Actual source code: petscmat.h

  1: /*
  2:      Include file for the matrix component of PETSc
  3: */
  4: #pragma once

  6: #include <petscvec.h>

  8: /* SUBMANSEC = Mat */

 10: /*S
 11:    Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
 12:          an explicit sparse representation (such as matrix-free operators). Also used to hold representations of graphs
 13:          for graph operations such as coloring, `MatColoringCreate()`

 15:    Level: beginner

 17:    Note:
 18:    See [](doc_matrix), [](ch_matrices) and `MatType` for available matrix types

 20: .seealso: [](doc_matrix), [](ch_matrices), `MatCreate()`, `MatType`, `MatSetType()`, `MatDestroy()`
 21: S*/
 22: typedef struct _p_Mat *Mat;

 24: /*S
 25:    MatState - Snapshot of the state of a `Mat`

 27:    Level: developer

 29:    Note:
 30:    A `MatState` records the object id, state, and nonzero state of a `Mat`.

 32: .seealso: [](ch_matrices), `Mat`, `MatGetState()`, `MatStateCompare()`, `MatStateCompareUpdate()`, `MatStateInvalidate()`, `PetscObjectGetId()`
 33: S*/
 34: typedef struct {
 35:   PetscObjectId    id;
 36:   PetscObjectState state;
 37:   PetscObjectState nonzerostate;
 38: } MatState;

 40: /*J
 41:    MatType - String with the name of a PETSc matrix type. These are all the matrix formats that PETSc provides.

 43:    Level: beginner

 45:    Notes:
 46:    [](doc_matrix) for a table of available matrix types

 48:    Use `MatSetType()` or the options database keys `-mat_type` or `-dm_mat_type` to set the matrix format to use for a given `Mat`

 50: .seealso: [](doc_matrix), [](ch_matrices), `MatSetType()`, `Mat`, `MatSolverType`, `MatRegister()`
 51: J*/
 52: typedef const char *MatType;
 53: #define MATSAME                      "same"
 54: #define MATMAIJ                      "maij"
 55: #define MATSEQMAIJ                   "seqmaij"
 56: #define MATMPIMAIJ                   "mpimaij"
 57: #define MATKAIJ                      "kaij"
 58: #define MATSEQKAIJ                   "seqkaij"
 59: #define MATMPIKAIJ                   "mpikaij"
 60: #define MATIS                        "is"
 61: #define MATAIJ                       "aij"
 62: #define MATSEQAIJ                    "seqaij"
 63: #define MATMPIAIJ                    "mpiaij"
 64: #define MATAIJCRL                    "aijcrl"
 65: #define MATSEQAIJCRL                 "seqaijcrl"
 66: #define MATMPIAIJCRL                 "mpiaijcrl"
 67: #define MATAIJCUSPARSE               "aijcusparse"
 68: #define MATSEQAIJCUSPARSE            "seqaijcusparse"
 69: #define MATMPIAIJCUSPARSE            "mpiaijcusparse"
 70: #define MATAIJHIPSPARSE              "aijhipsparse"
 71: #define MATSEQAIJHIPSPARSE           "seqaijhipsparse"
 72: #define MATMPIAIJHIPSPARSE           "mpiaijhipsparse"
 73: #define MATAIJKOKKOS                 "aijkokkos"
 74: #define MATSEQAIJKOKKOS              "seqaijkokkos"
 75: #define MATMPIAIJKOKKOS              "mpiaijkokkos"
 76: #define MATAIJVIENNACL               "aijviennacl"
 77: #define MATSEQAIJVIENNACL            "seqaijviennacl"
 78: #define MATMPIAIJVIENNACL            "mpiaijviennacl"
 79: #define MATAIJPERM                   "aijperm"
 80: #define MATSEQAIJPERM                "seqaijperm"
 81: #define MATMPIAIJPERM                "mpiaijperm"
 82: #define MATAIJSELL                   "aijsell"
 83: #define MATSEQAIJSELL                "seqaijsell"
 84: #define MATMPIAIJSELL                "mpiaijsell"
 85: #define MATAIJMKL                    "aijmkl"
 86: #define MATSEQAIJMKL                 "seqaijmkl"
 87: #define MATMPIAIJMKL                 "mpiaijmkl"
 88: #define MATBAIJMKL                   "baijmkl"
 89: #define MATSEQBAIJMKL                "seqbaijmkl"
 90: #define MATMPIBAIJMKL                "mpibaijmkl"
 91: #define MATSHELL                     "shell"
 92: #define MATCENTERING                 "centering"
 93: #define MATDENSE                     "dense"
 94: #define MATDENSECUDA                 "densecuda"
 95: #define MATDENSEHIP                  "densehip"
 96: #define MATSEQDENSE                  "seqdense"
 97: #define MATSEQDENSECUDA              "seqdensecuda"
 98: #define MATSEQDENSEHIP               "seqdensehip"
 99: #define MATMPIDENSE                  "mpidense"
100: #define MATMPIDENSECUDA              "mpidensecuda"
101: #define MATMPIDENSEHIP               "mpidensehip"
102: #define MATELEMENTAL                 "elemental"
103: #define MATSCALAPACK                 "scalapack"
104: #define MATBAIJ                      "baij"
105: #define MATSEQBAIJ                   "seqbaij"
106: #define MATMPIBAIJ                   "mpibaij"
107: #define MATBAIJLIBXSMM               "baijlibxsmm"
108: #define MATSEQBAIJLIBXSMM            "seqbaijlibxsmm"
109: #define MATMPIBAIJLIBXSMM            "mpibaijlibxsmm"
110: #define MATMPIADJ                    "mpiadj"
111: #define MATSBAIJ                     "sbaij"
112: #define MATSEQSBAIJ                  "seqsbaij"
113: #define MATMPISBAIJ                  "mpisbaij"
114: #define MATMFFD                      "mffd"
115: #define MATNORMAL                    "normal"
116: #define MATNORMALHERMITIAN           "normalh"
117: #define MATLRC                       "lrc"
118: #define MATSCATTER                   "scatter"
119: #define MATBLOCKMAT                  "blockmat"
120: #define MATCOMPOSITE                 "composite"
121: #define MATFFT                       "fft"
122: #define MATFFTW                      "fftw"
123: #define MATSEQCUFFT                  "seqcufft"
124: #define MATSEQHIPFFT                 "seqhipfft"
125: #define MATTRANSPOSEMAT              PETSC_DEPRECATED_MACRO(3, 18, 0, "MATTRANSPOSEVIRTUAL", ) "transpose"
126: #define MATTRANSPOSEVIRTUAL          "transpose"
127: #define MATHERMITIANTRANSPOSEVIRTUAL "hermitiantranspose"
128: #define MATSCHURCOMPLEMENT           "schurcomplement"
129: #define MATPYTHON                    "python"
130: #define MATHYPRE                     "hypre"
131: #define MATHYPRESTRUCT               "hyprestruct"
132: #define MATHYPRESSTRUCT              "hypresstruct"
133: #define MATSUBMATRIX                 "submatrix"
134: #define MATLOCALREF                  "localref"
135: #define MATNEST                      "nest"
136: #define MATPREALLOCATOR              "preallocator"
137: #define MATSELL                      "sell"
138: #define MATSEQSELL                   "seqsell"
139: #define MATMPISELL                   "mpisell"
140: #define MATSELLCUDA                  "sellcuda"
141: #define MATSEQSELLCUDA               "seqsellcuda"
142: #define MATMPISELLCUDA               "mpisellcuda"
143: #define MATSELLHIP                   "sellhip"
144: #define MATSEQSELLHIP                "seqsellhip"
145: #define MATMPISELLHIP                "mpisellhip"
146: #define MATDUMMY                     "dummy"
147: #define MATLMVM                      "lmvm"
148: #define MATLMVMDFP                   "lmvmdfp"
149: #define MATLMVMDDFP                  "lmvmddfp"
150: #define MATLMVMBFGS                  "lmvmbfgs"
151: #define MATLMVMDBFGS                 "lmvmdbfgs"
152: #define MATLMVMDQN                   "lmvmdqn"
153: #define MATLMVMSR1                   "lmvmsr1"
154: #define MATLMVMBROYDEN               "lmvmbroyden"
155: #define MATLMVMBADBROYDEN            "lmvmbadbroyden"
156: #define MATLMVMSYMBROYDEN            "lmvmsymbroyden"
157: #define MATLMVMSYMBADBROYDEN         "lmvmsymbadbroyden"
158: #define MATLMVMDIAGBROYDEN           "lmvmdiagbroyden"
159: #define MATCONSTANTDIAGONAL          "constantdiagonal"
160: #define MATDIAGONAL                  "diagonal"
161: #define MATHTOOL                     "htool"
162: #define MATH2OPUS                    "h2opus"

164: /*J
165:    MatSolverType - String with the name of a PETSc factorization-based matrix solver type.

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

169:    Level: beginner

171:    Note:
172:    `MATSOLVERUMFPACK`, `MATSOLVERCHOLMOD`, `MATSOLVERKLU`, `MATSOLVERSPQR` form the SuiteSparse package; you can use `--download-suitesparse` as
173:    a ./configure option to install them

175: .seealso: [](sec_matfactor), [](ch_matrices), `MatGetFactor()`, `PCFactorSetMatSolverType()`, `PCFactorGetMatSolverType()`
176: J*/
177: typedef const char *MatSolverType;
178: #define MATSOLVERSUPERLU      "superlu"
179: #define MATSOLVERSUPERLU_DIST "superlu_dist"
180: #define MATSOLVERSTRUMPACK    "strumpack"
181: #define MATSOLVERUMFPACK      "umfpack"
182: #define MATSOLVERCHOLMOD      "cholmod"
183: #define MATSOLVERKLU          "klu"
184: #define MATSOLVERELEMENTAL    "elemental"
185: #define MATSOLVERSCALAPACK    "scalapack"
186: #define MATSOLVERESSL         "essl"
187: #define MATSOLVERLUSOL        "lusol"
188: #define MATSOLVERMUMPS        "mumps"
189: #define MATSOLVERMKL_PARDISO  "mkl_pardiso"
190: #define MATSOLVERMKL_CPARDISO "mkl_cpardiso"
191: #define MATSOLVERPASTIX       "pastix"
192: #define MATSOLVERMATLAB       "matlab"
193: #define MATSOLVERPETSC        "petsc"
194: #define MATSOLVERBAS          "bas"
195: #define MATSOLVERCUSPARSE     "cusparse"
196: #define MATSOLVERCUDA         "cuda"
197: #define MATSOLVERHIPSPARSE    "hipsparse"
198: #define MATSOLVERHIP          "hip"
199: #define MATSOLVERKOKKOS       "kokkos"
200: #define MATSOLVERSPQR         "spqr"
201: #define MATSOLVERHTOOL        "htool"

203: /*E
204:     MatFactorType - indicates what type of factorization is requested

206:     Values:
207: +  `MAT_FACTOR_LU`       - LU factorization
208: .  `MAT_FACTOR_CHOLESKY` - Cholesky factorization
209: .  `MAT_FACTOR_ILU`      - ILU factorization
210: .  `MAT_FACTOR_ICC`      - incomplete Cholesky factorization
211: .  `MAT_FACTOR_ILUDT`    - ILU factorization with drop tolerance
212: -  `MAT_FACTOR_QR`       - QR factorization

214:     Level: beginner

216: .seealso: [](ch_matrices), `MatSolverType`, `MatGetFactor()`, `MatGetFactorAvailable()`, `MatSolverTypeRegister()`
217: E*/
218: typedef enum {
219:   MAT_FACTOR_NONE,
220:   MAT_FACTOR_LU,
221:   MAT_FACTOR_CHOLESKY,
222:   MAT_FACTOR_ILU,
223:   MAT_FACTOR_ICC,
224:   MAT_FACTOR_ILUDT,
225:   MAT_FACTOR_QR,
226:   MAT_FACTOR_NUM_TYPES
227: } MatFactorType;
228: PETSC_EXTERN const char *const MatFactorTypes[];

230: PETSC_EXTERN PetscErrorCode MatGetFactor(Mat, MatSolverType, MatFactorType, Mat *);
231: PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat, MatSolverType, MatFactorType, PetscBool *);
232: PETSC_EXTERN PetscErrorCode MatFactorGetCanUseOrdering(Mat, PetscBool *);
233: PETSC_DEPRECATED_FUNCTION(3, 15, 0, "MatFactorGetCanUseOrdering()", ) static inline PetscErrorCode MatFactorGetUseOrdering(Mat A, PetscBool *b)
234: {
235:   return MatFactorGetCanUseOrdering(A, b);
236: }
237: PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat, MatSolverType *);
238: PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat, MatFactorType *);
239: PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat, MatFactorType);
240: /*S
241:   MatSolverFn - Function type for the factor-creation callback registered with `MatSolverTypeRegister()`, used by `MatGetFactor()` to allocate a factored matrix of a particular `MatSolverType` and `MatFactorType`

243:   Synopsis:
244: #include <petscmat.h>
245:   PetscErrorCode MatSolverFn(Mat A, MatFactorType ftype, Mat *F)

247:   Calling Sequence:
248: + A     - the matrix to be factored
249: . ftype - the kind of factorization requested (e.g. `MAT_FACTOR_LU`, `MAT_FACTOR_CHOLESKY`)
250: - F     - on output, the newly created factor `Mat` of the appropriate `MatType` for the solver

252:   Level: developer

254: .seealso: `Mat`, `MatGetFactor()`, `MatSolverType`, `MatFactorType`, `MatSolverTypeRegister()`, `MatSolverTypeGet()`
255: S*/
256: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatSolverFn(Mat, MatFactorType, Mat *);
257: PETSC_EXTERN_TYPEDEF typedef MatSolverFn   *MatSolverFunction PETSC_DEPRECATED_TYPEDEF(3, 26, 0, "MatSolverFn*", );

259: PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType, MatType, MatFactorType, MatSolverFn *);
260: PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType, MatType, MatFactorType, PetscBool *, PetscBool *, MatSolverFn **);
261: typedef MatSolverType       MatSolverPackage PETSC_DEPRECATED_TYPEDEF(3, 9, 0, "MatSolverType", );
262: PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSolverTypeRegister()", ) static inline PetscErrorCode MatSolverPackageRegister(MatSolverType stype, MatType mtype, MatFactorType ftype, MatSolverFn *f)
263: {
264:   return MatSolverTypeRegister(stype, mtype, ftype, f);
265: }
266: PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSolverTypeGet()", ) static inline PetscErrorCode MatSolverPackageGet(MatSolverType stype, MatType mtype, MatFactorType ftype, PetscBool *foundmtype, PetscBool *foundstype, MatSolverFn **f)
267: {
268:   return MatSolverTypeGet(stype, mtype, ftype, foundmtype, foundstype, f);
269: }

271: /*E
272:     MatProductType - indicates what type of matrix product to compute

274:     Values:
275: +  `MATPRODUCT_AB`   - product of two matrices
276: .  `MATPRODUCT_AtB`  - product of the transpose of a given matrix with a matrix
277: .  `MATPRODUCT_ABt`  - product of a matrix with the transpose of another given matrix
278: .  `MATPRODUCT_PtAP` - the triple product of the transpose of a matrix with another matrix and itself
279: .  `MATPRODUCT_RARt` - the triple product of a matrix, another matrix and the transpose of the first matrix
280: -  `MATPRODUCT_ABC`  - the product of three matrices

282:     Level: beginner

284: .seealso: [](sec_matmatproduct), [](ch_matrices), `MatProductSetType()`
285: E*/
286: typedef enum {
287:   MATPRODUCT_UNSPECIFIED,
288:   MATPRODUCT_AB,
289:   MATPRODUCT_AtB,
290:   MATPRODUCT_ABt,
291:   MATPRODUCT_PtAP,
292:   MATPRODUCT_RARt,
293:   MATPRODUCT_ABC
294: } MatProductType;
295: PETSC_EXTERN const char *const MatProductTypes[];

