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: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatSolverFn(Mat, MatFactorType, Mat *);
222: PETSC_EXTERN_TYPEDEF typedef MatSolverFn   *MatSolverFunction;

224: PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType, MatType, MatFactorType, MatSolverFn *);
225: PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType, MatType, MatFactorType, PetscBool *, PetscBool *, MatSolverFn **);
226: typedef MatSolverType       MatSolverPackage PETSC_DEPRECATED_TYPEDEF(3, 9, 0, "MatSolverType", );
227: PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSolverTypeRegister()", ) static inline PetscErrorCode MatSolverPackageRegister(MatSolverType stype, MatType mtype, MatFactorType ftype, MatSolverFn *f)
228: {
229:   return MatSolverTypeRegister(stype, mtype, ftype, f);
230: }
231: PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSolverTypeGet()", ) static inline PetscErrorCode MatSolverPackageGet(MatSolverType stype, MatType mtype, MatFactorType ftype, PetscBool *foundmtype, PetscBool *foundstype, MatSolverFn **f)
232: {
233:   return MatSolverTypeGet(stype, mtype, ftype, foundmtype, foundstype, f);
234: }

236: /*E
237:     MatProductType - indicates what type of matrix product to compute

239:     Values:
240: +  `MATPRODUCT_AB`   - product of two matrices
241: .  `MATPRODUCT_AtB`  - product of the transpose of a given matrix with a matrix
242: .  `MATPRODUCT_ABt`  - product of a matrix with the transpose of another given matrix
243: .  `MATPRODUCT_PtAP` - the triple product of the transpose of a matrix with another matrix and itself
244: .  `MATPRODUCT_RARt` - the triple product of a matrix, another matrix and the transpose of the first matrix
245: -  `MATPRODUCT_ABC`  - the product of three matrices

247:     Level: beginner

249: .seealso: [](sec_matmatproduct), [](ch_matrices), `MatProductSetType()`
250: E*/
251: typedef enum {
252:   MATPRODUCT_UNSPECIFIED,
253:   MATPRODUCT_AB,
254:   MATPRODUCT_AtB,
255:   MATPRODUCT_ABt,
256:   MATPRODUCT_PtAP,
257:   MATPRODUCT_RARt,
258:   MATPRODUCT_ABC
259: } MatProductType;
260: PETSC_EXTERN const char *const MatProductTypes[];

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

265:    Level: beginner

267: .seealso: [](sec_matmatproduct), [](ch_matrices), `MatSetType()`, `Mat`, `MatProductSetAlgorithm()`, `MatProductType`
268: J*/
269: typedef const char *MatProductAlgorithm;
270: #define MATPRODUCTALGORITHMDEFAULT         "default"
271: #define MATPRODUCTALGORITHMSORTED          "sorted"
272: #define MATPRODUCTALGORITHMSCALABLE        "scalable"
273: #define MATPRODUCTALGORITHMSCALABLEFAST    "scalable_fast"
274: #define MATPRODUCTALGORITHMHEAP            "heap"
275: #define MATPRODUCTALGORITHMBHEAP           "btheap"
276: #define MATPRODUCTALGORITHMLLCONDENSED     "llcondensed"
277: #define MATPRODUCTALGORITHMROWMERGE        "rowmerge"
278: #define MATPRODUCTALGORITHMOUTERPRODUCT    "outerproduct"
279: #define MATPRODUCTALGORITHMATB             "at*b"
280: #define MATPRODUCTALGORITHMRAP             "rap"
281: #define MATPRODUCTALGORITHMNONSCALABLE     "nonscalable"
282: #define MATPRODUCTALGORITHMSEQMPI          "seqmpi"
283: #define MATPRODUCTALGORITHMBACKEND         "backend"
284: #define MATPRODUCTALGORITHMOVERLAPPING     "overlapping"
285: #define MATPRODUCTALGORITHMMERGED          "merged"
286: #define MATPRODUCTALGORITHMALLATONCE       "allatonce"
287: #define MATPRODUCTALGORITHMALLATONCEMERGED "allatonce_merged"
288: #define MATPRODUCTALGORITHMALLGATHERV      "allgatherv"
289: #define MATPRODUCTALGORITHMCYCLIC          "cyclic"
290: #define MATPRODUCTALGORITHMHYPRE           "hypre"

292: PETSC_EXTERN PetscErrorCode MatProductCreate(Mat, Mat, Mat, Mat *);
293: PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat, Mat, Mat, Mat);
294: PETSC_EXTERN PetscErrorCode MatProductSetType(Mat, MatProductType);
295: PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat, MatProductAlgorithm);
296: PETSC_EXTERN PetscErrorCode MatProductGetAlgorithm(Mat, MatProductAlgorithm *);
297: PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat, PetscReal);
298: PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
299: PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
300: PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
301: PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat, Mat, Mat, Mat);
302: PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
303: PETSC_EXTERN PetscErrorCode MatProductView(Mat, PetscViewer);
304: PETSC_EXTERN PetscErrorCode MatProductGetType(Mat, MatProductType *);
305: PETSC_EXTERN PetscErrorCode MatProductGetMats(Mat, Mat *, Mat *, Mat *);

307: /* Logging support */
308: #define MAT_FILE_CLASSID 1211216 /* used to indicate matrices in binary files */
309: PETSC_EXTERN PetscClassId MAT_CLASSID;
310: PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
311: PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
312: PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
313: PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
314: PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
315: PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
316: PETSC_EXTERN PetscClassId MATMFFD_CLASSID;

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

322:    Values:
323: +  `MAT_INITIAL_MATRIX` - create a new matrix
324: .  `MAT_REUSE_MATRIX`   - reuse the matrix created with a previous call that used `MAT_INITIAL_MATRIX`
325: .  `MAT_INPLACE_MATRIX` - replace the first input matrix with the new matrix (not applicable to all functions)
326: -  `MAT_IGNORE_MATRIX`  - do not create a new matrix or reuse a given matrix, just ignore that matrix argument (not applicable to all functions)

328:     Level: beginner

330: .seealso: [](ch_matrices), `Mat`, `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatDestroyMatrices()`, `MatConvert()`
331: E*/
332: typedef enum {
333:   MAT_INITIAL_MATRIX,
334:   MAT_REUSE_MATRIX,
335:   MAT_IGNORE_MATRIX,
336:   MAT_INPLACE_MATRIX
337: } MatReuse;

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

343:     Values:
344: +  `MAT_DO_NOT_GET_VALUES` - do not copy the matrix values
345: -  `MAT_GET_VALUES`        - copy the matrix values

347:     Level: developer

349:     Developer Note:
350:     Why is not just a boolean used for this information?

352: .seealso: [](ch_matrices), `Mat`, `MatDuplicateOption`, `PetscCopyMode`, `MatGetSeqNonzeroStructure()`
353: E*/
354: typedef enum {
355:   MAT_DO_NOT_GET_VALUES,
356:   MAT_GET_VALUES
357: } MatCreateSubMatrixOption;

359: PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
360: PETSC_EXTERN PetscErrorCode MatFinalizePackage(void);

362: PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm, Mat *);
363: PETSC_EXTERN PetscErrorCode MatCreateFromOptions(MPI_Comm, const char *, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
364: PETSC_EXTERN PetscErrorCode MatSetSizes(Mat, PetscInt, PetscInt, PetscInt, PetscInt);
365: PETSC_EXTERN PetscErrorCode MatSetType(Mat, MatType);
366: PETSC_EXTERN PetscErrorCode MatGetVecType(Mat, VecType *);
367: PETSC_EXTERN PetscErrorCode MatSetVecType(Mat, VecType);
368: PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
369: PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat, PetscObject, const char[]);
370: PETSC_EXTERN PetscErrorCode MatRegister(const char[], PetscErrorCode (*)(Mat));
371: PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[], const char[], const char[]);
372: PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat, const char[]);
373: PETSC_EXTERN PetscErrorCode MatSetOptionsPrefixFactor(Mat, const char[]);
374: PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefixFactor(Mat, const char[]);
375: PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat, const char[]);
376: PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat, const char *[]);
377: PETSC_EXTERN PetscErrorCode MatGetState(Mat, PetscObjectState *);
378: PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat, PetscBool);

380: PETSC_EXTERN PetscFunctionList MatList;
381: PETSC_EXTERN PetscFunctionList MatColoringList;
382: PETSC_EXTERN PetscFunctionList MatPartitioningList;

384: /*E
385:    MatStructure - Indicates if two matrices have the same nonzero structure

387:    Values:
388: +  `SAME_NONZERO_PATTERN`      - the two matrices have identical nonzero patterns
389: .  `DIFFERENT_NONZERO_PATTERN` - the two matrices may have different nonzero patterns
390: .  `SUBSET_NONZERO_PATTERN`    - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
391: -  `UNKNOWN_NONZERO_PATTERN`   - there is no known relationship between the nonzero patterns. In this case the implementations
392:                                  may try to detect a relationship to optimize the operation

394:    Level: beginner

396:    Note:
397:    Certain matrix operations (such as `MatAXPY()`) can run much faster if the sparsity pattern of the matrices are the same. But actually determining if
398:    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
399:    to certain PETSc routines.

401: .seealso: [](ch_matrices), `Mat`, `MatCopy()`, `MatAXPY()`, `MatAYPX()`
402: E*/
403: typedef enum {
404:   DIFFERENT_NONZERO_PATTERN,
405:   SUBSET_NONZERO_PATTERN,
406:   SAME_NONZERO_PATTERN,
407:   UNKNOWN_NONZERO_PATTERN
408: } MatStructure;
409: PETSC_EXTERN const char *const MatStructures[];

411: #if defined(PETSC_HAVE_MKL_SPARSE)
412: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
413: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
414: PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
415: PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
416: #endif

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

421: PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
422: PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
423: PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat, PetscInt, const PetscInt[]);
424: PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
425: PETSC_EXTERN PetscErrorCode MatSeqSELLGetFillRatio(Mat, PetscReal *);
426: PETSC_EXTERN PetscErrorCode MatSeqSELLGetMaxSliceWidth(Mat, PetscInt *);
427: PETSC_EXTERN PetscErrorCode MatSeqSELLGetAvgSliceWidth(Mat, PetscReal *);
428: PETSC_EXTERN PetscErrorCode MatSeqSELLSetSliceHeight(Mat, PetscInt);
429: PETSC_EXTERN PetscErrorCode MatSeqSELLGetVarSliceSize(Mat, PetscReal *);

431: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
432: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
433: PETSC_EXTERN PetscErrorCode MatMPISELLGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
434: PETSC_EXTERN PetscErrorCode MatMPISELLGetSeqSELL(Mat, Mat *, Mat *, const PetscInt *[]);

436: PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
437: PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
438: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
439: PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
440: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
441: PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
442: PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArray(Mat, const PetscScalar[]);
443: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], PetscInt[], PetscInt[], PetscScalar[], Mat *);
444: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm, PetscInt, PetscInt, Mat, Mat, PetscInt *, Mat *);

446: PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
447: PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
448: PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);

450: PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat, PetscCount, PetscInt[], PetscInt[]);
451: PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat, PetscCount, PetscInt[], PetscInt[]);
452: PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat, const PetscScalar[], InsertMode);

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

457: PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
458: PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
459: PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
460: PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
461: PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], const PetscInt[]);

463: PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscCtx, Mat *);
464: PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm, PetscInt, PetscInt, Mat *);
465: PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat, Mat *);
466: PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat, Mat *);
467: PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat, Mat, Vec, Mat, Mat *);
468: PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat, Mat *, Mat *, Vec *, Mat *);
469: PETSC_EXTERN PetscErrorCode MatLRCSetMats(Mat, Mat, Mat, Vec, Mat);
470: PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, ISLocalToGlobalMapping, ISLocalToGlobalMapping, Mat *);
471: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
472: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);

