xref: /petsc/include/petscmat.h (revision 51d315f7f51405b454a6b2ffbc3c7276a5e2a085)
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 MATSEQPTHREADAIJ     "seqpthreadaij"
38 #define MATMPIAIJ            "mpiaij"
39 #define MATAIJCRL              "aijcrl"
40 #define MATSEQAIJCRL             "seqaijcrl"
41 #define MATMPIAIJCRL             "mpiaijcrl"
42 #define MATAIJCUSP             "aijcusp"
43 #define MATSEQAIJCUSP            "seqaijcusp"
44 #define MATMPIAIJCUSP            "mpiaijcusp"
45 #define MATAIJPERM             "aijperm"
46 #define MATSEQAIJPERM            "seqaijperm"
47 #define MATMPIAIJPERM            "mpiaijperm"
48 #define MATSHELL           "shell"
49 #define MATDENSE           "dense"
50 #define MATSEQDENSE          "seqdense"
51 #define MATMPIDENSE          "mpidense"
52 #define MATBAIJ            "baij"
53 #define MATSEQBAIJ           "seqbaij"
54 #define MATMPIBAIJ           "mpibaij"
55 #define MATMPIADJ          "mpiadj"
56 #define MATSBAIJ           "sbaij"
57 #define MATSEQSBAIJ          "seqsbaij"
58 #define MATMPISBAIJ          "mpisbaij"
59 
60 #define MATSEQBSTRM        "seqbstrm"
61 #define MATMPIBSTRM        "mpibstrm"
62 #define MATBSTRM           "bstrm"
63 #define MATSEQSBSTRM       "seqsbstrm"
64 #define MATMPISBSTRM       "mpisbstrm"
65 #define MATSBSTRM          "sbstrm"
66 
67 #define MATDAAD            "daad"
68 #define MATMFFD            "mffd"
69 #define MATNORMAL          "normal"
70 #define MATLRC             "lrc"
71 #define MATSCATTER         "scatter"
72 #define MATBLOCKMAT        "blockmat"
73 #define MATCOMPOSITE       "composite"
74 #define MATFFT             "fft"
75 #define MATFFTW              "fftw"
76 #define MATSEQCUFFT          "seqcufft"
77 #define MATTRANSPOSEMAT    "transpose"
78 #define MATSCHURCOMPLEMENT "schurcomplement"
79 #define MATPYTHON          "python"
80 #define MATHYPRESTRUCT     "hyprestruct"
81 #define MATHYPRESSTRUCT    "hypresstruct"
82 #define MATSUBMATRIX       "submatrix"
83 #define MATLOCALREF        "localref"
84 #define MATNEST            "nest"
85 
86 /*E
87     MatSolverPackage - String with the name of a PETSc matrix solver type.
88 
89     For example: "petsc" indicates what PETSc provides, "superlu" indicates either
90        SuperLU or SuperLU_Dist etc.
91 
92 
93    Level: beginner
94 
95 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
96 E*/
97 #define MatSolverPackage char*
98 #define MATSOLVERSPOOLES      "spooles"
99 #define MATSOLVERSUPERLU      "superlu"
100 #define MATSOLVERSUPERLU_DIST "superlu_dist"
101 #define MATSOLVERUMFPACK      "umfpack"
102 #define MATSOLVERCHOLMOD      "cholmod"
103 #define MATSOLVERESSL         "essl"
104 #define MATSOLVERLUSOL        "lusol"
105 #define MATSOLVERMUMPS        "mumps"
106 #define MATSOLVERPASTIX       "pastix"
107 #define MATSOLVERDSCPACK      "dscpack"
108 #define MATSOLVERMATLAB       "matlab"
109 #define MATSOLVERPETSC        "petsc"
110 #define MATSOLVERPLAPACK      "plapack"
111 #define MATSOLVERBAS          "bas"
112 
113 #define MATSOLVERBSTRM        "bstrm"
114 #define MATSOLVERSBSTRM       "sbstrm"
115 
116 /*E
117     MatFactorType - indicates what type of factorization is requested
118 
119     Level: beginner
120 
121    Any additions/changes here MUST also be made in include/finclude/petscmat.h
122 
123 .seealso: MatSolverPackage, MatGetFactor()
124 E*/
125 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
126 extern const char *const MatFactorTypes[];
127 
128 extern PetscErrorCode  MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
129 extern PetscErrorCode  MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
130 extern PetscErrorCode  MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
131 extern PetscErrorCode  MatGetFactorType(Mat,MatFactorType*);
132 
133 /* Logging support */
134 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
135 extern PetscClassId  MAT_CLASSID;
136 extern PetscClassId  MAT_FDCOLORING_CLASSID;
137 extern PetscClassId  MAT_PARTITIONING_CLASSID;
138 extern PetscClassId  MAT_NULLSPACE_CLASSID;
139 extern PetscClassId  MATMFFD_CLASSID;
140 
141 /*E
142     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
143      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
144      that the input matrix is to be replaced with the converted matrix.
145 
146     Level: beginner
147 
148    Any additions/changes here MUST also be made in include/finclude/petscmat.h
149 
150 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
151 E*/
152 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX} MatReuse;
153 
154 /*E
155     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
156      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
157 
158     Level: beginner
159 
160 .seealso: MatGetSeqNonzerostructure()
161 E*/
162 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
163 
164 extern PetscErrorCode  MatInitializePackage(const char[]);
165 
166 extern PetscErrorCode  MatCreate(MPI_Comm,Mat*);
167 PetscPolymorphicFunction(MatCreate,(MPI_Comm comm),(comm,&A),Mat,A)
168 PetscPolymorphicFunction(MatCreate,(),(PETSC_COMM_WORLD,&A),Mat,A)
169 extern PetscErrorCode  MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
170 extern PetscErrorCode  MatSetType(Mat,const MatType);
171 extern PetscErrorCode  MatSetFromOptions(Mat);
172 extern PetscErrorCode  MatSetUpPreallocation(Mat);
173 extern PetscErrorCode  MatRegisterAll(const char[]);
174 extern PetscErrorCode  MatRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat));
175 extern PetscErrorCode  MatRegisterBaseName(const char[],const char[],const char[]);
176 extern PetscErrorCode  MatSetOptionsPrefix(Mat,const char[]);
177 extern PetscErrorCode  MatAppendOptionsPrefix(Mat,const char[]);
178 extern PetscErrorCode  MatGetOptionsPrefix(Mat,const char*[]);
179 
180 /*MC
181    MatRegisterDynamic - Adds a new matrix type
182 
183    Synopsis:
184    PetscErrorCode MatRegisterDynamic(const char *name,const char *path,const char *name_create,PetscErrorCode (*routine_create)(Mat))
185 
186    Not Collective
187 
188    Input Parameters:
189 +  name - name of a new user-defined matrix type
190 .  path - path (either absolute or relative) the library containing this solver
191 .  name_create - name of routine to create method context
192 -  routine_create - routine to create method context
193 
194    Notes:
195    MatRegisterDynamic() may be called multiple times to add several user-defined solvers.
196 
197    If dynamic libraries are used, then the fourth input argument (routine_create)
198    is ignored.
199 
200    Sample usage:
201 .vb
202    MatRegisterDynamic("my_mat",/home/username/my_lib/lib/libO/solaris/mylib.a,
203                "MyMatCreate",MyMatCreate);
204 .ve
205 
206    Then, your solver can be chosen with the procedural interface via
207 $     MatSetType(Mat,"my_mat")