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

300:    Level: beginner

302: .seealso: [](sec_matmatproduct), [](ch_matrices), `MatSetType()`, `Mat`, `MatProductSetAlgorithm()`, `MatProductType`
303: J*/
304: typedef const char *MatProductAlgorithm;
305: #define MATPRODUCTALGORITHMDEFAULT         "default"
306: #define MATPRODUCTALGORITHMSORTED          "sorted"
307: #define MATPRODUCTALGORITHMSCALABLE        "scalable"
308: #define MATPRODUCTALGORITHMSCALABLEFAST    "scalable_fast"
309: #define MATPRODUCTALGORITHMHEAP            "heap"
310: #define MATPRODUCTALGORITHMBHEAP           "btheap"
311: #define MATPRODUCTALGORITHMLLCONDENSED     "llcondensed"
312: #define MATPRODUCTALGORITHMROWMERGE        "rowmerge"
313: #define MATPRODUCTALGORITHMOUTERPRODUCT    "outerproduct"
314: #define MATPRODUCTALGORITHMATB             "at*b"
315: #define MATPRODUCTALGORITHMRAP             "rap"
316: #define MATPRODUCTALGORITHMNONSCALABLE     "nonscalable"
317: #define MATPRODUCTALGORITHMSEQMPI          "seqmpi"
318: #define MATPRODUCTALGORITHMBACKEND         "backend"
319: #define MATPRODUCTALGORITHMOVERLAPPING     "overlapping"
320: #define MATPRODUCTALGORITHMMERGED          "merged"
321: #define MATPRODUCTALGORITHMALLATONCE       "allatonce"
322: #define MATPRODUCTALGORITHMALLATONCEMERGED "allatonce_merged"
323: #define MATPRODUCTALGORITHMALLGATHERV      "allgatherv"
324: #define MATPRODUCTALGORITHMCYCLIC          "cyclic"
325: #define MATPRODUCTALGORITHMHYPRE           "hypre"

327: PETSC_EXTERN PetscErrorCode MatProductCreate(Mat, Mat, Mat, Mat *);
328: PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat, Mat, Mat, Mat);
329: PETSC_EXTERN PetscErrorCode MatProductSetType(Mat, MatProductType);
330: PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat, MatProductAlgorithm);
331: PETSC_EXTERN PetscErrorCode MatProductGetAlgorithm(Mat, MatProductAlgorithm *);
332: PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat, PetscReal);
333: PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
334: PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
335: PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
336: PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat, Mat, Mat, Mat);
337: PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
338: PETSC_EXTERN PetscErrorCode MatProductView(Mat, PetscViewer);
339: PETSC_EXTERN PetscErrorCode MatProductGetType(Mat, MatProductType *);
340: PETSC_EXTERN PetscErrorCode MatProductGetMats(Mat, Mat *, Mat *, Mat *);

342: /* Logging support */
343: #define MAT_FILE_CLASSID 1211216 /* used to indicate matrices in binary files */
344: PETSC_EXTERN PetscClassId MAT_CLASSID;
345: PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
346: PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
347: PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
348: PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
349: PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
350: #define MAT_NULLSPACE_FILE_CLASSID 1211220
351: PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
352: PETSC_EXTERN PetscClassId MATMFFD_CLASSID;

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

358:    Values:
359: +  `MAT_INITIAL_MATRIX` - create a new matrix
360: .  `MAT_REUSE_MATRIX`   - reuse the matrix created with a previous call that used `MAT_INITIAL_MATRIX`
361: .  `MAT_INPLACE_MATRIX` - replace the first input matrix with the new matrix (not applicable to all functions)
362: -  `MAT_IGNORE_MATRIX`  - do not create a new matrix or reuse a given matrix, just ignore that matrix argument (not applicable to all functions)

364:     Level: beginner

366: .seealso: [](ch_matrices), `Mat`, `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatDestroyMatrices()`, `MatConvert()`
367: E*/
368: typedef enum {
369:   MAT_INITIAL_MATRIX,
370:   MAT_REUSE_MATRIX,
371:   MAT_IGNORE_MATRIX,
372:   MAT_INPLACE_MATRIX
373: } MatReuse;

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

379:     Values:
380: +  `MAT_DO_NOT_GET_VALUES` - do not copy the matrix values
381: -  `MAT_GET_VALUES`        - copy the matrix values

383:     Level: developer

385:     Developer Note:
386:     Why is not just a boolean used for this information?

388: .seealso: [](ch_matrices), `Mat`, `MatDuplicateOption`, `PetscCopyMode`, `MatGetSeqNonzeroStructure()`
389: E*/
390: typedef enum {
391:   MAT_DO_NOT_GET_VALUES,
392:   MAT_GET_VALUES
393: } MatCreateSubMatrixOption;

395: PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
396: PETSC_EXTERN PetscErrorCode MatFinalizePackage(void);

398: PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm, Mat *);
399: PETSC_EXTERN PetscErrorCode MatCreateFromOptions(MPI_Comm, const char *, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
400: PETSC_EXTERN PetscErrorCode MatSetSizes(Mat, PetscInt, PetscInt, PetscInt, PetscInt);
401: PETSC_EXTERN PetscErrorCode MatSetType(Mat, MatType);
402: PETSC_EXTERN PetscErrorCode MatGetVecType(Mat, VecType *);
403: PETSC_EXTERN PetscErrorCode MatSetVecType(Mat, VecType);
404: PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
405: PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat, PetscObject, const char[]);
406: PETSC_EXTERN PetscErrorCode MatRegister(const char[], PetscErrorCode (*)(Mat));
407: PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[], const char[], const char[]);
408: PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat, const char[]);
409: PETSC_EXTERN PetscErrorCode MatSetOptionsPrefixFactor(Mat, const char[]);
410: PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefixFactor(Mat, const char[]);
411: PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat, const char[]);
412: PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat, const char *[]);
413: PETSC_EXTERN PetscErrorCode MatGetState(Mat, MatState *);
414: PETSC_EXTERN PetscErrorCode MatStateCompare(MatState, MatState, PetscBool *);
415: PETSC_EXTERN PetscErrorCode MatStateCompareUpdate(Mat, MatState *, PetscBool *);
416: /*MC
417:   MatStateInvalidate - Invalidates a matrix state snapshot

419:   Synopsis:
420: #include <petscmat.h>
421:   PetscErrorCode MatStateInvalidate(MatState state)

423:   Not Collective

425:   Input/Output Parameter:
426: . state - the matrix state

428:   Level: developer

430: .seealso: [](ch_matrices), `Mat`, `MatState`, `MatGetState()`, `MatStateCompare()`, `MatStateCompareUpdate()`
431: M*/
432: #define MatStateInvalidate(s) ((s).id = 0, (s).state = -1, (s).nonzerostate = -1, PETSC_SUCCESS)
433: PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat, PetscBool);

435: PETSC_EXTERN PetscFunctionList MatList;
436: PETSC_EXTERN PetscFunctionList MatColoringList;
437: PETSC_EXTERN PetscFunctionList MatPartitioningList;
438: PETSC_EXTERN PetscFunctionList MatMeshToCellGraphList;

440: /*E
441:    MatStructure - Indicates if two matrices have the same nonzero structure

443:    Values:
444: +  `SAME_NONZERO_PATTERN`      - the two matrices have identical nonzero patterns
445: .  `DIFFERENT_NONZERO_PATTERN` - the two matrices may have different nonzero patterns
446: .  `SUBSET_NONZERO_PATTERN`    - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
447: -  `UNKNOWN_NONZERO_PATTERN`   - there is no known relationship between the nonzero patterns. In this case the implementations
448:                                  may try to detect a relationship to optimize the operation

450:    Level: beginner

452:    Note:
453:    Certain matrix operations (such as `MatAXPY()`) can run much faster if the sparsity pattern of the matrices are the same. But actually determining if
454:    the patterns are the same may be costly. This provides a way for users who know something about the sparsity patterns to provide this information
455:    to certain PETSc routines.

457: .seealso: [](ch_matrices), `Mat`, `MatCopy()`, `MatAXPY()`, `MatAYPX()`
458: E*/
459: typedef enum {
460:   DIFFERENT_NONZERO_PATTERN,
461:   SUBSET_NONZERO_PATTERN,
462:   SAME_NONZERO_PATTERN,
463:   UNKNOWN_NONZERO_PATTERN
464: } MatStructure;
465: PETSC_EXTERN const char *const MatStructures[];

467: #if PetscDefined(HAVE_MKL_SPARSE)
468: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
469: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
470: PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
471: PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
472: #endif

474: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJPERM(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
475: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJPERM(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);

477: PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
478: PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
479: PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat, PetscInt, const PetscInt[]);
480: PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
481: PETSC_EXTERN PetscErrorCode MatSeqSELLGetFillRatio(Mat, PetscReal *);
482: PETSC_EXTERN PetscErrorCode MatSeqSELLGetMaxSliceWidth(Mat, PetscInt *);
483: PETSC_EXTERN PetscErrorCode MatSeqSELLGetAvgSliceWidth(Mat, PetscReal *);
484: PETSC_EXTERN PetscErrorCode MatSeqSELLSetSliceHeight(Mat, PetscInt);
485: PETSC_EXTERN PetscErrorCode MatSeqSELLGetVarSliceSize(Mat, PetscReal *);

487: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
488: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
489: PETSC_EXTERN PetscErrorCode MatMPISELLGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
490: PETSC_EXTERN PetscErrorCode MatMPISELLGetSeqSELL(Mat, Mat *, Mat *, const PetscInt *[]);

492: PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
493: PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
494: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
495: PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
496: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
497: PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
498: PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArray(Mat, const PetscScalar[]);
499: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], PetscInt[], PetscInt[], PetscScalar[], Mat *);
500: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm, PetscInt, PetscInt, Mat, Mat, PetscInt *, Mat *);

502: PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
503: PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
504: PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);

506: PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat, PetscCount, PetscInt[], PetscInt[]);
507: PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat, PetscCount, PetscInt[], PetscInt[]);
508: PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat, const PetscScalar[], InsertMode);

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

513: PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
514: PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
515: PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
516: PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
517: PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], const PetscInt[]);

519: PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscCtx, Mat *);
520: PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm, PetscInt, PetscInt, Mat *);
521: PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat, Mat *);
522: PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat, Mat *);
523: PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat, Mat, Vec, Mat, Mat *);
524: PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat, Mat *, Mat *, Vec *, Mat *);
525: PETSC_EXTERN PetscErrorCode MatLRCSetMats(Mat, Mat, Mat, Vec, Mat);
526: PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, ISLocalToGlobalMapping, ISLocalToGlobalMapping, Mat *);
527: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
528: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);

530: PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm, VecScatter, Mat *);
531: PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat, VecScatter);
532: PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat, VecScatter *);
533: PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt *, Mat *);
534: PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat, Mat);
535: PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
536: /*E
537:    MatCompositeMergeType - Selects the order in which the matrices held by a `MATCOMPOSITE` are combined when `MatCompositeMerge()` is called

539:    Values:
540: +   `MAT_COMPOSITE_MERGE_RIGHT` - merge into a single matrix starting from the rightmost matrix (multiplicative compositions use this to preserve the natural left-to-right application order)
541: -   `MAT_COMPOSITE_MERGE_LEFT`  - merge into a single matrix starting from the leftmost matrix

543:    Level: advanced

545: .seealso: [](ch_matrices), `Mat`, `MATCOMPOSITE`, `MatCompositeMerge()`, `MatCompositeSetMergeType()`, `MatCompositeType`
546: E*/
547: typedef enum {
548:   MAT_COMPOSITE_MERGE_RIGHT,
549:   MAT_COMPOSITE_MERGE_LEFT
550: } MatCompositeMergeType;
551: PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat, MatCompositeMergeType);
552: PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm, PetscInt, const Mat *, Mat *);
553: /*E
554:     MatCompositeType - indicates what type of `MATCOMPOSITE` is used

556:     Values:
557: +  `MAT_COMPOSITE_ADDITIVE`       - sum of matrices (default)
558: -  `MAT_COMPOSITE_MULTIPLICATIVE` - product of matrices

560:     Level: beginner

562: .seealso: [](ch_matrices), `MATCOMPOSITE`, `MatCompositeSetType()`, `MatCompositeGetType()`
563: E*/
564: typedef enum {
565:   MAT_COMPOSITE_ADDITIVE,
566:   MAT_COMPOSITE_MULTIPLICATIVE
567: } MatCompositeType;
568: PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat, MatCompositeType);
569: PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat, MatCompositeType *);
570: PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat, MatStructure);
571: PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat, MatStructure *);
572: PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat, PetscInt *);
573: PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat, PetscInt, Mat *);
574: PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat, const PetscScalar *);

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

579: PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat, Mat *);
580: PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat, Mat *);
581: PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat, Mat *);
582: PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat, Mat *);
583: PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat, Mat *);
584: PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat, Mat *);
585: PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat, IS, IS, Mat *);
586: PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat, Mat, IS, IS);
587: PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat, IS, IS, Mat *);
588: PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar, Mat *);
589: PETSC_EXTERN PetscErrorCode MatCreateDiagonal(Vec, Mat *);
590: PETSC_EXTERN PetscErrorCode MatDiagonalSetDiagonal(Mat, Vec);
591: PETSC_EXTERN PetscErrorCode MatDiagonalGetDiagonal(Mat, Vec *);
592: PETSC_EXTERN PetscErrorCode MatDiagonalRestoreDiagonal(Mat, Vec *);
593: PETSC_EXTERN PetscErrorCode MatDiagonalGetInverseDiagonal(Mat, Vec *);
594: PETSC_EXTERN PetscErrorCode MatDiagonalRestoreInverseDiagonal(Mat, Vec *);
595: PETSC_EXTERN PetscErrorCode MatConstantDiagonalGetConstant(Mat, PetscScalar *);
596: PETSC_EXTERN PetscErrorCode MatGetCurrentMemType(Mat, PetscMemType *);

598: #if PetscDefined(HAVE_HYPRE)
599: PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
600: #endif

602: PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat, const char[]);
603: PETSC_EXTERN PetscErrorCode MatPythonGetType(Mat, const char *[]);
604: PETSC_EXTERN PetscErrorCode MatPythonCreate(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const char[], Mat *);

606: PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
607: PETSC_EXTERN PetscErrorCode MatResetHash(Mat);
608: PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
609: PETSC_EXTERN PetscErrorCode MatDestroy(Mat *);
610: PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat, PetscObjectState *);

612: PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
613: PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
614: PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
615: PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat, Mat *);
616: PETSC_EXTERN PetscErrorCode MatGetMultPetscSF(Mat, PetscSF *);
617: PETSC_EXTERN PetscErrorCode MatGetTrace(Mat, PetscScalar *);
618: PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat, const PetscScalar **);
619: PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat, PetscInt, const PetscInt *, PetscScalar *);
620: PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat, Mat);
621: PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat, MatReuse, Mat *);
622: PETSC_EXTERN PetscErrorCode MatComputeVariableBlockEnvelope(Mat);

624: PETSC_EXTERN PetscErrorCode MatSetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
625: PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat, IS, IS, const PetscScalar[], InsertMode);
626: PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
627: PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat, PetscInt, const PetscScalar[]);
628: PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat, PetscInt, const PetscScalar[]);
629: PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt[], const PetscScalar[]);
630: PETSC_EXTERN PetscErrorCode MatSetRandom(Mat, PetscRandom);

632: /*S
633:    MatStencil - Data structure (C struct) for storing information about rows and
634:    columns of a matrix as indexed on an associated grid. These are arguments to `MatSetStencil()` and `MatSetBlockStencil()`

636:    Level: beginner

638:    Notes:
639:    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).
640:    The c represents the degrees of freedom at each grid point (the dof argument to `DMDASetDOF()`). If dof is 1 then this entry is ignored.

