291 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))
292 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))
293 extern PetscErrorCode  MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
294 
295 extern PetscErrorCode  MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
296 extern PetscErrorCode  MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
297 PetscPolymorphicFunction(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[]),(PETSC_COMM_SELF,bs,m,n,nz,nnz,&A),Mat,A)
298 PetscPolymorphicFunction(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz),(PETSC_COMM_SELF,bs,m,n,nz,PETSC_NULL,&A),Mat,A)
299 PetscPolymorphicFunction(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,const PetscInt nnz[]),(PETSC_COMM_SELF,bs,m,n,0,nnz,&A),Mat,A)
300 PetscPolymorphicFunction(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n),(PETSC_COMM_SELF,bs,m,n,0,PETSC_NULL,&A),Mat,A)
301 PetscPolymorphicSubroutine(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,Mat *A),(PETSC_COMM_SELF,bs,m,n,nz,PETSC_NULL,A))
302 PetscPolymorphicSubroutine(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,const PetscInt nnz[],Mat *A),(PETSC_COMM_SELF,bs,m,n,0,nnz,A))
303 PetscPolymorphicSubroutine(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,Mat *A),(PETSC_COMM_SELF,bs,m,n,0,PETSC_NULL,A))
304 
305 extern PetscErrorCode  MatCreateMPISBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
306 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)
307 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)
308 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)
309 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)
310 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))
311 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))
312 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))
313 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)
314 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)
315 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)
316 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)
317 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))
318 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))
319 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))
320 extern PetscErrorCode  MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
321 extern PetscErrorCode  MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
322 
323 extern PetscErrorCode  MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
324 PetscPolymorphicFunction(MatCreateShell,(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N,void *ctx),(comm,m,n,M,N,ctx,&A),Mat,A)
325 PetscPolymorphicFunction(MatCreateShell,(PetscInt m,PetscInt n,PetscInt M,PetscInt N,void *ctx),(PETSC_COMM_WORLD,m,n,M,N,ctx,&A),Mat,A)
326 extern PetscErrorCode  MatCreateAdic(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,void (*)(void),Mat*);
327 extern PetscErrorCode  MatCreateNormal(Mat,Mat*);
328 PetscPolymorphicFunction(MatCreateNormal,(Mat mat),(mat,&A),Mat,A)
329 extern PetscErrorCode  MatCreateLRC(Mat,Mat,Mat,Mat*);
330 extern PetscErrorCode  MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,Mat*);
331 extern PetscErrorCode  MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
332 extern PetscErrorCode  MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
333 
334 extern PetscErrorCode  MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
335 extern PetscErrorCode  MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
336 extern PetscErrorCode  MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
337 extern PetscErrorCode  MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
338 
339 extern PetscErrorCode  MatCreateScatter(MPI_Comm,VecScatter,Mat*);
340 extern PetscErrorCode  MatScatterSetVecScatter(Mat,VecScatter);
341 extern PetscErrorCode  MatScatterGetVecScatter(Mat,VecScatter*);
342 extern PetscErrorCode  MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
343 extern PetscErrorCode  MatCompositeAddMat(Mat,Mat);
344 extern PetscErrorCode  MatCompositeMerge(Mat);
345 extern PetscErrorCode  MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
346 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
347 extern PetscErrorCode  MatCompositeSetType(Mat,MatCompositeType);
348 
349 extern PetscErrorCode  MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],const MatType,Mat*);
350 extern PetscErrorCode  MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
351 
352 extern PetscErrorCode  MatCreateTranspose(Mat,Mat*);
353 extern PetscErrorCode  MatCreateSubMatrix(Mat,IS,IS,Mat*);
354 extern PetscErrorCode  MatSubMatrixUpdate(Mat,Mat,IS,IS);
355 extern PetscErrorCode  MatCreateLocalRef(Mat,IS,IS,Mat*);
356 
357 extern PetscErrorCode  MatPythonSetType(Mat,const char[]);
358 
359 extern PetscErrorCode  MatSetUp(Mat);
360 extern PetscErrorCode  MatDestroy(Mat*);
361 
362 extern PetscErrorCode  MatConjugate(Mat);
363 extern PetscErrorCode  MatRealPart(Mat);
364 extern PetscErrorCode  MatImaginaryPart(Mat);
365 extern PetscErrorCode  MatGetDiagonalBlock(Mat,Mat*);
366 extern PetscErrorCode  MatGetTrace(Mat,PetscScalar*);
367 
368 /* ------------------------------------------------------------*/
369 extern PetscErrorCode  MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
370 extern PetscErrorCode  MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
371 extern PetscErrorCode  MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
372 extern PetscErrorCode  MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
373 
374 /*S
375      MatStencil - Data structure (C struct) for storing information about a single row or
376         column of a matrix as index on an associated grid.
377 
378    Level: beginner
379 
380   Concepts: matrix; linear operator
381 
382 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockStencil()
383 S*/
384 typedef struct {
385   PetscInt k,j,i,c;
386 } MatStencil;
387 
388 extern PetscErrorCode  MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
389 extern PetscErrorCode  MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
390 extern PetscErrorCode  MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
391 
392 extern PetscErrorCode  MatSetColoring(Mat,ISColoring);
393 extern PetscErrorCode  MatSetValuesAdic(Mat,void*);
394 extern PetscErrorCode  MatSetValuesAdifor(Mat,PetscInt,void*);
395 
396 /*E
397     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
398      to continue to add values to it
399 
400     Level: beginner
401 
402 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
403 E*/
404 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
405 extern PetscErrorCode  MatAssemblyBegin(Mat,MatAssemblyType);
406 extern PetscErrorCode  MatAssemblyEnd(Mat,MatAssemblyType);
407 extern PetscErrorCode  MatAssembled(Mat,PetscBool *);
408 
409 
410 
411 /*E
412     MatOption - Options that may be set for a matrix and its behavior or storage
413 
414     Level: beginner
415 
416    Any additions/changes here MUST also be made in include/finclude/petscmat.h
417 
418 .seealso: MatSetOption()
419 E*/
420 typedef enum {MAT_ROW_ORIENTED,MAT_NEW_NONZERO_LOCATIONS,
421               MAT_SYMMETRIC,
422               MAT_STRUCTURALLY_SYMMETRIC,
423               MAT_NEW_DIAGONALS,MAT_IGNORE_OFF_PROC_ENTRIES,
424               MAT_NEW_NONZERO_LOCATION_ERR,
425               MAT_NEW_NONZERO_ALLOCATION_ERR,MAT_USE_HASH_TABLE,
426               MAT_KEEP_NONZERO_PATTERN,MAT_IGNORE_ZERO_ENTRIES,
427               MAT_USE_INODES,
428               MAT_HERMITIAN,
429               MAT_SYMMETRY_ETERNAL,
430               MAT_CHECK_COMPRESSED_ROW,
431               MAT_IGNORE_LOWER_TRIANGULAR,MAT_ERROR_LOWER_TRIANGULAR,
432               MAT_GETROW_UPPERTRIANGULAR,MAT_UNUSED_NONZERO_LOCATION_ERR,
433               MAT_SPD,MAT_NO_OFF_PROC_ENTRIES,MAT_NO_OFF_PROC_ZERO_ROWS,
434               NUM_MAT_OPTIONS} MatOption;
435 extern const char *MatOptions[];
436 extern PetscErrorCode  MatSetOption(Mat,MatOption,PetscBool );
437 extern PetscErrorCode  MatGetType(Mat,const MatType*);
438 PetscPolymorphicFunction(MatGetType,(Mat mat),(mat,&t),const MatType,t)
439 
440 extern PetscErrorCode  MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
441 extern PetscErrorCode  MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
442 extern PetscErrorCode  MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
443 extern PetscErrorCode  MatGetRowUpperTriangular(Mat);
444 extern PetscErrorCode  MatRestoreRowUpperTriangular(Mat);
445 extern PetscErrorCode  MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
446 extern PetscErrorCode  MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
447 extern PetscErrorCode  MatGetColumnVector(Mat,Vec,PetscInt);
448 extern PetscErrorCode  MatGetArray(Mat,PetscScalar *[]);
449 PetscPolymorphicFunction(MatGetArray,(Mat mat),(mat,&a),PetscScalar*,a)
450 extern PetscErrorCode  MatRestoreArray(Mat,PetscScalar *[]);
451 extern PetscErrorCode  MatGetBlockSize(Mat,PetscInt *);
452 PetscPolymorphicFunction(MatGetBlockSize,(Mat mat),(mat,&a),PetscInt,a)
453 extern PetscErrorCode  MatSetBlockSize(Mat,PetscInt);
454 
455 
456 extern PetscErrorCode  MatMult(Mat,Vec,Vec);
457 extern PetscErrorCode  MatMultDiagonalBlock(Mat,Vec,Vec);
458 extern PetscErrorCode  MatMultAdd(Mat,Vec,Vec,Vec);
459 PetscPolymorphicSubroutine(MatMultAdd,(Mat A,Vec x,Vec y),(A,x,y,y))
460 extern PetscErrorCode  MatMultTranspose(Mat,Vec,Vec);
461 extern PetscErrorCode  MatMultHermitianTranspose(Mat,Vec,Vec);
462 extern PetscErrorCode  MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
463 PetscPolymorphicFunction(MatIsTranspose,(Mat A,Mat B,PetscReal tol),(A,B,tol,&t),PetscBool ,t)
464 PetscPolymorphicFunction(MatIsTranspose,(Mat A,Mat B),(A,B,0,&t),PetscBool ,t)
465 extern PetscErrorCode  MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
466 extern PetscErrorCode  MatMultTransposeAdd(Mat,Vec,Vec,Vec);
467 extern PetscErrorCode  MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
468 PetscPolymorphicSubroutine(MatMultTransposeAdd,(Mat A,Vec x,Vec y),(A,x,y,y))
469 extern PetscErrorCode  MatMultConstrained(Mat,Vec,Vec);
470 extern PetscErrorCode  MatMultTransposeConstrained(Mat,Vec,Vec);
471 extern PetscErrorCode  MatMatSolve(Mat,Mat,Mat);
472 
473 /*E
474     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
475   its numerical values copied over or just its nonzero structure.
