xref: /petsc/include/petscmat.h (revision cf82b6813693e6da8d198fa0f8167be8f2943ad2)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #ifndef PETSCMAT_H
5 #define PETSCMAT_H
6 #include <petscvec.h>
7 
8 /*S
9      Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
10            an explicit sparse representation (such as matrix-free operators)
11 
12    Level: beginner
13 
14 .seealso:  MatCreate(), MatType, MatSetType(), MatDestroy()
15 S*/
16 typedef struct _p_Mat*           Mat;
17 
18 /*J
19     MatType - String with the name of a PETSc matrix type
20 
21    Level: beginner
22 
23 .seealso: MatSetType(), Mat, MatSolverType, MatRegister()
24 J*/
25 typedef const char* MatType;
26 #define MATSAME            "same"
27 #define MATMAIJ            "maij"
28 #define MATSEQMAIJ         "seqmaij"
29 #define MATMPIMAIJ         "mpimaij"
30 #define MATKAIJ            "kaij"
31 #define MATSEQKAIJ         "seqkaij"
32 #define MATMPIKAIJ         "mpikaij"
33 #define MATIS              "is"
34 #define MATAIJ             "aij"
35 #define MATSEQAIJ          "seqaij"
36 #define MATMPIAIJ          "mpiaij"
37 #define MATAIJCRL          "aijcrl"
38 #define MATSEQAIJCRL       "seqaijcrl"
39 #define MATMPIAIJCRL       "mpiaijcrl"
40 #define MATAIJCUSPARSE     "aijcusparse"
41 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
42 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
43 #define MATAIJKOKKOS       "aijkokkos"
44 #define MATSEQAIJKOKKOS    "seqaijkokkos"
45 #define MATMPIAIJKOKKOS    "mpiaijkokkos"
46 #define MATAIJVIENNACL     "aijviennacl"
47 #define MATSEQAIJVIENNACL  "seqaijviennacl"
48 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
49 #define MATAIJPERM         "aijperm"
50 #define MATSEQAIJPERM      "seqaijperm"
51 #define MATMPIAIJPERM      "mpiaijperm"
52 #define MATAIJSELL         "aijsell"
53 #define MATSEQAIJSELL      "seqaijsell"
54 #define MATMPIAIJSELL      "mpiaijsell"
55 #define MATAIJMKL          "aijmkl"
56 #define MATSEQAIJMKL       "seqaijmkl"
57 #define MATMPIAIJMKL       "mpiaijmkl"
58 #define MATBAIJMKL         "baijmkl"
59 #define MATSEQBAIJMKL      "seqbaijmkl"
60 #define MATMPIBAIJMKL      "mpibaijmkl"
61 #define MATSHELL           "shell"
62 #define MATCENTERING       "centering"
63 #define MATDENSE           "dense"
64 #define MATDENSECUDA       "densecuda"
65 #define MATSEQDENSE        "seqdense"
66 #define MATSEQDENSECUDA    "seqdensecuda"
67 #define MATMPIDENSE        "mpidense"
68 #define MATMPIDENSECUDA    "mpidensecuda"
69 #define MATELEMENTAL       "elemental"
70 #define MATSCALAPACK       "scalapack"
71 #define MATBAIJ            "baij"
72 #define MATSEQBAIJ         "seqbaij"
73 #define MATMPIBAIJ         "mpibaij"
74 #define MATMPIADJ          "mpiadj"
75 #define MATSBAIJ           "sbaij"
76 #define MATSEQSBAIJ        "seqsbaij"
77 #define MATMPISBAIJ        "mpisbaij"
78 #define MATMFFD            "mffd"
79 #define MATNORMAL          "normal"
80 #define MATNORMALHERMITIAN "normalh"
81 #define MATLRC             "lrc"
82 #define MATSCATTER         "scatter"
83 #define MATBLOCKMAT        "blockmat"
84 #define MATCOMPOSITE       "composite"
85 #define MATFFT             "fft"
86 #define MATFFTW            "fftw"
87 #define MATSEQCUFFT        "seqcufft"
88 #define MATTRANSPOSEMAT    "transpose"
89 #define MATSCHURCOMPLEMENT "schurcomplement"
90 #define MATPYTHON          "python"
91 #define MATHYPRE           "hypre"
92 #define MATHYPRESTRUCT     "hyprestruct"
93 #define MATHYPRESSTRUCT    "hypresstruct"
94 #define MATSUBMATRIX       "submatrix"
95 #define MATLOCALREF        "localref"
96 #define MATNEST            "nest"
97 #define MATPREALLOCATOR    "preallocator"
98 #define MATSELL            "sell"
99 #define MATSEQSELL         "seqsell"
100 #define MATMPISELL         "mpisell"
101 #define MATDUMMY           "dummy"
102 #define MATLMVM            "lmvm"
103 #define MATLMVMDFP         "lmvmdfp"
104 #define MATLMVMBFGS        "lmvmbfgs"
105 #define MATLMVMSR1         "lmvmsr1"
106 #define MATLMVMBROYDEN     "lmvmbroyden"
107 #define MATLMVMBADBROYDEN  "lmvmbadbroyden"
108 #define MATLMVMSYMBROYDEN  "lmvmsymbroyden"
109 #define MATLMVMSYMBADBROYDEN "lmvmsymbadbroyden"
110 #define MATLMVMDIAGBROYDEN   "lmvmdiagbroyden"
111 #define MATCONSTANTDIAGONAL  "constantdiagonal"
112 #define MATHTOOL           "htool"
113 #define MATH2OPUS          "h2opus"
114 
115 /*J
116     MatSolverType - String with the name of a PETSc matrix solver type.
117 
118     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
119 
120    Level: beginner
121 
122    Notes:  MATSOLVERUMFPACK, MATSOLVERCHOLMOD, MATSOLVERKLU, MATSOLVERSPQR form the SuiteSparse package for which you can use --download-suitesparse
123 
124 .seealso: MatGetFactor(), PCFactorSetMatSolverType(), PCFactorGetMatSolverType()
125 J*/
126 typedef const char* MatSolverType;
127 #define MATSOLVERSUPERLU          "superlu"
128 #define MATSOLVERSUPERLU_DIST     "superlu_dist"
129 #define MATSOLVERSTRUMPACK        "strumpack"
130 #define MATSOLVERUMFPACK          "umfpack"
131 #define MATSOLVERCHOLMOD          "cholmod"
132 #define MATSOLVERKLU              "klu"
133 #define MATSOLVERSPARSEELEMENTAL  "sparseelemental"
134 #define MATSOLVERELEMENTAL        "elemental"
135 #define MATSOLVERSCALAPACK        "scalapack"
136 #define MATSOLVERESSL             "essl"
137 #define MATSOLVERLUSOL            "lusol"
138 #define MATSOLVERMUMPS            "mumps"
139 #define MATSOLVERMKL_PARDISO      "mkl_pardiso"
140 #define MATSOLVERMKL_CPARDISO     "mkl_cpardiso"
141 #define MATSOLVERPASTIX           "pastix"
142 #define MATSOLVERMATLAB           "matlab"
143 #define MATSOLVERPETSC            "petsc"
144 #define MATSOLVERBAS              "bas"
145 #define MATSOLVERCUSPARSE         "cusparse"
146 #define MATSOLVERCUSPARSEBAND     "cusparseband"
147 #define MATSOLVERCUDA             "cuda"
148 #define MATSOLVERKOKKOS           "kokkos"
149 #define MATSOLVERKOKKOSDEVICE     "kokkosdevice"
150 #define MATSOLVERSPQR             "spqr"
151 
152 /*E
153     MatFactorType - indicates what type of factorization is requested
154 
155     Level: beginner
156 
157    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
158 
159 .seealso: MatSolverType, MatGetFactor(), MatGetFactorAvailable(), MatSolverTypeRegister()
160 E*/
161 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC, MAT_FACTOR_ILUDT, MAT_FACTOR_QR, MAT_FACTOR_NUM_TYPES} MatFactorType;
162 PETSC_EXTERN const char *const MatFactorTypes[];
163 
164 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,MatSolverType,MatFactorType,Mat*);
165 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,MatSolverType,MatFactorType,PetscBool *);
166 PETSC_EXTERN PetscErrorCode MatFactorGetCanUseOrdering(Mat, PetscBool*);
167 PETSC_DEPRECATED_FUNCTION("Use MatFactorGetCanUseOrdering() (since version 3.15)") PETSC_STATIC_INLINE PetscErrorCode MatFactorGetUseOrdering(Mat A,PetscBool *b) {return MatFactorGetCanUseOrdering(A,b);}
168 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat,MatSolverType*);
169 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
170 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat,MatFactorType);
171 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatSolverFunction)(Mat,MatFactorType,Mat*);
172 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType,MatType,MatFactorType,MatSolverFunction);
173 PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType,MatType,MatFactorType,PetscBool*,PetscBool*,MatSolverFunction*);
174 typedef MatSolverType MatSolverPackage PETSC_DEPRECATED_TYPEDEF("Use MatSolverType (since version 3.9)");
175 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeRegister() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSolverPackageRegister(MatSolverType stype,MatType mtype,MatFactorType ftype,MatSolverFunction f)
176 { return MatSolverTypeRegister(stype,mtype,ftype,f); }
177 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeGet() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSolverPackageGet(MatSolverType stype,MatType mtype,MatFactorType ftype,PetscBool *foundmtype,PetscBool *foundstype,MatSolverFunction *f)
178 { return MatSolverTypeGet(stype,mtype,ftype,foundmtype,foundstype,f); }
179 
180 /*E
181     MatProductType - indicates what type of matrix product is requested
182 
183     Level: beginner
184 
185 .seealso: MatSolverType, MatProductSetType()
186 E*/
187 typedef enum {MATPRODUCT_UNSPECIFIED=0,MATPRODUCT_AB,MATPRODUCT_AtB,MATPRODUCT_ABt,MATPRODUCT_PtAP,MATPRODUCT_RARt,MATPRODUCT_ABC} MatProductType;
188 PETSC_EXTERN const char *const MatProductTypes[];
189 
190 /*J
191     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
192 
193    Level: beginner
194 
195 .seealso: MatSetType(), Mat, MatSolverType, MatRegister(), MatProductSetAlgorithm(), MatProductType
196 J*/
197 typedef const char* MatProductAlgorithm;
198 #define MATPRODUCTALGORITHM_DEFAULT "default"
199 
200 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat,Mat,Mat,Mat*);
201 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat,Mat,Mat,Mat);
202 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat,MatProductType);
203 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat,MatProductAlgorithm);
204 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat,PetscReal);
205 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
206 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
207 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
208 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat,Mat,Mat,Mat);
209 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
210 PETSC_EXTERN PetscErrorCode MatProductView(Mat,PetscViewer);
211 
212 /* Logging support */
213 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
