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 = 0,
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, Mat, Mat, const 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 *);

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

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

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

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

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

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

565:    Level: beginner

567:    Notes:
568:    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).
569:    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.

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

573:    For staggered grids, see `DMStagStencil`

575:    Fortran Note:
576:    See `MatSetValuesStencil()` for details.

578: .seealso: [](ch_matrices), `Mat`, `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`,
579:           `DMStagStencil`
580: S*/
581: typedef struct {
582:   PetscInt k, j, i, c;
583: } MatStencil;

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

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

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

596:     Level: beginner

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

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

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

612:    Level: beginner

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

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

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

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

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

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

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

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

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

745:   Level: beginner

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

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

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

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

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

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

782:    Level: intermediate

784:    Fortran Note:
785:    Information is stored as a double-precision array of dimension `MAT_INFO_SIZE`

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

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

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

808:     Level: beginner

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

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

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

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

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

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

906: PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
907: PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat, PetscInt n, IS is[], PetscInt ov);
908: PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);

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

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

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

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

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

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

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

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

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

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

963:    Not Collective

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

972:    Level: beginner

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

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

980: .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `InsertMode`, `MatGetValue()`, `MatSetValues()`,
981:           `MatSetValueLocal()`, `MatSetValuesLocal()`
982: @*/
983: static inline PetscErrorCode MatSetValue(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
984: {
985:   return MatSetValues(mat, 1, &i, 1, &j, &va, mode);
986: }

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

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

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

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

1001:    Level: advanced

1003:    Notes:
1004:    The matrix must have been assembled with `MatAssemblyBegin()` and `MatAssemblyEnd()` before this call

1006:    For efficiency one should use `MatGetValues()` and get several values simultaneously.

1008:    See notes for `MatGetValues()`.

1010: .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
1011: @*/
1012: static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
1013: {
1014:   return MatGetValues(mat, 1, &row, 1, &col, va);
1015: }

1017: /*@C
1018:    MatSetValueLocal - Inserts or adds a single value into a matrix, using a local numbering of the nodes.

1020:    Not Collective

1022:    Input Parameters:
1023: +  mat  - the matrix
1024: .  i    - the row location of the entry
1025: .  j    - the column location of the entry
1026: .  va   - the value to insert
1027: -  mode - either `INSERT_VALUES` or `ADD_VALUES`

1029:    Level: intermediate

1031:    Notes:
1032:    For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.

1034:    See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.

1036: .seealso: [](ch_matrices), `MatSetValue()`, `MatSetValuesLocal()`
1037: @*/
1038: static inline PetscErrorCode MatSetValueLocal(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
1039: {
1040:   return MatSetValuesLocal(mat, 1, &i, 1, &j, &va, mode);
1041: }

1043: /*MC
1044:    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
1045:    row in a matrix providing the data that one can use to correctly preallocate the matrix.

1047:    Synopsis:
1048: #include <petscmat.h>
1049:    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)

1051:    Collective

1053:    Input Parameters:
1054: +  comm  - the communicator that will share the eventually allocated matrix
1055: .  nrows - the number of LOCAL rows in the matrix
1056: -  ncols - the number of LOCAL columns in the matrix

1058:    Output Parameters:
1059: +  dnz - the array that will be passed to the matrix preallocation routines
1060: -  onz - the other array passed to the matrix preallocation routines

1062:    Level: deprecated (since v3.19)

1064:    Notes:
1065:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1066:    the use of this routine

1068:    This is a macro that handles its own error checking, it does not return an error code.

1070:    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines

1072:    Developer Note:
1073:    This is a MACRO, not a function, because it has a leading { that is closed by `PetscPreallocateFinalize()`.

1075: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1076:           `MatPreallocateSymmetricSetLocalBlock()`
1077: M*/
1078: #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
1079:   do { \
1080:     PetscInt              __nrows = (nrows), __ncols = (ncols), __rstart, __end = 0; \
1081:     PetscInt PETSC_UNUSED __start; \
1082:     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
1083:     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
1084:     __start = __end - __ncols; \
1085:     (void)__start; \
1086:     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
1087:   __rstart -= __nrows

1089: #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateBegin()", ) MatPreallocateBegin(__VA_ARGS__)

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

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

1099:    Not Collective

1101:    Input Parameters:
1102: +  map   - the row mapping from local numbering to global numbering
1103: .  nrows - the number of rows indicated
1104: .  rows  - the indices of the rows
1105: .  cmap  - the column mapping from local to global numbering
1106: .  ncols - the number of columns in the matrix
1107: .  cols  - the columns indicated
1108: .  dnz   - the array that will be passed to the matrix preallocation routines
1109: -  onz   - the other array passed to the matrix preallocation routines

1111:    Level: deprecated (since v3.19)

1113:    Notes:
1114:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1115:    the use of this routine

1117:    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines

1119: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1120:           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
1121: M*/
1122: #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1123:   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));)

1125: /*MC
1126:    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1127:    inserted using a local number of the rows and columns. This version removes any duplicate columns in cols

1129:    Synopsis:
1130: #include <petscmat.h>
1131:    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1133:    Not Collective

1135:    Input Parameters:
1136: +  map   - the row mapping from local numbering to global numbering
1137: .  nrows - the number of rows indicated
1138: .  rows  - the indices of the rows (these values are mapped to the global values)
1139: .  cmap  - the column mapping from local to global numbering
1140: .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1141: .  cols  - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1142: .  dnz   - the array that will be passed to the matrix preallocation routines
1143: -  onz   - the other array passed to the matrix preallocation routines

1145:    Level: deprecated (since v3.19)

1147:    Notes:
1148:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1149:    the use of this routine

1151:    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines

1153: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1154:           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1155: M*/
1156: #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1157:   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));)

1159: /*MC
1160:    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1161:    inserted using a local number of the rows and columns

1163:    Synopsis:
1164: #include <petscmat.h>
1165:    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1167:    Not Collective

1169:    Input Parameters:
1170: +  map   - the row mapping from local numbering to global numbering
1171: .  nrows - the number of rows indicated
1172: .  rows  - the indices of the rows
1173: .  cmap  - the column mapping from local to global numbering
1174: .  ncols - the number of columns in the matrix
1175: .  cols  - the columns indicated
1176: .  dnz   - the array that will be passed to the matrix preallocation routines
1177: -  onz   - the other array passed to the matrix preallocation routines

1179:    Level: deprecated (since v3.19)

1181:    Notes:
1182:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1183:    the use of this routine

