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

 27:    Level: beginner

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

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

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

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

148:    Level: beginner

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

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

182: /*E
183:     MatFactorType - indicates what type of factorization is requested

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

193:     Level: beginner

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

209: PETSC_EXTERN PetscErrorCode MatGetFactor(Mat, MatSolverType, MatFactorType, Mat *);
210: PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat, MatSolverType, MatFactorType, PetscBool *);
211: PETSC_EXTERN PetscErrorCode MatFactorGetCanUseOrdering(Mat, PetscBool *);
212: PETSC_DEPRECATED_FUNCTION(3, 15, 0, "MatFactorGetCanUseOrdering()", ) static inline PetscErrorCode MatFactorGetUseOrdering(Mat A, PetscBool *b)
213: {
214:   return MatFactorGetCanUseOrdering(A, b);
215: }
216: PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat, MatSolverType *);
217: PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat, MatFactorType *);
218: PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat, MatFactorType);
219: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(MatSolverFn)(Mat, MatFactorType, Mat *);
220: PETSC_EXTERN_TYPEDEF typedef MatSolverFn *MatSolverFunction;

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

234: /*E
235:     MatProductType - indicates what type of matrix product to compute

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

245:     Level: beginner

247: .seealso: [](sec_matmatproduct), [](ch_matrices), `MatProductSetType()`
248: E*/
249: typedef enum {
250:   MATPRODUCT_UNSPECIFIED = 0,
251:   MATPRODUCT_AB,
252:   MATPRODUCT_AtB,
253:   MATPRODUCT_ABt,
254:   MATPRODUCT_PtAP,
255:   MATPRODUCT_RARt,
256:   MATPRODUCT_ABC
257: } MatProductType;
258: PETSC_EXTERN const char *const MatProductTypes[];

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

263:    Level: beginner

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

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

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

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

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

326:     Level: beginner

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

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

341:     Values:
342: +  `MAT_DO_NOT_GET_VALUES` - do not copy the matrix values
343: -  `MAT_GET_VALUES`        - copy the matrix values

345:     Level: developer

347:     Developer Note:
348:     Why is not just a boolean used for this information?

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

357: PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
358: PETSC_EXTERN PetscErrorCode MatFinalizePackage(void);

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

378: PETSC_EXTERN PetscFunctionList MatList;
379: PETSC_EXTERN PetscFunctionList MatColoringList;
380: PETSC_EXTERN PetscFunctionList MatPartitioningList;

382: /*E
383:    MatStructure - Indicates if two matrices have the same nonzero structure

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

392:    Level: beginner

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

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

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

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

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

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

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

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

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

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

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

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

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

487:     Values:
488: +  `MAT_COMPOSITE_ADDITIVE`       - sum of matrices (default)
489: -  `MAT_COMPOSITE_MULTIPLICATIVE` - product of matrices

491:     Level: beginner

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

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

510: PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat, Mat *);
511: PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat, Mat *);
512: PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat, Mat *);
513: PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat, Mat *);
514: PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat, Mat *);
515: PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat, Mat *);
516: PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat, IS, IS, Mat *);
517: PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat, Mat, IS, IS);
518: PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat, IS, IS, Mat *);
519: PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar, Mat *);
520: PETSC_EXTERN PetscErrorCode MatCreateDiagonal(Vec, Mat *);
521: PETSC_EXTERN PetscErrorCode MatDiagonalGetDiagonal(Mat, Vec *);
522: PETSC_EXTERN PetscErrorCode MatDiagonalRestoreDiagonal(Mat, Vec *);
523: PETSC_EXTERN PetscErrorCode MatDiagonalGetInverseDiagonal(Mat, Vec *);
524: PETSC_EXTERN PetscErrorCode MatDiagonalRestoreInverseDiagonal(Mat, Vec *);

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

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

534: PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
535: PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
536: PETSC_EXTERN PetscErrorCode MatDestroy(Mat *);
537: PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat, PetscObjectState *);

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

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

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

562:    Level: beginner

564:    Notes:
565:    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).
566:    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.

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

570:    For staggered grids, see `DMStagStencil`

572:    Fortran Note:
573:    See `MatSetValuesStencil()` for details.

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

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

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

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

593:     Level: beginner

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

602: PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat, MatAssemblyType);
603: PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat, MatAssemblyType);
604: PETSC_EXTERN PetscErrorCode MatAssembled(Mat, PetscBool *);

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

609:    Level: beginner

611:    Note:
612:    See `MatSetOption()` for the use of the options

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

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

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

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

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

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

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

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

742:   Level: beginner

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

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

756: PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
757: PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);

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

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

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

779:    Level: intermediate

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

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

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

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

805:     Level: beginner

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

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

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

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

870: PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
871: 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[])
872: {
873:   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
874: }
875: PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
876: 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[])
877: {
878:   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
879: }
880: PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
881: PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
882: PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
883: PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatrix()", ) static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat)
884: {
885:   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
886: }
887: PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
888: PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
889: PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
890: PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);

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

903: PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
904: PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat, PetscInt n, IS is[], PetscInt ov);
905: PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);

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

909: PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
910: PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);

912: PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
913: PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);

915: PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
916: PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);

918: PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
919: PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);

921: PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
922: PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);

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

936: PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
937: PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);

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

956: /*@C
957:    MatSetValue - Set a single entry into a matrix.

959:    Not Collective

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

968:    Level: beginner

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

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

976: .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `InsertMode`, `MatGetValue()`, `MatSetValues()`,
977:           `MatSetValueLocal()`, `MatSetValuesLocal()`
978: @*/
979: static inline PetscErrorCode MatSetValue(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
980: {
981:   return MatSetValues(mat, 1, &i, 1, &j, &va, mode);
982: }

984: /*@C
985:    MatGetValue - Gets a single value from a matrix

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

989:    Input Parameters:
990: +  mat - the matrix
991: .  row - the row location of the entry
992: -  col - the column location of the entry

994:    Output Parameter:
995: .  va - the value

997:    Level: advanced

999:    Notes:
1000:    The matrix must have been assembled with `MatAssemblyBegin()` and `MatAssemblyEnd()` before this call

1002:    For efficiency one should use `MatGetValues()` and get several values simultaneously.

1004:    See notes for `MatGetValues()`.

1006: .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
1007: @*/
1008: static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
1009: {
1010:   return MatGetValues(mat, 1, &row, 1, &col, va);
1011: }

1013: /*@C
1014:    MatSetValueLocal - Inserts or adds a single value into a matrix, using a local numbering of the nodes.

1016:    Not Collective

1018:    Input Parameters:
1019: +  mat  - the matrix
1020: .  i    - the row location of the entry
1021: .  j    - the column location of the entry
1022: .  va   - the value to insert
1023: -  mode - either `INSERT_VALUES` or `ADD_VALUES`

1025:    Level: intermediate

1027:    Notes:
1028:    For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.

1030:    See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.

1032: .seealso: [](ch_matrices), `MatSetValue()`, `MatSetValuesLocal()`
1033: @*/
1034: static inline PetscErrorCode MatSetValueLocal(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
1035: {
1036:   return MatSetValuesLocal(mat, 1, &i, 1, &j, &va, mode);
1037: }

1039: /*MC
1040:    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
1041:    row in a matrix providing the data that one can use to correctly preallocate the matrix.

1043:    Synopsis:
1044: #include <petscmat.h>
1045:    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)

1047:    Collective

1049:    Input Parameters:
1050: +  comm  - the communicator that will share the eventually allocated matrix
1051: .  nrows - the number of LOCAL rows in the matrix
1052: -  ncols - the number of LOCAL columns in the matrix

1054:    Output Parameters:
1055: +  dnz - the array that will be passed to the matrix preallocation routines
1056: -  onz - the other array passed to the matrix preallocation routines

1058:    Level: deprecated (since v3.19)

1060:    Notes:
1061:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1062:    the use of this routine

1064:    This is a macro that handles its own error checking, it does not return an error code.

