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

 27:    Level: beginner

 29:    Notes:
 30:    [](doc_matrix) for a table of available matrix types

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

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

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

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

150:    Level: beginner

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

156: .seealso: [](sec_matfactor), [](ch_matrices), `MatGetFactor()`, `PCFactorSetMatSolverType()`, `PCFactorGetMatSolverType()`
157: J*/
158: typedef const char *MatSolverType;
159: #define MATSOLVERSUPERLU      "superlu"
160: #define MATSOLVERSUPERLU_DIST "superlu_dist"
161: #define MATSOLVERSTRUMPACK    "strumpack"
162: #define MATSOLVERUMFPACK      "umfpack"
163: #define MATSOLVERCHOLMOD      "cholmod"
164: #define MATSOLVERKLU          "klu"
165: #define MATSOLVERELEMENTAL    "elemental"
166: #define MATSOLVERSCALAPACK    "scalapack"
167: #define MATSOLVERESSL         "essl"
168: #define MATSOLVERLUSOL        "lusol"
169: #define MATSOLVERMUMPS        "mumps"
170: #define MATSOLVERMKL_PARDISO  "mkl_pardiso"
171: #define MATSOLVERMKL_CPARDISO "mkl_cpardiso"
172: #define MATSOLVERPASTIX       "pastix"
173: #define MATSOLVERMATLAB       "matlab"
174: #define MATSOLVERPETSC        "petsc"
175: #define MATSOLVERBAS          "bas"
176: #define MATSOLVERCUSPARSE     "cusparse"
177: #define MATSOLVERCUDA         "cuda"
178: #define MATSOLVERHIPSPARSE    "hipsparse"
179: #define MATSOLVERHIP          "hip"
180: #define MATSOLVERKOKKOS       "kokkos"
181: #define MATSOLVERSPQR         "spqr"
182: #define MATSOLVERHTOOL        "htool"

184: /*E
185:     MatFactorType - indicates what type of factorization is requested

187:     Values:
188: +  `MAT_FACTOR_LU`       - LU factorization
189: .  `MAT_FACTOR_CHOLESKY` - Cholesky factorization
190: .  `MAT_FACTOR_ILU`      - ILU factorization
191: .  `MAT_FACTOR_ICC`      - incomplete Cholesky factorization
192: .  `MAT_FACTOR_ILUDT`    - ILU factorization with drop tolerance
193: -  `MAT_FACTOR_QR`       - QR factorization

195:     Level: beginner

197: .seealso: [](ch_matrices), `MatSolverType`, `MatGetFactor()`, `MatGetFactorAvailable()`, `MatSolverTypeRegister()`
198: E*/
199: typedef enum {
200:   MAT_FACTOR_NONE,
201:   MAT_FACTOR_LU,
202:   MAT_FACTOR_CHOLESKY,
203:   MAT_FACTOR_ILU,
204:   MAT_FACTOR_ICC,
205:   MAT_FACTOR_ILUDT,
206:   MAT_FACTOR_QR,
207:   MAT_FACTOR_NUM_TYPES
208: } MatFactorType;
209: PETSC_EXTERN const char *const MatFactorTypes[];

211: PETSC_EXTERN PetscErrorCode MatGetFactor(Mat, MatSolverType, MatFactorType, Mat *);
212: PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat, MatSolverType, MatFactorType, PetscBool *);
213: PETSC_EXTERN PetscErrorCode MatFactorGetCanUseOrdering(Mat, PetscBool *);
214: PETSC_DEPRECATED_FUNCTION(3, 15, 0, "MatFactorGetCanUseOrdering()", ) static inline PetscErrorCode MatFactorGetUseOrdering(Mat A, PetscBool *b)
215: {
216:   return MatFactorGetCanUseOrdering(A, b);
217: }
218: PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat, MatSolverType *);
219: PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat, MatFactorType *);
220: PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat, MatFactorType);
221: /*S
222:   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`

224:   Synopsis:
225: #include <petscmat.h>
226:   PetscErrorCode MatSolverFn(Mat A, MatFactorType ftype, Mat *F)

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

233:   Level: developer

235: .seealso: `Mat`, `MatGetFactor()`, `MatSolverType`, `MatFactorType`, `MatSolverTypeRegister()`, `MatSolverTypeGet()`
236: S*/
237: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatSolverFn(Mat, MatFactorType, Mat *);
238: PETSC_EXTERN_TYPEDEF typedef MatSolverFn   *MatSolverFunction;

240: PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType, MatType, MatFactorType, MatSolverFn *);
241: PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType, MatType, MatFactorType, PetscBool *, PetscBool *, MatSolverFn **);
242: typedef MatSolverType       MatSolverPackage PETSC_DEPRECATED_TYPEDEF(3, 9, 0, "MatSolverType", );
243: PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSolverTypeRegister()", ) static inline PetscErrorCode MatSolverPackageRegister(MatSolverType stype, MatType mtype, MatFactorType ftype, MatSolverFn *f)
244: {
245:   return MatSolverTypeRegister(stype, mtype, ftype, f);
246: }
247: PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSolverTypeGet()", ) static inline PetscErrorCode MatSolverPackageGet(MatSolverType stype, MatType mtype, MatFactorType ftype, PetscBool *foundmtype, PetscBool *foundstype, MatSolverFn **f)
248: {
249:   return MatSolverTypeGet(stype, mtype, ftype, foundmtype, foundstype, f);
250: }

252: /*E
253:     MatProductType - indicates what type of matrix product to compute

255:     Values:
256: +  `MATPRODUCT_AB`   - product of two matrices
257: .  `MATPRODUCT_AtB`  - product of the transpose of a given matrix with a matrix
258: .  `MATPRODUCT_ABt`  - product of a matrix with the transpose of another given matrix
259: .  `MATPRODUCT_PtAP` - the triple product of the transpose of a matrix with another matrix and itself
260: .  `MATPRODUCT_RARt` - the triple product of a matrix, another matrix and the transpose of the first matrix
261: -  `MATPRODUCT_ABC`  - the product of three matrices

263:     Level: beginner

265: .seealso: [](sec_matmatproduct), [](ch_matrices), `MatProductSetType()`
266: E*/
267: typedef enum {
268:   MATPRODUCT_UNSPECIFIED,
269:   MATPRODUCT_AB,
270:   MATPRODUCT_AtB,
271:   MATPRODUCT_ABt,
272:   MATPRODUCT_PtAP,
273:   MATPRODUCT_RARt,
274:   MATPRODUCT_ABC
275: } MatProductType;
276: PETSC_EXTERN const char *const MatProductTypes[];

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

281:    Level: beginner

283: .seealso: [](sec_matmatproduct), [](ch_matrices), `MatSetType()`, `Mat`, `MatProductSetAlgorithm()`, `MatProductType`
284: J*/
285: typedef const char *MatProductAlgorithm;
286: #define MATPRODUCTALGORITHMDEFAULT         "default"
287: #define MATPRODUCTALGORITHMSORTED          "sorted"
288: #define MATPRODUCTALGORITHMSCALABLE        "scalable"
289: #define MATPRODUCTALGORITHMSCALABLEFAST    "scalable_fast"
290: #define MATPRODUCTALGORITHMHEAP            "heap"
291: #define MATPRODUCTALGORITHMBHEAP           "btheap"
292: #define MATPRODUCTALGORITHMLLCONDENSED     "llcondensed"
293: #define MATPRODUCTALGORITHMROWMERGE        "rowmerge"
294: #define MATPRODUCTALGORITHMOUTERPRODUCT    "outerproduct"
295: #define MATPRODUCTALGORITHMATB             "at*b"
296: #define MATPRODUCTALGORITHMRAP             "rap"
297: #define MATPRODUCTALGORITHMNONSCALABLE     "nonscalable"
298: #define MATPRODUCTALGORITHMSEQMPI          "seqmpi"
299: #define MATPRODUCTALGORITHMBACKEND         "backend"
300: #define MATPRODUCTALGORITHMOVERLAPPING     "overlapping"
301: #define MATPRODUCTALGORITHMMERGED          "merged"
302: #define MATPRODUCTALGORITHMALLATONCE       "allatonce"
303: #define MATPRODUCTALGORITHMALLATONCEMERGED "allatonce_merged"
304: #define MATPRODUCTALGORITHMALLGATHERV      "allgatherv"
305: #define MATPRODUCTALGORITHMCYCLIC          "cyclic"
306: #define MATPRODUCTALGORITHMHYPRE           "hypre"

308: PETSC_EXTERN PetscErrorCode MatProductCreate(Mat, Mat, Mat, Mat *);
309: PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat, Mat, Mat, Mat);
310: PETSC_EXTERN PetscErrorCode MatProductSetType(Mat, MatProductType);
311: PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat, MatProductAlgorithm);
312: PETSC_EXTERN PetscErrorCode MatProductGetAlgorithm(Mat, MatProductAlgorithm *);
313: PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat, PetscReal);
314: PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
315: PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
316: PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
317: PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat, Mat, Mat, Mat);
318: PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
319: PETSC_EXTERN PetscErrorCode MatProductView(Mat, PetscViewer);
320: PETSC_EXTERN PetscErrorCode MatProductGetType(Mat, MatProductType *);
321: PETSC_EXTERN PetscErrorCode MatProductGetMats(Mat, Mat *, Mat *, Mat *);

323: /* Logging support */
324: #define MAT_FILE_CLASSID 1211216 /* used to indicate matrices in binary files */
325: PETSC_EXTERN PetscClassId MAT_CLASSID;
326: PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
327: PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
328: PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
329: PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
330: PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
331: PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
332: PETSC_EXTERN PetscClassId MATMFFD_CLASSID;

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

338:    Values:
339: +  `MAT_INITIAL_MATRIX` - create a new matrix
340: .  `MAT_REUSE_MATRIX`   - reuse the matrix created with a previous call that used `MAT_INITIAL_MATRIX`
341: .  `MAT_INPLACE_MATRIX` - replace the first input matrix with the new matrix (not applicable to all functions)
342: -  `MAT_IGNORE_MATRIX`  - do not create a new matrix or reuse a given matrix, just ignore that matrix argument (not applicable to all functions)

344:     Level: beginner

346: .seealso: [](ch_matrices), `Mat`, `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatDestroyMatrices()`, `MatConvert()`
347: E*/
348: typedef enum {
349:   MAT_INITIAL_MATRIX,
350:   MAT_REUSE_MATRIX,
351:   MAT_IGNORE_MATRIX,
352:   MAT_INPLACE_MATRIX
353: } MatReuse;

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

359:     Values:
360: +  `MAT_DO_NOT_GET_VALUES` - do not copy the matrix values
361: -  `MAT_GET_VALUES`        - copy the matrix values

363:     Level: developer

365:     Developer Note:
366:     Why is not just a boolean used for this information?

368: .seealso: [](ch_matrices), `Mat`, `MatDuplicateOption`, `PetscCopyMode`, `MatGetSeqNonzeroStructure()`
369: E*/
370: typedef enum {
371:   MAT_DO_NOT_GET_VALUES,
372:   MAT_GET_VALUES
373: } MatCreateSubMatrixOption;

375: PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
376: PETSC_EXTERN PetscErrorCode MatFinalizePackage(void);

378: PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm, Mat *);
379: PETSC_EXTERN PetscErrorCode MatCreateFromOptions(MPI_Comm, const char *, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
380: PETSC_EXTERN PetscErrorCode MatSetSizes(Mat, PetscInt, PetscInt, PetscInt, PetscInt);
381: PETSC_EXTERN PetscErrorCode MatSetType(Mat, MatType);
382: PETSC_EXTERN PetscErrorCode MatGetVecType(Mat, VecType *);
383: PETSC_EXTERN PetscErrorCode MatSetVecType(Mat, VecType);
384: PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
385: PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat, PetscObject, const char[]);
386: PETSC_EXTERN PetscErrorCode MatRegister(const char[], PetscErrorCode (*)(Mat));
387: PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[], const char[], const char[]);
388: PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat, const char[]);
389: PETSC_EXTERN PetscErrorCode MatSetOptionsPrefixFactor(Mat, const char[]);
390: PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefixFactor(Mat, const char[]);
391: PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat, const char[]);
392: PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat, const char *[]);
393: PETSC_EXTERN PetscErrorCode MatGetState(Mat, PetscObjectState *);
394: PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat, PetscBool);

396: PETSC_EXTERN PetscFunctionList MatList;
397: PETSC_EXTERN PetscFunctionList MatColoringList;
398: PETSC_EXTERN PetscFunctionList MatPartitioningList;

400: /*E
401:    MatStructure - Indicates if two matrices have the same nonzero structure

403:    Values:
404: +  `SAME_NONZERO_PATTERN`      - the two matrices have identical nonzero patterns
405: .  `DIFFERENT_NONZERO_PATTERN` - the two matrices may have different nonzero patterns
406: .  `SUBSET_NONZERO_PATTERN`    - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
407: -  `UNKNOWN_NONZERO_PATTERN`   - there is no known relationship between the nonzero patterns. In this case the implementations
408:                                  may try to detect a relationship to optimize the operation

410:    Level: beginner

412:    Note:
413:    Certain matrix operations (such as `MatAXPY()`) can run much faster if the sparsity pattern of the matrices are the same. But actually determining if
414:    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
415:    to certain PETSc routines.