208    or at runtime via the option
209 $     -mat_type my_mat
210 
211    Level: advanced
212 
213    Notes: ${PETSC_ARCH} occuring in pathname will be replaced with appropriate values.
214          If your function is not being put into a shared library then use VecRegister() instead
215 
216 .keywords: Mat, register
217 
218 .seealso: MatRegisterAll(), MatRegisterDestroy()
219 
220 M*/
221 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
222 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,0)
223 #else
224 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,d)
225 #endif
226 
227 extern PetscBool  MatRegisterAllCalled;
228 extern PetscFList MatList;
229 extern PetscFList MatColoringList;
230 extern PetscFList MatPartitioningList;
231 
232 /*E
233     MatStructure - Indicates if the matrix has the same nonzero structure
234 
235     Level: beginner
236 
237    Any additions/changes here MUST also be made in include/finclude/petscmat.h
238 
239 .seealso: MatCopy(), KSPSetOperators(), PCSetOperators()
240 E*/
241 typedef enum {SAME_NONZERO_PATTERN,DIFFERENT_NONZERO_PATTERN,SAME_PRECONDITIONER,SUBSET_NONZERO_PATTERN} MatStructure;
242 
243 extern PetscErrorCode  MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
244 extern PetscErrorCode  MatCreateMPIDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
245 extern PetscErrorCode  MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
246 PetscPolymorphicFunction(MatCreateSeqAIJ,(PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[]),(PETSC_COMM_SELF,m,n,nz,nnz,&A),Mat,A)
247 PetscPolymorphicFunction(MatCreateSeqAIJ,(PetscInt m,PetscInt n,PetscInt nz),(PETSC_COMM_SELF,m,n,nz,PETSC_NULL,&A),Mat,A)
248 PetscPolymorphicFunction(MatCreateSeqAIJ,(PetscInt m,PetscInt n,const PetscInt nnz[]),(PETSC_COMM_SELF,m,n,0,nnz,&A),Mat,A)
249 PetscPolymorphicFunction(MatCreateSeqAIJ,(PetscInt m,PetscInt n),(PETSC_COMM_SELF,m,n,0,PETSC_NULL,&A),Mat,A)
250 PetscPolymorphicSubroutine(MatCreateSeqAIJ,(PetscInt m,PetscInt n,PetscInt nz,Mat *A),(PETSC_COMM_SELF,m,n,nz,PETSC_NULL,A))
251 PetscPolymorphicSubroutine(MatCreateSeqAIJ,(PetscInt m,PetscInt n,const PetscInt nnz[],Mat *A),(PETSC_COMM_SELF,m,n,0,nnz,A))
252 PetscPolymorphicSubroutine(MatCreateSeqAIJ,(PetscInt m,PetscInt n,Mat *A),(PETSC_COMM_SELF,m,n,0,PETSC_NULL,A))
253 extern PetscErrorCode  MatCreateMPIAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
254 PetscPolymorphicFunction(MatCreateMPIAIJ,(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,const PetscInt nnz[],PetscInt onz,const PetscInt onnz[]),(comm,m,n,M,N,nz,nnz,onz,onnz,&A),Mat,A)
255 PetscPolymorphicFunction(MatCreateMPIAIJ,(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz),(comm,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,&A),Mat,A)
256 PetscPolymorphicFunction(MatCreateMPIAIJ,(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[]),(comm,m,n,M,N,0,nnz,0,onz,&A),Mat,A)
257 PetscPolymorphicFunction(MatCreateMPIAIJ,(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N),(comm,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,&A),Mat,A)
258 PetscPolymorphicSubroutine(MatCreateMPIAIJ,(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz,Mat *A),(comm,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,A))
259 PetscPolymorphicSubroutine(MatCreateMPIAIJ,(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[],Mat *A),(comm,m,n,M,N,0,nnz,0,onz,A))
260 PetscPolymorphicSubroutine(MatCreateMPIAIJ,(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N,Mat *A),(comm,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,A))
261 PetscPolymorphicFunction(MatCreateMPIAIJ,(PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,const PetscInt nnz[],PetscInt onz,const PetscInt onnz[]),(PETSC_COMM_WORLD,m,n,M,N,nz,nnz,onz,onnz,&A),Mat,A)
262 PetscPolymorphicFunction(MatCreateMPIAIJ,(PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz),(PETSC_COMM_WORLD,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,&A),Mat,A)
263 PetscPolymorphicFunction(MatCreateMPIAIJ,(PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[]),(PETSC_COMM_WORLD,m,n,M,N,0,nnz,0,onz,&A),Mat,A)
264 PetscPolymorphicFunction(MatCreateMPIAIJ,(PetscInt m,PetscInt n,PetscInt M,PetscInt N),(PETSC_COMM_WORLD,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,&A),Mat,A)
265 PetscPolymorphicSubroutine(MatCreateMPIAIJ,(PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz,Mat *A),(PETSC_COMM_WORLD,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,A))
266 PetscPolymorphicSubroutine(MatCreateMPIAIJ,(PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[],Mat *A),(PETSC_COMM_WORLD,m,n,M,N,0,nnz,0,onz,A))
267 PetscPolymorphicSubroutine(MatCreateMPIAIJ,(PetscInt m,PetscInt n,PetscInt M,PetscInt N,Mat *A),(PETSC_COMM_WORLD,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,A))
268 extern PetscErrorCode  MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
269 extern PetscErrorCode  MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
270 
271 extern PetscErrorCode  MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
272 PetscPolymorphicFunction(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[]),(PETSC_COMM_SELF,bs,m,n,nz,nnz,&A),Mat,A)
273 PetscPolymorphicFunction(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz),(PETSC_COMM_SELF,bs,m,n,nz,PETSC_NULL,&A),Mat,A)
274 PetscPolymorphicFunction(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,const PetscInt nnz[]),(PETSC_COMM_SELF,bs,m,n,0,nnz,&A),Mat,A)
275 PetscPolymorphicFunction(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n),(PETSC_COMM_SELF,bs,m,n,0,PETSC_NULL,&A),Mat,A)
276 PetscPolymorphicSubroutine(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,Mat *A),(PETSC_COMM_SELF,bs,m,n,nz,PETSC_NULL,A))
277 PetscPolymorphicSubroutine(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,const PetscInt nnz[],Mat *A),(PETSC_COMM_SELF,bs,m,n,0,nnz,A))
278 PetscPolymorphicSubroutine(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,Mat *A),(PETSC_COMM_SELF,bs,m,n,0,PETSC_NULL,A))
279 extern PetscErrorCode  MatCreateMPIBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
280 PetscPolymorphicFunction(MatCreateMPIBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,const PetscInt nnz[],PetscInt onz,const PetscInt onnz[]),(comm,bs,m,n,M,N,nz,nnz,onz,onnz,&A),Mat,A)
281 PetscPolymorphicFunction(MatCreateMPIBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz),(comm,bs,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,&A),Mat,A)
282 PetscPolymorphicFunction(MatCreateMPIBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[]),(comm,bs,m,n,M,N,0,nnz,0,onz,&A),Mat,A)
283 PetscPolymorphicFunction(MatCreateMPIBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N),(comm,bs,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,&A),Mat,A)
284 PetscPolymorphicSubroutine(MatCreateMPIBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz,Mat *A),(comm,bs,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,A))
285 PetscPolymorphicSubroutine(MatCreateMPIBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[],Mat *A),(comm,bs,m,n,M,N,0,nnz,0,onz,A))
286 PetscPolymorphicSubroutine(MatCreateMPIBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,Mat *A),(comm,bs,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,A))
287 PetscPolymorphicFunction(MatCreateMPIBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,const PetscInt nnz[],PetscInt onz,const PetscInt onnz[]),(PETSC_COMM_WORLD,bs,m,n,M,N,nz,nnz,onz,onnz,&A),Mat,A)
288 PetscPolymorphicFunction(MatCreateMPIBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz),(PETSC_COMM_WORLD,bs,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,&A),Mat,A)
289 PetscPolymorphicFunction(MatCreateMPIBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[]),(PETSC_COMM_WORLD,bs,m,n,M,N,0,nnz,0,onz,&A),Mat,A)
290 PetscPolymorphicFunction(MatCreateMPIBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N),(PETSC_COMM_WORLD,bs,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,&A),Mat,A)
291 PetscPolymorphicSubroutine(MatCreateMPIBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz,Mat *A),(PETSC_COMM_WORLD,bs,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,A))
292 PetscPolymorphicSubroutine(MatCreateMPIBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[],Mat *A),(PETSC_COMM_WORLD,bs,m,n,M,N,0,nnz,0,onz,A))
293 PetscPolymorphicSubroutine(MatCreateMPIBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,Mat *A),(PETSC_COMM_WORLD,bs,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,A))
294 extern PetscErrorCode  MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
295 
296 extern PetscErrorCode  MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
297 extern PetscErrorCode  MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
298 PetscPolymorphicFunction(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[]),(PETSC_COMM_SELF,bs,m,n,nz,nnz,&A),Mat,A)
299 PetscPolymorphicFunction(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz),(PETSC_COMM_SELF,bs,m,n,nz,PETSC_NULL,&A),Mat,A)
300 PetscPolymorphicFunction(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,const PetscInt nnz[]),(PETSC_COMM_SELF,bs,m,n,0,nnz,&A),Mat,A)
301 PetscPolymorphicFunction(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n),(PETSC_COMM_SELF,bs,m,n,0,PETSC_NULL,&A),Mat,A)
302 PetscPolymorphicSubroutine(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,Mat *A),(PETSC_COMM_SELF,bs,m,n,nz,PETSC_NULL,A))
303 PetscPolymorphicSubroutine(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,const PetscInt nnz[],Mat *A),(PETSC_COMM_SELF,bs,m,n,0,nnz,A))
304 PetscPolymorphicSubroutine(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,Mat *A),(PETSC_COMM_SELF,bs,m,n,0,PETSC_NULL,A))
305 
306 extern PetscErrorCode  MatCreateMPISBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
307 PetscPolymorphicFunction(MatCreateMPISBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,const PetscInt nnz[],PetscInt onz,const PetscInt onnz[]),(comm,bs,m,n,M,N,nz,nnz,onz,onnz,&A),Mat,A)
308 PetscPolymorphicFunction(MatCreateMPISBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz),(comm,bs,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,&A),Mat,A)
309 PetscPolymorphicFunction(MatCreateMPISBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[]),(comm,bs,m,n,M,N,0,nnz,0,onz,&A),Mat,A)
310 PetscPolymorphicFunction(MatCreateMPISBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N),(comm,bs,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,&A),Mat,A)
311 PetscPolymorphicSubroutine(MatCreateMPISBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz,Mat *A),(comm,bs,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,A))
312 PetscPolymorphicSubroutine(MatCreateMPISBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[],Mat *A),(comm,bs,m,n,M,N,0,nnz,0,onz,A))
313 PetscPolymorphicSubroutine(MatCreateMPISBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,Mat *A),(comm,bs,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,A))
314 PetscPolymorphicFunction(MatCreateMPISBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,const PetscInt nnz[],PetscInt onz,const PetscInt onnz[]),(PETSC_COMM_WORLD,bs,m,n,M,N,nz,nnz,onz,onnz,&A),Mat,A)
315 PetscPolymorphicFunction(MatCreateMPISBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz),(PETSC_COMM_WORLD,bs,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,&A),Mat,A)
316 PetscPolymorphicFunction(MatCreateMPISBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[]),(PETSC_COMM_WORLD,bs,m,n,M,N,0,nnz,0,onz,&A),Mat,A)
317 PetscPolymorphicFunction(MatCreateMPISBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N),(PETSC_COMM_WORLD,bs,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,&A),Mat,A)
318 PetscPolymorphicSubroutine(MatCreateMPISBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz,Mat *A),(PETSC_COMM_WORLD,bs,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,A))
319 PetscPolymorphicSubroutine(MatCreateMPISBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[],Mat *A),(PETSC_COMM_WORLD,bs,m,n,M,N,0,nnz,0,onz,A))
320 PetscPolymorphicSubroutine(MatCreateMPISBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,Mat *A),(PETSC_COMM_WORLD,bs,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,A))
321 extern PetscErrorCode  MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
322 extern PetscErrorCode  MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
323 
324 extern PetscErrorCode  MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
325 PetscPolymorphicFunction(MatCreateShell,(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N,void *ctx),(comm,m,n,M,N,ctx,&A),Mat,A)
326 PetscPolymorphicFunction(MatCreateShell,(PetscInt m,PetscInt n,PetscInt M,PetscInt N,void *ctx),(PETSC_COMM_WORLD,m,n,M,N,ctx,&A),Mat,A)
327 extern PetscErrorCode  MatCreateAdic(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,void (*)(void),Mat*);
328 extern PetscErrorCode  MatCreateNormal(Mat,Mat*);
329 PetscPolymorphicFunction(MatCreateNormal,(Mat mat),(mat,&A),Mat,A)
330 extern PetscErrorCode  MatCreateLRC(Mat,Mat,Mat,Mat*);
331 extern PetscErrorCode  MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,Mat*);
332 extern PetscErrorCode  MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
333 extern PetscErrorCode  MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
334 
335 extern PetscErrorCode  MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
336 extern PetscErrorCode  MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
337 extern PetscErrorCode  MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
338 extern PetscErrorCode  MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
339 
340 extern PetscErrorCode  MatCreateScatter(MPI_Comm,VecScatter,Mat*);
341 extern PetscErrorCode  MatScatterSetVecScatter(Mat,VecScatter);
342 extern PetscErrorCode  MatScatterGetVecScatter(Mat,VecScatter*);
343 extern PetscErrorCode  MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
344 extern PetscErrorCode  MatCompositeAddMat(Mat,Mat);
345 extern PetscErrorCode  MatCompositeMerge(Mat);
346 extern PetscErrorCode  MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
347 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
348 extern PetscErrorCode  MatCompositeSetType(Mat,MatCompositeType);
349 
350 extern PetscErrorCode  MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],const MatType,Mat*);
351 extern PetscErrorCode  MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
352 
353 extern PetscErrorCode  MatCreateTranspose(Mat,Mat*);
354 extern PetscErrorCode  MatCreateSubMatrix(Mat,IS,IS,Mat*);
355 extern PetscErrorCode  MatSubMatrixUpdate(Mat,Mat,IS,IS);
356 extern PetscErrorCode  MatCreateLocalRef(Mat,IS,IS,Mat*);
357 
358 extern PetscErrorCode  MatPythonSetType(Mat,const char[]);
359 
360 extern PetscErrorCode  MatSetUp(Mat);
361 extern PetscErrorCode  MatDestroy(Mat*);
362 
363 extern PetscErrorCode  MatConjugate(Mat);
364 extern PetscErrorCode  MatRealPart(Mat);
365 extern PetscErrorCode  MatImaginaryPart(Mat);
366 extern PetscErrorCode  MatGetDiagonalBlock(Mat,Mat*);
367 extern PetscErrorCode  MatGetTrace(Mat,PetscScalar*);
368 
369 /* ------------------------------------------------------------*/
370 extern PetscErrorCode  MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
371 extern PetscErrorCode  MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
372 extern PetscErrorCode  MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
373 extern PetscErrorCode  MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
374 
375 /*S
376      MatStencil - Data structure (C struct) for storing information about a single row or
377         column of a matrix as index on an associated grid.