474: PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm, VecScatter, Mat *);
475: PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat, VecScatter);
476: PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat, VecScatter *);
477: PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt *, Mat *);
478: PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat, Mat);
479: PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
480: typedef enum {
481:   MAT_COMPOSITE_MERGE_RIGHT,
482:   MAT_COMPOSITE_MERGE_LEFT
483: } MatCompositeMergeType;
484: PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat, MatCompositeMergeType);
485: PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm, PetscInt, const Mat *, Mat *);
486: /*E
487:     MatCompositeType - indicates what type of `MATCOMPOSITE` is used

489:     Values:
490: +  `MAT_COMPOSITE_ADDITIVE`       - sum of matrices (default)
491: -  `MAT_COMPOSITE_MULTIPLICATIVE` - product of matrices

493:     Level: beginner

495: .seealso: [](ch_matrices), `MATCOMPOSITE`, `MatCompositeSetType()`, `MatCompositeGetType()`
496: E*/
497: typedef enum {
498:   MAT_COMPOSITE_ADDITIVE,
499:   MAT_COMPOSITE_MULTIPLICATIVE
500: } MatCompositeType;
501: PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat, MatCompositeType);
502: PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat, MatCompositeType *);
503: PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat, MatStructure);
504: PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat, MatStructure *);
505: PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat, PetscInt *);
506: PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat, PetscInt, Mat *);
507: PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat, const PetscScalar *);

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

512: PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat, Mat *);
513: PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat, Mat *);
514: PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat, Mat *);
515: PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat, Mat *);
516: PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat, Mat *);
517: PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat, Mat *);
518: PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat, IS, IS, Mat *);
519: PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat, Mat, IS, IS);
520: PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat, IS, IS, Mat *);
521: PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar, Mat *);
522: PETSC_EXTERN PetscErrorCode MatCreateDiagonal(Vec, Mat *);
523: PETSC_EXTERN PetscErrorCode MatDiagonalSetDiagonal(Mat, Vec);
524: PETSC_EXTERN PetscErrorCode MatDiagonalGetDiagonal(Mat, Vec *);
525: PETSC_EXTERN PetscErrorCode MatDiagonalRestoreDiagonal(Mat, Vec *);
526: PETSC_EXTERN PetscErrorCode MatDiagonalGetInverseDiagonal(Mat, Vec *);
527: PETSC_EXTERN PetscErrorCode MatDiagonalRestoreInverseDiagonal(Mat, Vec *);
528: PETSC_EXTERN PetscErrorCode MatConstantDiagonalGetConstant(Mat, PetscScalar *);
529: PETSC_EXTERN PetscErrorCode MatGetCurrentMemType(Mat, PetscMemType *);

531: #if defined(PETSC_HAVE_HYPRE)
532: PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
533: #endif

535: PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat, const char[]);
536: PETSC_EXTERN PetscErrorCode MatPythonGetType(Mat, const char *[]);
537: PETSC_EXTERN PetscErrorCode MatPythonCreate(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const char[], Mat *);

539: PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
540: PETSC_EXTERN PetscErrorCode MatResetHash(Mat);
541: PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
542: PETSC_EXTERN PetscErrorCode MatDestroy(Mat *);
543: PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat, PetscObjectState *);

545: PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
546: PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
547: PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
548: PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat, Mat *);
549: PETSC_EXTERN PetscErrorCode MatGetTrace(Mat, PetscScalar *);
550: PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat, const PetscScalar **);
551: PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat, PetscInt, const PetscInt *, PetscScalar *);
552: PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat, Mat);
553: PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat, MatReuse, Mat *);
554: PETSC_EXTERN PetscErrorCode MatComputeVariableBlockEnvelope(Mat);

556: PETSC_EXTERN PetscErrorCode MatSetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
557: PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat, IS, IS, const PetscScalar[], InsertMode);
558: PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
559: PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat, PetscInt, const PetscScalar[]);
560: PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat, PetscInt, const PetscScalar[]);
561: PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt[], const PetscScalar[]);
562: PETSC_EXTERN PetscErrorCode MatSetRandom(Mat, PetscRandom);

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

568:    Level: beginner

570:    Notes:
571:    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).
572:    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.

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

576:    For staggered grids, see `DMStagStencil`

578: .seealso: [](ch_matrices), `Mat`, `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`,
579:           `DMStagStencil`
580: S*/
581: typedef struct {
582:   PetscInt k, j, i, c;
583: } MatStencil;

585: PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
586: PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
587: PETSC_EXTERN PetscErrorCode MatSetStencil(Mat, PetscInt, const PetscInt[], const PetscInt[], PetscInt);

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

592:     Values:
593: +   `MAT_FLUSH_ASSEMBLY` - you will continue to put values into the matrix
594: -   `MAT_FINAL_ASSEMBLY` - you wish to use the matrix with the values currently inserted

596:     Level: beginner

598: .seealso: [](ch_matrices), `Mat`, `MatSetValues`, `MatAssemblyBegin()`, `MatAssemblyEnd()`
599: E*/
600: typedef enum {
601:   MAT_FLUSH_ASSEMBLY = 1,
602:   MAT_FINAL_ASSEMBLY = 0
603: } MatAssemblyType;

605: PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat, MatAssemblyType);
606: PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat, MatAssemblyType);
607: PETSC_EXTERN PetscErrorCode MatAssembled(Mat, PetscBool *);

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

612:    Level: beginner

614:    Note:
615:    See `MatSetOption()` for the use of the options

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

620: .seealso: [](ch_matrices), `Mat`, `MatSetOption()`
621: E*/
622: typedef enum {
623:   MAT_OPTION_MIN                  = -3,
624:   MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
625:   MAT_ROW_ORIENTED                = -1,
626:   MAT_SYMMETRIC                   = 1,
627:   MAT_STRUCTURALLY_SYMMETRIC      = 2,
628:   MAT_FORCE_DIAGONAL_ENTRIES      = 3,
629:   MAT_IGNORE_OFF_PROC_ENTRIES     = 4,
630:   MAT_USE_HASH_TABLE              = 5,
631:   MAT_KEEP_NONZERO_PATTERN        = 6,
632:   MAT_IGNORE_ZERO_ENTRIES         = 7,
633:   MAT_USE_INODES                  = 8,
634:   MAT_HERMITIAN                   = 9,
635:   MAT_SYMMETRY_ETERNAL            = 10,
636:   MAT_NEW_NONZERO_LOCATION_ERR    = 11,
637:   MAT_IGNORE_LOWER_TRIANGULAR     = 12,
638:   MAT_ERROR_LOWER_TRIANGULAR      = 13,
639:   MAT_GETROW_UPPERTRIANGULAR      = 14,
640:   MAT_SPD                         = 15,
641:   MAT_NO_OFF_PROC_ZERO_ROWS       = 16,
642:   MAT_NO_OFF_PROC_ENTRIES         = 17,
643:   MAT_NEW_NONZERO_LOCATIONS       = 18,
644:   MAT_NEW_NONZERO_ALLOCATION_ERR  = 19,
645:   MAT_SUBSET_OFF_PROC_ENTRIES     = 20,
646:   MAT_SUBMAT_SINGLEIS             = 21,
647:   MAT_STRUCTURE_ONLY              = 22,
648:   MAT_SORTED_FULL                 = 23,
649:   MAT_FORM_EXPLICIT_TRANSPOSE     = 24,
650:   MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
651:   MAT_SPD_ETERNAL                 = 26,
652:   MAT_OPTION_MAX                  = 27
653: } MatOption;

655: PETSC_EXTERN const char *const *MatOptions;
656: PETSC_EXTERN PetscErrorCode     MatSetOption(Mat, MatOption, PetscBool);
657: PETSC_EXTERN PetscErrorCode     MatGetOption(Mat, MatOption, PetscBool *);
658: PETSC_EXTERN PetscErrorCode     MatPropagateSymmetryOptions(Mat, Mat);
659: PETSC_EXTERN PetscErrorCode     MatGetType(Mat, MatType *);

661: PETSC_EXTERN PetscErrorCode    MatGetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
662: PETSC_EXTERN PetscErrorCode    MatGetRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
663: PETSC_EXTERN PetscErrorCode    MatRestoreRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
664: PETSC_EXTERN PetscErrorCode    MatGetRowUpperTriangular(Mat);
665: PETSC_EXTERN PetscErrorCode    MatRestoreRowUpperTriangular(Mat);
666: PETSC_EXTERN PetscErrorCode    MatGetColumnVector(Mat, Vec, PetscInt);
667: PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArray(Mat, PetscScalar *[]);
668: PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayRead(Mat, const PetscScalar *[]);
669: PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayWrite(Mat, PetscScalar *[]);
670: PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArray(Mat, PetscScalar *[]);
671: PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayRead(Mat, const PetscScalar *[]);
672: PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayWrite(Mat, PetscScalar *[]);
673: PETSC_EXTERN PetscErrorCode    MatSeqAIJGetMaxRowNonzeros(Mat, PetscInt *);
674: PETSC_EXTERN PetscErrorCode    MatSeqAIJSetValuesLocalFast(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
675: PETSC_EXTERN PetscErrorCode    MatSeqAIJSetType(Mat, MatType);
676: PETSC_EXTERN PetscErrorCode    MatSeqAIJKron(Mat, Mat, MatReuse, Mat *);
677: PETSC_EXTERN PetscErrorCode    MatSeqAIJRegister(const char[], PetscErrorCode (*)(Mat, MatType, MatReuse, Mat *));
678: PETSC_EXTERN PetscFunctionList MatSeqAIJList;
679: PETSC_EXTERN PetscErrorCode    MatSeqBAIJGetArray(Mat, PetscScalar *[]);
680: PETSC_EXTERN PetscErrorCode    MatSeqBAIJRestoreArray(Mat, PetscScalar *[]);
681: PETSC_EXTERN PetscErrorCode    MatSeqSBAIJGetArray(Mat, PetscScalar *[]);
682: PETSC_EXTERN PetscErrorCode    MatSeqSBAIJRestoreArray(Mat, PetscScalar *[]);
683: PETSC_EXTERN PetscErrorCode    MatDenseGetArray(Mat, PetscScalar *[]);
684: PETSC_EXTERN PetscErrorCode    MatDenseRestoreArray(Mat, PetscScalar *[]);
685: PETSC_EXTERN PetscErrorCode    MatDensePlaceArray(Mat, const PetscScalar[]);
686: PETSC_EXTERN PetscErrorCode    MatDenseReplaceArray(Mat, const PetscScalar[]);
687: PETSC_EXTERN PetscErrorCode    MatDenseReplaceArrayWithMemType(Mat, PetscMemType, const PetscScalar[]);
688: PETSC_EXTERN PetscErrorCode    MatDenseResetArray(Mat);
689: PETSC_EXTERN PetscErrorCode    MatDenseGetArrayRead(Mat, const PetscScalar *[]);
690: PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayRead(Mat, const PetscScalar *[]);
691: PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWrite(Mat, PetscScalar *[]);
692: PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWrite(Mat, PetscScalar *[]);
693: PETSC_EXTERN PetscErrorCode    MatDenseGetArrayAndMemType(Mat, PetscScalar *[], PetscMemType *);
694: PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayAndMemType(Mat, PetscScalar *[]);
695: PETSC_EXTERN PetscErrorCode    MatDenseGetArrayReadAndMemType(Mat, const PetscScalar *[], PetscMemType *);
696: PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayReadAndMemType(Mat, const PetscScalar *[]);
697: PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWriteAndMemType(Mat, PetscScalar *[], PetscMemType *);
698: PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWriteAndMemType(Mat, PetscScalar *[]);
699: PETSC_EXTERN PetscErrorCode    MatGetBlockSize(Mat, PetscInt *);
700: PETSC_EXTERN PetscErrorCode    MatSetBlockSize(Mat, PetscInt);
701: PETSC_EXTERN PetscErrorCode    MatGetBlockSizes(Mat, PetscInt *, PetscInt *);
702: PETSC_EXTERN PetscErrorCode    MatSetBlockSizes(Mat, PetscInt, PetscInt);
703: PETSC_EXTERN PetscErrorCode    MatSetBlockSizesFromMats(Mat, Mat, Mat);
704: PETSC_EXTERN PetscErrorCode    MatSetVariableBlockSizes(Mat, PetscInt, const PetscInt[]);
705: PETSC_EXTERN PetscErrorCode    MatGetVariableBlockSizes(Mat, PetscInt *, const PetscInt *[]);
706: PETSC_EXTERN PetscErrorCode    MatSelectVariableBlockSizes(Mat, Mat, IS);

