xref: /petsc/include/petscmat.h (revision 6a5217c03994f2d95bb2e6dbd8bed42381aeb015)
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)") 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)") 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)") 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: 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, MatProductSetAlgorithm(), MatProductType
196 J*/
197 typedef const char* MatProductAlgorithm;
198 #define MATPRODUCTALGORITHMDEFAULT "default"
199 #define MATPRODUCTALGORITHMSORTED "sorted"
200 #define MATPRODUCTALGORITHMSCALABLE "scalable"
201 #define MATPRODUCTALGORITHMSCALABLEFAST "scalable_fast"
202 #define MATPRODUCTALGORITHMHEAP "heap"
203 #define MATPRODUCTALGORITHMBHEAP "btheap"
204 #define MATPRODUCTALGORITHMLLCONDENSED "llcondensed"
205 #define MATPRODUCTALGORITHMROWMERGE "rowmerge"
206 #define MATPRODUCTALGORITHMOUTERPRODUCT "outerproduct"
207 #define MATPRODUCTALGORITHMATB "at*b"
208 #define MATPRODUCTALGORITHMRAP "rap"
209 #define MATPRODUCTALGORITHMNONSCALABLE "nonscalable"
210 #define MATPRODUCTALGORITHMSEQMPI "seqmpi"
211 #define MATPRODUCTALGORITHMBACKEND "backend"
212 #define MATPRODUCTALGORITHMOVERLAPPING "overlapping"
213 #define MATPRODUCTALGORITHMMERGED "merged"
214 #define MATPRODUCTALGORITHMALLATONCE "allatonce"
215 #define MATPRODUCTALGORITHMALLATONCEMERGED "allatonce_merged"
216 #define MATPRODUCTALGORITHMALLGATHERV "allgatherv"
217 #define MATPRODUCTALGORITHMCYCLIC "cyclic"
218 #if defined(PETSC_HAVE_HYPRE)
219 #define MATPRODUCTALGORITHMHYPRE "hypre"
220 #endif
221 
222 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat,Mat,Mat,Mat*);
223 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat,Mat,Mat,Mat);
224 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat,MatProductType);
225 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat,MatProductAlgorithm);
226 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat,PetscReal);
227 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
228 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
229 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
230 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat,Mat,Mat,Mat);
231 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
232 PETSC_EXTERN PetscErrorCode MatProductView(Mat,PetscViewer);
233 PETSC_EXTERN PetscErrorCode MatProductGetType(Mat,MatProductType*);
234 PETSC_EXTERN PetscErrorCode MatProductGetMats(Mat,Mat*,Mat*,Mat*);
235 
236 /* Logging support */
237 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
238 PETSC_EXTERN PetscClassId MAT_CLASSID;
239 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
240 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
241 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
242 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
243 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
244 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
245 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
246 
247 /*E
248     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
249      are to be reused to store the new matrix values.
250 
251 $  MAT_INITIAL_MATRIX - create a new matrix
252 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
253 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
254 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
255 
256     Level: beginner
257 
258    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
259 
260 .seealso: MatCreateSubMatrices(), MatCreateSubMatrix(), MatDestroyMatrices(), MatConvert()
261 E*/
262 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
263 
264 /*E
265     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
266      include the matrix values. Currently it is only used by MatGetSeqNonzeroStructure().
267 
268     Level: beginner
269 
270 .seealso: MatGetSeqNonzeroStructure()
271 E*/
272 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatCreateSubMatrixOption;
273 
274 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
275 
276 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
277 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
278 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
279 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat,VecType*);
280 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat,VecType);
281 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
282 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat,PetscObject,const char[]);
283 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
284 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[],const char[],const char[]);
285 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
286 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
287 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
288 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
289 
290 PETSC_EXTERN PetscFunctionList MatList;
291 PETSC_EXTERN PetscFunctionList MatColoringList;
292 PETSC_EXTERN PetscFunctionList MatPartitioningList;
293 
294 /*E
295     MatStructure - Indicates if two matrices have the same nonzero structure
296 
297     Level: beginner
298 
299 $  SAME_NONZERO_PATTERN  - the two matrices have identical nonzero patterns
300 $  DIFFERENT_NONZERO_PATTERN - the two matrices may have different nonzero patterns
301 $  SUBSET_NONZERO_PATTERN - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
302 $  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
303 
304    Developer Notes:
305      Any additions/changes here MUST also be made in src/mat/f90-mod/petscmat.h
306 
307 .seealso: MatCopy(), MatAXPY(), MatAYPX()
308 E*/
309 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN,UNKNOWN_NONZERO_PATTERN} MatStructure;
310 PETSC_EXTERN const char *const MatStructures[];
311 
312 #if defined PETSC_HAVE_MKL_SPARSE
313 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
314 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
315 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
316 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
317 #endif
318 
319 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
320 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
321 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat,PetscInt,const PetscInt[]);
322 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
323 
324 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
325 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
326 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
327 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
328 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
329 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
330 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
331 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm,Mat,Mat,const PetscInt[],Mat*);
332 
333 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
334 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
335 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
336 
337 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat,PetscCount,const PetscInt[],const PetscInt[]);
338 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat,PetscCount,PetscInt[],PetscInt[]);
339 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat,const PetscScalar[],InsertMode);
340 
341 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
342 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
343 
344 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
345 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
346 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
347 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
348 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
349 
350 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
351 PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm,PetscInt,PetscInt,Mat*);
352 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
353 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
354 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
355 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
356 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
357 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
358 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
359 
360 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
361 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
362 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
363 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
364 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
365 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
366 typedef enum {MAT_COMPOSITE_MERGE_RIGHT,MAT_COMPOSITE_MERGE_LEFT} MatCompositeMergeType;
367 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat,MatCompositeMergeType);
368 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
369 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
370 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
371 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat,MatCompositeType*);
372 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat,MatStructure);
373 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat,MatStructure*);
374 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat,PetscInt*);
375 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat,PetscInt,Mat*);
376 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat,const PetscScalar*);
377 
378 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
379 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
380 
381 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
382 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
383 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
384 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat,Mat*);
385 PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat,Mat*);
386 PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat,Mat*);
387 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
388 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
389 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
390 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar,Mat*);
391 
392 #if defined(PETSC_HAVE_HYPRE)
393 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
394 #endif
395 
396 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
397 
398 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
399 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
400 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
401 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
402 
403 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
404 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
405 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
406 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
407 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
408 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
409 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat,PetscInt,const PetscInt*,PetscScalar*);
410 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat,Mat);
411 
412 /* ------------------------------------------------------------*/
413 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
414 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
415 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
416 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
417 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
418 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
419 
420 /*S
421      MatStencil - Data structure (C struct) for storing information about a single row or
422         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
423 
424    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).
425    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.
