xref: /petsc/include/petscmat.h (revision a5b82c69bcc640643a79966de633db94f563635f)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #ifndef __PETSCMAT_H
5 #define __PETSCMAT_H
6 #include "petscvec.h"
7 PETSC_EXTERN_CXX_BEGIN
8 
9 /*S
10      Mat - Abstract PETSc matrix object
11 
12    Level: beginner
13 
14   Concepts: matrix; linear operator
15 
16 .seealso:  MatCreate(), MatType, MatSetType()
17 S*/
18 typedef struct _p_Mat*           Mat;
19 
20 /*E
21     MatType - String with the name of a PETSc matrix or the creation function
22        with an optional dynamic library name, for example
23        http://www.mcs.anl.gov/petsc/lib.a:mymatcreate()
24 
25    Level: beginner
26 
27 .seealso: MatSetType(), Mat, MatSolverPackage
28 E*/
29 #define MatType char*
30 #define MATSAME            "same"
31 #define MATMAIJ            "maij"
32 #define MATSEQMAIJ         "seqmaij"
33 #define MATMPIMAIJ         "mpimaij"
34 #define MATIS              "is"
35 #define MATAIJ             "aij"
36 #define MATSEQAIJ          "seqaij"
37 #define MATMPIAIJ          "mpiaij"
38 #define MATAIJCRL          "aijcrl"
39 #define MATSEQAIJCRL       "seqaijcrl"
40 #define MATMPIAIJCRL       "mpiaijcrl"
41 #define MATAIJCUSP         "aijcusp"
42 #define MATSEQAIJCUSP      "seqaijcusp"
43 #define MATMPIAIJCUSP      "mpiaijcusp"
44 #define MATAIJPERM         "aijperm"
45 #define MATSEQAIJPERM      "seqaijperm"
46 #define MATMPIAIJPERM      "mpiaijperm"
47 #define MATSHELL           "shell"
48 #define MATDENSE           "dense"
49 #define MATSEQDENSE        "seqdense"
50 #define MATMPIDENSE        "mpidense"
51 #define MATBAIJ            "baij"
52 #define MATSEQBAIJ         "seqbaij"
53 #define MATMPIBAIJ         "mpibaij"
54 #define MATMPIADJ          "mpiadj"
55 #define MATSBAIJ           "sbaij"
56 #define MATSEQSBAIJ        "seqsbaij"
57 #define MATMPISBAIJ        "mpisbaij"
58 
59 #define MATSEQBSTRM        "seqbstrm"
60 #define MATMPIBSTRM        "mpibstrm"
61 #define MATBSTRM           "bstrm"
62 #define MATSEQSBSTRM       "seqsbstrm"
63 #define MATMPISBSTRM       "mpisbstrm"
64 #define MATSBSTRM          "sbstrm"
65 
66 #define MATDAAD            "daad"
67 #define MATMFFD            "mffd"
68 #define MATNORMAL          "normal"
69 #define MATLRC             "lrc"
70 #define MATSCATTER         "scatter"
71 #define MATBLOCKMAT        "blockmat"
72 #define MATCOMPOSITE       "composite"
73 #define MATFFT             "fft"
74 #define MATFFTW            "fftw"
75 #define MATSEQCUFFT        "seqcufft"
76 #define MATTRANSPOSEMAT    "transpose"
77 #define MATSCHURCOMPLEMENT "schurcomplement"
78 #define MATPYTHON          "python"
79 #define MATHYPRESTRUCT     "hyprestruct"
80 #define MATHYPRESSTRUCT    "hypresstruct"
81 #define MATSUBMATRIX       "submatrix"
82 #define MATLOCALREF        "localref"
83 #define MATNEST            "nest"
84 
85 /*E
86     MatSolverPackage - String with the name of a PETSc matrix solver type.
87 
88     For example: "petsc" indicates what PETSc provides, "superlu" indicates either
89        SuperLU or SuperLU_Dist etc.
90 
91 
92    Level: beginner
93 
94 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
95 E*/
96 #define MatSolverPackage char*
97 #define MATSOLVERSPOOLES      "spooles"
98 #define MATSOLVERSUPERLU      "superlu"
99 #define MATSOLVERSUPERLU_DIST "superlu_dist"
100 #define MATSOLVERUMFPACK      "umfpack"
101 #define MATSOLVERCHOLMOD      "cholmod"
102 #define MATSOLVERESSL         "essl"
103 #define MATSOLVERLUSOL        "lusol"
104 #define MATSOLVERMUMPS        "mumps"
105 #define MATSOLVERPASTIX       "pastix"
106 #define MATSOLVERDSCPACK      "dscpack"
107 #define MATSOLVERMATLAB       "matlab"
108 #define MATSOLVERPETSC        "petsc"
109 #define MATSOLVERPLAPACK      "plapack"
110 #define MATSOLVERBAS          "bas"
111 
112 #define MATSOLVERBSTRM        "bstrm"
113 #define MATSOLVERSBSTRM       "sbstrm"
114 
115 /*E
116     MatFactorType - indicates what type of factorization is requested
117 
118     Level: beginner
119 
120    Any additions/changes here MUST also be made in include/finclude/petscmat.h
121 
122 .seealso: MatSolverPackage, MatGetFactor()
123 E*/
124 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
125 extern const char *const MatFactorTypes[];
126 
127 extern PetscErrorCode  MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
128 extern PetscErrorCode  MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
129 extern PetscErrorCode  MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
130 extern PetscErrorCode  MatGetFactorType(Mat,MatFactorType*);
131 
132 /* Logging support */
133 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
134 extern PetscClassId  MAT_CLASSID;
135 extern PetscClassId  MAT_FDCOLORING_CLASSID;
136 extern PetscClassId  MAT_PARTITIONING_CLASSID;
137 extern PetscClassId  MAT_NULLSPACE_CLASSID;
138 extern PetscClassId  MATMFFD_CLASSID;
139 
140 /*E
141     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
142      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
143      that the input matrix is to be replaced with the converted matrix.
144 
145     Level: beginner
146 
147    Any additions/changes here MUST also be made in include/finclude/petscmat.h
148 
149 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
150 E*/
151 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX} MatReuse;
152 
153 /*E
154     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
155      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
156 
157     Level: beginner
158 
159 .seealso: MatGetSeqNonzerostructure()
160 E*/
161 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
162 
163 extern PetscErrorCode  MatInitializePackage(const char[]);
164 
165 extern PetscErrorCode  MatCreate(MPI_Comm,Mat*);
166 PetscPolymorphicFunction(MatCreate,(MPI_Comm comm),(comm,&A),Mat,A)
167 PetscPolymorphicFunction(MatCreate,(),(PETSC_COMM_WORLD,&A),Mat,A)
168 extern PetscErrorCode  MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
169 extern PetscErrorCode  MatSetType(Mat,const MatType);
170 extern PetscErrorCode  MatSetFromOptions(Mat);
171 extern PetscErrorCode  MatSetUpPreallocation(Mat);
172 extern PetscErrorCode  MatRegisterAll(const char[]);
173 extern PetscErrorCode  MatRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat));
174 extern PetscErrorCode  MatRegisterBaseName(const char[],const char[],const char[]);
175 extern PetscErrorCode  MatSetOptionsPrefix(Mat,const char[]);
176 extern PetscErrorCode  MatAppendOptionsPrefix(Mat,const char[]);
177 extern PetscErrorCode  MatGetOptionsPrefix(Mat,const char*[]);
178 
179 /*MC
180    MatRegisterDynamic - Adds a new matrix type
181 
182    Synopsis:
183    PetscErrorCode MatRegisterDynamic(const char *name,const char *path,const char *name_create,PetscErrorCode (*routine_create)(Mat))
184 
185    Not Collective
186 
187    Input Parameters:
188 +  name - name of a new user-defined matrix type
189 .  path - path (either absolute or relative) the library containing this solver
190 .  name_create - name of routine to create method context
191 -  routine_create - routine to create method context
192 
193    Notes:
194    MatRegisterDynamic() may be called multiple times to add several user-defined solvers.
195 
196    If dynamic libraries are used, then the fourth input argument (routine_create)
197    is ignored.
198 
199    Sample usage:
200 .vb
201    MatRegisterDynamic("my_mat",/home/username/my_lib/lib/libO/solaris/mylib.a,
202                "MyMatCreate",MyMatCreate);
203 .ve
204 
205    Then, your solver can be chosen with the procedural interface via
206 $     MatSetType(Mat,"my_mat")