417: .seealso: [](ch_matrices), `Mat`, `MatCopy()`, `MatAXPY()`, `MatAYPX()`
418: E*/
419: typedef enum {
420:   DIFFERENT_NONZERO_PATTERN,
421:   SUBSET_NONZERO_PATTERN,
422:   SAME_NONZERO_PATTERN,
423:   UNKNOWN_NONZERO_PATTERN
424: } MatStructure;
425: PETSC_EXTERN const char *const MatStructures[];

427: #if defined(PETSC_HAVE_MKL_SPARSE)
428: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
429: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
430: PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
431: PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
432: #endif

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

437: PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
438: PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
439: PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat, PetscInt, const PetscInt[]);
440: PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
441: PETSC_EXTERN PetscErrorCode MatSeqSELLGetFillRatio(Mat, PetscReal *);
442: PETSC_EXTERN PetscErrorCode MatSeqSELLGetMaxSliceWidth(Mat, PetscInt *);
443: PETSC_EXTERN PetscErrorCode MatSeqSELLGetAvgSliceWidth(Mat, PetscReal *);
444: PETSC_EXTERN PetscErrorCode MatSeqSELLSetSliceHeight(Mat, PetscInt);
445: PETSC_EXTERN PetscErrorCode MatSeqSELLGetVarSliceSize(Mat, PetscReal *);

447: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
448: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
449: PETSC_EXTERN PetscErrorCode MatMPISELLGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
450: PETSC_EXTERN PetscErrorCode MatMPISELLGetSeqSELL(Mat, Mat *, Mat *, const PetscInt *[]);

452: PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
453: PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
454: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
455: PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
456: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
457: PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
458: PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArray(Mat, const PetscScalar[]);
459: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], PetscInt[], PetscInt[], PetscScalar[], Mat *);
460: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm, PetscInt, PetscInt, Mat, Mat, PetscInt *, Mat *);

462: PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
463: PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
464: PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);

466: PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat, PetscCount, PetscInt[], PetscInt[]);
467: PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat, PetscCount, PetscInt[], PetscInt[]);
468: PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat, const PetscScalar[], InsertMode);

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

473: PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
474: PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
475: PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
476: PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
477: PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], const PetscInt[]);

479: PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscCtx, Mat *);
480: PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm, PetscInt, PetscInt, Mat *);
481: PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat, Mat *);
482: PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat, Mat *);
483: PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat, Mat, Vec, Mat, Mat *);
484: PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat, Mat *, Mat *, Vec *, Mat *);
485: PETSC_EXTERN PetscErrorCode MatLRCSetMats(Mat, Mat, Mat, Vec, Mat);
486: PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, ISLocalToGlobalMapping, ISLocalToGlobalMapping, Mat *);
487: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
488: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);

490: PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm, VecScatter, Mat *);
491: PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat, VecScatter);
492: PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat, VecScatter *);
493: PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt *, Mat *);
494: PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat, Mat);
495: PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
496: typedef enum {
497:   MAT_COMPOSITE_MERGE_RIGHT,
498:   MAT_COMPOSITE_MERGE_LEFT
499: } MatCompositeMergeType;
500: PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat, MatCompositeMergeType);
501: PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm, PetscInt, const Mat *, Mat *);
502: /*E
503:     MatCompositeType - indicates what type of `MATCOMPOSITE` is used

505:     Values:
506: +  `MAT_COMPOSITE_ADDITIVE`       - sum of matrices (default)
507: -  `MAT_COMPOSITE_MULTIPLICATIVE` - product of matrices

509:     Level: beginner

511: .seealso: [](ch_matrices), `MATCOMPOSITE`, `MatCompositeSetType()`, `MatCompositeGetType()`
512: E*/
513: typedef enum {
514:   MAT_COMPOSITE_ADDITIVE,
515:   MAT_COMPOSITE_MULTIPLICATIVE
516: } MatCompositeType;
517: PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat, MatCompositeType);
518: PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat, MatCompositeType *);
519: PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat, MatStructure);
520: PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat, MatStructure *);
521: PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat, PetscInt *);
522: PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat, PetscInt, Mat *);
523: PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat, const PetscScalar *);

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

528: PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat, Mat *);
529: PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat, Mat *);
530: PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat, Mat *);
531: PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat, Mat *);
532: PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat, Mat *);
533: PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat, Mat *);
534: PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat, IS, IS, Mat *);
535: PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat, Mat, IS, IS);
536: PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat, IS, IS, Mat *);
537: PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar, Mat *);
538: PETSC_EXTERN PetscErrorCode MatCreateDiagonal(Vec, Mat *);
539: PETSC_EXTERN PetscErrorCode MatDiagonalSetDiagonal(Mat, Vec);
540: PETSC_EXTERN PetscErrorCode MatDiagonalGetDiagonal(Mat, Vec *);
541: PETSC_EXTERN PetscErrorCode MatDiagonalRestoreDiagonal(Mat, Vec *);
542: PETSC_EXTERN PetscErrorCode MatDiagonalGetInverseDiagonal(Mat, Vec *);
543: PETSC_EXTERN PetscErrorCode MatDiagonalRestoreInverseDiagonal(Mat, Vec *);
544: PETSC_EXTERN PetscErrorCode MatConstantDiagonalGetConstant(Mat, PetscScalar *);
545: PETSC_EXTERN PetscErrorCode MatGetCurrentMemType(Mat, PetscMemType *);

547: #if defined(PETSC_HAVE_HYPRE)
548: PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
549: #endif

551: PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat, const char[]);
552: PETSC_EXTERN PetscErrorCode MatPythonGetType(Mat, const char *[]);
553: PETSC_EXTERN PetscErrorCode MatPythonCreate(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const char[], Mat *);

555: PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
556: PETSC_EXTERN PetscErrorCode MatResetHash(Mat);
557: PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
558: PETSC_EXTERN PetscErrorCode MatDestroy(Mat *);
559: PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat, PetscObjectState *);

561: PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
562: PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
563: PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
564: PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat, Mat *);
565: PETSC_EXTERN PetscErrorCode MatGetTrace(Mat, PetscScalar *);
566: PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat, const PetscScalar **);
567: PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat, PetscInt, const PetscInt *, PetscScalar *);
568: PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat, Mat);
569: PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat, MatReuse, Mat *);
570: PETSC_EXTERN PetscErrorCode MatComputeVariableBlockEnvelope(Mat);

572: PETSC_EXTERN PetscErrorCode MatSetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
573: PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat, IS, IS, const PetscScalar[], InsertMode);
574: PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
575: PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat, PetscInt, const PetscScalar[]);
576: PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat, PetscInt, const PetscScalar[]);
577: PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt[], const PetscScalar[]);
578: PETSC_EXTERN PetscErrorCode MatSetRandom(Mat, PetscRandom);

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

584:    Level: beginner

586:    Notes:
587:    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).
588:    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.

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

592:    For staggered grids, see `DMStagStencil`

594: .seealso: [](ch_matrices), `Mat`, `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`,
595:           `DMStagStencil`
596: S*/
597: typedef struct {
598:   PetscInt k, j, i, c;
599: } MatStencil;

601: PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
602: PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
603: PETSC_EXTERN PetscErrorCode MatSetStencil(Mat, PetscInt, const PetscInt[], const PetscInt[], PetscInt);

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

608:     Values:
609: +   `MAT_FLUSH_ASSEMBLY` - you will continue to put values into the matrix
610: -   `MAT_FINAL_ASSEMBLY` - you wish to use the matrix with the values currently inserted

612:     Level: beginner

614: .seealso: [](ch_matrices), `Mat`, `MatSetValues`, `MatAssemblyBegin()`, `MatAssemblyEnd()`
615: E*/
616: typedef enum {
617:   MAT_FLUSH_ASSEMBLY = 1,
618:   MAT_FINAL_ASSEMBLY = 0
619: } MatAssemblyType;

621: PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat, MatAssemblyType);
622: PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat, MatAssemblyType);
623: PETSC_EXTERN PetscErrorCode MatAssembled(Mat, PetscBool *);

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

628:    Level: beginner

630:    Note:
631:    See `MatSetOption()` for the use of the options

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

636: .seealso: [](ch_matrices), `Mat`, `MatSetOption()`
637: E*/
638: typedef enum {
639:   MAT_OPTION_MIN                  = -3,
640:   MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
641:   MAT_ROW_ORIENTED                = -1,
642:   MAT_SYMMETRIC                   = 1,
643:   MAT_STRUCTURALLY_SYMMETRIC      = 2,
644:   MAT_FORCE_DIAGONAL_ENTRIES      = 3,
645:   MAT_IGNORE_OFF_PROC_ENTRIES     = 4,
646:   MAT_USE_HASH_TABLE              = 5,
647:   MAT_KEEP_NONZERO_PATTERN        = 6,
648:   MAT_IGNORE_ZERO_ENTRIES         = 7,
649:   MAT_USE_INODES                  = 8,
650:   MAT_HERMITIAN                   = 9,
651:   MAT_SYMMETRY_ETERNAL            = 10,
652:   MAT_NEW_NONZERO_LOCATION_ERR    = 11,
653:   MAT_IGNORE_LOWER_TRIANGULAR     = 12,
654:   MAT_ERROR_LOWER_TRIANGULAR      = 13,
655:   MAT_GETROW_UPPERTRIANGULAR      = 14,
656:   MAT_SPD                         = 15,
657:   MAT_NO_OFF_PROC_ZERO_ROWS       = 16,
658:   MAT_NO_OFF_PROC_ENTRIES         = 17,
659:   MAT_NEW_NONZERO_LOCATIONS       = 18,
660:   MAT_NEW_NONZERO_ALLOCATION_ERR  = 19,
661:   MAT_SUBSET_OFF_PROC_ENTRIES     = 20,
662:   MAT_SUBMAT_SINGLEIS             = 21,
663:   MAT_STRUCTURE_ONLY              = 22,
664:   MAT_SORTED_FULL                 = 23,
665:   MAT_FORM_EXPLICIT_TRANSPOSE     = 24,
666:   MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
667:   MAT_SPD_ETERNAL                 = 26,
668:   MAT_OPTION_MAX                  = 27
669: } MatOption;

671: PETSC_EXTERN const char *const *MatOptions;
672: PETSC_EXTERN PetscErrorCode     MatSetOption(Mat, MatOption, PetscBool);
673: PETSC_EXTERN PetscErrorCode     MatGetOption(Mat, MatOption, PetscBool *);
674: PETSC_EXTERN PetscErrorCode     MatPropagateSymmetryOptions(Mat, Mat);
675: PETSC_EXTERN PetscErrorCode     MatGetType(Mat, MatType *);