214 PETSC_EXTERN PetscClassId MAT_CLASSID;
215 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
216 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
217 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
218 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
219 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
220 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
221 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
222 
223 /*E
224     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
225      are to be reused to store the new matrix values.
226 
227 $  MAT_INITIAL_MATRIX - create a new matrix
228 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
229 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
230 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
231 
232     Level: beginner
233 
234    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
235 
236 .seealso: MatCreateSubMatrices(), MatCreateSubMatrix(), MatDestroyMatrices(), MatConvert()
237 E*/
238 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
239 
240 /*E
241     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
242      include the matrix values. Currently it is only used by MatGetSeqNonzeroStructure().
243 
244     Level: beginner
245 
246 .seealso: MatGetSeqNonzeroStructure()
247 E*/
248 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatCreateSubMatrixOption;
249 
250 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
251 
252 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
253 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
254 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
255 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat,VecType*);
256 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat,VecType);
257 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
258 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat,PetscObject,const char[]);
259 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
260 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[],const char[],const char[]);
261 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
262 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
263 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
264 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
265 
266 PETSC_EXTERN PetscFunctionList MatList;
267 PETSC_EXTERN PetscFunctionList MatColoringList;
268 PETSC_EXTERN PetscFunctionList MatPartitioningList;
269 
270 /*E
271     MatStructure - Indicates if two matrices have the same nonzero structure
272 
273     Level: beginner
274 
275 $  SAME_NONZERO_PATTERN  - the two matrices have identical nonzero patterns
276 $  DIFFERENT_NONZERO_PATTERN - the two matrices may have different nonzero patterns
277 $  SUBSET_NONZERO_PATTERN - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
278 $  UNKNOWN_NONZERO_PATTERN - there is no known relationship between the nonzero patterns. In this case the implementations may try to detect a relationship to optimize the operation
279 
280    Developer Notes:
281      Any additions/changes here MUST also be made in src/mat/f90-mod/petscmat.h
282 
283 .seealso: MatCopy(), MatAXPY(), MatAYPX()
284 E*/
285 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN,UNKNOWN_NONZERO_PATTERN} MatStructure;
286 PETSC_EXTERN const char *const MatStructures[];
287 
288 #if defined PETSC_HAVE_MKL_SPARSE
289 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
290 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
291 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
292 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
293 #endif
294 
295 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
296 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
297 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat,PetscInt,const PetscInt[]);
298 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
299 
300 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
301 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
302 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
303 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
304 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
305 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
306 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
307 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm,Mat,Mat,const PetscInt[],Mat*);
308 
309 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
310 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
311 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
312 
313 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat,PetscInt,const PetscInt[],const PetscInt[]);
314 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat,const PetscScalar[],InsertMode);
315 
316 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
317 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
318 
319 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
320 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
321 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
322 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
323 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
324 
325 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
326 PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm,PetscInt,PetscInt,Mat*);
327 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
328 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
329 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
330 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
331 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
332 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
333 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
334 
335 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
336 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
337 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
338 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
339 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
340 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
341 typedef enum {MAT_COMPOSITE_MERGE_RIGHT,MAT_COMPOSITE_MERGE_LEFT} MatCompositeMergeType;
342 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat,MatCompositeMergeType);
343 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
344 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
345 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
346 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat,MatCompositeType*);
347 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat,MatStructure);
348 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat,MatStructure*);
349 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat,PetscInt*);
350 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat,PetscInt,Mat*);
351 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat,const PetscScalar*);
352 
353 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
354 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
355 
356 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
357 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
358 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
359 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat,Mat*);
360 PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat,Mat*);
361 PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat,Mat*);
362 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
363 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
364 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
365 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar,Mat*);
366 
367 #if defined(PETSC_HAVE_HYPRE)
368 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
369 #endif
370 
371 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
372 
373 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
374 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
375 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
376 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
377 
378 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
379 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
380 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
381 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
382 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
383 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
384 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat,PetscInt,const PetscInt*,PetscScalar*);
385 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat,Mat);
386 
387 /* ------------------------------------------------------------*/
388 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
389 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
390 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
391 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
392 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
393 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
394 
395 /*S
396      MatStencil - Data structure (C struct) for storing information about a single row or
397         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
398 
399    The i,j, and k represent the logical coordinates over the entire grid (for 2 and 1 dimensional problems the k and j entries are ignored).
400    The c represents the the degrees of freedom at each grid point (the dof argument to DMDASetDOF()). If dof is 1 then this entry is ignored.
401 
402    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
403 
404    Fortran usage is different, see MatSetValuesStencil() for details.
405 
406    Level: beginner
407 
408 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
409 S*/
410 typedef struct {
411   PetscInt k,j,i,c;
412 } MatStencil;