708: PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat, PetscInt, PetscScalar *[]);
709: PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat, PetscScalar *[]);
710: PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat, PetscInt, Vec *);
711: PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat, PetscInt, Vec *);
712: PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat, PetscInt, Vec *);
713: PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat, PetscInt, Vec *);
714: PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat, PetscInt, Vec *);
715: PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat, PetscInt, Vec *);
716: PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
717: PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat, Mat *);

719: PETSC_EXTERN PetscErrorCode MatMult(Mat, Vec, Vec);
720: PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat, Vec, Vec);
721: PETSC_EXTERN PetscErrorCode MatMultAdd(Mat, Vec, Vec, Vec);
722: PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat, Vec, Vec);
723: PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat, Vec, Vec);
724: PETSC_EXTERN PetscErrorCode MatADot(Mat, Vec, Vec, PetscScalar *);
725: PETSC_EXTERN PetscErrorCode MatANorm(Mat, Vec, PetscReal *);
726: PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat, Mat, PetscReal, PetscBool *);
727: PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat, Mat, PetscReal, PetscBool *);
728: PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat, Vec, Vec, Vec);
729: PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat, Vec, Vec, Vec);
730: PETSC_EXTERN PetscErrorCode MatMatSolve(Mat, Mat, Mat);
731: PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat, Mat, Mat);
732: PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat, Mat, Mat);
733: PETSC_EXTERN PetscErrorCode MatResidual(Mat, Vec, Vec, Vec);

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

739:   Values:
740: + `MAT_DO_NOT_COPY_VALUES`    - Create a matrix using the same nonzero pattern as the original matrix,
741:                                 with zeros for the numerical values
742: . `MAT_COPY_VALUES`           - Create a matrix with the same nonzero pattern as the original matrix
743:                                 and with the same numerical values.
744: - `MAT_SHARE_NONZERO_PATTERN` - Create a matrix that shares the nonzero structure with the previous matrix
745:                                 and does not copy it, using zeros for the numerical values. The parent and
746:                                 child matrices will share their index (i and j) arrays, and you cannot
747:                                 insert new nonzero entries into either matrix

749:   Level: beginner

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

755: .seealso: [](ch_matrices), `Mat`, `MatDuplicate()`
756: E*/
757: typedef enum {
758:   MAT_DO_NOT_COPY_VALUES,
759:   MAT_COPY_VALUES,
760:   MAT_SHARE_NONZERO_PATTERN
761: } MatDuplicateOption;

763: PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
764: PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);

766: PETSC_EXTERN PetscErrorCode MatCopy(Mat, Mat, MatStructure);
767: PETSC_EXTERN PetscErrorCode MatView(Mat, PetscViewer);
768: PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat, PetscReal, PetscBool *);
769: PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat, PetscBool *);
770: PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat, PetscReal, PetscBool *);
771: PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat, PetscBool *, PetscBool *);
772: PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat, PetscBool *, PetscBool *);
773: PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat, PetscBool *, PetscBool *);
774: PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat, PetscBool *, PetscBool *);
775: PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);

777: PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
778: PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
779: PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
780: PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);

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

785:    Level: intermediate

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

790: .seealso: [](ch_matrices), `Mat`, `MatGetInfo()`, `MatInfoType`
791: S*/
792: typedef struct {
793:   PetscLogDouble block_size;                          /* block size */
794:   PetscLogDouble nz_allocated, nz_used, nz_unneeded;  /* number of nonzeros */
795:   PetscLogDouble memory;                              /* memory allocated */
796:   PetscLogDouble assemblies;                          /* number of matrix assemblies called */
797:   PetscLogDouble mallocs;                             /* number of mallocs during MatSetValues() */
798:   PetscLogDouble fill_ratio_given, fill_ratio_needed; /* fill ratio for LU/ILU */
799:   PetscLogDouble factor_mallocs;                      /* number of mallocs during factorization */
800: } MatInfo;

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

806:     Values:
807: +   `MAT_LOCAL`      - values for each MPI process part of the matrix
808: .   `MAT_GLOBAL_MAX` - maximum of each value over all MPI processes
809: -   `MAT_GLOBAL_SUM` - sum of each value over all MPI processes

811:     Level: beginner

813: .seealso: [](ch_matrices), `MatGetInfo()`, `MatInfo`
814: E*/
815: typedef enum {
816:   MAT_LOCAL      = 1,
817:   MAT_GLOBAL_MAX = 2,
818:   MAT_GLOBAL_SUM = 3
819: } MatInfoType;
820: PETSC_EXTERN PetscErrorCode MatGetInfo(Mat, MatInfoType, MatInfo *);
821: PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat, Vec);
822: PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat, Vec, PetscInt[]);
823: PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat, Vec, PetscInt[]);
824: PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat, Vec, PetscInt[]);
825: PETSC_EXTERN PetscErrorCode MatGetRowSumAbs(Mat, Vec);
826: PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat, Vec, PetscInt[]);
827: PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat, Vec);
828: PETSC_EXTERN PetscErrorCode MatTranspose(Mat, MatReuse, Mat *);
829: PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat, Mat *);
830: PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat, Mat);
831: PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat, MatReuse, Mat *);
832: PETSC_EXTERN PetscErrorCode MatPermute(Mat, IS, IS, Mat *);
833: PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat, Vec, Vec);
834: PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat, Vec, InsertMode);

836: PETSC_EXTERN PetscErrorCode MatEqual(Mat, Mat, PetscBool *);
837: PETSC_EXTERN PetscErrorCode MatMultEqual(Mat, Mat, PetscInt, PetscBool *);
838: PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat, Mat, PetscInt, PetscBool *);
839: PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
840: PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
841: PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
842: PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
843: PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
844: PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
845: PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
846: PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
847: PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
848: PETSC_EXTERN PetscErrorCode MatIsLinear(Mat, PetscInt, PetscBool *);

850: PETSC_EXTERN PetscErrorCode MatNorm(Mat, NormType, PetscReal *);
851: PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat, NormType, PetscReal *);
852: PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat, PetscScalar *);
853: PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat, PetscReal *);
854: PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat, PetscReal *);
855: PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat, PetscScalar *);
856: PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat, PetscReal *);
857: PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat, PetscReal *);
858: PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat, PetscInt, PetscReal *);
859: PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
860: PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
861: PETSC_EXTERN PetscErrorCode MatZeroRows(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
862: PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat, IS, PetscScalar, Vec, Vec);
863: PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
864: PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
865: PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
866: PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat, IS, PetscScalar, Vec, Vec);

868: PETSC_EXTERN PetscErrorCode MatGetSize(Mat, PetscInt *, PetscInt *);
869: PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat, PetscInt *, PetscInt *);
870: PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat, PetscInt *, PetscInt *);
871: PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat, const PetscInt **);
872: PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat, PetscInt *, PetscInt *);
873: PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat, const PetscInt **);
874: PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat, IS *, IS *);

876: PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
877: 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[])
878: {
879:   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
880: }
881: PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
882: 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[])
883: {
884:   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
885: }
886: PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
887: PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
888: PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
889: PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatrix()", ) static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat)
890: {
891:   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
892: }
893: PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
894: PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
895: PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
896: PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);

898: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm, Mat, PetscInt, PetscInt, MatReuse, Mat *);
899: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm, Mat, PetscInt, PetscInt, Mat *);
900: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat, Mat);
901: PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat, MatReuse, Mat *);
902: PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat, Mat *);
903: PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
904: PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat, MatReuse, IS *, Mat *);
905: PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat, PetscCount *);
906: PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat, Mat, MatReuse, IS *, IS *, Mat *);
907: PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *, const PetscInt *[]);

909: PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
910: PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat, PetscInt, IS[], PetscInt);
911: PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);

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

915: PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
916: PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);

918: PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
919: PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);

921: PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
922: PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);

924: PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
925: PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);

927: PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
928: PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);

930: PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping, ISLocalToGlobalMapping);
931: PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
932: PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat, PetscLayout *, PetscLayout *);
933: PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat, PetscLayout, PetscLayout);
934: PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
935: PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
936: PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
937: PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
938: PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
939: PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
940: PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);

942: PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
943: PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);

945: PETSC_EXTERN PetscErrorCode MatInterpolate(Mat, Vec, Vec);
946: PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat, Vec, Vec, Vec);
947: PETSC_EXTERN PetscErrorCode MatRestrict(Mat, Vec, Vec);
948: PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat, Mat, Mat *);
949: PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat, Mat, Mat, Mat *);
950: PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat, Mat, Mat *);
951: PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat, Vec *, Vec *);
952: PETSC_DEPRECATED_FUNCTION(3, 6, 0, "MatCreateVecs()", ) static inline PetscErrorCode MatGetVecs(Mat mat, Vec *x, Vec *y)
953: {
954:   return MatCreateVecs(mat, x, y);
955: }
956: PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat, PetscInt, MPI_Comm, MatReuse, Mat *);
957: PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat, MPI_Comm, MatReuse, Mat *);
958: PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat, IS *);
959: PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat, IS *);
960: PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm, Mat, PetscInt, MatReuse, Mat *);

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

966:    Not Collective

968:    Input Parameters:
969: +  mat  - the matrix
970: .  i    - the row location of the entry
971: .  j    - the column location of the entry
972: .  va   - the value to insert
973: -  mode - either `INSERT_VALUES` or `ADD_VALUES`

975:    Level: beginner

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

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

983: .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `InsertMode`, `MatGetValue()`, `MatSetValues()`,
984:           `MatSetValueLocal()`, `MatSetValuesLocal()`
985: @*/
986: static inline PetscErrorCode MatSetValue(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
987: {
988:   return MatSetValues(mat, 1, &i, 1, &j, &va, mode);
989: }

991: /*@C
992:    MatGetValue - Gets a single value from a matrix

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

996:    Input Parameters:
997: +  mat - the matrix
998: .  row - the row location of the entry
999: -  col - the column location of the entry

1001:    Output Parameter:
1002: .  va - the value

1004:    Level: advanced

1006:    Notes:
1007:    The matrix must have been assembled with `MatAssemblyBegin()` and `MatAssemblyEnd()` before this call

1009:    For efficiency one should use `MatGetValues()` and get several values simultaneously.

1011:    See notes for `MatGetValues()`.

1013: .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `MatSetValue()`, `MatGetValuesLocal()`, `MatGetValues()`
1014: @*/
1015: static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
1016: {
1017:   return MatGetValues(mat, 1, &row, 1, &col, va);
1018: }

1020: /*@C
1021:    MatSetValueLocal - Inserts or adds a single value into a matrix, using a local numbering of the nodes.

1023:    Not Collective

1025:    Input Parameters:
1026: +  mat  - the matrix
1027: .  i    - the row location of the entry
1028: .  j    - the column location of the entry
1029: .  va   - the value to insert
1030: -  mode - either `INSERT_VALUES` or `ADD_VALUES`

1032:    Level: intermediate

1034:    Notes:
1035:    For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.

1037:    See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.

