Actual source code: petscmat.h

  1: /*
  2:      Include file for the matrix component of PETSc
  3: */
  4: #ifndef PETSCMAT_H
  5: #define PETSCMAT_H

  7: #include <petscvec.h>

  9: /* SUBMANSEC = Mat */

 11: /*S
 12:      Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
 13:            an explicit sparse representation (such as matrix-free operators)

 15:    Level: beginner

 17: .seealso: `MatCreate()`, `MatType`, `MatSetType()`, `MatDestroy()`
 18: S*/
 19: typedef struct _p_Mat *Mat;

 21: /*J
 22:     MatType - String with the name of a PETSc matrix type

 24:    Level: beginner

 26: .seealso: `MatSetType()`, `Mat`, `MatSolverType`, `MatRegister()`
 27: J*/
 28: typedef const char *MatType;
 29: #define MATSAME                      "same"
 30: #define MATMAIJ                      "maij"
 31: #define MATSEQMAIJ                   "seqmaij"
 32: #define MATMPIMAIJ                   "mpimaij"
 33: #define MATKAIJ                      "kaij"
 34: #define MATSEQKAIJ                   "seqkaij"
 35: #define MATMPIKAIJ                   "mpikaij"
 36: #define MATIS                        "is"
 37: #define MATAIJ                       "aij"
 38: #define MATSEQAIJ                    "seqaij"
 39: #define MATMPIAIJ                    "mpiaij"
 40: #define MATAIJCRL                    "aijcrl"
 41: #define MATSEQAIJCRL                 "seqaijcrl"
 42: #define MATMPIAIJCRL                 "mpiaijcrl"
 43: #define MATAIJCUSPARSE               "aijcusparse"
 44: #define MATSEQAIJCUSPARSE            "seqaijcusparse"
 45: #define MATMPIAIJCUSPARSE            "mpiaijcusparse"
 46: #define MATAIJHIPSPARSE              "aijhipsparse"
 47: #define MATSEQAIJHIPSPARSE           "seqaijhipsparse"
 48: #define MATMPIAIJHIPSPARSE           "mpiaijhipsparse"
 49: #define MATAIJKOKKOS                 "aijkokkos"
 50: #define MATSEQAIJKOKKOS              "seqaijkokkos"
 51: #define MATMPIAIJKOKKOS              "mpiaijkokkos"
 52: #define MATAIJVIENNACL               "aijviennacl"
 53: #define MATSEQAIJVIENNACL            "seqaijviennacl"
 54: #define MATMPIAIJVIENNACL            "mpiaijviennacl"
 55: #define MATAIJPERM                   "aijperm"
 56: #define MATSEQAIJPERM                "seqaijperm"
 57: #define MATMPIAIJPERM                "mpiaijperm"
 58: #define MATAIJSELL                   "aijsell"
 59: #define MATSEQAIJSELL                "seqaijsell"
 60: #define MATMPIAIJSELL                "mpiaijsell"
 61: #define MATAIJMKL                    "aijmkl"
 62: #define MATSEQAIJMKL                 "seqaijmkl"
 63: #define MATMPIAIJMKL                 "mpiaijmkl"
 64: #define MATBAIJMKL                   "baijmkl"
 65: #define MATSEQBAIJMKL                "seqbaijmkl"
 66: #define MATMPIBAIJMKL                "mpibaijmkl"
 67: #define MATSHELL                     "shell"
 68: #define MATCENTERING                 "centering"
 69: #define MATDENSE                     "dense"
 70: #define MATDENSECUDA                 "densecuda"
 71: #define MATDENSEHIP                  "densehip"
 72: #define MATSEQDENSE                  "seqdense"
 73: #define MATSEQDENSECUDA              "seqdensecuda"
 74: #define MATSEQDENSEHIP               "seqdensehip"
 75: #define MATMPIDENSE                  "mpidense"
 76: #define MATMPIDENSECUDA              "mpidensecuda"
 77: #define MATMPIDENSEHIP               "mpidensehip"
 78: #define MATELEMENTAL                 "elemental"
 79: #define MATSCALAPACK                 "scalapack"
 80: #define MATBAIJ                      "baij"
 81: #define MATSEQBAIJ                   "seqbaij"
 82: #define MATMPIBAIJ                   "mpibaij"
 83: #define MATMPIADJ                    "mpiadj"
 84: #define MATSBAIJ                     "sbaij"
 85: #define MATSEQSBAIJ                  "seqsbaij"
 86: #define MATMPISBAIJ                  "mpisbaij"
 87: #define MATMFFD                      "mffd"
 88: #define MATNORMAL                    "normal"
 89: #define MATNORMALHERMITIAN           "normalh"
 90: #define MATLRC                       "lrc"
 91: #define MATSCATTER                   "scatter"
 92: #define MATBLOCKMAT                  "blockmat"
 93: #define MATCOMPOSITE                 "composite"
 94: #define MATFFT                       "fft"
 95: #define MATFFTW                      "fftw"
 96: #define MATSEQCUFFT                  "seqcufft"
 97: #define MATSEQHIPFFT                 "seqhipfft"
 98: #define MATTRANSPOSEMAT              PETSC_DEPRECATED_MACRO("GCC warning \"MATTRANSPOSEMAT macro is deprecated use MATTRANSPOSEVIRTUAL (since version 3.18)\"") "transpose"
 99: #define MATTRANSPOSEVIRTUAL          "transpose"
100: #define MATHERMITIANTRANSPOSEVIRTUAL "hermitiantranspose"
101: #define MATSCHURCOMPLEMENT           "schurcomplement"
102: #define MATPYTHON                    "python"
103: #define MATHYPRE                     "hypre"
104: #define MATHYPRESTRUCT               "hyprestruct"
105: #define MATHYPRESSTRUCT              "hypresstruct"
106: #define MATSUBMATRIX                 "submatrix"
107: #define MATLOCALREF                  "localref"
108: #define MATNEST                      "nest"
109: #define MATPREALLOCATOR              "preallocator"
110: #define MATSELL                      "sell"
111: #define MATSEQSELL                   "seqsell"
112: #define MATMPISELL                   "mpisell"
113: #define MATDUMMY                     "dummy"
114: #define MATLMVM                      "lmvm"
115: #define MATLMVMDFP                   "lmvmdfp"
116: #define MATLMVMBFGS                  "lmvmbfgs"
117: #define MATLMVMSR1                   "lmvmsr1"
118: #define MATLMVMBROYDEN               "lmvmbroyden"
119: #define MATLMVMBADBROYDEN            "lmvmbadbroyden"
120: #define MATLMVMSYMBROYDEN            "lmvmsymbroyden"
121: #define MATLMVMSYMBADBROYDEN         "lmvmsymbadbroyden"
122: #define MATLMVMDIAGBROYDEN           "lmvmdiagbroyden"
123: #define MATCONSTANTDIAGONAL          "constantdiagonal"
124: #define MATHTOOL                     "htool"
125: #define MATH2OPUS                    "h2opus"

127: /*J
128:     MatSolverType - String with the name of a PETSc matrix solver type.

130:     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc

132:    Level: beginner

134:    Notes:  MATSOLVERUMFPACK, MATSOLVERCHOLMOD, MATSOLVERKLU, MATSOLVERSPQR form the SuiteSparse package for which you can use --download-suitesparse

136: .seealso: `MatGetFactor()`, `PCFactorSetMatSolverType()`, `PCFactorGetMatSolverType()`
137: J*/
138: typedef const char *MatSolverType;
139: #define MATSOLVERSUPERLU         "superlu"
140: #define MATSOLVERSUPERLU_DIST    "superlu_dist"
141: #define MATSOLVERSTRUMPACK       "strumpack"
142: #define MATSOLVERUMFPACK         "umfpack"
143: #define MATSOLVERCHOLMOD         "cholmod"
144: #define MATSOLVERKLU             "klu"
145: #define MATSOLVERSPARSEELEMENTAL "sparseelemental"
146: #define MATSOLVERELEMENTAL       "elemental"
147: #define MATSOLVERSCALAPACK       "scalapack"
148: #define MATSOLVERESSL            "essl"
149: #define MATSOLVERLUSOL           "lusol"
150: #define MATSOLVERMUMPS           "mumps"
151: #define MATSOLVERMKL_PARDISO     "mkl_pardiso"
152: #define MATSOLVERMKL_CPARDISO    "mkl_cpardiso"
153: #define MATSOLVERPASTIX          "pastix"
154: #define MATSOLVERMATLAB          "matlab"
155: #define MATSOLVERPETSC           "petsc"
156: #define MATSOLVERBAS             "bas"
157: #define MATSOLVERCUSPARSE        "cusparse"
158: #define MATSOLVERCUSPARSEBAND    "cusparseband"
159: #define MATSOLVERCUDA            "cuda"
160: #define MATSOLVERHIPSPARSE       "hipsparse"
161: #define MATSOLVERHIPSPARSEBAND   "hipsparseband"
162: #define MATSOLVERHIP             "hip"
163: #define MATSOLVERKOKKOS          "kokkos"
164: #define MATSOLVERKOKKOSDEVICE    "kokkosdevice"
165: #define MATSOLVERSPQR            "spqr"

167: /*E
168:     MatFactorType - indicates what type of factorization is requested

170:     Level: beginner

172:    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h

174: .seealso: `MatSolverType`, `MatGetFactor()`, `MatGetFactorAvailable()`, `MatSolverTypeRegister()`
175: E*/
176: typedef enum {
177:   MAT_FACTOR_NONE,
178:   MAT_FACTOR_LU,
179:   MAT_FACTOR_CHOLESKY,
180:   MAT_FACTOR_ILU,
181:   MAT_FACTOR_ICC,
182:   MAT_FACTOR_ILUDT,
183:   MAT_FACTOR_QR,
184:   MAT_FACTOR_NUM_TYPES
185: } MatFactorType;
186: PETSC_EXTERN const char *const MatFactorTypes[];

188: PETSC_EXTERN PetscErrorCode MatGetFactor(Mat, MatSolverType, MatFactorType, Mat *);
189: PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat, MatSolverType, MatFactorType, PetscBool *);
190: PETSC_EXTERN PetscErrorCode MatFactorGetCanUseOrdering(Mat, PetscBool *);
191: PETSC_DEPRECATED_FUNCTION("Use MatFactorGetCanUseOrdering() (since version 3.15)") static inline PetscErrorCode MatFactorGetUseOrdering(Mat A, PetscBool *b)
192: {
193:   return MatFactorGetCanUseOrdering(A, b);
194: }
195: PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat, MatSolverType *);
196: PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat, MatFactorType *);
197: PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat, MatFactorType);
198: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatSolverFunction)(Mat, MatFactorType, Mat *);
199: PETSC_EXTERN PetscErrorCode            MatSolverTypeRegister(MatSolverType, MatType, MatFactorType, MatSolverFunction);
200: PETSC_EXTERN PetscErrorCode            MatSolverTypeGet(MatSolverType, MatType, MatFactorType, PetscBool *, PetscBool *, MatSolverFunction *);
201: typedef MatSolverType MatSolverPackage PETSC_DEPRECATED_TYPEDEF("Use MatSolverType (since version 3.9)");
202: PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeRegister() (since version 3.9)") static inline PetscErrorCode MatSolverPackageRegister(MatSolverType stype, MatType mtype, MatFactorType ftype, MatSolverFunction f)
203: {
204:   return MatSolverTypeRegister(stype, mtype, ftype, f);
205: }
206: 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)
207: {
208:   return MatSolverTypeGet(stype, mtype, ftype, foundmtype, foundstype, f);
209: }