207    or at runtime via the option
208 $     -mat_type my_mat
209 
210    Level: advanced
211 
212    Notes: ${PETSC_ARCH} occuring in pathname will be replaced with appropriate values.
213          If your function is not being put into a shared library then use VecRegister() instead
214 
215 .keywords: Mat, register
216 
217 .seealso: MatRegisterAll(), MatRegisterDestroy()
218 
219 M*/
220 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
221 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,0)
222 #else
223 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,d)
224 #endif
225 
226 extern PetscBool  MatRegisterAllCalled;
227 extern PetscFList MatList;
228 extern PetscFList MatColoringList;
229 extern PetscFList MatPartitioningList;
230 
231 /*E
232     MatStructure - Indicates if the matrix has the same nonzero structure
233 
234     Level: beginner
235 
236    Any additions/changes here MUST also be made in include/finclude/petscmat.h
237 
238 .seealso: MatCopy(), KSPSetOperators(), PCSetOperators()
239 E*/
240 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN,SAME_PRECONDITIONER} MatStructure;
241 
242 extern PetscErrorCode  MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
243 extern PetscErrorCode  MatCreateMPIDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
244 extern PetscErrorCode  MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
245 PetscPolymorphicFunction(MatCreateSeqAIJ,(PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[]),(PETSC_COMM_SELF,m,n,nz,nnz,&A),Mat,A)
246 PetscPolymorphicFunction(MatCreateSeqAIJ,(PetscInt m,PetscInt n,PetscInt nz),(PETSC_COMM_SELF,m,n,nz,PETSC_NULL,&A),Mat,A)
247 PetscPolymorphicFunction(MatCreateSeqAIJ,(PetscInt m,PetscInt n,const PetscInt nnz[]),(PETSC_COMM_SELF,m,n,0,nnz,&A),Mat,A)
248 PetscPolymorphicFunction(MatCreateSeqAIJ,(PetscInt m,PetscInt n),(PETSC_COMM_SELF,m,n,0,PETSC_NULL,&A),Mat,A)
249 PetscPolymorphicSubroutine(MatCreateSeqAIJ,(PetscInt m,PetscInt n,PetscInt nz,Mat *A),(PETSC_COMM_SELF,m,n,nz,PETSC_NULL,A))
250 PetscPolymorphicSubroutine(MatCreateSeqAIJ,(PetscInt m,PetscInt n,const PetscInt nnz[],Mat *A),(PETSC_COMM_SELF,m,n,0,nnz,A))
251 PetscPolymorphicSubroutine(MatCreateSeqAIJ,(PetscInt m,PetscInt n,Mat *A),(PETSC_COMM_SELF,m,n,0,PETSC_NULL,A))
252 extern PetscErrorCode  MatCreateMPIAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
253 PetscPolymorphicFunction(MatCreateMPIAIJ,(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,const PetscInt nnz[],PetscInt onz,const PetscInt onnz[]),(comm,m,n,M,N,nz,nnz,onz,onnz,&A),Mat,A)
254 PetscPolymorphicFunction(MatCreateMPIAIJ,(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz),(comm,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,&A),Mat,A)
255 PetscPolymorphicFunction(MatCreateMPIAIJ,(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[]),(comm,m,n,M,N,0,nnz,0,onz,&A),Mat,A)
256 PetscPolymorphicFunction(MatCreateMPIAIJ,(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N),(comm,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,&A),Mat,A)
257 PetscPolymorphicSubroutine(MatCreateMPIAIJ,(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz,Mat *A),(comm,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,A))
258 PetscPolymorphicSubroutine(MatCreateMPIAIJ,(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[],Mat *A),(comm,m,n,M,N,0,nnz,0,onz,A))
259 PetscPolymorphicSubroutine(MatCreateMPIAIJ,(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N,Mat *A),(comm,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,A))
260 PetscPolymorphicFunction(MatCreateMPIAIJ,(PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,const PetscInt nnz[],PetscInt onz,const PetscInt onnz[]),(PETSC_COMM_WORLD,m,n,M,N,nz,nnz,onz,onnz,&A),Mat,A)
261 PetscPolymorphicFunction(MatCreateMPIAIJ,(PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz),(PETSC_COMM_WORLD,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,&A),Mat,A)
262 PetscPolymorphicFunction(MatCreateMPIAIJ,(PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[]),(PETSC_COMM_WORLD,m,n,M,N,0,nnz,0,onz,&A),Mat,A)
263 PetscPolymorphicFunction(MatCreateMPIAIJ,(PetscInt m,PetscInt n,PetscInt M,PetscInt N),(PETSC_COMM_WORLD,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,&A),Mat,A)
264 PetscPolymorphicSubroutine(MatCreateMPIAIJ,(PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz,Mat *A),(PETSC_COMM_WORLD,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,A))
265 PetscPolymorphicSubroutine(MatCreateMPIAIJ,(PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[],Mat *A),(PETSC_COMM_WORLD,m,n,M,N,0,nnz,0,onz,A))
266 PetscPolymorphicSubroutine(MatCreateMPIAIJ,(PetscInt m,PetscInt n,PetscInt M,PetscInt N,Mat *A),(PETSC_COMM_WORLD,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,A))
267 extern PetscErrorCode  MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
268 extern PetscErrorCode  MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
269 
270 extern PetscErrorCode  MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
271 PetscPolymorphicFunction(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[]),(PETSC_COMM_SELF,bs,m,n,nz,nnz,&A),Mat,A)
272 PetscPolymorphicFunction(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz),(PETSC_COMM_SELF,bs,m,n,nz,PETSC_NULL,&A),Mat,A)
273 PetscPolymorphicFunction(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,const PetscInt nnz[]),(PETSC_COMM_SELF,bs,m,n,0,nnz,&A),Mat,A)
274 PetscPolymorphicFunction(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n),(PETSC_COMM_SELF,bs,m,n,0,PETSC_NULL,&A),Mat,A)
275 PetscPolymorphicSubroutine(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,Mat *A),(PETSC_COMM_SELF,bs,m,n,nz,PETSC_NULL,A))
276 PetscPolymorphicSubroutine(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,const PetscInt nnz[],Mat *A),(PETSC_COMM_SELF,bs,m,n,0,nnz,A))
277 PetscPolymorphicSubroutine(MatCreateSeqBAIJ,(PetscInt bs,PetscInt m,PetscInt n,Mat *A),(PETSC_COMM_SELF,bs,m,n,0,PETSC_NULL,A))
278 extern PetscErrorCode  MatCreateMPIBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
279 PetscPolymorphicFunction(MatCreateMPIBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,const PetscInt nnz[],PetscInt onz,const PetscInt onnz[]),(comm,bs,m,n,M,N,nz,nnz,onz,onnz,&A),Mat,A)
280 PetscPolymorphicFunction(MatCreateMPIBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz),(comm,bs,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,&A),Mat,A)
281 PetscPolymorphicFunction(MatCreateMPIBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[]),(comm,bs,m,n,M,N,0,nnz,0,onz,&A),Mat,A)
282 PetscPolymorphicFunction(MatCreateMPIBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N),(comm,bs,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,&A),Mat,A)
283 PetscPolymorphicSubroutine(MatCreateMPIBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz,Mat *A),(comm,bs,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,A))
284 PetscPolymorphicSubroutine(MatCreateMPIBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[],Mat *A),(comm,bs,m,n,M,N,0,nnz,0,onz,A))
285 PetscPolymorphicSubroutine(MatCreateMPIBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,Mat *A),(comm,bs,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,A))
286 PetscPolymorphicFunction(MatCreateMPIBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,const PetscInt nnz[],PetscInt onz,const PetscInt onnz[]),(PETSC_COMM_WORLD,bs,m,n,M,N,nz,nnz,onz,onnz,&A),Mat,A)
287 PetscPolymorphicFunction(MatCreateMPIBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz),(PETSC_COMM_WORLD,bs,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,&A),Mat,A)
288 PetscPolymorphicFunction(MatCreateMPIBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[]),(PETSC_COMM_WORLD,bs,m,n,M,N,0,nnz,0,onz,&A),Mat,A)
289 PetscPolymorphicFunction(MatCreateMPIBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N),(PETSC_COMM_WORLD,bs,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,&A),Mat,A)
290 PetscPolymorphicSubroutine(MatCreateMPIBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz,Mat *A),(PETSC_COMM_WORLD,bs,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,A))
291 PetscPolymorphicSubroutine(MatCreateMPIBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[],Mat *A),(PETSC_COMM_WORLD,bs,m,n,M,N,0,nnz,0,onz,A))
292 PetscPolymorphicSubroutine(MatCreateMPIBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,Mat *A),(PETSC_COMM_WORLD,bs,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,A))
293 extern PetscErrorCode  MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
294 
295 extern PetscErrorCode  MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
296 extern PetscErrorCode  MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
297 PetscPolymorphicFunction(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[]),(PETSC_COMM_SELF,bs,m,n,nz,nnz,&A),Mat,A)
298 PetscPolymorphicFunction(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz),(PETSC_COMM_SELF,bs,m,n,nz,PETSC_NULL,&A),Mat,A)
299 PetscPolymorphicFunction(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,const PetscInt nnz[]),(PETSC_COMM_SELF,bs,m,n,0,nnz,&A),Mat,A)
300 PetscPolymorphicFunction(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n),(PETSC_COMM_SELF,bs,m,n,0,PETSC_NULL,&A),Mat,A)
301 PetscPolymorphicSubroutine(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,Mat *A),(PETSC_COMM_SELF,bs,m,n,nz,PETSC_NULL,A))
302 PetscPolymorphicSubroutine(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,const PetscInt nnz[],Mat *A),(PETSC_COMM_SELF,bs,m,n,0,nnz,A))
303 PetscPolymorphicSubroutine(MatCreateSeqSBAIJ,(PetscInt bs,PetscInt m,PetscInt n,Mat *A),(PETSC_COMM_SELF,bs,m,n,0,PETSC_NULL,A))
304 
305 extern PetscErrorCode  MatCreateMPISBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
306 PetscPolymorphicFunction(MatCreateMPISBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,const PetscInt nnz[],PetscInt onz,const PetscInt onnz[]),(comm,bs,m,n,M,N,nz,nnz,onz,onnz,&A),Mat,A)
307 PetscPolymorphicFunction(MatCreateMPISBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz),(comm,bs,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,&A),Mat,A)
308 PetscPolymorphicFunction(MatCreateMPISBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[]),(comm,bs,m,n,M,N,0,nnz,0,onz,&A),Mat,A)
309 PetscPolymorphicFunction(MatCreateMPISBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N),(comm,bs,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,&A),Mat,A)
310 PetscPolymorphicSubroutine(MatCreateMPISBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz,Mat *A),(comm,bs,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,A))
311 PetscPolymorphicSubroutine(MatCreateMPISBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[],Mat *A),(comm,bs,m,n,M,N,0,nnz,0,onz,A))
312 PetscPolymorphicSubroutine(MatCreateMPISBAIJ,(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,Mat *A),(comm,bs,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,A))
313 PetscPolymorphicFunction(MatCreateMPISBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,const PetscInt nnz[],PetscInt onz,const PetscInt onnz[]),(PETSC_COMM_WORLD,bs,m,n,M,N,nz,nnz,onz,onnz,&A),Mat,A)
314 PetscPolymorphicFunction(MatCreateMPISBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz),(PETSC_COMM_WORLD,bs,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,&A),Mat,A)
315 PetscPolymorphicFunction(MatCreateMPISBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[]),(PETSC_COMM_WORLD,bs,m,n,M,N,0,nnz,0,onz,&A),Mat,A)
316 PetscPolymorphicFunction(MatCreateMPISBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N),(PETSC_COMM_WORLD,bs,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,&A),Mat,A)
317 PetscPolymorphicSubroutine(MatCreateMPISBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt nz,PetscInt nnz,Mat *A),(PETSC_COMM_WORLD,bs,m,n,M,N,nz,PETSC_NULL,nnz,PETSC_NULL,A))
318 PetscPolymorphicSubroutine(MatCreateMPISBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt nnz[],const PetscInt onz[],Mat *A),(PETSC_COMM_WORLD,bs,m,n,M,N,0,nnz,0,onz,A))
319 PetscPolymorphicSubroutine(MatCreateMPISBAIJ,(PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,Mat *A),(PETSC_COMM_WORLD,bs,m,n,M,N,0,PETSC_NULL,0,PETSC_NULL,A))
320 extern PetscErrorCode  MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
321 extern PetscErrorCode  MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
322 
323 extern PetscErrorCode  MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
324 PetscPolymorphicFunction(MatCreateShell,(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N,void *ctx),(comm,m,n,M,N,ctx,&A),Mat,A)
325 PetscPolymorphicFunction(MatCreateShell,(PetscInt m,PetscInt n,PetscInt M,PetscInt N,void *ctx),(PETSC_COMM_WORLD,m,n,M,N,ctx,&A),Mat,A)
326 extern PetscErrorCode  MatCreateAdic(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,void (*)(void),Mat*);
327 extern PetscErrorCode  MatCreateNormal(Mat,Mat*);
328 PetscPolymorphicFunction(MatCreateNormal,(Mat mat),(mat,&A),Mat,A)
329 extern PetscErrorCode  MatCreateLRC(Mat,Mat,Mat,Mat*);
330 extern PetscErrorCode  MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,Mat*);
331 extern PetscErrorCode  MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
332 extern PetscErrorCode  MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
333 
334 extern PetscErrorCode  MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
335 extern PetscErrorCode  MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
336 extern PetscErrorCode  MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
337 extern PetscErrorCode  MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
338 
339 extern PetscErrorCode  MatCreateScatter(MPI_Comm,VecScatter,Mat*);
340 extern PetscErrorCode  MatScatterSetVecScatter(Mat,VecScatter);
341 extern PetscErrorCode  MatScatterGetVecScatter(Mat,VecScatter*);
342 extern PetscErrorCode  MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
343 extern PetscErrorCode  MatCompositeAddMat(Mat,Mat);
344 extern PetscErrorCode  MatCompositeMerge(Mat);
345 extern PetscErrorCode  MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
346 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
347 extern PetscErrorCode  MatCompositeSetType(Mat,MatCompositeType);
348 
349 extern PetscErrorCode  MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],const MatType,Mat*);
350 extern PetscErrorCode  MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
351 
352 extern PetscErrorCode  MatCreateTranspose(Mat,Mat*);
353 extern PetscErrorCode  MatCreateSubMatrix(Mat,IS,IS,Mat*);
354 extern PetscErrorCode  MatSubMatrixUpdate(Mat,Mat,IS,IS);
355 extern PetscErrorCode  MatCreateLocalRef(Mat,IS,IS,Mat*);
356 
357 extern PetscErrorCode  MatPythonSetType(Mat,const char[]);
358 
359 extern PetscErrorCode  MatSetUp(Mat);
360 extern PetscErrorCode  MatDestroy(Mat*);
361 
362 extern PetscErrorCode  MatConjugate(Mat);
363 extern PetscErrorCode  MatRealPart(Mat);
364 extern PetscErrorCode  MatImaginaryPart(Mat);
365 extern PetscErrorCode  MatGetDiagonalBlock(Mat,Mat*);
366 extern PetscErrorCode  MatGetTrace(Mat,PetscScalar*);
367 
368 /* ------------------------------------------------------------*/
369 extern PetscErrorCode  MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
370 extern PetscErrorCode  MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
371 extern PetscErrorCode  MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
372 extern PetscErrorCode  MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
373 
374 /*S
375      MatStencil - Data structure (C struct) for storing information about a single row or
376         column of a matrix as index on an associated grid.