413 
414 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
415 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
416 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
417 
418 /*E
419     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
420      to continue to add or insert values to it
421 
422     Level: beginner
423 
424 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
425 E*/
426 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
427 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
428 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
429 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
430 
431 /*E
432     MatOption - Options that may be set for a matrix and its behavior or storage
433 
434     Level: beginner
435 
436    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
437    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
438 
439    Developer Notes:
440     Entries that are negative need not be called collectively by all processes.
441 
442 .seealso: MatSetOption()
443 E*/
444 typedef enum {MAT_OPTION_MIN = -3,
445               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
446               MAT_ROW_ORIENTED = -1,
447               MAT_SYMMETRIC = 1,
448               MAT_STRUCTURALLY_SYMMETRIC = 2,
449               MAT_FORCE_DIAGONAL_ENTRIES = 3,
450               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
451               MAT_USE_HASH_TABLE = 5,
452               MAT_KEEP_NONZERO_PATTERN = 6,
453               MAT_IGNORE_ZERO_ENTRIES = 7,
454               MAT_USE_INODES = 8,
455               MAT_HERMITIAN = 9,
456               MAT_SYMMETRY_ETERNAL = 10,
457               MAT_NEW_NONZERO_LOCATION_ERR = 11,
458               MAT_IGNORE_LOWER_TRIANGULAR = 12,
459               MAT_ERROR_LOWER_TRIANGULAR = 13,
460               MAT_GETROW_UPPERTRIANGULAR = 14,
461               MAT_SPD = 15,
462               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
463               MAT_NO_OFF_PROC_ENTRIES = 17,
464               MAT_NEW_NONZERO_LOCATIONS = 18,
465               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
466               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
467               MAT_SUBMAT_SINGLEIS = 21,
468               MAT_STRUCTURE_ONLY = 22,
469               MAT_SORTED_FULL = 23,
470               MAT_FORM_EXPLICIT_TRANSPOSE = 24,
471               MAT_OPTION_MAX = 25} MatOption;
472 
473 PETSC_EXTERN const char *const *MatOptions;
474 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
475 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
476 PETSC_EXTERN PetscErrorCode MatPropagateSymmetryOptions(Mat,Mat);
477 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
478 
479 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
480 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
481 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
482 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
483 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
484 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
485 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
486 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArrayRead(Mat,const PetscScalar *[]);
487 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
488 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArrayRead(Mat,const PetscScalar *[]);
489 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
490 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
491 PETSC_EXTERN PetscErrorCode MatSeqAIJSetType(Mat,MatType);
492 PETSC_EXTERN PetscErrorCode MatSeqAIJKron(Mat,Mat,MatReuse,Mat*);
493 PETSC_EXTERN PetscErrorCode MatSeqAIJRegister(const char[],PetscErrorCode (*)(Mat,MatType,MatReuse,Mat *));
494 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
495 PETSC_EXTERN PetscErrorCode MatSeqBAIJGetArray(Mat,PetscScalar *[]);
496 PETSC_EXTERN PetscErrorCode MatSeqBAIJRestoreArray(Mat,PetscScalar *[]);
497 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
498 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
499 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
500 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
501 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
502 PETSC_EXTERN PetscErrorCode MatDenseReplaceArray(Mat,const PetscScalar[]);
503 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
504 PETSC_EXTERN PetscErrorCode MatDenseGetArrayRead(Mat,const PetscScalar *[]);
505 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayRead(Mat,const PetscScalar *[]);
506 PETSC_EXTERN PetscErrorCode MatDenseGetArrayWrite(Mat,PetscScalar *[]);
507 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayWrite(Mat,PetscScalar *[]);
508 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
509 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
510 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
511 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
512 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
513 PETSC_EXTERN PetscErrorCode MatSetVariableBlockSizes(Mat,PetscInt,PetscInt*);
514 PETSC_EXTERN PetscErrorCode MatGetVariableBlockSizes(Mat,PetscInt*,const PetscInt**);
515 
516 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat,PetscInt,PetscScalar*[]);
517 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat,PetscScalar*[]);
518 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat,PetscInt,Vec*);
519 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat,PetscInt,Vec*);
520 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat,PetscInt,Vec*);
521 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat,PetscInt,Vec*);
522 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat,PetscInt,Vec*);
523 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat,PetscInt,Vec*);
524 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat,PetscInt,PetscInt,Mat*);
525 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat,Mat*);
526 
527 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
528 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
529 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
530 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
531 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
532 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
533 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
534 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
535 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
536 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
537 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
538 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
539 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
540 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat,Mat,Mat);
541 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
542 
543 /*E
544     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
545   its numerical values copied over or just its nonzero structure.
546 
547     Level: beginner
548 
549    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
550 
551 $   MAT_DO_NOT_COPY_VALUES    - Create a matrix using the same nonzero pattern as the original matrix,
552 $                               with zeros for the numerical values.
553 $   MAT_COPY_VALUES           - Create a matrix with the same nonzero pattern as the original matrix
554 $                               and with the same numerical values.
555 $   MAT_SHARE_NONZERO_PATTERN - Create a matrix that shares the nonzero structure with the previous matrix
556 $                               and does not copy it, using zeros for the numerical values. The parent and
557 $                               child matrices will share their index (i and j) arrays, and you cannot
558 $                               insert new nonzero entries into either matrix.
559 
560 Notes:
561     Many matrix types (including SeqAIJ) do not support the MAT_SHARE_NONZERO_PATTERN optimization; in
562 this case the behavior is as if MAT_DO_NOT_COPY_VALUES has been specified.
563 
564 .seealso: MatDuplicate()
565 E*/
566 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
567 
568 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
569 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
570 
571 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
572 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
573 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
574 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
575 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
576 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
577 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
578 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
579 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
580 
581 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
582 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
583 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
584 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
585 
586 /*S
587      MatInfo - Context of matrix information, used with MatGetInfo()
588 
589    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
590 
591    Level: intermediate
592 
593 .seealso:  MatGetInfo(), MatInfoType
594 S*/
595 typedef struct {
596   PetscLogDouble block_size;                         /* block size */
597   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
598   PetscLogDouble memory;                             /* memory allocated */
599   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
600   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
601   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
602   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
603 } MatInfo;
604 
605 /*E
606     MatInfoType - Indicates if you want information about the local part of the matrix,
607      the entire parallel matrix or the maximum over all the local parts.
608 
609     Level: beginner
610 
611    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
612 
613 .seealso: MatGetInfo(), MatInfo
614 E*/
615 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
616 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
617 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
618 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
619 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
620 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
621 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
622 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
623 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
624 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
625 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
626 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
627 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
628 
629 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
630 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
631 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
632 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
633 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
634 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
635 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
636 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
637 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
638 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
639 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat,PetscInt,PetscBool*);
640 
641 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
642 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
643 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat,PetscScalar*);
644 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat,PetscReal*);
645 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat,PetscReal*);
646 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat,PetscScalar*);
647 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat,PetscReal*);
648 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat,PetscReal*);
649 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat,PetscInt,PetscReal*);
650 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
651 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
652 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
653 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
654 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
655 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
656 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
657 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
658 
659 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
660 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
661 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
662 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
663 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
664 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
665 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
666 
667 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
668 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatrices() (since version 3.8)") PETSC_STATIC_INLINE PetscErrorCode MatGetSubMatrices(Mat mat,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *submat[]) {return MatCreateSubMatrices(mat,n,irow,icol,scall,submat);}
669 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
670 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatricesMPI() (since version 3.8)") PETSC_STATIC_INLINE PetscErrorCode MatGetSubMatricesMPI(Mat mat,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *submat[]) {return MatCreateSubMatricesMPI(mat,n,irow,icol,scall,submat);}
671 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
672 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
673 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
674 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatrix() (since version 3.8)") PETSC_STATIC_INLINE PetscErrorCode MatGetSubMatrix(Mat mat,IS isrow,IS iscol,MatReuse cll,Mat *newmat) {return MatCreateSubMatrix(mat,isrow,iscol,cll,newmat);}
675 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
676 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
677 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
678 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
679 
680 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
681 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
682 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
683 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
684 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
685 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat,MatReuse,IS*,Mat*);
686 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
687 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
688 
689 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
690 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
691 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
692 
693 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
694 
695 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
696 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
697 
698 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
699 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
700 
701 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
702 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
703 
704 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
705 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
706 
707 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
708 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
709 
710 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
711 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
712 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
713 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat,PetscLayout,PetscLayout);
714 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
715 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
716 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
717 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
718 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
719 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
720 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
721 
722 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
723 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
724 
725 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
726 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
727 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
728 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat,Mat,Mat*);
729 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat,Mat,Mat,Mat*);
730 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat,Mat,Mat*);
731 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
732 PETSC_DEPRECATED_FUNCTION("Use MatCreateVecs() (since version 3.6)") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
733 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
734 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
735 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
736 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
737 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
738 
739 /*MC
740    MatSetValue - Set a single entry into a matrix.
741 
742    Not collective
743 
744    Synopsis:
745      #include <petscmat.h>
746      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
747 
748    Input Parameters:
749 +  m - the matrix
750 .  row - the row location of the entry
751 .  col - the column location of the entry
752 .  value - the value to insert
753 -  mode - either INSERT_VALUES or ADD_VALUES
754 
755    Notes:
756    For efficiency one should use MatSetValues() and set several values simultaneously.
757 
758    Level: beginner
759 
760 .seealso: MatGetValue(), MatSetValues(), MatSetValueLocal(), MatSetValuesLocal()
761 M*/
762 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
763 
764 /*@C
765    MatGetValue - Gets a single value from a matrix
766 
767    Not Collective; can only return a value owned by the given process
768 
769    Input Parameters:
770 +  mat - the matrix
771 .  row - the row location of the entry
772 -  col - the column location of the entry
773 
774    Output Parameter:
775 .  va - the value
776 
777    Notes:
778    For efficiency one should use MatGetValues() and get several values simultaneously.
779 
780    See notes for MatGetValues().
781 
782    Level: advanced
783 
784 .seealso: MatSetValue(), MatGetValueLocal(), MatGetValues()
785 @*/
786 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat mat,PetscInt row,PetscInt col,PetscScalar *va) {return MatGetValues(mat,1,&row,1,&col,va);}
787 
788 /*MC
789    MatSetValueLocal - Inserts or adds a single value into a matrix,
790    using a local numbering of the nodes.