378 
379    Level: beginner
380 
381   Concepts: matrix; linear operator
382 
383 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockStencil()
384 S*/
385 typedef struct {
386   PetscInt k,j,i,c;
387 } MatStencil;
388 
389 extern PetscErrorCode  MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
390 extern PetscErrorCode  MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
391 extern PetscErrorCode  MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
392 
393 extern PetscErrorCode  MatSetColoring(Mat,ISColoring);
394 extern PetscErrorCode  MatSetValuesAdic(Mat,void*);
395 extern PetscErrorCode  MatSetValuesAdifor(Mat,PetscInt,void*);
396 
397 /*E
398     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
399      to continue to add values to it
400 
401     Level: beginner
402 
403 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
404 E*/
405 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
406 extern PetscErrorCode  MatAssemblyBegin(Mat,MatAssemblyType);
407 extern PetscErrorCode  MatAssemblyEnd(Mat,MatAssemblyType);
408 extern PetscErrorCode  MatAssembled(Mat,PetscBool *);
409 
410 
411 
412 /*E
413     MatOption - Options that may be set for a matrix and its behavior or storage
414 
415     Level: beginner
416 
417    Any additions/changes here MUST also be made in include/finclude/petscmat.h
418 
419 .seealso: MatSetOption()
420 E*/
421 typedef enum {MAT_ROW_ORIENTED,MAT_NEW_NONZERO_LOCATIONS,
422               MAT_SYMMETRIC,
423               MAT_STRUCTURALLY_SYMMETRIC,
424               MAT_NEW_DIAGONALS,MAT_IGNORE_OFF_PROC_ENTRIES,
425               MAT_NEW_NONZERO_LOCATION_ERR,
426               MAT_NEW_NONZERO_ALLOCATION_ERR,MAT_USE_HASH_TABLE,
427               MAT_KEEP_NONZERO_PATTERN,MAT_IGNORE_ZERO_ENTRIES,
428               MAT_USE_INODES,
429               MAT_HERMITIAN,
430               MAT_SYMMETRY_ETERNAL,
431               MAT_CHECK_COMPRESSED_ROW,
432               MAT_IGNORE_LOWER_TRIANGULAR,MAT_ERROR_LOWER_TRIANGULAR,
433               MAT_GETROW_UPPERTRIANGULAR,MAT_UNUSED_NONZERO_LOCATION_ERR,
434               MAT_SPD,MAT_NO_OFF_PROC_ENTRIES,MAT_NO_OFF_PROC_ZERO_ROWS,
435               NUM_MAT_OPTIONS} MatOption;
436 extern const char *MatOptions[];
437 extern PetscErrorCode  MatSetOption(Mat,MatOption,PetscBool );
438 extern PetscErrorCode  MatGetType(Mat,const MatType*);
439 PetscPolymorphicFunction(MatGetType,(Mat mat),(mat,&t),const MatType,t)
440 
441 extern PetscErrorCode  MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
442 extern PetscErrorCode  MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
443 extern PetscErrorCode  MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
444 extern PetscErrorCode  MatGetRowUpperTriangular(Mat);
445 extern PetscErrorCode  MatRestoreRowUpperTriangular(Mat);
446 extern PetscErrorCode  MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
447 extern PetscErrorCode  MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
448 extern PetscErrorCode  MatGetColumnVector(Mat,Vec,PetscInt);
449 extern PetscErrorCode  MatGetArray(Mat,PetscScalar *[]);
450 PetscPolymorphicFunction(MatGetArray,(Mat mat),(mat,&a),PetscScalar*,a)
451 extern PetscErrorCode  MatRestoreArray(Mat,PetscScalar *[]);
452 extern PetscErrorCode  MatGetBlockSize(Mat,PetscInt *);
453 PetscPolymorphicFunction(MatGetBlockSize,(Mat mat),(mat,&a),PetscInt,a)
454 extern PetscErrorCode  MatSetBlockSize(Mat,PetscInt);
455 
456 
457 extern PetscErrorCode  MatMult(Mat,Vec,Vec);
458 extern PetscErrorCode  MatMultDiagonalBlock(Mat,Vec,Vec);
459 extern PetscErrorCode  MatMultAdd(Mat,Vec,Vec,Vec);
460 PetscPolymorphicSubroutine(MatMultAdd,(Mat A,Vec x,Vec y),(A,x,y,y))
461 extern PetscErrorCode  MatMultTranspose(Mat,Vec,Vec);
462 extern PetscErrorCode  MatMultHermitianTranspose(Mat,Vec,Vec);
463 extern PetscErrorCode  MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
464 PetscPolymorphicFunction(MatIsTranspose,(Mat A,Mat B,PetscReal tol),(A,B,tol,&t),PetscBool ,t)
465 PetscPolymorphicFunction(MatIsTranspose,(Mat A,Mat B),(A,B,0,&t),PetscBool ,t)
466 extern PetscErrorCode  MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
467 extern PetscErrorCode  MatMultTransposeAdd(Mat,Vec,Vec,Vec);
468 extern PetscErrorCode  MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
469 PetscPolymorphicSubroutine(MatMultTransposeAdd,(Mat A,Vec x,Vec y),(A,x,y,y))
470 extern PetscErrorCode  MatMultConstrained(Mat,Vec,Vec);
471 extern PetscErrorCode  MatMultTransposeConstrained(Mat,Vec,Vec);
472 extern PetscErrorCode  MatMatSolve(Mat,Mat,Mat);
473 
474 /*E
475     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
476   its numerical values copied over or just its nonzero structure.
477 
478     Level: beginner
479 
480    Any additions/changes here MUST also be made in include/finclude/petscmat.h
481 
482 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
483 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
484 $                               have several matrices with the same nonzero pattern.
485 
486 .seealso: MatDuplicate()
487 E*/
488 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
489 
490 extern PetscErrorCode  MatConvert(Mat,const MatType,MatReuse,Mat*);
491 PetscPolymorphicFunction(MatConvert,(Mat A,const MatType t),(A,t,MAT_INITIAL_MATRIX,&a),Mat,a)
492 extern PetscErrorCode  MatDuplicate(Mat,MatDuplicateOption,Mat*);
493 PetscPolymorphicFunction(MatDuplicate,(Mat A,MatDuplicateOption o),(A,o,&a),Mat,a)
494 PetscPolymorphicFunction(MatDuplicate,(Mat A),(A,MAT_COPY_VALUES,&a),Mat,a)
495 
496 
497 extern PetscErrorCode  MatCopy(Mat,Mat,MatStructure);
498 extern PetscErrorCode  MatView(Mat,PetscViewer);
499 extern PetscErrorCode  MatIsSymmetric(Mat,PetscReal,PetscBool *);
500 PetscPolymorphicFunction(MatIsSymmetric,(Mat A,PetscReal tol),(A,tol,&t),PetscBool ,t)
501 PetscPolymorphicFunction(MatIsSymmetric,(Mat A),(A,0,&t),PetscBool ,t)
502 extern PetscErrorCode  MatIsStructurallySymmetric(Mat,PetscBool *);
503 PetscPolymorphicFunction(MatIsStructurallySymmetric,(Mat A),(A,&t),PetscBool ,t)
504 extern PetscErrorCode  MatIsHermitian(Mat,PetscReal,PetscBool *);
505 PetscPolymorphicFunction(MatIsHermitian,(Mat A),(A,0,&t),PetscBool ,t)
506 extern PetscErrorCode  MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
507 extern PetscErrorCode  MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
508 extern PetscErrorCode  MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
509 extern PetscErrorCode  MatLoad(Mat, PetscViewer);
510 
511 extern PetscErrorCode  MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,PetscInt *[],PetscInt *[],PetscBool  *);
512 extern PetscErrorCode  MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,PetscInt *[],PetscInt *[],PetscBool  *);
513 extern PetscErrorCode  MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,PetscInt *[],PetscInt *[],PetscBool  *);
514 extern PetscErrorCode  MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,PetscInt *[],PetscInt *[],PetscBool  *);
515 
516 /*S
517      MatInfo - Context of matrix information, used with MatGetInfo()
518 
519    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
520 
521    Level: intermediate
522 
523   Concepts: matrix^nonzero information
524 
525 .seealso:  MatGetInfo(), MatInfoType
526 S*/
527 typedef struct {
528   PetscLogDouble block_size;                         /* block size */
529   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
530   PetscLogDouble memory;                             /* memory allocated */
531   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
532   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
533   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
534   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
535 } MatInfo;
536 
537 /*E
538     MatInfoType - Indicates if you want information about the local part of the matrix,
539      the entire parallel matrix or the maximum over all the local parts.