1185:    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines

1187: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1188:           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1189: M*/
1190: #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1191:   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));)

1193: /*MC
1194:    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1195:    inserted using a local number of the rows and columns

1197:    Synopsis:
1198: #include <petscmat.h>
1199:    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1201:    Not Collective

1203:    Input Parameters:
1204: +  map   - the mapping between local numbering and global numbering
1205: .  nrows - the number of rows indicated
1206: .  rows  - the indices of the rows
1207: .  ncols - the number of columns in the matrix
1208: .  cols  - the columns indicated
1209: .  dnz   - the array that will be passed to the matrix preallocation routines
1210: -  onz   - the other array passed to the matrix preallocation routines

1212:    Level: deprecated (since v3.19)

1214:    Notes:
1215:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1216:    the use of this routine

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

1220: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`
1221:           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1222: M*/
1223: #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1224:   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));)

1226: /*MC
1227:    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1228:    inserted using a local number of the rows and columns

1230:    Synopsis:
1231: #include <petscmat.h>
1232:    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1234:    Not Collective

1236:    Input Parameters:
1237: +  row   - the row
1238: .  ncols - the number of columns in the matrix
1239: -  cols  - the columns indicated

1241:    Output Parameters:
1242: +  dnz - the array that will be passed to the matrix preallocation routines
1243: -  onz - the other array passed to the matrix preallocation routines

1245:    Level: deprecated (since v3.19)

1247:    Notes:
1248:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1249:    the use of this routine

1251:    Do not malloc or free `dnz` and `onz` that is handled internally by these routines

1253:    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().

1255: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1256:           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1257: M*/
1258: #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1259:   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) { \
1260:     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1261:     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1262:   })

1264: /*MC
1265:    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1266:    inserted using a local number of the rows and columns

1268:    Synopsis:
1269: #include <petscmat.h>
1270:    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1272:    Not Collective

1274:    Input Parameters:
1275: +  nrows - the number of rows indicated
1276: .  rows  - the indices of the rows
1277: .  ncols - the number of columns in the matrix
1278: .  cols  - the columns indicated
1279: .  dnz   - the array that will be passed to the matrix preallocation routines
1280: -  onz   - the other array passed to the matrix preallocation routines

1282:    Level: deprecated (since v3.19)

1284:    Notes:
1285:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1286:    the use of this routine

1288:    Do not malloc or free `dnz` and `onz` that is handled internally by these routines

1290:    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().

1292: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1293:           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1294: M*/
1295: #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1296:   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
1297:     if (cols[__i] >= __end) onz[row - __rstart]++; \
1298:     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1299:   })

1301: /*MC
1302:    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists

1304:    Synopsis:
1305: #include <petscmat.h>
1306:    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)

1308:    Not Collective

1310:    Input Parameters:
1311: +  A     - matrix
1312: .  row   - row where values exist (must be local to this process)
1313: .  ncols - number of columns
1314: .  cols  - columns with nonzeros
1315: .  dnz   - the array that will be passed to the matrix preallocation routines
1316: -  onz   - the other array passed to the matrix preallocation routines

1318:    Level: deprecated (since v3.19)

1320:    Notes:
1321:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1322:    the use of this routine

1324:    Do not malloc or free `dnz` and `onz` that is handled internally by these routines

1326:    Developer Note:
1327:    This is a MACRO, not a function, because it uses a bunch of variables private to the MatPreallocation.... routines.

1329: .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1330:           `MatPreallocateSymmetricSetLocalBlock()`
1331: M*/
1332: #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))

1334: /*MC
1335:    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1336:    row in a matrix providing the data that one can use to correctly preallocate the matrix.

1338:    Synopsis:
1339: #include <petscmat.h>
1340:    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)

1342:    Collective

1344:    Input Parameters:
1345: +  dnz - the array that was be passed to the matrix preallocation routines
1346: -  onz - the other array passed to the matrix preallocation routines

1348:    Level: deprecated (since v3.19)

1350:    Notes:
1351:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1352:    the use of this routine

1354:    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines

1356:    Developer Note:
1357:    This is a MACRO, not a function, because it closes the { started in MatPreallocateBegin().

1359: .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1360:           `MatPreallocateSymmetricSetLocalBlock()`
1361: M*/
1362: #define MatPreallocateEnd(dnz, onz) \
1363:   PetscCall(PetscFree2(dnz, onz)); \
1364:   } \
1365:   while (0)

1367: #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateEnd()", ) MatPreallocateEnd(__VA_ARGS__)

1369: /* Routines unique to particular data structures */
1370: PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, void *);

1372: PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1373: PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);

1375: PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1376: PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1377: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1378: PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1379: PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1380: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscInt, PetscBool);

1382: #define MAT_SKIP_ALLOCATION -4

1384: PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1385: PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1386: PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1387: PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);

1389: PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1390: PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1391: PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1392: PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1393: PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1394: PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1395: PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1396: PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1397: PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1398: PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1399: PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1400: PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1401: PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1402: PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1403: PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);

1405: PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1406: PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1407: PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatDenseSetLDA()", ) static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
1408: {
1409:   return MatDenseSetLDA(A, lda);
1410: }
1411: PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);

1413: PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);

1415: PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1416: PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);

1418: PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1419: PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1420: /*
1421:   These routines are not usually accessed directly, rather solving is
1422:   done through the KSP and PC interfaces.
1423: */

1425: /*J
1426:    MatOrderingType - String with the name of a PETSc matrix ordering. These orderings are most commonly used
1427:    to reduce fill in sparse factorizations.

1429:    Level: beginner

1431:    Notes:
1432:    If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and instead the external factorization solver package called utilizes one
1433:    of its own.