677: PETSC_EXTERN PetscErrorCode    MatGetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
678: PETSC_EXTERN PetscErrorCode    MatGetRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
679: PETSC_EXTERN PetscErrorCode    MatRestoreRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
680: PETSC_EXTERN PetscErrorCode    MatGetRowUpperTriangular(Mat);
681: PETSC_EXTERN PetscErrorCode    MatRestoreRowUpperTriangular(Mat);
682: PETSC_EXTERN PetscErrorCode    MatGetColumnVector(Mat, Vec, PetscInt);
683: PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArray(Mat, PetscScalar *[]);
684: PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayRead(Mat, const PetscScalar *[]);
685: PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayWrite(Mat, PetscScalar *[]);
686: PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArray(Mat, PetscScalar *[]);
687: PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayRead(Mat, const PetscScalar *[]);
688: PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayWrite(Mat, PetscScalar *[]);
689: PETSC_EXTERN PetscErrorCode    MatSeqAIJGetMaxRowNonzeros(Mat, PetscInt *);
690: PETSC_EXTERN PetscErrorCode    MatSeqAIJSetValuesLocalFast(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
691: PETSC_EXTERN PetscErrorCode    MatSeqAIJSetType(Mat, MatType);
692: PETSC_EXTERN PetscErrorCode    MatSeqAIJKron(Mat, Mat, MatReuse, Mat *);
693: PETSC_EXTERN PetscErrorCode    MatSeqAIJRegister(const char[], PetscErrorCode (*)(Mat, MatType, MatReuse, Mat *));
694: PETSC_EXTERN PetscFunctionList MatSeqAIJList;
695: PETSC_EXTERN PetscErrorCode    MatSeqBAIJGetArray(Mat, PetscScalar *[]);
696: PETSC_EXTERN PetscErrorCode    MatSeqBAIJRestoreArray(Mat, PetscScalar *[]);
697: PETSC_EXTERN PetscErrorCode    MatSeqSBAIJGetArray(Mat, PetscScalar *[]);
698: PETSC_EXTERN PetscErrorCode    MatSeqSBAIJRestoreArray(Mat, PetscScalar *[]);
699: PETSC_EXTERN PetscErrorCode    MatDenseGetArray(Mat, PetscScalar *[]);
700: PETSC_EXTERN PetscErrorCode    MatDenseRestoreArray(Mat, PetscScalar *[]);
701: PETSC_EXTERN PetscErrorCode    MatDensePlaceArray(Mat, const PetscScalar[]);
702: PETSC_EXTERN PetscErrorCode    MatDenseReplaceArray(Mat, const PetscScalar[]);
703: PETSC_EXTERN PetscErrorCode    MatDenseReplaceArrayWithMemType(Mat, PetscMemType, const PetscScalar[]);
704: PETSC_EXTERN PetscErrorCode    MatDenseResetArray(Mat);
705: PETSC_EXTERN PetscErrorCode    MatDenseGetArrayRead(Mat, const PetscScalar *[]);
706: PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayRead(Mat, const PetscScalar *[]);
707: PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWrite(Mat, PetscScalar *[]);
708: PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWrite(Mat, PetscScalar *[]);
709: PETSC_EXTERN PetscErrorCode    MatDenseGetArrayAndMemType(Mat, PetscScalar *[], PetscMemType *);
710: PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayAndMemType(Mat, PetscScalar *[]);
711: PETSC_EXTERN PetscErrorCode    MatDenseGetArrayReadAndMemType(Mat, const PetscScalar *[], PetscMemType *);
712: PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayReadAndMemType(Mat, const PetscScalar *[]);
713: PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWriteAndMemType(Mat, PetscScalar *[], PetscMemType *);
714: PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWriteAndMemType(Mat, PetscScalar *[]);
715: PETSC_EXTERN PetscErrorCode    MatGetBlockSize(Mat, PetscInt *);
716: PETSC_EXTERN PetscErrorCode    MatSetBlockSize(Mat, PetscInt);
717: PETSC_EXTERN PetscErrorCode    MatGetBlockSizes(Mat, PetscInt *, PetscInt *);
718: PETSC_EXTERN PetscErrorCode    MatSetBlockSizes(Mat, PetscInt, PetscInt);
719: PETSC_EXTERN PetscErrorCode    MatSetBlockSizesFromMats(Mat, Mat, Mat);
720: PETSC_EXTERN PetscErrorCode    MatSetVariableBlockSizes(Mat, PetscInt, const PetscInt[]);
721: PETSC_EXTERN PetscErrorCode    MatGetVariableBlockSizes(Mat, PetscInt *, const PetscInt *[]);
722: PETSC_EXTERN PetscErrorCode    MatSelectVariableBlockSizes(Mat, Mat, IS);

724: PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat, PetscInt, PetscScalar *[]);
725: PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat, PetscScalar *[]);
726: PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat, PetscInt, Vec *);
727: PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat, PetscInt, Vec *);
728: PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat, PetscInt, Vec *);
729: PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat, PetscInt, Vec *);
730: PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat, PetscInt, Vec *);
731: PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat, PetscInt, Vec *);
732: PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
733: PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat, Mat *);

735: PETSC_EXTERN PetscErrorCode MatMult(Mat, Vec, Vec);
736: PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat, Vec, Vec);
737: PETSC_EXTERN PetscErrorCode MatMultAdd(Mat, Vec, Vec, Vec);
738: PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat, Vec, Vec);
739: PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat, Vec, Vec);
740: PETSC_EXTERN PetscErrorCode MatADot(Mat, Vec, Vec, PetscScalar *);
741: PETSC_EXTERN PetscErrorCode MatANorm(Mat, Vec, PetscReal *);
742: PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat, Mat, PetscReal, PetscBool *);
743: PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat, Mat, PetscReal, PetscBool *);
744: PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat, Vec, Vec, Vec);
745: PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat, Vec, Vec, Vec);
746: PETSC_EXTERN PetscErrorCode MatMatSolve(Mat, Mat, Mat);
747: PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat, Mat, Mat);
748: PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat, Mat, Mat);
749: PETSC_EXTERN PetscErrorCode MatResidual(Mat, Vec, Vec, Vec);

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

755:   Values:
756: + `MAT_DO_NOT_COPY_VALUES`    - Create a matrix using the same nonzero pattern as the original matrix,
757:                                 with zeros for the numerical values
758: . `MAT_COPY_VALUES`           - Create a matrix with the same nonzero pattern as the original matrix
759:                                 and with the same numerical values.
760: - `MAT_SHARE_NONZERO_PATTERN` - Create a matrix that shares the nonzero structure with the previous matrix
761:                                 and does not copy it, using zeros for the numerical values. The parent and
762:                                 child matrices will share their index (i and j) arrays, and you cannot
763:                                 insert new nonzero entries into either matrix

765:   Level: beginner

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

771: .seealso: [](ch_matrices), `Mat`, `MatDuplicate()`
772: E*/
773: typedef enum {
774:   MAT_DO_NOT_COPY_VALUES,
775:   MAT_COPY_VALUES,
776:   MAT_SHARE_NONZERO_PATTERN
777: } MatDuplicateOption;

779: PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
780: PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);

782: PETSC_EXTERN PetscErrorCode MatCopy(Mat, Mat, MatStructure);
783: PETSC_EXTERN PetscErrorCode MatView(Mat, PetscViewer);
784: PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat, PetscReal, PetscBool *);
785: PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat, PetscBool *);
786: PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat, PetscReal, PetscBool *);
787: PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat, PetscBool *, PetscBool *);
788: PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat, PetscBool *, PetscBool *);
789: PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat, PetscBool *, PetscBool *);
790: PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat, PetscBool *, PetscBool *);
791: PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);

793: PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
794: PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
795: PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
796: PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);

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

801:    Level: intermediate

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

806: .seealso: [](ch_matrices), `Mat`, `MatGetInfo()`, `MatInfoType`
807: S*/
808: typedef struct {
809:   PetscLogDouble block_size;                          /* block size */
810:   PetscLogDouble nz_allocated, nz_used, nz_unneeded;  /* number of nonzeros */
811:   PetscLogDouble memory;                              /* memory allocated */
812:   PetscLogDouble assemblies;                          /* number of matrix assemblies called */
813:   PetscLogDouble mallocs;                             /* number of mallocs during MatSetValues() */
814:   PetscLogDouble fill_ratio_given, fill_ratio_needed; /* fill ratio for LU/ILU */
815:   PetscLogDouble factor_mallocs;                      /* number of mallocs during factorization */
816: } MatInfo;

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

822:     Values:
823: +   `MAT_LOCAL`      - values for each MPI process part of the matrix
824: .   `MAT_GLOBAL_MAX` - maximum of each value over all MPI processes
825: -   `MAT_GLOBAL_SUM` - sum of each value over all MPI processes

827:     Level: beginner

829: .seealso: [](ch_matrices), `MatGetInfo()`, `MatInfo`
830: E*/
831: typedef enum {
832:   MAT_LOCAL      = 1,
833:   MAT_GLOBAL_MAX = 2,
834:   MAT_GLOBAL_SUM = 3
835: } MatInfoType;
836: PETSC_EXTERN PetscErrorCode MatGetInfo(Mat, MatInfoType, MatInfo *);
837: PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat, Vec);
838: PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat, Vec, PetscInt[]);
839: PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat, Vec, PetscInt[]);
840: PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat, Vec, PetscInt[]);
841: PETSC_EXTERN PetscErrorCode MatGetRowSumAbs(Mat, Vec);
842: PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat, Vec, PetscInt[]);
843: PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat, Vec);
844: PETSC_EXTERN PetscErrorCode MatTranspose(Mat, MatReuse, Mat *);
845: PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat, Mat *);
846: PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat, Mat);
847: PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat, MatReuse, Mat *);
848: PETSC_EXTERN PetscErrorCode MatPermute(Mat, IS, IS, Mat *);
849: PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat, Vec, Vec);
850: PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat, Vec, InsertMode);

852: PETSC_EXTERN PetscErrorCode MatEqual(Mat, Mat, PetscBool *);
853: PETSC_EXTERN PetscErrorCode MatMultEqual(Mat, Mat, PetscInt, PetscBool *);
854: PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat, Mat, PetscInt, PetscBool *);
855: PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
856: PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
857: PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
858: PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
859: PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
860: PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
861: PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
862: PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
863: PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
864: PETSC_EXTERN PetscErrorCode MatIsLinear(Mat, PetscInt, PetscBool *);

866: PETSC_EXTERN PetscErrorCode MatNorm(Mat, NormType, PetscReal *);
867: PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat, NormType, PetscReal *);
868: PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat, PetscScalar *);
869: PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat, PetscReal *);
870: PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat, PetscReal *);
871: PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat, PetscScalar *);
872: PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat, PetscReal *);
873: PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat, PetscReal *);
874: PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat, PetscInt, PetscReal *);
875: PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
876: PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
877: PETSC_EXTERN PetscErrorCode MatZeroRows(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
878: PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat, IS, PetscScalar, Vec, Vec);
879: PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
880: PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
881: PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
882: PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat, IS, PetscScalar, Vec, Vec);

884: PETSC_EXTERN PetscErrorCode MatGetSize(Mat, PetscInt *, PetscInt *);
885: PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat, PetscInt *, PetscInt *);
886: PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat, PetscInt *, PetscInt *);
887: PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat, const PetscInt **);
888: PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat, PetscInt *, PetscInt *);
889: PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat, const PetscInt **);
890: PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat, IS *, IS *);

892: PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
893: 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[])
894: {
895:   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
896: }
897: PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
898: 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[])
899: {
900:   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
901: }
902: PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
903: PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
904: PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
905: PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatrix()", ) static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat)
906: {
907:   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
908: }
909: PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
910: PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
911: PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
912: PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);

914: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm, Mat, PetscInt, PetscInt, MatReuse, Mat *);
915: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm, Mat, PetscInt, PetscInt, Mat *);
916: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat, Mat);
917: PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat, MatReuse, Mat *);
918: PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat, Mat *);
919: PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
920: PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat, MatReuse, IS *, Mat *);
921: PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat, PetscCount *);
922: PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat, Mat, MatReuse, IS *, IS *, Mat *);
923: PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *, const PetscInt *[]);

925: PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
926: PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat, PetscInt, IS[], PetscInt);
927: PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);

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

931: PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
932: PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);

934: PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
935: PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);

937: PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
938: PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);

940: PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
941: PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);

943: PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
944: PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);

946: PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping, ISLocalToGlobalMapping);
947: PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
948: PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat, PetscLayout *, PetscLayout *);
949: PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat, PetscLayout, PetscLayout);
950: PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
951: PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
952: PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
953: PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
954: PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
955: PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
956: PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);

958: PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
959: PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);

961: PETSC_EXTERN PetscErrorCode MatInterpolate(Mat, Vec, Vec);
962: PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat, Vec, Vec, Vec);
963: PETSC_EXTERN PetscErrorCode MatRestrict(Mat, Vec, Vec);
964: PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat, Mat, Mat *);
965: PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat, Mat, Mat, Mat *);
966: PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat, Mat, Mat *);
967: PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat, Vec *, Vec *);
968: PETSC_DEPRECATED_FUNCTION(3, 6, 0, "MatCreateVecs()", ) static inline PetscErrorCode MatGetVecs(Mat mat, Vec *x, Vec *y)
969: {
970:   return MatCreateVecs(mat, x, y);
971: }
972: PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat, PetscInt, MPI_Comm, MatReuse, Mat *);
973: PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat, MPI_Comm, MatReuse, Mat *);
974: PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat, IS *);
975: PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat, IS *);
976: PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm, Mat, PetscInt, MatReuse, Mat *);

978: PETSC_EXTERN PetscErrorCode MatCopyHashToXAIJ(Mat A, Mat B);
979: /*@C
980:    MatSetValue - Set a single entry into a matrix.