377 
378    Level: beginner
379 
380   Concepts: matrix; linear operator
381 
382 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockStencil()
383 S*/
384 typedef struct {
385   PetscInt k,j,i,c;
386 } MatStencil;
387 
388 extern PetscErrorCode  MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
389 extern PetscErrorCode  MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
390 extern PetscErrorCode  MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
391 
392 extern PetscErrorCode  MatSetColoring(Mat,ISColoring);
393 extern PetscErrorCode  MatSetValuesAdic(Mat,void*);
394 extern PetscErrorCode  MatSetValuesAdifor(Mat,PetscInt,void*);
395 
396 /*E
397     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
398      to continue to add values to it
399 
400     Level: beginner
401 
402 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
403 E*/
404 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
405 extern PetscErrorCode  MatAssemblyBegin(Mat,MatAssemblyType);
406 extern PetscErrorCode  MatAssemblyEnd(Mat,MatAssemblyType);
407 extern PetscErrorCode  MatAssembled(Mat,PetscBool *);
408 
409 
410 
411 /*E
412     MatOption - Options that may be set for a matrix and its behavior or storage
413 
414     Level: beginner
415 
416    Any additions/changes here MUST also be made in include/finclude/petscmat.h
417 
418 .seealso: MatSetOption()
419 E*/
420 typedef enum {MAT_ROW_ORIENTED,MAT_NEW_NONZERO_LOCATIONS,
421               MAT_SYMMETRIC,
422               MAT_STRUCTURALLY_SYMMETRIC,
423               MAT_NEW_DIAGONALS,MAT_IGNORE_OFF_PROC_ENTRIES,
424               MAT_NEW_NONZERO_LOCATION_ERR,
425               MAT_NEW_NONZERO_ALLOCATION_ERR,MAT_USE_HASH_TABLE,
426               MAT_KEEP_NONZERO_PATTERN,MAT_IGNORE_ZERO_ENTRIES,
427               MAT_USE_INODES,
428               MAT_HERMITIAN,
429               MAT_SYMMETRY_ETERNAL,
430               MAT_CHECK_COMPRESSED_ROW,
431               MAT_IGNORE_LOWER_TRIANGULAR,MAT_ERROR_LOWER_TRIANGULAR,
432               MAT_GETROW_UPPERTRIANGULAR,MAT_UNUSED_NONZERO_LOCATION_ERR,
433               MAT_SPD,MAT_NO_OFF_PROC_ENTRIES,MAT_NO_OFF_PROC_ZERO_ROWS,
434               NUM_MAT_OPTIONS} MatOption;
435 extern const char *MatOptions[];
436 extern PetscErrorCode  MatSetOption(Mat,MatOption,PetscBool );
437 extern PetscErrorCode  MatGetType(Mat,const MatType*);
438 PetscPolymorphicFunction(MatGetType,(Mat mat),(mat,&t),const MatType,t)
439 
440 extern PetscErrorCode  MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
441 extern PetscErrorCode  MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
442 extern PetscErrorCode  MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
443 extern PetscErrorCode  MatGetRowUpperTriangular(Mat);
444 extern PetscErrorCode  MatRestoreRowUpperTriangular(Mat);
445 extern PetscErrorCode  MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
446 extern PetscErrorCode  MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
447 extern PetscErrorCode  MatGetColumnVector(Mat,Vec,PetscInt);
448 extern PetscErrorCode  MatGetArray(Mat,PetscScalar *[]);
449 PetscPolymorphicFunction(MatGetArray,(Mat mat),(mat,&a),PetscScalar*,a)
450 extern PetscErrorCode  MatRestoreArray(Mat,PetscScalar *[]);
451 extern PetscErrorCode  MatGetBlockSize(Mat,PetscInt *);
452 PetscPolymorphicFunction(MatGetBlockSize,(Mat mat),(mat,&a),PetscInt,a)
453 extern PetscErrorCode  MatSetBlockSize(Mat,PetscInt);
454 
455 
456 extern PetscErrorCode  MatMult(Mat,Vec,Vec);
457 extern PetscErrorCode  MatMultDiagonalBlock(Mat,Vec,Vec);
458 extern PetscErrorCode  MatMultAdd(Mat,Vec,Vec,Vec);
459 PetscPolymorphicSubroutine(MatMultAdd,(Mat A,Vec x,Vec y),(A,x,y,y))
460 extern PetscErrorCode  MatMultTranspose(Mat,Vec,Vec);
461 extern PetscErrorCode  MatMultHermitianTranspose(Mat,Vec,Vec);
462 extern PetscErrorCode  MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
463 PetscPolymorphicFunction(MatIsTranspose,(Mat A,Mat B,PetscReal tol),(A,B,tol,&t),PetscBool ,t)
464 PetscPolymorphicFunction(MatIsTranspose,(Mat A,Mat B),(A,B,0,&t),PetscBool ,t)
465 extern PetscErrorCode  MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
466 extern PetscErrorCode  MatMultTransposeAdd(Mat,Vec,Vec,Vec);
467 extern PetscErrorCode  MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
468 PetscPolymorphicSubroutine(MatMultTransposeAdd,(Mat A,Vec x,Vec y),(A,x,y,y))
469 extern PetscErrorCode  MatMultConstrained(Mat,Vec,Vec);
470 extern PetscErrorCode  MatMultTransposeConstrained(Mat,Vec,Vec);
471 extern PetscErrorCode  MatMatSolve(Mat,Mat,Mat);
472 
473 /*E
474     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
475   its numerical values copied over or just its nonzero structure.
476 
477     Level: beginner
478 
479    Any additions/changes here MUST also be made in include/finclude/petscmat.h
480 
481 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
482 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
483 $                               have several matrices with the same nonzero pattern.
484 
485 .seealso: MatDuplicate()
486 E*/
487 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
488 
489 extern PetscErrorCode  MatConvert(Mat,const MatType,MatReuse,Mat*);
490 PetscPolymorphicFunction(MatConvert,(Mat A,const MatType t),(A,t,MAT_INITIAL_MATRIX,&a),Mat,a)
491 extern PetscErrorCode  MatDuplicate(Mat,MatDuplicateOption,Mat*);
492 PetscPolymorphicFunction(MatDuplicate,(Mat A,MatDuplicateOption o),(A,o,&a),Mat,a)
493 PetscPolymorphicFunction(MatDuplicate,(Mat A),(A,MAT_COPY_VALUES,&a),Mat,a)
494 
495 
496 extern PetscErrorCode  MatCopy(Mat,Mat,MatStructure);
497 extern PetscErrorCode  MatView(Mat,PetscViewer);
498 extern PetscErrorCode  MatIsSymmetric(Mat,PetscReal,PetscBool *);
499 PetscPolymorphicFunction(MatIsSymmetric,(Mat A,PetscReal tol),(A,tol,&t),PetscBool ,t)
500 PetscPolymorphicFunction(MatIsSymmetric,(Mat A),(A,0,&t),PetscBool ,t)
501 extern PetscErrorCode  MatIsStructurallySymmetric(Mat,PetscBool *);
502 PetscPolymorphicFunction(MatIsStructurallySymmetric,(Mat A),(A,&t),PetscBool ,t)
503 extern PetscErrorCode  MatIsHermitian(Mat,PetscReal,PetscBool *);
504 PetscPolymorphicFunction(MatIsHermitian,(Mat A),(A,0,&t),PetscBool ,t)
505 extern PetscErrorCode  MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
506 extern PetscErrorCode  MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
507 extern PetscErrorCode  MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
508 extern PetscErrorCode  MatLoad(Mat, PetscViewer);
509 
510 extern PetscErrorCode  MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,PetscInt *[],PetscInt *[],PetscBool  *);
511 extern PetscErrorCode  MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,PetscInt *[],PetscInt *[],PetscBool  *);
512 extern PetscErrorCode  MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,PetscInt *[],PetscInt *[],PetscBool  *);
513 extern PetscErrorCode  MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,PetscInt *[],PetscInt *[],PetscBool  *);
514 
515 /*S
516      MatInfo - Context of matrix information, used with MatGetInfo()
517 
518    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
519 
520    Level: intermediate
521 
522   Concepts: matrix^nonzero information
523 
524 .seealso:  MatGetInfo(), MatInfoType
525 S*/
526 typedef struct {
527   PetscLogDouble block_size;                         /* block size */
528   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
529   PetscLogDouble memory;                             /* memory allocated */
530   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
531   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
532   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
533   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
534 } MatInfo;
535 
536 /*E
537     MatInfoType - Indicates if you want information about the local part of the matrix,
538      the entire parallel matrix or the maximum over all the local parts.