426 
427    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
428 
429    Fortran usage is different, see MatSetValuesStencil() for details.
430 
431    Level: beginner
432 
433 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
434 S*/
435 typedef struct {
436   PetscInt k,j,i,c;
437 } MatStencil;
438 
439 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
440 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
441 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
442 
443 /*E
444     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
445      to continue to add or insert values to it
446 
447     Level: beginner
448 
449 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
450 E*/
451 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
452 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
453 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
454 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
455 
456 /*E
457     MatOption - Options that may be set for a matrix and its behavior or storage
458 
459     Level: beginner
460 
461    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
462    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
463 
464    Developer Notes:
465     Entries that are negative need not be called collectively by all processes.
466 
467 .seealso: MatSetOption()
468 E*/
469 typedef enum {MAT_OPTION_MIN = -3,
470               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
471               MAT_ROW_ORIENTED = -1,
472               MAT_SYMMETRIC = 1,
473               MAT_STRUCTURALLY_SYMMETRIC = 2,
474               MAT_FORCE_DIAGONAL_ENTRIES = 3,
475               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
476               MAT_USE_HASH_TABLE = 5,
477               MAT_KEEP_NONZERO_PATTERN = 6,
478               MAT_IGNORE_ZERO_ENTRIES = 7,
479               MAT_USE_INODES = 8,
480               MAT_HERMITIAN = 9,
481               MAT_SYMMETRY_ETERNAL = 10,
482               MAT_NEW_NONZERO_LOCATION_ERR = 11,
483               MAT_IGNORE_LOWER_TRIANGULAR = 12,
484               MAT_ERROR_LOWER_TRIANGULAR = 13,
485               MAT_GETROW_UPPERTRIANGULAR = 14,
486               MAT_SPD = 15,
487               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
488               MAT_NO_OFF_PROC_ENTRIES = 17,
489               MAT_NEW_NONZERO_LOCATIONS = 18,
490               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
491               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
492               MAT_SUBMAT_SINGLEIS = 21,
493               MAT_STRUCTURE_ONLY = 22,
494               MAT_SORTED_FULL = 23,
495               MAT_FORM_EXPLICIT_TRANSPOSE = 24,
496               MAT_OPTION_MAX = 25} MatOption;
497 
498 PETSC_EXTERN const char *const *MatOptions;
499 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
500 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
501 PETSC_EXTERN PetscErrorCode MatPropagateSymmetryOptions(Mat,Mat);
502 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
503 
504 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
505 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
506 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
507 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
508 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
509 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
510 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
511 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArrayRead(Mat,const PetscScalar *[]);
512 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArrayWrite(Mat,PetscScalar *[]);
513 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
514 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArrayRead(Mat,const PetscScalar *[]);
515 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArrayWrite(Mat,PetscScalar *[]);
516 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
517 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
518 PETSC_EXTERN PetscErrorCode MatSeqAIJSetType(Mat,MatType);
519 PETSC_EXTERN PetscErrorCode MatSeqAIJKron(Mat,Mat,MatReuse,Mat*);
520 PETSC_EXTERN PetscErrorCode MatSeqAIJRegister(const char[],PetscErrorCode (*)(Mat,MatType,MatReuse,Mat *));
521 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
522 PETSC_EXTERN PetscErrorCode MatSeqBAIJGetArray(Mat,PetscScalar *[]);
523 PETSC_EXTERN PetscErrorCode MatSeqBAIJRestoreArray(Mat,PetscScalar *[]);
524 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
525 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
526 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
527 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
528 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
529 PETSC_EXTERN PetscErrorCode MatDenseReplaceArray(Mat,const PetscScalar[]);
530 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
531 PETSC_EXTERN PetscErrorCode MatDenseGetArrayRead(Mat,const PetscScalar *[]);
532 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayRead(Mat,const PetscScalar *[]);
533 PETSC_EXTERN PetscErrorCode MatDenseGetArrayWrite(Mat,PetscScalar *[]);
534 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayWrite(Mat,PetscScalar *[]);
535 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
536 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
537 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
538 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
539 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
540 PETSC_EXTERN PetscErrorCode MatSetVariableBlockSizes(Mat,PetscInt,PetscInt*);
541 PETSC_EXTERN PetscErrorCode MatGetVariableBlockSizes(Mat,PetscInt*,const PetscInt**);
542 
543 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat,PetscInt,PetscScalar*[]);
544 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat,PetscScalar*[]);
545 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat,PetscInt,Vec*);
546 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat,PetscInt,Vec*);
547 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat,PetscInt,Vec*);
548 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat,PetscInt,Vec*);
549 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat,PetscInt,Vec*);
550 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat,PetscInt,Vec*);
551 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat,PetscInt,PetscInt,Mat*);
552 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat,Mat*);
553 
554 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
555 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
556 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
557 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
558 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
559 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
560 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
561 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
562 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
563 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
564 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
565 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat,Mat,Mat);
566 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
567 
568 /*E
569     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
570   its numerical values copied over or just its nonzero structure.
571 
572     Level: beginner
573 
574    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
575 
576 $   MAT_DO_NOT_COPY_VALUES    - Create a matrix using the same nonzero pattern as the original matrix,
577 $                               with zeros for the numerical values.
578 $   MAT_COPY_VALUES           - Create a matrix with the same nonzero pattern as the original matrix
579 $                               and with the same numerical values.
580 $   MAT_SHARE_NONZERO_PATTERN - Create a matrix that shares the nonzero structure with the previous matrix
581 $                               and does not copy it, using zeros for the numerical values. The parent and
582 $                               child matrices will share their index (i and j) arrays, and you cannot
583 $                               insert new nonzero entries into either matrix.
584 
585 Notes:
586     Many matrix types (including SeqAIJ) do not support the MAT_SHARE_NONZERO_PATTERN optimization; in
587 this case the behavior is as if MAT_DO_NOT_COPY_VALUES has been specified.
588 
589 .seealso: MatDuplicate()
590 E*/
591 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
592 
593 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
594 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
595 
596 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
597 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
598 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
599 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
600 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
601 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
602 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
603 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
604 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
605 
606 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
607 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
608 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
609 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
610 
611 /*S
612      MatInfo - Context of matrix information, used with MatGetInfo()
613 
614    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
615 
616    Level: intermediate
617 
618 .seealso:  MatGetInfo(), MatInfoType
619 S*/
620 typedef struct {
621   PetscLogDouble block_size;                         /* block size */
622   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
623   PetscLogDouble memory;                             /* memory allocated */
624   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
625   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
626   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
627   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
628 } MatInfo;
629 
630 /*E
631     MatInfoType - Indicates if you want information about the local part of the matrix,
632      the entire parallel matrix or the maximum over all the local parts.
633 
634     Level: beginner
635 
636    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
637 
638 .seealso: MatGetInfo(), MatInfo
639 E*/
640 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
641 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
642 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
643 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
644 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
645 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
646 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
647 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
648 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
649 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
650 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
651 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
652 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
653 
654 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
655 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
656 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
657 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
658 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
659 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
660 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
661 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
662 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
663 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
664 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
665 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
666 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat,PetscInt,PetscBool*);
667 
668 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
669 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
670 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat,PetscScalar*);
671 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat,PetscReal*);
672 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat,PetscReal*);
673 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat,PetscScalar*);
674 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat,PetscReal*);
675 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat,PetscReal*);
676 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat,PetscInt,PetscReal*);
677 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
678 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
679 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
680 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
681 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
682 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
683 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
684 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
685 
686 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
687 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
688 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
689 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
690 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
691 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
692 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
693 
694 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
695 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatrices() (since version 3.8)") 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);}
696 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
697 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatricesMPI() (since version 3.8)") 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);}
698 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
699 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
700 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
701 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatrix() (since version 3.8)") static inline PetscErrorCode MatGetSubMatrix(Mat mat,IS isrow,IS iscol,MatReuse cll,Mat *newmat) {return MatCreateSubMatrix(mat,isrow,iscol,cll,newmat);}
702 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
703 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
704 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
705 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
706 
707 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
708 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
709 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
710 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
711 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
712 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat,MatReuse,IS*,Mat*);
713 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
714 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
715 
716 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
717 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
718 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
719 
720 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
721 
722 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
723 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
724 
725 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
726 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
727 
728 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
729 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
730 
731 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
732 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
733 
734 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
735 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
736 
737 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
738 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
739 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
740 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat,PetscLayout,PetscLayout);
741 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
742 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
743 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
744 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
745 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
746 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
747 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
748 
749 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
750 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
751 
752 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
753 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
754 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
755 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat,Mat,Mat*);
756 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat,Mat,Mat,Mat*);
757 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat,Mat,Mat*);
758 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
759 PETSC_DEPRECATED_FUNCTION("Use MatCreateVecs() (since version 3.6)") static inline PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