982:    Not Collective

984:    Input Parameters:
985: +  mat  - the matrix
986: .  i    - the row location of the entry
987: .  j    - the column location of the entry
988: .  va   - the value to insert
989: -  mode - either `INSERT_VALUES` or `ADD_VALUES`

991:    Level: beginner

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

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

999: .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `InsertMode`, `MatGetValue()`, `MatSetValues()`,
1000:           `MatSetValueLocal()`, `MatSetValuesLocal()`
1001: @*/
1002: static inline PetscErrorCode MatSetValue(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
1003: {
1004:   return MatSetValues(mat, 1, &i, 1, &j, &va, mode);
1005: }

1007: /*@C
1008:    MatGetValue - Gets a single value from a matrix

1010:    Not Collective; can only return a value owned by the given process

1012:    Input Parameters:
1013: +  mat - the matrix
1014: .  row - the row location of the entry
1015: -  col - the column location of the entry

1017:    Output Parameter:
1018: .  va - the value

1020:    Level: advanced

1022:    Notes:
1023:    The matrix must have been assembled with `MatAssemblyBegin()` and `MatAssemblyEnd()` before this call

1025:    For efficiency one should use `MatGetValues()` and get several values simultaneously.

1027:    See notes for `MatGetValues()`.

1029: .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `MatSetValue()`, `MatGetValuesLocal()`, `MatGetValues()`
1030: @*/
1031: static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
1032: {
1033:   return MatGetValues(mat, 1, &row, 1, &col, va);
1034: }

1036: /*@C
1037:    MatSetValueLocal - Inserts or adds a single value into a matrix, using a local numbering of the nodes.

1039:    Not Collective

1041:    Input Parameters:
1042: +  mat  - the matrix
1043: .  i    - the row location of the entry
1044: .  j    - the column location of the entry
1045: .  va   - the value to insert
1046: -  mode - either `INSERT_VALUES` or `ADD_VALUES`

1048:    Level: intermediate

1050:    Notes:
1051:    For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.

1053:    See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.

1055: .seealso: [](ch_matrices), `MatSetValue()`, `MatSetValuesLocal()`
1056: @*/
1057: static inline PetscErrorCode MatSetValueLocal(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
1058: {
1059:   return MatSetValuesLocal(mat, 1, &i, 1, &j, &va, mode);
1060: }

1062: /*MC
1063:    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
1064:    row in a matrix providing the data that one can use to correctly preallocate the matrix.

1066:    Synopsis:
1067: #include <petscmat.h>
1068:    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)

1070:    Collective

1072:    Input Parameters:
1073: +  comm  - the communicator that will share the eventually allocated matrix
1074: .  nrows - the number of LOCAL rows in the matrix
1075: -  ncols - the number of LOCAL columns in the matrix

1077:    Output Parameters:
1078: +  dnz - the array that will be passed to the matrix preallocation routines
1079: -  onz - the other array passed to the matrix preallocation routines

1081:    Level: deprecated (since v3.19)

1083:    Notes:
1084:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1085:    the use of this routine

1087:    This is a macro that handles its own error checking, it does not return an error code.

1089:    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines

1091:    Developer Note:
1092:    This is a MACRO, not a function, because it has a leading { that is closed by `PetscPreallocateFinalize()`.

1094: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1095:           `MatPreallocateSymmetricSetLocalBlock()`
1096: M*/
1097: #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
1098:   do { \
1099:     PetscInt              __nrows = (nrows), __ncols = (ncols), __rstart, __end = 0; \
1100:     PetscInt PETSC_UNUSED __start; \
1101:     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
1102:     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
1103:     __start = __end - __ncols; \
1104:     (void)__start; \
1105:     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
1106:   __rstart -= __nrows

1108: #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateBegin()", ) MatPreallocateBegin(__VA_ARGS__)

1110: /*MC
1111:    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1112:    inserted using a local number of the rows and columns

1114:    Synopsis:
1115: #include <petscmat.h>
1116:    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1118:    Not Collective

1120:    Input Parameters:
1121: +  map   - the row mapping from local numbering to global numbering
1122: .  nrows - the number of rows indicated
1123: .  rows  - the indices of the rows
1124: .  cmap  - the column mapping from local to global numbering
1125: .  ncols - the number of columns in the matrix
1126: .  cols  - the columns indicated
1127: .  dnz   - the array that will be passed to the matrix preallocation routines
1128: -  onz   - the other array passed to the matrix preallocation routines

1130:    Level: deprecated (since v3.19)

1132:    Notes:
1133:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1134:    the use of this routine

1136:    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines

1138: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`,
1139:           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
1140: M*/
1141: #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1142:   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));)

1144: /*MC
1145:    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1146:    inserted using a local number of the rows and columns. This version removes any duplicate columns in cols

1148:    Synopsis:
1149: #include <petscmat.h>
1150:    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1152:    Not Collective

1154:    Input Parameters:
1155: +  map   - the row mapping from local numbering to global numbering
1156: .  nrows - the number of rows indicated
1157: .  rows  - the indices of the rows (these values are mapped to the global values)
1158: .  cmap  - the column mapping from local to global numbering
1159: .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1160: .  cols  - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1161: .  dnz   - the array that will be passed to the matrix preallocation routines
1162: -  onz   - the other array passed to the matrix preallocation routines

1164:    Level: deprecated (since v3.19)

1166:    Notes:
1167:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1168:    the use of this routine

1170:    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines

1172: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`,
1173:           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1174: M*/
1175: #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1176:   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));)

1178: /*MC
1179:    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1180:    inserted using a local number of the rows and columns

1182:    Synopsis:
1183: #include <petscmat.h>
1184:    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1186:    Not Collective

1188:    Input Parameters:
1189: +  map   - the row mapping from local numbering to global numbering
1190: .  nrows - the number of rows indicated
1191: .  rows  - the indices of the rows
1192: .  cmap  - the column mapping from local to global numbering
1193: .  ncols - the number of columns in the matrix
1194: .  cols  - the columns indicated
1195: .  dnz   - the array that will be passed to the matrix preallocation routines
1196: -  onz   - the other array passed to the matrix preallocation routines

1198:    Level: deprecated (since v3.19)

1200:    Notes:
1201:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1202:    the use of this routine

1204:    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines

1206: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`,
1207:           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1208: M*/
1209: #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1210:   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));)

1212: /*MC
1213:    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1214:    inserted using a local number of the rows and columns

1216:    Synopsis:
1217: #include <petscmat.h>
1218:    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1220:    Not Collective

1222:    Input Parameters:
1223: +  map   - the mapping between local numbering and global numbering
1224: .  nrows - the number of rows indicated
1225: .  rows  - the indices of the rows
1226: .  ncols - the number of columns in the matrix
1227: .  cols  - the columns indicated
1228: .  dnz   - the array that will be passed to the matrix preallocation routines
1229: -  onz   - the other array passed to the matrix preallocation routines

1231:    Level: deprecated (since v3.19)

1233:    Notes:
1234:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1235:    the use of this routine

1237:    Do not malloc or free `dnz` and `onz` that is handled internally by these routines

1239: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`,
1240:           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1241: M*/
1242: #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1243:   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));)

1245: /*MC
1246:    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1247:    inserted using a local number of the rows and columns

1249:    Synopsis:
1250: #include <petscmat.h>
1251:    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1253:    Not Collective

1255:    Input Parameters:
1256: +  row   - the row
1257: .  ncols - the number of columns in the matrix
1258: -  cols  - the columns indicated

1260:    Output Parameters:
1261: +  dnz - the array that will be passed to the matrix preallocation routines
1262: -  onz - the other array passed to the matrix preallocation routines

1264:    Level: deprecated (since v3.19)

1266:    Notes:
1267:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1268:    the use of this routine

1270:    Do not malloc or free `dnz` and `onz` that is handled internally by these routines

1272:    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().

1274: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`,
1275:           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1276: M*/
1277: #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1278:   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) { \
1279:     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1280:     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1281:   })

1283: /*MC
1284:    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1285:    inserted using a local number of the rows and columns

1287:    Synopsis:
1288: #include <petscmat.h>
1289:    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1291:    Not Collective

1293:    Input Parameters:
1294: +  nrows - the number of rows indicated
1295: .  rows  - the indices of the rows
1296: .  ncols - the number of columns in the matrix
1297: .  cols  - the columns indicated
1298: .  dnz   - the array that will be passed to the matrix preallocation routines
1299: -  onz   - the other array passed to the matrix preallocation routines

1301:    Level: deprecated (since v3.19)

1303:    Notes:
1304:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1305:    the use of this routine

1307:    Do not malloc or free `dnz` and `onz` that is handled internally by these routines

1309:    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().

1311: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1312:           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1313: M*/
1314: #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1315:   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
1316:     if (cols[__i] >= __end) onz[row - __rstart]++; \
1317:     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1318:   })

1320: /*MC
1321:    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists

1323:    Synopsis:
1324: #include <petscmat.h>
1325:    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)

1327:    Not Collective

1329:    Input Parameters:
1330: +  A     - matrix
1331: .  row   - row where values exist (must be local to this process)
1332: .  ncols - number of columns
1333: .  cols  - columns with nonzeros
1334: .  dnz   - the array that will be passed to the matrix preallocation routines
1335: -  onz   - the other array passed to the matrix preallocation routines

1337:    Level: deprecated (since v3.19)

1339:    Notes:
1340:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1341:    the use of this routine

1343:    Do not malloc or free `dnz` and `onz` that is handled internally by these routines

1345:    Developer Note:
1346:    This is a MACRO, not a function, because it uses a bunch of variables private to the MatPreallocation.... routines.

1348: .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1349:           `MatPreallocateSymmetricSetLocalBlock()`
1350: M*/
1351: #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))

1353: /*MC
1354:    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1355:    row in a matrix providing the data that one can use to correctly preallocate the matrix.

1357:    Synopsis:
1358: #include <petscmat.h>
1359:    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)

1361:    Collective

1363:    Input Parameters:
1364: +  dnz - the array that was be passed to the matrix preallocation routines
1365: -  onz - the other array passed to the matrix preallocation routines

1367:    Level: deprecated (since v3.19)

1369:    Notes:
1370:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1371:    the use of this routine

1373:    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines

1375:    Developer Note:
1376:    This is a MACRO, not a function, because it closes the { started in MatPreallocateBegin().

1378: .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1379:           `MatPreallocateSymmetricSetLocalBlock()`
1380: M*/
1381: #define MatPreallocateEnd(dnz, onz) \
1382:   PetscCall(PetscFree2(dnz, onz)); \
1383:   } \
1384:   while (0)

1386: #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateEnd()", ) MatPreallocateEnd(__VA_ARGS__)

1388: /* Routines unique to particular data structures */
1389: PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, PetscCtxRt);

1391: PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1392: PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);

1394: PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1395: PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1396: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1397: PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1398: PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1399: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscCount, PetscBool);

1401: #define MAT_SKIP_ALLOCATION -4

1403: PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1404: PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1405: PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1406: PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);

1408: PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1409: PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1410: PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1411: PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1412: PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1413: PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1414: PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1415: PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1416: PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1417: PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1418: PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1419: PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1420: PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1421: PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1422: PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);

1424: PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1425: PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1426: PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatDenseSetLDA()", ) static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
1427: {
1428:   return MatDenseSetLDA(A, lda);
1429: }
1430: PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);

1432: PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);

1434: PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1435: PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);

1437: PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1438: PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1439: /*
1440:   These routines are not usually accessed directly, rather solving is
1441:   done through the KSP and PC interfaces.
1442: */

1444: /*J
1445:    MatOrderingType - String with the name of a PETSc matrix ordering. These orderings are most commonly used
1446:    to reduce fill in sparse factorizations.

1448:    Level: beginner

1450:    Notes:
1451:    If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and instead the external factorization solver package called utilizes one
1452:    of its own.