539 
540     Level: beginner
541 
542    Any additions/changes here MUST also be made in include/finclude/petscmat.h
543 
544 .seealso: MatGetInfo(), MatInfo
545 E*/
546 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
547 extern PetscErrorCode  MatGetInfo(Mat,MatInfoType,MatInfo*);
548 extern PetscErrorCode  MatGetDiagonal(Mat,Vec);
549 extern PetscErrorCode  MatGetRowMax(Mat,Vec,PetscInt[]);
550 extern PetscErrorCode  MatGetRowMin(Mat,Vec,PetscInt[]);
551 extern PetscErrorCode  MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
552 extern PetscErrorCode  MatGetRowMinAbs(Mat,Vec,PetscInt[]);
553 extern PetscErrorCode  MatGetRowSum(Mat,Vec);
554 extern PetscErrorCode  MatTranspose(Mat,MatReuse,Mat*);
555 PetscPolymorphicFunction(MatTranspose,(Mat A),(A,MAT_INITIAL_MATRIX,&t),Mat,t)
556 extern PetscErrorCode  MatHermitianTranspose(Mat,MatReuse,Mat*);
557 extern PetscErrorCode  MatPermute(Mat,IS,IS,Mat *);
558 PetscPolymorphicFunction(MatPermute,(Mat A,IS is1,IS is2),(A,is1,is2,&t),Mat,t)
559 extern PetscErrorCode  MatDiagonalScale(Mat,Vec,Vec);
560 extern PetscErrorCode  MatDiagonalSet(Mat,Vec,InsertMode);
561 extern PetscErrorCode  MatEqual(Mat,Mat,PetscBool *);
562 PetscPolymorphicFunction(MatEqual,(Mat A,Mat B),(A,B,&t),PetscBool ,t)
563 extern PetscErrorCode  MatMultEqual(Mat,Mat,PetscInt,PetscBool *);
564 extern PetscErrorCode  MatMultAddEqual(Mat,Mat,PetscInt,PetscBool *);
565 extern PetscErrorCode  MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool *);
566 extern PetscErrorCode  MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool *);
567 
568 extern PetscErrorCode  MatNorm(Mat,NormType,PetscReal *);
569 PetscPolymorphicFunction(MatNorm,(Mat A,NormType t),(A,t,&n),PetscReal,n)
570 extern PetscErrorCode  MatGetColumnNorms(Mat,NormType,PetscReal *);
571 extern PetscErrorCode  MatZeroEntries(Mat);
572 extern PetscErrorCode  MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
573 extern PetscErrorCode  MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
574 extern PetscErrorCode  MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
575 extern PetscErrorCode  MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
576 extern PetscErrorCode  MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
577 
578 extern PetscErrorCode  MatUseScaledForm(Mat,PetscBool );
579 extern PetscErrorCode  MatScaleSystem(Mat,Vec,Vec);
580 extern PetscErrorCode  MatUnScaleSystem(Mat,Vec,Vec);
581 
582 extern PetscErrorCode  MatGetSize(Mat,PetscInt*,PetscInt*);
583 extern PetscErrorCode  MatGetLocalSize(Mat,PetscInt*,PetscInt*);
584 extern PetscErrorCode  MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
585 extern PetscErrorCode  MatGetOwnershipRanges(Mat,const PetscInt**);
586 extern PetscErrorCode  MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
587 extern PetscErrorCode  MatGetOwnershipRangesColumn(Mat,const PetscInt**);
588 
589 extern PetscErrorCode  MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
590 extern PetscErrorCode  MatGetSubMatricesParallel(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
591 extern PetscErrorCode  MatDestroyMatrices(PetscInt,Mat *[]);
592 extern PetscErrorCode  MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
593 extern PetscErrorCode  MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
594 extern PetscErrorCode  MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
595 extern PetscErrorCode  MatGetSeqNonzeroStructure(Mat,Mat*);
596 extern PetscErrorCode  MatDestroySeqNonzeroStructure(Mat*);
597 
598 extern PetscErrorCode  MatMerge(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
599 extern PetscErrorCode  MatMerge_SeqsToMPI(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
600 extern PetscErrorCode  MatMerge_SeqsToMPISymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
601 extern PetscErrorCode  MatMerge_SeqsToMPINumeric(Mat,Mat);
602 extern PetscErrorCode  MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
603 extern PetscErrorCode  MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
604 extern PetscErrorCode  MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,PetscInt*,Mat*);
605 extern PetscErrorCode  MatGetBrowsOfAoCols(Mat,Mat,MatReuse,PetscInt**,PetscInt**,MatScalar**,Mat*);
606 #if defined (PETSC_USE_CTABLE)
607 #include "petscctable.h"
608 extern PetscErrorCode  MatGetCommunicationStructs(Mat, Vec *, PetscTable *, VecScatter *);
609 #else
610 extern PetscErrorCode  MatGetCommunicationStructs(Mat, Vec *, PetscInt *[], VecScatter *);
611 #endif
612 extern PetscErrorCode  MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
613 
614 extern PetscErrorCode  MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
615 
616 extern PetscErrorCode  MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
617 extern PetscErrorCode  MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
618 extern PetscErrorCode  MatMatMultNumeric(Mat,Mat,Mat);
619 
620 extern PetscErrorCode  MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
621 extern PetscErrorCode  MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
622 extern PetscErrorCode  MatPtAPNumeric(Mat,Mat,Mat);
623 
624 extern PetscErrorCode  MatMatMultTranspose(Mat,Mat,MatReuse,PetscReal,Mat*);
625 extern PetscErrorCode  MatMatMultTransposeSymbolic(Mat,Mat,PetscReal,Mat*);
626 extern PetscErrorCode  MatMatMultTransposeNumeric(Mat,Mat,Mat);
627 
628 extern PetscErrorCode  MatAXPY(Mat,PetscScalar,Mat,MatStructure);
629 extern PetscErrorCode  MatAYPX(Mat,PetscScalar,Mat,MatStructure);
630 
631 extern PetscErrorCode  MatScale(Mat,PetscScalar);
632 extern PetscErrorCode  MatShift(Mat,PetscScalar);
633 
634 extern PetscErrorCode  MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
635 extern PetscErrorCode  MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
636 extern PetscErrorCode  MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
637 extern PetscErrorCode  MatGetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
638 extern PetscErrorCode  MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
639 extern PetscErrorCode  MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
640 extern PetscErrorCode  MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
641 extern PetscErrorCode  MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
642 extern PetscErrorCode  MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
643 extern PetscErrorCode  MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
644 
645 extern PetscErrorCode  MatStashSetInitialSize(Mat,PetscInt,PetscInt);
646 extern PetscErrorCode  MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
647 
648 extern PetscErrorCode  MatInterpolate(Mat,Vec,Vec);
649 extern PetscErrorCode  MatInterpolateAdd(Mat,Vec,Vec,Vec);
650 PetscPolymorphicSubroutine(MatInterpolateAdd,(Mat A,Vec x,Vec y),(A,x,y,y))
651 extern PetscErrorCode  MatRestrict(Mat,Vec,Vec);
652 extern PetscErrorCode  MatGetVecs(Mat,Vec*,Vec*);
653 extern PetscErrorCode  MatGetRedundantMatrix(Mat,PetscInt,MPI_Comm,PetscInt,MatReuse,Mat*);
654 extern PetscErrorCode  MatGetMultiProcBlock(Mat,MPI_Comm,Mat*);
655 extern PetscErrorCode  MatFindZeroDiagonals(Mat,IS*);
656 
657 /*MC
658    MatSetValue - Set a single entry into a matrix.
659 
660    Not collective
661 
662    Input Parameters:
663 +  m - the matrix
664 .  row - the row location of the entry
665 .  col - the column location of the entry
666 .  value - the value to insert
667 -  mode - either INSERT_VALUES or ADD_VALUES
668 
669    Notes:
670    For efficiency one should use MatSetValues() and set several or many
671    values simultaneously if possible.
672 
673    Level: beginner
674 
675 .seealso: MatSetValues(), MatSetValueLocal()
676 M*/
677 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
678 
679 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
680 
681 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
682 
683 extern PetscErrorCode MatSeqAIJSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt *, PetscScalar *);
684 extern PetscErrorCode MatMPIAIJSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt *, PetscScalar *);
685 
686 /*MC
687    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
688        row in a matrix providing the data that one can use to correctly preallocate the matrix.
689 
690    Synopsis:
691    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
692 
693    Collective on MPI_Comm
694 
695    Input Parameters:
696 +  comm - the communicator that will share the eventually allocated matrix
697 .  nrows - the number of LOCAL rows in the matrix
698 -  ncols - the number of LOCAL columns in the matrix
699 
700    Output Parameters:
701 +  dnz - the array that will be passed to the matrix preallocation routines
702 -  ozn - the other array passed to the matrix preallocation routines
703 
704 
705    Level: intermediate
706 
707    Notes:
708     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
709 
710    Do not malloc or free dnz and onz, that is handled internally by these routines
711 
712    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
713 
714    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
715 
716   Concepts: preallocation^Matrix
717 
718 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
719           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
720 M*/
721 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
722 { \
723   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
724   _4_ierr = PetscMalloc2(__nrows,PetscInt,&dnz,__nrows,PetscInt,&onz);CHKERRQ(_4_ierr); \
725   _4_ierr = PetscMemzero(dnz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
726   _4_ierr = PetscMemzero(onz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
727   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
728   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
729 
730 /*MC
731    MatPreallocateSymmetricInitialize - Begins the block of code that will count the number of nonzeros per
732        row in a matrix providing the data that one can use to correctly preallocate the matrix.