476 
477     Level: beginner
478 
479    Any additions/changes here MUST also be made in include/finclude/petscmat.h
480 
481 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
482 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
483 $                               have several matrices with the same nonzero pattern.
484 
485 .seealso: MatDuplicate()
486 E*/
487 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
488 
489 extern PetscErrorCode  MatConvert(Mat,const MatType,MatReuse,Mat*);
490 PetscPolymorphicFunction(MatConvert,(Mat A,const MatType t),(A,t,MAT_INITIAL_MATRIX,&a),Mat,a)
491 extern PetscErrorCode  MatDuplicate(Mat,MatDuplicateOption,Mat*);
492 PetscPolymorphicFunction(MatDuplicate,(Mat A,MatDuplicateOption o),(A,o,&a),Mat,a)
493 PetscPolymorphicFunction(MatDuplicate,(Mat A),(A,MAT_COPY_VALUES,&a),Mat,a)
494 
495 
496 extern PetscErrorCode  MatCopy(Mat,Mat,MatStructure);
497 extern PetscErrorCode  MatView(Mat,PetscViewer);
498 extern PetscErrorCode  MatIsSymmetric(Mat,PetscReal,PetscBool *);
499 PetscPolymorphicFunction(MatIsSymmetric,(Mat A,PetscReal tol),(A,tol,&t),PetscBool ,t)
500 PetscPolymorphicFunction(MatIsSymmetric,(Mat A),(A,0,&t),PetscBool ,t)
501 extern PetscErrorCode  MatIsStructurallySymmetric(Mat,PetscBool *);
502 PetscPolymorphicFunction(MatIsStructurallySymmetric,(Mat A),(A,&t),PetscBool ,t)
503 extern PetscErrorCode  MatIsHermitian(Mat,PetscReal,PetscBool *);
504 PetscPolymorphicFunction(MatIsHermitian,(Mat A),(A,0,&t),PetscBool ,t)
505 extern PetscErrorCode  MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
506 extern PetscErrorCode  MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
507 extern PetscErrorCode  MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
508 extern PetscErrorCode  MatLoad(Mat, PetscViewer);
509 
510 extern PetscErrorCode  MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,PetscInt *[],PetscInt *[],PetscBool  *);
511 extern PetscErrorCode  MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,PetscInt *[],PetscInt *[],PetscBool  *);
512 extern PetscErrorCode  MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,PetscInt *[],PetscInt *[],PetscBool  *);
513 extern PetscErrorCode  MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,PetscInt *[],PetscInt *[],PetscBool  *);
514 
515 /*S
516      MatInfo - Context of matrix information, used with MatGetInfo()
517 
518    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
519 
520    Level: intermediate
521 
522   Concepts: matrix^nonzero information
523 
524 .seealso:  MatGetInfo(), MatInfoType
525 S*/
526 typedef struct {
527   PetscLogDouble block_size;                         /* block size */
528   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
529   PetscLogDouble memory;                             /* memory allocated */
530   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
531   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
532   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
533   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
534 } MatInfo;
535 
536 /*E
537     MatInfoType - Indicates if you want information about the local part of the matrix,
538      the entire parallel matrix or the maximum over all the local parts.
539 
540     Level: beginner
541 
542    Any additions/changes here MUST also be made in include/finclude/petscmat.h
543 
544 .seealso: MatGetInfo(), MatInfo
545 E*/
546 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
547 extern PetscErrorCode  MatGetInfo(Mat,MatInfoType,MatInfo*);
548 extern PetscErrorCode  MatGetDiagonal(Mat,Vec);
549 extern PetscErrorCode  MatGetRowMax(Mat,Vec,PetscInt[]);
550 extern PetscErrorCode  MatGetRowMin(Mat,Vec,PetscInt[]);
551 extern PetscErrorCode  MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
552 extern PetscErrorCode  MatGetRowMinAbs(Mat,Vec,PetscInt[]);
553 extern PetscErrorCode  MatGetRowSum(Mat,Vec);
554 extern PetscErrorCode  MatTranspose(Mat,MatReuse,Mat*);
555 PetscPolymorphicFunction(MatTranspose,(Mat A),(A,MAT_INITIAL_MATRIX,&t),Mat,t)
556 extern PetscErrorCode  MatHermitianTranspose(Mat,MatReuse,Mat*);
557 extern PetscErrorCode  MatPermute(Mat,IS,IS,Mat *);
558 PetscPolymorphicFunction(MatPermute,(Mat A,IS is1,IS is2),(A,is1,is2,&t),Mat,t)
559 extern PetscErrorCode  MatDiagonalScale(Mat,Vec,Vec);
560 extern PetscErrorCode  MatDiagonalSet(Mat,Vec,InsertMode);
561 extern PetscErrorCode  MatEqual(Mat,Mat,PetscBool *);
562 PetscPolymorphicFunction(MatEqual,(Mat A,Mat B),(A,B,&t),PetscBool ,t)
563 extern PetscErrorCode  MatMultEqual(Mat,Mat,PetscInt,PetscBool *);
564 extern PetscErrorCode  MatMultAddEqual(Mat,Mat,PetscInt,PetscBool *);
565 extern PetscErrorCode  MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool *);
566 extern PetscErrorCode  MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool *);
567 
568 extern PetscErrorCode  MatNorm(Mat,NormType,PetscReal *);
569 PetscPolymorphicFunction(MatNorm,(Mat A,NormType t),(A,t,&n),PetscReal,n)
570 extern PetscErrorCode  MatGetColumnNorms(Mat,NormType,PetscReal *);
571 extern PetscErrorCode  MatZeroEntries(Mat);
572 extern PetscErrorCode  MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
573 extern PetscErrorCode  MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
574 extern PetscErrorCode  MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
575 extern PetscErrorCode  MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
576 extern PetscErrorCode  MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
577 
578 extern PetscErrorCode  MatUseScaledForm(Mat,PetscBool );
579 extern PetscErrorCode  MatScaleSystem(Mat,Vec,Vec);
580 extern PetscErrorCode  MatUnScaleSystem(Mat,Vec,Vec);
581 
582 extern PetscErrorCode  MatGetSize(Mat,PetscInt*,PetscInt*);
583 extern PetscErrorCode  MatGetLocalSize(Mat,PetscInt*,PetscInt*);
584 extern PetscErrorCode  MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
585 extern PetscErrorCode  MatGetOwnershipRanges(Mat,const PetscInt**);
586 extern PetscErrorCode  MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
587 extern PetscErrorCode  MatGetOwnershipRangesColumn(Mat,const PetscInt**);
588 
589 extern PetscErrorCode  MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
590 extern PetscErrorCode  MatGetSubMatricesParallel(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
591 extern PetscErrorCode  MatDestroyMatrices(PetscInt,Mat *[]);
592 extern PetscErrorCode  MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
593 extern PetscErrorCode  MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