1435:    There is no `MatOrdering` object, the ordering is obtained directly from the matrix with `MatGetOrdering()`

1437:    Developer Note:
1438:    This API should be converted to an API similar to those for `MatColoring` and `MatPartitioning`

1440: .seealso: [](ch_matrices), [](sec_graph), `MatGetFactor()`, `MatGetOrdering()`, `MatColoringType`, `MatPartitioningType`, `MatCoarsenType`, `MatCoarsenType`,
1441:           `PCFactorSetOrderingType()`
1442: J*/
1443: typedef const char *MatOrderingType;
1444: #define MATORDERINGNATURAL       "natural"
1445: #define MATORDERINGND            "nd"
1446: #define MATORDERING1WD           "1wd"
1447: #define MATORDERINGRCM           "rcm"
1448: #define MATORDERINGQMD           "qmd"
1449: #define MATORDERINGROWLENGTH     "rowlength"
1450: #define MATORDERINGWBM           "wbm"
1451: #define MATORDERINGSPECTRAL      "spectral"
1452: #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1453: #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1454: #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 */
1455: #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */

1457: PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1458: PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1459: PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1460: PETSC_EXTERN PetscFunctionList MatOrderingList;

1462: #include "petscmatcoarsen.h"

1464: PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1465: PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);

1467: PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);

1469: /*S
1470:    MatFactorShiftType - Type of numeric shift used for factorizations

1472:    Values:
1473: +  `MAT_SHIFT_NONE`              - do not shift the matrix diagonal entries
1474: .  `MAT_SHIFT_NONZERO`           - shift the entries to be non-zero
1475: .  `MAT_SHIFT_POSITIVE_DEFINITE` - shift the entries to force the factorization to be positive definite
1476: -  `MAT_SHIFT_INBLOCKS`          - only shift the factors inside the small dense diagonal blocks of the matrix, for example with `MATBAIJ`

1478:    Level: intermediate

1480: .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `PCFactorSetShiftType()`
1481: S*/
1482: typedef enum {
1483:   MAT_SHIFT_NONE,
1484:   MAT_SHIFT_NONZERO,
1485:   MAT_SHIFT_POSITIVE_DEFINITE,
1486:   MAT_SHIFT_INBLOCKS
1487: } MatFactorShiftType;
1488: PETSC_EXTERN const char *const MatFactorShiftTypes[];
1489: PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];

1491: /*S
1492:     MatFactorError - indicates what type of error was generated in a matrix factorization

1494:     Values:
1495: +   `MAT_FACTOR_NOERROR`           - there was no error during the factorization
1496: .   `MAT_FACTOR_STRUCT_ZEROPIVOT`  - there was a missing entry in a diagonal location of the matrix
1497: .   `MAT_FACTOR_NUMERIC_ZEROPIVOT` - there was a (near) zero pivot during the factorization
1498: .   `MAT_FACTOR_OUTMEMORY`         - the factorization has run out of memory
1499: -   `MAT_FACTOR_OTHER`             - some other error has occurred.

1501:     Level: intermediate

1503:     Note:
1504:     When a factorization is done in a preconditioner `PC` the error may be propagated up to a `PCFailedReason` or a `KSPConvergedReason`

1506: .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `MatFactorGetError()`, `MatFactorGetErrorZeroPivot()`, `MatFactorClearError()`,
1507:           `PCFailedReason`, `PCGetFailedReason()`, `KSPConvergedReason`
1508: S*/
1509: typedef enum {
1510:   MAT_FACTOR_NOERROR,
1511:   MAT_FACTOR_STRUCT_ZEROPIVOT,
1512:   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1513:   MAT_FACTOR_OUTMEMORY,
1514:   MAT_FACTOR_OTHER
1515: } MatFactorError;

1517: PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1518: PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1519: PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);

1521: /*S
1522:    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization

1524:    Level: developer

1526:    Note:
1527:    You can use `MatFactorInfoInitialize()` to set default values.

1529:    Fortran Note:
1530:    The data is available in a double precision arrays of size `MAT_FACTORINFO_SIZE`

1532: .seealso: [](ch_matrices), `Mat`, `MatInfo`, `MatGetFactor()`, `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`,
1533:           `MatICCFactorSymbolic()`, `MatICCFactor()`, `MatFactorInfoInitialize()`
1534: S*/
1535: typedef struct {
1536:   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1537:   PetscReal usedt;
1538:   PetscReal dt;            /* drop tolerance */
1539:   PetscReal dtcol;         /* tolerance for pivoting */
1540:   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1541:   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1542:   PetscReal levels;        /* ICC/ILU(levels) */
1543:   PetscReal pivotinblocks; /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1544:                                    factorization may be faster if do not pivot */
1545:   PetscReal zeropivot;     /* pivot is called zero if less than this */
1546:   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1547:   PetscReal shiftamount;   /* how large the shift is */
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:    Notes:
1710:    This object is creating utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`

1712:    The `SNES` option `-snes_fd_coloring` will cause the Jacobian needed by `SNES` to be computed via a use of this object

1714: .seealso: [](ch_matrices), `Mat`, `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1715: S*/
1716: typedef struct _p_MatFDColoring *MatFDColoring;

1718: PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1719: PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1720: PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1721: PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, PetscErrorCode (*)(void), void *);
1722: PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, PetscErrorCode (**)(void), void **);
1723: PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1724: PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1725: PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1726: PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1727: PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1728: PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1729: PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1730: PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);

1732: /*S
1733:    MatTransposeColoring - Object for computing a sparse matrix product $C = A*B^T$ via coloring

1735:    Level: developer

1737: .seealso: [](ch_matrices), `Mat`, `MatProductType`, `MatTransposeColoringCreate()`
1738: S*/
1739: typedef struct _p_MatTransposeColoring *MatTransposeColoring;

1741: PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1742: PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1743: PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1744: PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);

1746: /*S
1747:    MatPartitioning - Object for managing the partitioning of a matrix or graph

1749:    Level: beginner

1751:    Note:
1752:    There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1753:    via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)

1755:    Developer Note:
1756:    It is an extra maintenance and documentation cost to have two objects with the same functionality. `PetscPartitioner` should be removed

1758: .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`, `MatOrderingType`,
1759:           `MatCoarsenType`, `MatCoarsenType`
1760: S*/
1761: typedef struct _p_MatPartitioning *MatPartitioning;

1763: /*J
1764:     MatPartitioningType - String with the name of a PETSc matrix partitioning

1766:    Level: beginner
1767: dm
1768: .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`, `MatColoringType`, `MatOrderingType`,
1769:           `MatCoarsenType`, `MatCoarsenType`
1770: J*/
1771: typedef const char *MatPartitioningType;
1772: #define MATPARTITIONINGCURRENT  "current"
1773: #define MATPARTITIONINGAVERAGE  "average"
1774: #define MATPARTITIONINGSQUARE   "square"
1775: #define MATPARTITIONINGPARMETIS "parmetis"
1776: #define MATPARTITIONINGCHACO    "chaco"
1777: #define MATPARTITIONINGPARTY    "party"
1778: #define MATPARTITIONINGPTSCOTCH "ptscotch"
1779: #define MATPARTITIONINGHIERARCH "hierarch"

