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 give 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, void *, 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 MatDiagonalGetDiagonal(Mat, Vec *);
524: PETSC_EXTERN PetscErrorCode MatDiagonalRestoreDiagonal(Mat, Vec *);
525: PETSC_EXTERN PetscErrorCode MatDiagonalGetInverseDiagonal(Mat, Vec *);
526: PETSC_EXTERN PetscErrorCode MatDiagonalRestoreInverseDiagonal(Mat, Vec *);
527: PETSC_EXTERN PetscErrorCode MatConstantDiagonalGetConstant(Mat, PetscScalar *);
528: PETSC_EXTERN PetscErrorCode MatGetCurrentMemType(Mat, PetscMemType *);

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

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

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

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

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

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

567:    Level: beginner

569:    Notes:
570:    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).
571:    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.

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

575:    For staggered grids, see `DMStagStencil`

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

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

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

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

595:     Level: beginner

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

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

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

611:    Level: beginner

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

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

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

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

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

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

716: PETSC_EXTERN PetscErrorCode MatMult(Mat, Vec, Vec);
717: PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat, Vec, Vec);
718: PETSC_EXTERN PetscErrorCode MatMultAdd(Mat, Vec, Vec, Vec);
719: PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat, Vec, Vec);
720: PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat, Vec, Vec);
721: PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat, Mat, PetscReal, PetscBool *);
722: PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat, Mat, PetscReal, PetscBool *);
723: PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat, Vec, Vec, Vec);
724: PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat, Vec, Vec, Vec);
725: PETSC_EXTERN PetscErrorCode MatMatSolve(Mat, Mat, Mat);
726: PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat, Mat, Mat);
727: PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat, Mat, Mat);
728: PETSC_EXTERN PetscErrorCode MatResidual(Mat, Vec, Vec, Vec);

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

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

744:   Level: beginner

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

750: .seealso: [](ch_matrices), `Mat`, `MatDuplicate()`
751: E*/
752: typedef enum {
753:   MAT_DO_NOT_COPY_VALUES,
754:   MAT_COPY_VALUES,
755:   MAT_SHARE_NONZERO_PATTERN
756: } MatDuplicateOption;

758: PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
759: PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);

761: PETSC_EXTERN PetscErrorCode MatCopy(Mat, Mat, MatStructure);
762: PETSC_EXTERN PetscErrorCode MatView(Mat, PetscViewer);
763: PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat, PetscReal, PetscBool *);
764: PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat, PetscBool *);
765: PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat, PetscReal, PetscBool *);
766: PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat, PetscBool *, PetscBool *);
767: PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat, PetscBool *, PetscBool *);
768: PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat, PetscBool *, PetscBool *);
769: PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat, PetscBool *, PetscBool *);
770: PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat, PetscBool *, PetscInt *);
771: PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);

773: PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
774: PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
775: PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
776: PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);

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

781:    Level: intermediate

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

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

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

802:     Values:
803: +   `MAT_LOCAL`      - values for each MPI process part of the matrix
804: .   `MAT_GLOBAL_MAX` - maximum of each value over all MPI processes
805: -   `MAT_GLOBAL_SUM` - sum of each value over all MPI processes

807:     Level: beginner

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

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

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

864: PETSC_EXTERN PetscErrorCode MatGetSize(Mat, PetscInt *, PetscInt *);
865: PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat, PetscInt *, PetscInt *);
866: PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat, PetscInt *, PetscInt *);
867: PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat, const PetscInt **);
868: PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat, PetscInt *, PetscInt *);
869: PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat, const PetscInt **);
870: PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat, IS *, IS *);

872: PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
873: 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[])
874: {
875:   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
876: }
877: PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
878: 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[])
879: {
880:   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
881: }
882: PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
883: PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
884: PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
885: PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatrix()", ) static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat)
886: {
887:   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
888: }
889: PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
890: PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
891: PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
892: PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);

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

905: PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
906: PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat, PetscInt, IS[], PetscInt);
907: PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);

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

911: PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
912: PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);

914: PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
915: PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);

917: PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
918: PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);

920: PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
921: PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);

923: PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
924: PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);

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

938: PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
939: PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);

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

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

962:    Not Collective

964:    Input Parameters:
965: +  mat  - the matrix
966: .  i    - the row location of the entry
967: .  j    - the column location of the entry
968: .  va   - the value to insert
969: -  mode - either `INSERT_VALUES` or `ADD_VALUES`

971:    Level: beginner

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

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

979: .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `InsertMode`, `MatGetValue()`, `MatSetValues()`,
980:           `MatSetValueLocal()`, `MatSetValuesLocal()`
981: @*/
982: static inline PetscErrorCode MatSetValue(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
983: {
984:   return MatSetValues(mat, 1, &i, 1, &j, &va, mode);
985: }

987: /*@C
988:    MatGetValue - Gets a single value from a matrix

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

992:    Input Parameters:
993: +  mat - the matrix
994: .  row - the row location of the entry
995: -  col - the column location of the entry

997:    Output Parameter:
998: .  va - the value

1000:    Level: advanced

1002:    Notes:
1003:    The matrix must have been assembled with `MatAssemblyBegin()` and `MatAssemblyEnd()` before this call

1005:    For efficiency one should use `MatGetValues()` and get several values simultaneously.

1007:    See notes for `MatGetValues()`.

1009: .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `MatSetValue()`, `MatGetValuesLocal()`, `MatGetValues()`
1010: @*/
1011: static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
1012: {
1013:   return MatGetValues(mat, 1, &row, 1, &col, va);
1014: }

1016: /*@C
1017:    MatSetValueLocal - Inserts or adds a single value into a matrix, using a local numbering of the nodes.

1019:    Not Collective

1021:    Input Parameters:
1022: +  mat  - the matrix
1023: .  i    - the row location of the entry
1024: .  j    - the column location of the entry
1025: .  va   - the value to insert
1026: -  mode - either `INSERT_VALUES` or `ADD_VALUES`

1028:    Level: intermediate

1030:    Notes:
1031:    For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.

1033:    See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.

1035: .seealso: [](ch_matrices), `MatSetValue()`, `MatSetValuesLocal()`
1036: @*/
1037: static inline PetscErrorCode MatSetValueLocal(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
1038: {
1039:   return MatSetValuesLocal(mat, 1, &i, 1, &j, &va, mode);
1040: }

1042: /*MC
1043:    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
1044:    row in a matrix providing the data that one can use to correctly preallocate the matrix.

1046:    Synopsis:
1047: #include <petscmat.h>
1048:    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)

1050:    Collective

1052:    Input Parameters:
1053: +  comm  - the communicator that will share the eventually allocated matrix
1054: .  nrows - the number of LOCAL rows in the matrix
1055: -  ncols - the number of LOCAL columns in the matrix

1057:    Output Parameters:
1058: +  dnz - the array that will be passed to the matrix preallocation routines
1059: -  onz - the other array passed to the matrix preallocation routines

1061:    Level: deprecated (since v3.19)

1063:    Notes:
1064:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1065:    the use of this routine

1067:    This is a macro that handles its own error checking, it does not return an error code.

1069:    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines

1071:    Developer Note:
1072:    This is a MACRO, not a function, because it has a leading { that is closed by `PetscPreallocateFinalize()`.