1039: .seealso: [](ch_matrices), `MatSetValue()`, `MatSetValuesLocal()`
1040: @*/
1041: static inline PetscErrorCode MatSetValueLocal(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
1042: {
1043:   return MatSetValuesLocal(mat, 1, &i, 1, &j, &va, mode);
1044: }

1046: /*MC
1047:    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
1048:    row in a matrix providing the data that one can use to correctly preallocate the matrix.

1050:    Synopsis:
1051: #include <petscmat.h>
1052:    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)

1054:    Collective

1056:    Input Parameters:
1057: +  comm  - the communicator that will share the eventually allocated matrix
1058: .  nrows - the number of LOCAL rows in the matrix
1059: -  ncols - the number of LOCAL columns in the matrix

1061:    Output Parameters:
1062: +  dnz - the array that will be passed to the matrix preallocation routines
1063: -  onz - the other array passed to the matrix preallocation routines

1065:    Level: deprecated (since v3.19)

1067:    Notes:
1068:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1069:    the use of this routine

1071:    This is a macro that handles its own error checking, it does not return an error code.

1073:    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines

1075:    Developer Note:
1076:    This is a MACRO, not a function, because it has a leading { that is closed by `PetscPreallocateFinalize()`.

1078: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1079:           `MatPreallocateSymmetricSetLocalBlock()`
1080: M*/
1081: #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
1082:   do { \
1083:     PetscInt              __nrows = (nrows), __ncols = (ncols), __rstart, __end = 0; \
1084:     PetscInt PETSC_UNUSED __start; \
1085:     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
1086:     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
1087:     __start = __end - __ncols; \
1088:     (void)__start; \
1089:     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
1090:   __rstart -= __nrows

1092: #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateBegin()", ) MatPreallocateBegin(__VA_ARGS__)

1094: /*MC
1095:    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1096:    inserted using a local number of the rows and columns

1098:    Synopsis:
1099: #include <petscmat.h>
1100:    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1102:    Not Collective

1104:    Input Parameters:
1105: +  map   - the row mapping from local numbering to global numbering
1106: .  nrows - the number of rows indicated
1107: .  rows  - the indices of the rows
1108: .  cmap  - the column mapping from local to global numbering
1109: .  ncols - the number of columns in the matrix
1110: .  cols  - the columns indicated
1111: .  dnz   - the array that will be passed to the matrix preallocation routines
1112: -  onz   - the other array passed to the matrix preallocation routines

1114:    Level: deprecated (since v3.19)

1116:    Notes:
1117:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1118:    the use of this routine

1120:    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines

1122: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`,
1123:           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
1124: M*/
1125: #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1126:   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));)

1128: /*MC
1129:    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1130:    inserted using a local number of the rows and columns. This version removes any duplicate columns in cols

1132:    Synopsis:
1133: #include <petscmat.h>
1134:    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1136:    Not Collective

1138:    Input Parameters:
1139: +  map   - the row mapping from local numbering to global numbering
1140: .  nrows - the number of rows indicated
1141: .  rows  - the indices of the rows (these values are mapped to the global values)
1142: .  cmap  - the column mapping from local to global numbering
1143: .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1144: .  cols  - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1145: .  dnz   - the array that will be passed to the matrix preallocation routines
1146: -  onz   - the other array passed to the matrix preallocation routines

1148:    Level: deprecated (since v3.19)

1150:    Notes:
1151:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1152:    the use of this routine

1154:    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines

1156: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`,
1157:           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1158: M*/
1159: #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1160:   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));)

1162: /*MC
1163:    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1164:    inserted using a local number of the rows and columns

1166:    Synopsis:
1167: #include <petscmat.h>
1168:    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1170:    Not Collective

1172:    Input Parameters:
1173: +  map   - the row mapping from local numbering to global numbering
1174: .  nrows - the number of rows indicated
1175: .  rows  - the indices of the rows
1176: .  cmap  - the column mapping from local to global numbering
1177: .  ncols - the number of columns in the matrix
1178: .  cols  - the columns indicated
1179: .  dnz   - the array that will be passed to the matrix preallocation routines
1180: -  onz   - the other array passed to the matrix preallocation routines

1182:    Level: deprecated (since v3.19)

1184:    Notes:
1185:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1186:    the use of this routine

1188:    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines

1190: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`,
1191:           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1192: M*/
1193: #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1194:   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));)

1196: /*MC
1197:    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1198:    inserted using a local number of the rows and columns

1200:    Synopsis:
1201: #include <petscmat.h>
1202:    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1204:    Not Collective

1206:    Input Parameters:
1207: +  map   - the mapping between local numbering and global numbering
1208: .  nrows - the number of rows indicated
1209: .  rows  - the indices of the rows
1210: .  ncols - the number of columns in the matrix
1211: .  cols  - the columns indicated
1212: .  dnz   - the array that will be passed to the matrix preallocation routines
1213: -  onz   - the other array passed to the matrix preallocation routines

1215:    Level: deprecated (since v3.19)

1217:    Notes:
1218:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1219:    the use of this routine

1221:    Do not malloc or free `dnz` and `onz` that is handled internally by these routines

1223: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`,
1224:           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1225: M*/
1226: #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1227:   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));)

1229: /*MC
1230:    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1231:    inserted using a local number of the rows and columns

1233:    Synopsis:
1234: #include <petscmat.h>
1235:    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1237:    Not Collective

1239:    Input Parameters:
1240: +  row   - the row
1241: .  ncols - the number of columns in the matrix
1242: -  cols  - the columns indicated

1244:    Output Parameters:
1245: +  dnz - the array that will be passed to the matrix preallocation routines
1246: -  onz - the other array passed to the matrix preallocation routines

1248:    Level: deprecated (since v3.19)

1250:    Notes:
1251:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1252:    the use of this routine

1254:    Do not malloc or free `dnz` and `onz` that is handled internally by these routines

1256:    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().

1258: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`,
1259:           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1260: M*/
1261: #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1262:   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) { \
1263:     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1264:     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1265:   })

1267: /*MC
1268:    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1269:    inserted using a local number of the rows and columns

1271:    Synopsis:
1272: #include <petscmat.h>
1273:    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1275:    Not Collective

1277:    Input Parameters:
1278: +  nrows - the number of rows indicated
1279: .  rows  - the indices of the rows
1280: .  ncols - the number of columns in the matrix
1281: .  cols  - the columns indicated
1282: .  dnz   - the array that will be passed to the matrix preallocation routines
1283: -  onz   - the other array passed to the matrix preallocation routines

1285:    Level: deprecated (since v3.19)

1287:    Notes:
1288:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1289:    the use of this routine

1291:    Do not malloc or free `dnz` and `onz` that is handled internally by these routines

1293:    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().

1295: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1296:           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1297: M*/
1298: #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1299:   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
1300:     if (cols[__i] >= __end) onz[row - __rstart]++; \
1301:     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1302:   })

1304: /*MC
1305:    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists

1307:    Synopsis:
1308: #include <petscmat.h>
1309:    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)

1311:    Not Collective

1313:    Input Parameters:
1314: +  A     - matrix
1315: .  row   - row where values exist (must be local to this process)
1316: .  ncols - number of columns
1317: .  cols  - columns with nonzeros
1318: .  dnz   - the array that will be passed to the matrix preallocation routines
1319: -  onz   - the other array passed to the matrix preallocation routines

1321:    Level: deprecated (since v3.19)

1323:    Notes:
1324:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1325:    the use of this routine

1327:    Do not malloc or free `dnz` and `onz` that is handled internally by these routines

1329:    Developer Note:
1330:    This is a MACRO, not a function, because it uses a bunch of variables private to the MatPreallocation.... routines.

1332: .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1333:           `MatPreallocateSymmetricSetLocalBlock()`
1334: M*/
1335: #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))

1337: /*MC
1338:    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1339:    row in a matrix providing the data that one can use to correctly preallocate the matrix.

1341:    Synopsis:
1342: #include <petscmat.h>
1343:    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)

1345:    Collective

1347:    Input Parameters:
1348: +  dnz - the array that was be passed to the matrix preallocation routines
1349: -  onz - the other array passed to the matrix preallocation routines

1351:    Level: deprecated (since v3.19)

1353:    Notes:
1354:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1355:    the use of this routine

1357:    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines

1359:    Developer Note:
1360:    This is a MACRO, not a function, because it closes the { started in MatPreallocateBegin().

1362: .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1363:           `MatPreallocateSymmetricSetLocalBlock()`
1364: M*/
1365: #define MatPreallocateEnd(dnz, onz) \
1366:   PetscCall(PetscFree2(dnz, onz)); \
1367:   } \
1368:   while (0)

1370: #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateEnd()", ) MatPreallocateEnd(__VA_ARGS__)

1372: /* Routines unique to particular data structures */
1373: PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, PetscCtxRt);

1375: PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1376: PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);

1378: PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1379: PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1380: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1381: PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1382: PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1383: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscCount, PetscBool);

1385: #define MAT_SKIP_ALLOCATION -4

1387: PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1388: PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1389: PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1390: PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);

1392: PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1393: PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1394: PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1395: PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1396: PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1397: PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1398: PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1399: PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1400: PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1401: PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1402: PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1403: PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1404: PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1405: PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1406: PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);

1408: PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1409: PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1410: PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatDenseSetLDA()", ) static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
1411: {
1412:   return MatDenseSetLDA(A, lda);
1413: }
1414: PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);

1416: PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);

1418: PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1419: PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);

1421: PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1422: PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1423: /*
1424:   These routines are not usually accessed directly, rather solving is
1425:   done through the KSP and PC interfaces.
1426: */

1428: /*J
1429:    MatOrderingType - String with the name of a PETSc matrix ordering. These orderings are most commonly used
1430:    to reduce fill in sparse factorizations.

1432:    Level: beginner

1434:    Notes:
1435:    If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and instead the external factorization solver package called utilizes one
1436:    of its own.

1438:    There is no `MatOrdering` object, the ordering is obtained directly from the matrix with `MatGetOrdering()`

1440:    Developer Note:
1441:    This API should be converted to an API similar to those for `MatColoring` and `MatPartitioning`

1443: .seealso: [](ch_matrices), [](sec_graph), `MatGetFactor()`, `MatGetOrdering()`, `MatColoringType`, `MatPartitioningType`, `MatCoarsenType`, `PCFactorSetOrderingType()`
1444: J*/
1445: typedef const char *MatOrderingType;
1446: #define MATORDERINGNATURAL       "natural"
1447: #define MATORDERINGND            "nd"
1448: #define MATORDERING1WD           "1wd"
1449: #define MATORDERINGRCM           "rcm"
1450: #define MATORDERINGQMD           "qmd"
1451: #define MATORDERINGROWLENGTH     "rowlength"
1452: #define MATORDERINGWBM           "wbm"
1453: #define MATORDERINGSPECTRAL      "spectral"
1454: #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1455: #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1456: #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 */
1457: #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */

1459: PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1460: PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1461: PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1462: PETSC_EXTERN PetscFunctionList MatOrderingList;

1464: #include "petscmatcoarsen.h"

1466: PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1467: PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);

1469: PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);

1471: /*S
1472:    MatFactorShiftType - Type of numeric shift used for factorizations

1474:    Values:
1475: +  `MAT_SHIFT_NONE`              - do not shift the matrix diagonal entries
1476: .  `MAT_SHIFT_NONZERO`           - shift the entries to be non-zero
1477: .  `MAT_SHIFT_POSITIVE_DEFINITE` - shift the entries to force the factorization to be positive definite
1478: -  `MAT_SHIFT_INBLOCKS`          - only shift the factors inside the small dense diagonal blocks of the matrix, for example with `MATBAIJ`

1480:    Level: intermediate

1482: .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `PCFactorSetShiftType()`
1483: S*/
1484: typedef enum {
1485:   MAT_SHIFT_NONE,
1486:   MAT_SHIFT_NONZERO,
1487:   MAT_SHIFT_POSITIVE_DEFINITE,
1488:   MAT_SHIFT_INBLOCKS
1489: } MatFactorShiftType;
1490: PETSC_EXTERN const char *const MatFactorShiftTypes[];
1491: PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];

1493: /*S
1494:     MatFactorError - indicates what type of error was generated in a matrix factorization

1496:     Values:
1497: +   `MAT_FACTOR_NOERROR`           - there was no error during the factorization
1498: .   `MAT_FACTOR_STRUCT_ZEROPIVOT`  - there was a missing entry in a diagonal location of the matrix
1499: .   `MAT_FACTOR_NUMERIC_ZEROPIVOT` - there was a (near) zero pivot during the factorization
1500: .   `MAT_FACTOR_OUTMEMORY`         - the factorization has run out of memory
1501: -   `MAT_FACTOR_OTHER`             - some other error has occurred.