642:    For stencil access to vectors see `DMDAVecGetArray()`

644:    For staggered grids, see `DMStagStencil`

646: .seealso: [](ch_matrices), `Mat`, `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`,
647:           `DMStagStencil`
648: S*/
649: typedef struct {
650:   PetscInt k, j, i, c;
651: } MatStencil;

653: PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
654: PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
655: PETSC_EXTERN PetscErrorCode MatSetStencil(Mat, PetscInt, const PetscInt[], const PetscInt[], PetscInt);

657: /*E
658:     MatAssemblyType - Indicates if the process of setting values into the matrix is complete, and the matrix is ready for use

660:     Values:
661: +   `MAT_FLUSH_ASSEMBLY` - you will continue to put values into the matrix
662: -   `MAT_FINAL_ASSEMBLY` - you wish to use the matrix with the values currently inserted

664:     Level: beginner

666: .seealso: [](ch_matrices), `Mat`, `MatSetValues`, `MatAssemblyBegin()`, `MatAssemblyEnd()`
667: E*/
668: typedef enum {
669:   MAT_FLUSH_ASSEMBLY = 1,
670:   MAT_FINAL_ASSEMBLY = 0
671: } MatAssemblyType;

673: PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat, MatAssemblyType);
674: PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat, MatAssemblyType);
675: PETSC_EXTERN PetscErrorCode MatAssembled(Mat, PetscBool *);

677: /*E
678:    MatOption - Options that may be set for a matrix that indicate properties of the matrix or affect its behavior or storage

680:    Level: beginner

682:    Note:
683:    See `MatSetOption()` for the use of the options

685:    Developer Note:
686:    Entries that are negative need not be called collectively by all processes.

688: .seealso: [](ch_matrices), `Mat`, `MatSetOption()`, `VecOption`
689: E*/
690: typedef enum {
691:   MAT_OPTION_MIN                  = -3,
692:   MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
693:   MAT_ROW_ORIENTED                = -1,
694:   MAT_SYMMETRIC                   = 1,
695:   MAT_STRUCTURALLY_SYMMETRIC      = 2,
696:   MAT_FORCE_DIAGONAL_ENTRIES      = 3,
697:   MAT_IGNORE_OFF_PROC_ENTRIES     = 4,
698:   MAT_USE_HASH_TABLE              = 5,
699:   MAT_KEEP_NONZERO_PATTERN        = 6,
700:   MAT_IGNORE_ZERO_ENTRIES         = 7,
701:   MAT_USE_INODES                  = 8,
702:   MAT_HERMITIAN                   = 9,
703:   MAT_SYMMETRY_ETERNAL            = 10,
704:   MAT_NEW_NONZERO_LOCATION_ERR    = 11,
705:   MAT_IGNORE_LOWER_TRIANGULAR     = 12,
706:   MAT_ERROR_LOWER_TRIANGULAR      = 13,
707:   MAT_GETROW_UPPERTRIANGULAR      = 14,
708:   MAT_SPD                         = 15,
709:   MAT_NO_OFF_PROC_ZERO_ROWS       = 16,
710:   MAT_NO_OFF_PROC_ENTRIES         = 17,
711:   MAT_NEW_NONZERO_LOCATIONS       = 18,
712:   MAT_NEW_NONZERO_ALLOCATION_ERR  = 19,
713:   MAT_SUBSET_OFF_PROC_ENTRIES     = 20,
714:   MAT_SUBMAT_SINGLEIS             = 21,
715:   MAT_STRUCTURE_ONLY              = 22,
716:   MAT_SORTED_FULL                 = 23,
717:   MAT_FORM_EXPLICIT_TRANSPOSE     = 24,
718:   MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
719:   MAT_SPD_ETERNAL                 = 26,
720:   MAT_OPTION_MAX                  = 27
721: } MatOption;

723: PETSC_EXTERN const char *const *MatOptions;
724: PETSC_EXTERN PetscErrorCode     MatSetOption(Mat, MatOption, PetscBool);
725: PETSC_EXTERN PetscErrorCode     MatGetOption(Mat, MatOption, PetscBool *);
726: PETSC_EXTERN PetscErrorCode     MatPropagateSymmetryOptions(Mat, Mat);
727: PETSC_EXTERN PetscErrorCode     MatGetType(Mat, MatType *);

729: PETSC_EXTERN PetscErrorCode    MatGetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
730: PETSC_EXTERN PetscErrorCode    MatGetRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
731: PETSC_EXTERN PetscErrorCode    MatRestoreRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
732: PETSC_EXTERN PetscErrorCode    MatGetRowUpperTriangular(Mat);
733: PETSC_EXTERN PetscErrorCode    MatRestoreRowUpperTriangular(Mat);
734: PETSC_EXTERN PetscErrorCode    MatGetColumnVector(Mat, Vec, PetscInt);
735: PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArray(Mat, PetscScalar *[]);
736: PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayRead(Mat, const PetscScalar *[]);
737: PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayWrite(Mat, PetscScalar *[]);
738: PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArray(Mat, PetscScalar *[]);
739: PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayRead(Mat, const PetscScalar *[]);
740: PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayWrite(Mat, PetscScalar *[]);
741: PETSC_EXTERN PetscErrorCode    MatSeqAIJGetMaxRowNonzeros(Mat, PetscInt *);
742: PETSC_EXTERN PetscErrorCode    MatSeqAIJSetValuesLocalFast(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
743: PETSC_EXTERN PetscErrorCode    MatSeqAIJSetType(Mat, MatType);
744: PETSC_EXTERN PetscErrorCode    MatSeqAIJKron(Mat, Mat, MatReuse, Mat *);
745: PETSC_EXTERN PetscErrorCode    MatSeqAIJRegister(const char[], PetscErrorCode (*)(Mat, MatType, MatReuse, Mat *));
746: PETSC_EXTERN PetscFunctionList MatSeqAIJList;
747: PETSC_EXTERN PetscErrorCode    MatSeqBAIJGetArray(Mat, PetscScalar *[]);
748: PETSC_EXTERN PetscErrorCode    MatSeqBAIJRestoreArray(Mat, PetscScalar *[]);
749: PETSC_EXTERN PetscErrorCode    MatSeqSBAIJGetArray(Mat, PetscScalar *[]);
750: PETSC_EXTERN PetscErrorCode    MatSeqSBAIJRestoreArray(Mat, PetscScalar *[]);
751: PETSC_EXTERN PetscErrorCode    MatDenseGetArray(Mat, PetscScalar *[]);
752: PETSC_EXTERN PetscErrorCode    MatDenseRestoreArray(Mat, PetscScalar *[]);
753: PETSC_EXTERN PetscErrorCode    MatDensePlaceArray(Mat, const PetscScalar[]);
754: PETSC_EXTERN PetscErrorCode    MatDenseReplaceArray(Mat, const PetscScalar[]);
755: PETSC_EXTERN PetscErrorCode    MatDenseReplaceArrayWithMemType(Mat, PetscMemType, const PetscScalar[]);
756: PETSC_EXTERN PetscErrorCode    MatDenseResetArray(Mat);
757: PETSC_EXTERN PetscErrorCode    MatDenseGetArrayRead(Mat, const PetscScalar *[]);
758: PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayRead(Mat, const PetscScalar *[]);
759: PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWrite(Mat, PetscScalar *[]);
760: PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWrite(Mat, PetscScalar *[]);
761: PETSC_EXTERN PetscErrorCode    MatDenseGetArrayAndMemType(Mat, PetscScalar *[], PetscMemType *);
762: PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayAndMemType(Mat, PetscScalar *[]);
763: PETSC_EXTERN PetscErrorCode    MatDenseGetArrayReadAndMemType(Mat, const PetscScalar *[], PetscMemType *);
764: PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayReadAndMemType(Mat, const PetscScalar *[]);
765: PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWriteAndMemType(Mat, PetscScalar *[], PetscMemType *);
766: PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWriteAndMemType(Mat, PetscScalar *[]);
767: PETSC_EXTERN PetscErrorCode    MatGetBlockSize(Mat, PetscInt *);
768: PETSC_EXTERN PetscErrorCode    MatSetBlockSize(Mat, PetscInt);
769: PETSC_EXTERN PetscErrorCode    MatGetBlockSizes(Mat, PetscInt *, PetscInt *);
770: PETSC_EXTERN PetscErrorCode    MatSetBlockSizes(Mat, PetscInt, PetscInt);
771: PETSC_EXTERN PetscErrorCode    MatSetBlockSizesFromMats(Mat, Mat, Mat);
772: PETSC_EXTERN PetscErrorCode    MatSetVariableBlockSizes(Mat, PetscInt, const PetscInt[]);
773: PETSC_EXTERN PetscErrorCode    MatGetVariableBlockSizes(Mat, PetscInt *, const PetscInt *[]);
774: PETSC_EXTERN PetscErrorCode    MatSelectVariableBlockSizes(Mat, Mat, IS);

776: PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat, PetscInt, PetscScalar *[]);
777: PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat, PetscScalar *[]);
778: PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat, PetscInt, Vec *);
779: PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat, PetscInt, Vec *);
780: PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat, PetscInt, Vec *);
781: PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat, PetscInt, Vec *);
782: PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat, PetscInt, Vec *);
783: PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat, PetscInt, Vec *);
784: PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
785: PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat, Mat *);
786: PETSC_EXTERN PetscErrorCode MatDenseUpdateColumnLayout(Mat, PetscLayout);

788: PETSC_EXTERN PetscErrorCode MatMult(Mat, Vec, Vec);
789: PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat, Vec, Vec);
790: PETSC_EXTERN PetscErrorCode MatMultAdd(Mat, Vec, Vec, Vec);
791: PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat, Vec, Vec);
792: PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat, Vec, Vec);
793: PETSC_EXTERN PetscErrorCode MatADot(Mat, Vec, Vec, PetscScalar *);
794: PETSC_EXTERN PetscErrorCode MatANorm(Mat, Vec, PetscReal *);
795: PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat, Mat, PetscReal, PetscBool *);
796: PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat, Mat, PetscReal, PetscBool *);
797: PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat, Vec, Vec, Vec);
798: PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat, Vec, Vec, Vec);
799: PETSC_EXTERN PetscErrorCode MatMatSolve(Mat, Mat, Mat);
800: PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat, Mat, Mat);
801: PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat, Mat, Mat);
802: PETSC_EXTERN PetscErrorCode MatResidual(Mat, Vec, Vec, Vec);

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

808:   Values:
809: + `MAT_DO_NOT_COPY_VALUES`    - Create a matrix using the same nonzero pattern as the original matrix,
810:                                 with zeros for the numerical values
811: . `MAT_COPY_VALUES`           - Create a matrix with the same nonzero pattern as the original matrix
812:                                 and with the same numerical values.
813: - `MAT_SHARE_NONZERO_PATTERN` - Create a matrix that shares the nonzero structure with the previous matrix
814:                                 and does not copy it, using zeros for the numerical values. The parent and
815:                                 child matrices will share their index (i and j) arrays, and you cannot
816:                                 insert new nonzero entries into either matrix

818:   Level: beginner

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

824: .seealso: [](ch_matrices), `Mat`, `MatDuplicate()`
825: E*/
826: typedef enum {
827:   MAT_DO_NOT_COPY_VALUES,
828:   MAT_COPY_VALUES,
829:   MAT_SHARE_NONZERO_PATTERN
830: } MatDuplicateOption;

832: PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
833: PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);

835: PETSC_EXTERN PetscErrorCode MatCopy(Mat, Mat, MatStructure);
836: PETSC_EXTERN PetscErrorCode MatView(Mat, PetscViewer);
837: PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat, PetscReal, PetscBool *);
838: PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat, PetscBool *);
839: PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat, PetscReal, PetscBool *);
840: PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat, PetscBool *, PetscBool *);
841: PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat, PetscBool *, PetscBool *);
842: PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat, PetscBool *, PetscBool *);
843: PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat, PetscBool *, PetscBool *);
844: PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);

846: PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
847: PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
848: PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
849: PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);

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

854:    Level: intermediate

856:    Fortran Note:
857:    `MatInfo` is a derived type, use e.g. `matinfo%nz_allocated` to access its components.

859: .seealso: [](ch_matrices), `Mat`, `MatGetInfo()`, `MatInfoType`
860: S*/
861: typedef struct {
862:   PetscLogDouble block_size;                          /* block size */
863:   PetscLogDouble nz_allocated, nz_used, nz_unneeded;  /* number of nonzeros */
864:   PetscLogDouble memory;                              /* memory allocated */
865:   PetscLogDouble assemblies;                          /* number of matrix assemblies called */
866:   PetscLogDouble mallocs;                             /* number of mallocs during MatSetValues() */
867:   PetscLogDouble fill_ratio_given, fill_ratio_needed; /* fill ratio for LU/ILU */
868:   PetscLogDouble factor_mallocs;                      /* number of mallocs during factorization */
869: } MatInfo;

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

875:     Values:
876: +   `MAT_LOCAL`      - values for each MPI process part of the matrix
877: .   `MAT_GLOBAL_MAX` - maximum of each value over all MPI processes
878: -   `MAT_GLOBAL_SUM` - sum of each value over all MPI processes

880:     Level: beginner

882: .seealso: [](ch_matrices), `MatGetInfo()`, `MatInfo`
883: E*/
884: typedef enum {
885:   MAT_LOCAL      = 1,
886:   MAT_GLOBAL_MAX = 2,
887:   MAT_GLOBAL_SUM = 3
888: } MatInfoType;
889: PETSC_EXTERN PetscErrorCode MatGetInfo(Mat, MatInfoType, MatInfo *);
890: PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat, Vec);
891: PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat, Vec, PetscInt[]);
892: PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat, Vec, PetscInt[]);
893: PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat, Vec, PetscInt[]);
894: PETSC_EXTERN PetscErrorCode MatGetRowSumAbs(Mat, Vec);
895: PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat, Vec, PetscInt[]);
896: PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat, Vec);
897: PETSC_EXTERN PetscErrorCode MatTranspose(Mat, MatReuse, Mat *);
898: PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat, Mat *);
899: PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat, Mat);
900: PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat, MatReuse, Mat *);
901: PETSC_EXTERN PetscErrorCode MatPermute(Mat, IS, IS, Mat *);
902: PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat, Vec, Vec);
903: PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat, Vec, InsertMode);

905: PETSC_EXTERN PetscErrorCode MatEqual(Mat, Mat, PetscBool *);
906: PETSC_EXTERN PetscErrorCode MatMultEqual(Mat, Mat, PetscInt, PetscBool *);
907: PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat, Mat, PetscInt, PetscBool *);
908: PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
909: PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
910: PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
911: PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
912: PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
913: PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
914: PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
915: PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
916: PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
917: PETSC_EXTERN PetscErrorCode MatIsLinear(Mat, PetscInt, PetscBool *);

919: PETSC_EXTERN PetscErrorCode MatNorm(Mat, NormType, PetscReal *);
920: PETSC_EXTERN PetscErrorCode MatNormApproximate(Mat, NormType, PetscInt, PetscReal *);
921: PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat, NormType, PetscReal *);
922: PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat, PetscScalar *);
923: PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat, PetscReal *);
924: PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat, PetscReal *);
925: PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat, PetscScalar *);
926: PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat, PetscReal *);
927: PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat, PetscReal *);
928: PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat, PetscInt, PetscReal *);
929: PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
930: PETSC_EXTERN PetscErrorCode MatFlag(Mat, PetscInt);
931: PETSC_DEPRECATED_FUNCTION(3, 26, 0, "MatFlag()", ) static inline PetscErrorCode MatSetInf(Mat A)
932: {
933:   return MatFlag(A, 1);
934: }
935: PETSC_EXTERN PetscErrorCode MatZeroRows(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
936: PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat, IS, PetscScalar, Vec, Vec);
937: PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
938: PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
939: PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
940: PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat, IS, PetscScalar, Vec, Vec);