760 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
761 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
762 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
763 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
764 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
765 
766 /*MC
767    MatSetValue - Set a single entry into a matrix.
768 
769    Not collective
770 
771    Synopsis:
772      #include <petscmat.h>
773      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
774 
775    Input Parameters:
776 +  m - the matrix
777 .  row - the row location of the entry
778 .  col - the column location of the entry
779 .  value - the value to insert
780 -  mode - either INSERT_VALUES or ADD_VALUES
781 
782    Notes:
783    For efficiency one should use MatSetValues() and set several values simultaneously.
784 
785    Level: beginner
786 
787 .seealso: MatGetValue(), MatSetValues(), MatSetValueLocal(), MatSetValuesLocal()
788 M*/
789 static inline PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
790 
791 /*@C
792    MatGetValue - Gets a single value from a matrix
793 
794    Not Collective; can only return a value owned by the given process
795 
796    Input Parameters:
797 +  mat - the matrix
798 .  row - the row location of the entry
799 -  col - the column location of the entry
800 
801    Output Parameter:
802 .  va - the value
803 
804    Notes:
805    For efficiency one should use MatGetValues() and get several values simultaneously.
806 
807    See notes for MatGetValues().
808 
809    Level: advanced
810 
811 .seealso: MatSetValue(), MatGetValueLocal(), MatGetValues()
812 @*/
813 static inline PetscErrorCode MatGetValue(Mat mat,PetscInt row,PetscInt col,PetscScalar *va) {return MatGetValues(mat,1,&row,1,&col,va);}
814 
815 /*MC
816    MatSetValueLocal - Inserts or adds a single value into a matrix,
817    using a local numbering of the nodes.
818 
819    Not Collective
820 
821    Input Parameters:
822 +  m - the matrix
823 .  row - the row location of the entry
824 .  col - the column location of the entry
825 .  value - the value to insert
826 -  mode - either INSERT_VALUES or ADD_VALUES
827 
828    Notes:
829    For efficiency one should use MatSetValuesLocal() and set several values simultaneously.
830 
831    See notes for MatSetValuesLocal() for additional information on when and how this function can be used.
832 
833    Level: intermediate
834 
835 .seealso: MatSetValue(), MatSetValuesLocal()
836 M*/
837 static inline PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
838 
839 /*MC
840    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
841        row in a matrix providing the data that one can use to correctly preallocate the matrix.
842 
843    Synopsis:
844    #include <petscmat.h>
845    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
846 
847    Collective
848 
849    Input Parameters:
850 +  comm - the communicator that will share the eventually allocated matrix
851 .  nrows - the number of LOCAL rows in the matrix
852 -  ncols - the number of LOCAL columns in the matrix
853 
854    Output Parameters:
855 +  dnz - the array that will be passed to the matrix preallocation routines
856 -  onz - the other array passed to the matrix preallocation routines
857 
858    Level: intermediate
859 
860    Notes:
861     See Users-Manual: ch_performance for more details.
862 
863    Do not malloc or free dnz and onz, that is handled internally by these routines
864 
865    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
866 
867 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
868           MatPreallocateSymmetricSetLocalBlock()
869 M*/
870 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; do {                             \
871   PetscInt __nrows = (nrows),__ncols = (ncols),__rstart,__start,__end = 0;                     \
872   PetscCall(PetscCalloc2(__nrows,&(dnz),__nrows,&(onz)));                                        \
873   PetscCallMPI(MPI_Scan(&__ncols,&__end,1,MPIU_INT,MPI_SUM,comm));                                \
874   __start = __end - __ncols; (void)__start;                                                    \
875   PetscCallMPI(MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm));                             \
876   __rstart -= __nrows
877 
878 /*MC
879    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
880        inserted using a local number of the rows and columns
881 
882    Synopsis:
883    #include <petscmat.h>
884    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
885 
886    Not Collective
887 
888    Input Parameters:
889 +  map - the row mapping from local numbering to global numbering
890 .  nrows - the number of rows indicated
891 .  rows - the indices of the rows
892 .  cmap - the column mapping from local to global numbering
893 .  ncols - the number of columns in the matrix
894 .  cols - the columns indicated
895 .  dnz - the array that will be passed to the matrix preallocation routines
896 -  onz - the other array passed to the matrix preallocation routines
897 
898    Level: intermediate
899 
900    Notes:
901     See Users-Manual: ch_performance for more details.
902 
903    Do not malloc or free dnz and onz, that is handled internally by these routines
904 
905 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
906           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
907 M*/
908 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz)                        \
909   PetscMacroReturnStandard(                                                                    \
910     PetscCall(ISLocalToGlobalMappingApply(rmap,nrows,rows,rows));                                \
911     PetscCall(ISLocalToGlobalMappingApply(cmap,ncols,cols,cols));                                \
912     for (PetscInt __l=0;__l<nrows;__l++) PetscCall(MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz)); \
913   )
914 
915 /*MC
916    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
917        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
918 
919    Synopsis:
920    #include <petscmat.h>
921    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
922 
923    Not Collective
924 
925    Input Parameters:
926 +  map - the row mapping from local numbering to global numbering
927 .  nrows - the number of rows indicated
928 .  rows - the indices of the rows (these values are mapped to the global values)
929 .  cmap - the column mapping from local to global numbering
930 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
931 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
932 .  dnz - the array that will be passed to the matrix preallocation routines
933 -  onz - the other array passed to the matrix preallocation routines
934 
935    Level: intermediate
936 
937    Notes:
938     See Users-Manual: ch_performance for more details.
939 
940    Do not malloc or free dnz and onz, that is handled internally by these routines
941 
942 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
943           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
944 M*/
945 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz)              \
946   PetscMacroReturnStandard(                                                                    \
947     PetscCall(ISLocalToGlobalMappingApply(rmap,nrows,rows,rows));                                \
948     PetscCall(ISLocalToGlobalMappingApply(cmap,ncols,cols,cols));                                \
949     PetscCall(PetscSortRemoveDupsInt(&ncols,cols));                                              \
950     for (PetscInt __l=0;__l<nrows;__l++) PetscCall(MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz)); \
951   )