1454:    There is no `MatOrdering` object, the ordering is obtained directly from the matrix with `MatGetOrdering()`

1456:    Developer Note:
1457:    This API should be converted to an API similar to those for `MatColoring` and `MatPartitioning`

1459: .seealso: [](ch_matrices), [](sec_graph), `MatGetFactor()`, `MatGetOrdering()`, `MatColoringType`, `MatPartitioningType`, `MatCoarsenType`, `PCFactorSetOrderingType()`
1460: J*/
1461: typedef const char *MatOrderingType;
1462: #define MATORDERINGNATURAL       "natural"
1463: #define MATORDERINGND            "nd"
1464: #define MATORDERING1WD           "1wd"
1465: #define MATORDERINGRCM           "rcm"
1466: #define MATORDERINGQMD           "qmd"
1467: #define MATORDERINGROWLENGTH     "rowlength"
1468: #define MATORDERINGWBM           "wbm"
1469: #define MATORDERINGSPECTRAL      "spectral"
1470: #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1471: #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1472: #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 */
1473: #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */

1475: PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1476: PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1477: PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1478: PETSC_EXTERN PetscFunctionList MatOrderingList;

1480: #include "petscmatcoarsen.h"

1482: PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1483: PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);

1485: PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);

1487: /*S
1488:    MatFactorShiftType - Type of numeric shift used for factorizations

1490:    Values:
1491: +  `MAT_SHIFT_NONE`              - do not shift the matrix diagonal entries
1492: .  `MAT_SHIFT_NONZERO`           - shift the entries to be non-zero
1493: .  `MAT_SHIFT_POSITIVE_DEFINITE` - shift the entries to force the factorization to be positive definite
1494: -  `MAT_SHIFT_INBLOCKS`          - only shift the factors inside the small dense diagonal blocks of the matrix, for example with `MATBAIJ`

1496:    Level: intermediate

1498: .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `PCFactorSetShiftType()`
1499: S*/
1500: typedef enum {
1501:   MAT_SHIFT_NONE,
1502:   MAT_SHIFT_NONZERO,
1503:   MAT_SHIFT_POSITIVE_DEFINITE,
1504:   MAT_SHIFT_INBLOCKS
1505: } MatFactorShiftType;
1506: PETSC_EXTERN const char *const MatFactorShiftTypes[];
1507: PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];

1509: /*S
1510:     MatFactorError - indicates what type of error was generated in a matrix factorization

1512:     Values:
1513: +   `MAT_FACTOR_NOERROR`           - there was no error during the factorization
1514: .   `MAT_FACTOR_STRUCT_ZEROPIVOT`  - there was a missing entry in a diagonal location of the matrix
1515: .   `MAT_FACTOR_NUMERIC_ZEROPIVOT` - there was a (near) zero pivot during the factorization
1516: .   `MAT_FACTOR_OUTMEMORY`         - the factorization has run out of memory
1517: -   `MAT_FACTOR_OTHER`             - some other error has occurred.

1519:     Level: intermediate

1521:     Note:
1522:     When a factorization is done in a preconditioner `PC` the error may be propagated up to a `PCFailedReason` or a `KSPConvergedReason`

1524: .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `MatFactorGetError()`, `MatFactorGetErrorZeroPivot()`, `MatFactorClearError()`,
1525:           `PCFailedReason`, `PCGetFailedReason()`, `KSPConvergedReason`
1526: S*/
1527: typedef enum {
1528:   MAT_FACTOR_NOERROR,
1529:   MAT_FACTOR_STRUCT_ZEROPIVOT,
1530:   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1531:   MAT_FACTOR_OUTMEMORY,
1532:   MAT_FACTOR_OTHER
1533: } MatFactorError;

1535: PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1536: PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1537: PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);

1539: /*S
1540:    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization

1542:    Level: developer

1544:    Note:
1545:    You can use `MatFactorInfoInitialize()` to set default values.

1547:    Fortran Note:
1548:    `MatFactorInfo` is a derived type, use e.g. `matfactorinfo%dt` to access its components.

1550: .seealso: [](ch_matrices), `Mat`, `MatInfo`, `MatGetFactor()`, `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`,
1551:           `MatICCFactorSymbolic()`, `MatICCFactor()`, `MatFactorInfoInitialize()`
1552: S*/
1553: typedef struct {
1554:   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1555:   PetscReal usedt;
1556:   PetscReal dt;            /* drop tolerance */
1557:   PetscReal dtcol;         /* tolerance for pivoting */
1558:   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1559:   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1560:   PetscReal levels;        /* ICC/ILU(levels) */
1561:   PetscReal pivotinblocks; /* BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0 factorization may be faster if do not pivot */
1562:   PetscReal zeropivot;     /* pivot is called zero if less than this */
1563:   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1564:   PetscReal shiftamount;   /* how large the shift is */
1565:   PetscBool factoronhost;  /* do factorization on host instead of device (for device matrix types) */
1566:   PetscBool solveonhost;   /* do mat solve on host with the factor (for device matrix types) */
1567: } MatFactorInfo;

1569: PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1570: PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1571: PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1572: PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1573: PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1574: PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1575: PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1576: PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1577: PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1578: PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1579: PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1580: PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1581: PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1582: PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1583: PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1584: PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1585: PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1586: PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1587: PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1588: PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1589: PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1590: PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1591: PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);

1593: typedef enum {
1594:   MAT_FACTOR_SCHUR_UNFACTORED,
1595:   MAT_FACTOR_SCHUR_FACTORED,
1596:   MAT_FACTOR_SCHUR_INVERTED
1597: } MatFactorSchurStatus;
1598: PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1599: PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1600: PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1601: PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1602: PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1603: PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1604: PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1605: PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);

1607: PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1608: /*E
1609:    MatSORType - What type of (S)SOR to perform

1611:    Values:
1612: +  `SOR_FORWARD_SWEEP`         - do a sweep from the first row of the matrix to the last
1613: .  `SOR_BACKWARD_SWEEP`        - do a sweep from the last row to the first
1614: .  `SOR_SYMMETRIC_SWEEP`       - do a sweep from the first row to the last and then back to the first
1615: .  `SOR_LOCAL_FORWARD_SWEEP`   - each MPI process does its own forward sweep with no communication
1616: .  `SOR_LOCAL_BACKWARD_SWEEP`  - each MPI process does its own backward sweep with no communication
1617: .  `SOR_LOCAL_SYMMETRIC_SWEEP` - each MPI process does its own symmetric sweep with no communication
1618: .  `SOR_ZERO_INITIAL_GUESS`    - indicates the initial solution is zero so the sweep can avoid unneeded computation
1619: .  `SOR_EISENSTAT`             - apply the Eisentat application of SOR, see `PCEISENSTAT`
1620: .  `SOR_APPLY_UPPER`           - multiply by the upper triangular portion of the matrix
1621: -  `SOR_APPLY_LOWER`           - multiply by the lower triangular portion of the matrix

1623:    Level: beginner

1625:    Note:
1626:    These may be bitwise ORd together

1628:    Developer Note:
1629:    Since `MatSORType` may be bitwise ORd together, so do not change the numerical values below

1631: .seealso: [](ch_matrices), `MatSOR()`
1632: E*/
1633: typedef enum {
1634:   SOR_FORWARD_SWEEP         = 1,
1635:   SOR_BACKWARD_SWEEP        = 2,
1636:   SOR_SYMMETRIC_SWEEP       = 3,
1637:   SOR_LOCAL_FORWARD_SWEEP   = 4,
1638:   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1639:   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1640:   SOR_ZERO_INITIAL_GUESS    = 16,
1641:   SOR_EISENSTAT             = 32,
1642:   SOR_APPLY_UPPER           = 64,
1643:   SOR_APPLY_LOWER           = 128
1644: } MatSORType;
1645: PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);

1647: /*S
1648:    MatColoring - Object for managing the coloring of matrices.

1650:    Level: beginner

1652:    Notes:
1653:    Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1654:    matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).

1656:    Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1657:    same object can also be used to efficiently convert data created by Automatic Differentiation tools to PETSc sparse matrices.

1659: .seealso: [](ch_matrices), [](sec_graph), `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`,
1660:           `MatPartitioning`, `MatColoringType`, `MatPartitioningType`, `MatOrderingType`, `MatColoringSetWeightType()`,
1661:           `MatColoringSetWeights()`, `MatCoarsenType`, `MatCoarsen`
1662: S*/
1663: typedef struct _p_MatColoring *MatColoring;

1665: /*J
1666:    MatColoringType - String with the name of a PETSc matrix coloring

1668:    Level: beginner

1670: .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatFDColoringCreate()`, `MatColoringSetType()`, `MatColoring`
1671: J*/
1672: typedef const char *MatColoringType;
1673: #define MATCOLORINGJP      "jp"
1674: #define MATCOLORINGPOWER   "power"
1675: #define MATCOLORINGNATURAL "natural"
1676: #define MATCOLORINGSL      "sl"
1677: #define MATCOLORINGLF      "lf"
1678: #define MATCOLORINGID      "id"
1679: #define MATCOLORINGGREEDY  "greedy"

1681: /*E
1682:    MatColoringWeightType - Type of weight scheme used for the coloring algorithm

1684:    Values:
1685: +  `MAT_COLORING_RANDOM`  - Random weights
1686: .  `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1687: -  `MAT_COLORING_LF`      - Last-first weighting.

1689:     Level: intermediate

1691: .seealso: [](ch_matrices), `MatColoring`, `MatColoringCreate()`, `MatColoringSetWeightType()`, `MatColoringSetWeights()`
1692: E*/
1693: typedef enum {
1694:   MAT_COLORING_WEIGHT_RANDOM,
1695:   MAT_COLORING_WEIGHT_LEXICAL,
1696:   MAT_COLORING_WEIGHT_LF,
1697:   MAT_COLORING_WEIGHT_SL
1698: } MatColoringWeightType;

1700: PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1701: PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1702: PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1703: PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1704: PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1705: PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1706: PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1707: PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1708: PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1709: PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1710: PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1711: PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1712: PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1713: PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1714: PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1715: PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1716: PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1717: PETSC_DEPRECATED_FUNCTION(3, 10, 0, "MatColoringTest()", ) static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
1718: {
1719:   return MatColoringTest(matcoloring, iscoloring);
1720: }
1721: PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);

1723: /*S
1724:    MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring

1726:    Level: beginner

1728:    Options Database Key:
1729: .  -snes_fd_coloring - cause the Jacobian needed by `SNES` to be computed via a use of this object

1731:    Note:
1732:    This object is created utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`

1734: .seealso: [](ch_matrices), `Mat`, `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1735: S*/
1736: typedef struct _p_MatFDColoring *MatFDColoring;

1738: /*S
1739:   MatFDColoringFn - Function provided to `MatFDColoringSetFunction()` that computes the function being differenced

1741:   Level: advanced

1743:   Calling Sequence:
1744: + snes - either a `SNES` object if used within `SNES` otherwise an unused parameter
1745: . in   - the location where the Jacobian is to be computed
1746: . out  - the location to put the computed function value
1747: - fctx - the function context passed into `MatFDColoringSetFunction()`

1749: .seealso: [](ch_matrices), `Mat`, `MatCreateMFFD()`, `MatMFFDSetFunction()`, `MatMFFDiFn`, `MatMFFDiBaseFn`
1750: S*/
1751: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatFDColoringFn(void *snes, Vec x, Vec y, void *fctx);

1753: PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1754: PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1755: PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1756: PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, MatFDColoringFn *, void *);
1757: PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, MatFDColoringFn **, void **);
1758: PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1759: PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1760: PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1761: PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1762: PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1763: PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1764: PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1765: PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);

1767: /*S
1768:    MatTransposeColoring - Object for computing a sparse matrix product $C = A*B^T$ via coloring

1770:    Level: developer

1772: .seealso: [](ch_matrices), `Mat`, `MatProductType`, `MatTransposeColoringCreate()`
1773: S*/
1774: typedef struct _p_MatTransposeColoring *MatTransposeColoring;

1776: PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1777: PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1778: PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1779: PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);

1781: /*S
1782:    MatPartitioning - Object for managing the partitioning of a matrix or graph

1784:    Level: beginner

1786:    Note:
1787:    There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1788:    via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)

1790:    Developer Note:
1791:    It is an extra maintenance and documentation cost to have two objects with the same functionality. `PetscPartitioner` should be removed

1793: .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`, `MatOrderingType`,
1794:           `MatCoarsenType`
1795: S*/
1796: typedef struct _p_MatPartitioning *MatPartitioning;

1798: /*J
1799:     MatPartitioningType - String with the name of a PETSc matrix partitioning