791 
792    Not Collective
793 
794    Input Parameters:
795 +  m - the matrix
796 .  row - the row location of the entry
797 .  col - the column location of the entry
798 .  value - the value to insert
799 -  mode - either INSERT_VALUES or ADD_VALUES
800 
801    Notes:
802    For efficiency one should use MatSetValuesLocal() and set several values simultaneously.
803 
804    See notes for MatSetValuesLocal() for additional information on when and how this function can be used.
805 
806    Level: intermediate
807 
808 .seealso: MatSetValue(), MatSetValuesLocal()
809 M*/
810 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
811 
812 /*MC
813    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
814        row in a matrix providing the data that one can use to correctly preallocate the matrix.
815 
816    Synopsis:
817    #include <petscmat.h>
818    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
819 
820    Collective
821 
822    Input Parameters:
823 +  comm - the communicator that will share the eventually allocated matrix
824 .  nrows - the number of LOCAL rows in the matrix
825 -  ncols - the number of LOCAL columns in the matrix
826 
827    Output Parameters:
828 +  dnz - the array that will be passed to the matrix preallocation routines
829 -  onz - the other array passed to the matrix preallocation routines
830 
831    Level: intermediate
832 
833    Notes:
834     See Users-Manual: ch_performance for more details.
835 
836    Do not malloc or free dnz and onz, that is handled internally by these routines
837 
838    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
839 
840 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
841           MatPreallocateSymmetricSetLocalBlock()
842 M*/
843 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
844 do { \
845   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ncols = (ncols),__rstart,__start,__end; \
846   _4_ierr = PetscCalloc2((size_t)__nrows,&dnz,(size_t)__nrows,&onz);CHKERRQ(_4_ierr); \
847   __start = 0; __end = __start;                                         \
848   _4_ierr = MPI_Scan(&__ncols,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRMPI(_4_ierr); __start = __end - __ncols;\
849   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRMPI(_4_ierr); __rstart = __rstart - __nrows; \
850   do { } while (0)
851 
852 /*MC
853    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
854        inserted using a local number of the rows and columns
855 
856    Synopsis:
857    #include <petscmat.h>
858    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
859 
860    Not Collective
861 
862    Input Parameters:
863 +  map - the row mapping from local numbering to global numbering
864 .  nrows - the number of rows indicated
865 .  rows - the indices of the rows
866 .  cmap - the column mapping from local to global numbering
867 .  ncols - the number of columns in the matrix
868 .  cols - the columns indicated
869 .  dnz - the array that will be passed to the matrix preallocation routines
870 -  onz - the other array passed to the matrix preallocation routines
871 
872    Level: intermediate
873 
874    Notes:
875     See Users-Manual: ch_performance for more details.
876 
877    Do not malloc or free dnz and onz, that is handled internally by these routines
878 
879 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
880           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
881 M*/
882 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
883 do {\
884   PetscInt __l;\
885   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
886   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
887   for (__l=0;__l<nrows;__l++) {\
888     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
889   }\
890  } while (0)
891 
892 /*MC
893    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
894        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
895 
896    Synopsis:
897    #include <petscmat.h>
898    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
899 
900    Not Collective
901 
902    Input Parameters:
903 +  map - the row mapping from local numbering to global numbering
904 .  nrows - the number of rows indicated
905 .  rows - the indices of the rows (these values are mapped to the global values)
906 .  cmap - the column mapping from local to global numbering
907 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
908 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
909 .  dnz - the array that will be passed to the matrix preallocation routines
910 -  onz - the other array passed to the matrix preallocation routines
911 
912    Level: intermediate
913 
914    Notes:
915     See Users-Manual: ch_performance for more details.
916 
917    Do not malloc or free dnz and onz, that is handled internally by these routines
918 
919 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
920           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
921 M*/
922 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
923 do {\
924   PetscInt __l;\
925   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
926   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
927   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
928   for (__l=0;__l<nrows;__l++) {\
929     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
930   }\
931  } while (0)
932 
933 /*MC
934    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
935        inserted using a local number of the rows and columns
936 
937    Synopsis:
938    #include <petscmat.h>
939    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
940 
941    Not Collective
942 
943    Input Parameters:
944 +  map - the row mapping from local numbering to global numbering
945 .  nrows - the number of rows indicated
946 .  rows - the indices of the rows
947 .  cmap - the column mapping from local to global numbering
948 .  ncols - the number of columns in the matrix
949 .  cols - the columns indicated
950 .  dnz - the array that will be passed to the matrix preallocation routines
951 -  onz - the other array passed to the matrix preallocation routines
952 
953    Level: intermediate
954 
955    Notes:
956     See Users-Manual: ch_performance for more details.
957 
958    Do not malloc or free dnz and onz, that is handled internally by these routines
959 
960 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
961           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
962 M*/
963 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
964 do {\
965   PetscInt __l;\
966   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
967   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
968   for (__l=0;__l<nrows;__l++) {\
969     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
970   }\
971 } while (0)
972 
973 /*MC
974    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
975        inserted using a local number of the rows and columns
976 
977    Synopsis:
978    #include <petscmat.h>
979    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
980 
981    Not Collective
982 
983    Input Parameters:
984 +  map - the mapping between local numbering and global numbering
985 .  nrows - the number of rows indicated
986 .  rows - the indices of the rows
987 .  ncols - the number of columns in the matrix
988 .  cols - the columns indicated
989 .  dnz - the array that will be passed to the matrix preallocation routines
990 -  onz - the other array passed to the matrix preallocation routines
991 
992    Level: intermediate
993 
994    Notes:
995     See Users-Manual: ch_performance for more details.
996 
997    Do not malloc or free dnz and onz that is handled internally by these routines
998 
999 .seealso: MatPreallocateFinalize(), MatPreallocateSet()
1000           MatPreallocateInitialize(),  MatPreallocateSetLocal()
1001 M*/
1002 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
1003 do {\
1004   PetscInt __l;\
1005   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
1006   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
1007   for (__l=0;__l<nrows;__l++) {\
1008     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
1009   }\
1010 } while (0)
1011 
1012 /*MC
1013    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1014        inserted using a local number of the rows and columns
1015 
1016    Synopsis:
1017    #include <petscmat.h>
1018    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1019 
1020    Not Collective
1021 
1022    Input Parameters:
1023 +  row - the row
1024 .  ncols - the number of columns in the matrix
1025 -  cols - the columns indicated
1026 
1027    Output Parameters:
1028 +  dnz - the array that will be passed to the matrix preallocation routines
1029 -  onz - the other array passed to the matrix preallocation routines
1030 
1031    Level: intermediate
1032 
1033    Notes:
1034     See Users-Manual: ch_performance for more details.
1035 
1036    Do not malloc or free dnz and onz that is handled internally by these routines
1037 
1038    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
1039 
1040 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
1041           MatPreallocateInitialize(), MatPreallocateSetLocal()
1042 M*/
1043 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
1044 do { PetscInt __i; \
1045   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);\
1046   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);\
1047   for (__i=0; __i<nc; __i++) {\
1048     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1049     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
1050   }\
1051 } while (0)
1052 
1053 /*MC
1054    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1055        inserted using a local number of the rows and columns