952 
953 /*MC
954    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
955        inserted using a local number of the rows and columns
956 
957    Synopsis:
958    #include <petscmat.h>
959    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
960 
961    Not Collective
962 
963    Input Parameters:
964 +  map - the row mapping from local numbering to global numbering
965 .  nrows - the number of rows indicated
966 .  rows - the indices of the rows
967 .  cmap - the column mapping from local to global numbering
968 .  ncols - the number of columns in the matrix
969 .  cols - the columns indicated
970 .  dnz - the array that will be passed to the matrix preallocation routines
971 -  onz - the other array passed to the matrix preallocation routines
972 
973    Level: intermediate
974 
975    Notes:
976     See Users-Manual: ch_performance for more details.
977 
978    Do not malloc or free dnz and onz, that is handled internally by these routines
979 
980 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
981           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
982 M*/
983 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz)                   \
984   PetscMacroReturnStandard(                                                                    \
985     PetscCall(ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows));                           \
986     PetscCall(ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols));                           \
987     for (PetscInt __l=0;__l<nrows;__l++) PetscCall(MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz)); \
988   )
989 
990 /*MC
991    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
992        inserted using a local number of the rows and columns
993 
994    Synopsis:
995    #include <petscmat.h>
996    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
997 
998    Not Collective
999 
1000    Input Parameters:
1001 +  map - the mapping between local numbering and global numbering
1002 .  nrows - the number of rows indicated
1003 .  rows - the indices of the rows
1004 .  ncols - the number of columns in the matrix
1005 .  cols - the columns indicated
1006 .  dnz - the array that will be passed to the matrix preallocation routines
1007 -  onz - the other array passed to the matrix preallocation routines
1008 
1009    Level: intermediate
1010 
1011    Notes:
1012     See Users-Manual: ch_performance for more details.
1013 
1014    Do not malloc or free dnz and onz that is handled internally by these routines
1015 
1016 .seealso: MatPreallocateFinalize(), MatPreallocateSet()
1017           MatPreallocateInitialize(),  MatPreallocateSetLocal()
1018 M*/
1019 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz)                \
1020   PetscMacroReturnStandard(                                                                    \
1021     PetscCall(ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows));                            \
1022     PetscCall(ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols));                            \
1023     for (PetscInt __l=0;__l<nrows;__l++) PetscCall(MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz)); \
1024   )
1025 
1026 /*MC
1027    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1028        inserted using a local number of the rows and columns
1029 
1030    Synopsis:
1031    #include <petscmat.h>
1032    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1033 
1034    Not Collective
1035 
1036    Input Parameters:
1037 +  row - the row
1038 .  ncols - the number of columns in the matrix
1039 -  cols - the columns indicated
1040 
1041    Output Parameters:
1042 +  dnz - the array that will be passed to the matrix preallocation routines
1043 -  onz - the other array passed to the matrix preallocation routines
1044 
1045    Level: intermediate
1046 
1047    Notes:
1048     See Users-Manual: ch_performance for more details.
1049 
1050    Do not malloc or free dnz and onz that is handled internally by these routines
1051 
1052    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
1053 
1054 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
1055           MatPreallocateInitialize(), MatPreallocateSetLocal()
1056 M*/
1057 #define MatPreallocateSet(row,nc,cols,dnz,onz) PetscMacroReturnStandard(                       \
1058     PetscCheck(row >= __rstart,PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Trying to set preallocation for row %" PetscInt_FMT " less than first local row %" PetscInt_FMT,row,__rstart); \
1059     PetscCheck(row < __rstart+__nrows,PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Trying to set preallocation for row %" PetscInt_FMT " greater than last local row %" PetscInt_FMT,row,__rstart+__nrows-1); \
1060     for (PetscInt __i = 0; __i < nc; ++__i) {                                                  \
1061       if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++;                \
1062       else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;                           \
1063     }                                                                                          \
1064   )
1065 
1066 /*MC
1067    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1068        inserted using a local number of the rows and columns
1069 
1070    Synopsis:
1071    #include <petscmat.h>
1072    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1073 
1074    Not Collective
1075 
1076    Input Parameters:
1077 +  nrows - the number of rows indicated
1078 .  rows - the indices of the rows
1079 .  ncols - the number of columns in the matrix
1080 .  cols - the columns indicated
1081 .  dnz - the array that will be passed to the matrix preallocation routines
1082 -  onz - the other array passed to the matrix preallocation routines
1083 
1084    Level: intermediate
1085 
1086    Notes:
1087     See Users-Manual: ch_performance for more details.
1088 
1089    Do not malloc or free dnz and onz that is handled internally by these routines
1090 
1091    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
1092 
1093 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
1094           MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
1095 M*/
1096 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz)                                   \
1097   PetscMacroReturnStandard(                                                                    \
1098     for (PetscInt __i=0; __i<nc; __i++) {                                                      \
1099       if (cols[__i] >= __end) onz[row - __rstart]++;                                           \
1100       else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;       \
1101     }                                                                                          \
1102   )
1103 
1104 /*MC
1105    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1106 
1107    Synopsis:
1108    #include <petscmat.h>
1109    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1110 
1111    Not Collective
1112 
1113    Input Parameters:
1114 +  A - matrix
1115 .  row - row where values exist (must be local to this process)
1116 .  ncols - number of columns
1117 .  cols - columns with nonzeros
1118 .  dnz - the array that will be passed to the matrix preallocation routines
1119 -  onz - the other array passed to the matrix preallocation routines
1120 
1121    Level: intermediate
1122 
1123    Notes:
1124     See Users-Manual: ch_performance for more details.
1125 
1126    Do not malloc or free dnz and onz that is handled internally by these routines
1127 
1128    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
1129 
1130 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1131           MatPreallocateSymmetricSetLocalBlock()
1132 M*/
1133 #define MatPreallocateLocation(A,row,ncols,cols,dnz,onz) PetscMacroReturnStandard(      \
1134     if (A) PetscCall(MatSetValues(A,1,&row,ncols,cols,NULL,INSERT_VALUES));               \
1135     else   PetscCall(MatPreallocateSet(row,ncols,cols,dnz,onz));                          \
1136   )
1137 
1138 /*MC
1139    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
1140        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1141 
1142    Synopsis:
1143    #include <petscmat.h>
1144    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
1145 
1146    Collective
1147 
1148    Input Parameters:
1149 +  dnz - the array that was be passed to the matrix preallocation routines
1150 -  onz - the other array passed to the matrix preallocation routines
1151 
1152    Level: intermediate
1153 
1154    Notes:
1155     See Users-Manual: ch_performance for more details.
1156 
1157    Do not malloc or free dnz and onz that is handled internally by these routines
1158 
1159    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
1160 
1161 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1162           MatPreallocateSymmetricSetLocalBlock()
1163 M*/
1164 #define MatPreallocateFinalize(dnz,onz) PetscFree2(dnz,onz);} while (0)
1165 
1166 /* Routines unique to particular data structures */
1167 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
1168 
1169 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
1170 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1171 
1172 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1173 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1174 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1175 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1176 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1177 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
1178 
1179 #define MAT_SKIP_ALLOCATION -4
1180 
1181 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1182 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1183 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1184 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat,PetscInt);
1185 
1186 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1187 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1188 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1189 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1190 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1191 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1192 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1193 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1194 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat,Mat*);
1195 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1196 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1197 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1198 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1199 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1200 
1201 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat,PetscInt*);
1202 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat,PetscInt);
1203 PETSC_DEPRECATED_FUNCTION("Use MatDenseSetLDA() (since version 3.14)") static inline PetscErrorCode MatSeqDenseSetLDA(Mat A,PetscInt lda) {return MatDenseSetLDA(A,lda);}
1204 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1205 
1206 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1207 
1208 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1209 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1210 
1211 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1212 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1213 /*
1214   These routines are not usually accessed directly, rather solving is
1215   done through the KSP and PC interfaces.