1503:     Level: intermediate

1505:     Note:
1506:     When a factorization is done in a preconditioner `PC` the error may be propagated up to a `PCFailedReason` or a `KSPConvergedReason`

1508: .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `MatFactorGetError()`, `MatFactorGetErrorZeroPivot()`, `MatFactorClearError()`,
1509:           `PCFailedReason`, `PCGetFailedReason()`, `KSPConvergedReason`
1510: S*/
1511: typedef enum {
1512:   MAT_FACTOR_NOERROR,
1513:   MAT_FACTOR_STRUCT_ZEROPIVOT,
1514:   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1515:   MAT_FACTOR_OUTMEMORY,
1516:   MAT_FACTOR_OTHER
1517: } MatFactorError;

1519: PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1520: PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1521: PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);

1523: /*S
1524:    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization

1526:    Level: developer

1528:    Note:
1529:    You can use `MatFactorInfoInitialize()` to set default values.

1531:    Fortran Note:
1532:    `MatFactorInfo` is a derived type, use e.g. `matfactorinfo%dt` to access its components.

1534: .seealso: [](ch_matrices), `Mat`, `MatInfo`, `MatGetFactor()`, `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`,
1535:           `MatICCFactorSymbolic()`, `MatICCFactor()`, `MatFactorInfoInitialize()`
1536: S*/
1537: typedef struct {
1538:   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1539:   PetscReal usedt;
1540:   PetscReal dt;            /* drop tolerance */
1541:   PetscReal dtcol;         /* tolerance for pivoting */
1542:   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1543:   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1544:   PetscReal levels;        /* ICC/ILU(levels) */
1545:   PetscReal pivotinblocks; /* BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0 factorization may be faster if do not pivot */
1546:   PetscReal zeropivot;     /* pivot is called zero if less than this */
1547:   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1548:   PetscReal shiftamount;   /* how large the shift is */
1549:   PetscBool factoronhost;  /* do factorization on host instead of device (for device matrix types) */
1550:   PetscBool solveonhost;   /* do mat solve on host with the factor (for device matrix types) */
1551: } MatFactorInfo;

1553: PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1554: PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1555: PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1556: PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1557: PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1558: PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1559: PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1560: PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1561: PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1562: PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1563: PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1564: PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1565: PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1566: PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1567: PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1568: PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1569: PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1570: PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1571: PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1572: PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1573: PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1574: PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1575: PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);

1577: typedef enum {
1578:   MAT_FACTOR_SCHUR_UNFACTORED,
1579:   MAT_FACTOR_SCHUR_FACTORED,
1580:   MAT_FACTOR_SCHUR_INVERTED
1581: } MatFactorSchurStatus;
1582: PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1583: PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1584: PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1585: PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1586: PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1587: PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1588: PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1589: PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);

1591: PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1592: /*E
1593:    MatSORType - What type of (S)SOR to perform

1595:    Values:
1596: +  `SOR_FORWARD_SWEEP`         - do a sweep from the first row of the matrix to the last
1597: .  `SOR_BACKWARD_SWEEP`        - do a sweep from the last row to the first
1598: .  `SOR_SYMMETRIC_SWEEP`       - do a sweep from the first row to the last and then back to the first
1599: .  `SOR_LOCAL_FORWARD_SWEEP`   - each MPI process does its own forward sweep with no communication
1600: .  `SOR_LOCAL_BACKWARD_SWEEP`  - each MPI process does its own backward sweep with no communication
1601: .  `SOR_LOCAL_SYMMETRIC_SWEEP` - each MPI process does its own symmetric sweep with no communication
1602: .  `SOR_ZERO_INITIAL_GUESS`    - indicates the initial solution is zero so the sweep can avoid unneeded computation
1603: .  `SOR_EISENSTAT`             - apply the Eisentat application of SOR, see `PCEISENSTAT`
1604: .  `SOR_APPLY_UPPER`           - multiply by the upper triangular portion of the matrix
1605: -  `SOR_APPLY_LOWER`           - multiply by the lower triangular portion of the matrix

1607:    Level: beginner

1609:    Note:
1610:    These may be bitwise ORd together

1612:    Developer Note:
1613:    Since `MatSORType` may be bitwise ORd together, so do not change the numerical values below

1615: .seealso: [](ch_matrices), `MatSOR()`
1616: E*/
1617: typedef enum {
1618:   SOR_FORWARD_SWEEP         = 1,
1619:   SOR_BACKWARD_SWEEP        = 2,
1620:   SOR_SYMMETRIC_SWEEP       = 3,
1621:   SOR_LOCAL_FORWARD_SWEEP   = 4,
1622:   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1623:   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1624:   SOR_ZERO_INITIAL_GUESS    = 16,
1625:   SOR_EISENSTAT             = 32,
1626:   SOR_APPLY_UPPER           = 64,
1627:   SOR_APPLY_LOWER           = 128
1628: } MatSORType;
1629: PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);

1631: /*S
1632:    MatColoring - Object for managing the coloring of matrices.

1634:    Level: beginner

1636:    Notes:
1637:    Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1638:    matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).

1640:    Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1641:    same object can also be used to efficiently convert data created by Automatic Differentiation tools to PETSc sparse matrices.

1643: .seealso: [](ch_matrices), [](sec_graph), `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`,
1644:           `MatPartitioning`, `MatColoringType`, `MatPartitioningType`, `MatOrderingType`, `MatColoringSetWeightType()`,
1645:           `MatColoringSetWeights()`, `MatCoarsenType`, `MatCoarsen`
1646: S*/
1647: typedef struct _p_MatColoring *MatColoring;

1649: /*J
1650:    MatColoringType - String with the name of a PETSc matrix coloring

1652:    Level: beginner

1654: .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatFDColoringCreate()`, `MatColoringSetType()`, `MatColoring`
1655: J*/
1656: typedef const char *MatColoringType;
1657: #define MATCOLORINGJP      "jp"
1658: #define MATCOLORINGPOWER   "power"
1659: #define MATCOLORINGNATURAL "natural"
1660: #define MATCOLORINGSL      "sl"
1661: #define MATCOLORINGLF      "lf"
1662: #define MATCOLORINGID      "id"
1663: #define MATCOLORINGGREEDY  "greedy"

1665: /*E
1666:    MatColoringWeightType - Type of weight scheme used for the coloring algorithm

1668:    Values:
1669: +  `MAT_COLORING_RANDOM`  - Random weights
1670: .  `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1671: -  `MAT_COLORING_LF`      - Last-first weighting.

1673:     Level: intermediate

1675: .seealso: [](ch_matrices), `MatColoring`, `MatColoringCreate()`, `MatColoringSetWeightType()`, `MatColoringSetWeights()`
1676: E*/
1677: typedef enum {
1678:   MAT_COLORING_WEIGHT_RANDOM,
1679:   MAT_COLORING_WEIGHT_LEXICAL,
1680:   MAT_COLORING_WEIGHT_LF,
1681:   MAT_COLORING_WEIGHT_SL
1682: } MatColoringWeightType;

1684: PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1685: PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1686: PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1687: PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1688: PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1689: PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1690: PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1691: PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1692: PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1693: PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1694: PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1695: PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1696: PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1697: PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1698: PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1699: PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1700: PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1701: PETSC_DEPRECATED_FUNCTION(3, 10, 0, "MatColoringTest()", ) static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
1702: {
1703:   return MatColoringTest(matcoloring, iscoloring);
1704: }
1705: PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);

1707: /*S
1708:    MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring

1710:    Level: beginner

1712:    Options Database Key:
1713: .  -snes_fd_coloring - cause the Jacobian needed by `SNES` to be computed via a use of this object

1715:    Note:
1716:    This object is created utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`

1718: .seealso: [](ch_matrices), `Mat`, `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1719: S*/
1720: typedef struct _p_MatFDColoring *MatFDColoring;

1722: /*S
1723:   MatFDColoringFn - Function provided to `MatFDColoringSetFunction()` that computes the function being differenced

1725:   Level: advanced

1727:   Calling Sequence:
1728: + snes - either a `SNES` object if used within `SNES` otherwise an unused parameter
1729: . in   - the location where the Jacobian is to be computed
1730: . out  - the location to put the computed function value
1731: - fctx - the function context passed into `MatFDColoringSetFunction()`

1733: .seealso: [](ch_matrices), `Mat`, `MatCreateMFFD()`, `MatMFFDSetFunction()`, `MatMFFDiFn`, `MatMFFDiBaseFn`
1734: S*/
1735: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatFDColoringFn(void *snes, Vec x, Vec y, void *fctx);

1737: PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1738: PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1739: PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1740: PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, MatFDColoringFn *, void *);
1741: PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, MatFDColoringFn **, void **);
1742: PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1743: PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1744: PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1745: PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1746: PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1747: PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1748: PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1749: PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);

1751: /*S
1752:    MatTransposeColoring - Object for computing a sparse matrix product $C = A*B^T$ via coloring

1754:    Level: developer

1756: .seealso: [](ch_matrices), `Mat`, `MatProductType`, `MatTransposeColoringCreate()`
1757: S*/
1758: typedef struct _p_MatTransposeColoring *MatTransposeColoring;

1760: PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1761: PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1762: PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1763: PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);

1765: /*S
1766:    MatPartitioning - Object for managing the partitioning of a matrix or graph

1768:    Level: beginner

1770:    Note:
1771:    There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1772:    via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)

1774:    Developer Note:
1775:    It is an extra maintenance and documentation cost to have two objects with the same functionality. `PetscPartitioner` should be removed

1777: .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`, `MatOrderingType`,
1778:           `MatCoarsenType`
1779: S*/
1780: typedef struct _p_MatPartitioning *MatPartitioning;

1782: /*J
1783:     MatPartitioningType - String with the name of a PETSc matrix partitioning

1785:    Level: beginner
1786: dm
1787: .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`, `MatColoringType`, `MatOrderingType`,
1788:           `MatCoarsenType`
1789: J*/
1790: typedef const char *MatPartitioningType;
1791: #define MATPARTITIONINGCURRENT  "current"
1792: #define MATPARTITIONINGAVERAGE  "average"
1793: #define MATPARTITIONINGSQUARE   "square"
1794: #define MATPARTITIONINGPARMETIS "parmetis"
1795: #define MATPARTITIONINGCHACO    "chaco"
1796: #define MATPARTITIONINGPARTY    "party"
1797: #define MATPARTITIONINGPTSCOTCH "ptscotch"
1798: #define MATPARTITIONINGHIERARCH "hierarch"

1800: PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1801: PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1802: PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1803: PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1804: PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1805: PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1806: PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1807: PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1808: PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1809: PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1810: PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1811: PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1812: PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1813: PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1814: PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1815: PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1816: PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1817: PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1818: PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);

1820: PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning);
1821: PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1822: PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);