1801:    Level: beginner
1802: dm
1803: .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`, `MatColoringType`, `MatOrderingType`,
1804:           `MatCoarsenType`
1805: J*/
1806: typedef const char *MatPartitioningType;
1807: #define MATPARTITIONINGCURRENT  "current"
1808: #define MATPARTITIONINGAVERAGE  "average"
1809: #define MATPARTITIONINGSQUARE   "square"
1810: #define MATPARTITIONINGPARMETIS "parmetis"
1811: #define MATPARTITIONINGCHACO    "chaco"
1812: #define MATPARTITIONINGPARTY    "party"
1813: #define MATPARTITIONINGPTSCOTCH "ptscotch"
1814: #define MATPARTITIONINGHIERARCH "hierarch"

1816: PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1817: PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1818: PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1819: PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1820: PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1821: PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1822: PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1823: PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1824: PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1825: PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1826: PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1827: PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1828: PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1829: PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1830: PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1831: PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1832: PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1833: PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1834: PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);

1836: PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning);
1837: PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1838: PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);

1840: typedef enum {
1841:   MP_CHACO_MULTILEVEL = 1,
1842:   MP_CHACO_SPECTRAL   = 2,
1843:   MP_CHACO_LINEAR     = 4,
1844:   MP_CHACO_RANDOM     = 5,
1845:   MP_CHACO_SCATTERED  = 6
1846: } MPChacoGlobalType;
1847: PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1848: typedef enum {
1849:   MP_CHACO_KERNIGHAN = 1,
1850:   MP_CHACO_NONE      = 2
1851: } MPChacoLocalType;
1852: PETSC_EXTERN const char *const MPChacoLocalTypes[];
1853: typedef enum {
1854:   MP_CHACO_LANCZOS = 0,
1855:   MP_CHACO_RQI     = 1
1856: } MPChacoEigenType;
1857: PETSC_EXTERN const char *const MPChacoEigenTypes[];

1859: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1860: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1861: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1862: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1863: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1864: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1865: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1866: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1867: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1868: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1869: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);

1871: #define MP_PARTY_OPT "opt"
1872: #define MP_PARTY_LIN "lin"
1873: #define MP_PARTY_SCA "sca"
1874: #define MP_PARTY_RAN "ran"
1875: #define MP_PARTY_GBF "gbf"
1876: #define MP_PARTY_GCF "gcf"
1877: #define MP_PARTY_BUB "bub"
1878: #define MP_PARTY_DEF "def"
1879: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1880: #define MP_PARTY_HELPFUL_SETS  "hs"
1881: #define MP_PARTY_KERNIGHAN_LIN "kl"
1882: #define MP_PARTY_NONE          "no"
1883: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1884: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1885: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1886: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);

1888: typedef enum {
1889:   MP_PTSCOTCH_DEFAULT,
1890:   MP_PTSCOTCH_QUALITY,
1891:   MP_PTSCOTCH_SPEED,
1892:   MP_PTSCOTCH_BALANCE,
1893:   MP_PTSCOTCH_SAFETY,
1894:   MP_PTSCOTCH_SCALABILITY
1895: } MPPTScotchStrategyType;
1896: PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];

1898: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1899: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1900: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1901: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);

1903: /*
1904:  * hierarchical partitioning
1905:  */
1906: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1907: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1908: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1909: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);

1911: PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);

1913: /*
1914:     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/petsc4py/PETSc/libpetsc4py.pyx
1915: */
1916: typedef enum {
1917:   MATOP_SET_VALUES                = 0,
1918:   MATOP_GET_ROW                   = 1,
1919:   MATOP_RESTORE_ROW               = 2,
1920:   MATOP_MULT                      = 3,
1921:   MATOP_MULT_ADD                  = 4,
1922:   MATOP_MULT_TRANSPOSE            = 5,
1923:   MATOP_MULT_TRANSPOSE_ADD        = 6,
1924:   MATOP_SOLVE                     = 7,
1925:   MATOP_SOLVE_ADD                 = 8,
1926:   MATOP_SOLVE_TRANSPOSE           = 9,
1927:   MATOP_SOLVE_TRANSPOSE_ADD       = 10,
1928:   MATOP_LUFACTOR                  = 11,
1929:   MATOP_CHOLESKYFACTOR            = 12,
1930:   MATOP_SOR                       = 13,
1931:   MATOP_TRANSPOSE                 = 14,
1932:   MATOP_GETINFO                   = 15,
1933:   MATOP_EQUAL                     = 16,
1934:   MATOP_GET_DIAGONAL              = 17,
1935:   MATOP_DIAGONAL_SCALE            = 18,
1936:   MATOP_NORM                      = 19,
1937:   MATOP_ASSEMBLY_BEGIN            = 20,
1938:   MATOP_ASSEMBLY_END              = 21,
1939:   MATOP_SET_OPTION                = 22,
1940:   MATOP_ZERO_ENTRIES              = 23,
1941:   MATOP_ZERO_ROWS                 = 24,
1942:   MATOP_LUFACTOR_SYMBOLIC         = 25,
1943:   MATOP_LUFACTOR_NUMERIC          = 26,
1944:   MATOP_CHOLESKY_FACTOR_SYMBOLIC  = 27,
1945:   MATOP_CHOLESKY_FACTOR_NUMERIC   = 28,
1946:   MATOP_SETUP                     = 29,
1947:   MATOP_ILUFACTOR_SYMBOLIC        = 30,
1948:   MATOP_ICCFACTOR_SYMBOLIC        = 31,
1949:   MATOP_GET_DIAGONAL_BLOCK        = 32,
1950:   MATOP_SET_INF                   = 33,
1951:   MATOP_DUPLICATE                 = 34,
1952:   MATOP_FORWARD_SOLVE             = 35,
1953:   MATOP_BACKWARD_SOLVE            = 36,
1954:   MATOP_ILUFACTOR                 = 37,
1955:   MATOP_ICCFACTOR                 = 38,
1956:   MATOP_AXPY                      = 39,
1957:   MATOP_CREATE_SUBMATRICES        = 40,
1958:   MATOP_INCREASE_OVERLAP          = 41,
1959:   MATOP_GET_VALUES                = 42,
1960:   MATOP_COPY                      = 43,
1961:   MATOP_GET_ROW_MAX               = 44,
1962:   MATOP_SCALE                     = 45,
1963:   MATOP_SHIFT                     = 46,
1964:   MATOP_DIAGONAL_SET              = 47,
1965:   MATOP_ZERO_ROWS_COLUMNS         = 48,
1966:   MATOP_SET_RANDOM                = 49,
1967:   MATOP_GET_ROW_IJ                = 50,
1968:   MATOP_RESTORE_ROW_IJ            = 51,
1969:   MATOP_GET_COLUMN_IJ             = 52,
1970:   MATOP_RESTORE_COLUMN_IJ         = 53,
1971:   MATOP_FDCOLORING_CREATE         = 54,
1972:   MATOP_COLORING_PATCH            = 55,
1973:   MATOP_SET_UNFACTORED            = 56,
1974:   MATOP_PERMUTE                   = 57,
1975:   MATOP_SET_VALUES_BLOCKED        = 58,
1976:   MATOP_CREATE_SUBMATRIX          = 59,
1977:   MATOP_DESTROY                   = 60,
1978:   MATOP_VIEW                      = 61,
1979:   MATOP_CONVERT_FROM              = 62,
1980:   MATOP_MATMAT_MULT_SYMBOLIC      = 63,
1981:   MATOP_MATMAT_MULT_NUMERIC       = 64,
1982:   MATOP_SET_LOCAL_TO_GLOBAL_MAP   = 65,
1983:   MATOP_SET_VALUES_LOCAL          = 66,
1984:   MATOP_ZERO_ROWS_LOCAL           = 67,
1985:   MATOP_GET_ROW_MAX_ABS           = 68,
1986:   MATOP_GET_ROW_MIN_ABS           = 69,
1987:   MATOP_CONVERT                   = 70,
1988:   MATOP_HAS_OPERATION             = 71,
1989:   MATOP_FD_COLORING_APPLY         = 72,
1990:   MATOP_SET_FROM_OPTIONS          = 73,
1991:   MATOP_FIND_ZERO_DIAGONALS       = 74,
1992:   MATOP_MULT_MULTIPLE             = 75,
1993:   MATOP_SOLVE_MULTIPLE            = 76,
1994:   MATOP_GET_INERTIA               = 77,
1995:   MATOP_LOAD                      = 78,
1996:   MATOP_IS_SYMMETRIC              = 79,
1997:   MATOP_IS_HERMITIAN              = 80,
1998:   MATOP_IS_STRUCTURALLY_SYMMETRIC = 81,
1999:   MATOP_SET_VALUES_BLOCKEDLOCAL   = 82,
2000:   MATOP_CREATE_VECS               = 83,
2001:   MATOP_MAT_MULT_SYMBOLIC         = 84,
2002:   MATOP_MAT_MULT_NUMERIC          = 85,
2003:   MATOP_PTAP_NUMERIC              = 86,
2004:   MATOP_MAT_TRANSPOSE_MULT_SYMBO  = 87,
2005:   MATOP_MAT_TRANSPOSE_MULT_NUMER  = 88,
2006:   MATOP_BIND_TO_CPU               = 89,
2007:   MATOP_PRODUCTSETFROMOPTIONS     = 90,
2008:   MATOP_PRODUCTSYMBOLIC           = 91,
2009:   MATOP_PRODUCTNUMERIC            = 92,
2010:   MATOP_CONJUGATE                 = 93,
2011:   MATOP_VIEW_NATIVE               = 94,
2012:   MATOP_SET_VALUES_ROW            = 95,
2013:   MATOP_REAL_PART                 = 96,
2014:   MATOP_IMAGINARY_PART            = 97,
2015:   MATOP_GET_ROW_UPPER_TRIANGULAR  = 98,
2016:   MATOP_RESTORE_ROW_UPPER_TRIANG  = 99,
2017:   MATOP_MAT_SOLVE                 = 100,
2018:   MATOP_MAT_SOLVE_TRANSPOSE       = 101,
2019:   MATOP_GET_ROW_MIN               = 102,
2020:   MATOP_GET_COLUMN_VECTOR         = 103,
2021:   MATOP_GET_SEQ_NONZERO_STRUCTUR  = 104,
2022:   MATOP_CREATE                    = 105,
2023:   MATOP_GET_GHOSTS                = 106,
2024:   MATOP_GET_LOCAL_SUB_MATRIX      = 107,
2025:   MATOP_RESTORE_LOCALSUB_MATRIX   = 108,
2026:   MATOP_MULT_DIAGONAL_BLOCK       = 109,
2027:   MATOP_HERMITIAN_TRANSPOSE       = 110,
2028:   MATOP_MULT_HERMITIAN_TRANSPOSE  = 111,
2029:   MATOP_MULT_HERMITIAN_TRANS_ADD  = 112,
2030:   MATOP_GET_MULTI_PROC_BLOCK      = 113,
2031:   MATOP_FIND_NONZERO_ROWS         = 114,
2032:   MATOP_GET_COLUMN_NORMS          = 115,
2033:   MATOP_INVERT_BLOCK_DIAGONAL     = 116,
2034:   MATOP_INVERT_VBLOCK_DIAGONAL    = 117,
2035:   MATOP_CREATE_SUB_MATRICES_MPI   = 118,
2036:   MATOP_SET_VALUES_BATCH          = 119,
2037:   MATOP_TRANSPOSE_MAT_MULT_SYMBO  = 120,
2038:   MATOP_TRANSPOSE_MAT_MULT_NUMER  = 121,
2039:   MATOP_TRANSPOSE_COLORING_CREAT  = 122,
2040:   MATOP_TRANS_COLORING_APPLY_SPT  = 123,
2041:   MATOP_TRANS_COLORING_APPLY_DEN  = 124,
2042:   MATOP_RART_NUMERIC              = 125,
2043:   MATOP_SET_BLOCK_SIZES           = 126,
2044:   MATOP_RESIDUAL                  = 127,
2045:   MATOP_FDCOLORING_SETUP          = 128,
2046:   MATOP_FIND_OFFBLOCK_ENTRIES     = 129,
2047:   MATOP_MPICONCATENATESEQ         = 130,
2048:   MATOP_DESTROYSUBMATRICES        = 131,
2049:   MATOP_MAT_TRANSPOSE_SOLVE       = 132,
2050:   MATOP_GET_VALUES_LOCAL          = 133,
2051:   MATOP_CREATE_GRAPH              = 134,
2052:   MATOP_TRANSPOSE_SYMBOLIC        = 135,
2053:   MATOP_ELIMINATE_ZEROS           = 136,
2054:   MATOP_GET_ROW_SUM_ABS           = 137,
2055:   MATOP_GET_FACTOR                = 138,
2056:   MATOP_GET_BLOCK_DIAGONAL        = 139, /* NOTE: caller of the two op functions owns the returned matrix */
2057:   MATOP_GET_VBLOCK_DIAGONAL       = 140, /* and need to destroy it after use. */
2058:   MATOP_COPY_HASH_TO_XAIJ         = 141,
2059:   MATOP_GET_CURRENT_MEM_TYPE      = 142,
2060:   MATOP_ZERO_ROWS_COLUMNS_LOCAL   = 143,
2061:   MATOP_ADOT                      = 144,
2062:   MATOP_ANORM                     = 145,
2063:   MATOP_ADOT_LOCAL                = 146,
2064:   MATOP_ANORM_LOCAL               = 147
2065: } MatOperation;