211: /*E
212:     MatProductType - indicates what type of matrix product is requested

214:     Level: beginner

216: .seealso: `MatProductSetType()`
217: E*/
218: typedef enum {
219:   MATPRODUCT_UNSPECIFIED = 0,
220:   MATPRODUCT_AB,
221:   MATPRODUCT_AtB,
222:   MATPRODUCT_ABt,
223:   MATPRODUCT_PtAP,
224:   MATPRODUCT_RARt,
225:   MATPRODUCT_ABC
226: } MatProductType;
227: PETSC_EXTERN const char *const MatProductTypes[];

229: /*J
230:     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation

232:    Level: beginner

234: .seealso: `MatSetType()`, `Mat`, `MatProductSetAlgorithm()`, `MatProductType`
235: J*/
236: typedef const char *MatProductAlgorithm;
237: #define MATPRODUCTALGORITHMDEFAULT         "default"
238: #define MATPRODUCTALGORITHMSORTED          "sorted"
239: #define MATPRODUCTALGORITHMSCALABLE        "scalable"
240: #define MATPRODUCTALGORITHMSCALABLEFAST    "scalable_fast"
241: #define MATPRODUCTALGORITHMHEAP            "heap"
242: #define MATPRODUCTALGORITHMBHEAP           "btheap"
243: #define MATPRODUCTALGORITHMLLCONDENSED     "llcondensed"
244: #define MATPRODUCTALGORITHMROWMERGE        "rowmerge"
245: #define MATPRODUCTALGORITHMOUTERPRODUCT    "outerproduct"
246: #define MATPRODUCTALGORITHMATB             "at*b"
247: #define MATPRODUCTALGORITHMRAP             "rap"
248: #define MATPRODUCTALGORITHMNONSCALABLE     "nonscalable"
249: #define MATPRODUCTALGORITHMSEQMPI          "seqmpi"
250: #define MATPRODUCTALGORITHMBACKEND         "backend"
251: #define MATPRODUCTALGORITHMOVERLAPPING     "overlapping"
252: #define MATPRODUCTALGORITHMMERGED          "merged"
253: #define MATPRODUCTALGORITHMALLATONCE       "allatonce"
254: #define MATPRODUCTALGORITHMALLATONCEMERGED "allatonce_merged"
255: #define MATPRODUCTALGORITHMALLGATHERV      "allgatherv"
256: #define MATPRODUCTALGORITHMCYCLIC          "cyclic"
257: #if defined(PETSC_HAVE_HYPRE)
258:   #define MATPRODUCTALGORITHMHYPRE "hypre"
259: #endif

261: PETSC_EXTERN PetscErrorCode MatProductCreate(Mat, Mat, Mat, Mat *);
262: PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat, Mat, Mat, Mat);
263: PETSC_EXTERN PetscErrorCode MatProductSetType(Mat, MatProductType);
264: PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat, MatProductAlgorithm);
265: PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat, PetscReal);
266: PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
267: PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
268: PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
269: PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat, Mat, Mat, Mat);
270: PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
271: PETSC_EXTERN PetscErrorCode MatProductView(Mat, PetscViewer);
272: PETSC_EXTERN PetscErrorCode MatProductGetType(Mat, MatProductType *);
273: PETSC_EXTERN PetscErrorCode MatProductGetMats(Mat, Mat *, Mat *, Mat *);

275: /* Logging support */
276: #define MAT_FILE_CLASSID 1211216 /* used to indicate matrices in binary files */
277: PETSC_EXTERN PetscClassId MAT_CLASSID;
278: PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
279: PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
280: PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
281: PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
282: PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
283: PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
284: PETSC_EXTERN PetscClassId MATMFFD_CLASSID;

286: /*E
287:     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
288:      are to be reused to store the new matrix values.

290: $  MAT_INITIAL_MATRIX - create a new matrix
291: $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
292: $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
293: $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)

295:     Level: beginner

297:    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h

299: .seealso: `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatDestroyMatrices()`, `MatConvert()`
300: E*/
301: typedef enum {
302:   MAT_INITIAL_MATRIX,
303:   MAT_REUSE_MATRIX,
304:   MAT_IGNORE_MATRIX,
305:   MAT_INPLACE_MATRIX
306: } MatReuse;

308: /*E
309:     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
310:      include the matrix values. Currently it is only used by MatGetSeqNonzeroStructure().

312:     Level: beginner

314: .seealso: `MatGetSeqNonzeroStructure()`
315: E*/
316: typedef enum {
317:   MAT_DO_NOT_GET_VALUES,
318:   MAT_GET_VALUES
319: } MatCreateSubMatrixOption;

321: PETSC_EXTERN PetscErrorCode MatInitializePackage(void);

323: PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm, Mat *);
324: PETSC_EXTERN PetscErrorCode MatSetSizes(Mat, PetscInt, PetscInt, PetscInt, PetscInt);
325: PETSC_EXTERN PetscErrorCode MatSetType(Mat, MatType);
326: PETSC_EXTERN PetscErrorCode MatGetVecType(Mat, VecType *);
327: PETSC_EXTERN PetscErrorCode MatSetVecType(Mat, VecType);
328: PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
329: PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat, PetscObject, const char[]);
330: PETSC_EXTERN PetscErrorCode MatRegister(const char[], PetscErrorCode (*)(Mat));
331: PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[], const char[], const char[]);
332: PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat, const char[]);
333: PETSC_EXTERN PetscErrorCode MatSetOptionsPrefixFactor(Mat, const char[]);
334: PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefixFactor(Mat, const char[]);
335: PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat, const char[]);
336: PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat, const char *[]);
337: PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat, PetscBool);

339: PETSC_EXTERN PetscFunctionList MatList;
340: PETSC_EXTERN PetscFunctionList MatColoringList;
341: PETSC_EXTERN PetscFunctionList MatPartitioningList;

343: /*E
344:     MatStructure - Indicates if two matrices have the same nonzero structure

346:     Level: beginner

348: $  SAME_NONZERO_PATTERN  - the two matrices have identical nonzero patterns
349: $  DIFFERENT_NONZERO_PATTERN - the two matrices may have different nonzero patterns
350: $  SUBSET_NONZERO_PATTERN - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
351: $  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

353:    Developer Notes:
354:      Any additions/changes here MUST also be made in src/mat/f90-mod/petscmat.h

356: .seealso: `MatCopy()`, `MatAXPY()`, `MatAYPX()`
357: E*/
358: typedef enum {
359:   DIFFERENT_NONZERO_PATTERN,
360:   SUBSET_NONZERO_PATTERN,
361:   SAME_NONZERO_PATTERN,
362:   UNKNOWN_NONZERO_PATTERN
363: } MatStructure;
364: PETSC_EXTERN const char *const MatStructures[];

366: #if defined                 PETSC_HAVE_MKL_SPARSE
367: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
368: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
369: PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
370: PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
371: #endif

373: PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
374: PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
375: PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat, PetscInt, const PetscInt[]);
376: PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);

378: PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
379: PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
380: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
381: PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
382: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
383: PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
384: PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArray(Mat, const PetscScalar[]);
385: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], PetscInt[], PetscInt[], PetscScalar[], Mat *);
386: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm, Mat, Mat, const PetscInt[], Mat *);

388: PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
389: PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
390: PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);

392: PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat, PetscCount, PetscInt[], PetscInt[]);
393: PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat, PetscCount, PetscInt[], PetscInt[]);
394: PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat, const PetscScalar[], InsertMode);

396: PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscInt[], Mat *);
397: PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);

399: PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
400: PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
401: PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
402: PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
403: PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], const PetscInt[]);

405: PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, void *, Mat *);
406: PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm, PetscInt, PetscInt, Mat *);
407: PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat, Mat *);
408: PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat, Mat *);
409: PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat, Mat, Vec, Mat, Mat *);
410: PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat, Mat *, Mat *, Vec *, Mat *);
411: PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, ISLocalToGlobalMapping, ISLocalToGlobalMapping, Mat *);
412: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
413: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);

415: PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm, VecScatter, Mat *);
416: PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat, VecScatter);
417: PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat, VecScatter *);
418: PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt *, Mat *);
419: PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat, Mat);
420: PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
421: typedef enum {
422:   MAT_COMPOSITE_MERGE_RIGHT,
423:   MAT_COMPOSITE_MERGE_LEFT
424: } MatCompositeMergeType;
425: PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat, MatCompositeMergeType);
426: PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm, PetscInt, const Mat *, Mat *);
427: typedef enum {
428:   MAT_COMPOSITE_ADDITIVE,
429:   MAT_COMPOSITE_MULTIPLICATIVE
430: } MatCompositeType;
431: PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat, MatCompositeType);
432: PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat, MatCompositeType *);
433: PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat, MatStructure);
434: PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat, MatStructure *);
435: PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat, PetscInt *);
436: PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat, PetscInt, Mat *);
437: PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat, const PetscScalar *);

439: PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm, PetscInt, const PetscInt[], MatType, Mat *);
440: PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm, PetscInt, const PetscInt[], Mat *);

442: PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat, Mat *);
443: PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat, Mat *);
444: PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat, Mat *);
445: PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat, Mat *);
446: PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat, Mat *);
447: PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat, Mat *);
448: PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat, IS, IS, Mat *);
449: PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat, Mat, IS, IS);
450: PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat, IS, IS, Mat *);
451: PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar, Mat *);

453: #if defined(PETSC_HAVE_HYPRE)
454: PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
455: #endif

457: PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat, const char[]);
458: PETSC_EXTERN PetscErrorCode MatPythonGetType(Mat, const char *[]);

460: PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
461: PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
462: PETSC_EXTERN PetscErrorCode MatDestroy(Mat *);
463: PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat, PetscObjectState *);

465: PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
466: PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
467: PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
468: PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat, Mat *);
469: PETSC_EXTERN PetscErrorCode MatGetTrace(Mat, PetscScalar *);
470: PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat, const PetscScalar **);
471: PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat, PetscInt, const PetscInt *, PetscScalar *);
472: PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat, Mat);
473: PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat, MatReuse, Mat *);

475: /* ------------------------------------------------------------*/
476: PETSC_EXTERN PetscErrorCode MatSetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
477: PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat, IS, IS, const PetscScalar[], InsertMode);
478: PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
479: PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat, PetscInt, const PetscScalar[]);
480: PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat, PetscInt, const PetscScalar[]);
481: PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt[], const PetscScalar[]);
482: PETSC_EXTERN PetscErrorCode MatSetRandom(Mat, PetscRandom);

484: /*S
485:      MatStencil - Data structure (C struct) for storing information about a single row or
486:         column of a matrix as indexed on an associated grid. These are arguments to `MatSetStencil()` and `MatSetBlockStencil()`

488:    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).
489:    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.