1056 
1057    Synopsis:
1058    #include <petscmat.h>
1059    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1060 
1061    Not Collective
1062 
1063    Input Parameters:
1064 +  nrows - the number of rows indicated
1065 .  rows - the indices of the rows
1066 .  ncols - the number of columns in the matrix
1067 .  cols - the columns indicated
1068 .  dnz - the array that will be passed to the matrix preallocation routines
1069 -  onz - the other array passed to the matrix preallocation routines
1070 
1071    Level: intermediate
1072 
1073    Notes:
1074     See Users-Manual: ch_performance for more details.
1075 
1076    Do not malloc or free dnz and onz that is handled internally by these routines
1077 
1078    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
1079 
1080 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
1081           MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
1082 M*/
1083 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
1084 do { PetscInt __i; \
1085   for (__i=0; __i<nc; __i++) {\
1086     if (cols[__i] >= __end) onz[row - __rstart]++; \
1087     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
1088   }\
1089 } while (0)
1090 
1091 /*MC
1092    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1093 
1094    Synopsis:
1095    #include <petscmat.h>
1096    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1097 
1098    Not Collective
1099 
1100    Input Parameters:
1101 +  A - matrix
1102 .  row - row where values exist (must be local to this process)
1103 .  ncols - number of columns
1104 .  cols - columns with nonzeros
1105 .  dnz - the array that will be passed to the matrix preallocation routines
1106 -  onz - the other array passed to the matrix preallocation routines
1107 
1108    Level: intermediate
1109 
1110    Notes:
1111     See Users-Manual: ch_performance for more details.
1112 
1113    Do not malloc or free dnz and onz that is handled internally by these routines
1114 
1115    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
1116 
1117 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1118           MatPreallocateSymmetricSetLocalBlock()
1119 M*/
1120 #define MatPreallocateLocation(A,row,ncols,cols,dnz,onz) 0; do {if (A) {ierr = MatSetValues(A,1,&row,ncols,cols,NULL,INSERT_VALUES);CHKERRQ(ierr);} else {ierr =  MatPreallocateSet(row,ncols,cols,dnz,onz);CHKERRQ(ierr);}} while (0)
1121 
1122 /*MC
1123    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
1124        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1125 
1126    Synopsis:
1127    #include <petscmat.h>
1128    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
1129 
1130    Collective
1131 
1132    Input Parameters:
1133 +  dnz - the array that was be passed to the matrix preallocation routines
1134 -  onz - the other array passed to the matrix preallocation routines
1135 
1136    Level: intermediate
1137 
1138    Notes:
1139     See Users-Manual: ch_performance for more details.
1140 
1141    Do not malloc or free dnz and onz that is handled internally by these routines
1142 
1143    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
1144 
1145 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1146           MatPreallocateSymmetricSetLocalBlock()
1147 M*/
1148 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);} while (0)
1149 
1150 /* Routines unique to particular data structures */
1151 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
1152 
1153 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
1154 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1155 
1156 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1157 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1158 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1159 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1160 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1161 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
1162 
1163 #define MAT_SKIP_ALLOCATION -4
1164 
1165 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1166 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1167 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1168 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat,PetscInt);
1169 
1170 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1171 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1172 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1173 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1174 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1175 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1176 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1177 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1178 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat,Mat*);
1179 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1180 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1181 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1182 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1183 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1184 
1185 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat,PetscInt*);
1186 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat,PetscInt);
1187 PETSC_DEPRECATED_FUNCTION("Use MatDenseSetLDA() (since version 3.14)") PETSC_STATIC_INLINE PetscErrorCode MatSeqDenseSetLDA(Mat A,PetscInt lda) {return MatDenseSetLDA(A,lda);}
1188 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1189 
1190 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1191 
1192 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1193 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1194 
1195 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1196 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1197 /*
1198   These routines are not usually accessed directly, rather solving is
1199   done through the KSP and PC interfaces.
1200 */
1201 
1202 /*J
1203     MatOrderingType - String with the name of a PETSc matrix ordering
1204 
1205    Level: beginner
1206 
1207    Notes:
1208       If MATORDERINGEXTERNAL is used then PETSc does not compute an ordering and utilizes one built into the factorization package
1209 
1210 .seealso: MatGetOrdering()
1211 J*/
1212 typedef const char* MatOrderingType;
1213 #define MATORDERINGNATURAL        "natural"
1214 #define MATORDERINGND             "nd"
1215 #define MATORDERING1WD            "1wd"
1216 #define MATORDERINGRCM            "rcm"
1217 #define MATORDERINGQMD            "qmd"
1218 #define MATORDERINGROWLENGTH      "rowlength"
1219 #define MATORDERINGWBM            "wbm"
1220 #define MATORDERINGSPECTRAL       "spectral"
1221 #define MATORDERINGAMD            "amd"            /* only works if UMFPACK is installed with PETSc */
1222 #define MATORDERINGNATURAL_OR_ND  "natural_or_nd"  /* special coase used for Cholesky and ICC, allows ND when AIJ matrix is used but Natural when SBAIJ is used */
1223 #define MATORDERINGEXTERNAL       "external"       /* uses an ordering type internal to the factorization package */
1224 
1225 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1226 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1227 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1228 PETSC_EXTERN PetscFunctionList MatOrderingList;
1229 
1230 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1231 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1232 
1233 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat,MatFactorType,MatOrderingType*);
1234 
1235 /*S
1236     MatFactorShiftType - Numeric Shift for factorizations
1237 
1238    Level: beginner
1239 
1240 .seealso: MatGetFactor()
1241 S*/
1242 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1243 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1244 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1245 
1246 /*S
1247     MatFactorError - indicates what type of error was generated in a matrix factorization
1248 
1249     Level: beginner
1250 
1251     Developer Notes:
1252     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1253 
1254 .seealso: MatGetFactor()
1255 S*/
1256 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1257 
1258 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1259 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1260 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1261 
1262 /*S
1263    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1264 
1265    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1266 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1267 
1268    Notes:
1269     These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1270 
1271       You can use MatFactorInfoInitialize() to set default values.
1272 
1273    Level: developer
1274 
1275 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1276           MatFactorInfoInitialize()
1277 
1278 S*/
1279 typedef struct {
1280   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1281   PetscReal     usedt;
1282   PetscReal     dt;             /* drop tolerance */
1283   PetscReal     dtcol;          /* tolerance for pivoting */
1284   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1285   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1286   PetscReal     levels;         /* ICC/ILU(levels) */
1287   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1288                                    factorization may be faster if do not pivot */
1289   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1290   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1291   PetscReal     shiftamount;     /* how large the shift is */
1292 } MatFactorInfo;
1293 
1294 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1295 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1296 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1297 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1298 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1299 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1300 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1301 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1302 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1303 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1304 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1305 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat,IS,const MatFactorInfo*);
1306 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1307 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat,Mat,const MatFactorInfo*);
1308 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1309 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1310 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1311 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1312 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1313 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1314 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1315 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1316 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1317 
1318 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1319 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1320 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1321 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1322 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1323 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1324 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1325 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1326 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1327 
1328 /*E
1329     MatSORType - What type of (S)SOR to perform
1330 
1331     Level: beginner
1332 
1333    May be bitwise ORd together
1334 
1335    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1336 
1337    MatSORType may be bitwise ORd together, so do not change the numbers
1338 
1339 .seealso: MatSOR()
1340 E*/
1341 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1342               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1343               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1344               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1345 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1346 
1347 /*
1348     These routines are for efficiently computing Jacobians via finite differences.
1349 */
1350 
1351 /*S
1352      MatColoring - Object for managing the coloring of matrices.
1353 
1354    Level: beginner
1355 
1356     Notes:
1357        Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the MatColoring object or from the mesh from which the
1358        matrix comes from via DMCreateColoring(). In general using the mesh produces a more optimal coloring (fewer colors).
1359 
1360        Once a coloring is available MatFDColoringCreate() creates an object that can be used to efficiently compute Jacobians using that coloring. This
1361        same object can also be used to efficiently convert data created by Automatic Differentation tools to PETSc sparse matrices.
1362 
1363 .seealso:  MatFDColoringCreate(), MatColoringWeightType, ISColoring, MatFDColoring, DMCreateColoring(), MatColoringCreate(), MatOrdering, MatPartitioning, MatColoringType
1364 S*/
1365 typedef struct _p_MatColoring* MatColoring;
1366 
1367 /*J
1368     MatColoringType - String with the name of a PETSc matrix coloring
1369 
1370    Level: beginner
1371 
1372 .seealso: MatColoringSetType(), MatColoring
1373 J*/
1374 typedef const  char*           MatColoringType;
1375 #define MATCOLORINGJP      "jp"
1376 #define MATCOLORINGPOWER   "power"
1377 #define MATCOLORINGNATURAL "natural"
1378 #define MATCOLORINGSL      "sl"
1379 #define MATCOLORINGLF      "lf"
1380 #define MATCOLORINGID      "id"
1381 #define MATCOLORINGGREEDY  "greedy"
1382 
1383 /*E
1384    MatColoringWeightType - Type of weight scheme
1385 
1386     Not Collective
1387 
1388 +   MAT_COLORING_RANDOM  - Random weights
1389 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1390 -   MAT_COLORING_LF      - Last-first weighting.