1216 */
1217 
1218 /*J
1219     MatOrderingType - String with the name of a PETSc matrix ordering
1220 
1221    Level: beginner
1222 
1223    Notes:
1224       If MATORDERINGEXTERNAL is used then PETSc does not compute an ordering and utilizes one built into the factorization package
1225 
1226 .seealso: MatGetOrdering()
1227 J*/
1228 typedef const char* MatOrderingType;
1229 #define MATORDERINGNATURAL        "natural"
1230 #define MATORDERINGND             "nd"
1231 #define MATORDERING1WD            "1wd"
1232 #define MATORDERINGRCM            "rcm"
1233 #define MATORDERINGQMD            "qmd"
1234 #define MATORDERINGROWLENGTH      "rowlength"
1235 #define MATORDERINGWBM            "wbm"
1236 #define MATORDERINGSPECTRAL       "spectral"
1237 #define MATORDERINGAMD            "amd"            /* only works if UMFPACK is installed with PETSc */
1238 #define MATORDERINGMETISND        "metisnd"        /* only works if METIS is installed with PETSc */
1239 #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 */
1240 #define MATORDERINGEXTERNAL       "external"       /* uses an ordering type internal to the factorization package */
1241 
1242 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1243 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1244 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1245 PETSC_EXTERN PetscFunctionList MatOrderingList;
1246 
1247 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1248 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1249 
1250 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat,MatFactorType,MatOrderingType*);
1251 
1252 /*S
1253     MatFactorShiftType - Numeric Shift for factorizations
1254 
1255    Level: beginner
1256 
1257 .seealso: MatGetFactor()
1258 S*/
1259 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1260 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1261 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1262 
1263 /*S
1264     MatFactorError - indicates what type of error was generated in a matrix factorization
1265 
1266     Level: beginner
1267 
1268     Developer Notes:
1269     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1270 
1271 .seealso: MatGetFactor()
1272 S*/
1273 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1274 
1275 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1276 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1277 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1278 
1279 /*S
1280    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1281 
1282    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1283 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1284 
1285    Notes:
1286     These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1287 
1288       You can use MatFactorInfoInitialize() to set default values.
1289 
1290    Level: developer
1291 
1292 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1293           MatFactorInfoInitialize()
1294 
1295 S*/
1296 typedef struct {
1297   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1298   PetscReal     usedt;
1299   PetscReal     dt;             /* drop tolerance */
1300   PetscReal     dtcol;          /* tolerance for pivoting */
1301   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1302   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1303   PetscReal     levels;         /* ICC/ILU(levels) */
1304   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1305                                    factorization may be faster if do not pivot */
1306   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1307   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1308   PetscReal     shiftamount;     /* how large the shift is */
1309 } MatFactorInfo;
1310 
1311 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1312 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1313 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1314 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1315 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1316 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1317 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1318 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1319 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1320 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1321 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1322 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat,IS,const MatFactorInfo*);
1323 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1324 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat,Mat,const MatFactorInfo*);
1325 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1326 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1327 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1328 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1329 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1330 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1331 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1332 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1333 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1334 
1335 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1336 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1337 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1338 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1339 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1340 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1341 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1342 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1343 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1344 
1345 /*E
1346     MatSORType - What type of (S)SOR to perform
1347 
1348     Level: beginner
1349 
1350    May be bitwise ORd together
1351 
1352    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1353 
1354    MatSORType may be bitwise ORd together, so do not change the numbers
1355 
1356 .seealso: MatSOR()
1357 E*/
1358 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1359               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1360               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1361               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1362 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1363 
1364 /*
1365     These routines are for efficiently computing Jacobians via finite differences.
1366 */
1367 
1368 /*S
1369      MatColoring - Object for managing the coloring of matrices.
1370 
1371    Level: beginner
1372 
1373     Notes:
1374        Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the MatColoring object or from the mesh from which the
1375        matrix comes from via DMCreateColoring(). In general using the mesh produces a more optimal coloring (fewer colors).
1376 
1377        Once a coloring is available MatFDColoringCreate() creates an object that can be used to efficiently compute Jacobians using that coloring. This
1378        same object can also be used to efficiently convert data created by Automatic Differentation tools to PETSc sparse matrices.
1379 
1380 .seealso:  MatFDColoringCreate(), MatColoringWeightType, ISColoring, MatFDColoring, DMCreateColoring(), MatColoringCreate(), MatOrdering, MatPartitioning, MatColoringType
1381 S*/
1382 typedef struct _p_MatColoring* MatColoring;
1383 
1384 /*J
1385     MatColoringType - String with the name of a PETSc matrix coloring
1386 
1387    Level: beginner
1388 
1389 .seealso: MatColoringSetType(), MatColoring
1390 J*/
1391 typedef const  char*           MatColoringType;
1392 #define MATCOLORINGJP      "jp"
1393 #define MATCOLORINGPOWER   "power"
1394 #define MATCOLORINGNATURAL "natural"
1395 #define MATCOLORINGSL      "sl"
1396 #define MATCOLORINGLF      "lf"
1397 #define MATCOLORINGID      "id"
1398 #define MATCOLORINGGREEDY  "greedy"
1399 
1400 /*E
1401    MatColoringWeightType - Type of weight scheme
1402 
1403     Not Collective
1404 
1405 +   MAT_COLORING_RANDOM  - Random weights
1406 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1407 -   MAT_COLORING_LF      - Last-first weighting.
1408 
1409     Level: intermediate
1410 
1411    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1412 
1413 .seealso: MatColoring, MatColoringCreate()
1414 E*/
1415 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1416 
1417 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1418 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1419 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1420 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1421 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1422 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1423 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1424 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1425 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1426 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1427 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1428 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1429 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1430 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1431 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1432 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1433 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring,ISColoring);
1434 PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring,ISColoring iscoloring) {return MatColoringTest(matcoloring,iscoloring);}
1435 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat,ISColoring);
1436 
1437 /*S
1438      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1439         and coloring
1440 
1441    Level: beginner
1442 
1443    Notes:
1444       This object is creating utilizing a coloring provided by the MatColoring object or DMCreateColoring()
1445 
1446 .seealso:  MatFDColoringCreate(), MatColoring, DMCreateColoring()
1447 S*/
1448 typedef struct _p_MatFDColoring* MatFDColoring;
1449 
1450 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1451 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1452 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1453 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1454 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1455 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1456 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1457 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1458 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1459 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1460 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1461 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1462 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat,MatFDColoring,const PetscScalar*);
1463 
1464 /*S
1465      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1466 
1467    Level: beginner
1468 
1469 .seealso:  MatTransposeColoringCreate()
1470 S*/
1471 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1472 
1473 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1474 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1475 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1476 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1477 
1478 /*
1479     These routines are for partitioning matrices: currently used only
1480   for adjacency matrix, MatCreateMPIAdj().