491:    For stencil access to vectors see `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`.

493:    Fortran usage is different, see `MatSetValuesStencil()` for details.

495:    Level: beginner

497: .seealso: `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`
498: S*/
499: typedef struct {
500:   PetscInt k, j, i, c;
501: } MatStencil;

503: PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
504: PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
505: PETSC_EXTERN PetscErrorCode MatSetStencil(Mat, PetscInt, const PetscInt[], const PetscInt[], PetscInt);

507: /*E
508:     MatAssemblyType - Indicates if the matrix is now to be used, for example in a solver, or if you plan
509:      to continue to add or insert values to it

511:     Level: beginner

513: .seealso: `MatAssemblyBegin()`, `MatAssemblyEnd()`
514: E*/
515: typedef enum {
516:   MAT_FLUSH_ASSEMBLY = 1,
517:   MAT_FINAL_ASSEMBLY = 0
518: } MatAssemblyType;
519: PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat, MatAssemblyType);
520: PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat, MatAssemblyType);
521: PETSC_EXTERN PetscErrorCode MatAssembled(Mat, PetscBool *);

523: /*E
524:     MatOption - Options that may be set for a matrix and its behavior or storage

526:     Level: beginner

528:    Developer Notes:
529:    Entries that are negative need not be called collectively by all processes.

531:    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h

533:    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]

535: .seealso: `MatSetOption()`
536: E*/
537: typedef enum {
538:   MAT_OPTION_MIN                  = -3,
539:   MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
540:   MAT_ROW_ORIENTED                = -1,
541:   MAT_SYMMETRIC                   = 1,
542:   MAT_STRUCTURALLY_SYMMETRIC      = 2,
543:   MAT_FORCE_DIAGONAL_ENTRIES      = 3,
544:   MAT_IGNORE_OFF_PROC_ENTRIES     = 4,
545:   MAT_USE_HASH_TABLE              = 5,
546:   MAT_KEEP_NONZERO_PATTERN        = 6,
547:   MAT_IGNORE_ZERO_ENTRIES         = 7,
548:   MAT_USE_INODES                  = 8,
549:   MAT_HERMITIAN                   = 9,
550:   MAT_SYMMETRY_ETERNAL            = 10,
551:   MAT_NEW_NONZERO_LOCATION_ERR    = 11,
552:   MAT_IGNORE_LOWER_TRIANGULAR     = 12,
553:   MAT_ERROR_LOWER_TRIANGULAR      = 13,
554:   MAT_GETROW_UPPERTRIANGULAR      = 14,
555:   MAT_SPD                         = 15,
556:   MAT_NO_OFF_PROC_ZERO_ROWS       = 16,
557:   MAT_NO_OFF_PROC_ENTRIES         = 17,
558:   MAT_NEW_NONZERO_LOCATIONS       = 18,
559:   MAT_NEW_NONZERO_ALLOCATION_ERR  = 19,
560:   MAT_SUBSET_OFF_PROC_ENTRIES     = 20,
561:   MAT_SUBMAT_SINGLEIS             = 21,
562:   MAT_STRUCTURE_ONLY              = 22,
563:   MAT_SORTED_FULL                 = 23,
564:   MAT_FORM_EXPLICIT_TRANSPOSE     = 24,
565:   MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
566:   MAT_SPD_ETERNAL                 = 26,
567:   MAT_OPTION_MAX                  = 27
568: } MatOption;

570: PETSC_EXTERN const char *const *MatOptions;
571: PETSC_EXTERN PetscErrorCode     MatSetOption(Mat, MatOption, PetscBool);
572: PETSC_EXTERN PetscErrorCode     MatGetOption(Mat, MatOption, PetscBool *);
573: PETSC_EXTERN PetscErrorCode     MatPropagateSymmetryOptions(Mat, Mat);
574: PETSC_EXTERN PetscErrorCode     MatGetType(Mat, MatType *);

576: PETSC_EXTERN PetscErrorCode    MatGetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
577: PETSC_EXTERN PetscErrorCode    MatGetRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
578: PETSC_EXTERN PetscErrorCode    MatRestoreRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
579: PETSC_EXTERN PetscErrorCode    MatGetRowUpperTriangular(Mat);
580: PETSC_EXTERN PetscErrorCode    MatRestoreRowUpperTriangular(Mat);
581: PETSC_EXTERN PetscErrorCode    MatGetColumnVector(Mat, Vec, PetscInt);
582: PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArray(Mat, PetscScalar *[]);
583: PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayRead(Mat, const PetscScalar *[]);
584: PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayWrite(Mat, PetscScalar *[]);
585: PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArray(Mat, PetscScalar *[]);
586: PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayRead(Mat, const PetscScalar *[]);
587: PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayWrite(Mat, PetscScalar *[]);
588: PETSC_EXTERN PetscErrorCode    MatSeqAIJGetMaxRowNonzeros(Mat, PetscInt *);
589: PETSC_EXTERN PetscErrorCode    MatSeqAIJSetValuesLocalFast(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
590: PETSC_EXTERN PetscErrorCode    MatSeqAIJSetType(Mat, MatType);
591: PETSC_EXTERN PetscErrorCode    MatSeqAIJKron(Mat, Mat, MatReuse, Mat *);
592: PETSC_EXTERN PetscErrorCode    MatSeqAIJRegister(const char[], PetscErrorCode (*)(Mat, MatType, MatReuse, Mat *));
593: PETSC_EXTERN PetscFunctionList MatSeqAIJList;
594: PETSC_EXTERN PetscErrorCode    MatSeqBAIJGetArray(Mat, PetscScalar *[]);
595: PETSC_EXTERN PetscErrorCode    MatSeqBAIJRestoreArray(Mat, PetscScalar *[]);
596: PETSC_EXTERN PetscErrorCode    MatSeqSBAIJGetArray(Mat, PetscScalar *[]);
597: PETSC_EXTERN PetscErrorCode    MatSeqSBAIJRestoreArray(Mat, PetscScalar *[]);
598: PETSC_EXTERN PetscErrorCode    MatDenseGetArray(Mat, PetscScalar *[]);
599: PETSC_EXTERN PetscErrorCode    MatDenseRestoreArray(Mat, PetscScalar *[]);
600: PETSC_EXTERN PetscErrorCode    MatDensePlaceArray(Mat, const PetscScalar[]);
601: PETSC_EXTERN PetscErrorCode    MatDenseReplaceArray(Mat, const PetscScalar[]);
602: PETSC_EXTERN PetscErrorCode    MatDenseResetArray(Mat);
603: PETSC_EXTERN PetscErrorCode    MatDenseGetArrayRead(Mat, const PetscScalar *[]);
604: PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayRead(Mat, const PetscScalar *[]);
605: PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWrite(Mat, PetscScalar *[]);
606: PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWrite(Mat, PetscScalar *[]);
607: PETSC_EXTERN PetscErrorCode    MatGetBlockSize(Mat, PetscInt *);
608: PETSC_EXTERN PetscErrorCode    MatSetBlockSize(Mat, PetscInt);
609: PETSC_EXTERN PetscErrorCode    MatGetBlockSizes(Mat, PetscInt *, PetscInt *);
610: PETSC_EXTERN PetscErrorCode    MatSetBlockSizes(Mat, PetscInt, PetscInt);
611: PETSC_EXTERN PetscErrorCode    MatSetBlockSizesFromMats(Mat, Mat, Mat);
612: PETSC_EXTERN PetscErrorCode    MatSetVariableBlockSizes(Mat, PetscInt, PetscInt *);
613: PETSC_EXTERN PetscErrorCode    MatGetVariableBlockSizes(Mat, PetscInt *, const PetscInt **);

615: PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat, PetscInt, PetscScalar *[]);
616: PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat, PetscScalar *[]);
617: PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat, PetscInt, Vec *);
618: PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat, PetscInt, Vec *);
619: PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat, PetscInt, Vec *);
620: PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat, PetscInt, Vec *);
621: PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat, PetscInt, Vec *);
622: PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat, PetscInt, Vec *);
623: PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
624: PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat, Mat *);

626: PETSC_EXTERN PetscErrorCode MatMult(Mat, Vec, Vec);
627: PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat, Vec, Vec);
628: PETSC_EXTERN PetscErrorCode MatMultAdd(Mat, Vec, Vec, Vec);
629: PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat, Vec, Vec);
630: PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat, Vec, Vec);
631: PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat, Mat, PetscReal, PetscBool *);
632: PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat, Mat, PetscReal, PetscBool *);
633: PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat, Vec, Vec, Vec);
634: PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat, Vec, Vec, Vec);
635: PETSC_EXTERN PetscErrorCode MatMatSolve(Mat, Mat, Mat);
636: PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat, Mat, Mat);
637: PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat, Mat, Mat);
638: PETSC_EXTERN PetscErrorCode MatResidual(Mat, Vec, Vec, Vec);

640: /*E
641:     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
642:   its numerical values copied over or just its nonzero structure.

644:     Level: beginner

646:    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h

648: $   `MAT_DO_NOT_COPY_VALUES`    - Create a matrix using the same nonzero pattern as the original matrix,
649: $                               with zeros for the numerical values.
650: $   `MAT_COPY_VALUES`           - Create a matrix with the same nonzero pattern as the original matrix
651: $                               and with the same numerical values.
652: $   `MAT_SHARE_NONZERO_PATTERN` - Create a matrix that shares the nonzero structure with the previous matrix
653: $                               and does not copy it, using zeros for the numerical values. The parent and
654: $                               child matrices will share their index (i and j) arrays, and you cannot
655: $                               insert new nonzero entries into either matrix.

657:   Note:
658:   Many matrix types (including `MATSEQAIJ`) do not support the `MAT_SHARE_NONZERO_PATTERN` optimization; in
659:   this case the behavior is as if `MAT_DO_NOT_COPY_VALUES` has been specified.