1391 
1392     Level: intermediate
1393 
1394    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1395 
1396 .seealso: MatColoring, MatColoringCreate()
1397 E*/
1398 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1399 
1400 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1401 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1402 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1403 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1404 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1405 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1406 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1407 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1408 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1409 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1410 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1411 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1412 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1413 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1414 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1415 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1416 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring,ISColoring);
1417 PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") PETSC_STATIC_INLINE PetscErrorCode MatColoringTestValid(MatColoring matcoloring,ISColoring iscoloring) {return MatColoringTest(matcoloring,iscoloring);}
1418 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat,ISColoring);
1419 
1420 /*S
1421      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1422         and coloring
1423 
1424    Level: beginner
1425 
1426    Notes:
1427       This object is creating utilizing a coloring provided by the MatColoring object or DMCreateColoring()
1428 
1429 .seealso:  MatFDColoringCreate(), MatColoring, DMCreateColoring()
1430 S*/
1431 typedef struct _p_MatFDColoring* MatFDColoring;
1432 
1433 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1434 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1435 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1436 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1437 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1438 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1439 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1440 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1441 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1442 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1443 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1444 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1445 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat,MatFDColoring,const PetscScalar*);
1446 
1447 /*S
1448      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1449 
1450    Level: beginner
1451 
1452 .seealso:  MatTransposeColoringCreate()
1453 S*/
1454 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1455 
1456 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1457 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1458 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1459 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1460 
1461 /*
1462     These routines are for partitioning matrices: currently used only
1463   for adjacency matrix, MatCreateMPIAdj().
1464 */
1465 
1466 /*S
1467      MatPartitioning - Object for managing the partitioning of a matrix or graph
1468 
1469    Level: beginner
1470 
1471    Notes:
1472      There is also a PetscPartitioner object that provides the same functionality. It can utilize the MatPartitioning operations
1473      via PetscPartitionerSetType(p,PETSCPARTITIONERMATPARTITIONING)
1474 
1475    Developers Note:
1476      It is an extra maintainance and documentation cost to have two objects with the same functionality.
1477 
1478 .seealso:  MatPartitioningCreate(), MatPartitioningType, MatColoring, MatGetOrdering()
1479 S*/
1480 typedef struct _p_MatPartitioning* MatPartitioning;
1481 
1482 /*J
1483     MatPartitioningType - String with the name of a PETSc matrix partitioning
1484 
1485    Level: beginner
1486 dm
1487 .seealso: MatPartitioningCreate(), MatPartitioning
1488 J*/
1489 typedef const char* MatPartitioningType;
1490 #define MATPARTITIONINGCURRENT  "current"
1491 #define MATPARTITIONINGAVERAGE   "average"
1492 #define MATPARTITIONINGSQUARE   "square"
1493 #define MATPARTITIONINGPARMETIS "parmetis"
1494 #define MATPARTITIONINGCHACO    "chaco"
1495 #define MATPARTITIONINGPARTY    "party"
1496 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1497 #define MATPARTITIONINGHIERARCH  "hierarch"
1498 
1499 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1500 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1501 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1502 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1503 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1504 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1505 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning,PetscBool);
1506 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning,PetscBool*);
1507 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1508 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning,IS*);
1509 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning,IS);
1510 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning,IS*);
1511 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1512 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1513 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1514 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning,PetscObject,const char[]);
1515 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1516 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1517 
1518 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1519 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1520 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1521 
1522 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1523 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1524 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1525 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1526 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1527 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1528 
1529 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1530 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1531 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1532 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1533 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1534 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1535 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1536 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1537 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1538 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1539 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1540 
1541 #define MP_PARTY_OPT "opt"
1542 #define MP_PARTY_LIN "lin"
1543 #define MP_PARTY_SCA "sca"
1544 #define MP_PARTY_RAN "ran"
1545 #define MP_PARTY_GBF "gbf"
1546 #define MP_PARTY_GCF "gcf"
1547 #define MP_PARTY_BUB "bub"
1548 #define MP_PARTY_DEF "def"
1549 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1550 #define MP_PARTY_HELPFUL_SETS "hs"
1551 #define MP_PARTY_KERNIGHAN_LIN "kl"
1552 #define MP_PARTY_NONE "no"
1553 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1554 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1555 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1556 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1557 
1558 typedef enum { MP_PTSCOTCH_DEFAULT,MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1559 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1560 
1561 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1562 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1563 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1564 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1565 
1566 /*
1567  * hierarchical partitioning
1568  */
1569 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1570 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1571 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1572 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1573 
1574 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1575 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1576 
1577 /*
1578     If you add entries here you must also add them to include/petscmat.h
1579     and src/mat/f90-mod/petscmat.h
1580 */
1581 typedef enum { MATOP_SET_VALUES=0,
1582                MATOP_GET_ROW=1,
1583                MATOP_RESTORE_ROW=2,
1584                MATOP_MULT=3,
1585                MATOP_MULT_ADD=4,
1586                MATOP_MULT_TRANSPOSE=5,
1587                MATOP_MULT_TRANSPOSE_ADD=6,
1588                MATOP_SOLVE=7,
1589                MATOP_SOLVE_ADD=8,
1590                MATOP_SOLVE_TRANSPOSE=9,
1591                MATOP_SOLVE_TRANSPOSE_ADD=10,
1592                MATOP_LUFACTOR=11,
1593                MATOP_CHOLESKYFACTOR=12,
1594                MATOP_SOR=13,
1595                MATOP_TRANSPOSE=14,
1596                MATOP_GETINFO=15,
1597                MATOP_EQUAL=16,
1598                MATOP_GET_DIAGONAL=17,
1599                MATOP_DIAGONAL_SCALE=18,
1600                MATOP_NORM=19,
1601                MATOP_ASSEMBLY_BEGIN=20,
1602                MATOP_ASSEMBLY_END=21,
1603                MATOP_SET_OPTION=22,
1604                MATOP_ZERO_ENTRIES=23,
1605                MATOP_ZERO_ROWS=24,
1606                MATOP_LUFACTOR_SYMBOLIC=25,
1607                MATOP_LUFACTOR_NUMERIC=26,
1608                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1609                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1610                MATOP_SETUP_PREALLOCATION=29,
1611                MATOP_ILUFACTOR_SYMBOLIC=30,
1612                MATOP_ICCFACTOR_SYMBOLIC=31,
1613                MATOP_GET_DIAGONAL_BLOCK=32,
1614                MATOP_FREE_INTER_STRUCT=33,
1615                MATOP_DUPLICATE=34,
1616                MATOP_FORWARD_SOLVE=35,
1617                MATOP_BACKWARD_SOLVE=36,
1618                MATOP_ILUFACTOR=37,
1619                MATOP_ICCFACTOR=38,
1620                MATOP_AXPY=39,
1621                MATOP_CREATE_SUBMATRICES=40,
1622                MATOP_INCREASE_OVERLAP=41,
1623                MATOP_GET_VALUES=42,
1624                MATOP_COPY=43,
1625                MATOP_GET_ROW_MAX=44,
1626                MATOP_SCALE=45,
1627                MATOP_SHIFT=46,
1628                MATOP_DIAGONAL_SET=47,
1629                MATOP_ZERO_ROWS_COLUMNS=48,
1630                MATOP_SET_RANDOM=49,
1631                MATOP_GET_ROW_IJ=50,
1632                MATOP_RESTORE_ROW_IJ=51,
1633                MATOP_GET_COLUMN_IJ=52,
1634                MATOP_RESTORE_COLUMN_IJ=53,
1635                MATOP_FDCOLORING_CREATE=54,
1636                MATOP_COLORING_PATCH=55,
1637                MATOP_SET_UNFACTORED=56,
1638                MATOP_PERMUTE=57,
1639                MATOP_SET_VALUES_BLOCKED=58,
1640                MATOP_CREATE_SUBMATRIX=59,
1641                MATOP_DESTROY=60,
1642                MATOP_VIEW=61,
1643                MATOP_CONVERT_FROM=62,
1644                MATOP_MATMAT_MULT=63,
1645                MATOP_MATMAT_MULT_SYMBOLIC=64,
1646                MATOP_MATMAT_MULT_NUMERIC=65,
1647                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1648                MATOP_SET_VALUES_LOCAL=67,