733 
734    Synopsis:
735    PetscErrorCode MatPreallocateSymmetricInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
736 
737    Collective on MPI_Comm
738 
739    Input Parameters:
740 +  comm - the communicator that will share the eventually allocated matrix
741 .  nrows - the number of LOCAL rows in the matrix
742 -  ncols - the number of LOCAL columns in the matrix
743 
744    Output Parameters:
745 +  dnz - the array that will be passed to the matrix preallocation routines
746 -  ozn - the other array passed to the matrix preallocation routines
747 
748 
749    Level: intermediate
750 
751    Notes:
752     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
753 
754    Do not malloc or free dnz and onz, that is handled internally by these routines
755 
756    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
757 
758   Concepts: preallocation^Matrix
759 
760 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
761           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
762 M*/
763 #define MatPreallocateSymmetricInitialize(comm,nrows,ncols,dnz,onz) 0; \
764 { \
765   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__end; \
766   _4_ierr = PetscMalloc2(__nrows,PetscInt,&dnz,__nrows,PetscInt,&onz);CHKERRQ(_4_ierr); \
767   _4_ierr = PetscMemzero(dnz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
768   _4_ierr = PetscMemzero(onz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
769   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr);\
770   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
771 
772 /*MC
773    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
774        inserted using a local number of the rows and columns
775 
776    Synopsis:
777    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
778 
779    Not Collective
780 
781    Input Parameters:
782 +  map - the row mapping from local numbering to global numbering
783 .  nrows - the number of rows indicated
784 .  rows - the indices of the rows
785 .  cmap - the column mapping from local to global numbering
786 .  ncols - the number of columns in the matrix
787 .  cols - the columns indicated
788 .  dnz - the array that will be passed to the matrix preallocation routines
789 -  ozn - the other array passed to the matrix preallocation routines
790 
791 
792    Level: intermediate
793 
794    Notes:
795     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
796 
797    Do not malloc or free dnz and onz, that is handled internally by these routines
798 
799   Concepts: preallocation^Matrix
800 
801 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
802           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
803 M*/
804 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
805 {\
806   PetscInt __l;\
807   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
808   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
809   for (__l=0;__l<nrows;__l++) {\
810     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
811   }\
812 }
813 
814 /*MC
815    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
816        inserted using a local number of the rows and columns
817 
818    Synopsis:
819    PetscErrorCode MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
820 
821    Not Collective
822 
823    Input Parameters:
824 +  map - the mapping between local numbering and global numbering
825 .  nrows - the number of rows indicated
826 .  rows - the indices of the rows
827 .  ncols - the number of columns in the matrix
828 .  cols - the columns indicated
829 .  dnz - the array that will be passed to the matrix preallocation routines
830 -  ozn - the other array passed to the matrix preallocation routines
831 
832 
833    Level: intermediate
834 
835    Notes:
836     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
837 
838    Do not malloc or free dnz and onz that is handled internally by these routines
839 
840   Concepts: preallocation^Matrix
841 
842 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
843           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
844 M*/
845 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
846 {\
847   PetscInt __l;\
848   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
849   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
850   for (__l=0;__l<nrows;__l++) {\
851     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
852   }\
853 }
854 
855 /*MC
856    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
857        inserted using a local number of the rows and columns
858 
859    Synopsis:
860    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
861 
862    Not Collective
863 
864    Input Parameters:
865 +  row - the row
866 .  ncols - the number of columns in the matrix
867 -  cols - the columns indicated
868 
869    Output Parameters:
870 +  dnz - the array that will be passed to the matrix preallocation routines
871 -  ozn - the other array passed to the matrix preallocation routines
872 
873 
874    Level: intermediate
875 
876    Notes:
877     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
878 
879    Do not malloc or free dnz and onz that is handled internally by these routines
880 
881    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
882 
883   Concepts: preallocation^Matrix
884 
885 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
886           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
887 M*/
888 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
889 { PetscInt __i; \
890   if (row < __rstart) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Trying to set preallocation for row %D less than first local row %D",row,__rstart);\
891   if (row >= __rstart+__nrows) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Trying to set preallocation for row %D greater than last local row %D",row,__rstart+__nrows-1);\
892   for (__i=0; __i<nc; __i++) {\
893     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
894     else dnz[row - __rstart]++;\
895   }\
896 }
897 
898 /*MC
899    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
900        inserted using a local number of the rows and columns
901 
902    Synopsis:
903    PetscErrorCode MatPreallocateSymmetricSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
904 
905    Not Collective
906 
907    Input Parameters:
908 +  nrows - the number of rows indicated
909 .  rows - the indices of the rows
910 .  ncols - the number of columns in the matrix
911 .  cols - the columns indicated
912 .  dnz - the array that will be passed to the matrix preallocation routines
913 -  ozn - the other array passed to the matrix preallocation routines
914 
915 
916    Level: intermediate
917 
918    Notes:
919     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
920 
921    Do not malloc or free dnz and onz that is handled internally by these routines
922 
923    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
924 
925   Concepts: preallocation^Matrix
926 
927 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
928           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
929 M*/
930 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
931 { PetscInt __i; \
932   for (__i=0; __i<nc; __i++) {\
933     if (cols[__i] >= __end) onz[row - __rstart]++; \
934     else if (cols[__i] >= row) dnz[row - __rstart]++;\
935   }\
936 }
937 
938 /*MC
939    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
940 
941    Synopsis:
942    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
943 
944    Not Collective
945 
946    Input Parameters:
947 .  A - matrix
948 .  row - row where values exist (must be local to this process)
949 .  ncols - number of columns
950 .  cols - columns with nonzeros
951 .  dnz - the array that will be passed to the matrix preallocation routines
952 -  ozn - the other array passed to the matrix preallocation routines
953 
954 
955    Level: intermediate
956 
957    Notes:
958     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
959 
960    Do not malloc or free dnz and onz that is handled internally by these routines
961 
962    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
963 
964   Concepts: preallocation^Matrix
965 
966 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
967           MatPreallocateSymmetricInitialize(), MatPreallocateSymmetricSetLocal()
968 M*/
969 #define MatPreallocateLocation(A,row,ncols,cols,dnz,onz) 0;if (A) {ierr = MatSetValues(A,1,&row,ncols,cols,PETSC_NULL,INSERT_VALUES);CHKERRQ(ierr);} else {ierr =  MatPreallocateSet(row,ncols,cols,dnz,onz);CHKERRQ(ierr);}
970 
971 
972 /*MC
973    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
974        row in a matrix providing the data that one can use to correctly preallocate the matrix.
975 
976    Synopsis:
977    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
978 
979    Collective on MPI_Comm
980 
981    Input Parameters:
982 +  dnz - the array that was be passed to the matrix preallocation routines
983 -  ozn - the other array passed to the matrix preallocation routines
984 
985 
986    Level: intermediate
987 
988    Notes:
989     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
990 
991    Do not malloc or free dnz and onz that is handled internally by these routines
992 
993    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
994 
995   Concepts: preallocation^Matrix
996 
997 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
998           MatPreallocateSymmetricInitialize(), MatPreallocateSymmetricSetLocal()
999 M*/
1000 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
1001 
1002 
1003 
1004 /* Routines unique to particular data structures */
1005 extern PetscErrorCode  MatShellGetContext(Mat,void *);
1006 PetscPolymorphicFunction(MatShellGetContext,(Mat A),(A,&t),void*,t)
1007 
1008 extern PetscErrorCode  MatInodeAdjustForInodes(Mat,IS*,IS*);
1009 extern PetscErrorCode  MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1010 
1011 extern PetscErrorCode  MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1012 extern PetscErrorCode  MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1013 extern PetscErrorCode  MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1014 extern PetscErrorCode  MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1015 extern PetscErrorCode  MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1016 
1017 #define MAT_SKIP_ALLOCATION -4
1018 
1019 extern PetscErrorCode  MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1020 PetscPolymorphicSubroutine(MatSeqBAIJSetPreallocation,(Mat A,PetscInt bs,const PetscInt nnz[]),(A,bs,0,nnz))
1021 extern PetscErrorCode  MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1022 PetscPolymorphicSubroutine(MatSeqSBAIJSetPreallocation,(Mat A,PetscInt bs,const PetscInt nnz[]),(A,bs,0,nnz))
1023 extern PetscErrorCode  MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1024 PetscPolymorphicSubroutine(MatSeqAIJSetPreallocation,(Mat A,const PetscInt nnz[]),(A,0,nnz))
1025 
1026 extern PetscErrorCode  MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1027 PetscPolymorphicSubroutine(MatMPIBAIJSetPreallocation,(Mat A,PetscInt bs,const PetscInt nnz[],const PetscInt onz[]),(A,bs,0,nnz,0,onz))
1028 extern PetscErrorCode  MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1029 extern PetscErrorCode  MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1030 extern PetscErrorCode  MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1031 extern PetscErrorCode  MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1032 extern PetscErrorCode  MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1033 extern PetscErrorCode  MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1034 extern PetscErrorCode  MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1035 extern PetscErrorCode  MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1036 extern PetscErrorCode  MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1037 extern PetscErrorCode  MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,PetscInt*[]);
1038 extern PetscErrorCode  MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,PetscInt*[]);
1039 extern PetscErrorCode  MatAdicSetLocalFunction(Mat,void (*)(void));
1040 
1041 extern PetscErrorCode  MatSeqDenseSetLDA(Mat,PetscInt);
1042 extern PetscErrorCode  MatDenseGetLocalMatrix(Mat,Mat*);
1043 
1044 extern PetscErrorCode  MatStoreValues(Mat);
1045 extern PetscErrorCode  MatRetrieveValues(Mat);
1046 
1047 extern PetscErrorCode  MatDAADSetCtx(Mat,void*);
1048 
1049 extern PetscErrorCode  MatFindNonzeroRows(Mat,IS*);
1050 /*
1051   These routines are not usually accessed directly, rather solving is
1052   done through the KSP and PC interfaces.