661: .seealso: `MatDuplicate()`
662: E*/
663: typedef enum {
664:   MAT_DO_NOT_COPY_VALUES,
665:   MAT_COPY_VALUES,
666:   MAT_SHARE_NONZERO_PATTERN
667: } MatDuplicateOption;

669: PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
670: PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);

672: PETSC_EXTERN PetscErrorCode MatCopy(Mat, Mat, MatStructure);
673: PETSC_EXTERN PetscErrorCode MatView(Mat, PetscViewer);
674: PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat, PetscReal, PetscBool *);
675: PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat, PetscBool *);
676: PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat, PetscReal, PetscBool *);
677: PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat, PetscBool *, PetscBool *);
678: PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat, PetscBool *, PetscBool *);
679: PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat, PetscBool *, PetscBool *);
680: PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat, PetscBool *, PetscBool *);
681: PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat, PetscBool *, PetscInt *);
682: PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);

684: PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
685: PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
686: PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
687: PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);

689: /*S
690:      MatInfo - Context of matrix information, used with `MatGetInfo()`

692:    In Fortran this is simply a double precision array of dimension `MAT_INFO_SIZE`

694:    Level: intermediate

696: .seealso: `MatGetInfo()`, `MatInfoType`
697: S*/
698: typedef struct {
699:   PetscLogDouble block_size;                          /* block size */
700:   PetscLogDouble nz_allocated, nz_used, nz_unneeded;  /* number of nonzeros */
701:   PetscLogDouble memory;                              /* memory allocated */
702:   PetscLogDouble assemblies;                          /* number of matrix assemblies called */
703:   PetscLogDouble mallocs;                             /* number of mallocs during MatSetValues() */
704:   PetscLogDouble fill_ratio_given, fill_ratio_needed; /* fill ratio for LU/ILU */
705:   PetscLogDouble factor_mallocs;                      /* number of mallocs during factorization */
706: } MatInfo;

708: /*E
709:     MatInfoType - Indicates if you want information about the local part of the matrix,
710:      the entire parallel matrix or the maximum over all the local parts.

712:     Level: beginner

714:    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h

716: .seealso: `MatGetInfo()`, `MatInfo`
717: E*/
718: typedef enum {
719:   MAT_LOCAL      = 1,
720:   MAT_GLOBAL_MAX = 2,
721:   MAT_GLOBAL_SUM = 3
722: } MatInfoType;
723: PETSC_EXTERN PetscErrorCode MatGetInfo(Mat, MatInfoType, MatInfo *);
724: PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat, Vec);
725: PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat, Vec, PetscInt[]);
726: PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat, Vec, PetscInt[]);
727: PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat, Vec, PetscInt[]);
728: PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat, Vec, PetscInt[]);
729: PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat, Vec);
730: PETSC_EXTERN PetscErrorCode MatTranspose(Mat, MatReuse, Mat *);
731: PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat, Mat *);
732: PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat, Mat);
733: PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat, MatReuse, Mat *);
734: PETSC_EXTERN PetscErrorCode MatPermute(Mat, IS, IS, Mat *);
735: PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat, Vec, Vec);
736: PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat, Vec, InsertMode);

738: PETSC_EXTERN PetscErrorCode MatEqual(Mat, Mat, PetscBool *);
739: PETSC_EXTERN PetscErrorCode MatMultEqual(Mat, Mat, PetscInt, PetscBool *);
740: PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat, Mat, PetscInt, PetscBool *);
741: PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
742: PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
743: PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
744: PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
745: PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
746: PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
747: PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
748: PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
749: PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
750: PETSC_EXTERN PetscErrorCode MatIsLinear(Mat, PetscInt, PetscBool *);

752: PETSC_EXTERN PetscErrorCode MatNorm(Mat, NormType, PetscReal *);
753: PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat, NormType, PetscReal *);
754: PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat, PetscScalar *);
755: PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat, PetscReal *);
756: PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat, PetscReal *);
757: PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat, PetscScalar *);
758: PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat, PetscReal *);
759: PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat, PetscReal *);
760: PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat, PetscInt, PetscReal *);
761: PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
762: PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
763: PETSC_EXTERN PetscErrorCode MatZeroRows(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
764: PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat, IS, PetscScalar, Vec, Vec);
765: PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
766: PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
767: PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
768: PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat, IS, PetscScalar, Vec, Vec);

770: PETSC_EXTERN PetscErrorCode MatGetSize(Mat, PetscInt *, PetscInt *);
771: PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat, PetscInt *, PetscInt *);
772: PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat, PetscInt *, PetscInt *);
773: PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat, const PetscInt **);
774: PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat, PetscInt *, PetscInt *);
775: PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat, const PetscInt **);
776: PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat, IS *, IS *);

778: PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
779: 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[])
780: {
781:   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
782: }
783: PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
784: 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[])
785: {
786:   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
787: }
788: PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
789: PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
790: PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
791: PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatrix() (since version 3.8)") static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat)
792: {
793:   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
794: }
795: PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
796: PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
797: PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
798: PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);

800: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm, Mat, PetscInt, PetscInt, MatReuse, Mat *);
801: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm, Mat, PetscInt, PetscInt, Mat *);
802: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat, Mat);
803: PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat, MatReuse, Mat *);
804: PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat, Mat *);
805: PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
806: PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat, MatReuse, IS *, Mat *);
807: PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat, PetscCount *);
808: PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat, Mat, MatReuse, IS *, IS *, Mat *);
809: PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *, const PetscInt *[]);

811: PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
812: PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat, PetscInt n, IS is[], PetscInt ov);
813: PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);

815: PETSC_EXTERN PetscErrorCode MatMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);

817: PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
818: PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);

820: PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
821: PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);

823: PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
824: PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);

826: PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
827: PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);

829: PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
830: PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);

832: PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping, ISLocalToGlobalMapping);
833: PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
834: PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat, PetscLayout *, PetscLayout *);
835: PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat, PetscLayout, PetscLayout);
836: PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
837: PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
838: PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
839: PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
840: PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
841: PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
842: PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);

844: PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
845: PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);

847: PETSC_EXTERN PetscErrorCode MatInterpolate(Mat, Vec, Vec);
848: PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat, Vec, Vec, Vec);
849: PETSC_EXTERN PetscErrorCode MatRestrict(Mat, Vec, Vec);
850: PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat, Mat, Mat *);
851: PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat, Mat, Mat, Mat *);
852: PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat, Mat, Mat *);
853: PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat, Vec *, Vec *);
854: PETSC_DEPRECATED_FUNCTION("Use MatCreateVecs() (since version 3.6)") static inline PetscErrorCode MatGetVecs(Mat mat, Vec *x, Vec *y)
855: {
856:   return MatCreateVecs(mat, x, y);
857: }
858: PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat, PetscInt, MPI_Comm, MatReuse, Mat *);
859: PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat, MPI_Comm, MatReuse, Mat *);
860: PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat, IS *);
861: PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat, IS *);
862: PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm, Mat, PetscInt, MatReuse, Mat *);

864: /*MC
865:    MatSetValue - Set a single entry into a matrix.

867:    Not collective

869:    Synopsis:
870: #include <petscmat.h>
871:      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)

873:    Input Parameters:
874: +  m - the matrix
875: .  row - the row location of the entry
876: .  col - the column location of the entry
877: .  value - the value to insert
878: -  mode - either `INSERT_VALUES` or `ADD_VALUES`

880:    Notes:
881:    For efficiency one should use `MatSetValues()` and set several values simultaneously.

883:    Level: beginner

885: .seealso: `MatGetValue()`, `MatSetValues()`, `MatSetValueLocal()`, `MatSetValuesLocal()`
886: M*/
887: static inline PetscErrorCode MatSetValue(Mat v, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
888: {
889:   return MatSetValues(v, 1, &i, 1, &j, &va, mode);
890: }

892: /*@C
893:    MatGetValue - Gets a single value from a matrix

895:    Not Collective; can only return a value owned by the given process

897:    Input Parameters:
898: +  mat - the matrix
899: .  row - the row location of the entry
900: -  col - the column location of the entry

902:    Output Parameter:
903: .  va - the value

905:    Notes:
906:    For efficiency one should use `MatGetValues()` and get several values simultaneously.

908:    See notes for `MatGetValues()`.

910:    Level: advanced

912: .seealso: `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
913: @*/
914: static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
915: {
916:   return MatGetValues(mat, 1, &row, 1, &col, va);
917: }

919: /*MC
920:    MatSetValueLocal - Inserts or adds a single value into a matrix,
921:    using a local numbering of the nodes.

923:    Not Collective

925:    Input Parameters:
926: +  m - the matrix
927: .  row - the row location of the entry
928: .  col - the column location of the entry
929: .  value - the value to insert
930: -  mode - either `INSERT_VALUES` or `ADD_VALUES`

932:    Notes:
933:    For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.

935:    See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.

937:    Level: intermediate

939: .seealso: `MatSetValue()`, `MatSetValuesLocal()`
940: M*/
941: static inline PetscErrorCode MatSetValueLocal(Mat v, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
942: {
943:   return MatSetValuesLocal(v, 1, &i, 1, &j, &va, mode);
944: }

946: /*MC
947:    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
948:        row in a matrix providing the data that one can use to correctly preallocate the matrix.

950:    Synopsis:
951: #include <petscmat.h>
952:    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)

954:    Collective

956:    Input Parameters:
957: +  comm - the communicator that will share the eventually allocated matrix
958: .  nrows - the number of LOCAL rows in the matrix
959: -  ncols - the number of LOCAL columns in the matrix

961:    Output Parameters:
962: +  dnz - the array that will be passed to the matrix preallocation routines
963: -  onz - the other array passed to the matrix preallocation routines

965:    Level: intermediate

967:    Notes:
968:     This is a macro that handles its own error checking, it does not return an error code.

970:     See Users-Manual: ch_performance for more details.

972:     Do not malloc or free dnz and onz, that is handled internally by these routines

974:    Developer Notes:
975:     This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().

977: .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
978:           `MatPreallocateSymmetricSetLocalBlock()`
979: M*/
980: #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
981:   do { \
982:     PetscInt __nrows = (nrows), __ncols = (ncols), __rstart, __start, __end = 0; \
983:     PetscCalloc2(__nrows, &(dnz), __nrows, &(onz)); \
984:     MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm); \
985:     __start = __end - __ncols; \
986:     (void)__start; \
987:     MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm); \
988:   __rstart -= __nrows

990: #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateBegin() (since version 3.18)\"") MatPreallocateBegin(__VA_ARGS__)

992: /*MC
993:    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
994:        inserted using a local number of the rows and columns

996:    Synopsis:
997: #include <petscmat.h>
998:    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1000:    Not Collective

1002:    Input Parameters:
1003: +  map - the row mapping from local numbering to global numbering
1004: .  nrows - the number of rows indicated
1005: .  rows - the indices of the rows
1006: .  cmap - the column mapping from local to global numbering
1007: .  ncols - the number of columns in the matrix
1008: .  cols - the columns indicated
1009: .  dnz - the array that will be passed to the matrix preallocation routines
1010: -  onz - the other array passed to the matrix preallocation routines

1012:    Level: intermediate

1014:    Notes:
1015:     See Users-Manual: ch_performance for more details.