1074: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1075:           `MatPreallocateSymmetricSetLocalBlock()`
1076: M*/
1077: #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
1078:   do { \
1079:     PetscInt              __nrows = (nrows), __ncols = (ncols), __rstart, __end = 0; \
1080:     PetscInt PETSC_UNUSED __start; \
1081:     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
1082:     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
1083:     __start = __end - __ncols; \
1084:     (void)__start; \
1085:     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
1086:   __rstart -= __nrows

1088: #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateBegin()", ) MatPreallocateBegin(__VA_ARGS__)

1090: /*MC
1091:    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1092:    inserted using a local number of the rows and columns

1094:    Synopsis:
1095: #include <petscmat.h>
1096:    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1098:    Not Collective

1100:    Input Parameters:
1101: +  map   - the row mapping from local numbering to global numbering
1102: .  nrows - the number of rows indicated
1103: .  rows  - the indices of the rows
1104: .  cmap  - the column mapping from local to global numbering
1105: .  ncols - the number of columns in the matrix
1106: .  cols  - the columns indicated
1107: .  dnz   - the array that will be passed to the matrix preallocation routines
1108: -  onz   - the other array passed to the matrix preallocation routines

1110:    Level: deprecated (since v3.19)

1112:    Notes:
1113:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1114:    the use of this routine

1116:    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines

1118: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1119:           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
1120: M*/
1121: #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1122:   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));)

1124: /*MC
1125:    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1126:    inserted using a local number of the rows and columns. This version removes any duplicate columns in cols

1128:    Synopsis:
1129: #include <petscmat.h>
1130:    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1132:    Not Collective

1134:    Input Parameters:
1135: +  map   - the row mapping from local numbering to global numbering
1136: .  nrows - the number of rows indicated
1137: .  rows  - the indices of the rows (these values are mapped to the global values)
1138: .  cmap  - the column mapping from local to global numbering
1139: .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1140: .  cols  - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1141: .  dnz   - the array that will be passed to the matrix preallocation routines
1142: -  onz   - the other array passed to the matrix preallocation routines

1144:    Level: deprecated (since v3.19)

1146:    Notes:
1147:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1148:    the use of this routine

1150:    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines

1152: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1153:           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1154: M*/
1155: #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1156:   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));)

1158: /*MC
1159:    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1160:    inserted using a local number of the rows and columns

1162:    Synopsis:
1163: #include <petscmat.h>
1164:    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1166:    Not Collective

1168:    Input Parameters:
1169: +  map   - the row mapping from local numbering to global numbering
1170: .  nrows - the number of rows indicated
1171: .  rows  - the indices of the rows
1172: .  cmap  - the column mapping from local to global numbering
1173: .  ncols - the number of columns in the matrix
1174: .  cols  - the columns indicated
1175: .  dnz   - the array that will be passed to the matrix preallocation routines
1176: -  onz   - the other array passed to the matrix preallocation routines

1178:    Level: deprecated (since v3.19)

1180:    Notes:
1181:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1182:    the use of this routine

1184:    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines

1186: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1187:           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1188: M*/
1189: #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1190:   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));)

1192: /*MC
1193:    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1194:    inserted using a local number of the rows and columns

1196:    Synopsis:
1197: #include <petscmat.h>
1198:    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1200:    Not Collective

1202:    Input Parameters:
1203: +  map   - the mapping between local numbering and global numbering
1204: .  nrows - the number of rows indicated
1205: .  rows  - the indices of the rows
1206: .  ncols - the number of columns in the matrix
1207: .  cols  - the columns indicated
1208: .  dnz   - the array that will be passed to the matrix preallocation routines
1209: -  onz   - the other array passed to the matrix preallocation routines

1211:    Level: deprecated (since v3.19)

1213:    Notes:
1214:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1215:    the use of this routine

1217:    Do not malloc or free `dnz` and `onz` that is handled internally by these routines

1219: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`
1220:           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1221: M*/
1222: #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1223:   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));)

1225: /*MC
1226:    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1227:    inserted using a local number of the rows and columns

1229:    Synopsis:
1230: #include <petscmat.h>
1231:    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1233:    Not Collective

1235:    Input Parameters:
1236: +  row   - the row
1237: .  ncols - the number of columns in the matrix
1238: -  cols  - the columns indicated

1240:    Output Parameters:
1241: +  dnz - the array that will be passed to the matrix preallocation routines
1242: -  onz - the other array passed to the matrix preallocation routines

1244:    Level: deprecated (since v3.19)

1246:    Notes:
1247:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1248:    the use of this routine

1250:    Do not malloc or free `dnz` and `onz` that is handled internally by these routines

1252:    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().

1254: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1255:           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1256: M*/
1257: #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1258:   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) { \
1259:     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1260:     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1261:   })

1263: /*MC
1264:    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1265:    inserted using a local number of the rows and columns

1267:    Synopsis:
1268: #include <petscmat.h>
1269:    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1271:    Not Collective

1273:    Input Parameters:
1274: +  nrows - the number of rows indicated
1275: .  rows  - the indices of the rows
1276: .  ncols - the number of columns in the matrix
1277: .  cols  - the columns indicated
1278: .  dnz   - the array that will be passed to the matrix preallocation routines
1279: -  onz   - the other array passed to the matrix preallocation routines

1281:    Level: deprecated (since v3.19)

1283:    Notes:
1284:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1285:    the use of this routine

1287:    Do not malloc or free `dnz` and `onz` that is handled internally by these routines

1289:    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().

1291: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1292:           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1293: M*/
1294: #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1295:   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
1296:     if (cols[__i] >= __end) onz[row - __rstart]++; \
1297:     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1298:   })

1300: /*MC
1301:    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists

1303:    Synopsis:
1304: #include <petscmat.h>
1305:    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)

1307:    Not Collective

1309:    Input Parameters:
1310: +  A     - matrix
1311: .  row   - row where values exist (must be local to this process)
1312: .  ncols - number of columns
1313: .  cols  - columns with nonzeros
1314: .  dnz   - the array that will be passed to the matrix preallocation routines
1315: -  onz   - the other array passed to the matrix preallocation routines

1317:    Level: deprecated (since v3.19)

1319:    Notes:
1320:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1321:    the use of this routine

1323:    Do not malloc or free `dnz` and `onz` that is handled internally by these routines

1325:    Developer Note:
1326:    This is a MACRO, not a function, because it uses a bunch of variables private to the MatPreallocation.... routines.

1328: .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1329:           `MatPreallocateSymmetricSetLocalBlock()`
1330: M*/
1331: #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))

1333: /*MC
1334:    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1335:    row in a matrix providing the data that one can use to correctly preallocate the matrix.

1337:    Synopsis:
1338: #include <petscmat.h>
1339:    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)

1341:    Collective

1343:    Input Parameters:
1344: +  dnz - the array that was be passed to the matrix preallocation routines
1345: -  onz - the other array passed to the matrix preallocation routines

1347:    Level: deprecated (since v3.19)

1349:    Notes:
1350:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1351:    the use of this routine

1353:    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines

1355:    Developer Note:
1356:    This is a MACRO, not a function, because it closes the { started in MatPreallocateBegin().

1358: .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1359:           `MatPreallocateSymmetricSetLocalBlock()`
1360: M*/
1361: #define MatPreallocateEnd(dnz, onz) \
1362:   PetscCall(PetscFree2(dnz, onz)); \
1363:   } \
1364:   while (0)

1366: #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateEnd()", ) MatPreallocateEnd(__VA_ARGS__)

1368: /* Routines unique to particular data structures */
1369: PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, void *);

1371: PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1372: PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);

1374: PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1375: PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1376: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1377: PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1378: PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1379: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscCount, PetscBool);

1381: #define MAT_SKIP_ALLOCATION -4

1383: PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1384: PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1385: PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1386: PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);

1388: PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1389: PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1390: PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1391: PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1392: PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1393: PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1394: PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1395: PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1396: PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1397: PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1398: PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1399: PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1400: PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1401: PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1402: PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);

1404: PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1405: PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1406: PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatDenseSetLDA()", ) static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
1407: {
1408:   return MatDenseSetLDA(A, lda);
1409: }
1410: PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);

1412: PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);

1414: PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1415: PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);

1417: PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1418: PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1419: /*
1420:   These routines are not usually accessed directly, rather solving is
1421:   done through the KSP and PC interfaces.
1422: */

1424: /*J
1425:    MatOrderingType - String with the name of a PETSc matrix ordering. These orderings are most commonly used
1426:    to reduce fill in sparse factorizations.

1428:    Level: beginner

1430:    Notes:
1431:    If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and instead the external factorization solver package called utilizes one
1432:    of its own.