2067: PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, PetscErrorCodeFn *);
2068: PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, PetscErrorCodeFn **);
2069: PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
2070: PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
2071: PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatProductClear()", ) static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
2072: {
2073:   return MatProductClear(A);
2074: }
2075: PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, PetscErrorCodeFn *);
2076: PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, PetscErrorCodeFn **);
2077: PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, PetscCtx);
2078: PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscCtxDestroyFn *);
2079: PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
2080: PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2081: PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2082: PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
2083: PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscCtxDestroyFn *, MatType, MatType);
2084: PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);

2086: /*
2087:    Codes for matrices stored on disk. By default they are
2088:    stored in a universal format. By changing the format with
2089:    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
2090:    be stored in a way natural for the matrix, for example dense matrices
2091:    would be stored as dense. Matrices stored this way may only be
2092:    read into matrices of the same type.
2093: */
2094: #define MATRIX_BINARY_FORMAT_DENSE -1

2096: PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);

2098: PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
2099: PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
2100: PETSC_EXTERN PetscErrorCode MatISSetAllowRepeated(Mat, PetscBool);
2101: PETSC_EXTERN PetscErrorCode MatISGetAllowRepeated(Mat, PetscBool *);
2102: PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
2103: PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
2104: PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
2105: PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
2106: PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
2107: PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);

2109: /*S
2110:    MatNullSpace - Object that removes a null space from a vector, i.e.
2111:                   orthogonalizes the vector to a subspace

2113:    Level: advanced

2115: .seealso: [](ch_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2116: S*/
2117: typedef struct _p_MatNullSpace *MatNullSpace;

2119: /*S
2120:   MatNullSpaceRemoveFn - Function provided to `MatNullSpaceSetFunction()` that removes the null space from a vector

2122:   Level: advanced

2124:   Calling Sequence:
2125: + nsp - the `MatNullSpace` object
2126: . x   - the vector from which to remove the null space
2127: - ctx - [optional] user-defined function context provided with `MatNullSpaceSetFunction()`

2129: .seealso: [](ch_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2130: S*/
2131: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatNullSpaceRemoveFn(MatNullSpace nsp, Vec x, PetscCtx ctx);

2133: PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
2134: PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, MatNullSpaceRemoveFn *, void *);
2135: PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
2136: PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
2137: PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
2138: PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
2139: PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
2140: PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
2141: PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
2142: PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
2143: PETSC_EXTERN PetscErrorCode MatGetNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2144: PETSC_EXTERN PetscErrorCode MatRestoreNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2145: PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
2146: PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
2147: PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
2148: PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);

2150: PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
2151: PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
2152: PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);

2154: PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
2155: PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
2156: PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);

2158: PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
2159: PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);

2161: PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperator()", ) static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
2162: {
2163:   return MatComputeOperator(A, PETSC_NULLPTR, B);
2164: }
2165: PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperatorTranspose()", ) static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
2166: {
2167:   return MatComputeOperatorTranspose(A, PETSC_NULLPTR, B);
2168: }

2170: PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
2171: PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
2172: PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
2173: PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2174: PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
2175: PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
2176: PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
2177: PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2178: PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
2179: PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
2180: PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
2181: PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
2182: PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
2183: PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);

2185: PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);

2187: PETSC_EXTERN PetscErrorCode MatMFFDInitializePackage(void);
2188: PETSC_EXTERN PetscErrorCode MatMFFDFinalizePackage(void);

2190: /*S
2191:   MatMFFDFn - Function provided to `MatMFFDSetFunction()` that computes the function being differenced

2193:   Level: advanced

2195:   Calling Sequence:
2196: + ctx - [optional] user-defined function context provided with `MatMFFDSetFunction()`
2197: . x   - input vector
2198: - y   - output vector

2200: .seealso: [](ch_matrices), `Mat`, `MatCreateMFFD()`, `MatMFFDSetFunction()`, `MatMFFDiFn`, `MatMFFDiBaseFn`
2201: S*/
2202: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatMFFDFn(PetscCtx ctx, Vec x, Vec y);

2204: /*S
2205:   MatMFFDiFn - Function provided to `MatMFFDSetFunctioni()` that computes the function being differenced at a single point

2207:   Level: advanced

2209:   Calling Sequence:
2210: + ctx    - [optional] user-defined function context provided with `MatMFFDSetFunction()`
2211: . i      - the component of the vector to compute
2212: . x      - input vector
2213: - result - the value of the function at that component (output)

2215: .seealso: [](ch_matrices), `Mat`, `MatCreateMFFD()`, `MatMFFDSetFunction()`, `MatMFFDFn`, `MatMFFDiBaseFn`
2216: S*/
2217: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatMFFDiFn(PetscCtx ctx, PetscInt i, Vec x, PetscScalar *result);

2219: /*S
2220:   MatMFFDiBaseFn - Function provided to `MatMFFDSetFunctioniBase()` that computes the base of the function evaluations
2221:   that will be used for differencing

2223:   Level: advanced

2225:   Calling Sequence:
2226: + ctx - [optional] user-defined function context provided with `MatMFFDSetFunction()`
2227: - x   - input base vector

2229: .seealso: [](ch_matrices), `Mat`, `MatCreateMFFD()`, `MatMFFDSetFunction()`, `MatMFFDSetFunctioniBase()`, `MatMFFDFn`, `MatMFFDiFn`
2230: S*/
2231: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatMFFDiBaseFn(PetscCtx ctx, Vec x);

2233: /*S
2234:   MatMFFDCheckhFn - Function provided to `MatMFFDSetCheckh()` that checks and possibly adjusts the value of `h` to ensure some property.
2235:   that will be used for differencing

2237:   Level: advanced

2239:   Calling Sequence:
2240: + ctx - [optional] user-defined function context provided with `MatMFFDSetCheckh()`
2241: . x   - input base vector
2242: . y   - input step vector that the product is computed with
2243: - h   - input tentative step, output possibly adjusted step

2245:   Note:
2246:   `MatMFFDCheckPositivity()` is one such function

2248: .seealso: [](ch_matrices), `Mat`, `MatCreateMFFD()`, `MatMFFDSetCheckh()`, `MatMFFDCheckPositivity()`
2249: S*/
2250: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatMFFDCheckhFn(PetscCtx ctx, Vec x, Vec y, PetscScalar *h);

2252: PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2253: PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
2254: PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, MatMFFDFn *, void *);
2255: PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, MatMFFDiFn *);
2256: PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, MatMFFDiBaseFn *);
2257: PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
2258: PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
2259: PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
2260: PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
2261: PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
2262: PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
2263: PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
2264: PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, MatMFFDCheckhFn *, void *);

2266: /*S
2267:     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2268:               Jacobian vector products

2270:     Level: developer

2272:     Notes:
2273:     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure

2275:      MatMFFD*() methods actually take the `Mat` as their first argument. Not a `MatMFFD` data structure

2277:     This functionality is often obtained using `MatCreateSNESMF()` or with `SNES` solvers using `-snes_mf` or `-snes_mf_operator`

2279: .seealso: [](ch_matrices), `MatMFFDType`, `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`,
2280:           `MatCreateSNESMF()`, `SNES`, `-snes_mf`, `-snes_mf_operator`
2281: S*/
2282: typedef struct _p_MatMFFD *MatMFFD;

2284: /*J
2285:    MatMFFDType - algorithm used to compute the `h` used in computing matrix-vector products via differencing of a function

2287:    Values:
2288: +   `MATMFFD_DS` - an algorithm described by Dennis and Schnabel {cite}`dennis:83`
2289: -   `MATMFFD_WP` - the Walker-Pernice {cite}`pw98` strategy.

2291:    Level: beginner

2293: .seealso: [](ch_matrices), `MatMFFDSetType()`, `MatMFFDRegister()`, `MatMFFDSetFunction()`, `MatCreateMFFD()`
2294: J*/
2295: typedef const char *MatMFFDType;
2296: #define MATMFFD_DS "ds"
2297: #define MATMFFD_WP "wp"

2299: PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2300: PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));

2302: PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2303: PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);

2305: PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);

2307: PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2308: PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);

2310: #ifdef PETSC_HAVE_H2OPUS
2311: PETSC_EXTERN_TYPEDEF typedef PetscScalar(MatH2OpusKernelFn)(PetscInt, PetscReal[], PetscReal[], void *);
2312: PETSC_EXTERN_TYPEDEF typedef MatH2OpusKernelFn *MatH2OpusKernel;

2314: PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernelFn *, void *, PetscReal, PetscInt, PetscInt, Mat *);
2315: PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2316: PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2317: PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
2318: PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat, PetscReal);
2319: PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat, PetscBool);
2320: PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat, PetscBool *);
2321: PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat, IS *);
2322: PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2323: PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2324: #endif

2326: #ifdef PETSC_HAVE_HTOOL
2327: /*S
2328:   MatHtoolKernelFn - Function type for the user-supplied kernel callback used by `MATHTOOL` (`MatCreateHtoolFromKernel()`, `MatHtoolSetKernel()`) to evaluate the dense matrix entries on demand

2330:   Synopsis:
2331: #include <petscmat.h>
2332:   PetscErrorCode MatHtoolKernelFn(PetscInt sdim, PetscInt M, PetscInt N, const PetscInt *J, const PetscInt *K, PetscScalar *ptr, void *ctx)

2334:   Calling Sequence:
2335: + sdim - the spatial dimension of the source/target geometries
2336: . M    - the number of target points
2337: . N    - the number of source points
2338: . J    - array of `M` target point indices into the user's target coordinate array
2339: . K    - array of `N` source point indices into the user's source coordinate array
2340: . ptr  - column-major output buffer of length `M*N` to fill with kernel values
2341: - ctx  - the optional user context passed at registration

2343:   Level: intermediate

2345: .seealso: `Mat`, `MATHTOOL`, `MatCreateHtoolFromKernel()`, `MatHtoolSetKernel()`
2346: S*/
2347: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode    MatHtoolKernelFn(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2348: PETSC_EXTERN_TYPEDEF typedef MatHtoolKernelFn *MatHtoolKernel;

2350: PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernelFn *, void *, Mat *);
2351: PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat, MatHtoolKernelFn *, void *);
2352: PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat, IS *);
2353: PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat, IS *);
2354: PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat, PetscBool);
2355: PETSC_EXTERN PetscErrorCode MatHtoolUseRecompression(Mat, PetscBool);

2357: /*E
2358:    MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`

2360:    Values:
2361: +  `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2362: .  `MAT_HTOOL_COMPRESSOR_FULL_ACA`                 - full adaptive cross approximation
2363: -  `MAT_HTOOL_COMPRESSOR_SVD`                      - singular value decomposition

2365:    Level: intermediate

2367: .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2368: E*/
2369: typedef enum {
2370:   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2371:   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2372:   MAT_HTOOL_COMPRESSOR_SVD
2373: } MatHtoolCompressorType;

2375: /*E
2376:    MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`

2378:    Values:
2379: +  `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default)    - axis computed via principle component analysis, split uniformly
2380: .  `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC`            - axis computed via principle component analysis, split barycentrically
2381: .  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR`   - axis along the largest extent of the bounding box, split uniformly
2382: -  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically

2384:    Level: intermediate

2386:    Note:
2387:    Higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types

2389: .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2390: E*/
2391: typedef enum {
2392:   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2393:   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2394:   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2395:   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2396: } MatHtoolClusteringType;
2397: #endif

2399: PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2400: PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2401: PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2402: PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);

2404: PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2405: PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2406: PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2407: PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2408: PETSC_EXTERN PetscErrorCode MatMumpsGetNullPivots(Mat, PetscInt *, PetscInt **);
2409: PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2410: PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2411: PETSC_EXTERN PetscErrorCode MatMumpsSetBlk(Mat, PetscInt, const PetscInt[], const PetscInt[]);