1781: PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1782: PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1783: PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1784: PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1785: PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1786: PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1787: PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1788: PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1789: PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1790: PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1791: PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1792: PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1793: PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1794: PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1795: PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1796: PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1797: PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1798: PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1799: PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);

1801: PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1802: PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1803: PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);

1805: typedef enum {
1806:   MP_CHACO_MULTILEVEL = 1,
1807:   MP_CHACO_SPECTRAL   = 2,
1808:   MP_CHACO_LINEAR     = 4,
1809:   MP_CHACO_RANDOM     = 5,
1810:   MP_CHACO_SCATTERED  = 6
1811: } MPChacoGlobalType;
1812: PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1813: typedef enum {
1814:   MP_CHACO_KERNIGHAN = 1,
1815:   MP_CHACO_NONE      = 2
1816: } MPChacoLocalType;
1817: PETSC_EXTERN const char *const MPChacoLocalTypes[];
1818: typedef enum {
1819:   MP_CHACO_LANCZOS = 0,
1820:   MP_CHACO_RQI     = 1
1821: } MPChacoEigenType;
1822: PETSC_EXTERN const char *const MPChacoEigenTypes[];

1824: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1825: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1826: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1827: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1828: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1829: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1830: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1831: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1832: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1833: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1834: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);

1836: #define MP_PARTY_OPT "opt"
1837: #define MP_PARTY_LIN "lin"
1838: #define MP_PARTY_SCA "sca"
1839: #define MP_PARTY_RAN "ran"
1840: #define MP_PARTY_GBF "gbf"
1841: #define MP_PARTY_GCF "gcf"
1842: #define MP_PARTY_BUB "bub"
1843: #define MP_PARTY_DEF "def"
1844: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1845: #define MP_PARTY_HELPFUL_SETS  "hs"
1846: #define MP_PARTY_KERNIGHAN_LIN "kl"
1847: #define MP_PARTY_NONE          "no"
1848: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1849: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1850: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1851: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);

1853: typedef enum {
1854:   MP_PTSCOTCH_DEFAULT,
1855:   MP_PTSCOTCH_QUALITY,
1856:   MP_PTSCOTCH_SPEED,
1857:   MP_PTSCOTCH_BALANCE,
1858:   MP_PTSCOTCH_SAFETY,
1859:   MP_PTSCOTCH_SCALABILITY
1860: } MPPTScotchStrategyType;
1861: PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];

1863: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1864: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1865: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1866: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);

1868: /*
1869:  * hierarchical partitioning
1870:  */
1871: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1872: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1873: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1874: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);

1876: PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);