1066:    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines

1068:    Developer Note:
1069:    This is a MACRO, not a function, because it has a leading { that is closed by `PetscPreallocateFinalize()`.

1071: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1072:           `MatPreallocateSymmetricSetLocalBlock()`
1073: M*/
1074: #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
1075:   do { \
1076:     PetscInt              __nrows = (nrows), __ncols = (ncols), __rstart, __end = 0; \
1077:     PetscInt PETSC_UNUSED __start; \
1078:     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
1079:     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
1080:     __start = __end - __ncols; \
1081:     (void)__start; \
1082:     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
1083:   __rstart -= __nrows

1085: #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateBegin()", ) MatPreallocateBegin(__VA_ARGS__)

1087: /*MC
1088:    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1089:    inserted using a local number of the rows and columns

1091:    Synopsis:
1092: #include <petscmat.h>
1093:    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1095:    Not Collective

1097:    Input Parameters:
1098: +  map   - the row mapping from local numbering to global numbering
1099: .  nrows - the number of rows indicated
1100: .  rows  - the indices of the rows
1101: .  cmap  - the column mapping from local to global numbering
1102: .  ncols - the number of columns in the matrix
1103: .  cols  - the columns indicated
1104: .  dnz   - the array that will be passed to the matrix preallocation routines
1105: -  onz   - the other array passed to the matrix preallocation routines

1107:    Level: deprecated (since v3.19)

1109:    Notes:
1110:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1111:    the use of this routine

1113:    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines

1115: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1116:           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
1117: M*/
1118: #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1119:   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));)

1121: /*MC
1122:    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1123:    inserted using a local number of the rows and columns. This version removes any duplicate columns in cols

1125:    Synopsis:
1126: #include <petscmat.h>
1127:    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1129:    Not Collective

1131:    Input Parameters:
1132: +  map   - the row mapping from local numbering to global numbering
1133: .  nrows - the number of rows indicated
1134: .  rows  - the indices of the rows (these values are mapped to the global values)
1135: .  cmap  - the column mapping from local to global numbering
1136: .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1137: .  cols  - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1138: .  dnz   - the array that will be passed to the matrix preallocation routines
1139: -  onz   - the other array passed to the matrix preallocation routines

1141:    Level: deprecated (since v3.19)

1143:    Notes:
1144:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1145:    the use of this routine

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

1149: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1150:           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1151: M*/
1152: #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1153:   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));)

1155: /*MC
1156:    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1157:    inserted using a local number of the rows and columns

1159:    Synopsis:
1160: #include <petscmat.h>
1161:    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1163:    Not Collective

1165:    Input Parameters:
1166: +  map   - the row mapping from local numbering to global numbering
1167: .  nrows - the number of rows indicated
1168: .  rows  - the indices of the rows
1169: .  cmap  - the column mapping from local to global numbering
1170: .  ncols - the number of columns in the matrix
1171: .  cols  - the columns indicated
1172: .  dnz   - the array that will be passed to the matrix preallocation routines
1173: -  onz   - the other array passed to the matrix preallocation routines

1175:    Level: deprecated (since v3.19)

1177:    Notes:
1178:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1179:    the use of this routine

1181:    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines

1183: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1184:           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1185: M*/
1186: #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1187:   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));)

1189: /*MC
1190:    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1191:    inserted using a local number of the rows and columns

1193:    Synopsis:
1194: #include <petscmat.h>
1195:    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1197:    Not Collective

1199:    Input Parameters:
1200: +  map   - the mapping between local numbering and global numbering
1201: .  nrows - the number of rows indicated
1202: .  rows  - the indices of the rows
1203: .  ncols - the number of columns in the matrix
1204: .  cols  - the columns indicated
1205: .  dnz   - the array that will be passed to the matrix preallocation routines
1206: -  onz   - the other array passed to the matrix preallocation routines

1208:    Level: deprecated (since v3.19)

1210:    Notes:
1211:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1212:    the use of this routine

1214:    Do not malloc or free `dnz` and `onz` that is handled internally by these routines

1216: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`
1217:           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1218: M*/
1219: #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1220:   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));)

1222: /*MC
1223:    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1224:    inserted using a local number of the rows and columns

1226:    Synopsis:
1227: #include <petscmat.h>
1228:    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1230:    Not Collective

1232:    Input Parameters:
1233: +  row   - the row
1234: .  ncols - the number of columns in the matrix
1235: -  cols  - the columns indicated

1237:    Output Parameters:
1238: +  dnz - the array that will be passed to the matrix preallocation routines
1239: -  onz - the other array passed to the matrix preallocation routines

1241:    Level: deprecated (since v3.19)

1243:    Notes:
1244:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1245:    the use of this routine

1247:    Do not malloc or free `dnz` and `onz` that is handled internally by these routines

1249:    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().

1251: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1252:           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1253: M*/
1254: #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1255:   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) { \
1256:     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1257:     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1258:   })

1260: /*MC
1261:    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1262:    inserted using a local number of the rows and columns

1264:    Synopsis:
1265: #include <petscmat.h>
1266:    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1268:    Not Collective

1270:    Input Parameters:
1271: +  nrows - the number of rows indicated
1272: .  rows  - the indices of the rows
1273: .  ncols - the number of columns in the matrix
1274: .  cols  - the columns indicated
1275: .  dnz   - the array that will be passed to the matrix preallocation routines
1276: -  onz   - the other array passed to the matrix preallocation routines

1278:    Level: deprecated (since v3.19)

1280:    Notes:
1281:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1282:    the use of this routine

1284:    Do not malloc or free `dnz` and `onz` that is handled internally by these routines

1286:    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().

1288: .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1289:           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1290: M*/
1291: #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1292:   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
1293:     if (cols[__i] >= __end) onz[row - __rstart]++; \
1294:     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1295:   })

1297: /*MC
1298:    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists

1300:    Synopsis:
1301: #include <petscmat.h>
1302:    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)

1304:    Not Collective

1306:    Input Parameters:
1307: +  A     - matrix
1308: .  row   - row where values exist (must be local to this process)
1309: .  ncols - number of columns
1310: .  cols  - columns with nonzeros
1311: .  dnz   - the array that will be passed to the matrix preallocation routines
1312: -  onz   - the other array passed to the matrix preallocation routines

1314:    Level: deprecated (since v3.19)

1316:    Notes:
1317:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1318:    the use of this routine

1320:    Do not malloc or free `dnz` and `onz` that is handled internally by these routines

1322:    Developer Note:
1323:    This is a MACRO, not a function, because it uses a bunch of variables private to the MatPreallocation.... routines.

1325: .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1326:           `MatPreallocateSymmetricSetLocalBlock()`
1327: M*/
1328: #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))

1330: /*MC
1331:    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1332:    row in a matrix providing the data that one can use to correctly preallocate the matrix.

1334:    Synopsis:
1335: #include <petscmat.h>
1336:    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)

1338:    Collective

1340:    Input Parameters:
1341: +  dnz - the array that was be passed to the matrix preallocation routines
1342: -  onz - the other array passed to the matrix preallocation routines

1344:    Level: deprecated (since v3.19)

1346:    Notes:
1347:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1348:    the use of this routine

1350:    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines

1352:    Developer Note:
1353:    This is a MACRO, not a function, because it closes the { started in MatPreallocateBegin().