1053 */
1054 
1055 /*E
1056     MatOrderingType - String with the name of a PETSc matrix ordering or the creation function
1057        with an optional dynamic library name, for example
1058        http://www.mcs.anl.gov/petsc/lib.a:orderingcreate()
1059 
1060    Level: beginner
1061 
1062    Cannot use const because the PC objects manipulate the string
1063 
1064 .seealso: MatGetOrdering()
1065 E*/
1066 #define MatOrderingType char*
1067 #define MATORDERINGNATURAL     "natural"
1068 #define MATORDERINGND          "nd"
1069 #define MATORDERING1WD         "1wd"
1070 #define MATORDERINGRCM         "rcm"
1071 #define MATORDERINGQMD         "qmd"
1072 #define MATORDERINGROWLENGTH   "rowlength"
1073 #define MATORDERINGDSC_ND      "dsc_nd"         /* these three are only for DSCPACK, see its documentation for details */
1074 #define MATORDERINGDSC_MMD     "dsc_mmd"
1075 #define MATORDERINGDSC_MDF     "dsc_mdf"
1076 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1077 
1078 extern PetscErrorCode  MatGetOrdering(Mat,const MatOrderingType,IS*,IS*);
1079 extern PetscErrorCode  MatGetOrderingList(PetscFList *list);
1080 extern PetscErrorCode  MatOrderingRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,const MatOrderingType,IS*,IS*));
1081 
1082 /*MC
1083    MatOrderingRegisterDynamic - Adds a new sparse matrix ordering to the matrix package.
1084 
1085    Synopsis:
1086    PetscErrorCode MatOrderingRegisterDynamic(const char *name_ordering,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatOrdering))
1087 
1088    Not Collective
1089 
1090    Input Parameters:
1091 +  sname - name of ordering (for example MATORDERINGND)
1092 .  path - location of library where creation routine is
1093 .  name - name of function that creates the ordering type,a string
1094 -  function - function pointer that creates the ordering
1095 
1096    Level: developer
1097 
1098    If dynamic libraries are used, then the fourth input argument (function)
1099    is ignored.
1100 
1101    Sample usage:
1102 .vb
1103    MatOrderingRegisterDynamic("my_order",/home/username/my_lib/lib/libO/solaris/mylib.a,
1104                "MyOrder",MyOrder);
1105 .ve
1106 
1107    Then, your partitioner can be chosen with the procedural interface via
1108 $     MatOrderingSetType(part,"my_order)
1109    or at runtime via the option
1110 $     -pc_factor_mat_ordering_type my_order
1111 
1112    ${PETSC_ARCH} occuring in pathname will be replaced with appropriate values.
1113 
1114 .keywords: matrix, ordering, register
1115 
1116 .seealso: MatOrderingRegisterDestroy(), MatOrderingRegisterAll()
1117 M*/
1118 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1119 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,0)
1120 #else
1121 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,d)
1122 #endif
1123 
1124 extern PetscErrorCode  MatOrderingRegisterDestroy(void);
1125 extern PetscErrorCode  MatOrderingRegisterAll(const char[]);
1126 extern PetscBool  MatOrderingRegisterAllCalled;
1127 extern PetscFList MatOrderingList;
1128 
1129 extern PetscErrorCode  MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1130 
1131 /*S
1132     MatFactorShiftType - Numeric Shift.
1133 
1134    Level: beginner
1135 
1136 S*/
1137 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1138 extern const char *MatFactorShiftTypes[];
1139 
1140 /*S
1141    MatFactorInfo - Data passed into the matrix factorization routines
1142 
1143    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1144 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1145 
1146    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1147 
1148       You can use MatFactorInfoInitialize() to set default values.
1149 
1150    Level: developer
1151 
1152 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1153           MatFactorInfoInitialize()
1154 
1155 S*/
1156 typedef struct {
1157   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1158   PetscReal     usedt;
1159   PetscReal     dt;             /* drop tolerance */
1160   PetscReal     dtcol;          /* tolerance for pivoting */
1161   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1162   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1163   PetscReal     levels;         /* ICC/ILU(levels) */
1164   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1165                                    factorization may be faster if do not pivot */
1166   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1167   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1168   PetscReal     shiftamount;     /* how large the shift is */
1169 } MatFactorInfo;
1170 
1171 extern PetscErrorCode  MatFactorInfoInitialize(MatFactorInfo*);
1172 extern PetscErrorCode  MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1173 extern PetscErrorCode  MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1174 extern PetscErrorCode  MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1175 extern PetscErrorCode  MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1176 extern PetscErrorCode  MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1177 extern PetscErrorCode  MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1178 extern PetscErrorCode  MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1179 extern PetscErrorCode  MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1180 extern PetscErrorCode  MatICCFactor(Mat,IS,const MatFactorInfo*);
1181 extern PetscErrorCode  MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1182 extern PetscErrorCode  MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1183 extern PetscErrorCode  MatSolve(Mat,Vec,Vec);
1184 extern PetscErrorCode  MatForwardSolve(Mat,Vec,Vec);
1185 extern PetscErrorCode  MatBackwardSolve(Mat,Vec,Vec);
1186 extern PetscErrorCode  MatSolveAdd(Mat,Vec,Vec,Vec);
1187 extern PetscErrorCode  MatSolveTranspose(Mat,Vec,Vec);
1188 extern PetscErrorCode  MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1189 extern PetscErrorCode  MatSolves(Mat,Vecs,Vecs);
1190 
1191 extern PetscErrorCode  MatSetUnfactored(Mat);
1192 
1193 /*E
1194     MatSORType - What type of (S)SOR to perform
1195 
1196     Level: beginner
1197 
1198    May be bitwise ORd together
1199 
1200    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1201 
1202    MatSORType may be bitwise ORd together, so do not change the numbers
1203 
1204 .seealso: MatSOR()
1205 E*/
1206 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1207               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1208               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1209               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1210 extern PetscErrorCode  MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1211 
1212 /*
1213     These routines are for efficiently computing Jacobians via finite differences.
1214 */
1215 
1216 /*E
1217     MatColoringType - String with the name of a PETSc matrix coloring or the creation function
1218        with an optional dynamic library name, for example
1219        http://www.mcs.anl.gov/petsc/lib.a:coloringcreate()
1220 
1221    Level: beginner
1222 
1223 .seealso: MatGetColoring()
1224 E*/
1225 #define MatColoringType char*
1226 #define MATCOLORINGNATURAL "natural"
1227 #define MATCOLORINGSL      "sl"
1228 #define MATCOLORINGLF      "lf"
1229 #define MATCOLORINGID      "id"
1230 
1231 extern PetscErrorCode  MatGetColoring(Mat,const MatColoringType,ISColoring*);
1232 extern PetscErrorCode  MatColoringRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,MatColoringType,ISColoring *));
1233 
1234 /*MC
1235    MatColoringRegisterDynamic - Adds a new sparse matrix coloring to the
1236                                matrix package.
1237 
1238    Synopsis:
1239    PetscErrorCode MatColoringRegisterDynamic(const char *name_coloring,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatColoring))
1240 
1241    Not Collective
1242 
1243    Input Parameters:
1244 +  sname - name of Coloring (for example MATCOLORINGSL)
1245 .  path - location of library where creation routine is
1246 .  name - name of function that creates the Coloring type, a string
1247 -  function - function pointer that creates the coloring
1248 
1249    Level: developer
1250 
1251    If dynamic libraries are used, then the fourth input argument (function)
1252    is ignored.
1253 
1254    Sample usage:
1255 .vb
1256    MatColoringRegisterDynamic("my_color",/home/username/my_lib/lib/libO/solaris/mylib.a,
1257                "MyColor",MyColor);
1258 .ve
1259 
1260    Then, your partitioner can be chosen with the procedural interface via
1261 $     MatColoringSetType(part,"my_color")
1262    or at runtime via the option
1263 $     -mat_coloring_type my_color
1264 
1265    $PETSC_ARCH occuring in pathname will be replaced with appropriate values.
1266 
1267 .keywords: matrix, Coloring, register
1268 
1269 .seealso: MatColoringRegisterDestroy(), MatColoringRegisterAll()
1270 M*/
1271 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1272 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,0)
1273 #else
1274 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,d)
1275 #endif
1276 
1277 extern PetscBool  MatColoringRegisterAllCalled;
1278 
1279 extern PetscErrorCode  MatColoringRegisterAll(const char[]);
1280 extern PetscErrorCode  MatColoringRegisterDestroy(void);
1281 extern PetscErrorCode  MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1282 
1283 /*S
1284      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1285         and coloring
1286 
1287    Level: beginner
1288 
1289   Concepts: coloring, sparse Jacobian, finite differences
1290 
1291 .seealso:  MatFDColoringCreate()
1292 S*/
1293 typedef struct _p_MatFDColoring* MatFDColoring;
1294 
1295 extern PetscErrorCode  MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1296 extern PetscErrorCode  MatFDColoringDestroy(MatFDColoring*);
1297 extern PetscErrorCode  MatFDColoringView(MatFDColoring,PetscViewer);
1298 extern PetscErrorCode  MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1299 extern PetscErrorCode  MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1300 extern PetscErrorCode  MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1301 extern PetscErrorCode  MatFDColoringSetFromOptions(MatFDColoring);
1302 extern PetscErrorCode  MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
1303 extern PetscErrorCode  MatFDColoringApplyTS(Mat,MatFDColoring,PetscReal,Vec,MatStructure*,void *);
1304 extern PetscErrorCode  MatFDColoringSetF(MatFDColoring,Vec);
1305 extern PetscErrorCode  MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1306 /*
1307     These routines are for partitioning matrices: currently used only
1308   for adjacency matrix, MatCreateMPIAdj().
1309 */
1310 
1311 /*S
1312      MatPartitioning - Object for managing the partitioning of a matrix or graph
1313 
1314    Level: beginner
1315 
1316   Concepts: partitioning
1317 
1318 .seealso:  MatPartitioningCreate(), MatPartitioningType
1319 S*/
1320 typedef struct _p_MatPartitioning* MatPartitioning;
1321 
1322 /*E
1323     MatPartitioningType - String with the name of a PETSc matrix partitioning or the creation function
1324        with an optional dynamic library name, for example
1325        http://www.mcs.anl.gov/petsc/lib.a:partitioningcreate()
1326 
1327    Level: beginner
1328 
1329 .seealso: MatPartitioningCreate(), MatPartitioning
1330 E*/
1331 #define MatPartitioningType char*
1332 #define MATPARTITIONINGCURRENT  "current"
1333 #define MATPARTITIONINGSQUARE   "square"
1334 #define MATPARTITIONINGPARMETIS "parmetis"
1335 #define MATPARTITIONINGCHACO    "chaco"
1336 #define MATPARTITIONINGJOSTLE   "jostle"
1337 #define MATPARTITIONINGPARTY    "party"
1338 #define MATPARTITIONINGSCOTCH   "scotch"
1339 
1340 
1341 extern PetscErrorCode  MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1342 extern PetscErrorCode  MatPartitioningSetType(MatPartitioning,const MatPartitioningType);
1343 extern PetscErrorCode  MatPartitioningSetNParts(MatPartitioning,PetscInt);
1344 extern PetscErrorCode  MatPartitioningSetAdjacency(MatPartitioning,Mat);
1345 extern PetscErrorCode  MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1346 extern PetscErrorCode  MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1347 extern PetscErrorCode  MatPartitioningApply(MatPartitioning,IS*);
1348 extern PetscErrorCode  MatPartitioningDestroy(MatPartitioning*);
1349 
1350 extern PetscErrorCode  MatPartitioningRegister(const char[],const char[],const char[],PetscErrorCode (*)(MatPartitioning));
1351 
1352 /*MC
1353    MatPartitioningRegisterDynamic - Adds a new sparse matrix partitioning to the
1354    matrix package.