1878: /*
1879:     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1880:     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1881: */
1882: typedef enum {
1883:   MATOP_SET_VALUES               = 0,
1884:   MATOP_GET_ROW                  = 1,
1885:   MATOP_RESTORE_ROW              = 2,
1886:   MATOP_MULT                     = 3,
1887:   MATOP_MULT_ADD                 = 4,
1888:   MATOP_MULT_TRANSPOSE           = 5,
1889:   MATOP_MULT_TRANSPOSE_ADD       = 6,
1890:   MATOP_SOLVE                    = 7,
1891:   MATOP_SOLVE_ADD                = 8,
1892:   MATOP_SOLVE_TRANSPOSE          = 9,
1893:   MATOP_SOLVE_TRANSPOSE_ADD      = 10,
1894:   MATOP_LUFACTOR                 = 11,
1895:   MATOP_CHOLESKYFACTOR           = 12,
1896:   MATOP_SOR                      = 13,
1897:   MATOP_TRANSPOSE                = 14,
1898:   MATOP_GETINFO                  = 15,
1899:   MATOP_EQUAL                    = 16,
1900:   MATOP_GET_DIAGONAL             = 17,
1901:   MATOP_DIAGONAL_SCALE           = 18,
1902:   MATOP_NORM                     = 19,
1903:   MATOP_ASSEMBLY_BEGIN           = 20,
1904:   MATOP_ASSEMBLY_END             = 21,
1905:   MATOP_SET_OPTION               = 22,
1906:   MATOP_ZERO_ENTRIES             = 23,
1907:   MATOP_ZERO_ROWS                = 24,
1908:   MATOP_LUFACTOR_SYMBOLIC        = 25,
1909:   MATOP_LUFACTOR_NUMERIC         = 26,
1910:   MATOP_CHOLESKY_FACTOR_SYMBOLIC = 27,
1911:   MATOP_CHOLESKY_FACTOR_NUMERIC  = 28,
1912:   MATOP_SETUP                    = 29,
1913:   MATOP_ILUFACTOR_SYMBOLIC       = 30,
1914:   MATOP_ICCFACTOR_SYMBOLIC       = 31,
1915:   MATOP_GET_DIAGONAL_BLOCK       = 32,
1916:   MATOP_SET_INF                  = 33,
1917:   MATOP_DUPLICATE                = 34,
1918:   MATOP_FORWARD_SOLVE            = 35,
1919:   MATOP_BACKWARD_SOLVE           = 36,
1920:   MATOP_ILUFACTOR                = 37,
1921:   MATOP_ICCFACTOR                = 38,
1922:   MATOP_AXPY                     = 39,
1923:   MATOP_CREATE_SUBMATRICES       = 40,
1924:   MATOP_INCREASE_OVERLAP         = 41,
1925:   MATOP_GET_VALUES               = 42,
1926:   MATOP_COPY                     = 43,
1927:   MATOP_GET_ROW_MAX              = 44,
1928:   MATOP_SCALE                    = 45,
1929:   MATOP_SHIFT                    = 46,
1930:   MATOP_DIAGONAL_SET             = 47,
1931:   MATOP_ZERO_ROWS_COLUMNS        = 48,
1932:   MATOP_SET_RANDOM               = 49,
1933:   MATOP_GET_ROW_IJ               = 50,
1934:   MATOP_RESTORE_ROW_IJ           = 51,
1935:   MATOP_GET_COLUMN_IJ            = 52,
1936:   MATOP_RESTORE_COLUMN_IJ        = 53,
1937:   MATOP_FDCOLORING_CREATE        = 54,
1938:   MATOP_COLORING_PATCH           = 55,
1939:   MATOP_SET_UNFACTORED           = 56,
1940:   MATOP_PERMUTE                  = 57,
1941:   MATOP_SET_VALUES_BLOCKED       = 58,
1942:   MATOP_CREATE_SUBMATRIX         = 59,
1943:   MATOP_DESTROY                  = 60,
1944:   MATOP_VIEW                     = 61,
1945:   MATOP_CONVERT_FROM             = 62,
1946:   /* MATOP_PLACEHOLDER_63=63 */
1947:   MATOP_MATMAT_MULT_SYMBOLIC    = 64,
1948:   MATOP_MATMAT_MULT_NUMERIC     = 65,
1949:   MATOP_SET_LOCAL_TO_GLOBAL_MAP = 66,
1950:   MATOP_SET_VALUES_LOCAL        = 67,
1951:   MATOP_ZERO_ROWS_LOCAL         = 68,
1952:   MATOP_GET_ROW_MAX_ABS         = 69,
1953:   MATOP_GET_ROW_MIN_ABS         = 70,
1954:   MATOP_CONVERT                 = 71,
1955:   MATOP_HAS_OPERATION           = 72,
1956:   /* MATOP_PLACEHOLDER_73=73, */
1957:   MATOP_SET_VALUES_ADIFOR = 74,
1958:   MATOP_FD_COLORING_APPLY = 75,
1959:   MATOP_SET_FROM_OPTIONS  = 76,
1960:   /* MATOP_PLACEHOLDER_77=77, */
1961:   /* MATOP_PLACEHOLDER_78=78, */
1962:   MATOP_FIND_ZERO_DIAGONALS       = 79,
1963:   MATOP_MULT_MULTIPLE             = 80,
1964:   MATOP_SOLVE_MULTIPLE            = 81,
1965:   MATOP_GET_INERTIA               = 82,
1966:   MATOP_LOAD                      = 83,
1967:   MATOP_IS_SYMMETRIC              = 84,
1968:   MATOP_IS_HERMITIAN              = 85,
1969:   MATOP_IS_STRUCTURALLY_SYMMETRIC = 86,
1970:   MATOP_SET_VALUES_BLOCKEDLOCAL   = 87,
1971:   MATOP_CREATE_VECS               = 88,
1972:   /* MATOP_PLACEHOLDER_89=89, */
1973:   MATOP_MAT_MULT_SYMBOLIC = 90,
1974:   MATOP_MAT_MULT_NUMERIC  = 91,
1975:   /* MATOP_PLACEHOLDER_92=92, */
1976:   MATOP_PTAP_SYMBOLIC = 93,
1977:   MATOP_PTAP_NUMERIC  = 94,
1978:   /* MATOP_PLACEHOLDER_95=95, */
1979:   MATOP_MAT_TRANSPOSE_MULT_SYMBO = 96,
1980:   MATOP_MAT_TRANSPOSE_MULT_NUMER = 97,
1981:   MATOP_BIND_TO_CPU              = 98,
1982:   MATOP_PRODUCTSETFROMOPTIONS    = 99,
1983:   MATOP_PRODUCTSYMBOLIC          = 100,
1984:   MATOP_PRODUCTNUMERIC           = 101,
1985:   MATOP_CONJUGATE                = 102,
1986:   MATOP_VIEW_NATIVE              = 103,
1987:   MATOP_SET_VALUES_ROW           = 104,
1988:   MATOP_REAL_PART                = 105,
1989:   MATOP_IMAGINARY_PART           = 106,
1990:   MATOP_GET_ROW_UPPER_TRIANGULAR = 107,
1991:   MATOP_RESTORE_ROW_UPPER_TRIANG = 108,
1992:   MATOP_MAT_SOLVE                = 109,
1993:   MATOP_MAT_SOLVE_TRANSPOSE      = 110,
1994:   MATOP_GET_ROW_MIN              = 111,
1995:   MATOP_GET_COLUMN_VECTOR        = 112,
1996:   MATOP_MISSING_DIAGONAL         = 113,
1997:   MATOP_GET_SEQ_NONZERO_STRUCTUR = 114,
1998:   MATOP_CREATE                   = 115,
1999:   MATOP_GET_GHOSTS               = 116,
2000:   MATOP_GET_LOCAL_SUB_MATRIX     = 117,
2001:   MATOP_RESTORE_LOCALSUB_MATRIX  = 118,
2002:   MATOP_MULT_DIAGONAL_BLOCK      = 119,
2003:   MATOP_HERMITIAN_TRANSPOSE      = 120,
2004:   MATOP_MULT_HERMITIAN_TRANSPOSE = 121,
2005:   MATOP_MULT_HERMITIAN_TRANS_ADD = 122,
2006:   MATOP_GET_MULTI_PROC_BLOCK     = 123,
2007:   MATOP_FIND_NONZERO_ROWS        = 124,
2008:   MATOP_GET_COLUMN_NORMS         = 125,
2009:   MATOP_INVERT_BLOCK_DIAGONAL    = 126,
2010:   MATOP_INVERT_VBLOCK_DIAGONAL   = 127,
2011:   MATOP_CREATE_SUB_MATRICES_MPI  = 128,
2012:   MATOP_SET_VALUES_BATCH         = 129,
2013:   /* MATOP_PLACEHOLDER_130=130, */
2014:   MATOP_TRANSPOSE_MAT_MULT_SYMBO = 131,
2015:   MATOP_TRANSPOSE_MAT_MULT_NUMER = 132,
2016:   MATOP_TRANSPOSE_COLORING_CREAT = 133,
2017:   MATOP_TRANS_COLORING_APPLY_SPT = 134,
2018:   MATOP_TRANS_COLORING_APPLY_DEN = 135,
2019:   /* MATOP_PLACEHOLDER_136=136, */
2020:   MATOP_RART_SYMBOLIC         = 137,
2021:   MATOP_RART_NUMERIC          = 138,
2022:   MATOP_SET_BLOCK_SIZES       = 139,
2023:   MATOP_AYPX                  = 140,
2024:   MATOP_RESIDUAL              = 141,
2025:   MATOP_FDCOLORING_SETUP      = 142,
2026:   MATOP_FIND_OFFBLOCK_ENTRIES = 143,
2027:   MATOP_MPICONCATENATESEQ     = 144,
2028:   MATOP_DESTROYSUBMATRICES    = 145,
2029:   MATOP_MAT_TRANSPOSE_SOLVE   = 146,
2030:   MATOP_GET_VALUES_LOCAL      = 147,
2031:   MATOP_CREATE_GRAPH          = 148,
2032:   /* MATOP_PLACEHOLDER_149=149, */
2033:   MATOP_TRANSPOSE_SYMBOLIC  = 150,
2034:   MATOP_ELIMINATE_ZEROS     = 151,
2035:   MATOP_GET_ROW_SUM_ABS     = 152,
2036:   MATOP_GET_FACTOR          = 153,
2037:   MATOP_GET_BLOCK_DIAGONAL  = 154, // NOTE: caller of the two op functions owns the returned matrix
2038:   MATOP_GET_VBLOCK_DIAGONAL = 155, // and need to destroy it after use.
2039:   MATOP_COPY_HASH_TO_AIJ    = 156
2040: } MatOperation;
2041: PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, void (*)(void));
2042: PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, void (**)(void));
2043: PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
2044: PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
2045: PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatProductClear()", ) static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
2046: {
2047:   return MatProductClear(A);
2048: }
2049: PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, void (*)(void));
2050: PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, void (**)(void));
2051: PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, void *);
2052: PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscCtxDestroyFn *);
2053: PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
2054: PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2055: PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2056: PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
2057: PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscErrorCode (*)(void *), MatType, MatType);
2058: PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);