1017:    Do not malloc or free dnz and onz, that is handled internally by these routines

1019: .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1020:           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
1021: M*/
1022: #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1023:   PetscMacroReturnStandard(ISLocalToGlobalMappingApply(rmap, nrows, rows, rows)); PetscCall(ISLocalToGlobalMappingApply(cmap, ncols, cols, cols)); for (PetscInt __l = 0; __l < nrows; __l++) PetscCall(MatPreallocateSet((rows)[__l], ncols, cols, dnz, onz);)

1025: /*MC
1026:    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1027:        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols

1029:    Synopsis:
1030: #include <petscmat.h>
1031:    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1033:    Not Collective

1035:    Input Parameters:
1036: +  map - the row mapping from local numbering to global numbering
1037: .  nrows - the number of rows indicated
1038: .  rows - the indices of the rows (these values are mapped to the global values)
1039: .  cmap - the column mapping from local to global numbering
1040: .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1041: .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1042: .  dnz - the array that will be passed to the matrix preallocation routines
1043: -  onz - the other array passed to the matrix preallocation routines

1045:    Level: intermediate

1047:    Notes:
1048:     See Users-Manual: ch_performance for more details.

1050:    Do not malloc or free dnz and onz, that is handled internally by these routines

1052: .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1053:           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1054: M*/
1055: #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1056:   PetscMacroReturnStandard(ISLocalToGlobalMappingApply(rmap, nrows, rows, rows)); PetscCall(ISLocalToGlobalMappingApply(cmap, ncols, cols, cols)); PetscCall(PetscSortRemoveDupsInt(&ncols, cols)); for (PetscInt __l = 0; __l < nrows; __l++) PetscCall(MatPreallocateSet((rows)[__l], ncols, cols, dnz, onz);)

1058: /*MC
1059:    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1060:        inserted using a local number of the rows and columns

1062:    Synopsis:
1063: #include <petscmat.h>
1064:    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1066:    Not Collective

1068:    Input Parameters:
1069: +  map - the row mapping from local numbering to global numbering
1070: .  nrows - the number of rows indicated
1071: .  rows - the indices of the rows
1072: .  cmap - the column mapping from local to global numbering
1073: .  ncols - the number of columns in the matrix
1074: .  cols - the columns indicated
1075: .  dnz - the array that will be passed to the matrix preallocation routines
1076: -  onz - the other array passed to the matrix preallocation routines

1078:    Level: intermediate

1080:    Notes:
1081:     See Users-Manual: ch_performance for more details.

1083:    Do not malloc or free dnz and onz, that is handled internally by these routines

1085: .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1086:           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1087: M*/
1088: #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1089:   PetscMacroReturnStandard(ISLocalToGlobalMappingApplyBlock(rmap, nrows, rows, rows)); PetscCall(ISLocalToGlobalMappingApplyBlock(cmap, ncols, cols, cols)); for (PetscInt __l = 0; __l < nrows; __l++) PetscCall(MatPreallocateSet((rows)[__l], ncols, cols, dnz, onz);)

1091: /*MC
1092:    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1093:        inserted using a local number of the rows and columns

1095:    Synopsis:
1096: #include <petscmat.h>
1097:    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1099:    Not Collective

1101:    Input Parameters:
1102: +  map - the mapping between local numbering and global numbering
1103: .  nrows - the number of rows indicated
1104: .  rows - the indices of the rows
1105: .  ncols - the number of columns in the matrix
1106: .  cols - the columns indicated
1107: .  dnz - the array that will be passed to the matrix preallocation routines
1108: -  onz - the other array passed to the matrix preallocation routines

1110:    Level: intermediate

1112:    Notes:
1113:     See Users-Manual: ch_performance for more details.

1115:    Do not malloc or free dnz and onz that is handled internally by these routines

1117: .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`
1118:           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1119: M*/
1120: #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1121:   PetscMacroReturnStandard(ISLocalToGlobalMappingApplyBlock(map, nrows, rows, rows)); PetscCall(ISLocalToGlobalMappingApplyBlock(map, ncols, cols, cols)); for (PetscInt __l = 0; __l < nrows; __l++) PetscCall(MatPreallocateSymmetricSetBlock((rows)[__l], ncols, cols, dnz, onz);)

1123: /*MC
1124:    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1125:        inserted using a local number of the rows and columns

1127:    Synopsis:
1128: #include <petscmat.h>
1129:    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1131:    Not Collective

1133:    Input Parameters:
1134: +  row - the row
1135: .  ncols - the number of columns in the matrix
1136: -  cols - the columns indicated

1138:    Output Parameters:
1139: +  dnz - the array that will be passed to the matrix preallocation routines
1140: -  onz - the other array passed to the matrix preallocation routines

1142:    Level: intermediate

1144:    Notes:
1145:     See Users-Manual: ch_performance for more details.

1147:    Do not malloc or free dnz and onz that is handled internally by these routines

1149:    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().

1151: .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1152:           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1153: M*/
1154: #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1156:     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1157:     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1158:   })

1160: /*MC
1161:    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1162:        inserted using a local number of the rows and columns

1164:    Synopsis:
1165: #include <petscmat.h>
1166:    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1168:    Not Collective

1170:    Input Parameters:
1171: +  nrows - the number of rows indicated
1172: .  rows - the indices of the rows
1173: .  ncols - the number of columns in the matrix
1174: .  cols - the columns indicated
1175: .  dnz - the array that will be passed to the matrix preallocation routines
1176: -  onz - the other array passed to the matrix preallocation routines

1178:    Level: intermediate

1180:    Notes:
1181:     See Users-Manual: ch_performance for more details.

1183:    Do not malloc or free dnz and onz that is handled internally by these routines

1185:    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().

1187: .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1188:           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1189: M*/
1190: #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1191:   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
1192:     if (cols[__i] >= __end) onz[row - __rstart]++; \
1193:     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1194:   })

1196: /*MC
1197:    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists

1199:    Synopsis:
1200: #include <petscmat.h>
1201:    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)

1203:    Not Collective

1205:    Input Parameters:
1206: +  A - matrix
1207: .  row - row where values exist (must be local to this process)
1208: .  ncols - number of columns
1209: .  cols - columns with nonzeros
1210: .  dnz - the array that will be passed to the matrix preallocation routines
1211: -  onz - the other array passed to the matrix preallocation routines

1213:    Level: intermediate

1215:    Notes:
1216:     See Users-Manual: ch_performance for more details.

1218:    Do not malloc or free dnz and onz that is handled internally by these routines

1220:    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.

1222: .seealso: `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1223:           `MatPreallocateSymmetricSetLocalBlock()`
1224: M*/
1225: #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))

1227: /*MC
1228:    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1229:        row in a matrix providing the data that one can use to correctly preallocate the matrix.

1231:    Synopsis:
1232: #include <petscmat.h>
1233:    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)

1235:    Collective

1237:    Input Parameters:
1238: +  dnz - the array that was be passed to the matrix preallocation routines
1239: -  onz - the other array passed to the matrix preallocation routines

1241:    Level: intermediate

1243:    Notes:
1244:     This is a macro that handles its own error checking, it does not return an error code.

1246:     See Users-Manual: ch_performance for more details.

1248:     Do not malloc or free dnz and onz, that is handled internally by these routines

1250:    Developer Notes:
1251:     This is a MACRO not a function because it closes the { started in MatPreallocateBegin().

1253: .seealso: `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1254:           `MatPreallocateSymmetricSetLocalBlock()`
1255: M*/
1256: #define MatPreallocateEnd(dnz, onz) \
1257:   PetscFree2(dnz, onz); \
1258:   } \
1259:   while (0)

1261: #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateEnd() (since version 3.18)\"") MatPreallocateEnd(__VA_ARGS__)

1263: /* Routines unique to particular data structures */
1264: PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, void *);

1266: PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1267: PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);

1269: PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1270: PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1271: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1272: PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1273: PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1274: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscInt, PetscBool);

1276: #define MAT_SKIP_ALLOCATION -4

1278: PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1279: PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1280: PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1281: PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);

1283: PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1284: PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1285: PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1286: PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1287: PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1288: PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1289: PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1290: PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1291: PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1292: PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1293: PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1294: PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1295: PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1296: PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1297: PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);

1299: PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1300: PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1301: PETSC_DEPRECATED_FUNCTION("Use MatDenseSetLDA() (since version 3.14)") static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
1302: {
1303:   return MatDenseSetLDA(A, lda);
1304: }
1305: PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);

1307: PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);

1309: PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1310: PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);

1312: PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1313: PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1314: /*
1315:   These routines are not usually accessed directly, rather solving is
1316:   done through the KSP and PC interfaces.
1317: */

1319: /*J
1320:     MatOrderingType - String with the name of a PETSc matrix ordering

1322:    Level: beginner

1324:    Notes:
1325:       If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and utilizes one built into the factorization package

1327: .seealso: `MatGetOrdering()`
1328: J*/
1329: typedef const char *MatOrderingType;
1330: #define MATORDERINGNATURAL       "natural"
1331: #define MATORDERINGND            "nd"
1332: #define MATORDERING1WD           "1wd"
1333: #define MATORDERINGRCM           "rcm"
1334: #define MATORDERINGQMD           "qmd"
1335: #define MATORDERINGROWLENGTH     "rowlength"
1336: #define MATORDERINGWBM           "wbm"
1337: #define MATORDERINGSPECTRAL      "spectral"
1338: #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1339: #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1340: #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 */
1341: #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */

1343: PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1344: PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1345: PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1346: PETSC_EXTERN PetscFunctionList MatOrderingList;

1348: #include "petscmatcoarsen.h"

1350: PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1351: PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);

1353: PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);

1355: /*S
1356:     MatFactorShiftType - Numeric Shift for factorizations

1358:    Level: beginner

1360: .seealso: `MatGetFactor()`
1361: S*/
1362: typedef enum {
1363:   MAT_SHIFT_NONE,
1364:   MAT_SHIFT_NONZERO,
1365:   MAT_SHIFT_POSITIVE_DEFINITE,
1366:   MAT_SHIFT_INBLOCKS
1367: } MatFactorShiftType;
1368: PETSC_EXTERN const char *const MatFactorShiftTypes[];
1369: PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];

1371: /*S
1372:     MatFactorError - indicates what type of error was generated in a matrix factorization

1374:     Level: beginner

1376:     Developer Note:
1377:     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h

1379: .seealso: `MatGetFactor()`
1380: S*/
1381: typedef enum {
1382:   MAT_FACTOR_NOERROR,
1383:   MAT_FACTOR_STRUCT_ZEROPIVOT,
1384:   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1385:   MAT_FACTOR_OUTMEMORY,
1386:   MAT_FACTOR_OTHER
1387: } MatFactorError;

1389: PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1390: PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1391: PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);

1393: /*S
1394:    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization

1396:    In Fortran these are simply double precision arrays of size `MAT_FACTORINFO_SIZE`, that is use
1397: $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)

1399:    Notes:
1400:     These are not usually directly used by users, instead use `PC` type of `PCLU`, `PCILU`, `PCCHOLESKY` or `PCICC`.