594 extern PetscErrorCode  MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
595 extern PetscErrorCode  MatGetSeqNonzeroStructure(Mat,Mat*);
596 extern PetscErrorCode  MatDestroySeqNonzeroStructure(Mat*);
597 
598 extern PetscErrorCode  MatMerge(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
599 extern PetscErrorCode  MatMerge_SeqsToMPI(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
600 extern PetscErrorCode  MatMerge_SeqsToMPISymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
601 extern PetscErrorCode  MatMerge_SeqsToMPINumeric(Mat,Mat);
602 extern PetscErrorCode  MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
603 extern PetscErrorCode  MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
604 extern PetscErrorCode  MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,PetscInt*,Mat*);
605 extern PetscErrorCode  MatGetBrowsOfAoCols(Mat,Mat,MatReuse,PetscInt**,PetscInt**,MatScalar**,Mat*);
606 #if defined (PETSC_USE_CTABLE)
607 #include "petscctable.h"
608 extern PetscErrorCode  MatGetCommunicationStructs(Mat, Vec *, PetscTable *, VecScatter *);
609 #else
610 extern PetscErrorCode  MatGetCommunicationStructs(Mat, Vec *, PetscInt *[], VecScatter *);
611 #endif
612 extern PetscErrorCode  MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
613 
614 extern PetscErrorCode  MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
615 
616 extern PetscErrorCode  MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
617 extern PetscErrorCode  MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
618 extern PetscErrorCode  MatMatMultNumeric(Mat,Mat,Mat);
619 
620 extern PetscErrorCode  MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
621 extern PetscErrorCode  MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
622 extern PetscErrorCode  MatPtAPNumeric(Mat,Mat,Mat);
623 
624 extern PetscErrorCode  MatMatMultTranspose(Mat,Mat,MatReuse,PetscReal,Mat*);
625 extern PetscErrorCode  MatMatMultTransposeSymbolic(Mat,Mat,PetscReal,Mat*);
626 extern PetscErrorCode  MatMatMultTransposeNumeric(Mat,Mat,Mat);
627 
628 extern PetscErrorCode  MatAXPY(Mat,PetscScalar,Mat,MatStructure);
629 extern PetscErrorCode  MatAYPX(Mat,PetscScalar,Mat,MatStructure);
630 
631 extern PetscErrorCode  MatScale(Mat,PetscScalar);
632 extern PetscErrorCode  MatShift(Mat,PetscScalar);
633 
634 extern PetscErrorCode  MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
635 extern PetscErrorCode  MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
636 extern PetscErrorCode  MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
637 extern PetscErrorCode  MatGetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
638 extern PetscErrorCode  MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
639 extern PetscErrorCode  MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
640 extern PetscErrorCode  MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
641 extern PetscErrorCode  MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
642 extern PetscErrorCode  MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
643 extern PetscErrorCode  MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
644 
645 extern PetscErrorCode  MatStashSetInitialSize(Mat,PetscInt,PetscInt);
646 extern PetscErrorCode  MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
647 
648 extern PetscErrorCode  MatInterpolate(Mat,Vec,Vec);
649 extern PetscErrorCode  MatInterpolateAdd(Mat,Vec,Vec,Vec);
650 PetscPolymorphicSubroutine(MatInterpolateAdd,(Mat A,Vec x,Vec y),(A,x,y,y))
651 extern PetscErrorCode  MatRestrict(Mat,Vec,Vec);
652 extern PetscErrorCode  MatGetVecs(Mat,Vec*,Vec*);
653 extern PetscErrorCode  MatGetRedundantMatrix(Mat,PetscInt,MPI_Comm,PetscInt,MatReuse,Mat*);
654 extern PetscErrorCode  MatGetMultiProcBlock(Mat,MPI_Comm,Mat*);
655 extern PetscErrorCode  MatFindZeroDiagonals(Mat,IS*);
656 
657 /*MC
658    MatSetValue - Set a single entry into a matrix.
659 
660    Not collective
661 
662    Input Parameters:
663 +  m - the matrix
664 .  row - the row location of the entry
665 .  col - the column location of the entry
666 .  value - the value to insert
667 -  mode - either INSERT_VALUES or ADD_VALUES
668 
669    Notes:
670    For efficiency one should use MatSetValues() and set several or many
671    values simultaneously if possible.
672 
673    Level: beginner
674 
675 .seealso: MatSetValues(), MatSetValueLocal()
676 M*/
677 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
678 
679 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
680 
681 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
682 
683 /*MC
684    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
685        row in a matrix providing the data that one can use to correctly preallocate the matrix.
686 
687    Synopsis:
688    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
689 
690    Collective on MPI_Comm
691 
692    Input Parameters:
693 +  comm - the communicator that will share the eventually allocated matrix
694 .  nrows - the number of LOCAL rows in the matrix
695 -  ncols - the number of LOCAL columns in the matrix
696 
697    Output Parameters:
698 +  dnz - the array that will be passed to the matrix preallocation routines
699 -  ozn - the other array passed to the matrix preallocation routines
700 
701 
702    Level: intermediate
703 
704    Notes:
705     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
706 
707    Do not malloc or free dnz and onz, that is handled internally by these routines
708 
709    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
710 
711    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
712 
713   Concepts: preallocation^Matrix
714 
715 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
716           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
717 M*/
718 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
719 { \
720   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
721   _4_ierr = PetscMalloc2(__nrows,PetscInt,&dnz,__nrows,PetscInt,&onz);CHKERRQ(_4_ierr); \
722   _4_ierr = PetscMemzero(dnz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
723   _4_ierr = PetscMemzero(onz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
724   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
725   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
726 
727 /*MC
728    MatPreallocateSymmetricInitialize - Begins the block of code that will count the number of nonzeros per
729        row in a matrix providing the data that one can use to correctly preallocate the matrix.