942: PETSC_EXTERN PetscErrorCode MatGetSize(Mat, PetscInt *, PetscInt *);
943: PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat, PetscInt *, PetscInt *);
944: PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat, PetscInt *, PetscInt *);
945: PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat, const PetscInt **);
946: PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat, PetscInt *, PetscInt *);
947: PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat, const PetscInt **);
948: PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat, IS *, IS *);

950: PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
951: PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatrices()", ) static inline PetscErrorCode MatGetSubMatrices(Mat mat, PetscInt n, const IS irow[], const IS icol[], MatReuse scall, Mat *submat[])
952: {
953:   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
954: }
955: PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
956: PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatricesMPI()", ) static inline PetscErrorCode MatGetSubMatricesMPI(Mat mat, PetscInt n, const IS irow[], const IS icol[], MatReuse scall, Mat *submat[])
957: {
958:   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
959: }
960: PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
961: PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
962: PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
963: PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatrix()", ) static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat)
964: {
965:   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
966: }
967: PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
968: PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
969: PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
970: PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);

972: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm, Mat, PetscInt, PetscInt, MatReuse, Mat *);
973: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm, Mat, PetscInt, PetscInt, Mat *);
974: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat, Mat);
975: PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat, MatReuse, Mat *);
976: PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat, Mat *);
977: PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
978: PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat, MatReuse, IS *, Mat *);
979: PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat, PetscCount *);
980: PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat, Mat, MatReuse, IS *, IS *, Mat *);
981: PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *, const PetscInt *[]);

983: PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
984: PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat, PetscInt, IS[], PetscInt);
985: PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);

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

989: PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
990: PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);

992: PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
993: PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);

995: PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
996: PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);

998: PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
999: PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);

1001: PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
1002: PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);

1004: PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping, ISLocalToGlobalMapping);
1005: PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
1006: PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat, PetscLayout *, PetscLayout *);
1007: PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat, PetscLayout, PetscLayout);
1008: PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
1009: PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
1010: PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
1011: PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
1012: PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
1013: PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
1014: PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);

1016: PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
1017: PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);

1019: PETSC_EXTERN PetscErrorCode MatInterpolate(Mat, Vec, Vec);
1020: PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat, Vec, Vec, Vec);
1021: PETSC_EXTERN PetscErrorCode MatRestrict(Mat, Vec, Vec);
1022: PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat, Mat, Mat *);
1023: PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat, Mat, Mat, Mat *);
1024: PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat, Mat, Mat *);
1025: PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat, Vec *, Vec *);
1026: PETSC_DEPRECATED_FUNCTION(3, 6, 0, "MatCreateVecs()", ) static inline PetscErrorCode MatGetVecs(Mat mat, Vec *x, Vec *y)
1027: {
1028:   return MatCreateVecs(mat, x, y);
1029: }
1030: PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat, PetscInt, MPI_Comm, MatReuse, Mat *);
1031: PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat, MPI_Comm, MatReuse, Mat *);
1032: PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat, IS *);
1033: PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat, IS *);
1034: PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm, Mat, PetscInt, MatReuse, Mat *);

1036: PETSC_EXTERN PetscErrorCode MatCopyHashToXAIJ(Mat A, Mat B);
1037: /*@
1038:   MatSetValue - Set a single entry into a matrix.

1040:   Not Collective

1042:   Input Parameters:
1043: + mat  - the matrix
1044: . i    - the row location of the entry
1045: . j    - the column location of the entry
1046: . va   - the value to insert
1047: - mode - either `INSERT_VALUES` or `ADD_VALUES`

1049:   Level: beginner

1051:   Notes:
1052:   This value may be cached, so `MatAssemblyBegin()` and `MatAssemblyEnd()`
1053:   MUST be called after all calls to `MatSetValue()` have been completed.

1055:   For efficiency one should use `MatSetValues()` and set several values simultaneously.

1057: .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `InsertMode`, `MatGetValue()`, `MatSetValues()`,
1058:   `MatSetValueLocal()`, `MatSetValuesLocal()`
1059: @*/
1060: static inline PetscErrorCode MatSetValue(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
1061: {
1062:   return MatSetValues(mat, 1, &i, 1, &j, &va, mode);
1063: }

1065: /*@
1066:   MatGetValue - Gets a single value from a matrix

1068:   Not Collective; can only return a value owned by the given process

1070:   Input Parameters:
1071: + mat - the matrix
1072: . row - the row location of the entry
1073: - col - the column location of the entry

1075:   Output Parameter:
1076: . va - the value

1078:   Level: advanced

1080:   Notes:
1081:   The matrix must have been assembled with `MatAssemblyBegin()` and `MatAssemblyEnd()` before this call

1083:   For efficiency one should use `MatGetValues()` and get several values simultaneously.

1085:   See notes for `MatGetValues()`.

1087: .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `MatSetValue()`, `MatGetValuesLocal()`, `MatGetValues()`
1088: @*/
1089: static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
1090: {
1091:   return MatGetValues(mat, 1, &row, 1, &col, va);
1092: }

1094: /*@
1095:   MatSetValueLocal - Inserts or adds a single value into a matrix, using a local numbering of the nodes.

1097:   Not Collective

1099:   Input Parameters:
1100: + mat  - the matrix
1101: . i    - the row location of the entry
1102: . j    - the column location of the entry
1103: . va   - the value to insert
1104: - mode - either `INSERT_VALUES` or `ADD_VALUES`

1106:   Level: intermediate

1108:   Notes:
1109:   For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.

1111:   See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.

1113: .seealso: [](ch_matrices), `MatSetValue()`, `MatSetValuesLocal()`
1114: @*/
1115: static inline PetscErrorCode MatSetValueLocal(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
1116: {
1117:   return MatSetValuesLocal(mat, 1, &i, 1, &j, &va, mode);
1118: }

1120: /*MC
1121:    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
1122:    row in a matrix providing the data that one can use to correctly preallocate the matrix.

1124:    Synopsis:
1125: #include <petscmat.h>
1126:    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)

1128:    Collective

1130:    Input Parameters:
1131: +  comm  - the communicator that will share the eventually allocated matrix
1132: .  nrows - the number of LOCAL rows in the matrix
1133: -  ncols - the number of LOCAL columns in the matrix

1135:    Output Parameters:
1136: +  dnz - the array that will be passed to the matrix preallocation routines
1137: -  onz - the other array passed to the matrix preallocation routines

1139:    Level: deprecated (since v3.19)

1141:    Notes:
1142:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1143:    the use of this routine

1145:    This is a macro that handles its own error checking, it does not return an error code.

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

1149:    Developer Note:
1150:    This is a MACRO, not a function, because it has a leading { that is closed by `PetscPreallocateFinalize()`.

1152: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1153:           `MatPreallocateSymmetricSetLocalBlock()`
1154: M*/
1155: #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
1156:   do { \
1157:     PetscInt              __nrows = (nrows), __ncols = (ncols), __rstart, __end = 0; \
1158:     PetscInt PETSC_UNUSED __start; \
1159:     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
1160:     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
1161:     __start = __end - __ncols; \
1162:     (void)__start; \
1163:     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
1164:   __rstart -= __nrows

1166: #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateBegin()", ) MatPreallocateBegin(__VA_ARGS__)

1168: /*MC
1169:    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1170:    inserted using a local number of the rows and columns

1172:    Synopsis:
1173: #include <petscmat.h>
1174:    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map, PetscInt nrows, PetscInt *rows, PetscInt ncols, PetscInt *cols, PetscInt *dnz, PetscInt *onz)

1176:    Not Collective

1178:    Input Parameters:
1179: +  map   - the row mapping from local numbering to global numbering
1180: .  nrows - the number of rows indicated
1181: .  rows  - the indices of the rows
1182: .  cmap  - the column mapping from local to global numbering
1183: .  ncols - the number of columns in the matrix
1184: .  cols  - the columns indicated
1185: .  dnz   - the array that will be passed to the matrix preallocation routines
1186: -  onz   - the other array passed to the matrix preallocation routines

1188:    Level: deprecated (since v3.19)

1190:    Notes:
1191:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1192:    the use of this routine

1194:    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines

1196: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`,
1197:           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
1198: M*/
1199: #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1200:   PetscMacroReturnStandard(PetscCall(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));)

1202: /*MC
1203:    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1204:    inserted using a local number of the rows and columns. This version removes any duplicate columns in cols

1206:    Synopsis:
1207: #include <petscmat.h>
1208:    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map, PetscInt nrows, PetscInt *rows, PetscInt ncols, PetscInt *cols, PetscInt *dnz, PetscInt *onz)

1210:    Not Collective

1212:    Input Parameters:
1213: +  map   - the row mapping from local numbering to global numbering
1214: .  nrows - the number of rows indicated
1215: .  rows  - the indices of the rows (these values are mapped to the global values)
1216: .  cmap  - the column mapping from local to global numbering
1217: .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1218: .  cols  - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1219: .  dnz   - the array that will be passed to the matrix preallocation routines
1220: -  onz   - the other array passed to the matrix preallocation routines

1222:    Level: deprecated (since v3.19)

1224:    Notes:
1225:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1226:    the use of this routine

1228:    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines

1230: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`,
1231:           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1232: M*/
1233: #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1234:   PetscMacroReturnStandard(PetscCall(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));)

1236: /*MC
1237:    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1238:    inserted using a local number of the rows and columns

1240:    Synopsis:
1241: #include <petscmat.h>
1242:    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map, PetscInt nrows, PetscInt *rows, PetscInt ncols, PetscInt *cols, PetscInt *dnz, PetscInt *onz)

1244:    Not Collective

1246:    Input Parameters:
1247: +  map   - the row mapping from local numbering to global numbering
1248: .  nrows - the number of rows indicated
1249: .  rows  - the indices of the rows
1250: .  cmap  - the column mapping from local to global numbering
1251: .  ncols - the number of columns in the matrix
1252: .  cols  - the columns indicated
1253: .  dnz   - the array that will be passed to the matrix preallocation routines
1254: -  onz   - the other array passed to the matrix preallocation routines

1256:    Level: deprecated (since v3.19)

1258:    Notes:
1259:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1260:    the use of this routine

1262:    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines

1264: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`,
1265:           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1266: M*/
1267: #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1268:   PetscMacroReturnStandard(PetscCall(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));)

1270: /*MC
1271:    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1272:    inserted using a local number of the rows and columns

1274:    Synopsis:
1275: #include <petscmat.h>
1276:    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map, PetscInt nrows, PetscInt *rows, PetscInt ncols, PetscInt *cols, PetscInt *dnz, PetscInt *onz)

1278:    Not Collective

1280:    Input Parameters:
1281: +  map   - the mapping between local numbering and global numbering
1282: .  nrows - the number of rows indicated
1283: .  rows  - the indices of the rows
1284: .  ncols - the number of columns in the matrix
1285: .  cols  - the columns indicated
1286: .  dnz   - the array that will be passed to the matrix preallocation routines
1287: -  onz   - the other array passed to the matrix preallocation routines

1289:    Level: deprecated (since v3.19)

1291:    Notes:
1292:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1293:    the use of this routine

1295:    Do not malloc or free `dnz` and `onz` that is handled internally by these routines

1297: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`,
1298:           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1299: M*/
1300: #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1301:   PetscMacroReturnStandard(PetscCall(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));)

1303: /*MC
1304:    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1305:    inserted using a local number of the rows and columns

1307:    Synopsis:
1308: #include <petscmat.h>
1309:    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows, PetscInt ncols, PetscInt *cols, PetscInt *dnz, PetscInt *onz)

1311:    Not Collective

1313:    Input Parameters:
1314: +  row   - the row
1315: .  ncols - the number of columns in the matrix
1316: -  cols  - the columns indicated

1318:    Output Parameters:
1319: +  dnz - the array that will be passed to the matrix preallocation routines
1320: -  onz - the other array passed to the matrix preallocation routines

1322:    Level: deprecated (since v3.19)

1324:    Notes:
1325:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1326:    the use of this routine

1328:    Do not malloc or free `dnz` and `onz` that is handled internally by these routines

1330:    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().

1332: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`,
1333:           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1334: M*/
1335: #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1336:   PetscMacroReturnStandard(PetscCheck((row) >= __rstart, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Trying to set preallocation for row %" PetscInt_FMT " less than first local row %" PetscInt_FMT, row, __rstart); PetscCheck((row) < __rstart + __nrows, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Trying to set preallocation for row %" PetscInt_FMT " greater than last local row %" PetscInt_FMT, row, __rstart + __nrows - 1); for (PetscInt __i = 0; __i < (nc); ++__i) { \
1337:       if ((cols)[__i] < __start || (cols)[__i] >= __end) (onz)[(row) - __rstart]++; \
1338:       else if ((dnz)[(row) - __rstart] < __ncols) (dnz)[(row) - __rstart]++; \
1339:   })

1341: /*MC
1342:    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1343:    inserted using a local number of the rows and columns

1345:    Synopsis:
1346: #include <petscmat.h>
1347:    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows, PetscInt ncols, PetscInt *cols, PetscInt *dnz, PetscInt *onz)

1349:    Not Collective

1351:    Input Parameters:
1352: +  nrows - the number of rows indicated
1353: .  rows  - the indices of the rows
1354: .  ncols - the number of columns in the matrix
1355: .  cols  - the columns indicated
1356: .  dnz   - the array that will be passed to the matrix preallocation routines
1357: -  onz   - the other array passed to the matrix preallocation routines

1359:    Level: deprecated (since v3.19)

1361:    Notes:
1362:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1363:    the use of this routine

1365:    Do not malloc or free `dnz` and `onz` that is handled internally by these routines

1367:    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().

1369: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1370:           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1371: M*/
1372: #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1373:   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < (nc); __i++) {  \
1374:       if ((cols)[__i] >= __end) (onz)[(row) - __rstart]++;              \
1375:       else if ((cols)[__i] >= (row) && (dnz)[(row) - __rstart] < __ncols) (dnz)[(row) - __rstart]++; \
1376:   })

1378: /*MC
1379:    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists

1381:    Synopsis:
1382: #include <petscmat.h>
1383:    PetscErrorCode MatPreallocateLocations(Mat A, PetscInt row, PetscInt ncols, PetscInt *cols, PetscInt *dnz, PetscInt *onz)

1385:    Not Collective

1387:    Input Parameters:
1388: +  A     - matrix
1389: .  row   - row where values exist (must be local to this process)
1390: .  ncols - number of columns
1391: .  cols  - columns with nonzeros
1392: .  dnz   - the array that will be passed to the matrix preallocation routines
1393: -  onz   - the other array passed to the matrix preallocation routines

1395:    Level: deprecated (since v3.19)

1397:    Notes:
1398:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1399:    the use of this routine

1401:    Do not malloc or free `dnz` and `onz` that is handled internally by these routines

1403:    Developer Note:
1404:    This is a MACRO, not a function, because it uses a bunch of variables private to the MatPreallocation.... routines.

1406: .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1407:           `MatPreallocateSymmetricSetLocalBlock()`
1408: M*/
1409: #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) ((A) ? MatSetValues(A, 1, &(row), ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))

1411: /*MC
1412:    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1413:    row in a matrix providing the data that one can use to correctly preallocate the matrix.