1402:       You can use `MatFactorInfoInitialize()` to set default values.

1404:    Level: developer

1406: .seealso: `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`, `MatICCFactorSymbolic()`, `MatICCFactor()`,
1407:           `MatFactorInfoInitialize()`

1409: S*/
1410: typedef struct {
1411:   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1412:   PetscReal usedt;
1413:   PetscReal dt;            /* drop tolerance */
1414:   PetscReal dtcol;         /* tolerance for pivoting */
1415:   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1416:   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1417:   PetscReal levels;        /* ICC/ILU(levels) */
1418:   PetscReal pivotinblocks; /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1419:                                    factorization may be faster if do not pivot */
1420:   PetscReal zeropivot;     /* pivot is called zero if less than this */
1421:   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1422:   PetscReal shiftamount;   /* how large the shift is */
1423: } MatFactorInfo;

1425: PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1426: PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1427: PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1428: PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1429: PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1430: PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1431: PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1432: PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1433: PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1434: PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1435: PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1436: PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1437: PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1438: PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1439: PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1440: PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1441: PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1442: PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1443: PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1444: PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1445: PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1446: PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1447: PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);

1449: typedef enum {
1450:   MAT_FACTOR_SCHUR_UNFACTORED,
1451:   MAT_FACTOR_SCHUR_FACTORED,
1452:   MAT_FACTOR_SCHUR_INVERTED
1453: } MatFactorSchurStatus;
1454: PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1455: PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1456: PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1457: PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1458: PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1459: PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1460: PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1461: PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);

1463: PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1464: /*E
1465:     MatSORType - What type of (S)SOR to perform

1467:     Level: beginner

1469:    May be bitwise ORd together

1471:    Developer Notes:
1472:    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h

1474:   `MatSORType` may be bitwise ORd together, so do not change the numerical values

1476: .seealso: `MatSOR()`
1477: E*/
1478: typedef enum {
1479:   SOR_FORWARD_SWEEP         = 1,
1480:   SOR_BACKWARD_SWEEP        = 2,
1481:   SOR_SYMMETRIC_SWEEP       = 3,
1482:   SOR_LOCAL_FORWARD_SWEEP   = 4,
1483:   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1484:   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1485:   SOR_ZERO_INITIAL_GUESS    = 16,
1486:   SOR_EISENSTAT             = 32,
1487:   SOR_APPLY_UPPER           = 64,
1488:   SOR_APPLY_LOWER           = 128
1489: } MatSORType;
1490: PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);

1492: /*S
1493:      MatColoring - Object for managing the coloring of matrices.

1495:    Level: beginner

1497:     Notes:
1498:        Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1499:        matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).

1501:        Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1502:        same object can also be used to efficiently convert data created by Automatic Differentation tools to PETSc sparse matrices.

1504: .seealso: `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`, `MatOrdering`, `MatPartitioning`, `MatColoringType`
1505: S*/
1506: typedef struct _p_MatColoring *MatColoring;

1508: /*J
1509:     MatColoringType - String with the name of a PETSc matrix coloring

1511:    Level: beginner

1513: .seealso: `MatColoringSetType()`, `MatColoring`
1514: J*/
1515: typedef const char *MatColoringType;
1516: #define MATCOLORINGJP      "jp"
1517: #define MATCOLORINGPOWER   "power"
1518: #define MATCOLORINGNATURAL "natural"
1519: #define MATCOLORINGSL      "sl"
1520: #define MATCOLORINGLF      "lf"
1521: #define MATCOLORINGID      "id"
1522: #define MATCOLORINGGREEDY  "greedy"

1524: /*E
1525:    MatColoringWeightType - Type of weight scheme

1527:     Not Collective

1529: +   `MAT_COLORING_RANDOM`  - Random weights
1530: .   `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1531: -   `MAT_COLORING_LF`      - Last-first weighting.

1533:     Level: intermediate

1535:    Developer Note:
1536:    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h

1538: .seealso: `MatColoring`, `MatColoringCreate()`
1539: E*/
1540: typedef enum {
1541:   MAT_COLORING_WEIGHT_RANDOM,
1542:   MAT_COLORING_WEIGHT_LEXICAL,
1543:   MAT_COLORING_WEIGHT_LF,
1544:   MAT_COLORING_WEIGHT_SL
1545: } MatColoringWeightType;

1547: PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1548: PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1549: PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1550: PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1551: PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1552: PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1553: PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1554: PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1555: PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1556: PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1557: PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1558: PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1559: PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1560: PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1561: PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1562: PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1563: PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1564: PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
1565: {
1566:   return MatColoringTest(matcoloring, iscoloring);
1567: }
1568: PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);

1570: /*S
1571:      MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring

1573:    Level: beginner

1575:    Notes:
1576:       This object is creating utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`

1578: .seealso: `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1579: S*/
1580: typedef struct _p_MatFDColoring *MatFDColoring;

1582: PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1583: PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1584: PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1585: PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, PetscErrorCode (*)(void), void *);
1586: PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, PetscErrorCode (**)(void), void **);
1587: PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1588: PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1589: PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1590: PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1591: PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1592: PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1593: PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1594: PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);

1596: /*S
1597:      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring

1599:    Level: beginner

1601: .seealso: `MatTransposeColoringCreate()`
1602: S*/
1603: typedef struct _p_MatTransposeColoring *MatTransposeColoring;

1605: PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1606: PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1607: PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1608: PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);

1610: /*S
1611:      MatPartitioning - Object for managing the partitioning of a matrix or graph

1613:    Level: beginner

1615:    Note:
1616:      There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1617:      via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)

1619:    Developers Note:
1620:      It is an extra maintenance and documentation cost to have two objects with the same functionality.

1622: .seealso: `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`
1623: S*/
1624: typedef struct _p_MatPartitioning *MatPartitioning;

1626: /*J
1627:     MatPartitioningType - String with the name of a PETSc matrix partitioning

1629:    Level: beginner
1630: dm
1631: .seealso: `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`
1632: J*/
1633: typedef const char *MatPartitioningType;
1634: #define MATPARTITIONINGCURRENT  "current"
1635: #define MATPARTITIONINGAVERAGE  "average"
1636: #define MATPARTITIONINGSQUARE   "square"
1637: #define MATPARTITIONINGPARMETIS "parmetis"
1638: #define MATPARTITIONINGCHACO    "chaco"
1639: #define MATPARTITIONINGPARTY    "party"
1640: #define MATPARTITIONINGPTSCOTCH "ptscotch"
1641: #define MATPARTITIONINGHIERARCH "hierarch"

1643: PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1644: PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1645: PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1646: PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1647: PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1648: PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1649: PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1650: PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1651: PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1652: PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1653: PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1654: PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1655: PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1656: PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1657: PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1658: PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1659: PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1660: PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1661: PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);

1663: PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1664: PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1665: PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);

1667: typedef enum {
1668:   MP_CHACO_MULTILEVEL = 1,
1669:   MP_CHACO_SPECTRAL   = 2,
1670:   MP_CHACO_LINEAR     = 4,
1671:   MP_CHACO_RANDOM     = 5,
1672:   MP_CHACO_SCATTERED  = 6
1673: } MPChacoGlobalType;
1674: PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1675: typedef enum {
1676:   MP_CHACO_KERNIGHAN = 1,
1677:   MP_CHACO_NONE      = 2
1678: } MPChacoLocalType;
1679: PETSC_EXTERN const char *const MPChacoLocalTypes[];
1680: typedef enum {
1681:   MP_CHACO_LANCZOS = 0,
1682:   MP_CHACO_RQI     = 1
1683: } MPChacoEigenType;
1684: PETSC_EXTERN const char *const MPChacoEigenTypes[];

1686: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1687: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1688: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1689: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1690: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1691: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1692: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1693: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1694: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1695: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1696: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);

1698: #define MP_PARTY_OPT "opt"
1699: #define MP_PARTY_LIN "lin"
1700: #define MP_PARTY_SCA "sca"
1701: #define MP_PARTY_RAN "ran"
1702: #define MP_PARTY_GBF "gbf"
1703: #define MP_PARTY_GCF "gcf"
1704: #define MP_PARTY_BUB "bub"
1705: #define MP_PARTY_DEF "def"
1706: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1707: #define MP_PARTY_HELPFUL_SETS  "hs"
1708: #define MP_PARTY_KERNIGHAN_LIN "kl"
1709: #define MP_PARTY_NONE          "no"
1710: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1711: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1712: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1713: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);

1715: typedef enum {
1716:   MP_PTSCOTCH_DEFAULT,
1717:   MP_PTSCOTCH_QUALITY,
1718:   MP_PTSCOTCH_SPEED,
1719:   MP_PTSCOTCH_BALANCE,
1720:   MP_PTSCOTCH_SAFETY,
1721:   MP_PTSCOTCH_SCALABILITY
1722: } MPPTScotchStrategyType;
1723: PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];

1725: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1726: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1727: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1728: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);

1730: /*
1731:  * hierarchical partitioning
1732:  */
1733: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1734: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1735: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1736: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);

1738: PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);