1355 
1356    Synopsis:
1357    PetscErrorCode MatPartitioningRegisterDynamic(const char *name_partitioning,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatPartitioning))
1358 
1359    Not Collective
1360 
1361    Input Parameters:
1362 +  sname - name of partitioning (for example MATPARTITIONINGCURRENT) or parmetis
1363 .  path - location of library where creation routine is
1364 .  name - name of function that creates the partitioning type, a string
1365 -  function - function pointer that creates the partitioning type
1366 
1367    Level: developer
1368 
1369    If dynamic libraries are used, then the fourth input argument (function)
1370    is ignored.
1371 
1372    Sample usage:
1373 .vb
1374    MatPartitioningRegisterDynamic("my_part",/home/username/my_lib/lib/libO/solaris/mylib.a,
1375                "MyPartCreate",MyPartCreate);
1376 .ve
1377 
1378    Then, your partitioner can be chosen with the procedural interface via
1379 $     MatPartitioningSetType(part,"my_part")
1380    or at runtime via the option
1381 $     -mat_partitioning_type my_part
1382 
1383    $PETSC_ARCH occuring in pathname will be replaced with appropriate values.
1384 
1385 .keywords: matrix, partitioning, register
1386 
1387 .seealso: MatPartitioningRegisterDestroy(), MatPartitioningRegisterAll()
1388 M*/
1389 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1390 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,0)
1391 #else
1392 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,d)
1393 #endif
1394 
1395 extern PetscBool  MatPartitioningRegisterAllCalled;
1396 
1397 extern PetscErrorCode  MatPartitioningRegisterAll(const char[]);
1398 extern PetscErrorCode  MatPartitioningRegisterDestroy(void);
1399 
1400 extern PetscErrorCode  MatPartitioningView(MatPartitioning,PetscViewer);
1401 extern PetscErrorCode  MatPartitioningSetFromOptions(MatPartitioning);
1402 extern PetscErrorCode  MatPartitioningGetType(MatPartitioning,const MatPartitioningType*);
1403 
1404 extern PetscErrorCode  MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1405 extern PetscErrorCode  MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1406 
1407 extern PetscErrorCode  MatPartitioningJostleSetCoarseLevel(MatPartitioning,PetscReal);
1408 extern PetscErrorCode  MatPartitioningJostleSetCoarseSequential(MatPartitioning);
1409 
1410 typedef enum {MP_CHACO_MULTILEVEL_KL,MP_CHACO_SPECTRAL,MP_CHACO_LINEAR,MP_CHACO_RANDOM, MP_CHACO_SCATTERED} MPChacoGlobalType;
1411 extern PetscErrorCode  MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1412 typedef enum { MP_CHACO_KERNIGHAN_LIN, MP_CHACO_NONE } MPChacoLocalType;
1413 extern PetscErrorCode  MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1414 extern PetscErrorCode  MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1415 typedef enum { MP_CHACO_LANCZOS, MP_CHACO_RQI_SYMMLQ } MPChacoEigenType;
1416 extern PetscErrorCode  MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1417 extern PetscErrorCode  MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1418 extern PetscErrorCode  MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1419 
1420 #define MP_PARTY_OPT "opt"
1421 #define MP_PARTY_LIN "lin"
1422 #define MP_PARTY_SCA "sca"
1423 #define MP_PARTY_RAN "ran"
1424 #define MP_PARTY_GBF "gbf"
1425 #define MP_PARTY_GCF "gcf"
1426 #define MP_PARTY_BUB "bub"
1427 #define MP_PARTY_DEF "def"
1428 extern PetscErrorCode  MatPartitioningPartySetGlobal(MatPartitioning, const char*);
1429 #define MP_PARTY_HELPFUL_SETS "hs"
1430 #define MP_PARTY_KERNIGHAN_LIN "kl"
1431 #define MP_PARTY_NONE "no"
1432 extern PetscErrorCode  MatPartitioningPartySetLocal(MatPartitioning, const char*);
1433 extern PetscErrorCode  MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1434 extern PetscErrorCode  MatPartitioningPartySetBipart(MatPartitioning,PetscBool );
1435 extern PetscErrorCode  MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool );
1436 
1437 typedef enum { MP_SCOTCH_GREEDY, MP_SCOTCH_GPS, MP_SCOTCH_GR_GPS } MPScotchGlobalType;
1438 extern PetscErrorCode  MatPartitioningScotchSetArch(MatPartitioning,const char*);
1439 extern PetscErrorCode  MatPartitioningScotchSetMultilevel(MatPartitioning);
1440 extern PetscErrorCode  MatPartitioningScotchSetGlobal(MatPartitioning,MPScotchGlobalType);
1441 extern PetscErrorCode  MatPartitioningScotchSetCoarseLevel(MatPartitioning,PetscReal);
1442 extern PetscErrorCode  MatPartitioningScotchSetHostList(MatPartitioning,const char*);
1443 typedef enum { MP_SCOTCH_KERNIGHAN_LIN, MP_SCOTCH_NONE } MPScotchLocalType;
1444 extern PetscErrorCode  MatPartitioningScotchSetLocal(MatPartitioning,MPScotchLocalType);
1445 extern PetscErrorCode  MatPartitioningScotchSetMapping(MatPartitioning);
1446 extern PetscErrorCode  MatPartitioningScotchSetStrategy(MatPartitioning,char*);
1447 
1448 extern PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1449 extern PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1450 
1451 /*
1452     If you add entries here you must also add them to finclude/petscmat.h
1453 */
1454 typedef enum { MATOP_SET_VALUES=0,
1455                MATOP_GET_ROW=1,
1456                MATOP_RESTORE_ROW=2,
1457                MATOP_MULT=3,
1458                MATOP_MULT_ADD=4,
1459                MATOP_MULT_TRANSPOSE=5,
1460                MATOP_MULT_TRANSPOSE_ADD=6,
1461                MATOP_SOLVE=7,
1462                MATOP_SOLVE_ADD=8,
1463                MATOP_SOLVE_TRANSPOSE=9,
1464                MATOP_SOLVE_TRANSPOSE_ADD=10,
1465                MATOP_LUFACTOR=11,
1466                MATOP_CHOLESKYFACTOR=12,
1467                MATOP_SOR=13,
1468                MATOP_TRANSPOSE=14,
1469                MATOP_GETINFO=15,
1470                MATOP_EQUAL=16,
1471                MATOP_GET_DIAGONAL=17,
1472                MATOP_DIAGONAL_SCALE=18,
1473                MATOP_NORM=19,
1474                MATOP_ASSEMBLY_BEGIN=20,
1475                MATOP_ASSEMBLY_END=21,
1476                MATOP_SET_OPTION=22,
1477                MATOP_ZERO_ENTRIES=23,
1478                MATOP_ZERO_ROWS=24,
1479                MATOP_LUFACTOR_SYMBOLIC=25,
1480                MATOP_LUFACTOR_NUMERIC=26,
1481                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1482                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1483                MATOP_SETUP_PREALLOCATION=29,
1484                MATOP_ILUFACTOR_SYMBOLIC=30,
1485                MATOP_ICCFACTOR_SYMBOLIC=31,
1486                MATOP_GET_ARRAY=32,
1487                MATOP_RESTORE_ARRAY=33,
1488                MATOP_DUPLICATE=34,
1489                MATOP_FORWARD_SOLVE=35,
1490                MATOP_BACKWARD_SOLVE=36,
1491                MATOP_ILUFACTOR=37,
1492                MATOP_ICCFACTOR=38,
1493                MATOP_AXPY=39,
1494                MATOP_GET_SUBMATRICES=40,
1495                MATOP_INCREASE_OVERLAP=41,
1496                MATOP_GET_VALUES=42,
1497                MATOP_COPY=43,
1498                MATOP_GET_ROW_MAX=44,
1499                MATOP_SCALE=45,
1500                MATOP_SHIFT=46,
1501                MATOP_DIAGONAL_SET=47,
1502                MATOP_ILUDT_FACTOR=48,
1503                MATOP_SET_BLOCK_SIZE=49,
1504                MATOP_GET_ROW_IJ=50,
1505                MATOP_RESTORE_ROW_IJ=51,
1506                MATOP_GET_COLUMN_IJ=52,
1507                MATOP_RESTORE_COLUMN_IJ=53,
1508                MATOP_FDCOLORING_CREATE=54,
1509                MATOP_COLORING_PATCH=55,
1510                MATOP_SET_UNFACTORED=56,
1511                MATOP_PERMUTE=57,
1512                MATOP_SET_VALUES_BLOCKED=58,
1513                MATOP_GET_SUBMATRIX=59,
1514                MATOP_DESTROY=60,
1515                MATOP_VIEW=61,
1516                MATOP_CONVERT_FROM=62,
1517                MATOP_USE_SCALED_FORM=63,
1518                MATOP_SCALE_SYSTEM=64,
1519                MATOP_UNSCALE_SYSTEM=65,
1520                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1521                MATOP_SET_VALUES_LOCAL=67,
1522                MATOP_ZERO_ROWS_LOCAL=68,
1523                MATOP_GET_ROW_MAX_ABS=69,
1524                MATOP_GET_ROW_MIN_ABS=70,
1525                MATOP_CONVERT=71,
1526                MATOP_SET_COLORING=72,
1527                MATOP_SET_VALUES_ADIC=73,
1528                MATOP_SET_VALUES_ADIFOR=74,
1529                MATOP_FD_COLORING_APPLY=75,
1530                MATOP_SET_FROM_OPTIONS=76,
1531                MATOP_MULT_CON=77,
1532                MATOP_MULT_TRANSPOSE_CON=78,
1533                MATOP_PERMUTE_SPARSIFY=79,
1534                MATOP_MULT_MULTIPLE=80,
1535                MATOP_SOLVE_MULTIPLE=81,
1536                MATOP_GET_INERTIA=82,
1537                MATOP_LOAD=83,
1538                MATOP_IS_SYMMETRIC=84,
1539                MATOP_IS_HERMITIAN=85,
1540                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1541                MATOP_DUMMY=87,
1542                MATOP_GET_VECS=88,
1543                MATOP_MAT_MULT=89,
1544                MATOP_MAT_MULT_SYMBOLIC=90,
1545                MATOP_MAT_MULT_NUMERIC=91,
1546                MATOP_PTAP=92,
1547                MATOP_PTAP_SYMBOLIC=93,
1548                MATOP_PTAP_NUMERIC=94,