730 
731    Synopsis:
732    PetscErrorCode MatPreallocateSymmetricInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
733 
734    Collective on MPI_Comm
735 
736    Input Parameters:
737 +  comm - the communicator that will share the eventually allocated matrix
738 .  nrows - the number of LOCAL rows in the matrix
739 -  ncols - the number of LOCAL columns in the matrix
740 
741    Output Parameters:
742 +  dnz - the array that will be passed to the matrix preallocation routines
743 -  ozn - the other array passed to the matrix preallocation routines
744 
745 
746    Level: intermediate
747 
748    Notes:
749     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
750 
751    Do not malloc or free dnz and onz, that is handled internally by these routines
752 
753    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
754 
755   Concepts: preallocation^Matrix
756 
757 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
758           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
759 M*/
760 #define MatPreallocateSymmetricInitialize(comm,nrows,ncols,dnz,onz) 0; \
761 { \
762   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__end; \
763   _4_ierr = PetscMalloc2(__nrows,PetscInt,&dnz,__nrows,PetscInt,&onz);CHKERRQ(_4_ierr); \
764   _4_ierr = PetscMemzero(dnz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
765   _4_ierr = PetscMemzero(onz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
766   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr);\
767   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
768 
769 /*MC
770    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
771        inserted using a local number of the rows and columns
772 
773    Synopsis:
774    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
775 
776    Not Collective
777 
778    Input Parameters:
779 +  map - the row mapping from local numbering to global numbering
780 .  nrows - the number of rows indicated
781 .  rows - the indices of the rows
782 .  cmap - the column mapping from local to global numbering
783 .  ncols - the number of columns in the matrix
784 .  cols - the columns indicated
785 .  dnz - the array that will be passed to the matrix preallocation routines
786 -  ozn - the other array passed to the matrix preallocation routines
787 
788 
789    Level: intermediate
790 
791    Notes:
792     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
793 
794    Do not malloc or free dnz and onz, that is handled internally by these routines
795 
796   Concepts: preallocation^Matrix
797 
798 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
799           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
800 M*/
801 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
802 {\
803   PetscInt __l;\
804   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
805   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
806   for (__l=0;__l<nrows;__l++) {\
807     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
808   }\
809 }
810 
811 /*MC
812    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
813        inserted using a local number of the rows and columns
814 
815    Synopsis:
816    PetscErrorCode MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
817 
818    Not Collective
819 
820    Input Parameters:
821 +  map - the mapping between local numbering and global numbering
822 .  nrows - the number of rows indicated
823 .  rows - the indices of the rows
824 .  ncols - the number of columns in the matrix
825 .  cols - the columns indicated
826 .  dnz - the array that will be passed to the matrix preallocation routines
827 -  ozn - the other array passed to the matrix preallocation routines
828 
829 
830    Level: intermediate
831 
832    Notes:
833     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
834 
835    Do not malloc or free dnz and onz that is handled internally by these routines
836 
837   Concepts: preallocation^Matrix
838 
839 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
840           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
841 M*/
842 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
843 {\
844   PetscInt __l;\
845   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
846   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
847   for (__l=0;__l<nrows;__l++) {\
848     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
849   }\
850 }
851 
852 /*MC
853    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
854        inserted using a local number of the rows and columns
855 
856    Synopsis:
857    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
858 
859    Not Collective
860 
861    Input Parameters:
862 +  row - the row
863 .  ncols - the number of columns in the matrix
864 -  cols - the columns indicated
865 
866    Output Parameters:
867 +  dnz - the array that will be passed to the matrix preallocation routines
868 -  ozn - the other array passed to the matrix preallocation routines
869 
870 
871    Level: intermediate
872 
873    Notes:
874     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
875 
876    Do not malloc or free dnz and onz that is handled internally by these routines
877 
878    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
879 
880   Concepts: preallocation^Matrix
881 
882 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
883           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
884 M*/
885 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
886 { PetscInt __i; \
887   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);\
888   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);\
889   for (__i=0; __i<nc; __i++) {\
890     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
891     else dnz[row - __rstart]++;\
892   }\
893 }
894 
895 /*MC
896    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
897        inserted using a local number of the rows and columns
898 
899    Synopsis:
900    PetscErrorCode MatPreallocateSymmetricSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
901 
902    Not Collective
903 
904    Input Parameters:
905 +  nrows - the number of rows indicated
906 .  rows - the indices of the rows
907 .  ncols - the number of columns in the matrix
908 .  cols - the columns indicated
909 .  dnz - the array that will be passed to the matrix preallocation routines
910 -  ozn - the other array passed to the matrix preallocation routines
911 
912 
913    Level: intermediate
914 
915    Notes:
916     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
917 
918    Do not malloc or free dnz and onz that is handled internally by these routines
919 
920    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
921 
922   Concepts: preallocation^Matrix
923 
924 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
925           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
926 M*/
927 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
928 { PetscInt __i; \
929   for (__i=0; __i<nc; __i++) {\
930     if (cols[__i] >= __end) onz[row - __rstart]++; \
931     else if (cols[__i] >= row) dnz[row - __rstart]++;\
932   }\
933 }
934 
935 /*MC
936    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
937 
938    Synopsis:
939    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
940 
941    Not Collective
942 
943    Input Parameters:
944 .  A - matrix
945 .  row - row where values exist (must be local to this process)
946 .  ncols - number of columns
947 .  cols - columns with nonzeros
948 .  dnz - the array that will be passed to the matrix preallocation routines
949 -  ozn - the other array passed to the matrix preallocation routines
950 
951 
952    Level: intermediate
953 
954    Notes:
955     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
956 
957    Do not malloc or free dnz and onz that is handled internally by these routines
958 
959    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
960 
961   Concepts: preallocation^Matrix
962 
963 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
964           MatPreallocateSymmetricInitialize(), MatPreallocateSymmetricSetLocal()
965 M*/
966 #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);}
967 
968 
969 /*MC
970    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
971        row in a matrix providing the data that one can use to correctly preallocate the matrix.
972 
973    Synopsis:
974    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
975 
976    Collective on MPI_Comm
977 
978    Input Parameters:
979 +  dnz - the array that was be passed to the matrix preallocation routines
980 -  ozn - the other array passed to the matrix preallocation routines
981 
982 
983    Level: intermediate
984 
985    Notes:
986     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
987 
988    Do not malloc or free dnz and onz that is handled internally by these routines
989 
990    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
991 
992   Concepts: preallocation^Matrix
993 
994 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
995           MatPreallocateSymmetricInitialize(), MatPreallocateSymmetricSetLocal()
996 M*/
997 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
998 
999 
1000 
1001 /* Routines unique to particular data structures */
1002 extern PetscErrorCode  MatShellGetContext(Mat,void **);
1003 PetscPolymorphicFunction(MatShellGetContext,(Mat A),(A,&t),void*,t)
1004 
1005 extern PetscErrorCode  MatInodeAdjustForInodes(Mat,IS*,IS*);
1006 extern PetscErrorCode  MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1007 
1008 extern PetscErrorCode  MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1009 extern PetscErrorCode  MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1010 extern PetscErrorCode  MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1011 extern PetscErrorCode  MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1012 extern PetscErrorCode  MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1013 
1014 #define MAT_SKIP_ALLOCATION -4
1015 
1016 extern PetscErrorCode  MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1017 PetscPolymorphicSubroutine(MatSeqBAIJSetPreallocation,(Mat A,PetscInt bs,const PetscInt nnz[]),(A,bs,0,nnz))
1018 extern PetscErrorCode  MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1019 PetscPolymorphicSubroutine(MatSeqSBAIJSetPreallocation,(Mat A,PetscInt bs,const PetscInt nnz[]),(A,bs,0,nnz))
1020 extern PetscErrorCode  MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1021 PetscPolymorphicSubroutine(MatSeqAIJSetPreallocation,(Mat A,const PetscInt nnz[]),(A,0,nnz))
1022 
1023 extern PetscErrorCode  MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1024 PetscPolymorphicSubroutine(MatMPIBAIJSetPreallocation,(Mat A,PetscInt bs,const PetscInt nnz[],const PetscInt onz[]),(A,bs,0,nnz,0,onz))
1025 extern PetscErrorCode  MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1026 extern PetscErrorCode  MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1027 extern PetscErrorCode  MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1028 extern PetscErrorCode  MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1029 extern PetscErrorCode  MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1030 extern PetscErrorCode  MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1031 extern PetscErrorCode  MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1032 extern PetscErrorCode  MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1033 extern PetscErrorCode  MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1034 extern PetscErrorCode  MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,PetscInt*[]);
1035 extern PetscErrorCode  MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,PetscInt*[]);
1036 extern PetscErrorCode  MatAdicSetLocalFunction(Mat,void (*)(void));
1037 
1038 extern PetscErrorCode  MatSeqDenseSetLDA(Mat,PetscInt);
1039 extern PetscErrorCode  MatDenseGetLocalMatrix(Mat,Mat*);
1040 
1041 extern PetscErrorCode  MatStoreValues(Mat);
1042 extern PetscErrorCode  MatRetrieveValues(Mat);
1043 
1044 extern PetscErrorCode  MatDAADSetCtx(Mat,void*);
1045 
1046 extern PetscErrorCode  MatFindNonzeroRows(Mat,IS*);
1047 /*
1048   These routines are not usually accessed directly, rather solving is
1049   done through the KSP and PC interfaces.