1434:    There is no `MatOrdering` object, the ordering is obtained directly from the matrix with `MatGetOrdering()`

1436:    Developer Note:
1437:    This API should be converted to an API similar to those for `MatColoring` and `MatPartitioning`

1439: .seealso: [](ch_matrices), [](sec_graph), `MatGetFactor()`, `MatGetOrdering()`, `MatColoringType`, `MatPartitioningType`, `MatCoarsenType`, `MatCoarsenType`,
1440:           `PCFactorSetOrderingType()`
1441: J*/
1442: typedef const char *MatOrderingType;
1443: #define MATORDERINGNATURAL       "natural"
1444: #define MATORDERINGND            "nd"
1445: #define MATORDERING1WD           "1wd"
1446: #define MATORDERINGRCM           "rcm"
1447: #define MATORDERINGQMD           "qmd"
1448: #define MATORDERINGROWLENGTH     "rowlength"
1449: #define MATORDERINGWBM           "wbm"
1450: #define MATORDERINGSPECTRAL      "spectral"
1451: #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1452: #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1453: #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 */
1454: #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */

1456: PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1457: PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1458: PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1459: PETSC_EXTERN PetscFunctionList MatOrderingList;

1461: #include "petscmatcoarsen.h"

1463: PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1464: PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);

1466: PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);

1468: /*S
1469:    MatFactorShiftType - Type of numeric shift used for factorizations

1471:    Values:
1472: +  `MAT_SHIFT_NONE`              - do not shift the matrix diagonal entries
1473: .  `MAT_SHIFT_NONZERO`           - shift the entries to be non-zero
1474: .  `MAT_SHIFT_POSITIVE_DEFINITE` - shift the entries to force the factorization to be positive definite
1475: -  `MAT_SHIFT_INBLOCKS`          - only shift the factors inside the small dense diagonal blocks of the matrix, for example with `MATBAIJ`

1477:    Level: intermediate

1479: .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `PCFactorSetShiftType()`
1480: S*/
1481: typedef enum {
1482:   MAT_SHIFT_NONE,
1483:   MAT_SHIFT_NONZERO,
1484:   MAT_SHIFT_POSITIVE_DEFINITE,
1485:   MAT_SHIFT_INBLOCKS
1486: } MatFactorShiftType;
1487: PETSC_EXTERN const char *const MatFactorShiftTypes[];
1488: PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];

1490: /*S
1491:     MatFactorError - indicates what type of error was generated in a matrix factorization

1493:     Values:
1494: +   `MAT_FACTOR_NOERROR`           - there was no error during the factorization
1495: .   `MAT_FACTOR_STRUCT_ZEROPIVOT`  - there was a missing entry in a diagonal location of the matrix
1496: .   `MAT_FACTOR_NUMERIC_ZEROPIVOT` - there was a (near) zero pivot during the factorization
1497: .   `MAT_FACTOR_OUTMEMORY`         - the factorization has run out of memory
1498: -   `MAT_FACTOR_OTHER`             - some other error has occurred.

1500:     Level: intermediate

1502:     Note:
1503:     When a factorization is done in a preconditioner `PC` the error may be propagated up to a `PCFailedReason` or a `KSPConvergedReason`

1505: .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `MatFactorGetError()`, `MatFactorGetErrorZeroPivot()`, `MatFactorClearError()`,
1506:           `PCFailedReason`, `PCGetFailedReason()`, `KSPConvergedReason`
1507: S*/
1508: typedef enum {
1509:   MAT_FACTOR_NOERROR,
1510:   MAT_FACTOR_STRUCT_ZEROPIVOT,
1511:   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1512:   MAT_FACTOR_OUTMEMORY,
1513:   MAT_FACTOR_OTHER
1514: } MatFactorError;

1516: PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1517: PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1518: PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);

1520: /*S
1521:    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization

1523:    Level: developer

1525:    Note:
1526:    You can use `MatFactorInfoInitialize()` to set default values.

1528:    Fortran Note:
1529:    `MatFactorInfo` is a derived type, use e.g. `matfactorinfo%dt` to access its components.

1531: .seealso: [](ch_matrices), `Mat`, `MatInfo`, `MatGetFactor()`, `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`,
1532:           `MatICCFactorSymbolic()`, `MatICCFactor()`, `MatFactorInfoInitialize()`
1533: S*/
1534: typedef struct {
1535:   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1536:   PetscReal usedt;
1537:   PetscReal dt;            /* drop tolerance */
1538:   PetscReal dtcol;         /* tolerance for pivoting */
1539:   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1540:   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1541:   PetscReal levels;        /* ICC/ILU(levels) */
1542:   PetscReal pivotinblocks; /* BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0 factorization may be faster if do not pivot */
1543:   PetscReal zeropivot;     /* pivot is called zero if less than this */
1544:   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1545:   PetscReal shiftamount;   /* how large the shift is */
1546:   PetscBool factoronhost;  /* do factorization on host instead of device (for device matrix types) */
1547:   PetscBool solveonhost;   /* do mat solve on host with the factor (for device matrix types) */
1548: } MatFactorInfo;

1550: PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1551: PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1552: PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1553: PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1554: PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1555: PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1556: PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1557: PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1558: PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1559: PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1560: PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1561: PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1562: PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1563: PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1564: PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1565: PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1566: PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1567: PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1568: PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1569: PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1570: PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1571: PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1572: PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);

1574: typedef enum {
1575:   MAT_FACTOR_SCHUR_UNFACTORED,
1576:   MAT_FACTOR_SCHUR_FACTORED,
1577:   MAT_FACTOR_SCHUR_INVERTED
1578: } MatFactorSchurStatus;
1579: PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1580: PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1581: PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1582: PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1583: PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1584: PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1585: PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1586: PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);

1588: PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1589: /*E
1590:    MatSORType - What type of (S)SOR to perform

1592:    Values:
1593: +  `SOR_FORWARD_SWEEP`         - do a sweep from the first row of the matrix to the last
1594: .  `SOR_BACKWARD_SWEEP`        - do a sweep from the last row to the first
1595: .  `SOR_SYMMETRIC_SWEEP`       - do a sweep from the first row to the last and then back to the first
1596: .  `SOR_LOCAL_FORWARD_SWEEP`   - each MPI process does its own forward sweep with no communication
1597: .  `SOR_LOCAL_BACKWARD_SWEEP`  - each MPI process does its own backward sweep with no communication
1598: .  `SOR_LOCAL_SYMMETRIC_SWEEP` - each MPI process does its own symmetric sweep with no communication
1599: .  `SOR_ZERO_INITIAL_GUESS`    - indicates the initial solution is zero so the sweep can avoid unneeded computation
1600: .  `SOR_EISENSTAT`             - apply the Eisentat application of SOR, see `PCEISENSTAT`
1601: .  `SOR_APPLY_UPPER`           - multiply by the upper triangular portion of the matrix
1602: -  `SOR_APPLY_LOWER`           - multiply by the lower triangular portion of the matrix

1604:    Level: beginner

1606:    Note:
1607:    These may be bitwise ORd together

1609:    Developer Note:
1610:    Since `MatSORType` may be bitwise ORd together, so do not change the numerical values below

1612: .seealso: [](ch_matrices), `MatSOR()`
1613: E*/
1614: typedef enum {
1615:   SOR_FORWARD_SWEEP         = 1,
1616:   SOR_BACKWARD_SWEEP        = 2,
1617:   SOR_SYMMETRIC_SWEEP       = 3,
1618:   SOR_LOCAL_FORWARD_SWEEP   = 4,
1619:   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1620:   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1621:   SOR_ZERO_INITIAL_GUESS    = 16,
1622:   SOR_EISENSTAT             = 32,
1623:   SOR_APPLY_UPPER           = 64,
1624:   SOR_APPLY_LOWER           = 128
1625: } MatSORType;
1626: PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);

1628: /*S
1629:    MatColoring - Object for managing the coloring of matrices.

1631:    Level: beginner

1633:    Notes:
1634:    Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1635:    matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).

1637:    Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1638:    same object can also be used to efficiently convert data created by Automatic Differentiation tools to PETSc sparse matrices.