540 
541     Level: beginner
542 
543    Any additions/changes here MUST also be made in include/finclude/petscmat.h
544 
545 .seealso: MatGetInfo(), MatInfo
546 E*/
547 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
548 extern PetscErrorCode  MatGetInfo(Mat,MatInfoType,MatInfo*);
549 extern PetscErrorCode  MatGetDiagonal(Mat,Vec);
550 extern PetscErrorCode  MatGetRowMax(Mat,Vec,PetscInt[]);
551 extern PetscErrorCode  MatGetRowMin(Mat,Vec,PetscInt[]);
552 extern PetscErrorCode  MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
553 extern PetscErrorCode  MatGetRowMinAbs(Mat,Vec,PetscInt[]);
554 extern PetscErrorCode  MatGetRowSum(Mat,Vec);
555 extern PetscErrorCode  MatTranspose(Mat,MatReuse,Mat*);
556 PetscPolymorphicFunction(MatTranspose,(Mat A),(A,MAT_INITIAL_MATRIX,&t),Mat,t)
557 extern PetscErrorCode  MatHermitianTranspose(Mat,MatReuse,Mat*);
558 extern PetscErrorCode  MatPermute(Mat,IS,IS,Mat *);
559 PetscPolymorphicFunction(MatPermute,(Mat A,IS is1,IS is2),(A,is1,is2,&t),Mat,t)
560 extern PetscErrorCode  MatDiagonalScale(Mat,Vec,Vec);
561 extern PetscErrorCode  MatDiagonalSet(Mat,Vec,InsertMode);
562 extern PetscErrorCode  MatEqual(Mat,Mat,PetscBool *);
563 PetscPolymorphicFunction(MatEqual,(Mat A,Mat B),(A,B,&t),PetscBool ,t)
564 extern PetscErrorCode  MatMultEqual(Mat,Mat,PetscInt,PetscBool *);
565 extern PetscErrorCode  MatMultAddEqual(Mat,Mat,PetscInt,PetscBool *);
566 extern PetscErrorCode  MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool *);
567 extern PetscErrorCode  MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool *);
568 
569 extern PetscErrorCode  MatNorm(Mat,NormType,PetscReal *);
570 PetscPolymorphicFunction(MatNorm,(Mat A,NormType t),(A,t,&n),PetscReal,n)
571 extern PetscErrorCode  MatGetColumnNorms(Mat,NormType,PetscReal *);
572 extern PetscErrorCode  MatZeroEntries(Mat);
573 extern PetscErrorCode  MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
574 extern PetscErrorCode  MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
575 extern PetscErrorCode  MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
576 extern PetscErrorCode  MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
577 extern PetscErrorCode  MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
578 
579 extern PetscErrorCode  MatUseScaledForm(Mat,PetscBool );
580 extern PetscErrorCode  MatScaleSystem(Mat,Vec,Vec);
581 extern PetscErrorCode  MatUnScaleSystem(Mat,Vec,Vec);
582 
583 extern PetscErrorCode  MatGetSize(Mat,PetscInt*,PetscInt*);
584 extern PetscErrorCode  MatGetLocalSize(Mat,PetscInt*,PetscInt*);
585 extern PetscErrorCode  MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
586 extern PetscErrorCode  MatGetOwnershipRanges(Mat,const PetscInt**);
587 extern PetscErrorCode  MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
588 extern PetscErrorCode  MatGetOwnershipRangesColumn(Mat,const PetscInt**);
589 
590 extern PetscErrorCode  MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
591 extern PetscErrorCode  MatGetSubMatricesParallel(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
592 extern PetscErrorCode  MatDestroyMatrices(PetscInt,Mat *[]);
593 extern PetscErrorCode  MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
594 extern PetscErrorCode  MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
595 extern PetscErrorCode  MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
596 extern PetscErrorCode  MatGetSeqNonzeroStructure(Mat,Mat*);
597 extern PetscErrorCode  MatDestroySeqNonzeroStructure(Mat*);
598 
599 extern PetscErrorCode  MatMerge(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
600 extern PetscErrorCode  MatMerge_SeqsToMPI(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
601 extern PetscErrorCode  MatMerge_SeqsToMPISymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
602 extern PetscErrorCode  MatMerge_SeqsToMPINumeric(Mat,Mat);
603 extern PetscErrorCode  MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
604 extern PetscErrorCode  MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
605 extern PetscErrorCode  MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,PetscInt*,Mat*);
606 extern PetscErrorCode  MatGetBrowsOfAoCols(Mat,Mat,MatReuse,PetscInt**,PetscInt**,MatScalar**,Mat*);
607 #if defined (PETSC_USE_CTABLE)
608 #include "petscctable.h"
609 extern PetscErrorCode  MatGetCommunicationStructs(Mat, Vec *, PetscTable *, VecScatter *);
610 #else
611 extern PetscErrorCode  MatGetCommunicationStructs(Mat, Vec *, PetscInt *[], VecScatter *);
612 #endif
613 extern PetscErrorCode  MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
614 
615 extern PetscErrorCode  MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
616 
617 extern PetscErrorCode  MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
618 extern PetscErrorCode  MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
619 extern PetscErrorCode  MatMatMultNumeric(Mat,Mat,Mat);
620 
621 extern PetscErrorCode  MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
622 extern PetscErrorCode  MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
623 extern PetscErrorCode  MatPtAPNumeric(Mat,Mat,Mat);
624 
625 extern PetscErrorCode  MatMatMultTranspose(Mat,Mat,MatReuse,PetscReal,Mat*);
626 extern PetscErrorCode  MatMatMultTransposeSymbolic(Mat,Mat,PetscReal,Mat*);
627 extern PetscErrorCode  MatMatMultTransposeNumeric(Mat,Mat,Mat);
628 
629 extern PetscErrorCode  MatAXPY(Mat,PetscScalar,Mat,MatStructure);
630 extern PetscErrorCode  MatAYPX(Mat,PetscScalar,Mat,MatStructure);
631 
632 extern PetscErrorCode  MatScale(Mat,PetscScalar);
633 extern PetscErrorCode  MatShift(Mat,PetscScalar);
634 
635 extern PetscErrorCode  MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
636 extern PetscErrorCode  MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
637 extern PetscErrorCode  MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
638 extern PetscErrorCode  MatGetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
639 extern PetscErrorCode  MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
640 extern PetscErrorCode  MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
641 extern PetscErrorCode  MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
642 extern PetscErrorCode  MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
643 extern PetscErrorCode  MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
644 extern PetscErrorCode  MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
645 
646 extern PetscErrorCode  MatStashSetInitialSize(Mat,PetscInt,PetscInt);
647 extern PetscErrorCode  MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
648 
649 extern PetscErrorCode  MatInterpolate(Mat,Vec,Vec);
650 extern PetscErrorCode  MatInterpolateAdd(Mat,Vec,Vec,Vec);
651 PetscPolymorphicSubroutine(MatInterpolateAdd,(Mat A,Vec x,Vec y),(A,x,y,y))
652 extern PetscErrorCode  MatRestrict(Mat,Vec,Vec);
653 extern PetscErrorCode  MatGetVecs(Mat,Vec*,Vec*);
654 extern PetscErrorCode  MatGetRedundantMatrix(Mat,PetscInt,MPI_Comm,PetscInt,MatReuse,Mat*);
655 extern PetscErrorCode  MatGetMultiProcBlock(Mat,MPI_Comm,Mat*);
656 extern PetscErrorCode  MatFindZeroDiagonals(Mat,IS*);
657 
658 /*MC
659    MatSetValue - Set a single entry into a matrix.
660 
661    Not collective
662 
663    Input Parameters:
664 +  m - the matrix
665 .  row - the row location of the entry
666 .  col - the column location of the entry
667 .  value - the value to insert
668 -  mode - either INSERT_VALUES or ADD_VALUES
669 
670    Notes:
671    For efficiency one should use MatSetValues() and set several or many
672    values simultaneously if possible.
673 
674    Level: beginner
675 
676 .seealso: MatSetValues(), MatSetValueLocal()
677 M*/
678 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
679 
680 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
681 
682 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
683 
684 /*MC
685    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
686        row in a matrix providing the data that one can use to correctly preallocate the matrix.
687 
688    Synopsis:
689    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
690 
691    Collective on MPI_Comm
692 
693    Input Parameters:
694 +  comm - the communicator that will share the eventually allocated matrix
695 .  nrows - the number of LOCAL rows in the matrix
696 -  ncols - the number of LOCAL columns in the matrix
697 
698    Output Parameters:
699 +  dnz - the array that will be passed to the matrix preallocation routines
700 -  ozn - the other array passed to the matrix preallocation routines
701 
702 
703    Level: intermediate
704 
705    Notes:
706     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
707 
708    Do not malloc or free dnz and onz, that is handled internally by these routines
709 
710    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
711 
712    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
713 
714   Concepts: preallocation^Matrix
715 
716 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
717           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
718 M*/
719 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
720 { \
721   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
722   _4_ierr = PetscMalloc2(__nrows,PetscInt,&dnz,__nrows,PetscInt,&onz);CHKERRQ(_4_ierr); \
723   _4_ierr = PetscMemzero(dnz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
724   _4_ierr = PetscMemzero(onz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
725   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
726   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
727 
728 /*MC
729    MatPreallocateSymmetricInitialize - Begins the block of code that will count the number of nonzeros per
730        row in a matrix providing the data that one can use to correctly preallocate the matrix.