1824: typedef enum {
1825:   MP_CHACO_MULTILEVEL = 1,
1826:   MP_CHACO_SPECTRAL   = 2,
1827:   MP_CHACO_LINEAR     = 4,
1828:   MP_CHACO_RANDOM     = 5,
1829:   MP_CHACO_SCATTERED  = 6
1830: } MPChacoGlobalType;
1831: PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1832: typedef enum {
1833:   MP_CHACO_KERNIGHAN = 1,
1834:   MP_CHACO_NONE      = 2
1835: } MPChacoLocalType;
1836: PETSC_EXTERN const char *const MPChacoLocalTypes[];
1837: typedef enum {
1838:   MP_CHACO_LANCZOS = 0,
1839:   MP_CHACO_RQI     = 1
1840: } MPChacoEigenType;
1841: PETSC_EXTERN const char *const MPChacoEigenTypes[];

1843: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1844: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1845: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1846: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1847: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1848: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1849: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1850: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1851: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1852: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1853: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);

1855: #define MP_PARTY_OPT "opt"
1856: #define MP_PARTY_LIN "lin"
1857: #define MP_PARTY_SCA "sca"
1858: #define MP_PARTY_RAN "ran"
1859: #define MP_PARTY_GBF "gbf"
1860: #define MP_PARTY_GCF "gcf"
1861: #define MP_PARTY_BUB "bub"
1862: #define MP_PARTY_DEF "def"
1863: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1864: #define MP_PARTY_HELPFUL_SETS  "hs"
1865: #define MP_PARTY_KERNIGHAN_LIN "kl"
1866: #define MP_PARTY_NONE          "no"
1867: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1868: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1869: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1870: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);

1872: typedef enum {
1873:   MP_PTSCOTCH_DEFAULT,
1874:   MP_PTSCOTCH_QUALITY,
1875:   MP_PTSCOTCH_SPEED,
1876:   MP_PTSCOTCH_BALANCE,
1877:   MP_PTSCOTCH_SAFETY,
1878:   MP_PTSCOTCH_SCALABILITY
1879: } MPPTScotchStrategyType;
1880: PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];

1882: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1883: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1884: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1885: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);

1887: /*
1888:  * hierarchical partitioning
1889:  */
1890: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1891: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1892: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1893: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);

1895: PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);

1897: /*
1898:     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/petsc4py/PETSc/libpetsc4py.pyx
1899: */
1900: typedef enum {
1901:   MATOP_SET_VALUES                = 0,
1902:   MATOP_GET_ROW                   = 1,
1903:   MATOP_RESTORE_ROW               = 2,
1904:   MATOP_MULT                      = 3,
1905:   MATOP_MULT_ADD                  = 4,
1906:   MATOP_MULT_TRANSPOSE            = 5,
1907:   MATOP_MULT_TRANSPOSE_ADD        = 6,
1908:   MATOP_SOLVE                     = 7,
1909:   MATOP_SOLVE_ADD                 = 8,
1910:   MATOP_SOLVE_TRANSPOSE           = 9,
1911:   MATOP_SOLVE_TRANSPOSE_ADD       = 10,
1912:   MATOP_LUFACTOR                  = 11,
1913:   MATOP_CHOLESKYFACTOR            = 12,
1914:   MATOP_SOR                       = 13,
1915:   MATOP_TRANSPOSE                 = 14,
1916:   MATOP_GETINFO                   = 15,
1917:   MATOP_EQUAL                     = 16,
1918:   MATOP_GET_DIAGONAL              = 17,
1919:   MATOP_DIAGONAL_SCALE            = 18,
1920:   MATOP_NORM                      = 19,
1921:   MATOP_ASSEMBLY_BEGIN            = 20,
1922:   MATOP_ASSEMBLY_END              = 21,
1923:   MATOP_SET_OPTION                = 22,
1924:   MATOP_ZERO_ENTRIES              = 23,
1925:   MATOP_ZERO_ROWS                 = 24,
1926:   MATOP_LUFACTOR_SYMBOLIC         = 25,
1927:   MATOP_LUFACTOR_NUMERIC          = 26,
1928:   MATOP_CHOLESKY_FACTOR_SYMBOLIC  = 27,
1929:   MATOP_CHOLESKY_FACTOR_NUMERIC   = 28,
1930:   MATOP_SETUP                     = 29,
1931:   MATOP_ILUFACTOR_SYMBOLIC        = 30,
1932:   MATOP_ICCFACTOR_SYMBOLIC        = 31,
1933:   MATOP_GET_DIAGONAL_BLOCK        = 32,
1934:   MATOP_SET_INF                   = 33,
1935:   MATOP_DUPLICATE                 = 34,
1936:   MATOP_FORWARD_SOLVE             = 35,
1937:   MATOP_BACKWARD_SOLVE            = 36,
1938:   MATOP_ILUFACTOR                 = 37,
1939:   MATOP_ICCFACTOR                 = 38,
1940:   MATOP_AXPY                      = 39,
1941:   MATOP_CREATE_SUBMATRICES        = 40,
1942:   MATOP_INCREASE_OVERLAP          = 41,
1943:   MATOP_GET_VALUES                = 42,
1944:   MATOP_COPY                      = 43,
1945:   MATOP_GET_ROW_MAX               = 44,
1946:   MATOP_SCALE                     = 45,
1947:   MATOP_SHIFT                     = 46,
1948:   MATOP_DIAGONAL_SET              = 47,
1949:   MATOP_ZERO_ROWS_COLUMNS         = 48,
1950:   MATOP_SET_RANDOM                = 49,
1951:   MATOP_GET_ROW_IJ                = 50,
1952:   MATOP_RESTORE_ROW_IJ            = 51,
1953:   MATOP_GET_COLUMN_IJ             = 52,
1954:   MATOP_RESTORE_COLUMN_IJ         = 53,
1955:   MATOP_FDCOLORING_CREATE         = 54,
1956:   MATOP_COLORING_PATCH            = 55,
1957:   MATOP_SET_UNFACTORED            = 56,
1958:   MATOP_PERMUTE                   = 57,
1959:   MATOP_SET_VALUES_BLOCKED        = 58,
1960:   MATOP_CREATE_SUBMATRIX          = 59,
1961:   MATOP_DESTROY                   = 60,
1962:   MATOP_VIEW                      = 61,
1963:   MATOP_CONVERT_FROM              = 62,
1964:   MATOP_MATMAT_MULT_SYMBOLIC      = 63,
1965:   MATOP_MATMAT_MULT_NUMERIC       = 64,
1966:   MATOP_SET_LOCAL_TO_GLOBAL_MAP   = 65,
1967:   MATOP_SET_VALUES_LOCAL          = 66,
1968:   MATOP_ZERO_ROWS_LOCAL           = 67,
1969:   MATOP_GET_ROW_MAX_ABS           = 68,
1970:   MATOP_GET_ROW_MIN_ABS           = 69,
1971:   MATOP_CONVERT                   = 70,
1972:   MATOP_HAS_OPERATION             = 71,
1973:   MATOP_FD_COLORING_APPLY         = 72,
1974:   MATOP_SET_FROM_OPTIONS          = 73,
1975:   MATOP_FIND_ZERO_DIAGONALS       = 74,
1976:   MATOP_MULT_MULTIPLE             = 75,
1977:   MATOP_SOLVE_MULTIPLE            = 76,
1978:   MATOP_GET_INERTIA               = 77,
1979:   MATOP_LOAD                      = 78,
1980:   MATOP_IS_SYMMETRIC              = 79,
1981:   MATOP_IS_HERMITIAN              = 80,
1982:   MATOP_IS_STRUCTURALLY_SYMMETRIC = 81,
1983:   MATOP_SET_VALUES_BLOCKEDLOCAL   = 82,
1984:   MATOP_CREATE_VECS               = 83,
1985:   MATOP_MAT_MULT_SYMBOLIC         = 84,
1986:   MATOP_MAT_MULT_NUMERIC          = 85,
1987:   MATOP_PTAP_NUMERIC              = 86,
1988:   MATOP_MAT_TRANSPOSE_MULT_SYMBO  = 87,
1989:   MATOP_MAT_TRANSPOSE_MULT_NUMER  = 88,
1990:   MATOP_BIND_TO_CPU               = 89,
1991:   MATOP_PRODUCTSETFROMOPTIONS     = 90,
1992:   MATOP_PRODUCTSYMBOLIC           = 91,
1993:   MATOP_PRODUCTNUMERIC            = 92,
1994:   MATOP_CONJUGATE                 = 93,
1995:   MATOP_VIEW_NATIVE               = 94,
1996:   MATOP_SET_VALUES_ROW            = 95,
1997:   MATOP_REAL_PART                 = 96,
1998:   MATOP_IMAGINARY_PART            = 97,
1999:   MATOP_GET_ROW_UPPER_TRIANGULAR  = 98,
2000:   MATOP_RESTORE_ROW_UPPER_TRIANG  = 99,
2001:   MATOP_MAT_SOLVE                 = 100,
2002:   MATOP_MAT_SOLVE_TRANSPOSE       = 101,
2003:   MATOP_GET_ROW_MIN               = 102,
2004:   MATOP_GET_COLUMN_VECTOR         = 103,
2005:   MATOP_GET_SEQ_NONZERO_STRUCTUR  = 104,
2006:   MATOP_CREATE                    = 105,
2007:   MATOP_GET_GHOSTS                = 106,
2008:   MATOP_GET_LOCAL_SUB_MATRIX      = 107,
2009:   MATOP_RESTORE_LOCALSUB_MATRIX   = 108,
2010:   MATOP_MULT_DIAGONAL_BLOCK       = 109,
2011:   MATOP_HERMITIAN_TRANSPOSE       = 110,
2012:   MATOP_MULT_HERMITIAN_TRANSPOSE  = 111,
2013:   MATOP_MULT_HERMITIAN_TRANS_ADD  = 112,
2014:   MATOP_GET_MULTI_PROC_BLOCK      = 113,
2015:   MATOP_FIND_NONZERO_ROWS         = 114,
2016:   MATOP_GET_COLUMN_NORMS          = 115,
2017:   MATOP_INVERT_BLOCK_DIAGONAL     = 116,
2018:   MATOP_INVERT_VBLOCK_DIAGONAL    = 117,
2019:   MATOP_CREATE_SUB_MATRICES_MPI   = 118,
2020:   MATOP_SET_VALUES_BATCH          = 119,
2021:   MATOP_TRANSPOSE_MAT_MULT_SYMBO  = 120,
2022:   MATOP_TRANSPOSE_MAT_MULT_NUMER  = 121,
2023:   MATOP_TRANSPOSE_COLORING_CREAT  = 122,
2024:   MATOP_TRANS_COLORING_APPLY_SPT  = 123,
2025:   MATOP_TRANS_COLORING_APPLY_DEN  = 124,
2026:   MATOP_RART_NUMERIC              = 125,
2027:   MATOP_SET_BLOCK_SIZES           = 126,
2028:   MATOP_RESIDUAL                  = 127,
2029:   MATOP_FDCOLORING_SETUP          = 128,
2030:   MATOP_FIND_OFFBLOCK_ENTRIES     = 129,
2031:   MATOP_MPICONCATENATESEQ         = 130,
2032:   MATOP_DESTROYSUBMATRICES        = 131,
2033:   MATOP_MAT_TRANSPOSE_SOLVE       = 132,
2034:   MATOP_GET_VALUES_LOCAL          = 133,
2035:   MATOP_CREATE_GRAPH              = 134,
2036:   MATOP_TRANSPOSE_SYMBOLIC        = 135,
2037:   MATOP_ELIMINATE_ZEROS           = 136,
2038:   MATOP_GET_ROW_SUM_ABS           = 137,
2039:   MATOP_GET_FACTOR                = 138,
2040:   MATOP_GET_BLOCK_DIAGONAL        = 139, /* NOTE: caller of the two op functions owns the returned matrix */
2041:   MATOP_GET_VBLOCK_DIAGONAL       = 140, /* and need to destroy it after use. */
2042:   MATOP_COPY_HASH_TO_XAIJ         = 141,
2043:   MATOP_GET_CURRENT_MEM_TYPE      = 142,
2044:   MATOP_ZERO_ROWS_COLUMNS_LOCAL   = 143,
2045:   MATOP_ADOT                      = 144,
2046:   MATOP_ANORM                     = 145,
2047:   MATOP_ADOT_LOCAL                = 146,
2048:   MATOP_ANORM_LOCAL               = 147
2049: } MatOperation;