1640: .seealso: [](ch_matrices), [](sec_graph), `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`,
1641:           `MatPartitioning`, `MatColoringType`, `MatPartitioningType`, `MatOrderingType`, `MatColoringSetWeightType()`,
1642:           `MatColoringSetWeights()`, `MatCoarsenType`, `MatCoarsen`
1643: S*/
1644: typedef struct _p_MatColoring *MatColoring;

1646: /*J
1647:    MatColoringType - String with the name of a PETSc matrix coloring

1649:    Level: beginner

1651: .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatFDColoringCreate()`, `MatColoringSetType()`, `MatColoring`
1652: J*/
1653: typedef const char *MatColoringType;
1654: #define MATCOLORINGJP      "jp"
1655: #define MATCOLORINGPOWER   "power"
1656: #define MATCOLORINGNATURAL "natural"
1657: #define MATCOLORINGSL      "sl"
1658: #define MATCOLORINGLF      "lf"
1659: #define MATCOLORINGID      "id"
1660: #define MATCOLORINGGREEDY  "greedy"

1662: /*E
1663:    MatColoringWeightType - Type of weight scheme used for the coloring algorithm

1665:    Values:
1666: +  `MAT_COLORING_RANDOM`  - Random weights
1667: .  `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1668: -  `MAT_COLORING_LF`      - Last-first weighting.

1670:     Level: intermediate

1672: .seealso: [](ch_matrices), `MatColoring`, `MatColoringCreate()`, `MatColoringSetWeightType()`, `MatColoringSetWeights()`
1673: E*/
1674: typedef enum {
1675:   MAT_COLORING_WEIGHT_RANDOM,
1676:   MAT_COLORING_WEIGHT_LEXICAL,
1677:   MAT_COLORING_WEIGHT_LF,
1678:   MAT_COLORING_WEIGHT_SL
1679: } MatColoringWeightType;

1681: PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1682: PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1683: PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1684: PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1685: PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1686: PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1687: PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1688: PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1689: PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1690: PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1691: PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1692: PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1693: PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1694: PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1695: PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1696: PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1697: PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1698: PETSC_DEPRECATED_FUNCTION(3, 10, 0, "MatColoringTest()", ) static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
1699: {
1700:   return MatColoringTest(matcoloring, iscoloring);
1701: }
1702: PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);

1704: /*S
1705:    MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring

1707:    Level: beginner

1709:    Options Database Key:
1710: .  -snes_fd_coloring - cause the Jacobian needed by `SNES` to be computed via a use of this object

1712:    Note:
1713:    This object is created utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`

1715: .seealso: [](ch_matrices), `Mat`, `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1716: S*/
1717: typedef struct _p_MatFDColoring *MatFDColoring;

1719: /*S
1720:   MatFDColoringFn - Function provided to `MatFDColoringSetFunction()` that computes the function being differenced

1722:   Level: advanced

1724:   Calling Sequence:
1725: + snes - either a `SNES` object if used within `SNES` otherwise an unused parameter
1726: . in   - the location where the Jacobian is to be computed
1727: . out  - the location to put the computed function value
1728: - fctx - the function context passed into `MatFDColoringSetFunction()`

1730: .seealso: [](ch_matrices), `Mat`, `MatCreateMFFD()`, `MatMFFDSetFunction()`, `MatMFFDiFn`, `MatMFFDiBaseFn`
1731: S*/
1732: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatFDColoringFn(void *snes, Vec x, Vec y, void *fctx);

1734: PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1735: PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1736: PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1737: PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, MatFDColoringFn *, void *);
1738: PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, MatFDColoringFn **, void **);
1739: PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1740: PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1741: PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1742: PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1743: PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1744: PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1745: PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1746: PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);

1748: /*S
1749:    MatTransposeColoring - Object for computing a sparse matrix product $C = A*B^T$ via coloring

1751:    Level: developer

1753: .seealso: [](ch_matrices), `Mat`, `MatProductType`, `MatTransposeColoringCreate()`
1754: S*/
1755: typedef struct _p_MatTransposeColoring *MatTransposeColoring;

1757: PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1758: PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1759: PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1760: PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);

1762: /*S
1763:    MatPartitioning - Object for managing the partitioning of a matrix or graph

1765:    Level: beginner

1767:    Note:
1768:    There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1769:    via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)

1771:    Developer Note:
1772:    It is an extra maintenance and documentation cost to have two objects with the same functionality. `PetscPartitioner` should be removed

1774: .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`, `MatOrderingType`,
1775:           `MatCoarsenType`, `MatCoarsenType`
1776: S*/
1777: typedef struct _p_MatPartitioning *MatPartitioning;

1779: /*J
1780:     MatPartitioningType - String with the name of a PETSc matrix partitioning

1782:    Level: beginner
1783: dm
1784: .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`, `MatColoringType`, `MatOrderingType`,
1785:           `MatCoarsenType`, `MatCoarsenType`
1786: J*/
1787: typedef const char *MatPartitioningType;
1788: #define MATPARTITIONINGCURRENT  "current"
1789: #define MATPARTITIONINGAVERAGE  "average"
1790: #define MATPARTITIONINGSQUARE   "square"
1791: #define MATPARTITIONINGPARMETIS "parmetis"
1792: #define MATPARTITIONINGCHACO    "chaco"
1793: #define MATPARTITIONINGPARTY    "party"
1794: #define MATPARTITIONINGPTSCOTCH "ptscotch"
1795: #define MATPARTITIONINGHIERARCH "hierarch"

1797: PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1798: PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1799: PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1800: PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1801: PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1802: PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1803: PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1804: PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1805: PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1806: PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1807: PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1808: PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1809: PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1810: PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1811: PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1812: PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1813: PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1814: PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1815: PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);

1817: PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning);
1818: PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1819: PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);

1821: typedef enum {
1822:   MP_CHACO_MULTILEVEL = 1,
1823:   MP_CHACO_SPECTRAL   = 2,
1824:   MP_CHACO_LINEAR     = 4,
1825:   MP_CHACO_RANDOM     = 5,
1826:   MP_CHACO_SCATTERED  = 6
1827: } MPChacoGlobalType;
1828: PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1829: typedef enum {
1830:   MP_CHACO_KERNIGHAN = 1,
1831:   MP_CHACO_NONE      = 2
1832: } MPChacoLocalType;
1833: PETSC_EXTERN const char *const MPChacoLocalTypes[];
1834: typedef enum {
1835:   MP_CHACO_LANCZOS = 0,
1836:   MP_CHACO_RQI     = 1
1837: } MPChacoEigenType;
1838: PETSC_EXTERN const char *const MPChacoEigenTypes[];

1840: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1841: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1842: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1843: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1844: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1845: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1846: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1847: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1848: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1849: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1850: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);

1852: #define MP_PARTY_OPT "opt"
1853: #define MP_PARTY_LIN "lin"
1854: #define MP_PARTY_SCA "sca"
1855: #define MP_PARTY_RAN "ran"
1856: #define MP_PARTY_GBF "gbf"
1857: #define MP_PARTY_GCF "gcf"
1858: #define MP_PARTY_BUB "bub"
1859: #define MP_PARTY_DEF "def"
1860: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1861: #define MP_PARTY_HELPFUL_SETS  "hs"
1862: #define MP_PARTY_KERNIGHAN_LIN "kl"
1863: #define MP_PARTY_NONE          "no"
1864: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1865: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1866: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1867: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);

1869: typedef enum {
1870:   MP_PTSCOTCH_DEFAULT,
1871:   MP_PTSCOTCH_QUALITY,
1872:   MP_PTSCOTCH_SPEED,
1873:   MP_PTSCOTCH_BALANCE,
1874:   MP_PTSCOTCH_SAFETY,
1875:   MP_PTSCOTCH_SCALABILITY
1876: } MPPTScotchStrategyType;
1877: PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];

1879: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1880: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1881: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1882: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);

1884: /*
1885:  * hierarchical partitioning
1886:  */
1887: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1888: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1889: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1890: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);

1892: PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);