1050 */
1051 
1052 /*E
1053     MatOrderingType - String with the name of a PETSc matrix ordering or the creation function
1054        with an optional dynamic library name, for example
1055        http://www.mcs.anl.gov/petsc/lib.a:orderingcreate()
1056 
1057    Level: beginner
1058 
1059    Cannot use const because the PC objects manipulate the string
1060 
1061 .seealso: MatGetOrdering()
1062 E*/
1063 #define MatOrderingType char*
1064 #define MATORDERINGNATURAL     "natural"
1065 #define MATORDERINGND          "nd"
1066 #define MATORDERING1WD         "1wd"
1067 #define MATORDERINGRCM         "rcm"
1068 #define MATORDERINGQMD         "qmd"
1069 #define MATORDERINGROWLENGTH   "rowlength"
1070 #define MATORDERINGDSC_ND      "dsc_nd"         /* these three are only for DSCPACK, see its documentation for details */
1071 #define MATORDERINGDSC_MMD     "dsc_mmd"
1072 #define MATORDERINGDSC_MDF     "dsc_mdf"
1073 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1074 
1075 extern PetscErrorCode  MatGetOrdering(Mat,const MatOrderingType,IS*,IS*);
1076 extern PetscErrorCode  MatGetOrderingList(PetscFList *list);
1077 extern PetscErrorCode  MatOrderingRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,const MatOrderingType,IS*,IS*));
1078 
1079 /*MC
1080    MatOrderingRegisterDynamic - Adds a new sparse matrix ordering to the matrix package.
1081 
1082    Synopsis:
1083    PetscErrorCode MatOrderingRegisterDynamic(const char *name_ordering,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatOrdering))
1084 
1085    Not Collective
1086 
1087    Input Parameters:
1088 +  sname - name of ordering (for example MATORDERINGND)
1089 .  path - location of library where creation routine is
1090 .  name - name of function that creates the ordering type,a string
1091 -  function - function pointer that creates the ordering
1092 
1093    Level: developer
1094 
1095    If dynamic libraries are used, then the fourth input argument (function)
1096    is ignored.
1097 
1098    Sample usage:
1099 .vb
1100    MatOrderingRegisterDynamic("my_order",/home/username/my_lib/lib/libO/solaris/mylib.a,
1101                "MyOrder",MyOrder);
1102 .ve
1103 
1104    Then, your partitioner can be chosen with the procedural interface via
1105 $     MatOrderingSetType(part,"my_order)
1106    or at runtime via the option
1107 $     -pc_factor_mat_ordering_type my_order
1108 
1109    ${PETSC_ARCH} occuring in pathname will be replaced with appropriate values.
1110 
1111 .keywords: matrix, ordering, register
1112 
1113 .seealso: MatOrderingRegisterDestroy(), MatOrderingRegisterAll()
1114 M*/
1115 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1116 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,0)
1117 #else
1118 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,d)
1119 #endif
1120 
1121 extern PetscErrorCode  MatOrderingRegisterDestroy(void);
1122 extern PetscErrorCode  MatOrderingRegisterAll(const char[]);
1123 extern PetscBool  MatOrderingRegisterAllCalled;
1124 extern PetscFList MatOrderingList;
1125 
1126 extern PetscErrorCode  MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1127 
1128 /*S
1129     MatFactorShiftType - Numeric Shift.
1130 
1131    Level: beginner
1132 
1133 S*/
1134 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1135 extern const char *MatFactorShiftTypes[];
1136 
1137 /*S
1138    MatFactorInfo - Data passed into the matrix factorization routines
1139 
1140    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1141 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1142 
1143    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1144 
1145       You can use MatFactorInfoInitialize() to set default values.
1146 
1147    Level: developer
1148 
1149 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1150           MatFactorInfoInitialize()
1151 
1152 S*/
1153 typedef struct {
1154   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1155   PetscReal     usedt;
1156   PetscReal     dt;             /* drop tolerance */
1157   PetscReal     dtcol;          /* tolerance for pivoting */
1158   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1159   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1160   PetscReal     levels;         /* ICC/ILU(levels) */
1161   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1162                                    factorization may be faster if do not pivot */
1163   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1164   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1165   PetscReal     shiftamount;     /* how large the shift is */
1166 } MatFactorInfo;
1167 
1168 extern PetscErrorCode  MatFactorInfoInitialize(MatFactorInfo*);
1169 extern PetscErrorCode  MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1170 extern PetscErrorCode  MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1171 extern PetscErrorCode  MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1172 extern PetscErrorCode  MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1173 extern PetscErrorCode  MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1174 extern PetscErrorCode  MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1175 extern PetscErrorCode  MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1176 extern PetscErrorCode  MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1177 extern PetscErrorCode  MatICCFactor(Mat,IS,const MatFactorInfo*);
1178 extern PetscErrorCode  MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1179 extern PetscErrorCode  MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1180 extern PetscErrorCode  MatSolve(Mat,Vec,Vec);
1181 extern PetscErrorCode  MatForwardSolve(Mat,Vec,Vec);
1182 extern PetscErrorCode  MatBackwardSolve(Mat,Vec,Vec);
1183 extern PetscErrorCode  MatSolveAdd(Mat,Vec,Vec,Vec);
1184 extern PetscErrorCode  MatSolveTranspose(Mat,Vec,Vec);
1185 extern PetscErrorCode  MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1186 extern PetscErrorCode  MatSolves(Mat,Vecs,Vecs);
1187 
1188 extern PetscErrorCode  MatSetUnfactored(Mat);
1189 
1190 /*E
1191     MatSORType - What type of (S)SOR to perform
1192 
1193     Level: beginner
1194 
1195    May be bitwise ORd together
1196 
1197    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1198 
1199    MatSORType may be bitwise ORd together, so do not change the numbers
1200 
1201 .seealso: MatSOR()
1202 E*/
1203 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1204               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1205               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1206               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1207 extern PetscErrorCode  MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1208 
1209 /*
1210     These routines are for efficiently computing Jacobians via finite differences.
1211 */
1212 
1213 /*E
1214     MatColoringType - String with the name of a PETSc matrix coloring or the creation function
1215        with an optional dynamic library name, for example
1216        http://www.mcs.anl.gov/petsc/lib.a:coloringcreate()
1217 
1218    Level: beginner
1219 
1220 .seealso: MatGetColoring()
1221 E*/
1222 #define MatColoringType char*
1223 #define MATCOLORINGNATURAL "natural"
1224 #define MATCOLORINGSL      "sl"
1225 #define MATCOLORINGLF      "lf"
1226 #define MATCOLORINGID      "id"
1227 
1228 extern PetscErrorCode  MatGetColoring(Mat,const MatColoringType,ISColoring*);
1229 extern PetscErrorCode  MatColoringRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,MatColoringType,ISColoring *));
1230 
1231 /*MC
1232    MatColoringRegisterDynamic - Adds a new sparse matrix coloring to the
1233                                matrix package.
1234 
1235    Synopsis:
1236    PetscErrorCode MatColoringRegisterDynamic(const char *name_coloring,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatColoring))
1237 
1238    Not Collective
1239 
1240    Input Parameters:
1241 +  sname - name of Coloring (for example MATCOLORINGSL)
1242 .  path - location of library where creation routine is
1243 .  name - name of function that creates the Coloring type, a string
1244 -  function - function pointer that creates the coloring
1245 
1246    Level: developer
1247 
1248    If dynamic libraries are used, then the fourth input argument (function)
1249    is ignored.
1250 
1251    Sample usage:
1252 .vb
1253    MatColoringRegisterDynamic("my_color",/home/username/my_lib/lib/libO/solaris/mylib.a,
1254                "MyColor",MyColor);
1255 .ve
1256 
1257    Then, your partitioner can be chosen with the procedural interface via
1258 $     MatColoringSetType(part,"my_color")
1259    or at runtime via the option
1260 $     -mat_coloring_type my_color
1261 
1262    $PETSC_ARCH occuring in pathname will be replaced with appropriate values.