1549                MATOP_MAT_MULTTRANSPOSE=95,
1550                MATOP_MAT_MULTTRANSPOSE_SYM=96,
1551                MATOP_MAT_MULTTRANSPOSE_NUM=97,
1552                MATOP_PTAP_SYMBOLIC_SEQAIJ=98,
1553                MATOP_PTAP_NUMERIC_SEQAIJ=99,
1554                MATOP_PTAP_SYMBOLIC_MPIAIJ=100,
1555                MATOP_PTAP_NUMERIC_MPIAIJ=101,
1556                MATOP_CONJUGATE=102,
1557                MATOP_SET_SIZES=103,
1558                MATOP_SET_VALUES_ROW=104,
1559                MATOP_REAL_PART=105,
1560                MATOP_IMAG_PART=106,
1561                MATOP_GET_ROW_UTRIANGULAR=107,
1562                MATOP_RESTORE_ROW_UTRIANGULAR=108,
1563                MATOP_MATSOLVE=109,
1564                MATOP_GET_REDUNDANTMATRIX=110,
1565                MATOP_GET_ROW_MIN=111,
1566                MATOP_GET_COLUMN_VEC=112,
1567                MATOP_MISSING_DIAGONAL=113,
1568                MATOP_MATGETSEQNONZEROSTRUCTURE=114,
1569                MATOP_CREATE=115,
1570                MATOP_GET_GHOSTS=116,
1571                MATOP_GET_LOCALSUBMATRIX=117,
1572                MATOP_RESTORE_LOCALSUBMATRIX=118,
1573                MATOP_MULT_DIAGONAL_BLOCK=119,
1574                MATOP_HERMITIANTRANSPOSE=120,
1575                MATOP_MULTHERMITIANTRANSPOSE=121,
1576                MATOP_MULTHERMITIANTRANSPOSEADD=122,
1577                MATOP_GETMULTIPROCBLOCK=123,
1578                MATOP_GETCOLUMNNORMS=125,
1579 	       MATOP_GET_SUBMATRICES_PARALLEL=128
1580              } MatOperation;
1581 extern PetscErrorCode  MatHasOperation(Mat,MatOperation,PetscBool *);
1582 extern PetscErrorCode  MatShellSetOperation(Mat,MatOperation,void(*)(void));
1583 extern PetscErrorCode  MatShellGetOperation(Mat,MatOperation,void(**)(void));
1584 extern PetscErrorCode  MatShellSetContext(Mat,void*);
1585 
1586 /*
1587    Codes for matrices stored on disk. By default they are
1588    stored in a universal format. By changing the format with
1589    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1590    be stored in a way natural for the matrix, for example dense matrices
1591    would be stored as dense. Matrices stored this way may only be
1592    read into matrices of the same type.
1593 */
1594 #define MATRIX_BINARY_FORMAT_DENSE -1
1595 
1596 extern PetscErrorCode  MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1597 extern PetscErrorCode  MatISGetLocalMat(Mat,Mat*);
1598 
1599 /*S
1600      MatNullSpace - Object that removes a null space from a vector, i.e.
1601          orthogonalizes the vector to a subsapce
1602 
1603    Level: advanced
1604 
1605   Concepts: matrix; linear operator, null space
1606 
1607   Users manual sections:
1608 .   sec_singular
1609 
1610 .seealso:  MatNullSpaceCreate()
1611 S*/
1612 typedef struct _p_MatNullSpace* MatNullSpace;
1613 
1614 extern PetscErrorCode  MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1615 extern PetscErrorCode  MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1616 extern PetscErrorCode  MatNullSpaceDestroy(MatNullSpace*);
1617 extern PetscErrorCode  MatNullSpaceRemove(MatNullSpace,Vec,Vec*);
1618 extern PetscErrorCode  MatNullSpaceAttach(Mat,MatNullSpace);
1619 extern PetscErrorCode  MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1620 extern PetscErrorCode  MatNullSpaceView(MatNullSpace,PetscViewer);
1621 
1622 extern PetscErrorCode  MatReorderingSeqSBAIJ(Mat,IS);
1623 extern PetscErrorCode  MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1624 extern PetscErrorCode  MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1625 extern PetscErrorCode  MatSeqBAIJInvertBlockDiagonal(Mat);
1626 
1627 extern PetscErrorCode  MatCreateMAIJ(Mat,PetscInt,Mat*);
1628 extern PetscErrorCode  MatMAIJRedimension(Mat,PetscInt,Mat*);
1629 extern PetscErrorCode  MatMAIJGetAIJ(Mat,Mat*);
1630 
1631 extern PetscErrorCode  MatComputeExplicitOperator(Mat,Mat*);
1632 
1633 extern PetscErrorCode  MatDiagonalScaleLocal(Mat,Vec);
1634 
1635 extern PetscErrorCode  MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1636 extern PetscErrorCode  MatMFFDSetBase(Mat,Vec,Vec);
1637 extern PetscErrorCode  MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1638 extern PetscErrorCode  MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1639 extern PetscErrorCode  MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1640 extern PetscErrorCode  MatMFFDAddNullSpace(Mat,MatNullSpace);
1641 extern PetscErrorCode  MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1642 extern PetscErrorCode  MatMFFDResetHHistory(Mat);
1643 extern PetscErrorCode  MatMFFDSetFunctionError(Mat,PetscReal);
1644 extern PetscErrorCode  MatMFFDSetPeriod(Mat,PetscInt);
1645 extern PetscErrorCode  MatMFFDGetH(Mat,PetscScalar *);
1646 extern PetscErrorCode  MatMFFDSetOptionsPrefix(Mat,const char[]);
1647 extern PetscErrorCode  MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1648 extern PetscErrorCode  MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1649 
1650 /*S
1651     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1652               Jacobian vector products
1653 
1654     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1655 
1656            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1657 
1658     Level: developer
1659 
1660 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1661 S*/
1662 typedef struct _p_MatMFFD* MatMFFD;
1663 
1664 /*E
1665     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1666 
1667    Level: beginner
1668 
1669 .seealso: MatMFFDSetType(), MatMFFDRegister()
1670 E*/
1671 #define MatMFFDType char*
1672 #define MATMFFD_DS  "ds"
1673 #define MATMFFD_WP  "wp"
1674 
1675 extern PetscErrorCode  MatMFFDSetType(Mat,const MatMFFDType);
1676 extern PetscErrorCode  MatMFFDRegister(const char[],const char[],const char[],PetscErrorCode (*)(MatMFFD));
1677 
1678 /*MC
1679    MatMFFDRegisterDynamic - Adds a method to the MatMFFD registry.
1680 
1681    Synopsis:
1682    PetscErrorCode MatMFFDRegisterDynamic(const char *name_solver,const char *path,const char *name_create,PetscErrorCode (*routine_create)(MatMFFD))
1683 
1684    Not Collective
1685 
1686    Input Parameters:
1687 +  name_solver - name of a new user-defined compute-h module
1688 .  path - path (either absolute or relative) the library containing this solver
1689 .  name_create - name of routine to create method context
1690 -  routine_create - routine to create method context
1691 
1692    Level: developer
1693 
1694    Notes:
1695    MatMFFDRegisterDynamic() may be called multiple times to add several user-defined solvers.
1696 
1697    If dynamic libraries are used, then the fourth input argument (routine_create)
1698    is ignored.
1699 
1700    Sample usage:
1701 .vb
1702    MatMFFDRegisterDynamic("my_h",/home/username/my_lib/lib/libO/solaris/mylib.a,
1703                "MyHCreate",MyHCreate);
1704 .ve
1705 
1706    Then, your solver can be chosen with the procedural interface via
1707 $     MatMFFDSetType(mfctx,"my_h")
1708    or at runtime via the option
1709 $     -snes_mf_type my_h
1710 
1711 .keywords: MatMFFD, register
1712 
1713 .seealso: MatMFFDRegisterAll(), MatMFFDRegisterDestroy()
1714 M*/
1715 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1716 #define MatMFFDRegisterDynamic(a,b,c,d) MatMFFDRegister(a,b,c,0)
1717 #else
1718 #define MatMFFDRegisterDynamic(a,b,c,d) MatMFFDRegister(a,b,c,d)
1719 #endif
1720 
1721 extern PetscErrorCode  MatMFFDRegisterAll(const char[]);
1722 extern PetscErrorCode  MatMFFDRegisterDestroy(void);
1723 extern PetscErrorCode  MatMFFDDSSetUmin(Mat,PetscReal);
1724 extern PetscErrorCode  MatMFFDWPSetComputeNormU(Mat,PetscBool );
1725 
1726 
1727 extern PetscErrorCode  PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1728 extern PetscErrorCode  PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1729 
1730 /*
1731    PETSc interface to MUMPS
1732 */
1733 #ifdef PETSC_HAVE_MUMPS
1734 extern PetscErrorCode  MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1735 #endif
1736 
1737 /*
1738    PETSc interface to SUPERLU
1739 */
1740 #ifdef PETSC_HAVE_SUPERLU
1741 extern PetscErrorCode  MatSuperluSetILUDropTol(Mat,PetscReal);
1742 #endif
1743 
1744 #if defined(PETSC_HAVE_CUSP)
1745 extern PetscErrorCode  MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1746 extern PetscErrorCode  MatCreateMPIAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1747 #endif
1748 
1749 /*
1750    PETSc interface to FFTW
1751 */
1752 #if defined(PETSC_HAVE_FFTW)
1753 extern PetscErrorCode InputTransformFFT(Mat,Vec,Vec);
1754 extern PetscErrorCode OutputTransformFFT(Mat,Vec,Vec);
1755 extern PetscErrorCode MatGetVecsFFTW(Mat,Vec*,Vec*,Vec*);
1756 #endif
1757 
1758 extern PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1759 extern PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1760 extern PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1761 extern PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1762 extern PetscErrorCode MatNestSetVecType(Mat,const VecType);
1763 extern PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1764 extern PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1765 
1766 PETSC_EXTERN_CXX_END
1767 #endif
1768