1355: .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1356:           `MatPreallocateSymmetricSetLocalBlock()`
1357: M*/
1358: #define MatPreallocateEnd(dnz, onz) \
1359:   PetscCall(PetscFree2(dnz, onz)); \
1360:   } \
1361:   while (0)

1363: #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateEnd()", ) MatPreallocateEnd(__VA_ARGS__)

1365: /* Routines unique to particular data structures */
1366: PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, void *);

1368: PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1369: PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);

1371: PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1372: PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1373: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1374: PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1375: PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1376: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscInt, PetscBool);

1378: #define MAT_SKIP_ALLOCATION -4

1380: PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1381: PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1382: PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1383: PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);

1385: PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1386: PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1387: PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1388: PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1389: PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1390: PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1391: PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1392: PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1393: PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1394: PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1395: PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1396: PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1397: PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1398: PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1399: PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);

1401: PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1402: PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1403: PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatDenseSetLDA()", ) static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
1404: {
1405:   return MatDenseSetLDA(A, lda);
1406: }
1407: PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);

1409: PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);

1411: PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1412: PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);

1414: PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1415: PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1416: /*
1417:   These routines are not usually accessed directly, rather solving is
1418:   done through the KSP and PC interfaces.
1419: */

1421: /*J
1422:    MatOrderingType - String with the name of a PETSc matrix ordering. These orderings are most commonly used
1423:    to reduce fill in sparse factorizations.

1425:    Level: beginner

1427:    Notes:
1428:    If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and instead the external factorization solver package called utilizes one
1429:    of its own.

1431:    There is no `MatOrdering` object, the ordering is obtained directly from the matrix with `MatGetOrdering()`

1433:    Developer Note:
1434:    This API should be converted to an API similar to those for `MatColoring` and `MatPartitioning`

1436: .seealso: [](ch_matrices), [](sec_graph), `MatGetFactor()`, `MatGetOrdering()`, `MatColoringType`, `MatPartitioningType`, `MatCoarsenType`, `MatCoarsenType`,
1437:           `PCFactorSetOrderingType()`
1438: J*/
1439: typedef const char *MatOrderingType;
1440: #define MATORDERINGNATURAL       "natural"
1441: #define MATORDERINGND            "nd"
1442: #define MATORDERING1WD           "1wd"
1443: #define MATORDERINGRCM           "rcm"
1444: #define MATORDERINGQMD           "qmd"
1445: #define MATORDERINGROWLENGTH     "rowlength"
1446: #define MATORDERINGWBM           "wbm"
1447: #define MATORDERINGSPECTRAL      "spectral"
1448: #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1449: #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1450: #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 */
1451: #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */

1453: PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1454: PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1455: PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1456: PETSC_EXTERN PetscFunctionList MatOrderingList;

1458: #include "petscmatcoarsen.h"

1460: PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1461: PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);

1463: PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);

1465: /*S
1466:    MatFactorShiftType - Type of numeric shift used for factorizations

1468:    Values:
1469: +  `MAT_SHIFT_NONE`              - do not shift the matrix diagonal entries
1470: .  `MAT_SHIFT_NONZERO`           - shift the entries to be non-zero
1471: .  `MAT_SHIFT_POSITIVE_DEFINITE` - shift the entries to force the factorization to be positive definite
1472: -  `MAT_SHIFT_INBLOCKS`          - only shift the factors inside the small dense diagonal blocks of the matrix, for example with `MATBAIJ`

1474:    Level: intermediate

1476: .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `PCFactorSetShiftType()`
1477: S*/
1478: typedef enum {
1479:   MAT_SHIFT_NONE,
1480:   MAT_SHIFT_NONZERO,
1481:   MAT_SHIFT_POSITIVE_DEFINITE,
1482:   MAT_SHIFT_INBLOCKS
1483: } MatFactorShiftType;
1484: PETSC_EXTERN const char *const MatFactorShiftTypes[];
1485: PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];

1487: /*S
1488:     MatFactorError - indicates what type of error was generated in a matrix factorization

1490:     Values:
1491: +   `MAT_FACTOR_NOERROR`           - there was no error during the factorization
1492: .   `MAT_FACTOR_STRUCT_ZEROPIVOT`  - there was a missing entry in a diagonal location of the matrix
1493: .   `MAT_FACTOR_NUMERIC_ZEROPIVOT` - there was a (near) zero pivot during the factorization
1494: .   `MAT_FACTOR_OUTMEMORY`         - the factorization has run out of memory
1495: -   `MAT_FACTOR_OTHER`             - some other error has occurred.

1497:     Level: intermediate

1499:     Note:
1500:     When a factorization is done in a preconditioner `PC` the error may be propagated up to a `PCFailedReason` or a `KSPConvergedReason`

1502: .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `MatFactorGetError()`, `MatFactorGetErrorZeroPivot()`, `MatFactorClearError()`,
1503:           `PCFailedReason`, `PCGetFailedReason()`, `KSPConvergedReason`
1504: S*/
1505: typedef enum {
1506:   MAT_FACTOR_NOERROR,
1507:   MAT_FACTOR_STRUCT_ZEROPIVOT,
1508:   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1509:   MAT_FACTOR_OUTMEMORY,
1510:   MAT_FACTOR_OTHER
1511: } MatFactorError;

1513: PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1514: PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1515: PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);

1517: /*S
1518:    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization

1520:    Level: developer

1522:    Note:
1523:    You can use `MatFactorInfoInitialize()` to set default values.

1525:    Fortran Note:
1526:    The data is available in a double precision arrays of size `MAT_FACTORINFO_SIZE`

1528: .seealso: [](ch_matrices), `Mat`, `MatInfo`, `MatGetFactor()`, `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`,
1529:           `MatICCFactorSymbolic()`, `MatICCFactor()`, `MatFactorInfoInitialize()`
1530: S*/
1531: typedef struct {
1532:   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1533:   PetscReal usedt;
1534:   PetscReal dt;            /* drop tolerance */
1535:   PetscReal dtcol;         /* tolerance for pivoting */
1536:   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1537:   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1538:   PetscReal levels;        /* ICC/ILU(levels) */
1539:   PetscReal pivotinblocks; /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1540:                                    factorization may be faster if do not pivot */
1541:   PetscReal zeropivot;     /* pivot is called zero if less than this */
1542:   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1543:   PetscReal shiftamount;   /* how large the shift is */
1544: } MatFactorInfo;

1546: PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1547: PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1548: PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1549: PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1550: PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1551: PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1552: PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1553: PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1554: PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1555: PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1556: PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1557: PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1558: PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1559: PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1560: PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1561: PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1562: PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1563: PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1564: PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1565: PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1566: PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1567: PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1568: PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);

1570: typedef enum {
1571:   MAT_FACTOR_SCHUR_UNFACTORED,
1572:   MAT_FACTOR_SCHUR_FACTORED,
1573:   MAT_FACTOR_SCHUR_INVERTED
1574: } MatFactorSchurStatus;
1575: PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1576: PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1577: PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1578: PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1579: PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1580: PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1581: PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1582: PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);

1584: PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1585: /*E
1586:    MatSORType - What type of (S)SOR to perform

1588:    Values:
1589: +  `SOR_FORWARD_SWEEP`         - do a sweep from the first row of the matrix to the last
1590: .  `SOR_BACKWARD_SWEEP`        - do a sweep from the last row to the first
1591: .  `SOR_SYMMETRIC_SWEEP`       - do a sweep from the first row to the last and then back to the first
1592: .  `SOR_LOCAL_FORWARD_SWEEP`   - each MPI process does its own forward sweep with no communication
1593: .  `SOR_LOCAL_BACKWARD_SWEEP`  - each MPI process does its own backward sweep with no communication
1594: .  `SOR_LOCAL_SYMMETRIC_SWEEP` - each MPI process does its own symmetric sweep with no communication
1595: .  `SOR_ZERO_INITIAL_GUESS`    - indicates the initial solution is zero so the sweep can avoid unneeded computation
1596: .  `SOR_EISENSTAT`             - apply the Eisentat application of SOR, see `PCEISENSTAT`
1597: .  `SOR_APPLY_UPPER`           - multiply by the upper triangular portion of the matrix
1598: -  `SOR_APPLY_LOWER`           - multiply by the lower triangular portion of the matrix