1415:    Synopsis:
1416: #include <petscmat.h>
1417:    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)

1419:    Collective

1421:    Input Parameters:
1422: +  dnz - the array that was be passed to the matrix preallocation routines
1423: -  onz - the other array passed to the matrix preallocation routines

1425:    Level: deprecated (since v3.19)

1427:    Notes:
1428:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1429:    the use of this routine

1431:    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines

1433:    Developer Note:
1434:    This is a MACRO, not a function, because it closes the { started in MatPreallocateBegin().

1436: .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1437:           `MatPreallocateSymmetricSetLocalBlock()`
1438: M*/
1439: #define MatPreallocateEnd(dnz, onz) \
1440:   PetscCall(PetscFree2(dnz, onz)); \
1441:   } \
1442:   while (0)

1444: #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateEnd()", ) MatPreallocateEnd(__VA_ARGS__)

1446: /* Routines unique to particular data structures */
1447: PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, PetscCtxRt);

1449: PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1450: PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);

1452: PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1453: PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1454: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1455: PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1456: PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1457: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscCount, PetscBool);

1459: #define MAT_SKIP_ALLOCATION -4

1461: PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1462: PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1463: PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1464: PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);

1466: PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1467: PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1468: PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1469: PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1470: PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1471: PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1472: PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1473: PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1474: PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1475: PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1476: PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1477: PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1478: PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1479: PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1480: PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);

1482: PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1483: PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1484: PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatDenseSetLDA()", ) static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
1485: {
1486:   return MatDenseSetLDA(A, lda);
1487: }
1488: PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);

1490: PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);

1492: PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1493: PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);

1495: PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1496: PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1497: /*
1498:   These routines are not usually accessed directly, rather solving is
1499:   done through the KSP and PC interfaces.
1500: */

1502: /*J
1503:    MatOrderingType - String with the name of a PETSc matrix ordering. These orderings are most commonly used
1504:    to reduce fill in sparse factorizations.

1506:    Level: beginner

1508:    Notes:
1509:    If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and instead the external factorization solver package called utilizes one
1510:    of its own.

1512:    There is no `MatOrdering` object, the ordering is obtained directly from the matrix with `MatGetOrdering()`

1514:    Developer Note:
1515:    This API should be converted to an API similar to those for `MatColoring` and `MatPartitioning`

1517: .seealso: [](ch_matrices), [](sec_graph), `MatGetFactor()`, `MatGetOrdering()`, `MatColoringType`, `MatPartitioningType`, `MatCoarsenType`, `PCFactorSetOrderingType()`
1518: J*/
1519: typedef const char *MatOrderingType;
1520: #define MATORDERINGNATURAL       "natural"
1521: #define MATORDERINGND            "nd"
1522: #define MATORDERING1WD           "1wd"
1523: #define MATORDERINGRCM           "rcm"
1524: #define MATORDERINGQMD           "qmd"
1525: #define MATORDERINGROWLENGTH     "rowlength"
1526: #define MATORDERINGWBM           "wbm"
1527: #define MATORDERINGSPECTRAL      "spectral"
1528: #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1529: #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1530: #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 */
1531: #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */

1533: PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1534: PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1535: PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1536: PETSC_EXTERN PetscFunctionList MatOrderingList;

1538: #include "petscmatcoarsen.h"

1540: PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1541: PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);

1543: PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);

1545: /*S
1546:    MatFactorShiftType - Type of numeric shift used for factorizations

1548:    Values:
1549: +  `MAT_SHIFT_NONE`              - do not shift the matrix diagonal entries
1550: .  `MAT_SHIFT_NONZERO`           - shift the entries to be non-zero
1551: .  `MAT_SHIFT_POSITIVE_DEFINITE` - shift the entries to force the factorization to be positive definite
1552: -  `MAT_SHIFT_INBLOCKS`          - only shift the factors inside the small dense diagonal blocks of the matrix, for example with `MATBAIJ`

1554:    Level: intermediate

1556: .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `PCFactorSetShiftType()`
1557: S*/
1558: typedef enum {
1559:   MAT_SHIFT_NONE,
1560:   MAT_SHIFT_NONZERO,
1561:   MAT_SHIFT_POSITIVE_DEFINITE,
1562:   MAT_SHIFT_INBLOCKS
1563: } MatFactorShiftType;
1564: PETSC_EXTERN const char *const MatFactorShiftTypes[];
1565: PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];

1567: /*S
1568:     MatFactorError - indicates what type of error was generated in a matrix factorization

1570:     Values:
1571: +   `MAT_FACTOR_NOERROR`           - there was no error during the factorization
1572: .   `MAT_FACTOR_STRUCT_ZEROPIVOT`  - there was a missing entry in a diagonal location of the matrix
1573: .   `MAT_FACTOR_NUMERIC_ZEROPIVOT` - there was a (near) zero pivot during the factorization
1574: .   `MAT_FACTOR_OUTMEMORY`         - the factorization has run out of memory
1575: -   `MAT_FACTOR_OTHER`             - some other error has occurred.

1577:     Level: intermediate

1579:     Note:
1580:     When a factorization is done in a preconditioner `PC` the error may be propagated up to a `PCFailedReason` or a `KSPConvergedReason`

1582: .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `MatFactorGetError()`, `MatFactorGetErrorZeroPivot()`, `MatFactorClearError()`,
1583:           `PCFailedReason`, `PCGetFailedReason()`, `KSPConvergedReason`
1584: S*/
1585: typedef enum {
1586:   MAT_FACTOR_NOERROR,
1587:   MAT_FACTOR_STRUCT_ZEROPIVOT,
1588:   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1589:   MAT_FACTOR_OUTMEMORY,
1590:   MAT_FACTOR_OTHER
1591: } MatFactorError;

1593: PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1594: PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1595: PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);

1597: /*S
1598:    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization

1600:    Level: developer

1602:    Note:
1603:    You can use `MatFactorInfoInitialize()` to set default values.

1605:    Fortran Note:
1606:    `MatFactorInfo` is a derived type, use e.g. `matfactorinfo%dt` to access its components.

1608: .seealso: [](ch_matrices), `Mat`, `MatInfo`, `MatGetFactor()`, `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`,
1609:           `MatICCFactorSymbolic()`, `MatICCFactor()`, `MatFactorInfoInitialize()`
1610: S*/
1611: typedef struct {
1612:   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1613:   PetscReal usedt;
1614:   PetscReal dt;            /* drop tolerance */
1615:   PetscReal dtcol;         /* tolerance for pivoting */
1616:   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1617:   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1618:   PetscReal levels;        /* ICC/ILU(levels) */
1619:   PetscReal pivotinblocks; /* BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0 factorization may be faster if do not pivot */
1620:   PetscReal zeropivot;     /* pivot is called zero if less than this */
1621:   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1622:   PetscReal shiftamount;   /* how large the shift is */
1623:   PetscBool factoronhost;  /* do factorization on host instead of device (for device matrix types) */
1624:   PetscBool solveonhost;   /* do mat solve on host with the factor (for device matrix types) */
1625: } MatFactorInfo;

1627: PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1628: PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1629: PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1630: PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1631: PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1632: PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1633: PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1634: PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1635: PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1636: PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1637: PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1638: PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1639: PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1640: PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1641: PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1642: PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1643: PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1644: PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1645: PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1646: PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1647: PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1648: PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1649: PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);

1651: /*E
1652:    MatFactorSchurStatus - Records the current state of the dense Schur complement that is maintained by a factored matrix when a user has requested its formation with `MatFactorSetSchurIS()`

1654:    Values:
1655: +   `MAT_FACTOR_SCHUR_UNFACTORED` - the Schur complement has been assembled but has not yet been factored or inverted
1656: .   `MAT_FACTOR_SCHUR_FACTORED`   - the Schur complement has been factored (for example via dense LU) and can be used to solve via `MatFactorSolveSchurComplement()`
1657: -   `MAT_FACTOR_SCHUR_INVERTED`   - the Schur complement has been explicitly inverted in place; subsequent solves multiply by the dense inverse

1659:    Level: advanced

1661: .seealso: [](ch_matrices), `Mat`, `MatFactorSetSchurIS()`, `MatFactorGetSchurComplement()`, `MatFactorRestoreSchurComplement()`,
1662:           `MatFactorInvertSchurComplement()`, `MatFactorCreateSchurComplement()`
1663: E*/
1664: typedef enum {
1665:   MAT_FACTOR_SCHUR_UNFACTORED,
1666:   MAT_FACTOR_SCHUR_FACTORED,
1667:   MAT_FACTOR_SCHUR_INVERTED
1668: } MatFactorSchurStatus;
1669: PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1670: PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1671: PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1672: PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1673: PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1674: PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1675: PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1676: PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);

1678: PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1679: /*E
1680:    MatSORType - What type of (S)SOR to perform

1682:    Values:
1683: +  `SOR_FORWARD_SWEEP`         - do a sweep from the first row of the matrix to the last
1684: .  `SOR_BACKWARD_SWEEP`        - do a sweep from the last row to the first
1685: .  `SOR_SYMMETRIC_SWEEP`       - do a sweep from the first row to the last and then back to the first
1686: .  `SOR_LOCAL_FORWARD_SWEEP`   - each MPI process does its own forward sweep with no communication
1687: .  `SOR_LOCAL_BACKWARD_SWEEP`  - each MPI process does its own backward sweep with no communication
1688: .  `SOR_LOCAL_SYMMETRIC_SWEEP` - each MPI process does its own symmetric sweep with no communication
1689: .  `SOR_ZERO_INITIAL_GUESS`    - indicates the initial solution is zero so the sweep can avoid unneeded computation
1690: .  `SOR_EISENSTAT`             - apply the Eisentat application of SOR, see `PCEISENSTAT`
1691: .  `SOR_APPLY_UPPER`           - multiply by the upper triangular portion of the matrix
1692: -  `SOR_APPLY_LOWER`           - multiply by the lower triangular portion of the matrix

1694:    Level: beginner

1696:    Note:
1697:    These may be bitwise ORd together

1699:    Developer Note:
1700:    Since `MatSORType` may be bitwise ORd together, so do not change the numerical values below

1702: .seealso: [](ch_matrices), `MatSOR()`
1703: E*/
1704: typedef enum {
1705:   SOR_FORWARD_SWEEP         = 1,
1706:   SOR_BACKWARD_SWEEP        = 2,
1707:   SOR_SYMMETRIC_SWEEP       = 3,
1708:   SOR_LOCAL_FORWARD_SWEEP   = 4,
1709:   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1710:   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1711:   SOR_ZERO_INITIAL_GUESS    = 16,
1712:   SOR_EISENSTAT             = 32,
1713:   SOR_APPLY_UPPER           = 64,
1714:   SOR_APPLY_LOWER           = 128
1715: } MatSORType;
1716: PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);

1718: /*S
1719:    MatColoring - Object for managing the coloring of matrices.

1721:    Level: beginner

1723:    Notes:
1724:    Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1725:    matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).

1727:    Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1728:    same object can also be used to efficiently convert data created by Automatic Differentiation tools to PETSc sparse matrices.

1730: .seealso: [](ch_matrices), [](sec_graph), `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`,
1731:           `MatPartitioning`, `MatColoringType`, `MatPartitioningType`, `MatOrderingType`, `MatColoringSetWeightType()`,
1732:           `MatColoringSetWeights()`, `MatCoarsenType`, `MatCoarsen`
1733: S*/
1734: typedef struct _p_MatColoring *MatColoring;

1736: /*J
1737:    MatColoringType - String with the name of a PETSc matrix coloring

1739:    Level: beginner

1741: .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatFDColoringCreate()`, `MatColoringSetType()`, `MatColoring`
1742: J*/
1743: typedef const char *MatColoringType;
1744: #define MATCOLORINGJP      "jp"
1745: #define MATCOLORINGPOWER   "power"
1746: #define MATCOLORINGNATURAL "natural"
1747: #define MATCOLORINGSL      "sl"
1748: #define MATCOLORINGLF      "lf"
1749: #define MATCOLORINGID      "id"
1750: #define MATCOLORINGGREEDY  "greedy"

1752: /*E
1753:    MatColoringWeightType - Type of weight scheme used for the coloring algorithm

1755:    Values:
1756: +  `MAT_COLORING_RANDOM`  - Random weights
1757: .  `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1758: -  `MAT_COLORING_LF`      - Last-first weighting.

1760:     Level: intermediate

1762: .seealso: [](ch_matrices), `MatColoring`, `MatColoringCreate()`, `MatColoringSetWeightType()`, `MatColoringSetWeights()`
1763: E*/
1764: typedef enum {
1765:   MAT_COLORING_WEIGHT_RANDOM,
1766:   MAT_COLORING_WEIGHT_LEXICAL,
1767:   MAT_COLORING_WEIGHT_LF,
1768:   MAT_COLORING_WEIGHT_SL
1769: } MatColoringWeightType;

1771: PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1772: PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1773: PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1774: PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1775: PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1776: PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1777: PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1778: PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1779: PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1780: PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1781: PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1782: PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1783: PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1784: PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1785: PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1786: PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1787: PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1788: PETSC_DEPRECATED_FUNCTION(3, 10, 0, "MatColoringTest()", ) static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
1789: {
1790:   return MatColoringTest(matcoloring, iscoloring);
1791: }
1792: PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);

1794: /*S
1795:    MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring

1797:    Level: beginner

1799:    Options Database Key:
1800: .  -snes_fd_coloring - cause the Jacobian needed by `SNES` to be computed via a use of this object

1802:    Note:
1803:    This object is created utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`

1805: .seealso: [](ch_matrices), `Mat`, `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1806: S*/
1807: typedef struct _p_MatFDColoring *MatFDColoring;

1809: /*S
1810:   MatFDColoringFn - Function provided to `MatFDColoringSetFunction()` that computes the function being differenced

1812:   Level: advanced

1814:   Calling Sequence:
1815: + snes - either a `SNES` object if used within `SNES` otherwise an unused parameter
1816: . in   - the location where the Jacobian is to be computed
1817: . out  - the location to put the computed function value
1818: - fctx - the function context passed into `MatFDColoringSetFunction()`

1820: .seealso: [](ch_matrices), `Mat`, `MatCreateMFFD()`, `MatMFFDSetFunction()`, `MatMFFDiFn`, `MatMFFDiBaseFn`
1821: S*/
1822: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatFDColoringFn(void *snes, Vec x, Vec y, void *fctx);

1824: PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1825: PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1826: PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1827: PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, MatFDColoringFn *, void *);
1828: PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, MatFDColoringFn **, void **);
1829: PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1830: PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1831: PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1832: PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1833: PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1834: PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1835: PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1836: PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);

1838: /*S
1839:    MatTransposeColoring - Object for computing a sparse matrix product $C = A*B^T$ via coloring

1841:    Level: developer

1843: .seealso: [](ch_matrices), `Mat`, `MatProductType`, `MatTransposeColoringCreate()`
1844: S*/
1845: typedef struct _p_MatTransposeColoring *MatTransposeColoring;

1847: PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1848: PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1849: PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1850: PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);

1852: /*S
1853:    MatPartitioning - Object for managing the partitioning of a matrix or graph

1855:    Level: beginner

1857:    Note:
1858:    There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1859:    via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)

1861:    Developer Note:
1862:    It is an extra maintenance and documentation cost to have two objects with the same functionality. `PetscPartitioner` should be removed

1864: .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`, `MatOrderingType`,
1865:           `MatCoarsenType`
1866: S*/
1867: typedef struct _p_MatPartitioning *MatPartitioning;

1869: /*J
1870:     MatPartitioningType - String with the name of a PETSc matrix partitioning

1872:    Level: beginner
1873: dm
1874: .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`, `MatColoringType`, `MatOrderingType`,
1875:           `MatCoarsenType`
1876: J*/
1877: typedef const char *MatPartitioningType;
1878: #define MATPARTITIONINGCURRENT  "current"
1879: #define MATPARTITIONINGAVERAGE  "average"
1880: #define MATPARTITIONINGSQUARE   "square"
1881: #define MATPARTITIONINGPARMETIS "parmetis"
1882: #define MATPARTITIONINGCHACO    "chaco"
1883: #define MATPARTITIONINGPARTY    "party"
1884: #define MATPARTITIONINGPTSCOTCH "ptscotch"
1885: #define MATPARTITIONINGHIERARCH "hierarch"