1481 */
1482 
1483 /*S
1484      MatPartitioning - Object for managing the partitioning of a matrix or graph
1485 
1486    Level: beginner
1487 
1488    Notes:
1489      There is also a PetscPartitioner object that provides the same functionality. It can utilize the MatPartitioning operations
1490      via PetscPartitionerSetType(p,PETSCPARTITIONERMATPARTITIONING)
1491 
1492    Developers Note:
1493      It is an extra maintainance and documentation cost to have two objects with the same functionality.
1494 
1495 .seealso:  MatPartitioningCreate(), MatPartitioningType, MatColoring, MatGetOrdering()
1496 S*/
1497 typedef struct _p_MatPartitioning* MatPartitioning;
1498 
1499 /*J
1500     MatPartitioningType - String with the name of a PETSc matrix partitioning
1501 
1502    Level: beginner
1503 dm
1504 .seealso: MatPartitioningCreate(), MatPartitioning
1505 J*/
1506 typedef const char* MatPartitioningType;
1507 #define MATPARTITIONINGCURRENT  "current"
1508 #define MATPARTITIONINGAVERAGE   "average"
1509 #define MATPARTITIONINGSQUARE   "square"
1510 #define MATPARTITIONINGPARMETIS "parmetis"
1511 #define MATPARTITIONINGCHACO    "chaco"
1512 #define MATPARTITIONINGPARTY    "party"
1513 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1514 #define MATPARTITIONINGHIERARCH  "hierarch"
1515 
1516 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1517 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1518 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1519 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1520 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1521 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1522 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning,PetscBool);
1523 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning,PetscBool*);
1524 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1525 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning,IS*);
1526 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning,IS);
1527 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning,IS*);
1528 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1529 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1530 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1531 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning,PetscObject,const char[]);
1532 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1533 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1534 
1535 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1536 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1537 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1538 
1539 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1540 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1541 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1542 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1543 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1544 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1545 
1546 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1547 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1548 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1549 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1550 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1551 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1552 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1553 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1554 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1555 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1556 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1557 
1558 #define MP_PARTY_OPT "opt"
1559 #define MP_PARTY_LIN "lin"
1560 #define MP_PARTY_SCA "sca"
1561 #define MP_PARTY_RAN "ran"
1562 #define MP_PARTY_GBF "gbf"
1563 #define MP_PARTY_GCF "gcf"
1564 #define MP_PARTY_BUB "bub"
1565 #define MP_PARTY_DEF "def"
1566 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1567 #define MP_PARTY_HELPFUL_SETS "hs"
1568 #define MP_PARTY_KERNIGHAN_LIN "kl"
1569 #define MP_PARTY_NONE "no"
1570 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1571 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1572 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1573 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1574 
1575 typedef enum { MP_PTSCOTCH_DEFAULT,MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1576 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1577 
1578 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1579 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1580 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1581 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1582 
1583 /*
1584  * hierarchical partitioning
1585  */
1586 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1587 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1588 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1589 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1590 
1591 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1592 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1593 
1594 /*
1595     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1596     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1597 */
1598 typedef enum { MATOP_SET_VALUES=0,
1599                MATOP_GET_ROW=1,
1600                MATOP_RESTORE_ROW=2,
1601                MATOP_MULT=3,
1602                MATOP_MULT_ADD=4,
1603                MATOP_MULT_TRANSPOSE=5,
1604                MATOP_MULT_TRANSPOSE_ADD=6,
1605                MATOP_SOLVE=7,
1606                MATOP_SOLVE_ADD=8,
1607                MATOP_SOLVE_TRANSPOSE=9,
1608                MATOP_SOLVE_TRANSPOSE_ADD=10,
1609                MATOP_LUFACTOR=11,
1610                MATOP_CHOLESKYFACTOR=12,
1611                MATOP_SOR=13,
1612                MATOP_TRANSPOSE=14,
1613                MATOP_GETINFO=15,
1614                MATOP_EQUAL=16,
1615                MATOP_GET_DIAGONAL=17,
1616                MATOP_DIAGONAL_SCALE=18,
1617                MATOP_NORM=19,
1618                MATOP_ASSEMBLY_BEGIN=20,
1619                MATOP_ASSEMBLY_END=21,
1620                MATOP_SET_OPTION=22,
1621                MATOP_ZERO_ENTRIES=23,
1622                MATOP_ZERO_ROWS=24,
1623                MATOP_LUFACTOR_SYMBOLIC=25,
1624                MATOP_LUFACTOR_NUMERIC=26,
1625                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1626                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1627                MATOP_SETUP_PREALLOCATION=29,
1628                MATOP_ILUFACTOR_SYMBOLIC=30,
1629                MATOP_ICCFACTOR_SYMBOLIC=31,
1630                MATOP_GET_DIAGONAL_BLOCK=32,
1631                MATOP_FREE_INTER_STRUCT=33,
1632                MATOP_DUPLICATE=34,
1633                MATOP_FORWARD_SOLVE=35,
1634                MATOP_BACKWARD_SOLVE=36,
1635                MATOP_ILUFACTOR=37,
1636                MATOP_ICCFACTOR=38,
1637                MATOP_AXPY=39,
1638                MATOP_CREATE_SUBMATRICES=40,
1639                MATOP_INCREASE_OVERLAP=41,
1640                MATOP_GET_VALUES=42,
1641                MATOP_COPY=43,
1642                MATOP_GET_ROW_MAX=44,
1643                MATOP_SCALE=45,
1644                MATOP_SHIFT=46,
1645                MATOP_DIAGONAL_SET=47,
1646                MATOP_ZERO_ROWS_COLUMNS=48,
1647                MATOP_SET_RANDOM=49,
1648                MATOP_GET_ROW_IJ=50,
1649                MATOP_RESTORE_ROW_IJ=51,
1650                MATOP_GET_COLUMN_IJ=52,
1651                MATOP_RESTORE_COLUMN_IJ=53,
1652                MATOP_FDCOLORING_CREATE=54,
1653                MATOP_COLORING_PATCH=55,
1654                MATOP_SET_UNFACTORED=56,
1655                MATOP_PERMUTE=57,
1656                MATOP_SET_VALUES_BLOCKED=58,
1657                MATOP_CREATE_SUBMATRIX=59,
1658                MATOP_DESTROY=60,
1659                MATOP_VIEW=61,
1660                MATOP_CONVERT_FROM=62,
1661                MATOP_MATMAT_MULT=63,
1662                MATOP_MATMAT_MULT_SYMBOLIC=64,
1663                MATOP_MATMAT_MULT_NUMERIC=65,
1664                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1665                MATOP_SET_VALUES_LOCAL=67,
1666                MATOP_ZERO_ROWS_LOCAL=68,
1667                MATOP_GET_ROW_MAX_ABS=69,
1668                MATOP_GET_ROW_MIN_ABS=70,
1669                MATOP_CONVERT=71,
1670                MATOP_SET_COLORING=72,
1671                /* MATOP_PLACEHOLDER_73=73, */
1672                MATOP_SET_VALUES_ADIFOR=74,
1673                MATOP_FD_COLORING_APPLY=75,
1674                MATOP_SET_FROM_OPTIONS=76,
1675                MATOP_MULT_CONSTRAINED=77,
1676                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1677                MATOP_FIND_ZERO_DIAGONALS=79,
1678                MATOP_MULT_MULTIPLE=80,
1679                MATOP_SOLVE_MULTIPLE=81,
1680                MATOP_GET_INERTIA=82,
1681                MATOP_LOAD=83,
1682                MATOP_IS_SYMMETRIC=84,
1683                MATOP_IS_HERMITIAN=85,
1684                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1685                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1686                MATOP_CREATE_VECS=88,
1687                MATOP_MAT_MULT=89,
1688                MATOP_MAT_MULT_SYMBOLIC=90,
1689                MATOP_MAT_MULT_NUMERIC=91,
1690                MATOP_PTAP=92,
1691                MATOP_PTAP_SYMBOLIC=93,
1692                MATOP_PTAP_NUMERIC=94,
1693                MATOP_MAT_TRANSPOSE_MULT=95,
1694                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1695                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1696                /* MATOP_PLACEHOLDER_98=98, */
1697                MATOP_PRODUCTSETFROMOPTIONS=99,
1698                MATOP_PRODUCTSYMBOLIC=100,
1699                MATOP_PRODUCTNUMERIC=101,
1700                MATOP_CONJUGATE=102,
1701                /* MATOP_PLACEHOLDER_103=103, */
1702                MATOP_SET_VALUES_ROW=104,
1703                MATOP_REAL_PART=105,
1704                MATOP_IMAGINARY_PART=106,
1705                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1706                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1707                MATOP_MAT_SOLVE=109,
1708                MATOP_MAT_SOLVE_TRANSPOSE=110,
1709                MATOP_GET_ROW_MIN=111,
1710                MATOP_GET_COLUMN_VECTOR=112,
1711                MATOP_MISSING_DIAGONAL=113,