1894: /*
1895:     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/petsc4py/PETSc/libpetsc4py.pyx
1896: */
1897: typedef enum {
1898:   MATOP_SET_VALUES                = 0,
1899:   MATOP_GET_ROW                   = 1,
1900:   MATOP_RESTORE_ROW               = 2,
1901:   MATOP_MULT                      = 3,
1902:   MATOP_MULT_ADD                  = 4,
1903:   MATOP_MULT_TRANSPOSE            = 5,
1904:   MATOP_MULT_TRANSPOSE_ADD        = 6,
1905:   MATOP_SOLVE                     = 7,
1906:   MATOP_SOLVE_ADD                 = 8,
1907:   MATOP_SOLVE_TRANSPOSE           = 9,
1908:   MATOP_SOLVE_TRANSPOSE_ADD       = 10,
1909:   MATOP_LUFACTOR                  = 11,
1910:   MATOP_CHOLESKYFACTOR            = 12,
1911:   MATOP_SOR                       = 13,
1912:   MATOP_TRANSPOSE                 = 14,
1913:   MATOP_GETINFO                   = 15,
1914:   MATOP_EQUAL                     = 16,
1915:   MATOP_GET_DIAGONAL              = 17,
1916:   MATOP_DIAGONAL_SCALE            = 18,
1917:   MATOP_NORM                      = 19,
1918:   MATOP_ASSEMBLY_BEGIN            = 20,
1919:   MATOP_ASSEMBLY_END              = 21,
1920:   MATOP_SET_OPTION                = 22,
1921:   MATOP_ZERO_ENTRIES              = 23,
1922:   MATOP_ZERO_ROWS                 = 24,
1923:   MATOP_LUFACTOR_SYMBOLIC         = 25,
1924:   MATOP_LUFACTOR_NUMERIC          = 26,
1925:   MATOP_CHOLESKY_FACTOR_SYMBOLIC  = 27,
1926:   MATOP_CHOLESKY_FACTOR_NUMERIC   = 28,
1927:   MATOP_SETUP                     = 29,
1928:   MATOP_ILUFACTOR_SYMBOLIC        = 30,
1929:   MATOP_ICCFACTOR_SYMBOLIC        = 31,
1930:   MATOP_GET_DIAGONAL_BLOCK        = 32,
1931:   MATOP_SET_INF                   = 33,
1932:   MATOP_DUPLICATE                 = 34,
1933:   MATOP_FORWARD_SOLVE             = 35,
1934:   MATOP_BACKWARD_SOLVE            = 36,
1935:   MATOP_ILUFACTOR                 = 37,
1936:   MATOP_ICCFACTOR                 = 38,
1937:   MATOP_AXPY                      = 39,
1938:   MATOP_CREATE_SUBMATRICES        = 40,
1939:   MATOP_INCREASE_OVERLAP          = 41,
1940:   MATOP_GET_VALUES                = 42,
1941:   MATOP_COPY                      = 43,
1942:   MATOP_GET_ROW_MAX               = 44,
1943:   MATOP_SCALE                     = 45,
1944:   MATOP_SHIFT                     = 46,
1945:   MATOP_DIAGONAL_SET              = 47,
1946:   MATOP_ZERO_ROWS_COLUMNS         = 48,
1947:   MATOP_SET_RANDOM                = 49,
1948:   MATOP_GET_ROW_IJ                = 50,
1949:   MATOP_RESTORE_ROW_IJ            = 51,
1950:   MATOP_GET_COLUMN_IJ             = 52,
1951:   MATOP_RESTORE_COLUMN_IJ         = 53,
1952:   MATOP_FDCOLORING_CREATE         = 54,
1953:   MATOP_COLORING_PATCH            = 55,
1954:   MATOP_SET_UNFACTORED            = 56,
1955:   MATOP_PERMUTE                   = 57,
1956:   MATOP_SET_VALUES_BLOCKED        = 58,
1957:   MATOP_CREATE_SUBMATRIX          = 59,
1958:   MATOP_DESTROY                   = 60,
1959:   MATOP_VIEW                      = 61,
1960:   MATOP_CONVERT_FROM              = 62,
1961:   MATOP_MATMAT_MULT_SYMBOLIC      = 63,
1962:   MATOP_MATMAT_MULT_NUMERIC       = 64,
1963:   MATOP_SET_LOCAL_TO_GLOBAL_MAP   = 65,
1964:   MATOP_SET_VALUES_LOCAL          = 66,
1965:   MATOP_ZERO_ROWS_LOCAL           = 67,
1966:   MATOP_GET_ROW_MAX_ABS           = 68,
1967:   MATOP_GET_ROW_MIN_ABS           = 69,
1968:   MATOP_CONVERT                   = 70,
1969:   MATOP_HAS_OPERATION             = 71,
1970:   MATOP_FD_COLORING_APPLY         = 72,
1971:   MATOP_SET_FROM_OPTIONS          = 73,
1972:   MATOP_FIND_ZERO_DIAGONALS       = 74,
1973:   MATOP_MULT_MULTIPLE             = 75,
1974:   MATOP_SOLVE_MULTIPLE            = 76,
1975:   MATOP_GET_INERTIA               = 77,
1976:   MATOP_LOAD                      = 78,
1977:   MATOP_IS_SYMMETRIC              = 79,
1978:   MATOP_IS_HERMITIAN              = 80,
1979:   MATOP_IS_STRUCTURALLY_SYMMETRIC = 81,
1980:   MATOP_SET_VALUES_BLOCKEDLOCAL   = 82,
1981:   MATOP_CREATE_VECS               = 83,
1982:   MATOP_MAT_MULT_SYMBOLIC         = 84,
1983:   MATOP_MAT_MULT_NUMERIC          = 85,
1984:   MATOP_PTAP_NUMERIC              = 86,
1985:   MATOP_MAT_TRANSPOSE_MULT_SYMBO  = 87,
1986:   MATOP_MAT_TRANSPOSE_MULT_NUMER  = 88,
1987:   MATOP_BIND_TO_CPU               = 89,
1988:   MATOP_PRODUCTSETFROMOPTIONS     = 90,
1989:   MATOP_PRODUCTSYMBOLIC           = 91,
1990:   MATOP_PRODUCTNUMERIC            = 92,
1991:   MATOP_CONJUGATE                 = 93,
1992:   MATOP_VIEW_NATIVE               = 94,
1993:   MATOP_SET_VALUES_ROW            = 95,
1994:   MATOP_REAL_PART                 = 96,
1995:   MATOP_IMAGINARY_PART            = 97,
1996:   MATOP_GET_ROW_UPPER_TRIANGULAR  = 98,
1997:   MATOP_RESTORE_ROW_UPPER_TRIANG  = 99,
1998:   MATOP_MAT_SOLVE                 = 100,
1999:   MATOP_MAT_SOLVE_TRANSPOSE       = 101,
2000:   MATOP_GET_ROW_MIN               = 102,
2001:   MATOP_GET_COLUMN_VECTOR         = 103,
2002:   MATOP_MISSING_DIAGONAL          = 104,
2003:   MATOP_GET_SEQ_NONZERO_STRUCTUR  = 105,
2004:   MATOP_CREATE                    = 106,
2005:   MATOP_GET_GHOSTS                = 107,
2006:   MATOP_GET_LOCAL_SUB_MATRIX      = 108,
2007:   MATOP_RESTORE_LOCALSUB_MATRIX   = 109,
2008:   MATOP_MULT_DIAGONAL_BLOCK       = 110,
2009:   MATOP_HERMITIAN_TRANSPOSE       = 111,
2010:   MATOP_MULT_HERMITIAN_TRANSPOSE  = 112,
2011:   MATOP_MULT_HERMITIAN_TRANS_ADD  = 113,
2012:   MATOP_GET_MULTI_PROC_BLOCK      = 114,
2013:   MATOP_FIND_NONZERO_ROWS         = 115,
2014:   MATOP_GET_COLUMN_NORMS          = 116,
2015:   MATOP_INVERT_BLOCK_DIAGONAL     = 117,
2016:   MATOP_INVERT_VBLOCK_DIAGONAL    = 118,
2017:   MATOP_CREATE_SUB_MATRICES_MPI   = 119,
2018:   MATOP_SET_VALUES_BATCH          = 120,
2019:   MATOP_TRANSPOSE_MAT_MULT_SYMBO  = 121,
2020:   MATOP_TRANSPOSE_MAT_MULT_NUMER  = 122,
2021:   MATOP_TRANSPOSE_COLORING_CREAT  = 123,
2022:   MATOP_TRANS_COLORING_APPLY_SPT  = 124,
2023:   MATOP_TRANS_COLORING_APPLY_DEN  = 125,
2024:   MATOP_RART_NUMERIC              = 126,
2025:   MATOP_SET_BLOCK_SIZES           = 127,
2026:   MATOP_RESIDUAL                  = 128,
2027:   MATOP_FDCOLORING_SETUP          = 129,
2028:   MATOP_FIND_OFFBLOCK_ENTRIES     = 130,
2029:   MATOP_MPICONCATENATESEQ         = 131,
2030:   MATOP_DESTROYSUBMATRICES        = 132,
2031:   MATOP_MAT_TRANSPOSE_SOLVE       = 133,
2032:   MATOP_GET_VALUES_LOCAL          = 134,
2033:   MATOP_CREATE_GRAPH              = 135,
2034:   MATOP_TRANSPOSE_SYMBOLIC        = 136,
2035:   MATOP_ELIMINATE_ZEROS           = 137,
2036:   MATOP_GET_ROW_SUM_ABS           = 138,
2037:   MATOP_GET_FACTOR                = 139,
2038:   MATOP_GET_BLOCK_DIAGONAL        = 140, /* NOTE: caller of the two op functions owns the returned matrix */
2039:   MATOP_GET_VBLOCK_DIAGONAL       = 141, /* and need to destroy it after use. */
2040:   MATOP_COPY_HASH_TO_XAIJ         = 142,
2041:   MATOP_GET_CURRENT_MEM_TYPE      = 143
2042: } MatOperation;
2043: PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, void (*)(void));
2044: PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, void (**)(void));
2045: PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
2046: PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
2047: PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatProductClear()", ) static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
2048: {
2049:   return MatProductClear(A);
2050: }
2051: PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, void (*)(void));
2052: PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, void (**)(void));
2053: PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, void *);
2054: PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscCtxDestroyFn *);
2055: PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
2056: PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2057: PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2058: PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
2059: PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscErrorCode (*)(void *), MatType, MatType);
2060: PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);