1887: PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1888: PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1889: PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1890: PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1891: PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1892: PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1893: PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1894: PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1895: PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1896: PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1897: PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1898: PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1899: PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1900: PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1901: PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1902: PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1903: PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1904: PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1905: PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);

1907: PETSC_EXTERN PetscErrorCode MatPartitioningParMETISSetRepartition(MatPartitioning);
1908: PETSC_EXTERN PetscErrorCode MatPartitioningParMETISSetCoarseSequential(MatPartitioning);
1909: PETSC_EXTERN PetscErrorCode MatPartitioningParMETISGetEdgeCut(MatPartitioning, PetscInt *);

1911: PETSC_DEPRECATED_FUNCTION(3, 26, 0, "MatPartitioningParMETISSetRepartition()", ) static inline PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part)
1912: {
1913:   return MatPartitioningParMETISSetRepartition(part);
1914: }
1915: PETSC_DEPRECATED_FUNCTION(3, 26, 0, "MatPartitioningParMETISSetCoarseSequential()", ) static inline PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning part)
1916: {
1917:   return MatPartitioningParMETISSetCoarseSequential(part);
1918: }
1919: PETSC_DEPRECATED_FUNCTION(3, 26, 0, "MatPartitioningParMETISGetEdgeCut()", ) static inline PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning part, PetscInt *cut)
1920: {
1921:   return MatPartitioningParMETISGetEdgeCut(part, cut);
1922: }

1924: /*E
1925:    MPChacoGlobalType - Global partitioning method used by `MATPARTITIONINGCHACO` when delegating to the Chaco library

1927:    Values:
1928: +   `MP_CHACO_MULTILEVEL` - multilevel-Kernighan--Lin style partitioning
1929: .   `MP_CHACO_SPECTRAL`   - spectral partitioning using Lanczos or RQI eigensolvers
1930: .   `MP_CHACO_LINEAR`     - linear (rank-order) initial partition
1931: .   `MP_CHACO_RANDOM`     - random initial partition
1932: -   `MP_CHACO_SCATTERED`  - scattered (round-robin) initial partition

1934:    Level: intermediate

1936: .seealso: [](ch_matrices), `MatPartitioning`, `MATPARTITIONINGCHACO`, `MatPartitioningChacoSetGlobal()`, `MatPartitioningChacoGetGlobal()`,
1937:           `MPChacoLocalType`, `MPChacoEigenType`
1938: E*/
1939: typedef enum {
1940:   MP_CHACO_MULTILEVEL = 1,
1941:   MP_CHACO_SPECTRAL   = 2,
1942:   MP_CHACO_LINEAR     = 4,
1943:   MP_CHACO_RANDOM     = 5,
1944:   MP_CHACO_SCATTERED  = 6
1945: } MPChacoGlobalType;
1946: PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1947: /*E
1948:    MPChacoLocalType - Local refinement method used by `MATPARTITIONINGCHACO` after the global partition has been chosen

1950:    Values:
1951: +   `MP_CHACO_KERNIGHAN` - apply Kernighan--Lin local refinement to improve the partition
1952: -   `MP_CHACO_NONE`      - no local refinement

1954:    Level: intermediate

1956: .seealso: [](ch_matrices), `MatPartitioning`, `MATPARTITIONINGCHACO`, `MatPartitioningChacoSetLocal()`, `MatPartitioningChacoGetLocal()`,
1957:           `MPChacoGlobalType`
1958: E*/
1959: typedef enum {
1960:   MP_CHACO_KERNIGHAN = 1,
1961:   MP_CHACO_NONE      = 2
1962: } MPChacoLocalType;
1963: PETSC_EXTERN const char *const MPChacoLocalTypes[];
1964: /*E
1965:    MPChacoEigenType - Eigensolver used by `MATPARTITIONINGCHACO` when the global partitioning method is `MP_CHACO_SPECTRAL`

1967:    Values:
1968: +   `MP_CHACO_LANCZOS` - Lanczos algorithm
1969: -   `MP_CHACO_RQI`     - Rayleigh quotient iteration

1971:    Level: intermediate

1973: .seealso: [](ch_matrices), `MatPartitioning`, `MATPARTITIONINGCHACO`, `MatPartitioningChacoSetEigenSolver()`, `MatPartitioningChacoGetEigenSolver()`,
1974:           `MPChacoGlobalType`
1975: E*/
1976: typedef enum {
1977:   MP_CHACO_LANCZOS = 0,
1978:   MP_CHACO_RQI     = 1
1979: } MPChacoEigenType;
1980: PETSC_EXTERN const char *const MPChacoEigenTypes[];

1982: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1983: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1984: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1985: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1986: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1987: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1988: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1989: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1990: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1991: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1992: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);

1994: #define MP_PARTY_OPT "opt"
1995: #define MP_PARTY_LIN "lin"
1996: #define MP_PARTY_SCA "sca"
1997: #define MP_PARTY_RAN "ran"
1998: #define MP_PARTY_GBF "gbf"
1999: #define MP_PARTY_GCF "gcf"
2000: #define MP_PARTY_BUB "bub"
2001: #define MP_PARTY_DEF "def"
2002: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
2003: #define MP_PARTY_HELPFUL_SETS  "hs"
2004: #define MP_PARTY_KERNIGHAN_LIN "kl"
2005: #define MP_PARTY_NONE          "no"
2006: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
2007: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
2008: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
2009: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);

2011: /*E
2012:    MPPTScotchStrategyType - Pre-defined strategy used by `MATPARTITIONINGPTSCOTCH` when delegating to the PT-Scotch library

2014:    Values:
2015: +   `MP_PTSCOTCH_DEFAULT`     - the default PT-Scotch strategy
2016: .   `MP_PTSCOTCH_QUALITY`     - focus on partition quality at the expense of time
2017: .   `MP_PTSCOTCH_SPEED`       - focus on time to compute the partition
2018: .   `MP_PTSCOTCH_BALANCE`     - favor load balance
2019: .   `MP_PTSCOTCH_SAFETY`      - use the most reliable internal heuristics
2020: -   `MP_PTSCOTCH_SCALABILITY` - favor scalability at large process counts

2022:    Level: intermediate

2024: .seealso: [](ch_matrices), `MatPartitioning`, `MATPARTITIONINGPTSCOTCH`, `MatPartitioningPTScotchSetStrategy()`, `MatPartitioningPTScotchGetStrategy()`
2025: E*/
2026: typedef enum {
2027:   MP_PTSCOTCH_DEFAULT,
2028:   MP_PTSCOTCH_QUALITY,
2029:   MP_PTSCOTCH_SPEED,
2030:   MP_PTSCOTCH_BALANCE,
2031:   MP_PTSCOTCH_SAFETY,
2032:   MP_PTSCOTCH_SCALABILITY
2033: } MPPTScotchStrategyType;
2034: PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];

2036: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
2037: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
2038: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
2039: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);

2041: /*
2042:  * hierarchical partitioning
2043:  */
2044: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
2045: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
2046: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
2047: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);

2049: /*J
2050:   MatMeshToCellGraphType - String with the name of registered algorithm that computes a cell graph from a mesh (graph containing
2051:   the coupling of vertices) representation.

2053:   Options Database Key:
2054: . -mat_mesh_to_cell_graph_type (parmetis|metis) - the conversion package to use; default is ParMETIS if available, otherwise METIS

2056:   Level: beginner

2058: .seealso: `Mat`, `MatMeshToCellGraph()`, `MatMeshToCellGraphRegister()`
2059: J*/
2060: typedef const char *MatMeshToCellGraphType;
2061: #define MATMESHTOCELLGRAPHMETIS    "metis"
2062: #define MATMESHTOCELLGRAPHPARMETIS "parmetis"

2064: PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);
2065: PETSC_EXTERN PetscErrorCode MatMeshToCellGraphRegister(const char[], PetscErrorCode (*)(Mat, PetscInt, Mat *));

2067: /*E
2068:    MatOperation - Identifies one of the operations stored in a `Mat`'s function table, for example `MATOP_MULT` or `MATOP_LUFACTOR`

2070:    Level: developer

2072:    Notes:
2073:    Use `MatSetOperation()` to install a custom implementation of a given operation on a `Mat` (typically a `MATSHELL`), `MatGetOperation()` to retrieve the currently installed implementation, and `MatHasOperation()` to test whether one is installed.

2075:    The numeric values are part of the binary interface used by the petsc4py bindings; if any of these enum values are changed, the `dMatOps` dictionary in `src/binding/petsc4py/src/petsc4py/PETSc/libpetsc4py.pyx` must be updated to match.

2077: .seealso: [](ch_matrices), `Mat`, `MATSHELL`, `MatSetOperation()`, `MatGetOperation()`, `MatHasOperation()`,
2078:           `MatShellSetOperation()`, `MatShellGetOperation()`
2079: E*/
2080: typedef enum {
2081:   MATOP_SET_VALUES                = 0,
2082:   MATOP_GET_ROW                   = 1,
2083:   MATOP_RESTORE_ROW               = 2,
2084:   MATOP_MULT                      = 3,
2085:   MATOP_MULT_ADD                  = 4,
2086:   MATOP_MULT_TRANSPOSE            = 5,
2087:   MATOP_MULT_TRANSPOSE_ADD        = 6,
2088:   MATOP_SOLVE                     = 7,
2089:   MATOP_SOLVE_ADD                 = 8,
2090:   MATOP_SOLVE_TRANSPOSE           = 9,
2091:   MATOP_SOLVE_TRANSPOSE_ADD       = 10,
2092:   MATOP_LUFACTOR                  = 11,
2093:   MATOP_CHOLESKYFACTOR            = 12,
2094:   MATOP_SOR                       = 13,
2095:   MATOP_TRANSPOSE                 = 14,
2096:   MATOP_GETINFO                   = 15,
2097:   MATOP_EQUAL                     = 16,
2098:   MATOP_GET_DIAGONAL              = 17,
2099:   MATOP_DIAGONAL_SCALE            = 18,
2100:   MATOP_NORM                      = 19,
2101:   MATOP_ASSEMBLY_BEGIN            = 20,
2102:   MATOP_ASSEMBLY_END              = 21,
2103:   MATOP_SET_OPTION                = 22,
2104:   MATOP_ZERO_ENTRIES              = 23,
2105:   MATOP_ZERO_ROWS                 = 24,
2106:   MATOP_LUFACTOR_SYMBOLIC         = 25,
2107:   MATOP_LUFACTOR_NUMERIC          = 26,
2108:   MATOP_CHOLESKY_FACTOR_SYMBOLIC  = 27,
2109:   MATOP_CHOLESKY_FACTOR_NUMERIC   = 28,
2110:   MATOP_SETUP                     = 29,
2111:   MATOP_ILUFACTOR_SYMBOLIC        = 30,
2112:   MATOP_ICCFACTOR_SYMBOLIC        = 31,
2113:   MATOP_GET_DIAGONAL_BLOCK        = 32,
2114:   MATOP_SET_INF                   = 33,
2115:   MATOP_DUPLICATE                 = 34,
2116:   MATOP_FORWARD_SOLVE             = 35,
2117:   MATOP_BACKWARD_SOLVE            = 36,
2118:   MATOP_ILUFACTOR                 = 37,
2119:   MATOP_ICCFACTOR                 = 38,
2120:   MATOP_AXPY                      = 39,
2121:   MATOP_CREATE_SUBMATRICES        = 40,
2122:   MATOP_INCREASE_OVERLAP          = 41,
2123:   MATOP_GET_VALUES                = 42,
2124:   MATOP_COPY                      = 43,
2125:   MATOP_GET_ROW_MAX               = 44,
2126:   MATOP_SCALE                     = 45,
2127:   MATOP_SHIFT                     = 46,
2128:   MATOP_DIAGONAL_SET              = 47,
2129:   MATOP_ZERO_ROWS_COLUMNS         = 48,
2130:   MATOP_SET_RANDOM                = 49,
2131:   MATOP_GET_ROW_IJ                = 50,
2132:   MATOP_RESTORE_ROW_IJ            = 51,
2133:   MATOP_GET_COLUMN_IJ             = 52,
2134:   MATOP_RESTORE_COLUMN_IJ         = 53,
2135:   MATOP_FDCOLORING_CREATE         = 54,
2136:   MATOP_COLORING_PATCH            = 55,
2137:   MATOP_SET_UNFACTORED            = 56,
2138:   MATOP_PERMUTE                   = 57,
2139:   MATOP_SET_VALUES_BLOCKED        = 58,
2140:   MATOP_CREATE_SUBMATRIX          = 59,
2141:   MATOP_DESTROY                   = 60,
2142:   MATOP_VIEW                      = 61,
2143:   MATOP_CONVERT_FROM              = 62,
2144:   MATOP_MATMAT_MULT_SYMBOLIC      = 63,
2145:   MATOP_MATMAT_MULT_NUMERIC       = 64,
2146:   MATOP_SET_LOCAL_TO_GLOBAL_MAP   = 65,
2147:   MATOP_SET_VALUES_LOCAL          = 66,
2148:   MATOP_ZERO_ROWS_LOCAL           = 67,
2149:   MATOP_GET_ROW_MAX_ABS           = 68,
2150:   MATOP_GET_ROW_MIN_ABS           = 69,
2151:   MATOP_CONVERT                   = 70,
2152:   MATOP_HAS_OPERATION             = 71,
2153:   MATOP_FD_COLORING_APPLY         = 72,
2154:   MATOP_SET_FROM_OPTIONS          = 73,
2155:   MATOP_FIND_ZERO_DIAGONALS       = 74,
2156:   MATOP_MULT_MULTIPLE             = 75,
2157:   MATOP_SOLVE_MULTIPLE            = 76,
2158:   MATOP_GET_INERTIA               = 77,
2159:   MATOP_LOAD                      = 78,
2160:   MATOP_IS_SYMMETRIC              = 79,
2161:   MATOP_IS_HERMITIAN              = 80,
2162:   MATOP_IS_STRUCTURALLY_SYMMETRIC = 81,
2163:   MATOP_SET_VALUES_BLOCKEDLOCAL   = 82,
2164:   MATOP_CREATE_VECS               = 83,
2165:   MATOP_MAT_MULT_SYMBOLIC         = 84,
2166:   MATOP_MAT_MULT_NUMERIC          = 85,
2167:   MATOP_PTAP_NUMERIC              = 86,
2168:   MATOP_MAT_TRANSPOSE_MULT_SYMBO  = 87,
2169:   MATOP_MAT_TRANSPOSE_MULT_NUMER  = 88,
2170:   MATOP_BIND_TO_CPU               = 89,
2171:   MATOP_PRODUCTSETFROMOPTIONS     = 90,
2172:   MATOP_PRODUCTSYMBOLIC           = 91,
2173:   MATOP_PRODUCTNUMERIC            = 92,
2174:   MATOP_CONJUGATE                 = 93,
2175:   MATOP_VIEW_NATIVE               = 94,
2176:   MATOP_SET_VALUES_ROW            = 95,
2177:   MATOP_REAL_PART                 = 96,
2178:   MATOP_IMAGINARY_PART            = 97,
2179:   MATOP_GET_ROW_UPPER_TRIANGULAR  = 98,
2180:   MATOP_RESTORE_ROW_UPPER_TRIANG  = 99,
2181:   MATOP_MAT_SOLVE                 = 100,
2182:   MATOP_MAT_SOLVE_TRANSPOSE       = 101,
2183:   MATOP_GET_ROW_MIN               = 102,
2184:   MATOP_GET_COLUMN_VECTOR         = 103,
2185:   MATOP_GET_SEQ_NONZERO_STRUCTUR  = 104,
2186:   MATOP_CREATE                    = 105,
2187:   MATOP_GET_GHOSTS                = 106,
2188:   MATOP_GET_LOCAL_SUB_MATRIX      = 107,
2189:   MATOP_RESTORE_LOCALSUB_MATRIX   = 108,
2190:   MATOP_MULT_DIAGONAL_BLOCK       = 109,
2191:   MATOP_HERMITIAN_TRANSPOSE       = 110,
2192:   MATOP_MULT_HERMITIAN_TRANSPOSE  = 111,
2193:   MATOP_MULT_HERMITIAN_TRANS_ADD  = 112,
2194:   MATOP_GET_MULTI_PROC_BLOCK      = 113,
2195:   MATOP_FIND_NONZERO_ROWS         = 114,
2196:   MATOP_GET_COLUMN_NORMS          = 115,
2197:   MATOP_INVERT_BLOCK_DIAGONAL     = 116,
2198:   MATOP_INVERT_VBLOCK_DIAGONAL    = 117,
2199:   MATOP_CREATE_SUB_MATRICES_MPI   = 118,
2200:   MATOP_TRANSPOSE_MAT_MULT_SYMBO  = 119,
2201:   MATOP_TRANSPOSE_MAT_MULT_NUMER  = 120,
2202:   MATOP_TRANSPOSE_COLORING_CREAT  = 121,
2203:   MATOP_TRANS_COLORING_APPLY_SPT  = 122,
2204:   MATOP_TRANS_COLORING_APPLY_DEN  = 123,
2205:   MATOP_RART_NUMERIC              = 124,
2206:   MATOP_SET_BLOCK_SIZES           = 125,
2207:   MATOP_RESIDUAL                  = 126,
2208:   MATOP_FDCOLORING_SETUP          = 127,
2209:   MATOP_FIND_OFFBLOCK_ENTRIES     = 128,
2210:   MATOP_MPICONCATENATESEQ         = 129,
2211:   MATOP_DESTROYSUBMATRICES        = 130,
2212:   MATOP_MAT_TRANSPOSE_SOLVE       = 131,
2213:   MATOP_GET_VALUES_LOCAL          = 132,
2214:   MATOP_CREATE_GRAPH              = 133,
2215:   MATOP_TRANSPOSE_SYMBOLIC        = 134,
2216:   MATOP_ELIMINATE_ZEROS           = 135,
2217:   MATOP_GET_ROW_SUM_ABS           = 136,
2218:   MATOP_GET_FACTOR                = 137,
2219:   MATOP_GET_BLOCK_DIAGONAL        = 138, /* NOTE: caller of the two op functions owns the returned matrix */
2220:   MATOP_GET_VBLOCK_DIAGONAL       = 139, /* and need to destroy it after use. */
2221:   MATOP_COPY_HASH_TO_XAIJ         = 140,
2222:   MATOP_GET_CURRENT_MEM_TYPE      = 141,
2223:   MATOP_ZERO_ROWS_COLUMNS_LOCAL   = 142,
2224:   MATOP_ADOT                      = 143,
2225:   MATOP_ANORM                     = 144,
2226:   MATOP_ADOT_LOCAL                = 145,
2227:   MATOP_ANORM_LOCAL               = 146,
2228:   MATOP_GET_ORDERING              = 147
2229: } MatOperation;