731 
732    Synopsis:
733    PetscErrorCode MatPreallocateSymmetricInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
734 
735    Collective on MPI_Comm
736 
737    Input Parameters:
738 +  comm - the communicator that will share the eventually allocated matrix
739 .  nrows - the number of LOCAL rows in the matrix
740 -  ncols - the number of LOCAL columns in the matrix
741 
742    Output Parameters:
743 +  dnz - the array that will be passed to the matrix preallocation routines
744 -  ozn - the other array passed to the matrix preallocation routines
745 
746 
747    Level: intermediate
748 
749    Notes:
750     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
751 
752    Do not malloc or free dnz and onz, that is handled internally by these routines
753 
754    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
755 
756   Concepts: preallocation^Matrix
757 
758 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
759           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
760 M*/
761 #define MatPreallocateSymmetricInitialize(comm,nrows,ncols,dnz,onz) 0; \
762 { \
763   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__end; \
764   _4_ierr = PetscMalloc2(__nrows,PetscInt,&dnz,__nrows,PetscInt,&onz);CHKERRQ(_4_ierr); \
765   _4_ierr = PetscMemzero(dnz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
766   _4_ierr = PetscMemzero(onz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
767   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr);\
768   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
769 
770 /*MC
771    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
772        inserted using a local number of the rows and columns
773 
774    Synopsis:
775    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
776 
777    Not Collective
778 
779    Input Parameters:
780 +  map - the row mapping from local numbering to global numbering
781 .  nrows - the number of rows indicated
782 .  rows - the indices of the rows
783 .  cmap - the column mapping from local to global numbering
784 .  ncols - the number of columns in the matrix
785 .  cols - the columns indicated
786 .  dnz - the array that will be passed to the matrix preallocation routines
787 -  ozn - the other array passed to the matrix preallocation routines
788 
789 
790    Level: intermediate
791 
792    Notes:
793     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
794 
795    Do not malloc or free dnz and onz, that is handled internally by these routines
796 
797   Concepts: preallocation^Matrix
798 
799 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
800           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
801 M*/
802 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
803 {\
804   PetscInt __l;\
805   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
806   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
807   for (__l=0;__l<nrows;__l++) {\
808     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
809   }\
810 }
811 
812 /*MC
813    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
814        inserted using a local number of the rows and columns
815 
816    Synopsis:
817    PetscErrorCode MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
818 
819    Not Collective
820 
821    Input Parameters:
822 +  map - the mapping between local numbering and global numbering
823 .  nrows - the number of rows indicated
824 .  rows - the indices of the rows
825 .  ncols - the number of columns in the matrix
826 .  cols - the columns indicated
827 .  dnz - the array that will be passed to the matrix preallocation routines
828 -  ozn - the other array passed to the matrix preallocation routines
829 
830 
831    Level: intermediate
832 
833    Notes:
834     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
835 
836    Do not malloc or free dnz and onz that is handled internally by these routines
837 
838   Concepts: preallocation^Matrix
839 
840 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
841           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
842 M*/
843 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
844 {\
845   PetscInt __l;\
846   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
847   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
848   for (__l=0;__l<nrows;__l++) {\
849     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
850   }\
851 }
852 
853 /*MC
854    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
855        inserted using a local number of the rows and columns
856 
857    Synopsis:
858    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
859 
860    Not Collective
861 
862    Input Parameters:
863 +  row - the row
864 .  ncols - the number of columns in the matrix
865 -  cols - the columns indicated
866 
867    Output Parameters:
868 +  dnz - the array that will be passed to the matrix preallocation routines
869 -  ozn - the other array passed to the matrix preallocation routines
870 
871 
872    Level: intermediate
873 
874    Notes:
875     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
876 
877    Do not malloc or free dnz and onz that is handled internally by these routines
878 
879    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
880 
881   Concepts: preallocation^Matrix
882 
883 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
884           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
885 M*/
886 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
887 { PetscInt __i; \
888   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);\
889   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);\
890   for (__i=0; __i<nc; __i++) {\
891     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
892     else dnz[row - __rstart]++;\
893   }\
894 }
895 
896 /*MC
897    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
898        inserted using a local number of the rows and columns
899 
900    Synopsis:
901    PetscErrorCode MatPreallocateSymmetricSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
902 
903    Not Collective
904 
905    Input Parameters:
906 +  nrows - the number of rows indicated
907 .  rows - the indices of the rows
908 .  ncols - the number of columns in the matrix
909 .  cols - the columns indicated
910 .  dnz - the array that will be passed to the matrix preallocation routines
911 -  ozn - the other array passed to the matrix preallocation routines
912 
913 
914    Level: intermediate
915 
916    Notes:
917     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
918 
919    Do not malloc or free dnz and onz that is handled internally by these routines
920 
921    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
922 
923   Concepts: preallocation^Matrix
924 
925 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
926           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
927 M*/
928 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
929 { PetscInt __i; \
930   for (__i=0; __i<nc; __i++) {\
931     if (cols[__i] >= __end) onz[row - __rstart]++; \
932     else if (cols[__i] >= row) dnz[row - __rstart]++;\
933   }\
934 }
935 
936 /*MC
937    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
938 
939    Synopsis:
940    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
941 
942    Not Collective
943 
944    Input Parameters:
945 .  A - matrix
946 .  row - row where values exist (must be local to this process)
947 .  ncols - number of columns
948 .  cols - columns with nonzeros
949 .  dnz - the array that will be passed to the matrix preallocation routines
950 -  ozn - the other array passed to the matrix preallocation routines
951 
952 
953    Level: intermediate
954 
955    Notes:
956     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
957 
958    Do not malloc or free dnz and onz that is handled internally by these routines
959 
960    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
961 
962   Concepts: preallocation^Matrix
963 
964 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
965           MatPreallocateSymmetricInitialize(), MatPreallocateSymmetricSetLocal()
966 M*/
967 #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);}
968 
969 
970 /*MC
971    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
972        row in a matrix providing the data that one can use to correctly preallocate the matrix.
973 
974    Synopsis:
975    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
976 
977    Collective on MPI_Comm
978 
979    Input Parameters:
980 +  dnz - the array that was be passed to the matrix preallocation routines
981 -  ozn - the other array passed to the matrix preallocation routines
982 
983 
984    Level: intermediate
985 
986    Notes:
987     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
988 
989    Do not malloc or free dnz and onz that is handled internally by these routines
990 
991    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
992 
993   Concepts: preallocation^Matrix
994 
995 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
996           MatPreallocateSymmetricInitialize(), MatPreallocateSymmetricSetLocal()
997 M*/
998 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
999 
1000 
1001 
1002 /* Routines unique to particular data structures */
1003 extern PetscErrorCode  MatShellGetContext(Mat,void **);
1004 PetscPolymorphicFunction(MatShellGetContext,(Mat A),(A,&t),void*,t)
1005 
1006 extern PetscErrorCode  MatInodeAdjustForInodes(Mat,IS*,IS*);
1007 extern PetscErrorCode  MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1008 
1009 extern PetscErrorCode  MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1010 extern PetscErrorCode  MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1011 extern PetscErrorCode  MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1012 extern PetscErrorCode  MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1013 extern PetscErrorCode  MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1014 
1015 #define MAT_SKIP_ALLOCATION -4
1016 
1017 extern PetscErrorCode  MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1018 PetscPolymorphicSubroutine(MatSeqBAIJSetPreallocation,(Mat A,PetscInt bs,const PetscInt nnz[]),(A,bs,0,nnz))
1019 extern PetscErrorCode  MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1020 PetscPolymorphicSubroutine(MatSeqSBAIJSetPreallocation,(Mat A,PetscInt bs,const PetscInt nnz[]),(A,bs,0,nnz))
1021 extern PetscErrorCode  MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1022 PetscPolymorphicSubroutine(MatSeqAIJSetPreallocation,(Mat A,const PetscInt nnz[]),(A,0,nnz))
1023 
1024 extern PetscErrorCode  MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1025 PetscPolymorphicSubroutine(MatMPIBAIJSetPreallocation,(Mat A,PetscInt bs,const PetscInt nnz[],const PetscInt onz[]),(A,bs,0,nnz,0,onz))
1026 extern PetscErrorCode  MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1027 extern PetscErrorCode  MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1028 extern PetscErrorCode  MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1029 extern PetscErrorCode  MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1030 extern PetscErrorCode  MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1031 extern PetscErrorCode  MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1032 extern PetscErrorCode  MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1033 extern PetscErrorCode  MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1034 extern PetscErrorCode  MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1035 extern PetscErrorCode  MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,PetscInt*[]);
1036 extern PetscErrorCode  MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,PetscInt*[]);
1037 extern PetscErrorCode  MatAdicSetLocalFunction(Mat,void (*)(void));
1038 
1039 extern PetscErrorCode  MatSeqDenseSetLDA(Mat,PetscInt);
1040 extern PetscErrorCode  MatDenseGetLocalMatrix(Mat,Mat*);
1041 
1042 extern PetscErrorCode  MatStoreValues(Mat);
1043 extern PetscErrorCode  MatRetrieveValues(Mat);
1044 
1045 extern PetscErrorCode  MatDAADSetCtx(Mat,void*);
1046 
1047 extern PetscErrorCode  MatFindNonzeroRows(Mat,IS*);
1048 /*
1049   These routines are not usually accessed directly, rather solving is
1050   done through the KSP and PC interfaces.