2060: /*
2061:    Codes for matrices stored on disk. By default they are
2062:    stored in a universal format. By changing the format with
2063:    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
2064:    be stored in a way natural for the matrix, for example dense matrices
2065:    would be stored as dense. Matrices stored this way may only be
2066:    read into matrices of the same type.
2067: */
2068: #define MATRIX_BINARY_FORMAT_DENSE -1

2070: PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);

2072: PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
2073: PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
2074: PETSC_EXTERN PetscErrorCode MatISSetAllowRepeated(Mat, PetscBool);
2075: PETSC_EXTERN PetscErrorCode MatISGetAllowRepeated(Mat, PetscBool *);
2076: PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
2077: PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
2078: PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
2079: PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
2080: PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
2081: PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);

2083: /*S
2084:    MatNullSpace - Object that removes a null space from a vector, i.e.
2085:                   orthogonalizes the vector to a subspace

2087:    Level: advanced

2089: .seealso: [](ch_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2090: S*/
2091: typedef struct _p_MatNullSpace *MatNullSpace;

2093: PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
2094: PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, PetscErrorCode (*)(MatNullSpace, Vec, void *), void *);
2095: PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
2096: PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
2097: PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
2098: PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
2099: PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
2100: PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
2101: PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
2102: PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
2103: PETSC_EXTERN PetscErrorCode MatGetNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2104: PETSC_EXTERN PetscErrorCode MatRestoreNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2105: PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
2106: PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
2107: PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
2108: PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);

2110: PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
2111: PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
2112: PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);

2114: PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
2115: PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
2116: PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);

2118: PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
2119: PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);

2121: PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperator()", ) static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
2122: {
2123:   return MatComputeOperator(A, PETSC_NULLPTR, B);
2124: }
2125: PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperatorTranspose()", ) static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
2126: {
2127:   return MatComputeOperatorTranspose(A, PETSC_NULLPTR, B);
2128: }

2130: PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
2131: PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
2132: PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
2133: PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2134: PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
2135: PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
2136: PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
2137: PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2138: PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
2139: PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
2140: PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
2141: PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
2142: PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
2143: PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);

2145: PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);

2147: PETSC_EXTERN PetscErrorCode MatMFFDInitializePackage(void);
2148: PETSC_EXTERN PetscErrorCode MatMFFDFinalizePackage(void);

2150: PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2151: PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
2152: PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, PetscErrorCode (*)(void *, Vec, Vec), void *);
2153: PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, PetscErrorCode (*)(void *, PetscInt, Vec, PetscScalar *));
2154: PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, PetscErrorCode (*)(void *, Vec));
2155: PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
2156: PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
2157: PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
2158: PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
2159: PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
2160: PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
2161: PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
2162: PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, PetscErrorCode (*)(void *, Vec, Vec, PetscScalar *), void *);

2164: /*S
2165:     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2166:               Jacobian vector products

2168:     Level: developer

2170:     Notes:
2171:     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure

2173:      MatMFFD*() methods actually take the `Mat` as their first argument. Not a `MatMFFD` data structure

2175:     This functionality is often obtained using `MatCreateSNESMF()` or with `SNES` solvers using `-snes_mf` or `-snes_mf_operator`

2177: .seealso: [](ch_matrices), `MatMFFDType`, `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`,
2178:           `MatCreateSNESMF()`, `SNES`, `-snes_mf`, `-snes_mf_operator`
2179: S*/
2180: typedef struct _p_MatMFFD *MatMFFD;

2182: /*J
2183:    MatMFFDType - algorithm used to compute the `h` used in computing matrix-vector products via differencing of a function

2185:    Values:
2186: +   `MATMFFD_DS` - an algorithm described by Dennis and Schnabel {cite}`dennis:83`
2187: -   `MATMFFD_WP` - the Walker-Pernice {cite}`pw98` strategy.

2189:    Level: beginner

2191: .seealso: [](ch_matrices), `MatMFFDSetType()`, `MatMFFDRegister()`, `MatMFFDSetFunction()`, `MatCreateMFFD()`
2192: J*/
2193: typedef const char *MatMFFDType;
2194: #define MATMFFD_DS "ds"
2195: #define MATMFFD_WP "wp"

2197: PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2198: PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));

2200: PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2201: PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);

2203: PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);

2205: PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2206: PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);

2208: #ifdef PETSC_HAVE_H2OPUS
2209: PETSC_EXTERN_TYPEDEF typedef PetscScalar(MatH2OpusKernelFn)(PetscInt, PetscReal[], PetscReal[], void *);
2210: PETSC_EXTERN_TYPEDEF typedef MatH2OpusKernelFn *MatH2OpusKernel;

2212: PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernelFn *, void *, PetscReal, PetscInt, PetscInt, Mat *);
2213: PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2214: PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2215: PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
2216: PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat, PetscReal);
2217: PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat, PetscBool);
2218: PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat, PetscBool *);
2219: PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat, IS *);
2220: PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2221: PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2222: #endif

2224: #ifdef PETSC_HAVE_HTOOL
2225: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(MatHtoolKernelFn)(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2226: PETSC_EXTERN_TYPEDEF typedef MatHtoolKernelFn *MatHtoolKernel;

2228: PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernelFn *, void *, Mat *);
2229: PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat, MatHtoolKernelFn *, void *);
2230: PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat, IS *);
2231: PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat, IS *);
2232: PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat, PetscBool);

2234: /*E
2235:    MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`

2237:    Values:
2238: +  `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2239: .  `MAT_HTOOL_COMPRESSOR_FULL_ACA`                 - full adaptive cross approximation
2240: -  `MAT_HTOOL_COMPRESSOR_SVD`                      - singular value decomposition