2231: PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, PetscErrorCodeFn *);
2232: PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, PetscErrorCodeFn **);
2233: PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
2234: PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
2235: PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatProductClear()", ) static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
2236: {
2237:   return MatProductClear(A);
2238: }
2239: PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, PetscErrorCodeFn *);
2240: PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, PetscErrorCodeFn **);
2241: PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, PetscCtx);
2242: PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscCtxDestroyFn *);
2243: PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
2244: PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2245: PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2246: PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
2247: PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscCtxDestroyFn *, MatType, MatType);
2248: PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);

2250: /*
2251:    Codes for matrices stored on disk. By default they are
2252:    stored in a universal format. By changing the format with
2253:    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
2254:    be stored in a way natural for the matrix, for example dense matrices
2255:    would be stored as dense. Matrices stored this way may only be
2256:    read into matrices of the same type.
2257: */
2258: #define MATRIX_BINARY_FORMAT_DENSE -1

2260: PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);

2262: PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
2263: PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
2264: PETSC_EXTERN PetscErrorCode MatISSetAllowRepeated(Mat, PetscBool);
2265: PETSC_EXTERN PetscErrorCode MatISGetAllowRepeated(Mat, PetscBool *);
2266: PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
2267: PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
2268: PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
2269: PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
2270: PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
2271: PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);

2273: /*S
2274:    MatNullSpace - Object that removes a null space from a vector, i.e.
2275:                   orthogonalizes the vector to a subspace

2277:    Level: advanced

2279: .seealso: [](ch_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2280: S*/
2281: typedef struct _p_MatNullSpace *MatNullSpace;

2283: /*S
2284:   MatNullSpaceRemoveFn - Function provided to `MatNullSpaceSetFunction()` that removes the null space from a vector

2286:   Level: advanced

2288:   Calling Sequence:
2289: + nsp - the `MatNullSpace` object
2290: . x   - the vector from which to remove the null space
2291: - ctx - [optional] user-defined function context provided with `MatNullSpaceSetFunction()`

2293: .seealso: [](ch_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2294: S*/
2295: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatNullSpaceRemoveFn(MatNullSpace nsp, Vec x, PetscCtx ctx);

2297: PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
2298: PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, MatNullSpaceRemoveFn *, void *);
2299: PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
2300: PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
2301: PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
2302: PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
2303: PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
2304: PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
2305: PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
2306: PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
2307: PETSC_EXTERN PetscErrorCode MatGetNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2308: PETSC_EXTERN PetscErrorCode MatRestoreNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2309: PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
2310: PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
2311: PETSC_EXTERN PetscErrorCode MatNullSpaceLoad(PetscViewer, MatNullSpace *);
2312: PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
2313: PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);

2315: PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
2316: PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);

2318: PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
2319: PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
2320: PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);

2322: PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
2323: PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);

2325: PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperator()", ) static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
2326: {
2327:   return MatComputeOperator(A, PETSC_NULLPTR, B);
2328: }
2329: PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperatorTranspose()", ) static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
2330: {
2331:   return MatComputeOperatorTranspose(A, PETSC_NULLPTR, B);
2332: }

2334: PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
2335: PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
2336: PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
2337: PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2338: PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
2339: PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
2340: PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
2341: PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2342: PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
2343: PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
2344: PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
2345: PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
2346: PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
2347: PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);

2349: PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);

2351: PETSC_EXTERN PetscErrorCode MatMFFDInitializePackage(void);
2352: PETSC_EXTERN PetscErrorCode MatMFFDFinalizePackage(void);

2354: /*S
2355:   MatMFFDFn - Function provided to `MatMFFDSetFunction()` that computes the function being differenced

2357:   Level: advanced

2359:   Calling Sequence:
2360: + ctx - [optional] user-defined function context provided with `MatMFFDSetFunction()`
2361: . x   - input vector
2362: - y   - output vector

2364: .seealso: [](ch_matrices), `Mat`, `MatCreateMFFD()`, `MatMFFDSetFunction()`, `MatMFFDiFn`, `MatMFFDiBaseFn`
2365: S*/
2366: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatMFFDFn(PetscCtx ctx, Vec x, Vec y);

2368: /*S
2369:   MatMFFDiFn - Function provided to `MatMFFDSetFunctioni()` that computes the function being differenced at a single point

2371:   Level: advanced

2373:   Calling Sequence:
2374: + ctx    - [optional] user-defined function context provided with `MatMFFDSetFunction()`
2375: . i      - the component of the vector to compute
2376: . x      - input vector
2377: - result - the value of the function at that component (output)

2379: .seealso: [](ch_matrices), `Mat`, `MatCreateMFFD()`, `MatMFFDSetFunction()`, `MatMFFDFn`, `MatMFFDiBaseFn`
2380: S*/
2381: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatMFFDiFn(PetscCtx ctx, PetscInt i, Vec x, PetscScalar *result);

2383: /*S
2384:   MatMFFDiBaseFn - Function provided to `MatMFFDSetFunctioniBase()` that computes the base of the function evaluations
2385:   that will be used for differencing

2387:   Level: advanced

2389:   Calling Sequence:
2390: + ctx - [optional] user-defined function context provided with `MatMFFDSetFunction()`
2391: - x   - input base vector

2393: .seealso: [](ch_matrices), `Mat`, `MatCreateMFFD()`, `MatMFFDSetFunction()`, `MatMFFDSetFunctioniBase()`, `MatMFFDFn`, `MatMFFDiFn`
2394: S*/
2395: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatMFFDiBaseFn(PetscCtx ctx, Vec x);

2397: /*S
2398:   MatMFFDCheckhFn - Function provided to `MatMFFDSetCheckh()` that checks and possibly adjusts the value of `h` to ensure some property.
2399:   that will be used for differencing

2401:   Level: advanced

2403:   Calling Sequence:
2404: + ctx - [optional] user-defined function context provided with `MatMFFDSetCheckh()`
2405: . x   - input base vector
2406: . y   - input step vector that the product is computed with
2407: - h   - input tentative step, output possibly adjusted step

2409:   Note:
2410:   `MatMFFDCheckPositivity()` is one such function

2412: .seealso: [](ch_matrices), `Mat`, `MatCreateMFFD()`, `MatMFFDSetCheckh()`, `MatMFFDCheckPositivity()`
2413: S*/
2414: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatMFFDCheckhFn(PetscCtx ctx, Vec x, Vec y, PetscScalar *h);

2416: PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2417: PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
2418: PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, MatMFFDFn *, void *);
2419: PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, MatMFFDiFn *);
2420: PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, MatMFFDiBaseFn *);
2421: PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
2422: PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
2423: PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
2424: PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
2425: PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
2426: PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
2427: PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
2428: PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, MatMFFDCheckhFn *, void *);

2430: /*S
2431:     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2432:               Jacobian vector products

2434:     Level: developer

2436:     Notes:
2437:     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure

2439:      MatMFFD*() methods actually take the `Mat` as their first argument. Not a `MatMFFD` data structure

2441:     This functionality is often obtained using `MatCreateSNESMF()` or with `SNES` solvers using `-snes_mf` or `-snes_mf_operator`

2443: .seealso: [](ch_matrices), `MatMFFDType`, `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`,
2444:           `MatCreateSNESMF()`, `SNES`, `-snes_mf`, `-snes_mf_operator`
2445: S*/
2446: typedef struct _p_MatMFFD *MatMFFD;

2448: /*J
2449:    MatMFFDType - algorithm used to compute the `h` used in computing matrix-vector products via differencing of a function

2451:    Values:
2452: +   `MATMFFD_DS` - an algorithm described by Dennis and Schnabel {cite}`dennis:83`
2453: -   `MATMFFD_WP` - the Walker-Pernice {cite}`pw98` strategy.

2455:    Level: beginner

2457: .seealso: [](ch_matrices), `MatMFFDSetType()`, `MatMFFDRegister()`, `MatMFFDSetFunction()`, `MatCreateMFFD()`
2458: J*/
2459: typedef const char *MatMFFDType;
2460: #define MATMFFD_DS "ds"
2461: #define MATMFFD_WP "wp"

2463: PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2464: PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));

2466: PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2467: PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);

2469: PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);

2471: PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2472: PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);

2474: #if PetscDefined(HAVE_H2OPUS)
2475: /*S
2476:   MatH2OpusKernelFn - Function type for the user-supplied kernel callback used by `MATH2OPUS` (see `MatCreateH2OpusFromKernel()`)
2477:   to evaluate the dense matrix entries on demand

2479:   Synopsis:
2480: #include <petscmat.h>
2481:   PetscScalar MatH2OpusKernelFn(PetscInt spacedim, PetscReal target[], PetscReal source[], PetscCtx ctx)

2483:   Calling Sequence:
2484: + spacedim - spatial dimension, either 1, 2, or 3
2485: . target   - spatial coordinate of the target point, its length is `spacedim`
2486: . source   - spatial coordinate of the source point, its length is `spacedim`
2487: - ctx      - the optional application context passed with `MatCreateH2OpusFromKernel()`

2489:   Level: intermediate

2491:   Note:
2492:   Returns the matrix entry coupling the target and source points

2494: .seealso: `Mat`, `MATH2OPUS`, `MATHTOOL`, `MatCreateH2OpusFromKernel()`
2495: S*/
2496: PETSC_EXTERN_TYPEDEF typedef PetscScalar MatH2OpusKernelFn(PetscInt spacedim, PetscReal target[], PetscReal source[], PetscCtx ctx);

2498: PETSC_EXTERN_TYPEDEF typedef MatH2OpusKernelFn *MatH2OpusKernel PETSC_DEPRECATED_TYPEDEF(3, 26, 0, "MatH2OpusKernelFn*", );

2500: PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernelFn *, PetscCtx, PetscReal, PetscInt, PetscInt, Mat *);
2501: PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2502: PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2503: PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
2504: PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat, PetscReal);
2505: PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat, PetscBool);
2506: PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat, PetscBool *);
2507: PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat, IS *);
2508: PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2509: PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2510: #endif

2512: /*S
2513:   MatHtoolKernelFn - Function type for the user-supplied kernel callback used by `MATHTOOL` (`MatCreateHtoolFromKernel()`, `MatHtoolSetKernel()`) to evaluate the dense matrix entries on demand

2515:   Synopsis:
2516: #include <petscmat.h>
2517:   PetscErrorCode MatHtoolKernelFn(PetscInt sdim, PetscInt M, PetscInt N, const PetscInt *J, const PetscInt *K, PetscScalar *ptr, void *ctx)

2519:   Calling Sequence:
2520: + sdim - the spatial dimension of the source/target geometries
2521: . M    - the number of target points
2522: . N    - the number of source points
2523: . J    - array of `M` target point indices into the user's target coordinate array
2524: . K    - array of `N` source point indices into the user's source coordinate array
2525: . ptr  - column-major output buffer of length `M*N` to fill with kernel values
2526: - ctx  - the optional application context passed at registration

2528:   Level: intermediate

2530: .seealso: `Mat`, `MATHTOOL`, `MatCreateHtoolFromKernel()`, `MatHtoolSetKernel()`
2531: S*/
2532: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode    MatHtoolKernelFn(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2533: PETSC_EXTERN_TYPEDEF typedef MatHtoolKernelFn *MatHtoolKernel PETSC_DEPRECATED_TYPEDEF(3, 26, 0, "MatHtoolKernelFn*", );

2535: PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernelFn *, void *, Mat *);
2536: PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat, MatHtoolKernelFn *, void *);
2537: PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat, IS *);
2538: PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat, IS *);
2539: PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat, PetscBool);
2540: PETSC_EXTERN PetscErrorCode MatHtoolUseRecompression(Mat, PetscBool);
2541: PETSC_EXTERN PetscErrorCode MatHtoolGetEpsilon(Mat, PetscReal *);
2542: PETSC_EXTERN PetscErrorCode MatHtoolSetEpsilon(Mat, PetscReal);
2543: PETSC_EXTERN PetscErrorCode MatHtoolGetEta(Mat, PetscReal *);
2544: PETSC_EXTERN PetscErrorCode MatHtoolSetEta(Mat, PetscReal);
2545: PETSC_EXTERN PetscErrorCode MatHtoolGetMaxClusterLeafSize(Mat, PetscInt *);
2546: PETSC_EXTERN PetscErrorCode MatHtoolSetMaxClusterLeafSize(Mat, PetscInt);
2547: PETSC_EXTERN PetscErrorCode MatHtoolGetMinTargetDepth(Mat, PetscInt *);
2548: PETSC_EXTERN PetscErrorCode MatHtoolSetMinTargetDepth(Mat, PetscInt);
2549: PETSC_EXTERN PetscErrorCode MatHtoolGetMinSourceDepth(Mat, PetscInt *);
2550: PETSC_EXTERN PetscErrorCode MatHtoolSetMinSourceDepth(Mat, PetscInt);
2551: PETSC_EXTERN PetscErrorCode MatHtoolGetBlockTreeConsistency(Mat, PetscBool *);
2552: PETSC_EXTERN PetscErrorCode MatHtoolSetBlockTreeConsistency(Mat, PetscBool);