1051 */
1052 
1053 /*E
1054     MatOrderingType - String with the name of a PETSc matrix ordering or the creation function
1055        with an optional dynamic library name, for example
1056        http://www.mcs.anl.gov/petsc/lib.a:orderingcreate()
1057 
1058    Level: beginner
1059 
1060    Cannot use const because the PC objects manipulate the string
1061 
1062 .seealso: MatGetOrdering()
1063 E*/
1064 #define MatOrderingType char*
1065 #define MATORDERINGNATURAL     "natural"
1066 #define MATORDERINGND          "nd"
1067 #define MATORDERING1WD         "1wd"
1068 #define MATORDERINGRCM         "rcm"
1069 #define MATORDERINGQMD         "qmd"
1070 #define MATORDERINGROWLENGTH   "rowlength"
1071 #define MATORDERINGDSC_ND      "dsc_nd"         /* these three are only for DSCPACK, see its documentation for details */
1072 #define MATORDERINGDSC_MMD     "dsc_mmd"
1073 #define MATORDERINGDSC_MDF     "dsc_mdf"
1074 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1075 
1076 extern PetscErrorCode  MatGetOrdering(Mat,const MatOrderingType,IS*,IS*);
1077 extern PetscErrorCode  MatGetOrderingList(PetscFList *list);
1078 extern PetscErrorCode  MatOrderingRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,const MatOrderingType,IS*,IS*));
1079 
1080 /*MC
1081    MatOrderingRegisterDynamic - Adds a new sparse matrix ordering to the matrix package.
1082 
1083    Synopsis:
1084    PetscErrorCode MatOrderingRegisterDynamic(const char *name_ordering,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatOrdering))
1085 
1086    Not Collective
1087 
1088    Input Parameters:
1089 +  sname - name of ordering (for example MATORDERINGND)
1090 .  path - location of library where creation routine is
1091 .  name - name of function that creates the ordering type,a string
1092 -  function - function pointer that creates the ordering
1093 
1094    Level: developer
1095 
1096    If dynamic libraries are used, then the fourth input argument (function)
1097    is ignored.
1098 
1099    Sample usage:
1100 .vb
1101    MatOrderingRegisterDynamic("my_order",/home/username/my_lib/lib/libO/solaris/mylib.a,
1102                "MyOrder",MyOrder);
1103 .ve
1104 
1105    Then, your partitioner can be chosen with the procedural interface via
1106 $     MatOrderingSetType(part,"my_order)
1107    or at runtime via the option
1108 $     -pc_factor_mat_ordering_type my_order
1109 
1110    ${PETSC_ARCH} occuring in pathname will be replaced with appropriate values.
1111 
1112 .keywords: matrix, ordering, register
1113 
1114 .seealso: MatOrderingRegisterDestroy(), MatOrderingRegisterAll()
1115 M*/
1116 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1117 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,0)
1118 #else
1119 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,d)
1120 #endif
1121 
1122 extern PetscErrorCode  MatOrderingRegisterDestroy(void);
1123 extern PetscErrorCode  MatOrderingRegisterAll(const char[]);
1124 extern PetscBool  MatOrderingRegisterAllCalled;
1125 extern PetscFList MatOrderingList;
1126 
1127 extern PetscErrorCode  MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1128 
1129 /*S
1130     MatFactorShiftType - Numeric Shift.
1131 
1132    Level: beginner
1133 
1134 S*/
1135 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1136 extern const char *MatFactorShiftTypes[];
1137 
1138 /*S
1139    MatFactorInfo - Data passed into the matrix factorization routines
1140 
1141    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1142 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1143 
1144    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1145 
1146       You can use MatFactorInfoInitialize() to set default values.
1147 
1148    Level: developer
1149 
1150 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1151           MatFactorInfoInitialize()
1152 
1153 S*/
1154 typedef struct {
1155   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1156   PetscReal     usedt;
1157   PetscReal     dt;             /* drop tolerance */
1158   PetscReal     dtcol;          /* tolerance for pivoting */
1159   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1160   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1161   PetscReal     levels;         /* ICC/ILU(levels) */
1162   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1163                                    factorization may be faster if do not pivot */
1164   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1165   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1166   PetscReal     shiftamount;     /* how large the shift is */
1167 } MatFactorInfo;
1168 
1169 extern PetscErrorCode  MatFactorInfoInitialize(MatFactorInfo*);
1170 extern PetscErrorCode  MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1171 extern PetscErrorCode  MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1172 extern PetscErrorCode  MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1173 extern PetscErrorCode  MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1174 extern PetscErrorCode  MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1175 extern PetscErrorCode  MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1176 extern PetscErrorCode  MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1177 extern PetscErrorCode  MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1178 extern PetscErrorCode  MatICCFactor(Mat,IS,const MatFactorInfo*);
1179 extern PetscErrorCode  MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1180 extern PetscErrorCode  MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1181 extern PetscErrorCode  MatSolve(Mat,Vec,Vec);
1182 extern PetscErrorCode  MatForwardSolve(Mat,Vec,Vec);
1183 extern PetscErrorCode  MatBackwardSolve(Mat,Vec,Vec);
1184 extern PetscErrorCode  MatSolveAdd(Mat,Vec,Vec,Vec);
1185 extern PetscErrorCode  MatSolveTranspose(Mat,Vec,Vec);
1186 extern PetscErrorCode  MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1187 extern PetscErrorCode  MatSolves(Mat,Vecs,Vecs);
1188 
1189 extern PetscErrorCode  MatSetUnfactored(Mat);
1190 
1191 /*E
1192     MatSORType - What type of (S)SOR to perform
1193 
1194     Level: beginner
1195 
1196    May be bitwise ORd together
1197 
1198    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1199 
1200    MatSORType may be bitwise ORd together, so do not change the numbers
1201 
1202 .seealso: MatSOR()
1203 E*/
1204 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1205               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1206               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1207               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1208 extern PetscErrorCode  MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1209 
1210 /*
1211     These routines are for efficiently computing Jacobians via finite differences.
1212 */
1213 
1214 /*E
1215     MatColoringType - String with the name of a PETSc matrix coloring or the creation function
1216        with an optional dynamic library name, for example
1217        http://www.mcs.anl.gov/petsc/lib.a:coloringcreate()
1218 
1219    Level: beginner
1220 
1221 .seealso: MatGetColoring()
1222 E*/
1223 #define MatColoringType char*
1224 #define MATCOLORINGNATURAL "natural"
1225 #define MATCOLORINGSL      "sl"
1226 #define MATCOLORINGLF      "lf"
1227 #define MATCOLORINGID      "id"
1228 
1229 extern PetscErrorCode  MatGetColoring(Mat,const MatColoringType,ISColoring*);
1230 extern PetscErrorCode  MatColoringRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,MatColoringType,ISColoring *));
1231 
1232 /*MC
1233    MatColoringRegisterDynamic - Adds a new sparse matrix coloring to the
1234                                matrix package.
1235 
1236    Synopsis:
1237    PetscErrorCode MatColoringRegisterDynamic(const char *name_coloring,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatColoring))
1238 
1239    Not Collective
1240 
1241    Input Parameters:
1242 +  sname - name of Coloring (for example MATCOLORINGSL)
1243 .  path - location of library where creation routine is
1244 .  name - name of function that creates the Coloring type, a string
1245 -  function - function pointer that creates the coloring
1246 
1247    Level: developer
1248 
1249    If dynamic libraries are used, then the fourth input argument (function)
1250    is ignored.
1251 
1252    Sample usage:
1253 .vb
1254    MatColoringRegisterDynamic("my_color",/home/username/my_lib/lib/libO/solaris/mylib.a,
1255                "MyColor",MyColor);
1256 .ve
1257 
1258    Then, your partitioner can be chosen with the procedural interface via
1259 $     MatColoringSetType(part,"my_color")
1260    or at runtime via the option
1261 $     -mat_coloring_type my_color
1262 
1263    $PETSC_ARCH occuring in pathname will be replaced with appropriate values.
1264 
1265 .keywords: matrix, Coloring, register
1266 
1267 .seealso: MatColoringRegisterDestroy(), MatColoringRegisterAll()
1268 M*/
1269 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1270 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,0)
1271 #else
1272 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,d)
1273 #endif
1274 
1275 extern PetscBool  MatColoringRegisterAllCalled;
1276 
1277 extern PetscErrorCode  MatColoringRegisterAll(const char[]);
1278 extern PetscErrorCode  MatColoringRegisterDestroy(void);
1279 extern PetscErrorCode  MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1280 
1281 /*S
1282      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1283         and coloring
1284 
1285    Level: beginner
1286 
1287   Concepts: coloring, sparse Jacobian, finite differences
1288 
1289 .seealso:  MatFDColoringCreate()
1290 S*/
1291 typedef struct _p_MatFDColoring* MatFDColoring;
1292 
1293 extern PetscErrorCode  MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1294 extern PetscErrorCode  MatFDColoringDestroy(MatFDColoring*);
1295 extern PetscErrorCode  MatFDColoringView(MatFDColoring,PetscViewer);
1296 extern PetscErrorCode  MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1297 extern PetscErrorCode  MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1298 extern PetscErrorCode  MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1299 extern PetscErrorCode  MatFDColoringSetFromOptions(MatFDColoring);
1300 extern PetscErrorCode  MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
1301 extern PetscErrorCode  MatFDColoringApplyTS(Mat,MatFDColoring,PetscReal,Vec,MatStructure*,void *);
1302 extern PetscErrorCode  MatFDColoringSetF(MatFDColoring,Vec);
1303 extern PetscErrorCode  MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1304 /*
1305     These routines are for partitioning matrices: currently used only
1306   for adjacency matrix, MatCreateMPIAdj().
1307 */
1308 
1309 /*S
1310      MatPartitioning - Object for managing the partitioning of a matrix or graph
1311 
1312    Level: beginner
1313 
1314   Concepts: partitioning
1315 
1316 .seealso:  MatPartitioningCreate(), MatPartitioningType
1317 S*/
1318 typedef struct _p_MatPartitioning* MatPartitioning;
1319 
1320 /*E
1321     MatPartitioningType - String with the name of a PETSc matrix partitioning or the creation function
1322        with an optional dynamic library name, for example
1323        http://www.mcs.anl.gov/petsc/lib.a:partitioningcreate()
1324 
1325    Level: beginner
1326 
1327 .seealso: MatPartitioningCreate(), MatPartitioning
1328 E*/
1329 #define MatPartitioningType char*
1330 #define MATPARTITIONINGCURRENT  "current"
1331 #define MATPARTITIONINGSQUARE   "square"
1332 #define MATPARTITIONINGPARMETIS "parmetis"
1333 #define MATPARTITIONINGCHACO    "chaco"
1334 #define MATPARTITIONINGJOSTLE   "jostle"
1335 #define MATPARTITIONINGPARTY    "party"
1336 #define MATPARTITIONINGSCOTCH   "scotch"
1337 
1338 
1339 extern PetscErrorCode  MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1340 extern PetscErrorCode  MatPartitioningSetType(MatPartitioning,const MatPartitioningType);
1341 extern PetscErrorCode  MatPartitioningSetNParts(MatPartitioning,PetscInt);
1342 extern PetscErrorCode  MatPartitioningSetAdjacency(MatPartitioning,Mat);
1343 extern PetscErrorCode  MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1344 extern PetscErrorCode  MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1345 extern PetscErrorCode  MatPartitioningApply(MatPartitioning,IS*);
1346 extern PetscErrorCode  MatPartitioningDestroy(MatPartitioning*);
1347 
1348 extern PetscErrorCode  MatPartitioningRegister(const char[],const char[],const char[],PetscErrorCode (*)(MatPartitioning));
1349 
1350 /*MC
1351    MatPartitioningRegisterDynamic - Adds a new sparse matrix partitioning to the
1352    matrix package.