1740: /*
1741:     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1742:     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1743: */
1744: typedef enum {
1745:   MATOP_SET_VALUES               = 0,
1746:   MATOP_GET_ROW                  = 1,
1747:   MATOP_RESTORE_ROW              = 2,
1748:   MATOP_MULT                     = 3,
1749:   MATOP_MULT_ADD                 = 4,
1750:   MATOP_MULT_TRANSPOSE           = 5,
1751:   MATOP_MULT_TRANSPOSE_ADD       = 6,
1752:   MATOP_SOLVE                    = 7,
1753:   MATOP_SOLVE_ADD                = 8,
1754:   MATOP_SOLVE_TRANSPOSE          = 9,
1755:   MATOP_SOLVE_TRANSPOSE_ADD      = 10,
1756:   MATOP_LUFACTOR                 = 11,
1757:   MATOP_CHOLESKYFACTOR           = 12,
1758:   MATOP_SOR                      = 13,
1759:   MATOP_TRANSPOSE                = 14,
1760:   MATOP_GETINFO                  = 15,
1761:   MATOP_EQUAL                    = 16,
1762:   MATOP_GET_DIAGONAL             = 17,
1763:   MATOP_DIAGONAL_SCALE           = 18,
1764:   MATOP_NORM                     = 19,
1765:   MATOP_ASSEMBLY_BEGIN           = 20,
1766:   MATOP_ASSEMBLY_END             = 21,
1767:   MATOP_SET_OPTION               = 22,
1768:   MATOP_ZERO_ENTRIES             = 23,
1769:   MATOP_ZERO_ROWS                = 24,
1770:   MATOP_LUFACTOR_SYMBOLIC        = 25,
1771:   MATOP_LUFACTOR_NUMERIC         = 26,
1772:   MATOP_CHOLESKY_FACTOR_SYMBOLIC = 27,
1773:   MATOP_CHOLESKY_FACTOR_NUMERIC  = 28,
1774:   MATOP_SETUP                    = 29,
1775:   MATOP_ILUFACTOR_SYMBOLIC       = 30,
1776:   MATOP_ICCFACTOR_SYMBOLIC       = 31,
1777:   MATOP_GET_DIAGONAL_BLOCK       = 32,
1778:   MATOP_SET_INF                  = 33,
1779:   MATOP_DUPLICATE                = 34,
1780:   MATOP_FORWARD_SOLVE            = 35,
1781:   MATOP_BACKWARD_SOLVE           = 36,
1782:   MATOP_ILUFACTOR                = 37,
1783:   MATOP_ICCFACTOR                = 38,
1784:   MATOP_AXPY                     = 39,
1785:   MATOP_CREATE_SUBMATRICES       = 40,
1786:   MATOP_INCREASE_OVERLAP         = 41,
1787:   MATOP_GET_VALUES               = 42,
1788:   MATOP_COPY                     = 43,
1789:   MATOP_GET_ROW_MAX              = 44,
1790:   MATOP_SCALE                    = 45,
1791:   MATOP_SHIFT                    = 46,
1792:   MATOP_DIAGONAL_SET             = 47,
1793:   MATOP_ZERO_ROWS_COLUMNS        = 48,
1794:   MATOP_SET_RANDOM               = 49,
1795:   MATOP_GET_ROW_IJ               = 50,
1796:   MATOP_RESTORE_ROW_IJ           = 51,
1797:   MATOP_GET_COLUMN_IJ            = 52,
1798:   MATOP_RESTORE_COLUMN_IJ        = 53,
1799:   MATOP_FDCOLORING_CREATE        = 54,
1800:   MATOP_COLORING_PATCH           = 55,
1801:   MATOP_SET_UNFACTORED           = 56,
1802:   MATOP_PERMUTE                  = 57,
1803:   MATOP_SET_VALUES_BLOCKED       = 58,
1804:   MATOP_CREATE_SUBMATRIX         = 59,
1805:   MATOP_DESTROY                  = 60,
1806:   MATOP_VIEW                     = 61,
1807:   MATOP_CONVERT_FROM             = 62,
1808:   /* MATOP_PLACEHOLDER_63=63 */
1809:   MATOP_MATMAT_MULT_SYMBOLIC    = 64,
1810:   MATOP_MATMAT_MULT_NUMERIC     = 65,
1811:   MATOP_SET_LOCAL_TO_GLOBAL_MAP = 66,
1812:   MATOP_SET_VALUES_LOCAL        = 67,
1813:   MATOP_ZERO_ROWS_LOCAL         = 68,
1814:   MATOP_GET_ROW_MAX_ABS         = 69,
1815:   MATOP_GET_ROW_MIN_ABS         = 70,
1816:   MATOP_CONVERT                 = 71,
1817:   MATOP_HAS_OPERATION           = 72,
1818:   /* MATOP_PLACEHOLDER_73=73, */
1819:   MATOP_SET_VALUES_ADIFOR = 74,
1820:   MATOP_FD_COLORING_APPLY = 75,
1821:   MATOP_SET_FROM_OPTIONS  = 76,
1822:   /* MATOP_PLACEHOLDER_77=77, */
1823:   /* MATOP_PLACEHOLDER_78=78, */
1824:   MATOP_FIND_ZERO_DIAGONALS       = 79,
1825:   MATOP_MULT_MULTIPLE             = 80,
1826:   MATOP_SOLVE_MULTIPLE            = 81,
1827:   MATOP_GET_INERTIA               = 82,
1828:   MATOP_LOAD                      = 83,
1829:   MATOP_IS_SYMMETRIC              = 84,
1830:   MATOP_IS_HERMITIAN              = 85,
1831:   MATOP_IS_STRUCTURALLY_SYMMETRIC = 86,
1832:   MATOP_SET_VALUES_BLOCKEDLOCAL   = 87,
1833:   MATOP_CREATE_VECS               = 88,
1834:   /* MATOP_PLACEHOLDER_89=89, */
1835:   MATOP_MAT_MULT_SYMBOLIC = 90,
1836:   MATOP_MAT_MULT_NUMERIC  = 91,
1837:   /* MATOP_PLACEHOLDER_92=92, */
1838:   MATOP_PTAP_SYMBOLIC = 93,
1839:   MATOP_PTAP_NUMERIC  = 94,
1840:   /* MATOP_PLACEHOLDER_95=95, */
1841:   MATOP_MAT_TRANSPOSE_MULT_SYMBO = 96,
1842:   MATOP_MAT_TRANSPOSE_MULT_NUMER = 97,
1843:   MATOP_BIND_TO_CPU              = 98,
1844:   MATOP_PRODUCTSETFROMOPTIONS    = 99,
1845:   MATOP_PRODUCTSYMBOLIC          = 100,
1846:   MATOP_PRODUCTNUMERIC           = 101,
1847:   MATOP_CONJUGATE                = 102,
1848:   MATOP_VIEW_NATIVE              = 103,
1849:   MATOP_SET_VALUES_ROW           = 104,
1850:   MATOP_REAL_PART                = 105,
1851:   MATOP_IMAGINARY_PART           = 106,
1852:   MATOP_GET_ROW_UPPER_TRIANGULAR = 107,
1853:   MATOP_RESTORE_ROW_UPPER_TRIANG = 108,
1854:   MATOP_MAT_SOLVE                = 109,
1855:   MATOP_MAT_SOLVE_TRANSPOSE      = 110,
1856:   MATOP_GET_ROW_MIN              = 111,
1857:   MATOP_GET_COLUMN_VECTOR        = 112,
1858:   MATOP_MISSING_DIAGONAL         = 113,
1859:   MATOP_GET_SEQ_NONZERO_STRUCTUR = 114,
1860:   MATOP_CREATE                   = 115,
1861:   MATOP_GET_GHOSTS               = 116,
1862:   MATOP_GET_LOCAL_SUB_MATRIX     = 117,
1863:   MATOP_RESTORE_LOCALSUB_MATRIX  = 118,
1864:   MATOP_MULT_DIAGONAL_BLOCK      = 119,
1865:   MATOP_HERMITIAN_TRANSPOSE      = 120,
1866:   MATOP_MULT_HERMITIAN_TRANSPOSE = 121,
1867:   MATOP_MULT_HERMITIAN_TRANS_ADD = 122,
1868:   MATOP_GET_MULTI_PROC_BLOCK     = 123,
1869:   MATOP_FIND_NONZERO_ROWS        = 124,
1870:   MATOP_GET_COLUMN_NORMS         = 125,
1871:   MATOP_INVERT_BLOCK_DIAGONAL    = 126,
1872:   MATOP_INVERT_VBLOCK_DIAGONAL   = 127,
1873:   MATOP_CREATE_SUB_MATRICES_MPI  = 128,
1874:   MATOP_SET_VALUES_BATCH         = 129,
1875:   /* MATOP_PLACEHOLDER_130=130, */
1876:   MATOP_TRANSPOSE_MAT_MULT_SYMBO = 131,
1877:   MATOP_TRANSPOSE_MAT_MULT_NUMER = 132,
1878:   MATOP_TRANSPOSE_COLORING_CREAT = 133,
1879:   MATOP_TRANS_COLORING_APPLY_SPT = 134,
1880:   MATOP_TRANS_COLORING_APPLY_DEN = 135,
1881:   /* MATOP_PLACEHOLDER_136=136, */
1882:   MATOP_RART_SYMBOLIC         = 137,
1883:   MATOP_RART_NUMERIC          = 138,
1884:   MATOP_SET_BLOCK_SIZES       = 139,
1885:   MATOP_AYPX                  = 140,
1886:   MATOP_RESIDUAL              = 141,
1887:   MATOP_FDCOLORING_SETUP      = 142,
1888:   MATOP_FIND_OFFBLOCK_ENTRIES = 143,
1889:   MATOP_MPICONCATENATESEQ     = 144,
1890:   MATOP_DESTROYSUBMATRICES    = 145,
1891:   MATOP_TRANSPOSE_SOLVE       = 146,
1892:   MATOP_GET_VALUES_LOCAL      = 147
1893: } MatOperation;
1894: PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, void (*)(void));
1895: PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, void (**)(void));
1896: PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
1897: PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
1898: PETSC_DEPRECATED_FUNCTION("Use MatProductClear() (since version 3.14)") static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
1899: {
1900:   return MatProductClear(A);
1901: }
1902: PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, void (*)(void));
1903: PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, void (**)(void));
1904: PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, void *);
1905: PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscErrorCode (*)(void *));
1906: PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
1907: PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
1908: PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
1909: PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1910: PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscErrorCode (*)(void *), MatType, MatType);
1911: PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);

1913: /*
1914:    Codes for matrices stored on disk. By default they are
1915:    stored in a universal format. By changing the format with
1916:    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1917:    be stored in a way natural for the matrix, for example dense matrices
1918:    would be stored as dense. Matrices stored this way may only be
1919:    read into matrices of the same type.
1920: */
1921: #define MATRIX_BINARY_FORMAT_DENSE -1

1923: PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);

1925: PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
1926: PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1927: PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
1928: PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
1929: PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
1930: PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
1931: PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
1932: PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
1933: PETSC_EXTERN                PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat, MatReuse, Mat *);

1935: /*S
1936:      MatNullSpace - Object that removes a null space from a vector, i.e.
1937:          orthogonalizes the vector to a subspace

1939:    Level: advanced

1941: .seealso: `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
1942: S*/
1943: typedef struct _p_MatNullSpace *MatNullSpace;

1945: PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
1946: PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, PetscErrorCode (*)(MatNullSpace, Vec, void *), void *);
1947: PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
1948: PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
1949: PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1950: PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1951: PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
1952: PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
1953: PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
1954: PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
1955: PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
1956: PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
1957: PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
1958: PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);

1960: PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
1961: PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
1962: PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);

1964: PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
1965: PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
1966: PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);

1968: PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
1969: PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);

1971: PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
1972: {
1973:   return MatComputeOperator(A, NULL, B);
1974: }
1975: PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
1976: {
1977:   return MatComputeOperatorTranspose(A, NULL, B);
1978: }