2051: PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, PetscErrorCodeFn *);
2052: PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, PetscErrorCodeFn **);
2053: PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
2054: PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
2055: PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatProductClear()", ) static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
2056: {
2057:   return MatProductClear(A);
2058: }
2059: PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, PetscErrorCodeFn *);
2060: PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, PetscErrorCodeFn **);
2061: PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, PetscCtx);
2062: PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscCtxDestroyFn *);
2063: PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
2064: PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2065: PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2066: PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
2067: PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscCtxDestroyFn *, MatType, MatType);
2068: PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);

2070: /*
2071:    Codes for matrices stored on disk. By default they are
2072:    stored in a universal format. By changing the format with
2073:    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
2074:    be stored in a way natural for the matrix, for example dense matrices
2075:    would be stored as dense. Matrices stored this way may only be
2076:    read into matrices of the same type.
2077: */
2078: #define MATRIX_BINARY_FORMAT_DENSE -1

2080: PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);

2082: PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
2083: PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
2084: PETSC_EXTERN PetscErrorCode MatISSetAllowRepeated(Mat, PetscBool);
2085: PETSC_EXTERN PetscErrorCode MatISGetAllowRepeated(Mat, PetscBool *);
2086: PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
2087: PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
2088: PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
2089: PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
2090: PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
2091: PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);

2093: /*S
2094:    MatNullSpace - Object that removes a null space from a vector, i.e.
2095:                   orthogonalizes the vector to a subspace

2097:    Level: advanced

2099: .seealso: [](ch_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2100: S*/
2101: typedef struct _p_MatNullSpace *MatNullSpace;

2103: /*S
2104:   MatNullSpaceRemoveFn - Function provided to `MatNullSpaceSetFunction()` that removes the null space from a vector

2106:   Level: advanced

2108:   Calling Sequence:
2109: + nsp - the `MatNullSpace` object
2110: . x   - the vector from which to remove the null space
2111: - ctx - [optional] user-defined function context provided with `MatNullSpaceSetFunction()`

2113: .seealso: [](ch_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2114: S*/
2115: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatNullSpaceRemoveFn(MatNullSpace nsp, Vec x, PetscCtx ctx);

2117: PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
2118: PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, MatNullSpaceRemoveFn *, void *);
2119: PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
2120: PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
2121: PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
2122: PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
2123: PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
2124: PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
2125: PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
2126: PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
2127: PETSC_EXTERN PetscErrorCode MatGetNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2128: PETSC_EXTERN PetscErrorCode MatRestoreNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2129: PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
2130: PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
2131: PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
2132: PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);

2134: PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
2135: PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
2136: PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);

2138: PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
2139: PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
2140: PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);

2142: PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
2143: PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);

2145: PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperator()", ) static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
2146: {
2147:   return MatComputeOperator(A, PETSC_NULLPTR, B);
2148: }
2149: PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperatorTranspose()", ) static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
2150: {
2151:   return MatComputeOperatorTranspose(A, PETSC_NULLPTR, B);
2152: }

2154: PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
2155: PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
2156: PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
2157: PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2158: PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
2159: PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
2160: PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
2161: PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2162: PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
2163: PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
2164: PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
2165: PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
2166: PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
2167: PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);

2169: PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);

2171: PETSC_EXTERN PetscErrorCode MatMFFDInitializePackage(void);
2172: PETSC_EXTERN PetscErrorCode MatMFFDFinalizePackage(void);

2174: /*S
2175:   MatMFFDFn - Function provided to `MatMFFDSetFunction()` that computes the function being differenced

2177:   Level: advanced

2179:   Calling Sequence:
2180: + ctx - [optional] user-defined function context provided with `MatMFFDSetFunction()`
2181: . x   - input vector
2182: - y   - output vector

2184: .seealso: [](ch_matrices), `Mat`, `MatCreateMFFD()`, `MatMFFDSetFunction()`, `MatMFFDiFn`, `MatMFFDiBaseFn`
2185: S*/
2186: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatMFFDFn(PetscCtx ctx, Vec x, Vec y);

2188: /*S
2189:   MatMFFDiFn - Function provided to `MatMFFDSetFunctioni()` that computes the function being differenced at a single point

2191:   Level: advanced

2193:   Calling Sequence:
2194: + ctx    - [optional] user-defined function context provided with `MatMFFDSetFunction()`
2195: . i      - the component of the vector to compute
2196: . x      - input vector
2197: - result - the value of the function at that component (output)

2199: .seealso: [](ch_matrices), `Mat`, `MatCreateMFFD()`, `MatMFFDSetFunction()`, `MatMFFDFn`, `MatMFFDiBaseFn`
2200: S*/
2201: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatMFFDiFn(PetscCtx ctx, PetscInt i, Vec x, PetscScalar *result);

2203: /*S
2204:   MatMFFDiBaseFn - Function provided to `MatMFFDSetFunctioniBase()` that computes the base of the function evaluations
2205:   that will be used for differencing

2207:   Level: advanced

2209:   Calling Sequence:
2210: + ctx - [optional] user-defined function context provided with `MatMFFDSetFunction()`
2211: - x   - input base vector

2213: .seealso: [](ch_matrices), `Mat`, `MatCreateMFFD()`, `MatMFFDSetFunction()`, `MatMFFDSetFunctioniBase()`, `MatMFFDFn`, `MatMFFDiFn`
2214: S*/
2215: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatMFFDiBaseFn(PetscCtx ctx, Vec x);

2217: /*S
2218:   MatMFFDCheckhFn - Function provided to `MatMFFDSetCheckh()` that checks and possibly adjusts the value of `h` to ensure some property.
2219:   that will be used for differencing

2221:   Level: advanced

2223:   Calling Sequence:
2224: + ctx - [optional] user-defined function context provided with `MatMFFDSetCheckh()`
2225: . x   - input base vector
2226: . y   - input step vector that the product is computed with
2227: - h   - input tentative step, output possibly adjusted step

2229:   Note:
2230:   `MatMFFDCheckPositivity()` is one such function

2232: .seealso: [](ch_matrices), `Mat`, `MatCreateMFFD()`, `MatMFFDSetCheckh()`, `MatMFFDCheckPositivity()`
2233: S*/
2234: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatMFFDCheckhFn(PetscCtx ctx, Vec x, Vec y, PetscScalar *h);

2236: PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2237: PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
2238: PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, MatMFFDFn *, void *);
2239: PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, MatMFFDiFn *);
2240: PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, MatMFFDiBaseFn *);
2241: PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
2242: PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
2243: PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
2244: PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
2245: PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
2246: PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
2247: PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
2248: PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, MatMFFDCheckhFn *, void *);

2250: /*S
2251:     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2252:               Jacobian vector products

2254:     Level: developer

2256:     Notes:
2257:     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure

2259:      MatMFFD*() methods actually take the `Mat` as their first argument. Not a `MatMFFD` data structure

2261:     This functionality is often obtained using `MatCreateSNESMF()` or with `SNES` solvers using `-snes_mf` or `-snes_mf_operator`

2263: .seealso: [](ch_matrices), `MatMFFDType`, `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`,
2264:           `MatCreateSNESMF()`, `SNES`, `-snes_mf`, `-snes_mf_operator`
2265: S*/
2266: typedef struct _p_MatMFFD *MatMFFD;

2268: /*J
2269:    MatMFFDType - algorithm used to compute the `h` used in computing matrix-vector products via differencing of a function

2271:    Values:
2272: +   `MATMFFD_DS` - an algorithm described by Dennis and Schnabel {cite}`dennis:83`
2273: -   `MATMFFD_WP` - the Walker-Pernice {cite}`pw98` strategy.

2275:    Level: beginner

2277: .seealso: [](ch_matrices), `MatMFFDSetType()`, `MatMFFDRegister()`, `MatMFFDSetFunction()`, `MatCreateMFFD()`
2278: J*/
2279: typedef const char *MatMFFDType;
2280: #define MATMFFD_DS "ds"
2281: #define MATMFFD_WP "wp"

2283: PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2284: PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));

2286: PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2287: PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);

2289: PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);

2291: PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2292: PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);

2294: #ifdef PETSC_HAVE_H2OPUS
2295: PETSC_EXTERN_TYPEDEF typedef PetscScalar(MatH2OpusKernelFn)(PetscInt, PetscReal[], PetscReal[], void *);
2296: PETSC_EXTERN_TYPEDEF typedef MatH2OpusKernelFn *MatH2OpusKernel;

2298: PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernelFn *, void *, PetscReal, PetscInt, PetscInt, Mat *);
2299: PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2300: PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2301: PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
2302: PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat, PetscReal);
2303: PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat, PetscBool);
2304: PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat, PetscBool *);
2305: PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat, IS *);
2306: PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2307: PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2308: #endif

2310: #ifdef PETSC_HAVE_HTOOL
2311: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode    MatHtoolKernelFn(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2312: PETSC_EXTERN_TYPEDEF typedef MatHtoolKernelFn *MatHtoolKernel;

2314: PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernelFn *, void *, Mat *);
2315: PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat, MatHtoolKernelFn *, void *);
2316: PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat, IS *);
2317: PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat, IS *);
2318: PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat, PetscBool);
2319: PETSC_EXTERN PetscErrorCode MatHtoolUseRecompression(Mat, PetscBool);

2321: /*E
2322:    MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`

2324:    Values:
2325: +  `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2326: .  `MAT_HTOOL_COMPRESSOR_FULL_ACA`                 - full adaptive cross approximation
2327: -  `MAT_HTOOL_COMPRESSOR_SVD`                      - singular value decomposition

2329:    Level: intermediate

2331: .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2332: E*/
2333: typedef enum {
2334:   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2335:   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2336:   MAT_HTOOL_COMPRESSOR_SVD
2337: } MatHtoolCompressorType;

2339: /*E
2340:    MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`

2342:    Values:
2343: +  `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default)    - axis computed via principle component analysis, split uniformly
2344: .  `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC`            - axis computed via principle component analysis, split barycentrically
2345: .  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR`   - axis along the largest extent of the bounding box, split uniformly
2346: -  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically

2348:    Level: intermediate

2350:    Note:
2351:    Higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types

2353: .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2354: E*/
2355: typedef enum {
2356:   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2357:   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2358:   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2359:   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2360: } MatHtoolClusteringType;
2361: #endif

2363: PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2364: PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2365: PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2366: PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);

2368: PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2369: PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2370: PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2371: PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2372: PETSC_EXTERN PetscErrorCode MatMumpsGetNullPivots(Mat, PetscInt *, PetscInt **);
2373: PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2374: PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2375: PETSC_EXTERN PetscErrorCode MatMumpsSetBlk(Mat, PetscInt, const PetscInt[], const PetscInt[]);

2377: PETSC_EXTERN PetscErrorCode MatMumpsSetOocTmpDir(Mat, const char *);
2378: PETSC_EXTERN PetscErrorCode MatMumpsGetOocTmpDir(Mat, const char **);

2380: #ifdef PETSC_HAVE_MKL_PARDISO
2381: PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2382: #endif

2384: #ifdef PETSC_HAVE_MKL_CPARDISO
2385: PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2386: #endif