1353 
1354    Synopsis:
1355    PetscErrorCode MatPartitioningRegisterDynamic(const char *name_partitioning,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatPartitioning))
1356 
1357    Not Collective
1358 
1359    Input Parameters:
1360 +  sname - name of partitioning (for example MATPARTITIONINGCURRENT) or parmetis
1361 .  path - location of library where creation routine is
1362 .  name - name of function that creates the partitioning type, a string
1363 -  function - function pointer that creates the partitioning type
1364 
1365    Level: developer
1366 
1367    If dynamic libraries are used, then the fourth input argument (function)
1368    is ignored.
1369 
1370    Sample usage:
1371 .vb
1372    MatPartitioningRegisterDynamic("my_part",/home/username/my_lib/lib/libO/solaris/mylib.a,
1373                "MyPartCreate",MyPartCreate);
1374 .ve
1375 
1376    Then, your partitioner can be chosen with the procedural interface via
1377 $     MatPartitioningSetType(part,"my_part")
1378    or at runtime via the option
1379 $     -mat_partitioning_type my_part
1380 
1381    $PETSC_ARCH occuring in pathname will be replaced with appropriate values.
1382 
1383 .keywords: matrix, partitioning, register
1384 
1385 .seealso: MatPartitioningRegisterDestroy(), MatPartitioningRegisterAll()
1386 M*/
1387 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1388 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,0)
1389 #else
1390 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,d)
1391 #endif
1392 
1393 extern PetscBool  MatPartitioningRegisterAllCalled;
1394 
1395 extern PetscErrorCode  MatPartitioningRegisterAll(const char[]);
1396 extern PetscErrorCode  MatPartitioningRegisterDestroy(void);
1397 
1398 extern PetscErrorCode  MatPartitioningView(MatPartitioning,PetscViewer);
1399 extern PetscErrorCode  MatPartitioningSetFromOptions(MatPartitioning);
1400 extern PetscErrorCode  MatPartitioningGetType(MatPartitioning,const MatPartitioningType*);
1401 
1402 extern PetscErrorCode  MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1403 extern PetscErrorCode  MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1404 
1405 extern PetscErrorCode  MatPartitioningJostleSetCoarseLevel(MatPartitioning,PetscReal);
1406 extern PetscErrorCode  MatPartitioningJostleSetCoarseSequential(MatPartitioning);
1407 
1408 typedef enum {MP_CHACO_MULTILEVEL_KL,MP_CHACO_SPECTRAL,MP_CHACO_LINEAR,MP_CHACO_RANDOM, MP_CHACO_SCATTERED} MPChacoGlobalType;
1409 extern PetscErrorCode  MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1410 typedef enum { MP_CHACO_KERNIGHAN_LIN, MP_CHACO_NONE } MPChacoLocalType;
1411 extern PetscErrorCode  MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1412 extern PetscErrorCode  MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1413 typedef enum { MP_CHACO_LANCZOS, MP_CHACO_RQI_SYMMLQ } MPChacoEigenType;
1414 extern PetscErrorCode  MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1415 extern PetscErrorCode  MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1416 extern PetscErrorCode  MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1417 
1418 #define MP_PARTY_OPT "opt"
1419 #define MP_PARTY_LIN "lin"
1420 #define MP_PARTY_SCA "sca"
1421 #define MP_PARTY_RAN "ran"
1422 #define MP_PARTY_GBF "gbf"
1423 #define MP_PARTY_GCF "gcf"
1424 #define MP_PARTY_BUB "bub"
1425 #define MP_PARTY_DEF "def"
1426 extern PetscErrorCode  MatPartitioningPartySetGlobal(MatPartitioning, const char*);
1427 #define MP_PARTY_HELPFUL_SETS "hs"
1428 #define MP_PARTY_KERNIGHAN_LIN "kl"
1429 #define MP_PARTY_NONE "no"
1430 extern PetscErrorCode  MatPartitioningPartySetLocal(MatPartitioning, const char*);
1431 extern PetscErrorCode  MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1432 extern PetscErrorCode  MatPartitioningPartySetBipart(MatPartitioning,PetscBool );
1433 extern PetscErrorCode  MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool );
1434 
1435 typedef enum { MP_SCOTCH_GREEDY, MP_SCOTCH_GPS, MP_SCOTCH_GR_GPS } MPScotchGlobalType;
1436 extern PetscErrorCode  MatPartitioningScotchSetArch(MatPartitioning,const char*);
1437 extern PetscErrorCode  MatPartitioningScotchSetMultilevel(MatPartitioning);
1438 extern PetscErrorCode  MatPartitioningScotchSetGlobal(MatPartitioning,MPScotchGlobalType);
1439 extern PetscErrorCode  MatPartitioningScotchSetCoarseLevel(MatPartitioning,PetscReal);
1440 extern PetscErrorCode  MatPartitioningScotchSetHostList(MatPartitioning,const char*);
1441 typedef enum { MP_SCOTCH_KERNIGHAN_LIN, MP_SCOTCH_NONE } MPScotchLocalType;
1442 extern PetscErrorCode  MatPartitioningScotchSetLocal(MatPartitioning,MPScotchLocalType);
1443 extern PetscErrorCode  MatPartitioningScotchSetMapping(MatPartitioning);
1444 extern PetscErrorCode  MatPartitioningScotchSetStrategy(MatPartitioning,char*);
1445 
1446 extern PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1447 extern PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1448 
1449 /*
1450     If you add entries here you must also add them to finclude/petscmat.h
1451 */
1452 typedef enum { MATOP_SET_VALUES=0,
1453                MATOP_GET_ROW=1,
1454                MATOP_RESTORE_ROW=2,
1455                MATOP_MULT=3,
1456                MATOP_MULT_ADD=4,
1457                MATOP_MULT_TRANSPOSE=5,
1458                MATOP_MULT_TRANSPOSE_ADD=6,
1459                MATOP_SOLVE=7,
1460                MATOP_SOLVE_ADD=8,
1461                MATOP_SOLVE_TRANSPOSE=9,
1462                MATOP_SOLVE_TRANSPOSE_ADD=10,
1463                MATOP_LUFACTOR=11,
1464                MATOP_CHOLESKYFACTOR=12,
1465                MATOP_SOR=13,
1466                MATOP_TRANSPOSE=14,
1467                MATOP_GETINFO=15,
1468                MATOP_EQUAL=16,
1469                MATOP_GET_DIAGONAL=17,
1470                MATOP_DIAGONAL_SCALE=18,
1471                MATOP_NORM=19,
1472                MATOP_ASSEMBLY_BEGIN=20,
1473                MATOP_ASSEMBLY_END=21,
1474                MATOP_SET_OPTION=22,
1475                MATOP_ZERO_ENTRIES=23,
1476                MATOP_ZERO_ROWS=24,
1477                MATOP_LUFACTOR_SYMBOLIC=25,
1478                MATOP_LUFACTOR_NUMERIC=26,
1479                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1480                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1481                MATOP_SETUP_PREALLOCATION=29,
1482                MATOP_ILUFACTOR_SYMBOLIC=30,
1483                MATOP_ICCFACTOR_SYMBOLIC=31,
1484                MATOP_GET_ARRAY=32,
1485                MATOP_RESTORE_ARRAY=33,
1486                MATOP_DUPLICATE=34,
1487                MATOP_FORWARD_SOLVE=35,
1488                MATOP_BACKWARD_SOLVE=36,
1489                MATOP_ILUFACTOR=37,
1490                MATOP_ICCFACTOR=38,
1491                MATOP_AXPY=39,
1492                MATOP_GET_SUBMATRICES=40,
1493                MATOP_INCREASE_OVERLAP=41,
1494                MATOP_GET_VALUES=42,
1495                MATOP_COPY=43,
1496                MATOP_GET_ROW_MAX=44,
1497                MATOP_SCALE=45,
1498                MATOP_SHIFT=46,
1499                MATOP_DIAGONAL_SET=47,
1500                MATOP_ILUDT_FACTOR=48,
1501                MATOP_SET_BLOCK_SIZE=49,
1502                MATOP_GET_ROW_IJ=50,
1503                MATOP_RESTORE_ROW_IJ=51,
1504                MATOP_GET_COLUMN_IJ=52,
1505                MATOP_RESTORE_COLUMN_IJ=53,
1506                MATOP_FDCOLORING_CREATE=54,
1507                MATOP_COLORING_PATCH=55,
1508                MATOP_SET_UNFACTORED=56,
1509                MATOP_PERMUTE=57,
1510                MATOP_SET_VALUES_BLOCKED=58,
1511                MATOP_GET_SUBMATRIX=59,
1512                MATOP_DESTROY=60,
1513                MATOP_VIEW=61,
1514                MATOP_CONVERT_FROM=62,
1515                MATOP_USE_SCALED_FORM=63,
1516                MATOP_SCALE_SYSTEM=64,
1517                MATOP_UNSCALE_SYSTEM=65,
1518                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1519                MATOP_SET_VALUES_LOCAL=67,
1520                MATOP_ZERO_ROWS_LOCAL=68,
1521                MATOP_GET_ROW_MAX_ABS=69,
1522                MATOP_GET_ROW_MIN_ABS=70,
1523                MATOP_CONVERT=71,
1524                MATOP_SET_COLORING=72,
1525                MATOP_SET_VALUES_ADIC=73,
1526                MATOP_SET_VALUES_ADIFOR=74,
1527                MATOP_FD_COLORING_APPLY=75,
1528                MATOP_SET_FROM_OPTIONS=76,
1529                MATOP_MULT_CON=77,
1530                MATOP_MULT_TRANSPOSE_CON=78,
1531                MATOP_PERMUTE_SPARSIFY=79,
1532                MATOP_MULT_MULTIPLE=80,
1533                MATOP_SOLVE_MULTIPLE=81,
1534                MATOP_GET_INERTIA=82,
1535                MATOP_LOAD=83,
1536                MATOP_IS_SYMMETRIC=84,
1537                MATOP_IS_HERMITIAN=85,
1538                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1539                MATOP_DUMMY=87,