2062: /*
2063:    Codes for matrices stored on disk. By default they are
2064:    stored in a universal format. By changing the format with
2065:    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
2066:    be stored in a way natural for the matrix, for example dense matrices
2067:    would be stored as dense. Matrices stored this way may only be
2068:    read into matrices of the same type.
2069: */
2070: #define MATRIX_BINARY_FORMAT_DENSE -1

2072: PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);

2074: PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
2075: PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
2076: PETSC_EXTERN PetscErrorCode MatISSetAllowRepeated(Mat, PetscBool);
2077: PETSC_EXTERN PetscErrorCode MatISGetAllowRepeated(Mat, PetscBool *);
2078: PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
2079: PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
2080: PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
2081: PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
2082: PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
2083: PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);

2085: /*S
2086:    MatNullSpace - Object that removes a null space from a vector, i.e.
2087:                   orthogonalizes the vector to a subspace

2089:    Level: advanced

2091: .seealso: [](ch_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2092: S*/
2093: typedef struct _p_MatNullSpace *MatNullSpace;

2095: /*S
2096:   MatNullSpaceRemoveFn - Function provided to `MatNullSpaceSetFunction()` that removes the null space from a vector

2098:   Level: advanced

2100:   Calling Sequence:
2101: + nsp - the `MatNullSpace` object
2102: . x   - the vector from which to remove the null space
2103: - ctx - [optional] user-defined function context provided with `MatNullSpaceSetFunction()`

2105: .seealso: [](ch_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2106: S*/
2107: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatNullSpaceRemoveFn(MatNullSpace nsp, Vec x, void *ctx);

2109: PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
2110: PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, MatNullSpaceRemoveFn *, void *);
2111: PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
2112: PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
2113: PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
2114: PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
2115: PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
2116: PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
2117: PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
2118: PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
2119: PETSC_EXTERN PetscErrorCode MatGetNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2120: PETSC_EXTERN PetscErrorCode MatRestoreNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2121: PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
2122: PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
2123: PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
2124: PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);

2126: PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
2127: PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
2128: PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);

2130: PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
2131: PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
2132: PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);

2134: PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
2135: PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);

2137: PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperator()", ) static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
2138: {
2139:   return MatComputeOperator(A, PETSC_NULLPTR, B);
2140: }
2141: PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperatorTranspose()", ) static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
2142: {
2143:   return MatComputeOperatorTranspose(A, PETSC_NULLPTR, B);
2144: }

2146: PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
2147: PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
2148: PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
2149: PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2150: PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
2151: PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
2152: PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
2153: PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2154: PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
2155: PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
2156: PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
2157: PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
2158: PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
2159: PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);

2161: PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);

2163: PETSC_EXTERN PetscErrorCode MatMFFDInitializePackage(void);
2164: PETSC_EXTERN PetscErrorCode MatMFFDFinalizePackage(void);

2166: /*S
2167:   MatMFFDFn - Function provided to `MatMFFDSetFunction()` that computes the function being differenced

2169:   Level: advanced

2171:   Calling Sequence:
2172: + ctx - [optional] user-defined function context provided with `MatMFFDSetFunction()`
2173: . x   - input vector
2174: - y   - output vector

2176: .seealso: [](ch_matrices), `Mat`, `MatCreateMFFD()`, `MatMFFDSetFunction()`, `MatMFFDiFn`, `MatMFFDiBaseFn`
2177: S*/
2178: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatMFFDFn(void *ctx, Vec x, Vec y);

2180: /*S
2181:   MatMFFDiFn - Function provided to `MatMFFDSetFunctioni()` that computes the function being differenced at a single point

2183:   Level: advanced

2185:   Calling Sequence:
2186: + ctx    - [optional] user-defined function context provided with `MatMFFDSetFunction()`
2187: . i      - the component of the vector to compute
2188: . x      - input vector
2189: - result - the value of the function at that component (output)

2191: .seealso: [](ch_matrices), `Mat`, `MatCreateMFFD()`, `MatMFFDSetFunction()`, `MatMFFDFn`, `MatMFFDiBaseFn`
2192: S*/
2193: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatMFFDiFn(void *ctx, PetscInt i, Vec x, PetscScalar *result);

2195: /*S
2196:   MatMFFDiBaseFn - Function provided to `MatMFFDSetFunctioniBase()` that computes the base of the function evaluations
2197:   that will be used for differencing

2199:   Level: advanced

2201:   Calling Sequence:
2202: + ctx - [optional] user-defined function context provided with `MatMFFDSetFunction()`
2203: - x   - input base vector

2205: .seealso: [](ch_matrices), `Mat`, `MatCreateMFFD()`, `MatMFFDSetFunction()`, `MatMFFDSetFunctioniBase()`, `MatMFFDFn`, `MatMFFDiFn`
2206: S*/
2207: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatMFFDiBaseFn(void *ctx, Vec x);

2209: /*S
2210:   MatMFFDCheckhFn - Function provided to `MatMFFDSetCheckh()` that checks and possibly adjusts the value of `h` to ensure some property.
2211:   that will be used for differencing

2213:   Level: advanced

2215:   Calling Sequence:
2216: + ctx - [optional] user-defined function context provided with `MatMFFDSetCheckh()`
2217: . x   - input base vector
2218: . y   - input step vector that the product is computed with
2219: - h   - input tentative step, output possibly adjusted step

2221:   Note:
2222:   `MatMFFDCheckPositivity()` is one such function

2224: .seealso: [](ch_matrices), `Mat`, `MatCreateMFFD()`,  `MatMFFDSetCheckh()`, `MatMFFDCheckPositivity()`
2225: S*/
2226: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatMFFDCheckhFn(void *ctx, Vec x, Vec y, PetscScalar *h);

2228: PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2229: PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
2230: PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, MatMFFDFn *, void *);
2231: PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, MatMFFDiFn *);
2232: PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, MatMFFDiBaseFn *);
2233: PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
2234: PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
2235: PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
2236: PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
2237: PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
2238: PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
2239: PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
2240: PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, MatMFFDCheckhFn *, void *);

2242: /*S
2243:     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2244:               Jacobian vector products

2246:     Level: developer

2248:     Notes:
2249:     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure

2251:      MatMFFD*() methods actually take the `Mat` as their first argument. Not a `MatMFFD` data structure

2253:     This functionality is often obtained using `MatCreateSNESMF()` or with `SNES` solvers using `-snes_mf` or `-snes_mf_operator`

2255: .seealso: [](ch_matrices), `MatMFFDType`, `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`,
2256:           `MatCreateSNESMF()`, `SNES`, `-snes_mf`, `-snes_mf_operator`
2257: S*/
2258: typedef struct _p_MatMFFD *MatMFFD;

2260: /*J
2261:    MatMFFDType - algorithm used to compute the `h` used in computing matrix-vector products via differencing of a function

2263:    Values:
2264: +   `MATMFFD_DS` - an algorithm described by Dennis and Schnabel {cite}`dennis:83`
2265: -   `MATMFFD_WP` - the Walker-Pernice {cite}`pw98` strategy.