1600:    Level: beginner

1602:    Note:
1603:    These may be bitwise ORd together

1605:    Developer Note:
1606:    Since `MatSORType` may be bitwise ORd together, so do not change the numerical values below

1608: .seealso: [](ch_matrices), `MatSOR()`
1609: E*/
1610: typedef enum {
1611:   SOR_FORWARD_SWEEP         = 1,
1612:   SOR_BACKWARD_SWEEP        = 2,
1613:   SOR_SYMMETRIC_SWEEP       = 3,
1614:   SOR_LOCAL_FORWARD_SWEEP   = 4,
1615:   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1616:   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1617:   SOR_ZERO_INITIAL_GUESS    = 16,
1618:   SOR_EISENSTAT             = 32,
1619:   SOR_APPLY_UPPER           = 64,
1620:   SOR_APPLY_LOWER           = 128
1621: } MatSORType;
1622: PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);

1624: /*S
1625:    MatColoring - Object for managing the coloring of matrices.

1627:    Level: beginner

1629:    Notes:
1630:    Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1631:    matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).

1633:    Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1634:    same object can also be used to efficiently convert data created by Automatic Differentiation tools to PETSc sparse matrices.

1636: .seealso: [](ch_matrices), [](sec_graph), `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`,
1637:           `MatPartitioning`, `MatColoringType`, `MatPartitioningType`, `MatOrderingType`, `MatColoringSetWeightType()`,
1638:           `MatColoringSetWeights()`, `MatCoarsenType`, `MatCoarsen`
1639: S*/
1640: typedef struct _p_MatColoring *MatColoring;

1642: /*J
1643:    MatColoringType - String with the name of a PETSc matrix coloring

1645:    Level: beginner

1647: .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatFDColoringCreate()`, `MatColoringSetType()`, `MatColoring`
1648: J*/
1649: typedef const char *MatColoringType;
1650: #define MATCOLORINGJP      "jp"
1651: #define MATCOLORINGPOWER   "power"
1652: #define MATCOLORINGNATURAL "natural"
1653: #define MATCOLORINGSL      "sl"
1654: #define MATCOLORINGLF      "lf"
1655: #define MATCOLORINGID      "id"
1656: #define MATCOLORINGGREEDY  "greedy"

1658: /*E
1659:    MatColoringWeightType - Type of weight scheme used for the coloring algorithm

1661:    Values:
1662: +  `MAT_COLORING_RANDOM`  - Random weights
1663: .  `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1664: -  `MAT_COLORING_LF`      - Last-first weighting.

1666:     Level: intermediate

1668: .seealso: [](ch_matrices), `MatColoring`, `MatColoringCreate()`, `MatColoringSetWeightType()`, `MatColoringSetWeights()`
1669: E*/
1670: typedef enum {
1671:   MAT_COLORING_WEIGHT_RANDOM,
1672:   MAT_COLORING_WEIGHT_LEXICAL,
1673:   MAT_COLORING_WEIGHT_LF,
1674:   MAT_COLORING_WEIGHT_SL
1675: } MatColoringWeightType;

1677: PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1678: PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1679: PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1680: PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1681: PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1682: PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1683: PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1684: PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1685: PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1686: PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1687: PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1688: PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1689: PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1690: PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1691: PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1692: PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1693: PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1694: PETSC_DEPRECATED_FUNCTION(3, 10, 0, "MatColoringTest()", ) static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
1695: {
1696:   return MatColoringTest(matcoloring, iscoloring);
1697: }
1698: PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);

1700: /*S
1701:    MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring

1703:    Level: beginner

1705:    Notes:
1706:    This object is creating utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`

1708:    The `SNES` option `-snes_fd_coloring` will cause the Jacobian needed by `SNES` to be computed via a use of this object

1710: .seealso: [](ch_matrices), `Mat`, `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1711: S*/
1712: typedef struct _p_MatFDColoring *MatFDColoring;

1714: PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1715: PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1716: PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1717: PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, PetscErrorCode (*)(void), void *);
1718: PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, PetscErrorCode (**)(void), void **);
1719: PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1720: PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1721: PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1722: PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1723: PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1724: PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1725: PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1726: PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);

1728: /*S
1729:    MatTransposeColoring - Object for computing a sparse matrix product $C = A*B^T$ via coloring

1731:    Level: developer

1733: .seealso: [](ch_matrices), `Mat`, `MatProductType`, `MatTransposeColoringCreate()`
1734: S*/
1735: typedef struct _p_MatTransposeColoring *MatTransposeColoring;

1737: PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1738: PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1739: PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1740: PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);

1742: /*S
1743:    MatPartitioning - Object for managing the partitioning of a matrix or graph

1745:    Level: beginner

1747:    Note:
1748:    There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1749:    via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)

1751:    Developer Note:
1752:    It is an extra maintenance and documentation cost to have two objects with the same functionality. `PetscPartitioner` should be removed

1754: .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`, `MatOrderingType`,
1755:           `MatCoarsenType`, `MatCoarsenType`
1756: S*/
1757: typedef struct _p_MatPartitioning *MatPartitioning;

1759: /*J
1760:     MatPartitioningType - String with the name of a PETSc matrix partitioning

1762:    Level: beginner
1763: dm
1764: .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`, `MatColoringType`, `MatOrderingType`,
1765:           `MatCoarsenType`, `MatCoarsenType`
1766: J*/
1767: typedef const char *MatPartitioningType;
1768: #define MATPARTITIONINGCURRENT  "current"
1769: #define MATPARTITIONINGAVERAGE  "average"
1770: #define MATPARTITIONINGSQUARE   "square"
1771: #define MATPARTITIONINGPARMETIS "parmetis"
1772: #define MATPARTITIONINGCHACO    "chaco"
1773: #define MATPARTITIONINGPARTY    "party"
1774: #define MATPARTITIONINGPTSCOTCH "ptscotch"
1775: #define MATPARTITIONINGHIERARCH "hierarch"

1777: PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1778: PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1779: PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1780: PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1781: PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1782: PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1783: PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1784: PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1785: PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1786: PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1787: PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1788: PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1789: PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1790: PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1791: PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1792: PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1793: PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1794: PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1795: PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);

1797: PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1798: PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1799: PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);

1801: typedef enum {
1802:   MP_CHACO_MULTILEVEL = 1,
1803:   MP_CHACO_SPECTRAL   = 2,
1804:   MP_CHACO_LINEAR     = 4,
1805:   MP_CHACO_RANDOM     = 5,
1806:   MP_CHACO_SCATTERED  = 6
1807: } MPChacoGlobalType;
1808: PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1809: typedef enum {
1810:   MP_CHACO_KERNIGHAN = 1,
1811:   MP_CHACO_NONE      = 2
1812: } MPChacoLocalType;
1813: PETSC_EXTERN const char *const MPChacoLocalTypes[];
1814: typedef enum {
1815:   MP_CHACO_LANCZOS = 0,
1816:   MP_CHACO_RQI     = 1
1817: } MPChacoEigenType;
1818: PETSC_EXTERN const char *const MPChacoEigenTypes[];

1820: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1821: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1822: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1823: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1824: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1825: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1826: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1827: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1828: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1829: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1830: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);