1540                MATOP_GET_VECS=88,
1541                MATOP_MAT_MULT=89,
1542                MATOP_MAT_MULT_SYMBOLIC=90,
1543                MATOP_MAT_MULT_NUMERIC=91,
1544                MATOP_PTAP=92,
1545                MATOP_PTAP_SYMBOLIC=93,
1546                MATOP_PTAP_NUMERIC=94,
1547                MATOP_MAT_MULTTRANSPOSE=95,
1548                MATOP_MAT_MULTTRANSPOSE_SYM=96,
1549                MATOP_MAT_MULTTRANSPOSE_NUM=97,
1550                MATOP_PTAP_SYMBOLIC_SEQAIJ=98,
1551                MATOP_PTAP_NUMERIC_SEQAIJ=99,
1552                MATOP_PTAP_SYMBOLIC_MPIAIJ=100,
1553                MATOP_PTAP_NUMERIC_MPIAIJ=101,
1554                MATOP_CONJUGATE=102,
1555                MATOP_SET_SIZES=103,
1556                MATOP_SET_VALUES_ROW=104,
1557                MATOP_REAL_PART=105,
1558                MATOP_IMAG_PART=106,
1559                MATOP_GET_ROW_UTRIANGULAR=107,
1560                MATOP_RESTORE_ROW_UTRIANGULAR=108,
1561                MATOP_MATSOLVE=109,
1562                MATOP_GET_REDUNDANTMATRIX=110,
1563                MATOP_GET_ROW_MIN=111,
1564                MATOP_GET_COLUMN_VEC=112,
1565                MATOP_MISSING_DIAGONAL=113,
1566                MATOP_MATGETSEQNONZEROSTRUCTURE=114,
1567                MATOP_CREATE=115,
1568                MATOP_GET_GHOSTS=116,
1569                MATOP_GET_LOCALSUBMATRIX=117,
1570                MATOP_RESTORE_LOCALSUBMATRIX=118,
1571                MATOP_MULT_DIAGONAL_BLOCK=119,
1572                MATOP_HERMITIANTRANSPOSE=120,
1573                MATOP_MULTHERMITIANTRANSPOSE=121,
1574                MATOP_MULTHERMITIANTRANSPOSEADD=122,
1575                MATOP_GETMULTIPROCBLOCK=123,
1576                MATOP_GETCOLUMNNORMS=125,
1577 	       MATOP_GET_SUBMATRICES_PARALLEL=128
1578              } MatOperation;
1579 extern PetscErrorCode  MatHasOperation(Mat,MatOperation,PetscBool *);
1580 extern PetscErrorCode  MatShellSetOperation(Mat,MatOperation,void(*)(void));
1581 extern PetscErrorCode  MatShellGetOperation(Mat,MatOperation,void(**)(void));
1582 extern PetscErrorCode  MatShellSetContext(Mat,void*);
1583 
1584 /*
1585    Codes for matrices stored on disk. By default they are
1586    stored in a universal format. By changing the format with
1587    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1588    be stored in a way natural for the matrix, for example dense matrices
1589    would be stored as dense. Matrices stored this way may only be
1590    read into matrices of the same type.
1591 */
1592 #define MATRIX_BINARY_FORMAT_DENSE -1
1593 
1594 extern PetscErrorCode  MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1595 extern PetscErrorCode  MatISGetLocalMat(Mat,Mat*);
1596 
1597 /*S
1598      MatNullSpace - Object that removes a null space from a vector, i.e.
1599          orthogonalizes the vector to a subsapce
1600 
1601    Level: advanced
1602 
1603   Concepts: matrix; linear operator, null space
1604 
1605   Users manual sections:
1606 .   sec_singular
1607 
1608 .seealso:  MatNullSpaceCreate()
1609 S*/
1610 typedef struct _p_MatNullSpace* MatNullSpace;
1611 
1612 extern PetscErrorCode  MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1613 extern PetscErrorCode  MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1614 extern PetscErrorCode  MatNullSpaceDestroy(MatNullSpace*);
1615 extern PetscErrorCode  MatNullSpaceRemove(MatNullSpace,Vec,Vec*);
1616 extern PetscErrorCode  MatNullSpaceAttach(Mat,MatNullSpace);
1617 extern PetscErrorCode  MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1618 extern PetscErrorCode  MatNullSpaceView(MatNullSpace,PetscViewer);
1619 
1620 extern PetscErrorCode  MatReorderingSeqSBAIJ(Mat,IS);
1621 extern PetscErrorCode  MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1622 extern PetscErrorCode  MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1623 extern PetscErrorCode  MatSeqBAIJInvertBlockDiagonal(Mat);
1624 
1625 extern PetscErrorCode  MatCreateMAIJ(Mat,PetscInt,Mat*);
1626 extern PetscErrorCode  MatMAIJRedimension(Mat,PetscInt,Mat*);
1627 extern PetscErrorCode  MatMAIJGetAIJ(Mat,Mat*);
1628 
1629 extern PetscErrorCode  MatComputeExplicitOperator(Mat,Mat*);
1630 
1631 extern PetscErrorCode  MatDiagonalScaleLocal(Mat,Vec);
1632 
1633 extern PetscErrorCode  MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1634 extern PetscErrorCode  MatMFFDSetBase(Mat,Vec,Vec);
1635 extern PetscErrorCode  MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1636 extern PetscErrorCode  MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1637 extern PetscErrorCode  MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1638 extern PetscErrorCode  MatMFFDAddNullSpace(Mat,MatNullSpace);
1639 extern PetscErrorCode  MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1640 extern PetscErrorCode  MatMFFDResetHHistory(Mat);
1641 extern PetscErrorCode  MatMFFDSetFunctionError(Mat,PetscReal);
1642 extern PetscErrorCode  MatMFFDSetPeriod(Mat,PetscInt);
1643 extern PetscErrorCode  MatMFFDGetH(Mat,PetscScalar *);
1644 extern PetscErrorCode  MatMFFDSetOptionsPrefix(Mat,const char[]);
1645 extern PetscErrorCode  MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1646 extern PetscErrorCode  MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1647 
1648 /*S
1649     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1650               Jacobian vector products
1651 
1652     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1653 
1654            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1655 
1656     Level: developer
1657 
1658 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1659 S*/
1660 typedef struct _p_MatMFFD* MatMFFD;
1661 
1662 /*E
1663     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1664 
1665    Level: beginner
1666 
1667 .seealso: MatMFFDSetType(), MatMFFDRegister()
1668 E*/
1669 #define MatMFFDType char*
1670 #define MATMFFD_DS  "ds"
1671 #define MATMFFD_WP  "wp"
1672 
1673 extern PetscErrorCode  MatMFFDSetType(Mat,const MatMFFDType);
1674 extern PetscErrorCode  MatMFFDRegister(const char[],const char[],const char[],PetscErrorCode (*)(MatMFFD));
1675 
1676 /*MC
1677    MatMFFDRegisterDynamic - Adds a method to the MatMFFD registry.
1678 
1679    Synopsis:
1680    PetscErrorCode MatMFFDRegisterDynamic(const char *name_solver,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatMFFD))
1681 
1682    Not Collective
1683 
1684    Input Parameters:
1685 +  name_solver - name of a new user-defined compute-h module
1686 .  path - path (either absolute or relative) the library containing this solver
1687 .  name_create - name of routine to create method context
1688 -  routine_create - routine to create method context
1689 
1690    Level: developer
1691 
1692    Notes:
1693    MatMFFDRegisterDynamic() may be called multiple times to add several user-defined solvers.
1694 
1695    If dynamic libraries are used, then the fourth input argument (routine_create)
1696    is ignored.
1697 
1698    Sample usage:
1699 .vb
1700    MatMFFDRegisterDynamic("my_h",/home/username/my_lib/lib/libO/solaris/mylib.a,
1701                "MyHCreate",MyHCreate);
1702 .ve
1703 
1704    Then, your solver can be chosen with the procedural interface via
1705 $     MatMFFDSetType(mfctx,"my_h")
1706    or at runtime via the option
1707 $     -snes_mf_type my_h
1708 
1709 .keywords: MatMFFD, register
1710 
1711 .seealso: MatMFFDRegisterAll(), MatMFFDRegisterDestroy()
1712 M*/
1713 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1714 #define MatMFFDRegisterDynamic(a,b,c,d) MatMFFDRegister(a,b,c,0)
1715 #else
1716 #define MatMFFDRegisterDynamic(a,b,c,d) MatMFFDRegister(a,b,c,d)
1717 #endif
1718 
1719 extern PetscErrorCode  MatMFFDRegisterAll(const char[]);
1720 extern PetscErrorCode  MatMFFDRegisterDestroy(void);
1721 extern PetscErrorCode  MatMFFDDSSetUmin(Mat,PetscReal);
1722 extern PetscErrorCode  MatMFFDWPSetComputeNormU(Mat,PetscBool );
1723 
1724 
1725 extern PetscErrorCode  PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1726 extern PetscErrorCode  PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1727 
1728 /*
1729    PETSc interface to MUMPS
1730 */
1731 #ifdef PETSC_HAVE_MUMPS
1732 extern PetscErrorCode  MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1733 #endif
1734 
1735 /*
1736    PETSc interface to SUPERLU
1737 */
1738 #ifdef PETSC_HAVE_SUPERLU
1739 extern PetscErrorCode  MatSuperluSetILUDropTol(Mat,PetscReal);
1740 #endif
1741 
1742 extern PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1743 extern PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1744 extern PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1745 extern PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1746 extern PetscErrorCode MatNestSetVecType(Mat,const VecType);
1747 extern PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1748 
1749 PETSC_EXTERN_CXX_END
1750 #endif
1751