1263 
1264 .keywords: matrix, Coloring, register
1265 
1266 .seealso: MatColoringRegisterDestroy(), MatColoringRegisterAll()
1267 M*/
1268 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1269 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,0)
1270 #else
1271 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,d)
1272 #endif
1273 
1274 extern PetscBool  MatColoringRegisterAllCalled;
1275 
1276 extern PetscErrorCode  MatColoringRegisterAll(const char[]);
1277 extern PetscErrorCode  MatColoringRegisterDestroy(void);
1278 extern PetscErrorCode  MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1279 
1280 /*S
1281      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1282         and coloring
1283 
1284    Level: beginner
1285 
1286   Concepts: coloring, sparse Jacobian, finite differences
1287 
1288 .seealso:  MatFDColoringCreate()
1289 S*/
1290 typedef struct _p_MatFDColoring* MatFDColoring;
1291 
1292 extern PetscErrorCode  MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1293 extern PetscErrorCode  MatFDColoringDestroy(MatFDColoring*);
1294 extern PetscErrorCode  MatFDColoringView(MatFDColoring,PetscViewer);
1295 extern PetscErrorCode  MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1296 extern PetscErrorCode  MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1297 extern PetscErrorCode  MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1298 extern PetscErrorCode  MatFDColoringSetFromOptions(MatFDColoring);
1299 extern PetscErrorCode  MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
1300 extern PetscErrorCode  MatFDColoringApplyTS(Mat,MatFDColoring,PetscReal,Vec,MatStructure*,void *);
1301 extern PetscErrorCode  MatFDColoringSetF(MatFDColoring,Vec);
1302 extern PetscErrorCode  MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1303 /*
1304     These routines are for partitioning matrices: currently used only
1305   for adjacency matrix, MatCreateMPIAdj().
1306 */
1307 
1308 /*S
1309      MatPartitioning - Object for managing the partitioning of a matrix or graph
1310 
1311    Level: beginner
1312 
1313   Concepts: partitioning
1314 
1315 .seealso:  MatPartitioningCreate(), MatPartitioningType
1316 S*/
1317 typedef struct _p_MatPartitioning* MatPartitioning;
1318 
1319 /*E
1320     MatPartitioningType - String with the name of a PETSc matrix partitioning or the creation function
1321        with an optional dynamic library name, for example
1322        http://www.mcs.anl.gov/petsc/lib.a:partitioningcreate()
1323 
1324    Level: beginner
1325 
1326 .seealso: MatPartitioningCreate(), MatPartitioning
1327 E*/
1328 #define MatPartitioningType char*
1329 #define MATPARTITIONINGCURRENT  "current"
1330 #define MATPARTITIONINGSQUARE   "square"
1331 #define MATPARTITIONINGPARMETIS "parmetis"
1332 #define MATPARTITIONINGCHACO    "chaco"
1333 #define MATPARTITIONINGJOSTLE   "jostle"
1334 #define MATPARTITIONINGPARTY    "party"
1335 #define MATPARTITIONINGSCOTCH   "scotch"
1336 
1337 
1338 extern PetscErrorCode  MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1339 extern PetscErrorCode  MatPartitioningSetType(MatPartitioning,const MatPartitioningType);
1340 extern PetscErrorCode  MatPartitioningSetNParts(MatPartitioning,PetscInt);
1341 extern PetscErrorCode  MatPartitioningSetAdjacency(MatPartitioning,Mat);
1342 extern PetscErrorCode  MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1343 extern PetscErrorCode  MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1344 extern PetscErrorCode  MatPartitioningApply(MatPartitioning,IS*);
1345 extern PetscErrorCode  MatPartitioningDestroy(MatPartitioning*);
1346 
1347 extern PetscErrorCode  MatPartitioningRegister(const char[],const char[],const char[],PetscErrorCode (*)(MatPartitioning));
1348 
1349 /*MC
1350    MatPartitioningRegisterDynamic - Adds a new sparse matrix partitioning to the
1351    matrix package.
1352 
1353    Synopsis:
1354    PetscErrorCode MatPartitioningRegisterDynamic(const char *name_partitioning,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatPartitioning))
1355 
1356    Not Collective
1357 
1358    Input Parameters:
1359 +  sname - name of partitioning (for example MATPARTITIONINGCURRENT) or parmetis
1360 .  path - location of library where creation routine is
1361 .  name - name of function that creates the partitioning type, a string
1362 -  function - function pointer that creates the partitioning type
1363 
1364    Level: developer
1365 
1366    If dynamic libraries are used, then the fourth input argument (function)
1367    is ignored.
1368 
1369    Sample usage:
1370 .vb
1371    MatPartitioningRegisterDynamic("my_part",/home/username/my_lib/lib/libO/solaris/mylib.a,
1372                "MyPartCreate",MyPartCreate);
1373 .ve
1374 
1375    Then, your partitioner can be chosen with the procedural interface via
1376 $     MatPartitioningSetType(part,"my_part")
1377    or at runtime via the option
1378 $     -mat_partitioning_type my_part
1379 
1380    $PETSC_ARCH occuring in pathname will be replaced with appropriate values.
1381 
1382 .keywords: matrix, partitioning, register
1383 
1384 .seealso: MatPartitioningRegisterDestroy(), MatPartitioningRegisterAll()
1385 M*/
1386 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1387 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,0)
1388 #else
1389 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,d)
1390 #endif
1391 
1392 extern PetscBool  MatPartitioningRegisterAllCalled;
1393 
1394 extern PetscErrorCode  MatPartitioningRegisterAll(const char[]);
1395 extern PetscErrorCode  MatPartitioningRegisterDestroy(void);
1396 
1397 extern PetscErrorCode  MatPartitioningView(MatPartitioning,PetscViewer);
1398 extern PetscErrorCode  MatPartitioningSetFromOptions(MatPartitioning);
1399 extern PetscErrorCode  MatPartitioningGetType(MatPartitioning,const MatPartitioningType*);
1400 
1401 extern PetscErrorCode  MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1402 extern PetscErrorCode  MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1403 
1404 extern PetscErrorCode  MatPartitioningJostleSetCoarseLevel(MatPartitioning,PetscReal);
1405 extern PetscErrorCode  MatPartitioningJostleSetCoarseSequential(MatPartitioning);
1406 
1407 typedef enum {MP_CHACO_MULTILEVEL_KL,MP_CHACO_SPECTRAL,MP_CHACO_LINEAR,MP_CHACO_RANDOM, MP_CHACO_SCATTERED} MPChacoGlobalType;
1408 extern PetscErrorCode  MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1409 typedef enum { MP_CHACO_KERNIGHAN_LIN, MP_CHACO_NONE } MPChacoLocalType;
1410 extern PetscErrorCode  MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1411 extern PetscErrorCode  MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1412 typedef enum { MP_CHACO_LANCZOS, MP_CHACO_RQI_SYMMLQ } MPChacoEigenType;
1413 extern PetscErrorCode  MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1414 extern PetscErrorCode  MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1415 extern PetscErrorCode  MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1416 
1417 #define MP_PARTY_OPT "opt"
1418 #define MP_PARTY_LIN "lin"
1419 #define MP_PARTY_SCA "sca"
1420 #define MP_PARTY_RAN "ran"
1421 #define MP_PARTY_GBF "gbf"
1422 #define MP_PARTY_GCF "gcf"
1423 #define MP_PARTY_BUB "bub"
1424 #define MP_PARTY_DEF "def"
1425 extern PetscErrorCode  MatPartitioningPartySetGlobal(MatPartitioning, const char*);
1426 #define MP_PARTY_HELPFUL_SETS "hs"
1427 #define MP_PARTY_KERNIGHAN_LIN "kl"
1428 #define MP_PARTY_NONE "no"
1429 extern PetscErrorCode  MatPartitioningPartySetLocal(MatPartitioning, const char*);
1430 extern PetscErrorCode  MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1431 extern PetscErrorCode  MatPartitioningPartySetBipart(MatPartitioning,PetscBool );