2388: #ifdef PETSC_HAVE_SUPERLU
2389: PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2390: #endif

2392: #ifdef PETSC_HAVE_SUPERLU_DIST
2393: PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2394: #endif

2396: #ifdef PETSC_HAVE_STRUMPACK
2397: /*E
2398:     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `MATSOLVERSTRUMPACK`

2400:     Values:
2401: +  `MAT_STRUMPACK_NATURAL`   - use the current ordering
2402: .  `MAT_STRUMPACK_METIS`     - use MeTis to compute an ordering
2403: .  `MAT_STRUMPACK_PARMETIS`  - use ParMeTis to compute an ordering
2404: .  `MAT_STRUMPACK_SCOTCH`    - use Scotch to compute an ordering
2405: .  `MAT_STRUMPACK_PTSCOTCH`  - use parallel Scotch to compute an ordering
2406: .  `MAT_STRUMPACK_RCM`       - use an RCM ordering
2407: .  `MAT_STRUMPACK_GEOMETRIC` - use a geometric ordering (needs mesh info from user)
2408: .  `MAT_STRUMPACK_AMD`       - approximate minimum degree
2409: .  `MAT_STRUMPACK_MMD`       - multiple minimum degree
2410: .  `MAT_STRUMPACK_AND`       - approximate nested dissection
2411: .  `MAT_STRUMPACK_MLF`       - minimum local fill
2412: -  `MAT_STRUMPACK_SPECTRAL`  - spectral nested dissection

2414:     Level: intermediate

2416:     Developer Note:
2417:     Should be called `MatSTRUMPACKReorderingType`

2419: .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetReordering()`
2420: E*/
2421: typedef enum {
2422:   MAT_STRUMPACK_NATURAL,
2423:   MAT_STRUMPACK_METIS,
2424:   MAT_STRUMPACK_PARMETIS,
2425:   MAT_STRUMPACK_SCOTCH,
2426:   MAT_STRUMPACK_PTSCOTCH,
2427:   MAT_STRUMPACK_RCM,
2428:   MAT_STRUMPACK_GEOMETRIC,
2429:   MAT_STRUMPACK_AMD,
2430:   MAT_STRUMPACK_MMD,
2431:   MAT_STRUMPACK_AND,
2432:   MAT_STRUMPACK_MLF,
2433:   MAT_STRUMPACK_SPECTRAL
2434: } MatSTRUMPACKReordering;

2436: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2437: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetReordering(Mat, MatSTRUMPACKReordering *);
2438: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricNxyz(Mat, PetscInt, PetscInt, PetscInt);
2439: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricComponents(Mat, PetscInt);
2440: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricWidth(Mat, PetscInt);
2441: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2442: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetColPerm(Mat, PetscBool *);
2443: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGPU(Mat, PetscBool);
2444: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetGPU(Mat, PetscBool *);

2446: /*E
2447:     MatSTRUMPACKCompressionType - Compression used in the approximate sparse factorization solver `MATSOLVERSTRUMPACK`

2449:     Values:
2450: +  `MAT_STRUMPACK_COMPRESSION_TYPE_NONE`          - no compression, direct solver
2451: .  `MAT_STRUMPACK_COMPRESSION_TYPE_HSS`           - hierarchically semi-separable
2452: .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR`           - block low rank
2453: .  `MAT_STRUMPACK_COMPRESSION_TYPE_HODLR`         - hierarchically off-diagonal low rank (requires ButterfyPACK support, configure with --download-butterflypack)
2454: .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR`     - hybrid of BLR and HODLR (requires ButterfyPACK support, configure with --download-butterflypack)
2455: .  `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)
2456: .  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS`      - lossless compression (requires ZFP support, configure with --download-zfp)
2457: -  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY`         - lossy compression (requires ZFP support, configure with --download-zfp)

2459:     Level: intermediate

2461: .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetCompression()`
2462: E*/
2463: typedef enum {
2464:   MAT_STRUMPACK_COMPRESSION_TYPE_NONE,
2465:   MAT_STRUMPACK_COMPRESSION_TYPE_HSS,
2466:   MAT_STRUMPACK_COMPRESSION_TYPE_BLR,
2467:   MAT_STRUMPACK_COMPRESSION_TYPE_HODLR,
2468:   MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR,
2469:   MAT_STRUMPACK_COMPRESSION_TYPE_ZFP_BLR_HODLR,
2470:   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS,
2471:   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY
2472: } MatSTRUMPACKCompressionType;

2474: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompression(Mat, MatSTRUMPACKCompressionType);
2475: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompression(Mat, MatSTRUMPACKCompressionType *);
2476: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompRelTol(Mat, PetscReal);
2477: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompRelTol(Mat, PetscReal *);
2478: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompAbsTol(Mat, PetscReal);
2479: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompAbsTol(Mat, PetscReal *);
2480: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompMinSepSize(Mat, PetscInt);
2481: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompMinSepSize(Mat, PetscInt *);
2482: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLeafSize(Mat, PetscInt);
2483: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLeafSize(Mat, PetscInt *);
2484: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLossyPrecision(Mat, PetscInt);
2485: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLossyPrecision(Mat, PetscInt *);
2486: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompButterflyLevels(Mat, PetscInt);
2487: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompButterflyLevels(Mat, PetscInt *);
2488: #endif

2490: PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2491: PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2492: PETSC_DEPRECATED_FUNCTION(3, 13, 0, "MatBindToCPU()", ) static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2493: {
2494:   return MatBindToCPU(A, flg);
2495: }
2496: PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2497: PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);

2499: #ifdef PETSC_HAVE_CUDA
2500: /*E
2501:     MatCUSPARSEStorageFormat - indicates the storage format for `MATAIJCUSPARSE` (GPU)
2502:     matrices.

2504:     Values:
2505: +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2506: .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2507: -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).

2509:     Level: intermediate

2511: .seealso: [](ch_matrices), `MATAIJCUSPARSE`, `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2512: E*/

2514: typedef enum {
2515:   MAT_CUSPARSE_CSR,
2516:   MAT_CUSPARSE_ELL,
2517:   MAT_CUSPARSE_HYB
2518: } MatCUSPARSEStorageFormat;

2520: /* these will be strings associated with enumerated type defined above */
2521: PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];

2523: /*E
2524:     MatCUSPARSEFormatOperation - indicates the operation of `MATAIJCUSPARSE` (GPU)
2525:     matrices whose operation should use a particular storage format.

2527:     Values:
2528: +   `MAT_CUSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2529: .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2530: .   `MAT_CUSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2531: -   `MAT_CUSPARSE_ALL`          - sets the storage format for all `MATAIJCUSPARSE` (GPU) matrices

2533:     Level: intermediate

2535: .seealso: [](ch_matrices), `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2536: E*/
2537: typedef enum {
2538:   MAT_CUSPARSE_MULT_DIAG,
2539:   MAT_CUSPARSE_MULT_OFFDIAG,
2540:   MAT_CUSPARSE_MULT,
2541:   MAT_CUSPARSE_ALL
2542: } MatCUSPARSEFormatOperation;

2544: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2545: PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2546: PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2547: PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2548: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2549: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2550: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2551: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2552: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2553: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2554: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2555: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);

2557: PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2558: PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2559: PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2560: PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2561: PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2562: PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2563: PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2564: PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2565: PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2566: PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2567: PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2568: PETSC_EXTERN PetscErrorCode MatDenseCUDASetPreallocation(Mat, PetscScalar *);

2570: PETSC_EXTERN PetscErrorCode MatCreateSeqSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2571: PETSC_EXTERN PetscErrorCode MatCreateSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2572: #endif

2574: #ifdef PETSC_HAVE_HIP
2575: /*E
2576:     MatHIPSPARSEStorageFormat - indicates the storage format for `MATAIJHIPSPARSE` (GPU)
2577:     matrices.

2579:     Values:
2580: +   `MAT_HIPSPARSE_CSR` - Compressed Sparse Row
2581: .   `MAT_HIPSPARSE_ELL` - Ellpack
2582: -   `MAT_HIPSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format

2584:     Level: intermediate

2586: .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
2587: E*/

2589: typedef enum {
2590:   MAT_HIPSPARSE_CSR,
2591:   MAT_HIPSPARSE_ELL,
2592:   MAT_HIPSPARSE_HYB
2593: } MatHIPSPARSEStorageFormat;

2595: /* these will be strings associated with enumerated type defined above */
2596: PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];

2598: /*E
2599:     MatHIPSPARSEFormatOperation - indicates the operation of `MATAIJHIPSPARSE` (GPU)
2600:     matrices whose operation should use a particular storage format.

2602:     Values:
2603: +   `MAT_HIPSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2604: .   `MAT_HIPSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2605: .   `MAT_HIPSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2606: -   `MAT_HIPSPARSE_ALL`          - sets the storage format for all HIPSPARSE (GPU) matrices

2608:     Level: intermediate

2610: .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
2611: E*/
2612: typedef enum {
2613:   MAT_HIPSPARSE_MULT_DIAG,
2614:   MAT_HIPSPARSE_MULT_OFFDIAG,
2615:   MAT_HIPSPARSE_MULT,
2616:   MAT_HIPSPARSE_ALL
2617: } MatHIPSPARSEFormatOperation;

2619: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2620: PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2621: PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
2622: PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
2623: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2624: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2625: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
2626: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
2627: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
2628: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
2629: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
2630: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);

2632: PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2633: PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2634: PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
2635: PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
2636: PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
2637: PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
2638: PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
2639: PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
2640: PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
2641: PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
2642: PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);
2643: PETSC_EXTERN PetscErrorCode MatDenseHIPSetPreallocation(Mat, PetscScalar *);
2644: PETSC_EXTERN PetscErrorCode MatCreateSeqSELLHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2645: PETSC_EXTERN PetscErrorCode MatCreateSELLHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2646: #endif

2648: #if defined(PETSC_HAVE_VIENNACL)
2649: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2650: PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2651: #endif

2653: #if PetscDefined(HAVE_KOKKOS)
2654: PETSC_EXTERN PetscErrorCode MatCreateAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2655: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2656: #endif

2658: #if defined(PETSC_HAVE_FFTW)
2659: PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2660: PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2661: PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2662: #endif

2664: #if defined(PETSC_HAVE_SCALAPACK) && (defined(PETSC_USE_REAL_SINGLE) || defined(PETSC_USE_REAL_DOUBLE))
2665: PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2666: PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2667: PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2668: #endif

2670: PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2671: PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2672: PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2673: PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2674: PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2675: PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2676: PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2677: PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2678: PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);

2680: PETSC_EXTERN PetscErrorCode MatFilter(Mat, PetscReal, PetscBool, PetscBool);
2681: PETSC_DEPRECATED_FUNCTION(3, 20, 0, "MatFilter()", ) static inline PetscErrorCode MatChop(Mat A, PetscReal tol)
2682: {
2683:   return MatFilter(A, tol, PETSC_FALSE, PETSC_FALSE);
2684: }
2685: PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);

2687: PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);

2689: PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);

2691: PETSC_EXTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2692: PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);

2694: PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);

2696: PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, PetscInt, PetscInt[], Mat *);
2697: PETSC_EXTERN PetscErrorCode MatEliminateZeros(Mat, PetscBool);

2699: PETSC_EXTERN PetscErrorCode MatCreateDenseFromVecType(MPI_Comm, VecType, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar *, Mat *);
2700: PETSC_EXTERN PetscErrorCode MatCreateDenseWithMemType(MPI_Comm, PetscMemType, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar *, Mat *);

2702: PETSC_EXTERN PetscErrorCode MatSetHPL(Mat, int);
2703: #define PETSCBMHPL "hpl"

2705: PETSC_EXTERN PetscErrorCode MatDFischer(Mat, Vec, Vec, Vec, Vec, Vec, Vec, Vec, Vec);