1980: PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
1981: PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
1982: PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
1983: PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
1984: PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
1985: PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
1986: PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
1987: PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
1988: PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
1989: PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
1990: PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
1991: PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
1992: PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
1993: PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);

1995: PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);

1997: PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
1998: PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
1999: PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, PetscErrorCode (*)(void *, Vec, Vec), void *);
2000: PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, PetscErrorCode (*)(void *, PetscInt, Vec, PetscScalar *));
2001: PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, PetscErrorCode (*)(void *, Vec));
2002: PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
2003: PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
2004: PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
2005: PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
2006: PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
2007: PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
2008: PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
2009: PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, PetscErrorCode (*)(void *, Vec, Vec, PetscScalar *), void *);

2011: /*S
2012:     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2013:               Jacobian vector products

2015:     Notes:
2016:     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure

2018:     MatMFFD*() methods actually take the Mat as their first argument. Not a `MatMFFD` data structure

2020:     Level: developer

2022: .seealso: `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`
2023: S*/
2024: typedef struct _p_MatMFFD *MatMFFD;

2026: /*J
2027:     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function

2029:    Level: beginner

2031: .seealso: `MatMFFDSetType()`, `MatMFFDRegister()`
2032: J*/
2033: typedef const char *MatMFFDType;
2034: #define MATMFFD_DS "ds"
2035: #define MATMFFD_WP "wp"

2037: PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2038: PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));

2040: PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2041: PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);

2043: PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);

2045: PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2046: PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);

2048: #ifdef PETSC_HAVE_H2OPUS
2049: PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatH2OpusKernel)(PetscInt, PetscReal[], PetscReal[], void *);
2050: PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernel, void *, PetscReal, PetscInt, PetscInt, Mat *);
2051: PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2052: PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2053: PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
2054: PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat, PetscReal);
2055: PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat, PetscBool);
2056: PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat, PetscBool *);
2057: PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat, IS *);
2058: PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2059: PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2060: #endif

2062: #ifdef PETSC_HAVE_HTOOL
2063: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatHtoolKernel)(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2064: PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernel, void *, Mat *);
2065: PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat, MatHtoolKernel, void *);
2066: PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat, IS *);
2067: PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat, IS *);
2068: PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat, PetscBool);
2069: /*E
2070:      MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`

2072:    Level: beginner

2074:     Values:
2075: +   `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2076: .   `MAT_HTOOL_COMPRESSOR_FULL_ACA` - full adaptive cross approximation
2077: -   `MAT_HTOOL_COMPRESSOR_SVD` - singular value decomposition

2079: .seealso: `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2080: E*/
2081: typedef enum {
2082:   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2083:   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2084:   MAT_HTOOL_COMPRESSOR_SVD
2085: } MatHtoolCompressorType;
2086: /*E
2087:      MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`

2089:    Level: beginner

2091:     Values:
2092: +   `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default) - axis computed via principle component analysis, split uniformly
2093: .   `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC` - axis computed via principle component analysis, split barycentrically
2094: .   `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR` - axis along the largest extent of the bounding box, split uniformly
2095: -   `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically

2097:     Notes: higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types

2099: .seealso: `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2100: E*/
2101: typedef enum {
2102:   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2103:   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2104:   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2105:   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2106: } MatHtoolClusteringType;
2107: #endif

2109: #ifdef PETSC_HAVE_MUMPS
2110: PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2111: PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2112: PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2113: PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);

2115: PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2116: PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2117: PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2118: PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2119: PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2120: PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2121: #endif

2123: #ifdef PETSC_HAVE_MKL_PARDISO
2124: PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2125: #endif

2127: #ifdef PETSC_HAVE_MKL_CPARDISO
2128: PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2129: #endif

2131: #ifdef PETSC_HAVE_SUPERLU
2132: PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2133: #endif

2135: #ifdef PETSC_HAVE_SUPERLU_DIST
2136: PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2137: #endif

2139: #ifdef PETSC_HAVE_STRUMPACK
2140: /*E
2141:     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `STRUMPACK`

2143:     Level: intermediate
2144: E*/
2145: typedef enum {
2146:   MAT_STRUMPACK_NATURAL  = 0,
2147:   MAT_STRUMPACK_METIS    = 1,
2148:   MAT_STRUMPACK_PARMETIS = 2,
2149:   MAT_STRUMPACK_SCOTCH   = 3,
2150:   MAT_STRUMPACK_PTSCOTCH = 4,
2151:   MAT_STRUMPACK_RCM      = 5
2152: } MatSTRUMPACKReordering;
2153: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2154: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2155: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat, PetscReal);
2156: PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat, PetscReal rtol)
2157: {
2158:   return MatSTRUMPACKSetHSSRelTol(mat, rtol);
2159: }
2160: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat, PetscReal);
2161: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat, PetscInt);
2162: PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat, PetscInt hssminsize)
2163: {
2164:   return MatSTRUMPACKSetHSSMinSepSize(mat, hssminsize);
2165: }
2166: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat, PetscInt);
2167: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat, PetscInt);
2168: #endif

2170: PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2171: PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2172: PETSC_DEPRECATED_FUNCTION("Use MatBindToCPU (since v3.13)") static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2173: {
2174:   return MatBindToCPU(A, flg);
2175: }
2176: PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2177: PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);

2179: typedef struct _n_SplitCSRMat *PetscSplitCSRDataStructure;
2180: PETSC_EXTERN PetscErrorCode    MatCUSPARSEGetDeviceMatWrite(Mat, PetscSplitCSRDataStructure *);

2182: #ifdef PETSC_HAVE_KOKKOS_KERNELS
2183: PETSC_EXTERN PetscErrorCode MatKokkosGetDeviceMatWrite(Mat, PetscSplitCSRDataStructure *);
2184: PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosSetDeviceMat(Mat, PetscSplitCSRDataStructure);
2185: PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosGetDeviceMat(Mat, PetscSplitCSRDataStructure *);
2186: #endif

2188: #ifdef PETSC_HAVE_CUDA
2189: /*E
2190:     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
2191:     matrices.

2193:     Not Collective

2195: +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2196: .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2197: -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).

2199:     Level: intermediate

2201:    Developer Note:
2202:    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h

2204: .seealso: `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2205: E*/

2207: typedef enum {
2208:   MAT_CUSPARSE_CSR,
2209:   MAT_CUSPARSE_ELL,
2210:   MAT_CUSPARSE_HYB
2211: } MatCUSPARSEStorageFormat;

2213: /* these will be strings associated with enumerated type defined above */
2214: PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];

2216: /*E
2217:     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
2218:     matrices whose operation should use a particular storage format.

2220:     Not Collective

2222: +   `MAT_CUSPARSE_MULT_DIAG` - sets the storage format for the diagonal matrix in the parallel MatMult
2223: .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the offdiagonal matrix in the parallel MatMult
2224: .   `MAT_CUSPARSE_MULT` - sets the storage format for the entire matrix in the serial (single GPU) MatMult
2225: -   `MAT_CUSPARSE_ALL` - sets the storage format for all CUSPARSE (GPU) matrices

2227:     Level: intermediate

2229: .seealso: `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2230: E*/
2231: typedef enum {
2232:   MAT_CUSPARSE_MULT_DIAG,
2233:   MAT_CUSPARSE_MULT_OFFDIAG,
2234:   MAT_CUSPARSE_MULT,
2235:   MAT_CUSPARSE_ALL
2236: } MatCUSPARSEFormatOperation;

2238: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2239: PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2240: PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2241: PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2242: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2243: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2244: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2245: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2246: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2247: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2248: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2249: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);

2251: PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2252: PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2253: PETSC_EXTERN PetscErrorCode MatMPIDenseCUDASetPreallocation(Mat, PetscScalar[]);
2254: PETSC_EXTERN PetscErrorCode MatSeqDenseCUDASetPreallocation(Mat, PetscScalar[]);
2255: PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2256: PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2257: PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2258: PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2259: PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2260: PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2261: PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2262: PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2263: PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);

2265: #endif

2267: #ifdef PETSC_HAVE_HIP
2268: /*E
2269:     MatHIPSPARSEStorageFormat - indicates the storage format for HIPSPARSE (GPU)
2270:     matrices.

2272:     Not Collective

2274: +   MAT_HIPSPARSE_CSR - Compressed Sparse Row
2275: .   MAT_HIPSPARSE_ELL - Ellpack
2276: -   MAT_HIPSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).

2278:     Level: intermediate

2280:    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h

2282: .seealso: `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
2283: E*/

2285: typedef enum {
2286:   MAT_HIPSPARSE_CSR,
2287:   MAT_HIPSPARSE_ELL,
2288:   MAT_HIPSPARSE_HYB
2289: } MatHIPSPARSEStorageFormat;

2291: /* these will be strings associated with enumerated type defined above */
2292: PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];

2294: /*E
2295:     MatHIPSPARSEFormatOperation - indicates the operation of HIPSPARSE (GPU)
2296:     matrices whose operation should use a particular storage format.

2298:     Not Collective

2300: +   MAT_HIPSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
2301: .   MAT_HIPSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
2302: .   MAT_HIPSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
2303: -   MAT_HIPSPARSE_ALL - sets the storage format for all HIPSPARSE (GPU) matrices

2305:     Level: intermediate

2307: .seealso: `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
2308: E*/
2309: typedef enum {
2310:   MAT_HIPSPARSE_MULT_DIAG,
2311:   MAT_HIPSPARSE_MULT_OFFDIAG,
2312:   MAT_HIPSPARSE_MULT,
2313:   MAT_HIPSPARSE_ALL
2314: } MatHIPSPARSEFormatOperation;

2316: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2317: PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2318: PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
2319: PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
2320: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2321: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2322: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
2323: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
2324: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
2325: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
2326: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
2327: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);

2329: PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2330: PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2331: PETSC_EXTERN PetscErrorCode MatMPIDenseHIPSetPreallocation(Mat, PetscScalar[]);
2332: PETSC_EXTERN PetscErrorCode MatSeqDenseHIPSetPreallocation(Mat, PetscScalar[]);
2333: PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
2334: PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
2335: PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
2336: PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
2337: PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
2338: PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
2339: PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
2340: PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
2341: PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);

2343: #endif

2345: #if defined(PETSC_HAVE_VIENNACL)
2346: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2347: PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2348: #endif

2350: #if defined(PETSC_HAVE_FFTW)
2351: PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2352: PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2353: PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2354: #endif

2356: #if defined(PETSC_HAVE_SCALAPACK)
2357: PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2358: PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2359: PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2360: #endif

2362: PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2363: PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2364: PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2365: PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2366: PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2367: PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2368: PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2369: PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2370: PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);

2372: PETSC_EXTERN PetscErrorCode MatChop(Mat, PetscReal);
2373: PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);

2375: PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);

2377: PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);

2379: PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2380: PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);

2382: PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);

2384: PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, Mat *);
2385: #endif