2242:    Level: intermediate

2244: .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2245: E*/
2246: typedef enum {
2247:   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2248:   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2249:   MAT_HTOOL_COMPRESSOR_SVD
2250: } MatHtoolCompressorType;

2252: /*E
2253:    MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`

2255:    Values:
2256: +  `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default)    - axis computed via principle component analysis, split uniformly
2257: .  `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC`            - axis computed via principle component analysis, split barycentrically
2258: .  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR`   - axis along the largest extent of the bounding box, split uniformly
2259: -  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically

2261:    Level: intermediate

2263:    Note:
2264:    Higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types

2266: .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2267: E*/
2268: typedef enum {
2269:   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2270:   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2271:   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2272:   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2273: } MatHtoolClusteringType;
2274: #endif

2276: #ifdef PETSC_HAVE_MUMPS
2277: PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2278: PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2279: PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2280: PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);

2282: PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2283: PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2284: PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2285: PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2286: PETSC_EXTERN PetscErrorCode MatMumpsGetNullPivots(Mat, PetscInt *, PetscInt **);
2287: PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2288: PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2289: #endif

2291: #ifdef PETSC_HAVE_MKL_PARDISO
2292: PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2293: #endif

2295: #ifdef PETSC_HAVE_MKL_CPARDISO
2296: PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2297: #endif

2299: #ifdef PETSC_HAVE_SUPERLU
2300: PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2301: #endif

2303: #ifdef PETSC_HAVE_SUPERLU_DIST
2304: PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2305: #endif

2307: #ifdef PETSC_HAVE_STRUMPACK
2308: /*E
2309:     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `MATSOLVERSTRUMPACK`

2311:     Values:
2312: +  `MAT_STRUMPACK_NATURAL`   - use the current ordering
2313: .  `MAT_STRUMPACK_METIS`     - use MeTis to compute an ordering
2314: .  `MAT_STRUMPACK_PARMETIS`  - use ParMeTis to compute an ordering
2315: .  `MAT_STRUMPACK_SCOTCH`    - use Scotch to compute an ordering
2316: .  `MAT_STRUMPACK_PTSCOTCH`  - use parallel Scotch to compute an ordering
2317: .  `MAT_STRUMPACK_RCM`       - use an RCM ordering
2318: .  `MAT_STRUMPACK_GEOMETRIC` - use a geometric ordering (needs mesh info from user)
2319: .  `MAT_STRUMPACK_AMD`       - approximate minimum degree
2320: .  `MAT_STRUMPACK_MMD`       - multiple minimum degree
2321: .  `MAT_STRUMPACK_AND`       - approximate nested dissection
2322: .  `MAT_STRUMPACK_MLF`       - minimum local fill
2323: -  `MAT_STRUMPACK_SPECTRAL`  - spectral nested dissection

2325:     Level: intermediate

2327:     Developer Note:
2328:     Should be called `MatSTRUMPACKReorderingType`

2330: .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetReordering()`
2331: E*/
2332: typedef enum {
2333:   MAT_STRUMPACK_NATURAL,
2334:   MAT_STRUMPACK_METIS,
2335:   MAT_STRUMPACK_PARMETIS,
2336:   MAT_STRUMPACK_SCOTCH,
2337:   MAT_STRUMPACK_PTSCOTCH,
2338:   MAT_STRUMPACK_RCM,
2339:   MAT_STRUMPACK_GEOMETRIC,
2340:   MAT_STRUMPACK_AMD,
2341:   MAT_STRUMPACK_MMD,
2342:   MAT_STRUMPACK_AND,
2343:   MAT_STRUMPACK_MLF,
2344:   MAT_STRUMPACK_SPECTRAL
2345: } MatSTRUMPACKReordering;

2347: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2348: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetReordering(Mat, MatSTRUMPACKReordering *);
2349: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricNxyz(Mat, PetscInt, PetscInt, PetscInt);
2350: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricComponents(Mat, PetscInt);
2351: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricWidth(Mat, PetscInt);
2352: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2353: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetColPerm(Mat, PetscBool *);
2354: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGPU(Mat, PetscBool);
2355: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetGPU(Mat, PetscBool *);

2357: /*E
2358:     MatSTRUMPACKCompressionType - Compression used in the approximate sparse factorization solver `MATSOLVERSTRUMPACK`

2360:     Values:
2361: +  `MAT_STRUMPACK_COMPRESSION_TYPE_NONE`          - no compression, direct solver
2362: .  `MAT_STRUMPACK_COMPRESSION_TYPE_HSS`           - hierarchically semi-separable
2363: .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR`           - block low rank
2364: .  `MAT_STRUMPACK_COMPRESSION_TYPE_HODLR`         - hierarchically off-diagonal low rank (requires ButterfyPACK support, configure with --download-butterflypack)
2365: .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR`     - hybrid of BLR and HODLR (requires ButterfyPACK support, configure with --download-butterflypack)
2366: .  `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)
2367: .  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS`      - lossless compression (requires ZFP support, configure with --download-zfp)
2368: -  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY`         - lossy compression (requires ZFP support, configure with --download-zfp)

2370:     Level: intermediate

2372: .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetCompression()`
2373: E*/
2374: typedef enum {
2375:   MAT_STRUMPACK_COMPRESSION_TYPE_NONE,
2376:   MAT_STRUMPACK_COMPRESSION_TYPE_HSS,
2377:   MAT_STRUMPACK_COMPRESSION_TYPE_BLR,
2378:   MAT_STRUMPACK_COMPRESSION_TYPE_HODLR,
2379:   MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR,
2380:   MAT_STRUMPACK_COMPRESSION_TYPE_ZFP_BLR_HODLR,
2381:   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS,
2382:   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY
2383: } MatSTRUMPACKCompressionType;

2385: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompression(Mat, MatSTRUMPACKCompressionType);
2386: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompression(Mat, MatSTRUMPACKCompressionType *);
2387: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompRelTol(Mat, PetscReal);
2388: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompRelTol(Mat, PetscReal *);
2389: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompAbsTol(Mat, PetscReal);
2390: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompAbsTol(Mat, PetscReal *);
2391: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompMinSepSize(Mat, PetscInt);
2392: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompMinSepSize(Mat, PetscInt *);
2393: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLeafSize(Mat, PetscInt);
2394: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLeafSize(Mat, PetscInt *);
2395: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLossyPrecision(Mat, PetscInt);
2396: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLossyPrecision(Mat, PetscInt *);
2397: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompButterflyLevels(Mat, PetscInt);
2398: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompButterflyLevels(Mat, PetscInt *);
2399: #endif

2401: PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2402: PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2403: PETSC_DEPRECATED_FUNCTION(3, 13, 0, "MatBindToCPU()", ) static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2404: {
2405:   return MatBindToCPU(A, flg);
2406: }
2407: PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2408: PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);

2410: #ifdef PETSC_HAVE_CUDA
2411: /*E
2412:     MatCUSPARSEStorageFormat - indicates the storage format for `MATAIJCUSPARSE` (GPU)
2413:     matrices.