1832: #define MP_PARTY_OPT "opt"
1833: #define MP_PARTY_LIN "lin"
1834: #define MP_PARTY_SCA "sca"
1835: #define MP_PARTY_RAN "ran"
1836: #define MP_PARTY_GBF "gbf"
1837: #define MP_PARTY_GCF "gcf"
1838: #define MP_PARTY_BUB "bub"
1839: #define MP_PARTY_DEF "def"
1840: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1841: #define MP_PARTY_HELPFUL_SETS  "hs"
1842: #define MP_PARTY_KERNIGHAN_LIN "kl"
1843: #define MP_PARTY_NONE          "no"
1844: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1845: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1846: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1847: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);

1849: typedef enum {
1850:   MP_PTSCOTCH_DEFAULT,
1851:   MP_PTSCOTCH_QUALITY,
1852:   MP_PTSCOTCH_SPEED,
1853:   MP_PTSCOTCH_BALANCE,
1854:   MP_PTSCOTCH_SAFETY,
1855:   MP_PTSCOTCH_SCALABILITY
1856: } MPPTScotchStrategyType;
1857: PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];

1859: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1860: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1861: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1862: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);

1864: /*
1865:  * hierarchical partitioning
1866:  */
1867: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1868: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1869: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1870: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);

1872: PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);

1874: /*
1875:     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1876:     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1877: */
1878: typedef enum {
1879:   MATOP_SET_VALUES               = 0,
1880:   MATOP_GET_ROW                  = 1,
1881:   MATOP_RESTORE_ROW              = 2,
1882:   MATOP_MULT                     = 3,
1883:   MATOP_MULT_ADD                 = 4,
1884:   MATOP_MULT_TRANSPOSE           = 5,
1885:   MATOP_MULT_TRANSPOSE_ADD       = 6,
1886:   MATOP_SOLVE                    = 7,
1887:   MATOP_SOLVE_ADD                = 8,
1888:   MATOP_SOLVE_TRANSPOSE          = 9,
1889:   MATOP_SOLVE_TRANSPOSE_ADD      = 10,
1890:   MATOP_LUFACTOR                 = 11,
1891:   MATOP_CHOLESKYFACTOR           = 12,
1892:   MATOP_SOR                      = 13,
1893:   MATOP_TRANSPOSE                = 14,
1894:   MATOP_GETINFO                  = 15,
1895:   MATOP_EQUAL                    = 16,
1896:   MATOP_GET_DIAGONAL             = 17,
1897:   MATOP_DIAGONAL_SCALE           = 18,
1898:   MATOP_NORM                     = 19,
1899:   MATOP_ASSEMBLY_BEGIN           = 20,
1900:   MATOP_ASSEMBLY_END             = 21,
1901:   MATOP_SET_OPTION               = 22,
1902:   MATOP_ZERO_ENTRIES             = 23,
1903:   MATOP_ZERO_ROWS                = 24,
1904:   MATOP_LUFACTOR_SYMBOLIC        = 25,
1905:   MATOP_LUFACTOR_NUMERIC         = 26,
1906:   MATOP_CHOLESKY_FACTOR_SYMBOLIC = 27,
1907:   MATOP_CHOLESKY_FACTOR_NUMERIC  = 28,
1908:   MATOP_SETUP                    = 29,
1909:   MATOP_ILUFACTOR_SYMBOLIC       = 30,
1910:   MATOP_ICCFACTOR_SYMBOLIC       = 31,
1911:   MATOP_GET_DIAGONAL_BLOCK       = 32,
1912:   MATOP_SET_INF                  = 33,
1913:   MATOP_DUPLICATE                = 34,
1914:   MATOP_FORWARD_SOLVE            = 35,
1915:   MATOP_BACKWARD_SOLVE           = 36,
1916:   MATOP_ILUFACTOR                = 37,
1917:   MATOP_ICCFACTOR                = 38,
1918:   MATOP_AXPY                     = 39,
1919:   MATOP_CREATE_SUBMATRICES       = 40,
1920:   MATOP_INCREASE_OVERLAP         = 41,
1921:   MATOP_GET_VALUES               = 42,
1922:   MATOP_COPY                     = 43,
1923:   MATOP_GET_ROW_MAX              = 44,
1924:   MATOP_SCALE                    = 45,
1925:   MATOP_SHIFT                    = 46,
1926:   MATOP_DIAGONAL_SET             = 47,
1927:   MATOP_ZERO_ROWS_COLUMNS        = 48,
1928:   MATOP_SET_RANDOM               = 49,
1929:   MATOP_GET_ROW_IJ               = 50,
1930:   MATOP_RESTORE_ROW_IJ           = 51,
1931:   MATOP_GET_COLUMN_IJ            = 52,
1932:   MATOP_RESTORE_COLUMN_IJ        = 53,
1933:   MATOP_FDCOLORING_CREATE        = 54,
1934:   MATOP_COLORING_PATCH           = 55,
1935:   MATOP_SET_UNFACTORED           = 56,
1936:   MATOP_PERMUTE                  = 57,
1937:   MATOP_SET_VALUES_BLOCKED       = 58,
1938:   MATOP_CREATE_SUBMATRIX         = 59,
1939:   MATOP_DESTROY                  = 60,
1940:   MATOP_VIEW                     = 61,
1941:   MATOP_CONVERT_FROM             = 62,
1942:   /* MATOP_PLACEHOLDER_63=63 */
1943:   MATOP_MATMAT_MULT_SYMBOLIC    = 64,
1944:   MATOP_MATMAT_MULT_NUMERIC     = 65,
1945:   MATOP_SET_LOCAL_TO_GLOBAL_MAP = 66,
1946:   MATOP_SET_VALUES_LOCAL        = 67,
1947:   MATOP_ZERO_ROWS_LOCAL         = 68,
1948:   MATOP_GET_ROW_MAX_ABS         = 69,
1949:   MATOP_GET_ROW_MIN_ABS         = 70,
1950:   MATOP_CONVERT                 = 71,
1951:   MATOP_HAS_OPERATION           = 72,
1952:   /* MATOP_PLACEHOLDER_73=73, */
1953:   MATOP_SET_VALUES_ADIFOR = 74,
1954:   MATOP_FD_COLORING_APPLY = 75,
1955:   MATOP_SET_FROM_OPTIONS  = 76,
1956:   /* MATOP_PLACEHOLDER_77=77, */
1957:   /* MATOP_PLACEHOLDER_78=78, */
1958:   MATOP_FIND_ZERO_DIAGONALS       = 79,
1959:   MATOP_MULT_MULTIPLE             = 80,
1960:   MATOP_SOLVE_MULTIPLE            = 81,
1961:   MATOP_GET_INERTIA               = 82,
1962:   MATOP_LOAD                      = 83,
1963:   MATOP_IS_SYMMETRIC              = 84,
1964:   MATOP_IS_HERMITIAN              = 85,
1965:   MATOP_IS_STRUCTURALLY_SYMMETRIC = 86,
1966:   MATOP_SET_VALUES_BLOCKEDLOCAL   = 87,
1967:   MATOP_CREATE_VECS               = 88,
1968:   /* MATOP_PLACEHOLDER_89=89, */
1969:   MATOP_MAT_MULT_SYMBOLIC = 90,
1970:   MATOP_MAT_MULT_NUMERIC  = 91,
1971:   /* MATOP_PLACEHOLDER_92=92, */
1972:   MATOP_PTAP_SYMBOLIC = 93,
1973:   MATOP_PTAP_NUMERIC  = 94,
1974:   /* MATOP_PLACEHOLDER_95=95, */
1975:   MATOP_MAT_TRANSPOSE_MULT_SYMBO = 96,
1976:   MATOP_MAT_TRANSPOSE_MULT_NUMER = 97,
1977:   MATOP_BIND_TO_CPU              = 98,
1978:   MATOP_PRODUCTSETFROMOPTIONS    = 99,
1979:   MATOP_PRODUCTSYMBOLIC          = 100,
1980:   MATOP_PRODUCTNUMERIC           = 101,
1981:   MATOP_CONJUGATE                = 102,
1982:   MATOP_VIEW_NATIVE              = 103,
1983:   MATOP_SET_VALUES_ROW           = 104,
1984:   MATOP_REAL_PART                = 105,
1985:   MATOP_IMAGINARY_PART           = 106,
1986:   MATOP_GET_ROW_UPPER_TRIANGULAR = 107,
1987:   MATOP_RESTORE_ROW_UPPER_TRIANG = 108,
1988:   MATOP_MAT_SOLVE                = 109,
1989:   MATOP_MAT_SOLVE_TRANSPOSE      = 110,
1990:   MATOP_GET_ROW_MIN              = 111,
1991:   MATOP_GET_COLUMN_VECTOR        = 112,
1992:   MATOP_MISSING_DIAGONAL         = 113,
1993:   MATOP_GET_SEQ_NONZERO_STRUCTUR = 114,
1994:   MATOP_CREATE                   = 115,
1995:   MATOP_GET_GHOSTS               = 116,
1996:   MATOP_GET_LOCAL_SUB_MATRIX     = 117,
1997:   MATOP_RESTORE_LOCALSUB_MATRIX  = 118,
1998:   MATOP_MULT_DIAGONAL_BLOCK      = 119,
1999:   MATOP_HERMITIAN_TRANSPOSE      = 120,
2000:   MATOP_MULT_HERMITIAN_TRANSPOSE = 121,
2001:   MATOP_MULT_HERMITIAN_TRANS_ADD = 122,
2002:   MATOP_GET_MULTI_PROC_BLOCK     = 123,
2003:   MATOP_FIND_NONZERO_ROWS        = 124,
2004:   MATOP_GET_COLUMN_NORMS         = 125,
2005:   MATOP_INVERT_BLOCK_DIAGONAL    = 126,
2006:   MATOP_INVERT_VBLOCK_DIAGONAL   = 127,
2007:   MATOP_CREATE_SUB_MATRICES_MPI  = 128,
2008:   MATOP_SET_VALUES_BATCH         = 129,
2009:   /* MATOP_PLACEHOLDER_130=130, */
2010:   MATOP_TRANSPOSE_MAT_MULT_SYMBO = 131,
2011:   MATOP_TRANSPOSE_MAT_MULT_NUMER = 132,
2012:   MATOP_TRANSPOSE_COLORING_CREAT = 133,
2013:   MATOP_TRANS_COLORING_APPLY_SPT = 134,
2014:   MATOP_TRANS_COLORING_APPLY_DEN = 135,
2015:   /* MATOP_PLACEHOLDER_136=136, */
2016:   MATOP_RART_SYMBOLIC         = 137,
2017:   MATOP_RART_NUMERIC          = 138,
2018:   MATOP_SET_BLOCK_SIZES       = 139,
2019:   MATOP_AYPX                  = 140,
2020:   MATOP_RESIDUAL              = 141,
2021:   MATOP_FDCOLORING_SETUP      = 142,
2022:   MATOP_FIND_OFFBLOCK_ENTRIES = 143,
2023:   MATOP_MPICONCATENATESEQ     = 144,
2024:   MATOP_DESTROYSUBMATRICES    = 145,
2025:   MATOP_MAT_TRANSPOSE_SOLVE   = 146,
2026:   MATOP_GET_VALUES_LOCAL      = 147,
2027:   MATOP_CREATE_GRAPH          = 148,
2028:   /* MATOP_PLACEHOLDER_149=149, */
2029:   MATOP_TRANSPOSE_SYMBOLIC  = 150,
2030:   MATOP_ELIMINATE_ZEROS     = 151,
2031:   MATOP_GET_ROW_SUM_ABS     = 152,
2032:   MATOP_GET_FACTOR          = 153,
2033:   MATOP_GET_BLOCK_DIAGONAL  = 154, // NOTE: caller of the two op functions owns the returned matrix
2034:   MATOP_GET_VBLOCK_DIAGONAL = 155  // and need to destroy it after use.
2035: } MatOperation;
2036: PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, void (*)(void));
2037: PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, void (**)(void));
2038: PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
2039: PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
2040: PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatProductClear()", ) static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
2041: {
2042:   return MatProductClear(A);
2043: }
2044: PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, void (*)(void));
2045: PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, void (**)(void));
2046: PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, void *);
2047: PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscErrorCode (*)(void *));
2048: PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
2049: PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2050: PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2051: PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
2052: PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscErrorCode (*)(void *), MatType, MatType);
2053: PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);