1712                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1713                MATOP_CREATE=115,
1714                MATOP_GET_GHOSTS=116,
1715                MATOP_GET_LOCAL_SUB_MATRIX=117,
1716                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1717                MATOP_MULT_DIAGONAL_BLOCK=119,
1718                MATOP_HERMITIAN_TRANSPOSE=120,
1719                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1720                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1721                MATOP_GET_MULTI_PROC_BLOCK=123,
1722                MATOP_FIND_NONZERO_ROWS=124,
1723                MATOP_GET_COLUMN_NORMS=125,
1724                MATOP_INVERT_BLOCK_DIAGONAL=126,
1725                /* MATOP_PLACEHOLDER_127=127, */
1726                MATOP_CREATE_SUB_MATRICES_MPI=128,
1727                MATOP_SET_VALUES_BATCH=129,
1728                MATOP_TRANSPOSE_MAT_MULT=130,
1729                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1730                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1731                MATOP_TRANSPOSE_COLORING_CREAT=133,
1732                MATOP_TRANS_COLORING_APPLY_SPT=134,
1733                MATOP_TRANS_COLORING_APPLY_DEN=135,
1734                MATOP_RART=136,
1735                MATOP_RART_SYMBOLIC=137,
1736                MATOP_RART_NUMERIC=138,
1737                MATOP_SET_BLOCK_SIZES=139,
1738                MATOP_AYPX=140,
1739                MATOP_RESIDUAL=141,
1740                MATOP_FDCOLORING_SETUP=142,
1741                MATOP_MPICONCATENATESEQ=144,
1742                MATOP_DESTROYSUBMATRICES=145,
1743                MATOP_TRANSPOSE_SOLVE=146,
1744                MATOP_GET_VALUES_LOCAL=147
1745              } MatOperation;
1746 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat,MatOperation,void(*)(void));
1747 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat,MatOperation,void(**)(void));
1748 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool*);
1749 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat,PetscBool*);
1750 PETSC_DEPRECATED_FUNCTION("Use MatProductClear() (since version 3.14)") static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A) {return MatProductClear(A);}
1751 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1752 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1753 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1754 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat,VecType);
1755 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1756 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1757 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1758 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat,MatProductType,PetscErrorCode (*)(Mat,Mat,Mat,void**),PetscErrorCode (*)(Mat,Mat,Mat,void*),PetscErrorCode (*)(void*),MatType,MatType);
1759 PETSC_EXTERN PetscErrorCode MatIsShell(Mat,PetscBool*);
1760 
1761 /*
1762    Codes for matrices stored on disk. By default they are
1763    stored in a universal format. By changing the format with
1764    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1765    be stored in a way natural for the matrix, for example dense matrices
1766    would be stored as dense. Matrices stored this way may only be
1767    read into matrices of the same type.
1768 */
1769 #define MATRIX_BINARY_FORMAT_DENSE -1
1770 
1771 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1772 
1773 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat,MatType);
1774 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1775 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat,PetscBool);
1776 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat,PetscBool);
1777 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1778 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1779 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1780 PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
1781 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1782 
1783 /*S
1784      MatNullSpace - Object that removes a null space from a vector, i.e.
1785          orthogonalizes the vector to a subspace
1786 
1787    Level: advanced
1788 
1789 .seealso:  MatNullSpaceCreate()
1790 S*/
1791 typedef struct _p_MatNullSpace* MatNullSpace;
1792 
1793 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1794 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1795 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1796 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1797 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1798 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1799 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1800 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1801 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1802 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1803 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1804 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1805 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1806 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1807 
1808 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1809 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1810 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1811 
1812 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1813 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1814 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1815 
1816 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat,MatType,Mat*);
1817 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat,MatType,Mat*);
1818 
1819 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperator(Mat A,Mat* B) { return MatComputeOperator(A,NULL,B); }
1820 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A,Mat* B) { return MatComputeOperatorTranspose(A,NULL,B); }
1821 
1822 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat,PetscInt,PetscInt,const PetscScalar[],const PetscScalar[],Mat*);
1823 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat,Mat*);
1824 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat,PetscInt*,PetscInt*,PetscScalar**);
1825 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1826 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat,PetscScalar**);
1827 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat,const PetscScalar**);
1828 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat,PetscInt*,PetscInt*,PetscScalar**);
1829 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1830 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat,PetscScalar**);
1831 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat,const PetscScalar**);
1832 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat,Mat);
1833 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat,PetscInt,PetscInt,const PetscScalar[]);
1834 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat,PetscInt,PetscInt,const PetscScalar[]);
1835 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat,PetscBool*);
1836 
1837 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1838 
1839 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1840 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1841 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1842 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1843 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1844 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1845 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1846 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1847 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1848 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1849 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1850 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1851 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1852 
1853 /*S
1854     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1855               Jacobian vector products
1856 
1857     Notes:
1858     MATMFFD is a specific MatType which uses the MatMFFD data structure
1859 
1860            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1861 
1862     Level: developer
1863 
1864 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1865 S*/
1866 typedef struct _p_MatMFFD* MatMFFD;
1867 
1868 /*J
1869     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1870 
1871    Level: beginner
1872 
1873 .seealso: MatMFFDSetType(), MatMFFDRegister()
1874 J*/
1875 typedef const char* MatMFFDType;
1876 #define MATMFFD_DS  "ds"
1877 #define MATMFFD_WP  "wp"
1878 
1879 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1880 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1881 
1882 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1883 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool);
1884 
1885 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1886 
1887 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1888 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1889 
1890 #ifdef PETSC_HAVE_H2OPUS
1891 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatH2OpusKernel)(PetscInt,PetscReal[],PetscReal[],void*);
1892 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscReal[],PetscBool,MatH2OpusKernel,void*,PetscReal,PetscInt,PetscInt,Mat*);
1893 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat,PetscInt,const PetscReal[],PetscBool,PetscReal,PetscInt,PetscInt,PetscInt,PetscReal,Mat*);
1894 PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat,Mat,PetscInt,PetscReal);
1895 PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
1896 PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat,PetscReal);
1897 PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat,PetscBool);
1898 PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat,PetscBool*);
1899 PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat,IS*);
1900 PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat,PetscBool,Vec,Vec*);
1901 PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat,Mat,Mat,PetscScalar);
1902 #endif
1903 
1904 #ifdef PETSC_HAVE_HTOOL
1905 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatHtoolKernel)(PetscInt,PetscInt,PetscInt,const PetscInt*,const PetscInt*,PetscScalar*,void*);
1906 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscReal[],const PetscReal[],MatHtoolKernel,void*,Mat*);
1907 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat,MatHtoolKernel,void*);
1908 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat,IS*);