1432 extern PetscErrorCode  MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool );
1433 
1434 typedef enum { MP_SCOTCH_GREEDY, MP_SCOTCH_GPS, MP_SCOTCH_GR_GPS } MPScotchGlobalType;
1435 extern PetscErrorCode  MatPartitioningScotchSetArch(MatPartitioning,const char*);
1436 extern PetscErrorCode  MatPartitioningScotchSetMultilevel(MatPartitioning);
1437 extern PetscErrorCode  MatPartitioningScotchSetGlobal(MatPartitioning,MPScotchGlobalType);
1438 extern PetscErrorCode  MatPartitioningScotchSetCoarseLevel(MatPartitioning,PetscReal);
1439 extern PetscErrorCode  MatPartitioningScotchSetHostList(MatPartitioning,const char*);
1440 typedef enum { MP_SCOTCH_KERNIGHAN_LIN, MP_SCOTCH_NONE } MPScotchLocalType;
1441 extern PetscErrorCode  MatPartitioningScotchSetLocal(MatPartitioning,MPScotchLocalType);
1442 extern PetscErrorCode  MatPartitioningScotchSetMapping(MatPartitioning);
1443 extern PetscErrorCode  MatPartitioningScotchSetStrategy(MatPartitioning,char*);
1444 
1445 extern PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1446 extern PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1447 
1448 /*
1449     If you add entries here you must also add them to finclude/petscmat.h
1450 */
1451 typedef enum { MATOP_SET_VALUES=0,
1452                MATOP_GET_ROW=1,
1453                MATOP_RESTORE_ROW=2,
1454                MATOP_MULT=3,
1455                MATOP_MULT_ADD=4,
1456                MATOP_MULT_TRANSPOSE=5,
1457                MATOP_MULT_TRANSPOSE_ADD=6,
1458                MATOP_SOLVE=7,
1459                MATOP_SOLVE_ADD=8,
1460                MATOP_SOLVE_TRANSPOSE=9,
1461                MATOP_SOLVE_TRANSPOSE_ADD=10,
1462                MATOP_LUFACTOR=11,
1463                MATOP_CHOLESKYFACTOR=12,
1464                MATOP_SOR=13,
1465                MATOP_TRANSPOSE=14,
1466                MATOP_GETINFO=15,
1467                MATOP_EQUAL=16,
1468                MATOP_GET_DIAGONAL=17,
1469                MATOP_DIAGONAL_SCALE=18,
1470                MATOP_NORM=19,
1471                MATOP_ASSEMBLY_BEGIN=20,
1472                MATOP_ASSEMBLY_END=21,
1473                MATOP_SET_OPTION=22,
1474                MATOP_ZERO_ENTRIES=23,
1475                MATOP_ZERO_ROWS=24,
1476                MATOP_LUFACTOR_SYMBOLIC=25,
1477                MATOP_LUFACTOR_NUMERIC=26,
1478                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1479                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1480                MATOP_SETUP_PREALLOCATION=29,
1481                MATOP_ILUFACTOR_SYMBOLIC=30,
1482                MATOP_ICCFACTOR_SYMBOLIC=31,
1483                MATOP_GET_ARRAY=32,
1484                MATOP_RESTORE_ARRAY=33,
1485                MATOP_DUPLICATE=34,
1486                MATOP_FORWARD_SOLVE=35,
1487                MATOP_BACKWARD_SOLVE=36,
1488                MATOP_ILUFACTOR=37,
1489                MATOP_ICCFACTOR=38,
1490                MATOP_AXPY=39,
1491                MATOP_GET_SUBMATRICES=40,
1492                MATOP_INCREASE_OVERLAP=41,
1493                MATOP_GET_VALUES=42,
1494                MATOP_COPY=43,
1495                MATOP_GET_ROW_MAX=44,
1496                MATOP_SCALE=45,
1497                MATOP_SHIFT=46,
1498                MATOP_DIAGONAL_SET=47,
1499                MATOP_ILUDT_FACTOR=48,
1500                MATOP_SET_BLOCK_SIZE=49,
1501                MATOP_GET_ROW_IJ=50,
1502                MATOP_RESTORE_ROW_IJ=51,
1503                MATOP_GET_COLUMN_IJ=52,
1504                MATOP_RESTORE_COLUMN_IJ=53,
1505                MATOP_FDCOLORING_CREATE=54,
1506                MATOP_COLORING_PATCH=55,
1507                MATOP_SET_UNFACTORED=56,
1508                MATOP_PERMUTE=57,
1509                MATOP_SET_VALUES_BLOCKED=58,
1510                MATOP_GET_SUBMATRIX=59,
1511                MATOP_DESTROY=60,
1512                MATOP_VIEW=61,
1513                MATOP_CONVERT_FROM=62,
1514                MATOP_USE_SCALED_FORM=63,
1515                MATOP_SCALE_SYSTEM=64,
1516                MATOP_UNSCALE_SYSTEM=65,
1517                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1518                MATOP_SET_VALUES_LOCAL=67,
1519                MATOP_ZERO_ROWS_LOCAL=68,
1520                MATOP_GET_ROW_MAX_ABS=69,
1521                MATOP_GET_ROW_MIN_ABS=70,
1522                MATOP_CONVERT=71,
1523                MATOP_SET_COLORING=72,
1524                MATOP_SET_VALUES_ADIC=73,
1525                MATOP_SET_VALUES_ADIFOR=74,
1526                MATOP_FD_COLORING_APPLY=75,
1527                MATOP_SET_FROM_OPTIONS=76,
1528                MATOP_MULT_CON=77,
1529                MATOP_MULT_TRANSPOSE_CON=78,
1530                MATOP_PERMUTE_SPARSIFY=79,
1531                MATOP_MULT_MULTIPLE=80,
1532                MATOP_SOLVE_MULTIPLE=81,
1533                MATOP_GET_INERTIA=82,
1534                MATOP_LOAD=83,
1535                MATOP_IS_SYMMETRIC=84,
1536                MATOP_IS_HERMITIAN=85,
1537                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1538                MATOP_DUMMY=87,
1539                MATOP_GET_VECS=88,
1540                MATOP_MAT_MULT=89,
1541                MATOP_MAT_MULT_SYMBOLIC=90,
1542                MATOP_MAT_MULT_NUMERIC=91,
1543                MATOP_PTAP=92,
1544                MATOP_PTAP_SYMBOLIC=93,
1545                MATOP_PTAP_NUMERIC=94,
1546                MATOP_MAT_MULTTRANSPOSE=95,
1547                MATOP_MAT_MULTTRANSPOSE_SYM=96,
1548                MATOP_MAT_MULTTRANSPOSE_NUM=97,
1549                MATOP_PTAP_SYMBOLIC_SEQAIJ=98,
1550                MATOP_PTAP_NUMERIC_SEQAIJ=99,
1551                MATOP_PTAP_SYMBOLIC_MPIAIJ=100,
1552                MATOP_PTAP_NUMERIC_MPIAIJ=101,
1553                MATOP_CONJUGATE=102,
1554                MATOP_SET_SIZES=103,
1555                MATOP_SET_VALUES_ROW=104,
1556                MATOP_REAL_PART=105,
1557                MATOP_IMAG_PART=106,
1558                MATOP_GET_ROW_UTRIANGULAR=107,
1559                MATOP_RESTORE_ROW_UTRIANGULAR=108,
1560                MATOP_MATSOLVE=109,
1561                MATOP_GET_REDUNDANTMATRIX=110,
1562                MATOP_GET_ROW_MIN=111,
1563                MATOP_GET_COLUMN_VEC=112,
1564                MATOP_MISSING_DIAGONAL=113,
1565                MATOP_MATGETSEQNONZEROSTRUCTURE=114,
1566                MATOP_CREATE=115,
1567                MATOP_GET_GHOSTS=116,
1568                MATOP_GET_LOCALSUBMATRIX=117,
1569                MATOP_RESTORE_LOCALSUBMATRIX=118,
1570                MATOP_MULT_DIAGONAL_BLOCK=119,
1571                MATOP_HERMITIANTRANSPOSE=120,
1572                MATOP_MULTHERMITIANTRANSPOSE=121,
1573                MATOP_MULTHERMITIANTRANSPOSEADD=122,
1574                MATOP_GETMULTIPROCBLOCK=123,
1575                MATOP_GETCOLUMNNORMS=125,
1576 	       MATOP_GET_SUBMATRICES_PARALLEL=128
1577              } MatOperation;
1578 extern PetscErrorCode  MatHasOperation(Mat,MatOperation,PetscBool *);
1579 extern PetscErrorCode  MatShellSetOperation(Mat,MatOperation,void(*)(void));
1580 extern PetscErrorCode  MatShellGetOperation(Mat,MatOperation,void(**)(void));
1581 extern PetscErrorCode  MatShellSetContext(Mat,void*);
1582 
1583 /*
1584    Codes for matrices stored on disk. By default they are
1585    stored in a universal format. By changing the format with
1586    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1587    be stored in a way natural for the matrix, for example dense matrices
1588    would be stored as dense. Matrices stored this way may only be
1589    read into matrices of the same type.