2055: /*
2056:    Codes for matrices stored on disk. By default they are
2057:    stored in a universal format. By changing the format with
2058:    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
2059:    be stored in a way natural for the matrix, for example dense matrices
2060:    would be stored as dense. Matrices stored this way may only be
2061:    read into matrices of the same type.
2062: */
2063: #define MATRIX_BINARY_FORMAT_DENSE -1

2065: PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);

2067: PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
2068: PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
2069: PETSC_EXTERN PetscErrorCode MatISSetAllowRepeated(Mat, PetscBool);
2070: PETSC_EXTERN PetscErrorCode MatISGetAllowRepeated(Mat, PetscBool *);
2071: PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
2072: PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
2073: PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
2074: PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
2075: PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
2076: PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);

2078: /*S
2079:    MatNullSpace - Object that removes a null space from a vector, i.e.
2080:                   orthogonalizes the vector to a subspace

2082:    Level: advanced

2084: .seealso: [](ch_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2085: S*/
2086: typedef struct _p_MatNullSpace *MatNullSpace;

2088: PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
2089: PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, PetscErrorCode (*)(MatNullSpace, Vec, void *), void *);
2090: PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
2091: PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
2092: PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
2093: PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
2094: PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
2095: PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
2096: PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
2097: PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
2098: PETSC_EXTERN PetscErrorCode MatGetNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2099: PETSC_EXTERN PetscErrorCode MatRestoreNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2100: PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
2101: PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
2102: PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
2103: PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);

2105: PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
2106: PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
2107: PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);

2109: PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
2110: PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
2111: PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);

2113: PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
2114: PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);

2116: PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperator()", ) static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
2117: {
2118:   return MatComputeOperator(A, PETSC_NULLPTR, B);
2119: }
2120: PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperatorTranspose()", ) static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
2121: {
2122:   return MatComputeOperatorTranspose(A, PETSC_NULLPTR, B);
2123: }

2125: PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
2126: PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
2127: PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
2128: PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2129: PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
2130: PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
2131: PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
2132: PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2133: PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
2134: PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
2135: PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
2136: PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
2137: PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
2138: PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);

2140: PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);

2142: PETSC_EXTERN PetscErrorCode MatMFFDInitializePackage(void);
2143: PETSC_EXTERN PetscErrorCode MatMFFDFinalizePackage(void);

2145: PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2146: PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
2147: PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, PetscErrorCode (*)(void *, Vec, Vec), void *);
2148: PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, PetscErrorCode (*)(void *, PetscInt, Vec, PetscScalar *));
2149: PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, PetscErrorCode (*)(void *, Vec));
2150: PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
2151: PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
2152: PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
2153: PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
2154: PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
2155: PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
2156: PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
2157: PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, PetscErrorCode (*)(void *, Vec, Vec, PetscScalar *), void *);

2159: /*S
2160:     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2161:               Jacobian vector products

2163:     Level: developer

2165:     Notes:
2166:     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure

2168:      MatMFFD*() methods actually take the `Mat` as their first argument. Not a `MatMFFD` data structure

2170:     This functionality is often obtained using `MatCreateSNESMF()` or with `SNES` solvers using `-snes_mf` or `-snes_mf_operator`

2172: .seealso: [](ch_matrices), `MatMFFDType`, `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`,
2173:           `MatCreateSNESMF()`, `SNES`, `-snes_mf`, `-snes_mf_operator`
2174: S*/
2175: typedef struct _p_MatMFFD *MatMFFD;

2177: /*J
2178:    MatMFFDType - algorithm used to compute the `h` used in computing matrix-vector products via differencing of a function

2180:    Values:
2181: +   `MATMFFD_DS` - an algorithm described by Dennis and Schnabel {cite}`dennis:83`
2182: -   `MATMFFD_WP` - the Walker-Pernice {cite}`pw98` strategy.