2267:    Level: beginner

2269: .seealso: [](ch_matrices), `MatMFFDSetType()`, `MatMFFDRegister()`, `MatMFFDSetFunction()`, `MatCreateMFFD()`
2270: J*/
2271: typedef const char *MatMFFDType;
2272: #define MATMFFD_DS "ds"
2273: #define MATMFFD_WP "wp"

2275: PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2276: PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));

2278: PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2279: PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);

2281: PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);

2283: PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2284: PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);

2286: #ifdef PETSC_HAVE_H2OPUS
2287: PETSC_EXTERN_TYPEDEF typedef PetscScalar(MatH2OpusKernelFn)(PetscInt, PetscReal[], PetscReal[], void *);
2288: PETSC_EXTERN_TYPEDEF typedef MatH2OpusKernelFn *MatH2OpusKernel;

2290: PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernelFn *, void *, PetscReal, PetscInt, PetscInt, Mat *);
2291: PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2292: PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2293: PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
2294: PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat, PetscReal);
2295: PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat, PetscBool);
2296: PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat, PetscBool *);
2297: PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat, IS *);
2298: PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2299: PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2300: #endif

2302: #ifdef PETSC_HAVE_HTOOL
2303: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode    MatHtoolKernelFn(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2304: PETSC_EXTERN_TYPEDEF typedef MatHtoolKernelFn *MatHtoolKernel;

2306: PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernelFn *, void *, Mat *);
2307: PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat, MatHtoolKernelFn *, void *);
2308: PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat, IS *);
2309: PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat, IS *);
2310: PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat, PetscBool);

2312: /*E
2313:    MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`

2315:    Values:
2316: +  `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2317: .  `MAT_HTOOL_COMPRESSOR_FULL_ACA`                 - full adaptive cross approximation
2318: -  `MAT_HTOOL_COMPRESSOR_SVD`                      - singular value decomposition

2320:    Level: intermediate

2322: .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2323: E*/
2324: typedef enum {
2325:   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2326:   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2327:   MAT_HTOOL_COMPRESSOR_SVD
2328: } MatHtoolCompressorType;

2330: /*E
2331:    MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`

2333:    Values:
2334: +  `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default)    - axis computed via principle component analysis, split uniformly
2335: .  `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC`            - axis computed via principle component analysis, split barycentrically
2336: .  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR`   - axis along the largest extent of the bounding box, split uniformly
2337: -  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically

2339:    Level: intermediate

2341:    Note:
2342:    Higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types

2344: .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2345: E*/
2346: typedef enum {
2347:   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2348:   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2349:   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2350:   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2351: } MatHtoolClusteringType;
2352: #endif

2354: #ifdef PETSC_HAVE_MUMPS
2355: PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2356: PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2357: PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2358: PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);

2360: PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2361: PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2362: PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2363: PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2364: PETSC_EXTERN PetscErrorCode MatMumpsGetNullPivots(Mat, PetscInt *, PetscInt **);
2365: PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2366: PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2367: PETSC_EXTERN PetscErrorCode MatMumpsSetBlk(Mat, PetscInt, const PetscInt[], const PetscInt[]);
2368: #else
2369: static inline PetscErrorCode MatMumpsSetIcntl(PETSC_UNUSED Mat F, PETSC_UNUSED PetscInt icntl, PETSC_UNUSED PetscInt ival)
2370: {
2371:   return PETSC_SUCCESS;
2372: }
2373: static inline PetscErrorCode MatMumpsSetCntl(PETSC_UNUSED Mat F, PETSC_UNUSED PetscInt icntl, PETSC_UNUSED PetscReal val)
2374: {
2375:   return PETSC_SUCCESS;
2376: }
2377: #endif

2379: #ifdef PETSC_HAVE_MKL_PARDISO
2380: PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2381: #endif

2383: #ifdef PETSC_HAVE_MKL_CPARDISO
2384: PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2385: #endif

2387: #ifdef PETSC_HAVE_SUPERLU
2388: PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2389: #endif

2391: #ifdef PETSC_HAVE_SUPERLU_DIST
2392: PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2393: #endif

2395: #ifdef PETSC_HAVE_STRUMPACK
2396: /*E
2397:     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `MATSOLVERSTRUMPACK`

2399:     Values:
2400: +  `MAT_STRUMPACK_NATURAL`   - use the current ordering
2401: .  `MAT_STRUMPACK_METIS`     - use MeTis to compute an ordering
2402: .  `MAT_STRUMPACK_PARMETIS`  - use ParMeTis to compute an ordering
2403: .  `MAT_STRUMPACK_SCOTCH`    - use Scotch to compute an ordering
2404: .  `MAT_STRUMPACK_PTSCOTCH`  - use parallel Scotch to compute an ordering
2405: .  `MAT_STRUMPACK_RCM`       - use an RCM ordering
2406: .  `MAT_STRUMPACK_GEOMETRIC` - use a geometric ordering (needs mesh info from user)
2407: .  `MAT_STRUMPACK_AMD`       - approximate minimum degree
2408: .  `MAT_STRUMPACK_MMD`       - multiple minimum degree
2409: .  `MAT_STRUMPACK_AND`       - approximate nested dissection
2410: .  `MAT_STRUMPACK_MLF`       - minimum local fill
2411: -  `MAT_STRUMPACK_SPECTRAL`  - spectral nested dissection

2413:     Level: intermediate

2415:     Developer Note:
2416:     Should be called `MatSTRUMPACKReorderingType`

2418: .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetReordering()`
2419: E*/
2420: typedef enum {
2421:   MAT_STRUMPACK_NATURAL,
2422:   MAT_STRUMPACK_METIS,
2423:   MAT_STRUMPACK_PARMETIS,
2424:   MAT_STRUMPACK_SCOTCH,
2425:   MAT_STRUMPACK_PTSCOTCH,
2426:   MAT_STRUMPACK_RCM,
2427:   MAT_STRUMPACK_GEOMETRIC,
2428:   MAT_STRUMPACK_AMD,
2429:   MAT_STRUMPACK_MMD,
2430:   MAT_STRUMPACK_AND,
2431:   MAT_STRUMPACK_MLF,
2432:   MAT_STRUMPACK_SPECTRAL
2433: } MatSTRUMPACKReordering;

2435: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2436: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetReordering(Mat, MatSTRUMPACKReordering *);
2437: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricNxyz(Mat, PetscInt, PetscInt, PetscInt);
2438: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricComponents(Mat, PetscInt);
2439: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricWidth(Mat, PetscInt);
2440: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2441: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetColPerm(Mat, PetscBool *);
2442: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGPU(Mat, PetscBool);
2443: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetGPU(Mat, PetscBool *);

2445: /*E
2446:     MatSTRUMPACKCompressionType - Compression used in the approximate sparse factorization solver `MATSOLVERSTRUMPACK`

2448:     Values:
2449: +  `MAT_STRUMPACK_COMPRESSION_TYPE_NONE`          - no compression, direct solver
2450: .  `MAT_STRUMPACK_COMPRESSION_TYPE_HSS`           - hierarchically semi-separable
2451: .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR`           - block low rank
2452: .  `MAT_STRUMPACK_COMPRESSION_TYPE_HODLR`         - hierarchically off-diagonal low rank (requires ButterfyPACK support, configure with --download-butterflypack)
2453: .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR`     - hybrid of BLR and HODLR (requires ButterfyPACK support, configure with --download-butterflypack)
2454: .  `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)
2455: .  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS`      - lossless compression (requires ZFP support, configure with --download-zfp)
2456: -  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY`         - lossy compression (requires ZFP support, configure with --download-zfp)