1909 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat,IS*);
1910 PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat,PetscBool);
1911 /*E
1912      MatHtoolCompressorType - Indicates the type of compressor used by a MATHTOOL
1913 
1914    Level: beginner
1915 
1916     Values:
1917 +   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA (default) - symmetric partial adaptive cross approximation
1918 .   MAT_HTOOL_COMPRESSOR_FULL_ACA - full adaptive cross approximation
1919 -   MAT_HTOOL_COMPRESSOR_SVD - singular value decomposition
1920 
1921 .seealso: MatCreateHtoolFromKernel(), MATHTOOL, MatHtoolClusteringType
1922 E*/
1923 typedef enum { MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA, MAT_HTOOL_COMPRESSOR_FULL_ACA, MAT_HTOOL_COMPRESSOR_SVD } MatHtoolCompressorType;
1924 /*E
1925      MatHtoolClusteringType - Indicates the type of clustering used by a MATHTOOL
1926 
1927    Level: beginner
1928 
1929     Values:
1930 +   MAT_HTOOL_CLUSTERING_PCA_REGULAR (default) - axis computed via principle component analysis, split uniformly
1931 .   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC - axis computed via principle component analysis, split barycentrically
1932 .   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR - axis along the largest extent of the bounding box, split uniformly
1933 -   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC - axis along the largest extent of the bounding box, split barycentrically
1934 
1935     Notes: higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
1936 
1937 .seealso: MatCreateHtoolFromKernel(), MATHTOOL, MatHtoolCompressorType
1938 E*/
1939 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;
1940 #endif
1941 
1942 /*
1943    PETSc interface to MUMPS
1944 */
1945 #ifdef PETSC_HAVE_MUMPS
1946 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1947 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1948 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1949 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1950 
1951 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1952 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1953 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1954 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1955 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat,Mat);
1956 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat,Mat);
1957 #endif
1958 
1959 /*
1960    PETSc interface to Mkl_Pardiso
1961 */
1962 #ifdef PETSC_HAVE_MKL_PARDISO
1963 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1964 #endif
1965 
1966 /*
1967    PETSc interface to Mkl_CPardiso
1968 */
1969 #ifdef PETSC_HAVE_MKL_CPARDISO
1970 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1971 #endif
1972 
1973 /*
1974    PETSc interface to SUPERLU
1975 */
1976 #ifdef PETSC_HAVE_SUPERLU
1977 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1978 #endif
1979 
1980 /*
1981    PETSc interface to SUPERLU_DIST
1982 */
1983 #ifdef PETSC_HAVE_SUPERLU_DIST
1984 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1985 #endif
1986 
1987 /*
1988    PETSc interface to STRUMPACK
1989 */
1990 #ifdef PETSC_HAVE_STRUMPACK
1991 /*E
1992     MatSTRUMPACKReordering - sparsity reducing ordering to be used in STRUMPACK
1993 
1994     Level: intermediate
1995 E*/
1996 typedef enum {MAT_STRUMPACK_NATURAL=0,
1997               MAT_STRUMPACK_METIS=1,
1998               MAT_STRUMPACK_PARMETIS=2,
1999               MAT_STRUMPACK_SCOTCH=3,
2000               MAT_STRUMPACK_PTSCOTCH=4,
2001               MAT_STRUMPACK_RCM=5} MatSTRUMPACKReordering;
2002 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat,MatSTRUMPACKReordering);
2003 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
2004 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat,PetscReal);
2005 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat,PetscReal rtol) {return MatSTRUMPACKSetHSSRelTol(mat,rtol);}
2006 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat,PetscReal);
2007 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat,PetscInt);
2008 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat,PetscInt hssminsize) {return MatSTRUMPACKSetHSSMinSepSize(mat,hssminsize);}
2009 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat,PetscInt);
2010 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat,PetscInt);
2011 #endif
2012 
2013 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat,PetscBool);
2014 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat,PetscBool*);
2015 PETSC_DEPRECATED_FUNCTION("Use MatBindToCPU (since v3.13)") static inline PetscErrorCode MatPinToCPU(Mat A,PetscBool flg) {return MatBindToCPU(A,flg);}
2016 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat,PetscBool);
2017 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat,PetscBool *);
2018 
2019 typedef struct _n_SplitCSRMat *PetscSplitCSRDataStructure;
2020 PETSC_EXTERN PetscErrorCode MatCUSPARSEGetDeviceMatWrite(Mat,PetscSplitCSRDataStructure*);
2021 
2022 #ifdef PETSC_HAVE_KOKKOS_KERNELS
2023 PETSC_EXTERN PetscErrorCode MatKokkosGetDeviceMatWrite(Mat,PetscSplitCSRDataStructure*);
2024 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosSetDeviceMat(Mat,PetscSplitCSRDataStructure);
2025 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosGetDeviceMat(Mat,PetscSplitCSRDataStructure*);
2026 #endif
2027 
2028 #ifdef PETSC_HAVE_CUDA
2029 /*E
2030     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
2031     matrices.
2032 
2033     Not Collective
2034 
2035 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
2036 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
2037 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2038 
2039     Level: intermediate
2040 
2041    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
2042 
2043 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
2044 E*/
2045 
2046 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
2047 
2048 /* these will be strings associated with enumerated type defined above */
2049 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2050 
2051 /*E
2052     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
2053     matrices whose operation should use a particular storage format.
2054 
2055     Not Collective
2056 
2057 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
2058 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
2059 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
2060 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
2061 
2062     Level: intermediate
2063 
2064 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
2065 E*/
2066 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
2067 
2068 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
2069 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
2070 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
2071 PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat,PetscBool);
2072 typedef struct Mat_SeqAIJCUSPARSETriFactors* Mat_SeqAIJCUSPARSETriFactors_p;
2073 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat,PetscBool,const int**,const int**);
2074 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat,PetscBool,const int**,const int**);
2075 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat,const PetscScalar**);
2076 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat,const PetscScalar**);
2077 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat,PetscScalar**);
2078 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat,PetscScalar**);
2079 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat,PetscScalar**);
2080 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat,PetscScalar**);
2081 
2082 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
2083 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
2084 PETSC_EXTERN PetscErrorCode MatMPIDenseCUDASetPreallocation(Mat,PetscScalar[]);
2085 PETSC_EXTERN PetscErrorCode MatSeqDenseCUDASetPreallocation(Mat,PetscScalar[]);
2086 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat,PetscScalar**);
2087 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat,const PetscScalar**);
2088 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat,PetscScalar**);
2089 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat,PetscScalar**);
2090 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat,const PetscScalar**);
2091 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat,PetscScalar**);
2092 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat,const PetscScalar*);
2093 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat,const PetscScalar*);
2094 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2095 
2096 #endif
2097 
2098 #if defined(PETSC_HAVE_VIENNACL)
2099 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
2100 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
2101 #endif
2102 
2103 /*
2104    PETSc interface to FFTW
2105 */
2106 #if defined(PETSC_HAVE_FFTW)
2107 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
2108 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
2109 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
2110 #endif
2111 
2112 #if defined(PETSC_HAVE_SCALAPACK)
2113 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
2114 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat,PetscInt,PetscInt);
2115 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat,PetscInt*,PetscInt*);
2116 #endif
2117 
2118 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
2119 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
2120 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
2121 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
2122 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
2123 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
2124 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
2125 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
2126 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
2127 
2128 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
2129 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
2130 
2131 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
2132 
2133 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
2134 
2135 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
2136 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
2137 
2138 PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat,const PetscInt**,const PetscInt**,PetscScalar**,PetscMemType*);
2139 #endif
2140