2184:    Level: beginner

2186: .seealso: [](ch_matrices), `MatMFFDSetType()`, `MatMFFDRegister()`, `MatMFFDSetFunction()`, `MatCreateMFFD()`
2187: J*/
2188: typedef const char *MatMFFDType;
2189: #define MATMFFD_DS "ds"
2190: #define MATMFFD_WP "wp"

2192: PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2193: PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));

2195: PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2196: PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);

2198: PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);

2200: PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2201: PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);

2203: #ifdef PETSC_HAVE_H2OPUS
2204: PETSC_EXTERN_TYPEDEF typedef PetscScalar(MatH2OpusKernelFn)(PetscInt, PetscReal[], PetscReal[], void *);
2205: PETSC_EXTERN_TYPEDEF typedef MatH2OpusKernelFn *MatH2OpusKernel;

2207: PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernelFn *, void *, PetscReal, PetscInt, PetscInt, Mat *);
2208: PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2209: PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2210: PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
2211: PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat, PetscReal);
2212: PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat, PetscBool);
2213: PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat, PetscBool *);
2214: PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat, IS *);
2215: PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2216: PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2217: #endif

2219: #ifdef PETSC_HAVE_HTOOL
2220: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(MatHtoolKernelFn)(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2221: PETSC_EXTERN_TYPEDEF typedef MatHtoolKernelFn *MatHtoolKernel;

2223: PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernelFn *, void *, Mat *);
2224: PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat, MatHtoolKernelFn *, void *);
2225: PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat, IS *);
2226: PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat, IS *);
2227: PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat, PetscBool);

2229: /*E
2230:    MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`

2232:    Values:
2233: +  `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2234: .  `MAT_HTOOL_COMPRESSOR_FULL_ACA`                 - full adaptive cross approximation
2235: -  `MAT_HTOOL_COMPRESSOR_SVD`                      - singular value decomposition

2237:    Level: intermediate

2239: .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2240: E*/
2241: typedef enum {
2242:   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2243:   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2244:   MAT_HTOOL_COMPRESSOR_SVD
2245: } MatHtoolCompressorType;

2247: /*E
2248:    MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`

2250:    Values:
2251: +  `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default)    - axis computed via principle component analysis, split uniformly
2252: .  `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC`            - axis computed via principle component analysis, split barycentrically
2253: .  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR`   - axis along the largest extent of the bounding box, split uniformly
2254: -  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically

2256:    Level: intermediate

2258:    Note:
2259:    Higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types

2261: .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2262: E*/
2263: typedef enum {
2264:   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2265:   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2266:   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2267:   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2268: } MatHtoolClusteringType;
2269: #endif

2271: #ifdef PETSC_HAVE_MUMPS
2272: PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2273: PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2274: PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2275: PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);

2277: PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2278: PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2279: PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2280: PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2281: PETSC_EXTERN PetscErrorCode MatMumpsGetNullPivots(Mat, PetscInt *, PetscInt **);
2282: PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2283: PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2284: #endif

2286: #ifdef PETSC_HAVE_MKL_PARDISO
2287: PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2288: #endif

2290: #ifdef PETSC_HAVE_MKL_CPARDISO
2291: PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2292: #endif

2294: #ifdef PETSC_HAVE_SUPERLU
2295: PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2296: #endif

2298: #ifdef PETSC_HAVE_SUPERLU_DIST
2299: PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2300: #endif

2302: #ifdef PETSC_HAVE_STRUMPACK
2303: /*E
2304:     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `MATSOLVERSTRUMPACK`

2306:     Values:
2307: +  `MAT_STRUMPACK_NATURAL`   - use the current ordering
2308: .  `MAT_STRUMPACK_METIS`     - use MeTis to compute an ordering
2309: .  `MAT_STRUMPACK_PARMETIS`  - use ParMeTis to compute an ordering
2310: .  `MAT_STRUMPACK_SCOTCH`    - use Scotch to compute an ordering
2311: .  `MAT_STRUMPACK_PTSCOTCH`  - use parallel Scotch to compute an ordering
2312: .  `MAT_STRUMPACK_RCM`       - use an RCM ordering
2313: .  `MAT_STRUMPACK_GEOMETRIC` - use a geometric ordering (needs mesh info from user)
2314: .  `MAT_STRUMPACK_AMD`       - approximate minimum degree
2315: .  `MAT_STRUMPACK_MMD`       - multiple minimum degree
2316: .  `MAT_STRUMPACK_AND`       - approximate nested dissection
2317: .  `MAT_STRUMPACK_MLF`       - minimum local fill
2318: -  `MAT_STRUMPACK_SPECTRAL`  - spectral nested dissection

2320:     Level: intermediate

2322:     Developer Note:
2323:     Should be called `MatSTRUMPACKReorderingType`

2325: .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetReordering()`
2326: E*/
2327: typedef enum {
2328:   MAT_STRUMPACK_NATURAL,
2329:   MAT_STRUMPACK_METIS,
2330:   MAT_STRUMPACK_PARMETIS,
2331:   MAT_STRUMPACK_SCOTCH,
2332:   MAT_STRUMPACK_PTSCOTCH,
2333:   MAT_STRUMPACK_RCM,
2334:   MAT_STRUMPACK_GEOMETRIC,
2335:   MAT_STRUMPACK_AMD,
2336:   MAT_STRUMPACK_MMD,
2337:   MAT_STRUMPACK_AND,
2338:   MAT_STRUMPACK_MLF,
2339:   MAT_STRUMPACK_SPECTRAL
2340: } MatSTRUMPACKReordering;

2342: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2343: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetReordering(Mat, MatSTRUMPACKReordering *);
2344: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricNxyz(Mat, PetscInt, PetscInt, PetscInt);
2345: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricComponents(Mat, PetscInt);
2346: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricWidth(Mat, PetscInt);
2347: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2348: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetColPerm(Mat, PetscBool *);
2349: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGPU(Mat, PetscBool);
2350: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetGPU(Mat, PetscBool *);

2352: /*E
2353:     MatSTRUMPACKCompressionType - Compression used in the approximate sparse factorization solver `MATSOLVERSTRUMPACK`

2355:     Values:
2356: +  `MAT_STRUMPACK_COMPRESSION_TYPE_NONE`          - no compression, direct solver
2357: .  `MAT_STRUMPACK_COMPRESSION_TYPE_HSS`           - hierarchically semi-separable
2358: .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR`           - block low rank
2359: .  `MAT_STRUMPACK_COMPRESSION_TYPE_HODLR`         - hierarchically off-diagonal low rank (requires ButterfyPACK support, configure with --download-butterflypack)
2360: .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR`     - hybrid of BLR and HODLR (requires ButterfyPACK support, configure with --download-butterflypack)
2361: .  `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)
2362: .  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS`      - lossless compression (requires ZFP support, configure with --download-zfp)
2363: -  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY`         - lossy compression (requires ZFP support, configure with --download-zfp)