2458:     Level: intermediate

2460: .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetCompression()`
2461: E*/
2462: typedef enum {
2463:   MAT_STRUMPACK_COMPRESSION_TYPE_NONE,
2464:   MAT_STRUMPACK_COMPRESSION_TYPE_HSS,
2465:   MAT_STRUMPACK_COMPRESSION_TYPE_BLR,
2466:   MAT_STRUMPACK_COMPRESSION_TYPE_HODLR,
2467:   MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR,
2468:   MAT_STRUMPACK_COMPRESSION_TYPE_ZFP_BLR_HODLR,
2469:   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS,
2470:   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY
2471: } MatSTRUMPACKCompressionType;

2473: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompression(Mat, MatSTRUMPACKCompressionType);
2474: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompression(Mat, MatSTRUMPACKCompressionType *);
2475: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompRelTol(Mat, PetscReal);
2476: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompRelTol(Mat, PetscReal *);
2477: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompAbsTol(Mat, PetscReal);
2478: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompAbsTol(Mat, PetscReal *);
2479: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompMinSepSize(Mat, PetscInt);
2480: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompMinSepSize(Mat, PetscInt *);
2481: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLeafSize(Mat, PetscInt);
2482: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLeafSize(Mat, PetscInt *);
2483: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLossyPrecision(Mat, PetscInt);
2484: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLossyPrecision(Mat, PetscInt *);
2485: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompButterflyLevels(Mat, PetscInt);
2486: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompButterflyLevels(Mat, PetscInt *);
2487: #endif

2489: PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2490: PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2491: PETSC_DEPRECATED_FUNCTION(3, 13, 0, "MatBindToCPU()", ) static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2492: {
2493:   return MatBindToCPU(A, flg);
2494: }
2495: PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2496: PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);

2498: #ifdef PETSC_HAVE_CUDA
2499: /*E
2500:     MatCUSPARSEStorageFormat - indicates the storage format for `MATAIJCUSPARSE` (GPU)
2501:     matrices.

2503:     Values:
2504: +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2505: .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2506: -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).

2508:     Level: intermediate

2510: .seealso: [](ch_matrices), `MATAIJCUSPARSE`, `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2511: E*/

2513: typedef enum {
2514:   MAT_CUSPARSE_CSR,
2515:   MAT_CUSPARSE_ELL,
2516:   MAT_CUSPARSE_HYB
2517: } MatCUSPARSEStorageFormat;

2519: /* these will be strings associated with enumerated type defined above */
2520: PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];

2522: /*E
2523:     MatCUSPARSEFormatOperation - indicates the operation of `MATAIJCUSPARSE` (GPU)
2524:     matrices whose operation should use a particular storage format.

2526:     Values:
2527: +   `MAT_CUSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2528: .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2529: .   `MAT_CUSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2530: -   `MAT_CUSPARSE_ALL`          - sets the storage format for all `MATAIJCUSPARSE` (GPU) matrices

2532:     Level: intermediate

2534: .seealso: [](ch_matrices), `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2535: E*/
2536: typedef enum {
2537:   MAT_CUSPARSE_MULT_DIAG,
2538:   MAT_CUSPARSE_MULT_OFFDIAG,
2539:   MAT_CUSPARSE_MULT,
2540:   MAT_CUSPARSE_ALL
2541: } MatCUSPARSEFormatOperation;

2543: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2544: PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2545: PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2546: PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2547: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2548: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2549: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2550: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2551: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2552: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2553: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2554: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);

2556: PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2557: PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2558: PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2559: PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2560: PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2561: PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2562: PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2563: PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2564: PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2565: PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2566: PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2567: PETSC_EXTERN PetscErrorCode MatDenseCUDASetPreallocation(Mat, PetscScalar *);

2569: PETSC_EXTERN PetscErrorCode MatCreateSeqSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2570: PETSC_EXTERN PetscErrorCode MatCreateSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2571: #endif

2573: #ifdef PETSC_HAVE_HIP
2574: /*E
2575:     MatHIPSPARSEStorageFormat - indicates the storage format for `MATAIJHIPSPARSE` (GPU)
2576:     matrices.

2578:     Values:
2579: +   `MAT_HIPSPARSE_CSR` - Compressed Sparse Row
2580: .   `MAT_HIPSPARSE_ELL` - Ellpack
2581: -   `MAT_HIPSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format

2583:     Level: intermediate

2585: .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
2586: E*/

2588: typedef enum {
2589:   MAT_HIPSPARSE_CSR,
2590:   MAT_HIPSPARSE_ELL,
2591:   MAT_HIPSPARSE_HYB
2592: } MatHIPSPARSEStorageFormat;

2594: /* these will be strings associated with enumerated type defined above */
2595: PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];

2597: /*E
2598:     MatHIPSPARSEFormatOperation - indicates the operation of `MATAIJHIPSPARSE` (GPU)
2599:     matrices whose operation should use a particular storage format.

2601:     Values:
2602: +   `MAT_HIPSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2603: .   `MAT_HIPSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2604: .   `MAT_HIPSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2605: -   `MAT_HIPSPARSE_ALL`          - sets the storage format for all HIPSPARSE (GPU) matrices

2607:     Level: intermediate

2609: .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
2610: E*/
2611: typedef enum {
2612:   MAT_HIPSPARSE_MULT_DIAG,
2613:   MAT_HIPSPARSE_MULT_OFFDIAG,
2614:   MAT_HIPSPARSE_MULT,
2615:   MAT_HIPSPARSE_ALL
2616: } MatHIPSPARSEFormatOperation;

2618: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2619: PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2620: PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
2621: PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
2622: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2623: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2624: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
2625: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
2626: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
2627: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
2628: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
2629: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);

2631: PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2632: PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2633: PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
2634: PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
2635: PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
2636: PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
2637: PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
2638: PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
2639: PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
2640: PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
2641: PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);
2642: PETSC_EXTERN PetscErrorCode MatDenseHIPSetPreallocation(Mat, PetscScalar *);
2643: PETSC_EXTERN PetscErrorCode MatCreateSeqSELLHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2644: PETSC_EXTERN PetscErrorCode MatCreateSELLHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2645: #endif

2647: #if defined(PETSC_HAVE_VIENNACL)
2648: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2649: PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2650: #endif

2652: #if PetscDefined(HAVE_KOKKOS)
2653: PETSC_EXTERN PetscErrorCode MatCreateAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2654: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2655: #endif

2657: #if defined(PETSC_HAVE_FFTW)
2658: PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2659: PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2660: PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2661: #endif

2663: #if defined(PETSC_HAVE_SCALAPACK)
2664: PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2665: PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2666: PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2667: #endif

2669: PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2670: PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2671: PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2672: PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2673: PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2674: PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2675: PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2676: PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2677: PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);

2679: PETSC_EXTERN PetscErrorCode MatFilter(Mat, PetscReal, PetscBool, PetscBool);
2680: PETSC_DEPRECATED_FUNCTION(3, 20, 0, "MatFilter()", ) static inline PetscErrorCode MatChop(Mat A, PetscReal tol)
2681: {
2682:   return MatFilter(A, tol, PETSC_FALSE, PETSC_FALSE);
2683: }
2684: PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);

2686: PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);

2688: PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);

2690: PETSC_EXTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2691: PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);

2693: PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);

2695: PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, PetscInt, PetscInt[], Mat *);
2696: PETSC_EXTERN PetscErrorCode MatEliminateZeros(Mat, PetscBool);

2698: PETSC_EXTERN PetscErrorCode MatCreateDenseFromVecType(MPI_Comm, VecType, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar *, Mat *);

2700: PETSC_EXTERN PetscErrorCode MatSetHPL(Mat, int);
2701: #define PETSCBMHPL "hpl"

2703: PETSC_EXTERN PetscErrorCode MatDFischer(Mat, Vec, Vec, Vec, Vec, Vec, Vec, Vec, Vec);