1649                MATOP_ZERO_ROWS_LOCAL=68,
1650                MATOP_GET_ROW_MAX_ABS=69,
1651                MATOP_GET_ROW_MIN_ABS=70,
1652                MATOP_CONVERT=71,
1653                MATOP_SET_COLORING=72,
1654                /* MATOP_PLACEHOLDER_73=73, */
1655                MATOP_SET_VALUES_ADIFOR=74,
1656                MATOP_FD_COLORING_APPLY=75,
1657                MATOP_SET_FROM_OPTIONS=76,
1658                MATOP_MULT_CONSTRAINED=77,
1659                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1660                MATOP_FIND_ZERO_DIAGONALS=79,
1661                MATOP_MULT_MULTIPLE=80,
1662                MATOP_SOLVE_MULTIPLE=81,
1663                MATOP_GET_INERTIA=82,
1664                MATOP_LOAD=83,
1665                MATOP_IS_SYMMETRIC=84,
1666                MATOP_IS_HERMITIAN=85,
1667                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1668                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1669                MATOP_CREATE_VECS=88,
1670                MATOP_MAT_MULT=89,
1671                MATOP_MAT_MULT_SYMBOLIC=90,
1672                MATOP_MAT_MULT_NUMERIC=91,
1673                MATOP_PTAP=92,
1674                MATOP_PTAP_SYMBOLIC=93,
1675                MATOP_PTAP_NUMERIC=94,
1676                MATOP_MAT_TRANSPOSE_MULT=95,
1677                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1678                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1679                /* MATOP_PLACEHOLDER_98=98, */
1680                MATOP_PRODUCTSETFROMOPTIONS=99,
1681                MATOP_PRODUCTSYMBOLIC=100,
1682                MATOP_PRODUCTNUMERIC=101,
1683                MATOP_CONJUGATE=102,
1684                /* MATOP_PLACEHOLDER_103=103, */
1685                MATOP_SET_VALUES_ROW=104,
1686                MATOP_REAL_PART=105,
1687                MATOP_IMAGINARY_PART=106,
1688                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1689                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1690                MATOP_MAT_SOLVE=109,
1691                MATOP_MAT_SOLVE_TRANSPOSE=110,
1692                MATOP_GET_ROW_MIN=111,
1693                MATOP_GET_COLUMN_VECTOR=112,
1694                MATOP_MISSING_DIAGONAL=113,
1695                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1696                MATOP_CREATE=115,
1697                MATOP_GET_GHOSTS=116,
1698                MATOP_GET_LOCAL_SUB_MATRIX=117,
1699                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1700                MATOP_MULT_DIAGONAL_BLOCK=119,
1701                MATOP_HERMITIAN_TRANSPOSE=120,
1702                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1703                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1704                MATOP_GET_MULTI_PROC_BLOCK=123,
1705                MATOP_FIND_NONZERO_ROWS=124,
1706                MATOP_GET_COLUMN_NORMS=125,
1707                MATOP_INVERT_BLOCK_DIAGONAL=126,
1708                /* MATOP_PLACEHOLDER_127=127, */
1709                MATOP_CREATE_SUB_MATRICES_MPI=128,
1710                MATOP_SET_VALUES_BATCH=129,
1711                MATOP_TRANSPOSE_MAT_MULT=130,
1712                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1713                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1714                MATOP_TRANSPOSE_COLORING_CREAT=133,
1715                MATOP_TRANS_COLORING_APPLY_SPT=134,
1716                MATOP_TRANS_COLORING_APPLY_DEN=135,
1717                MATOP_RART=136,
1718                MATOP_RART_SYMBOLIC=137,
1719                MATOP_RART_NUMERIC=138,
1720                MATOP_SET_BLOCK_SIZES=139,
1721                MATOP_AYPX=140,
1722                MATOP_RESIDUAL=141,
1723                MATOP_FDCOLORING_SETUP=142,
1724                MATOP_MPICONCATENATESEQ=144,
1725                MATOP_DESTROYSUBMATRICES=145,
1726                MATOP_TRANSPOSE_SOLVE=146,
1727                MATOP_GET_VALUES_LOCAL=147
1728              } MatOperation;
1729 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat,MatOperation,void(*)(void));
1730 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat,MatOperation,void(**)(void));
1731 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool*);
1732 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat,PetscBool*);
1733 PETSC_DEPRECATED_FUNCTION("Use MatProductClear() (since version 3.14)") PETSC_STATIC_INLINE PetscErrorCode MatFreeIntermediateDataStructures(Mat A) {return MatProductClear(A);}
1734 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1735 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1736 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1737 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat,VecType);
1738 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1739 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1740 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1741 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat,MatProductType,PetscErrorCode (*)(Mat,Mat,Mat,void**),PetscErrorCode (*)(Mat,Mat,Mat,void*),PetscErrorCode (*)(void*),MatType,MatType);
1742 PETSC_EXTERN PetscErrorCode MatIsShell(Mat,PetscBool*);
1743 
1744 /*
1745    Codes for matrices stored on disk. By default they are
1746    stored in a universal format. By changing the format with
1747    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1748    be stored in a way natural for the matrix, for example dense matrices
1749    would be stored as dense. Matrices stored this way may only be
1750    read into matrices of the same type.
1751 */
1752 #define MATRIX_BINARY_FORMAT_DENSE -1
1753 
1754 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1755 
1756 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat,MatType);
1757 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1758 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat,PetscBool);
1759 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat,PetscBool);
1760 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1761 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1762 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1763 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1764 
1765 /*S
1766      MatNullSpace - Object that removes a null space from a vector, i.e.
1767          orthogonalizes the vector to a subspace
1768 
1769    Level: advanced
1770 
1771   Users manual sections:
1772 .   sec_singular
1773 
1774 .seealso:  MatNullSpaceCreate()
1775 S*/
1776 typedef struct _p_MatNullSpace* MatNullSpace;
1777 
1778 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1779 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1780 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1781 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1782 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1783 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1784 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1785 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1786 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1787 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1788 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1789 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1790 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1791 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1792 
1793 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1794 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1795 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1796 
1797 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1798 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1799 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1800 
1801 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat,MatType,Mat*);
1802 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat,MatType,Mat*);
1803 
1804 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") PETSC_STATIC_INLINE PetscErrorCode MatComputeExplicitOperator(Mat A,Mat* B) { return MatComputeOperator(A,NULL,B); }
1805 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") PETSC_STATIC_INLINE PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A,Mat* B) { return MatComputeOperatorTranspose(A,NULL,B); }
1806 
1807 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat,PetscInt,PetscInt,const PetscScalar[],const PetscScalar[],Mat*);
1808 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat,Mat*);
1809 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat,PetscInt*,PetscInt*,PetscScalar**);
1810 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1811 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat,PetscScalar**);
1812 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat,const PetscScalar**);
1813 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat,PetscInt*,PetscInt*,PetscScalar**);
1814 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1815 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat,PetscScalar**);
1816 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat,const PetscScalar**);
1817 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat,Mat);
1818 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat,PetscInt,PetscInt,const PetscScalar[]);
1819 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat,PetscInt,PetscInt,const PetscScalar[]);
1820 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat,PetscBool*);
1821 
1822 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1823 
1824 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1825 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1826 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1827 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1828 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1829 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1830 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1831 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1832 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1833 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1834 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1835 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1836 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1837 
1838 /*S
1839     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1840               Jacobian vector products
1841 
1842     Notes:
1843     MATMFFD is a specific MatType which uses the MatMFFD data structure
1844 
1845            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1846 
1847     Level: developer
1848 
1849 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1850 S*/
1851 typedef struct _p_MatMFFD* MatMFFD;
1852 
1853 /*J
1854     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1855 
1856    Level: beginner
1857 
1858 .seealso: MatMFFDSetType(), MatMFFDRegister()
1859 J*/
1860 typedef const char* MatMFFDType;
1861 #define MATMFFD_DS  "ds"
1862 #define MATMFFD_WP  "wp"
1863 
1864 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1865 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1866 
1867 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1868 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool);
1869 
1870 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1871 
1872 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1873 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1874 
1875 #ifdef PETSC_HAVE_H2OPUS
1876 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatH2OpusKernel)(PetscInt,PetscReal[],PetscReal[],void*);