2365:     Level: intermediate

2367: .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetCompression()`
2368: E*/
2369: typedef enum {
2370:   MAT_STRUMPACK_COMPRESSION_TYPE_NONE,
2371:   MAT_STRUMPACK_COMPRESSION_TYPE_HSS,
2372:   MAT_STRUMPACK_COMPRESSION_TYPE_BLR,
2373:   MAT_STRUMPACK_COMPRESSION_TYPE_HODLR,
2374:   MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR,
2375:   MAT_STRUMPACK_COMPRESSION_TYPE_ZFP_BLR_HODLR,
2376:   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS,
2377:   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY
2378: } MatSTRUMPACKCompressionType;

2380: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompression(Mat, MatSTRUMPACKCompressionType);
2381: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompression(Mat, MatSTRUMPACKCompressionType *);
2382: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompRelTol(Mat, PetscReal);
2383: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompRelTol(Mat, PetscReal *);
2384: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompAbsTol(Mat, PetscReal);
2385: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompAbsTol(Mat, PetscReal *);
2386: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompMinSepSize(Mat, PetscInt);
2387: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompMinSepSize(Mat, PetscInt *);
2388: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLeafSize(Mat, PetscInt);
2389: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLeafSize(Mat, PetscInt *);
2390: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLossyPrecision(Mat, PetscInt);
2391: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLossyPrecision(Mat, PetscInt *);
2392: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompButterflyLevels(Mat, PetscInt);
2393: PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompButterflyLevels(Mat, PetscInt *);
2394: #endif

2396: PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2397: PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2398: PETSC_DEPRECATED_FUNCTION(3, 13, 0, "MatBindToCPU()", ) static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2399: {
2400:   return MatBindToCPU(A, flg);
2401: }
2402: PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2403: PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);

2405: #ifdef PETSC_HAVE_CUDA
2406: /*E
2407:     MatCUSPARSEStorageFormat - indicates the storage format for `MATAIJCUSPARSE` (GPU)
2408:     matrices.

2410:     Values:
2411: +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2412: .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2413: -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).

2415:     Level: intermediate

2417: .seealso: [](ch_matrices), `MATAIJCUSPARSE`, `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2418: E*/

2420: typedef enum {
2421:   MAT_CUSPARSE_CSR,
2422:   MAT_CUSPARSE_ELL,
2423:   MAT_CUSPARSE_HYB
2424: } MatCUSPARSEStorageFormat;

2426: /* these will be strings associated with enumerated type defined above */
2427: PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];

2429: /*E
2430:     MatCUSPARSEFormatOperation - indicates the operation of `MATAIJCUSPARSE` (GPU)
2431:     matrices whose operation should use a particular storage format.

2433:     Values:
2434: +   `MAT_CUSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2435: .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2436: .   `MAT_CUSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2437: -   `MAT_CUSPARSE_ALL`          - sets the storage format for all `MATAIJCUSPARSE` (GPU) matrices

2439:     Level: intermediate

2441: .seealso: [](ch_matrices), `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2442: E*/
2443: typedef enum {
2444:   MAT_CUSPARSE_MULT_DIAG,
2445:   MAT_CUSPARSE_MULT_OFFDIAG,
2446:   MAT_CUSPARSE_MULT,
2447:   MAT_CUSPARSE_ALL
2448: } MatCUSPARSEFormatOperation;

2450: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2451: PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2452: PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2453: PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2454: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2455: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2456: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2457: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2458: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2459: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2460: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2461: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);

2463: PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2464: PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2465: PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2466: PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2467: PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2468: PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2469: PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2470: PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2471: PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2472: PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2473: PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2474: PETSC_EXTERN PetscErrorCode MatDenseCUDASetPreallocation(Mat, PetscScalar *);

2476: PETSC_EXTERN PetscErrorCode MatCreateSeqSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2477: PETSC_EXTERN PetscErrorCode MatCreateSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2478: #endif

2480: #ifdef PETSC_HAVE_HIP
2481: /*E
2482:     MatHIPSPARSEStorageFormat - indicates the storage format for `MATAIJHIPSPARSE` (GPU)
2483:     matrices.

2485:     Values:
2486: +   `MAT_HIPSPARSE_CSR` - Compressed Sparse Row
2487: .   `MAT_HIPSPARSE_ELL` - Ellpack
2488: -   `MAT_HIPSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format

2490:     Level: intermediate

2492: .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
2493: E*/

2495: typedef enum {
2496:   MAT_HIPSPARSE_CSR,
2497:   MAT_HIPSPARSE_ELL,
2498:   MAT_HIPSPARSE_HYB
2499: } MatHIPSPARSEStorageFormat;

2501: /* these will be strings associated with enumerated type defined above */
2502: PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];

2504: /*E
2505:     MatHIPSPARSEFormatOperation - indicates the operation of `MATAIJHIPSPARSE` (GPU)
2506:     matrices whose operation should use a particular storage format.

2508:     Values:
2509: +   `MAT_HIPSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2510: .   `MAT_HIPSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2511: .   `MAT_HIPSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2512: -   `MAT_HIPSPARSE_ALL`          - sets the storage format for all HIPSPARSE (GPU) matrices

2514:     Level: intermediate

2516: .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
2517: E*/
2518: typedef enum {
2519:   MAT_HIPSPARSE_MULT_DIAG,
2520:   MAT_HIPSPARSE_MULT_OFFDIAG,
2521:   MAT_HIPSPARSE_MULT,
2522:   MAT_HIPSPARSE_ALL
2523: } MatHIPSPARSEFormatOperation;

2525: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2526: PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2527: PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
2528: PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
2529: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2530: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2531: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
2532: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
2533: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
2534: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
2535: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
2536: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);

2538: PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2539: PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2540: PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
2541: PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
2542: PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
2543: PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
2544: PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
2545: PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
2546: PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
2547: PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
2548: PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);
2549: PETSC_EXTERN PetscErrorCode MatDenseHIPSetPreallocation(Mat, PetscScalar *);
2550: PETSC_EXTERN PetscErrorCode MatCreateSeqSELLHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2551: PETSC_EXTERN PetscErrorCode MatCreateSELLHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2552: #endif

2554: #if defined(PETSC_HAVE_VIENNACL)
2555: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2556: PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2557: #endif

2559: #if PetscDefined(HAVE_KOKKOS)
2560: PETSC_EXTERN PetscErrorCode MatCreateAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2561: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2562: #endif

2564: #if defined(PETSC_HAVE_FFTW)
2565: PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2566: PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2567: PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2568: #endif

2570: #if defined(PETSC_HAVE_SCALAPACK)
2571: PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2572: PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2573: PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2574: #endif

2576: PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2577: PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2578: PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2579: PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2580: PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2581: PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2582: PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2583: PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2584: PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);

2586: PETSC_EXTERN PetscErrorCode MatFilter(Mat, PetscReal, PetscBool, PetscBool);
2587: PETSC_DEPRECATED_FUNCTION(3, 20, 0, "MatFilter()", ) static inline PetscErrorCode MatChop(Mat A, PetscReal tol)
2588: {
2589:   return MatFilter(A, tol, PETSC_FALSE, PETSC_FALSE);
2590: }
2591: PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);

2593: PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);

2595: PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);

2597: PETSC_EXTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2598: PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);

2600: PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);

2602: PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, PetscInt, PetscInt[], Mat *);
2603: PETSC_EXTERN PetscErrorCode MatEliminateZeros(Mat, PetscBool);

2605: PETSC_EXTERN PetscErrorCode MatCreateDenseFromVecType(MPI_Comm, VecType, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar *, Mat *);

2607: PETSC_EXTERN PetscErrorCode MatSetHPL(Mat, int);
2608: #define PETSCBMHPL "hpl"