2554: /*E
2555:    MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`

2557:    Values:
2558: +  `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2559: .  `MAT_HTOOL_COMPRESSOR_FULL_ACA`                 - full adaptive cross approximation
2560: -  `MAT_HTOOL_COMPRESSOR_SVD`                      - singular value decomposition

2562:    Level: intermediate

2564: .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`, `MatHtoolGetCompressorType()`, `MatHtoolSetCompressorType()`
2565: E*/
2566: typedef enum {
2567:   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2568:   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2569:   MAT_HTOOL_COMPRESSOR_SVD
2570: } MatHtoolCompressorType;

2572: /*E
2573:    MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`

2575:    Values:
2576: +  `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default)    - axis computed via principle component analysis, split uniformly
2577: .  `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC`            - axis computed via principle component analysis, split barycentrically
2578: .  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR`   - axis along the largest extent of the bounding box, split uniformly
2579: -  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically

2581:    Level: intermediate

2583:    Note:
2584:    Higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types

2586: .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`, `MatHtoolGetClusteringType()`, `MatHtoolSetClusteringType()`
2587: E*/
2588: typedef enum {
2589:   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2590:   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2591:   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2592:   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2593: } MatHtoolClusteringType;
2594: PETSC_EXTERN PetscErrorCode MatHtoolGetCompressorType(Mat, MatHtoolCompressorType *);
2595: PETSC_EXTERN PetscErrorCode MatHtoolSetCompressorType(Mat, MatHtoolCompressorType);
2596: PETSC_EXTERN PetscErrorCode MatHtoolGetClusteringType(Mat, MatHtoolClusteringType *);
2597: PETSC_EXTERN PetscErrorCode MatHtoolSetClusteringType(Mat, MatHtoolClusteringType);

2599: PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2600: PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2601: PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2602: PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);

2604: PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2605: PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2606: PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2607: PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2608: PETSC_EXTERN PetscErrorCode MatMumpsGetNullPivots(Mat, PetscInt *, PetscInt **);
2609: PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2610: PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2611: PETSC_EXTERN PetscErrorCode MatMumpsSetBlk(Mat, PetscInt, const PetscInt[], const PetscInt[]);

2613: PETSC_EXTERN PetscErrorCode MatMumpsSetOocTmpDir(Mat, const char *);
2614: PETSC_EXTERN PetscErrorCode MatMumpsGetOocTmpDir(Mat, const char *[]);

2616: #if PetscDefined(HAVE_MKL_PARDISO)
2617: PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2618: #endif

2620: #if PetscDefined(HAVE_MKL_CPARDISO)
2621: PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2622: #endif

2624: #if PetscDefined(HAVE_SUPERLU)
2625: PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2626: #endif

2628: #if PetscDefined(HAVE_SUPERLU_DIST)
2629: PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2630: #endif

2632: /*E
2633:     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `MATSOLVERSTRUMPACK`

2635:     Values:
2636: +  `MAT_STRUMPACK_NATURAL`   - use the current ordering
2637: .  `MAT_STRUMPACK_METIS`     - use MeTis to compute an ordering
2638: .  `MAT_STRUMPACK_PARMETIS`  - use ParMeTis to compute an ordering
2639: .  `MAT_STRUMPACK_SCOTCH`    - use Scotch to compute an ordering
2640: .  `MAT_STRUMPACK_PTSCOTCH`  - use parallel Scotch to compute an ordering
2641: .  `MAT_STRUMPACK_RCM`       - use an RCM ordering
2642: .  `MAT_STRUMPACK_GEOMETRIC` - use a geometric ordering (needs mesh info from user)
2643: .  `MAT_STRUMPACK_AMD`       - approximate minimum degree
2644: .  `MAT_STRUMPACK_MMD`       - multiple minimum degree
2645: .  `MAT_STRUMPACK_AND`       - approximate nested dissection
2646: .  `MAT_STRUMPACK_MLF`       - minimum local fill
2647: -  `MAT_STRUMPACK_SPECTRAL`  - spectral nested dissection

2649:     Level: intermediate

2651:     Developer Note:
2652:     Should be called `MatSTRUMPACKReorderingType`

2654: .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetReordering()`
2655: E*/
2656: typedef enum {
2657:   MAT_STRUMPACK_NATURAL,
2658:   MAT_STRUMPACK_METIS,
2659:   MAT_STRUMPACK_PARMETIS,
2660:   MAT_STRUMPACK_SCOTCH,
2661:   MAT_STRUMPACK_PTSCOTCH,
2662:   MAT_STRUMPACK_RCM,
2663:   MAT_STRUMPACK_GEOMETRIC,
2664:   MAT_STRUMPACK_AMD,
2665:   MAT_STRUMPACK_MMD,
2666:   MAT_STRUMPACK_AND,
2667:   MAT_STRUMPACK_MLF,
2668:   MAT_STRUMPACK_SPECTRAL
2669: } MatSTRUMPACKReordering;
2670: PETSC_EXTERN const char *const MatSTRUMPACKReorderingTypes[];

2672: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2673: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetReordering(Mat, MatSTRUMPACKReordering *);
2674: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricNxyz(Mat, PetscInt, PetscInt, PetscInt);
2675: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricComponents(Mat, PetscInt);
2676: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricWidth(Mat, PetscInt);
2677: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2678: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetColPerm(Mat, PetscBool *);
2679: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGPU(Mat, PetscBool);
2680: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetGPU(Mat, PetscBool *);

2682: /*E
2683:     MatSTRUMPACKCompressionType - Compression used in the approximate sparse factorization solver `MATSOLVERSTRUMPACK`

2685:     Values:
2686: +  `MAT_STRUMPACK_COMPRESSION_TYPE_NONE`          - no compression, direct solver
2687: .  `MAT_STRUMPACK_COMPRESSION_TYPE_HSS`           - hierarchically semi-separable
2688: .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR`           - block low rank
2689: .  `MAT_STRUMPACK_COMPRESSION_TYPE_HODLR`         - hierarchically off-diagonal low rank (requires ButterflyPACK support, configure with `--download-butterflypack`)
2690: .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR`     - hybrid of BLR and HODLR (requires ButterflyPACK support, configure with `--download-butterflypack`)
2691: .  `MAT_STRUMPACK_COMPRESSION_TYPE_ZFP_BLR_HODLR` - hybrid of lossy (ZFP), BLR and HODLR (requires ButterflyPACK and ZFP support, configure with `--download-butterflypack --download-zfp`)
2692: .  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS`      - lossless compression (requires ZFP support, configure with `--download-zfp`)
2693: -  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY`         - lossy compression (requires ZFP support, configure with `--download-zfp`)

2695:     Level: intermediate

2697: .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetCompression()`
2698: E*/
2699: typedef enum {
2700:   MAT_STRUMPACK_COMPRESSION_TYPE_NONE,
2701:   MAT_STRUMPACK_COMPRESSION_TYPE_HSS,
2702:   MAT_STRUMPACK_COMPRESSION_TYPE_BLR,
2703:   MAT_STRUMPACK_COMPRESSION_TYPE_HODLR,
2704:   MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR,
2705:   MAT_STRUMPACK_COMPRESSION_TYPE_ZFP_BLR_HODLR,
2706:   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS,
2707:   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY
2708: } MatSTRUMPACKCompressionType;
2709: PETSC_EXTERN const char *const MatSTRUMPACKCompressionTypes[];

2711: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompression(Mat, MatSTRUMPACKCompressionType);
2712: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompression(Mat, MatSTRUMPACKCompressionType *);
2713: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompRelTol(Mat, PetscReal);
2714: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompRelTol(Mat, PetscReal *);
2715: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompAbsTol(Mat, PetscReal);
2716: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompAbsTol(Mat, PetscReal *);
2717: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompMinSepSize(Mat, PetscInt);
2718: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompMinSepSize(Mat, PetscInt *);
2719: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLeafSize(Mat, PetscInt);
2720: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLeafSize(Mat, PetscInt *);
2721: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLossyPrecision(Mat, PetscInt);
2722: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLossyPrecision(Mat, PetscInt *);
2723: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompButterflyLevels(Mat, PetscInt);
2724: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompButterflyLevels(Mat, PetscInt *);

2726: PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2727: PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2728: PETSC_DEPRECATED_FUNCTION(3, 13, 0, "MatBindToCPU()", ) static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2729: {
2730:   return MatBindToCPU(A, flg);
2731: }
2732: PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2733: PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);

2735: #if PetscDefined(HAVE_CUDA)
2736: /*E
2737:     MatCUSPARSEStorageFormat - indicates the storage format for `MATAIJCUSPARSE` (GPU)
2738:     matrices.

2740:     Values:
2741: +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2742: .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2743: -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).

2745:     Level: intermediate

2747: .seealso: [](ch_matrices), `MATAIJCUSPARSE`, `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2748: E*/

2750: typedef enum {
2751:   MAT_CUSPARSE_CSR,
2752:   MAT_CUSPARSE_ELL,
2753:   MAT_CUSPARSE_HYB
2754: } MatCUSPARSEStorageFormat;

2756: /* these will be strings associated with enumerated type defined above */
2757: PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];

2759: /*E
2760:     MatCUSPARSEFormatOperation - indicates the operation of `MATAIJCUSPARSE` (GPU)
2761:     matrices whose operation should use a particular storage format.

2763:     Values:
2764: +   `MAT_CUSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2765: .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2766: .   `MAT_CUSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2767: -   `MAT_CUSPARSE_ALL`          - sets the storage format for all `MATAIJCUSPARSE` (GPU) matrices

2769:     Level: intermediate

2771: .seealso: [](ch_matrices), `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2772: E*/
2773: typedef enum {
2774:   MAT_CUSPARSE_MULT_DIAG,
2775:   MAT_CUSPARSE_MULT_OFFDIAG,
2776:   MAT_CUSPARSE_MULT,
2777:   MAT_CUSPARSE_ALL
2778: } MatCUSPARSEFormatOperation;

2780: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2781: PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2782: PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2783: PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2784: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const PetscInt *[], const PetscInt *[]);
2785: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const PetscInt *[], const PetscInt *[]);
2786: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2787: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2788: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2789: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2790: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2791: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);

2793: PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2794: PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2795: PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2796: PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2797: PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2798: PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2799: PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2800: PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2801: PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2802: PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2803: PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2804: PETSC_EXTERN PetscErrorCode MatDenseCUDASetPreallocation(Mat, PetscScalar *);

2806: PETSC_EXTERN PetscErrorCode MatCreateSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2807: #endif

2809: #if PetscDefined(HAVE_HIP)
2810: /*E
2811:     MatHIPSPARSEStorageFormat - indicates the storage format for `MATAIJHIPSPARSE` (GPU)
2812:     matrices.

2814:     Values:
2815: +   `MAT_HIPSPARSE_CSR` - Compressed Sparse Row
2816: .   `MAT_HIPSPARSE_ELL` - Ellpack
2817: -   `MAT_HIPSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format

2819:     Level: intermediate

2821: .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
2822: E*/

2824: typedef enum {
2825:   MAT_HIPSPARSE_CSR,
2826:   MAT_HIPSPARSE_ELL,
2827:   MAT_HIPSPARSE_HYB
2828: } MatHIPSPARSEStorageFormat;

2830: /* these will be strings associated with enumerated type defined above */
2831: PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];

2833: /*E
2834:     MatHIPSPARSEFormatOperation - indicates the operation of `MATAIJHIPSPARSE` (GPU)
2835:     matrices whose operation should use a particular storage format.

2837:     Values:
2838: +   `MAT_HIPSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2839: .   `MAT_HIPSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2840: .   `MAT_HIPSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2841: -   `MAT_HIPSPARSE_ALL`          - sets the storage format for all HIPSPARSE (GPU) matrices

2843:     Level: intermediate

2845: .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
2846: E*/
2847: typedef enum {
2848:   MAT_HIPSPARSE_MULT_DIAG,
2849:   MAT_HIPSPARSE_MULT_OFFDIAG,
2850:   MAT_HIPSPARSE_MULT,
2851:   MAT_HIPSPARSE_ALL
2852: } MatHIPSPARSEFormatOperation;

2854: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2855: PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2856: PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
2857: PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
2858: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const PetscInt *[], const PetscInt *[]);
2859: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const PetscInt *[], const PetscInt *[]);
2860: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
2861: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
2862: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
2863: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
2864: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
2865: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);

2867: PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2868: PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2869: PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
2870: PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
2871: PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
2872: PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
2873: PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
2874: PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
2875: PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
2876: PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
2877: PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);
2878: PETSC_EXTERN PetscErrorCode MatDenseHIPSetPreallocation(Mat, PetscScalar *);
2879: PETSC_EXTERN PetscErrorCode MatCreateSELLHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2880: #endif

2882: #if PetscDefined(HAVE_VIENNACL)
2883: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2884: PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2885: #endif

2887: #if PetscDefined(HAVE_KOKKOS)
2888: PETSC_EXTERN PetscErrorCode MatCreateAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2889: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2890: #endif

2892: #if PetscDefined(HAVE_FFTW)
2893: PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2894: PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2895: PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2896: #endif

2898: #if PetscDefined(HAVE_SCALAPACK) && (PetscDefined(USE_REAL_SINGLE) || PetscDefined(USE_REAL_DOUBLE))
2899: PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2900: PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2901: PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2902: #endif

2904: PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2905: PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2906: PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2907: PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2908: PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2909: PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2910: PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2911: PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2912: PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);

2914: PETSC_EXTERN PetscErrorCode MatCreateNestFromMultipleShifts(Mat, PetscInt, const PetscScalar[], const PetscScalar[], Mat, PetscBool, MatStructure, Mat *);
2915: PETSC_EXTERN PetscErrorCode MatCreateVecNestFromMultipleShifts(Mat, Vec, Vec *);

2917: PETSC_EXTERN PetscErrorCode MatFilter(Mat, PetscReal, PetscBool, PetscBool);
2918: PETSC_DEPRECATED_FUNCTION(3, 20, 0, "MatFilter()", ) static inline PetscErrorCode MatChop(Mat A, PetscReal tol)
2919: {
2920:   return MatFilter(A, tol, PETSC_FALSE, PETSC_FALSE);
2921: }
2922: PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);

2924: PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);

2926: PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);

2928: PETSC_EXTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2929: PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);

2931: PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);

2933: PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, PetscInt, PetscInt[], Mat *);
2934: PETSC_EXTERN PetscErrorCode MatEliminateZeros(Mat, PetscBool);

2936: PETSC_EXTERN PetscErrorCode MatCreateDenseFromVecType(MPI_Comm, VecType, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar *, Mat *);
2937: PETSC_EXTERN PetscErrorCode MatCreateDenseWithMemType(MPI_Comm, PetscMemType, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar *, Mat *);

2939: PETSC_EXTERN PetscErrorCode MatSetHPL(Mat, int);
2940: #define PETSCBMHPL "hpl"

2942: PETSC_EXTERN PetscErrorCode MatDFischer(Mat, Vec, Vec, Vec, Vec, Vec, Vec, Vec, Vec);