2415:     Values:
2416: +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2417: .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2418: -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).

2420:     Level: intermediate

2422: .seealso: [](ch_matrices), `MATAIJCUSPARSE`, `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2423: E*/

2425: typedef enum {
2426:   MAT_CUSPARSE_CSR,
2427:   MAT_CUSPARSE_ELL,
2428:   MAT_CUSPARSE_HYB
2429: } MatCUSPARSEStorageFormat;

2431: /* these will be strings associated with enumerated type defined above */
2432: PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];

2434: /*E
2435:     MatCUSPARSEFormatOperation - indicates the operation of `MATAIJCUSPARSE` (GPU)
2436:     matrices whose operation should use a particular storage format.

2438:     Values:
2439: +   `MAT_CUSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2440: .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2441: .   `MAT_CUSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2442: -   `MAT_CUSPARSE_ALL`          - sets the storage format for all `MATAIJCUSPARSE` (GPU) matrices

2444:     Level: intermediate

2446: .seealso: [](ch_matrices), `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2447: E*/
2448: typedef enum {
2449:   MAT_CUSPARSE_MULT_DIAG,
2450:   MAT_CUSPARSE_MULT_OFFDIAG,
2451:   MAT_CUSPARSE_MULT,
2452:   MAT_CUSPARSE_ALL
2453: } MatCUSPARSEFormatOperation;

2455: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2456: PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2457: PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2458: PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2459: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2460: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2461: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2462: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2463: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2464: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2465: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2466: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);

2468: PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2469: PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2470: PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2471: PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2472: PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2473: PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2474: PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2475: PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2476: PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2477: PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2478: PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2479: PETSC_EXTERN PetscErrorCode MatDenseCUDASetPreallocation(Mat, PetscScalar *);

2481: PETSC_EXTERN PetscErrorCode MatCreateSeqSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2482: PETSC_EXTERN PetscErrorCode MatCreateSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2483: #endif

2485: #ifdef PETSC_HAVE_HIP
2486: /*E
2487:     MatHIPSPARSEStorageFormat - indicates the storage format for `MATAIJHIPSPARSE` (GPU)
2488:     matrices.

2490:     Values:
2491: +   `MAT_HIPSPARSE_CSR` - Compressed Sparse Row
2492: .   `MAT_HIPSPARSE_ELL` - Ellpack
2493: -   `MAT_HIPSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format

2495:     Level: intermediate

2497: .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
2498: E*/

2500: typedef enum {
2501:   MAT_HIPSPARSE_CSR,
2502:   MAT_HIPSPARSE_ELL,
2503:   MAT_HIPSPARSE_HYB
2504: } MatHIPSPARSEStorageFormat;

2506: /* these will be strings associated with enumerated type defined above */
2507: PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];

2509: /*E
2510:     MatHIPSPARSEFormatOperation - indicates the operation of `MATAIJHIPSPARSE` (GPU)
2511:     matrices whose operation should use a particular storage format.

2513:     Values:
2514: +   `MAT_HIPSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2515: .   `MAT_HIPSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2516: .   `MAT_HIPSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2517: -   `MAT_HIPSPARSE_ALL`          - sets the storage format for all HIPSPARSE (GPU) matrices

2519:     Level: intermediate

2521: .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
2522: E*/
2523: typedef enum {
2524:   MAT_HIPSPARSE_MULT_DIAG,
2525:   MAT_HIPSPARSE_MULT_OFFDIAG,
2526:   MAT_HIPSPARSE_MULT,
2527:   MAT_HIPSPARSE_ALL
2528: } MatHIPSPARSEFormatOperation;

2530: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2531: PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2532: PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
2533: PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
2534: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2535: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2536: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
2537: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
2538: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
2539: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
2540: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
2541: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);

2543: PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2544: PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2545: PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
2546: PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
2547: PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
2548: PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
2549: PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
2550: PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
2551: PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
2552: PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
2553: PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);
2554: PETSC_EXTERN PetscErrorCode MatDenseHIPSetPreallocation(Mat, PetscScalar *);
2555: PETSC_EXTERN PetscErrorCode MatCreateSeqSELLHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2556: PETSC_EXTERN PetscErrorCode MatCreateSELLHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2557: #endif

2559: #if defined(PETSC_HAVE_VIENNACL)
2560: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2561: PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2562: #endif

2564: #if PetscDefined(HAVE_KOKKOS)
2565: PETSC_EXTERN PetscErrorCode MatCreateAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2566: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2567: #endif

2569: #if defined(PETSC_HAVE_FFTW)
2570: PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2571: PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2572: PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2573: #endif

2575: #if defined(PETSC_HAVE_SCALAPACK)
2576: PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2577: PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2578: PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2579: #endif

2581: PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2582: PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2583: PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2584: PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2585: PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2586: PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2587: PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2588: PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2589: PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);

2591: PETSC_EXTERN PetscErrorCode MatFilter(Mat, PetscReal, PetscBool, PetscBool);
2592: PETSC_DEPRECATED_FUNCTION(3, 20, 0, "MatFilter()", ) static inline PetscErrorCode MatChop(Mat A, PetscReal tol)
2593: {
2594:   return MatFilter(A, tol, PETSC_FALSE, PETSC_FALSE);
2595: }
2596: PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);

2598: PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);

2600: PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);

2602: PETSC_EXTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2603: PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);

2605: PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);

2607: PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, PetscInt, PetscInt[], Mat *);
2608: PETSC_EXTERN PetscErrorCode MatEliminateZeros(Mat, PetscBool);

2610: PETSC_EXTERN PetscErrorCode MatCreateDenseFromVecType(MPI_Comm, VecType, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar *, Mat *);

2612: PETSC_EXTERN PetscErrorCode MatSetHPL(Mat, int);
2613: #define PETSCBMHPL "hpl"