1877 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscReal[],PetscBool,MatH2OpusKernel,void*,PetscReal,PetscInt,PetscInt,Mat*);
1878 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat,PetscInt,const PetscReal[],PetscBool,PetscReal,PetscInt,PetscInt,PetscInt,PetscReal,Mat*);
1879 PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat,Mat,PetscInt,PetscReal);
1880 PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
1881 PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat,PetscReal);
1882 PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat,PetscBool);
1883 PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat,PetscBool*);
1884 PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat,IS*);
1885 PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat,PetscBool,Vec,Vec*);
1886 #endif
1887 
1888 #ifdef PETSC_HAVE_HTOOL
1889 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatHtoolKernel)(PetscInt,PetscInt,PetscInt,const PetscInt*,const PetscInt*,PetscScalar*,void*);
1890 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscReal[],const PetscReal[],MatHtoolKernel,void*,Mat*);
1891 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat,MatHtoolKernel,void*);
1892 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat,IS*);
1893 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat,IS*);
1894 PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat,PetscBool);
1895 /*E
1896      MatHtoolCompressorType - Indicates the type of compressor used by a MATHTOOL
1897 
1898    Level: beginner
1899 
1900     Values:
1901 +   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA (default) - symmetric partial adaptive cross approximation
1902 .   MAT_HTOOL_COMPRESSOR_FULL_ACA - full adaptive cross approximation
1903 -   MAT_HTOOL_COMPRESSOR_SVD - singular value decomposition
1904 
1905 .seealso: MatCreateHtoolFromKernel(), MATHTOOL, MatHtoolClusteringType
1906 E*/
1907 typedef enum { MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA, MAT_HTOOL_COMPRESSOR_FULL_ACA, MAT_HTOOL_COMPRESSOR_SVD } MatHtoolCompressorType;
1908 /*E
1909      MatHtoolClusteringType - Indicates the type of clustering used by a MATHTOOL
1910 
1911    Level: beginner
1912 
1913     Values:
1914 +   MAT_HTOOL_CLUSTERING_PCA_REGULAR (default) - axis computed via principle component analysis, split uniformly
1915 .   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC - axis computed via principle component analysis, split barycentrically
1916 .   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR - axis along the largest extent of the bounding box, split uniformly
1917 -   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC - axis along the largest extent of the bounding box, split barycentrically
1918 
1919     Notes: higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
1920 
1921 .seealso: MatCreateHtoolFromKernel(), MATHTOOL, MatHtoolCompressorType
1922 E*/
1923 typedef enum { MAT_HTOOL_CLUSTERING_PCA_REGULAR, MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC, MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR, MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC } MatHtoolClusteringType;
1924 #endif
1925 
1926 /*
1927    PETSc interface to MUMPS
1928 */
1929 #ifdef PETSC_HAVE_MUMPS
1930 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1931 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1932 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1933 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1934 
1935 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1936 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1937 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1938 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1939 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat,Mat);
1940 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat,Mat);
1941 #endif
1942 
1943 /*
1944    PETSc interface to Mkl_Pardiso
1945 */
1946 #ifdef PETSC_HAVE_MKL_PARDISO
1947 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1948 #endif
1949 
1950 /*
1951    PETSc interface to Mkl_CPardiso
1952 */
1953 #ifdef PETSC_HAVE_MKL_CPARDISO
1954 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1955 #endif
1956 
1957 /*
1958    PETSc interface to SUPERLU
1959 */
1960 #ifdef PETSC_HAVE_SUPERLU
1961 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1962 #endif
1963 
1964 /*
1965    PETSc interface to SUPERLU_DIST
1966 */
1967 #ifdef PETSC_HAVE_SUPERLU_DIST
1968 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1969 #endif
1970 
1971 /*
1972    PETSc interface to STRUMPACK
1973 */
1974 #ifdef PETSC_HAVE_STRUMPACK
1975 /*E
1976     MatSTRUMPACKReordering - sparsity reducing ordering to be used in STRUMPACK
1977 
1978     Level: intermediate
1979 E*/
1980 typedef enum {MAT_STRUMPACK_NATURAL=0,
1981               MAT_STRUMPACK_METIS=1,
1982               MAT_STRUMPACK_PARMETIS=2,
1983               MAT_STRUMPACK_SCOTCH=3,
1984               MAT_STRUMPACK_PTSCOTCH=4,
1985               MAT_STRUMPACK_RCM=5} MatSTRUMPACKReordering;
1986 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat,MatSTRUMPACKReordering);
1987 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1988 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat,PetscReal);
1989 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat,PetscReal rtol) {return MatSTRUMPACKSetHSSRelTol(mat,rtol);}
1990 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat,PetscReal);
1991 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat,PetscInt);
1992 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat,PetscInt hssminsize) {return MatSTRUMPACKSetHSSMinSepSize(mat,hssminsize);}
1993 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat,PetscInt);
1994 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat,PetscInt);
1995 #endif
1996 
1997 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat,PetscBool);
1998 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat,PetscBool*);
1999 PETSC_DEPRECATED_FUNCTION("Use MatBindToCPU (since v3.13)") PETSC_STATIC_INLINE PetscErrorCode MatPinToCPU(Mat A,PetscBool flg) {return MatBindToCPU(A,flg);}
2000 
2001 typedef struct _n_SplitCSRMat *PetscSplitCSRDataStructure;
2002 PETSC_EXTERN PetscErrorCode MatCUSPARSEGetDeviceMatWrite(Mat,PetscSplitCSRDataStructure*);
2003 
2004 #ifdef PETSC_HAVE_KOKKOS_KERNELS
2005 PETSC_EXTERN PetscErrorCode MatKokkosGetDeviceMatWrite(Mat,PetscSplitCSRDataStructure*);
2006 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosSetDeviceMat(Mat,PetscSplitCSRDataStructure);
2007 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosGetDeviceMat(Mat,PetscSplitCSRDataStructure*);
2008 #endif
2009 
2010 #ifdef PETSC_HAVE_CUDA
2011 /*E
2012     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
2013     matrices.
2014 
2015     Not Collective
2016 
2017 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
2018 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
2019 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2020 
2021     Level: intermediate
2022 
2023    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
2024 
2025 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
2026 E*/
2027 
2028 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
2029 
2030 /* these will be strings associated with enumerated type defined above */
2031 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2032 
2033 /*E
2034     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
2035     matrices whose operation should use a particular storage format.
2036 
2037     Not Collective
2038 
2039 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
2040 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
2041 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
2042 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
2043 
2044     Level: intermediate
2045 
2046 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
2047 E*/
2048 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
2049 
2050 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
2051 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
2052 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
2053 typedef struct Mat_SeqAIJCUSPARSETriFactors* Mat_SeqAIJCUSPARSETriFactors_p;
2054 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat,PetscBool,const int**,const int**);
2055 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat,PetscBool,const int**,const int**);
2056 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat,const PetscScalar**);
2057 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat,const PetscScalar**);
2058 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat,PetscScalar**);
2059 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat,PetscScalar**);
2060 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat,PetscScalar**);
2061 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat,PetscScalar**);
2062 
2063 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
2064 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
2065 PETSC_EXTERN PetscErrorCode MatMPIDenseCUDASetPreallocation(Mat,PetscScalar[]);
2066 PETSC_EXTERN PetscErrorCode MatSeqDenseCUDASetPreallocation(Mat,PetscScalar[]);
2067 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat,PetscScalar**);
2068 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat,const PetscScalar**);
2069 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat,PetscScalar**);
2070 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat,PetscScalar**);
2071 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat,const PetscScalar**);
2072 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat,PetscScalar**);
2073 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat,const PetscScalar*);
2074 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat,const PetscScalar*);
2075 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2076 
2077 #endif
2078 
2079 #if defined(PETSC_HAVE_VIENNACL)
2080 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
2081 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
2082 #endif
2083 
2084 /*
2085    PETSc interface to FFTW
2086 */
2087 #if defined(PETSC_HAVE_FFTW)
2088 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
2089 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
2090 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
2091 #endif
2092 
2093 #if defined(PETSC_HAVE_SCALAPACK)
2094 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
2095 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat,PetscInt,PetscInt);
2096 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat,PetscInt*,PetscInt*);
2097 #endif
2098 
2099 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
2100 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
2101 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
2102 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
2103 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
2104 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
2105 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
2106 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
2107 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
2108 
2109 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
2110 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
2111 
2112 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
2113 
2114 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
2115 
2116 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
2117 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
2118 
2119 #endif
2120