1590 */
1591 #define MATRIX_BINARY_FORMAT_DENSE -1
1592 
1593 extern PetscErrorCode  MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1594 extern PetscErrorCode  MatISGetLocalMat(Mat,Mat*);
1595 
1596 /*S
1597      MatNullSpace - Object that removes a null space from a vector, i.e.
1598          orthogonalizes the vector to a subsapce
1599 
1600    Level: advanced
1601 
1602   Concepts: matrix; linear operator, null space
1603 
1604   Users manual sections:
1605 .   sec_singular
1606 
1607 .seealso:  MatNullSpaceCreate()
1608 S*/
1609 typedef struct _p_MatNullSpace* MatNullSpace;
1610 
1611 extern PetscErrorCode  MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1612 extern PetscErrorCode  MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1613 extern PetscErrorCode  MatNullSpaceDestroy(MatNullSpace*);
1614 extern PetscErrorCode  MatNullSpaceRemove(MatNullSpace,Vec,Vec*);
1615 extern PetscErrorCode  MatNullSpaceAttach(Mat,MatNullSpace);
1616 extern PetscErrorCode  MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1617 extern PetscErrorCode  MatNullSpaceView(MatNullSpace,PetscViewer);
1618 
1619 extern PetscErrorCode  MatReorderingSeqSBAIJ(Mat,IS);
1620 extern PetscErrorCode  MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1621 extern PetscErrorCode  MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1622 extern PetscErrorCode  MatSeqBAIJInvertBlockDiagonal(Mat);
1623 
1624 extern PetscErrorCode  MatCreateMAIJ(Mat,PetscInt,Mat*);
1625 extern PetscErrorCode  MatMAIJRedimension(Mat,PetscInt,Mat*);
1626 extern PetscErrorCode  MatMAIJGetAIJ(Mat,Mat*);
1627 
1628 extern PetscErrorCode  MatComputeExplicitOperator(Mat,Mat*);
1629 
1630 extern PetscErrorCode  MatDiagonalScaleLocal(Mat,Vec);
1631 
1632 extern PetscErrorCode  MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1633 extern PetscErrorCode  MatMFFDSetBase(Mat,Vec,Vec);
1634 extern PetscErrorCode  MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1635 extern PetscErrorCode  MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1636 extern PetscErrorCode  MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1637 extern PetscErrorCode  MatMFFDAddNullSpace(Mat,MatNullSpace);
1638 extern PetscErrorCode  MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1639 extern PetscErrorCode  MatMFFDResetHHistory(Mat);
1640 extern PetscErrorCode  MatMFFDSetFunctionError(Mat,PetscReal);
1641 extern PetscErrorCode  MatMFFDSetPeriod(Mat,PetscInt);
1642 extern PetscErrorCode  MatMFFDGetH(Mat,PetscScalar *);
1643 extern PetscErrorCode  MatMFFDSetOptionsPrefix(Mat,const char[]);
1644 extern PetscErrorCode  MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1645 extern PetscErrorCode  MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1646 
1647 /*S
1648     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1649               Jacobian vector products
1650 
1651     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1652 
1653            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1654 
1655     Level: developer
1656 
1657 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1658 S*/
1659 typedef struct _p_MatMFFD* MatMFFD;
1660 
1661 /*E
1662     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1663 
1664    Level: beginner
1665 
1666 .seealso: MatMFFDSetType(), MatMFFDRegister()
1667 E*/
1668 #define MatMFFDType char*
1669 #define MATMFFD_DS  "ds"
1670 #define MATMFFD_WP  "wp"
1671 
1672 extern PetscErrorCode  MatMFFDSetType(Mat,const MatMFFDType);
1673 extern PetscErrorCode  MatMFFDRegister(const char[],const char[],const char[],PetscErrorCode (*)(MatMFFD));
1674 
1675 /*MC
1676    MatMFFDRegisterDynamic - Adds a method to the MatMFFD registry.
1677 
1678    Synopsis:
1679    PetscErrorCode MatMFFDRegisterDynamic(const char *name_solver,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatMFFD))
1680 
1681    Not Collective
1682 
1683    Input Parameters:
1684 +  name_solver - name of a new user-defined compute-h module
1685 .  path - path (either absolute or relative) the library containing this solver
1686 .  name_create - name of routine to create method context
1687 -  routine_create - routine to create method context
1688 
1689    Level: developer
1690 
1691    Notes:
1692    MatMFFDRegisterDynamic() may be called multiple times to add several user-defined solvers.
1693 
1694    If dynamic libraries are used, then the fourth input argument (routine_create)
1695    is ignored.
1696 
1697    Sample usage:
1698 .vb
1699    MatMFFDRegisterDynamic("my_h",/home/username/my_lib/lib/libO/solaris/mylib.a,
1700                "MyHCreate",MyHCreate);
1701 .ve
1702 
1703    Then, your solver can be chosen with the procedural interface via
1704 $     MatMFFDSetType(mfctx,"my_h")
1705    or at runtime via the option
1706 $     -snes_mf_type my_h
1707 
1708 .keywords: MatMFFD, register
1709 
1710 .seealso: MatMFFDRegisterAll(), MatMFFDRegisterDestroy()
1711 M*/
1712 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1713 #define MatMFFDRegisterDynamic(a,b,c,d) MatMFFDRegister(a,b,c,0)
1714 #else
1715 #define MatMFFDRegisterDynamic(a,b,c,d) MatMFFDRegister(a,b,c,d)
1716 #endif
1717 
1718 extern PetscErrorCode  MatMFFDRegisterAll(const char[]);
1719 extern PetscErrorCode  MatMFFDRegisterDestroy(void);
1720 extern PetscErrorCode  MatMFFDDSSetUmin(Mat,PetscReal);
1721 extern PetscErrorCode  MatMFFDWPSetComputeNormU(Mat,PetscBool );
1722 
1723 
1724 extern PetscErrorCode  PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1725 extern PetscErrorCode  PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1726 
1727 /*
1728    PETSc interface to MUMPS
1729 */
1730 #ifdef PETSC_HAVE_MUMPS
1731 extern PetscErrorCode  MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1732 #endif
1733 
1734 /*
1735    PETSc interface to SUPERLU
1736 */
1737 #ifdef PETSC_HAVE_SUPERLU
1738 extern PetscErrorCode  MatSuperluSetILUDropTol(Mat,PetscReal);
1739 #endif
1740 
1741 #if defined(PETSC_HAVE_CUSP)
1742 extern PetscErrorCode  MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1743 extern PetscErrorCode  MatCreateMPIAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1744 #endif
1745 
1746 extern PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1747 extern PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1748 extern PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1749 extern PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1750 extern PetscErrorCode MatNestSetVecType(Mat,const VecType);
1751 extern PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1752 extern PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1753 
1754 PETSC_EXTERN_CXX_END
1755 #endif
1756