2413: PETSC_EXTERN PetscErrorCode MatMumpsSetOocTmpDir(Mat, const char *);
2414: PETSC_EXTERN PetscErrorCode MatMumpsGetOocTmpDir(Mat, const char **);

2416: #ifdef PETSC_HAVE_MKL_PARDISO
2417: PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2418: #endif

2420: #ifdef PETSC_HAVE_MKL_CPARDISO
2421: PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2422: #endif

2424: #ifdef PETSC_HAVE_SUPERLU
2425: PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2426: #endif

2428: #ifdef PETSC_HAVE_SUPERLU_DIST
2429: PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2430: #endif

2432: #ifdef PETSC_HAVE_STRUMPACK
2433: /*E
2434:     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `MATSOLVERSTRUMPACK`

2436:     Values:
2437: +  `MAT_STRUMPACK_NATURAL`   - use the current ordering
2438: .  `MAT_STRUMPACK_METIS`     - use MeTis to compute an ordering
2439: .  `MAT_STRUMPACK_PARMETIS`  - use ParMeTis to compute an ordering
2440: .  `MAT_STRUMPACK_SCOTCH`    - use Scotch to compute an ordering
2441: .  `MAT_STRUMPACK_PTSCOTCH`  - use parallel Scotch to compute an ordering
2442: .  `MAT_STRUMPACK_RCM`       - use an RCM ordering
2443: .  `MAT_STRUMPACK_GEOMETRIC` - use a geometric ordering (needs mesh info from user)
2444: .  `MAT_STRUMPACK_AMD`       - approximate minimum degree
2445: .  `MAT_STRUMPACK_MMD`       - multiple minimum degree
2446: .  `MAT_STRUMPACK_AND`       - approximate nested dissection
2447: .  `MAT_STRUMPACK_MLF`       - minimum local fill
2448: -  `MAT_STRUMPACK_SPECTRAL`  - spectral nested dissection

2450:     Level: intermediate

2452:     Developer Note:
2453:     Should be called `MatSTRUMPACKReorderingType`

2455: .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetReordering()`
2456: E*/
2457: typedef enum {
2458:   MAT_STRUMPACK_NATURAL,
2459:   MAT_STRUMPACK_METIS,
2460:   MAT_STRUMPACK_PARMETIS,
2461:   MAT_STRUMPACK_SCOTCH,
2462:   MAT_STRUMPACK_PTSCOTCH,
2463:   MAT_STRUMPACK_RCM,
2464:   MAT_STRUMPACK_GEOMETRIC,
2465:   MAT_STRUMPACK_AMD,
2466:   MAT_STRUMPACK_MMD,
2467:   MAT_STRUMPACK_AND,
2468:   MAT_STRUMPACK_MLF,
2469:   MAT_STRUMPACK_SPECTRAL
2470: } MatSTRUMPACKReordering;

2472: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2473: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetReordering(Mat, MatSTRUMPACKReordering *);
2474: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricNxyz(Mat, PetscInt, PetscInt, PetscInt);
2475: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricComponents(Mat, PetscInt);
2476: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricWidth(Mat, PetscInt);
2477: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2478: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetColPerm(Mat, PetscBool *);
2479: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGPU(Mat, PetscBool);
2480: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetGPU(Mat, PetscBool *);

2482: /*E
2483:     MatSTRUMPACKCompressionType - Compression used in the approximate sparse factorization solver `MATSOLVERSTRUMPACK`

2485:     Values:
2486: +  `MAT_STRUMPACK_COMPRESSION_TYPE_NONE`          - no compression, direct solver
2487: .  `MAT_STRUMPACK_COMPRESSION_TYPE_HSS`           - hierarchically semi-separable
2488: .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR`           - block low rank
2489: .  `MAT_STRUMPACK_COMPRESSION_TYPE_HODLR`         - hierarchically off-diagonal low rank (requires ButterfyPACK support, configure with --download-butterflypack)
2490: .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR`     - hybrid of BLR and HODLR (requires ButterfyPACK support, configure with --download-butterflypack)
2491: .  `MAT_STRUMPACK_COMPRESSION_TYPE_ZFP_BLR_HODLR` - hybrid of lossy (ZFP), BLR and HODLR (requires ButterfyPACK and ZFP support, configure with --download-butterflypack --download-zfp)
2492: .  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS`      - lossless compression (requires ZFP support, configure with --download-zfp)
2493: -  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY`         - lossy compression (requires ZFP support, configure with --download-zfp)

2495:     Level: intermediate

2497: .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetCompression()`
2498: E*/
2499: typedef enum {
2500:   MAT_STRUMPACK_COMPRESSION_TYPE_NONE,
2501:   MAT_STRUMPACK_COMPRESSION_TYPE_HSS,
2502:   MAT_STRUMPACK_COMPRESSION_TYPE_BLR,
2503:   MAT_STRUMPACK_COMPRESSION_TYPE_HODLR,
2504:   MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR,
2505:   MAT_STRUMPACK_COMPRESSION_TYPE_ZFP_BLR_HODLR,
2506:   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS,
2507:   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY
2508: } MatSTRUMPACKCompressionType;

2510: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompression(Mat, MatSTRUMPACKCompressionType);
2511: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompression(Mat, MatSTRUMPACKCompressionType *);
2512: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompRelTol(Mat, PetscReal);
2513: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompRelTol(Mat, PetscReal *);
2514: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompAbsTol(Mat, PetscReal);
2515: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompAbsTol(Mat, PetscReal *);
2516: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompMinSepSize(Mat, PetscInt);
2517: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompMinSepSize(Mat, PetscInt *);
2518: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLeafSize(Mat, PetscInt);
2519: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLeafSize(Mat, PetscInt *);
2520: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLossyPrecision(Mat, PetscInt);
2521: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLossyPrecision(Mat, PetscInt *);
2522: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompButterflyLevels(Mat, PetscInt);
2523: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompButterflyLevels(Mat, PetscInt *);
2524: #endif

2526: PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2527: PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2528: PETSC_DEPRECATED_FUNCTION(3, 13, 0, "MatBindToCPU()", ) static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2529: {
2530:   return MatBindToCPU(A, flg);
2531: }
2532: PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2533: PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);

2535: #ifdef PETSC_HAVE_CUDA
2536: /*E
2537:     MatCUSPARSEStorageFormat - indicates the storage format for `MATAIJCUSPARSE` (GPU)
2538:     matrices.

2540:     Values:
2541: +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2542: .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2543: -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).

2545:     Level: intermediate

2547: .seealso: [](ch_matrices), `MATAIJCUSPARSE`, `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2548: E*/

2550: typedef enum {
2551:   MAT_CUSPARSE_CSR,
2552:   MAT_CUSPARSE_ELL,
2553:   MAT_CUSPARSE_HYB
2554: } MatCUSPARSEStorageFormat;

2556: /* these will be strings associated with enumerated type defined above */
2557: PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];

2559: /*E
2560:     MatCUSPARSEFormatOperation - indicates the operation of `MATAIJCUSPARSE` (GPU)
2561:     matrices whose operation should use a particular storage format.

2563:     Values:
2564: +   `MAT_CUSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2565: .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2566: .   `MAT_CUSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2567: -   `MAT_CUSPARSE_ALL`          - sets the storage format for all `MATAIJCUSPARSE` (GPU) matrices

2569:     Level: intermediate

2571: .seealso: [](ch_matrices), `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2572: E*/
2573: typedef enum {
2574:   MAT_CUSPARSE_MULT_DIAG,
2575:   MAT_CUSPARSE_MULT_OFFDIAG,
2576:   MAT_CUSPARSE_MULT,
2577:   MAT_CUSPARSE_ALL
2578: } MatCUSPARSEFormatOperation;

2580: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2581: PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2582: PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2583: PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2584: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2585: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2586: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2587: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2588: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2589: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2590: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2591: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);

2593: PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2594: PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2595: PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2596: PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2597: PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2598: PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2599: PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2600: PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2601: PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2602: PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2603: PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2604: PETSC_EXTERN PetscErrorCode MatDenseCUDASetPreallocation(Mat, PetscScalar *);

2606: PETSC_EXTERN PetscErrorCode MatCreateSeqSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2607: PETSC_EXTERN PetscErrorCode MatCreateSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2608: #endif

2610: #ifdef PETSC_HAVE_HIP
2611: /*E
2612:     MatHIPSPARSEStorageFormat - indicates the storage format for `MATAIJHIPSPARSE` (GPU)
2613:     matrices.

2615:     Values:
2616: +   `MAT_HIPSPARSE_CSR` - Compressed Sparse Row
2617: .   `MAT_HIPSPARSE_ELL` - Ellpack
2618: -   `MAT_HIPSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format

2620:     Level: intermediate

2622: .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
2623: E*/

2625: typedef enum {
2626:   MAT_HIPSPARSE_CSR,
2627:   MAT_HIPSPARSE_ELL,
2628:   MAT_HIPSPARSE_HYB
2629: } MatHIPSPARSEStorageFormat;

2631: /* these will be strings associated with enumerated type defined above */
2632: PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];

2634: /*E
2635:     MatHIPSPARSEFormatOperation - indicates the operation of `MATAIJHIPSPARSE` (GPU)
2636:     matrices whose operation should use a particular storage format.

2638:     Values:
2639: +   `MAT_HIPSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2640: .   `MAT_HIPSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2641: .   `MAT_HIPSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2642: -   `MAT_HIPSPARSE_ALL`          - sets the storage format for all HIPSPARSE (GPU) matrices

2644:     Level: intermediate

2646: .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
2647: E*/
2648: typedef enum {
2649:   MAT_HIPSPARSE_MULT_DIAG,
2650:   MAT_HIPSPARSE_MULT_OFFDIAG,
2651:   MAT_HIPSPARSE_MULT,
2652:   MAT_HIPSPARSE_ALL
2653: } MatHIPSPARSEFormatOperation;

2655: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2656: PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2657: PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
2658: PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
2659: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2660: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2661: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
2662: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
2663: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
2664: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
2665: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
2666: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);

2668: PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2669: PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2670: PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
2671: PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
2672: PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
2673: PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
2674: PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
2675: PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
2676: PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
2677: PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
2678: PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);
2679: PETSC_EXTERN PetscErrorCode MatDenseHIPSetPreallocation(Mat, PetscScalar *);
2680: PETSC_EXTERN PetscErrorCode MatCreateSeqSELLHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2681: PETSC_EXTERN PetscErrorCode MatCreateSELLHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2682: #endif

2684: #if defined(PETSC_HAVE_VIENNACL)
2685: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2686: PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2687: #endif

2689: #if PetscDefined(HAVE_KOKKOS)
2690: PETSC_EXTERN PetscErrorCode MatCreateAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2691: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2692: #endif

2694: #if defined(PETSC_HAVE_FFTW)
2695: PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2696: PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2697: PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2698: #endif

2700: #if defined(PETSC_HAVE_SCALAPACK) && (defined(PETSC_USE_REAL_SINGLE) || defined(PETSC_USE_REAL_DOUBLE))
2701: PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2702: PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2703: PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2704: #endif

2706: PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2707: PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2708: PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2709: PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2710: PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2711: PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2712: PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2713: PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2714: PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);

2716: PETSC_EXTERN PetscErrorCode MatFilter(Mat, PetscReal, PetscBool, PetscBool);
2717: PETSC_DEPRECATED_FUNCTION(3, 20, 0, "MatFilter()", ) static inline PetscErrorCode MatChop(Mat A, PetscReal tol)
2718: {
2719:   return MatFilter(A, tol, PETSC_FALSE, PETSC_FALSE);
2720: }
2721: PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);

2723: PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);

2725: PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);

2727: PETSC_EXTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2728: PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);

2730: PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);

2732: PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, PetscInt, PetscInt[], Mat *);
2733: PETSC_EXTERN PetscErrorCode MatEliminateZeros(Mat, PetscBool);

2735: PETSC_EXTERN PetscErrorCode MatCreateDenseFromVecType(MPI_Comm, VecType, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar *, Mat *);
2736: PETSC_EXTERN PetscErrorCode MatCreateDenseWithMemType(MPI_Comm, PetscMemType, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar *, Mat *);

2738: PETSC_EXTERN PetscErrorCode MatSetHPL(Mat, int);
2739: #define PETSCBMHPL "hpl"

2741: PETSC_EXTERN PetscErrorCode MatDFischer(Mat, Vec, Vec, Vec, Vec, Vec, Vec, Vec, Vec);