Actual source code: petscmat.h

  1: /*
  2:      Include file for the matrix component of PETSc
  3: */
  4: #ifndef PETSCMAT_H
  5: #define PETSCMAT_H

  7: #include <petscvec.h>

  9: /* SUBMANSEC = Mat */

 11: /*S
 12:      Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
 13:            an explicit sparse representation (such as matrix-free operators)

 15:    Level: beginner

 17:    Note:
 18:    See [](doc_matrix) and `MatType` for available matrix types

 20: .seealso: [](chapter_matrices), [](doc_matrix), `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: [](chapter_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("GCC warning \"MATTRANSPOSEMAT macro is deprecated use MATTRANSPOSEVIRTUAL (since version 3.18)\"") "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 MATDUMMY                     "dummy"
120: #define MATLMVM                      "lmvm"
121: #define MATLMVMDFP                   "lmvmdfp"
122: #define MATLMVMBFGS                  "lmvmbfgs"
123: #define MATLMVMSR1                   "lmvmsr1"
124: #define MATLMVMBROYDEN               "lmvmbroyden"
125: #define MATLMVMBADBROYDEN            "lmvmbadbroyden"
126: #define MATLMVMSYMBROYDEN            "lmvmsymbroyden"
127: #define MATLMVMSYMBADBROYDEN         "lmvmsymbadbroyden"
128: #define MATLMVMDIAGBROYDEN           "lmvmdiagbroyden"
129: #define MATCONSTANTDIAGONAL          "constantdiagonal"
130: #define MATHTOOL                     "htool"
131: #define MATH2OPUS                    "h2opus"

133: /*J
134:     MatSolverType - String with the name of a PETSc matrix solver type.

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

138:    Level: beginner

140:    Note:
141:    `MATSOLVERUMFPACK`, `MATSOLVERCHOLMOD`, `MATSOLVERKLU`, `MATSOLVERSPQR` form the SuiteSparse package for which you can use --download-suitesparse

143: .seealso: [](sec_matfactor), [](chapter_matrices), `MatGetFactor()`, `PCFactorSetMatSolverType()`, `PCFactorGetMatSolverType()`
144: J*/
145: typedef const char *MatSolverType;
146: #define MATSOLVERSUPERLU         "superlu"
147: #define MATSOLVERSUPERLU_DIST    "superlu_dist"
148: #define MATSOLVERSTRUMPACK       "strumpack"
149: #define MATSOLVERUMFPACK         "umfpack"
150: #define MATSOLVERCHOLMOD         "cholmod"
151: #define MATSOLVERKLU             "klu"
152: #define MATSOLVERSPARSEELEMENTAL "sparseelemental"
153: #define MATSOLVERELEMENTAL       "elemental"
154: #define MATSOLVERSCALAPACK       "scalapack"
155: #define MATSOLVERESSL            "essl"
156: #define MATSOLVERLUSOL           "lusol"
157: #define MATSOLVERMUMPS           "mumps"
158: #define MATSOLVERMKL_PARDISO     "mkl_pardiso"
159: #define MATSOLVERMKL_CPARDISO    "mkl_cpardiso"
160: #define MATSOLVERPASTIX          "pastix"
161: #define MATSOLVERMATLAB          "matlab"
162: #define MATSOLVERPETSC           "petsc"
163: #define MATSOLVERBAS             "bas"
164: #define MATSOLVERCUSPARSE        "cusparse"
165: #define MATSOLVERCUSPARSEBAND    "cusparseband"
166: #define MATSOLVERCUDA            "cuda"
167: #define MATSOLVERHIPSPARSE       "hipsparse"
168: #define MATSOLVERHIPSPARSEBAND   "hipsparseband"
169: #define MATSOLVERHIP             "hip"
170: #define MATSOLVERKOKKOS          "kokkos"
171: #define MATSOLVERKOKKOSDEVICE    "kokkosdevice"
172: #define MATSOLVERSPQR            "spqr"

174: /*E
175:     MatFactorType - indicates what type of factorization is requested

177:     Level: beginner

179:     Values:
180: +  `MAT_FACTOR_LU` - LU factorization
181: .  `MAT_FACTOR_CHOLESKY` - Cholesky factorization
182: .  `MAT_FACTOR_ILU` - ILU factorization
183: .  `MAT_FACTOR_ICC` - incomplete Cholesky factorization
184: .  `MAT_FACTOR_ILUDT` - ILU factorization with drop tolerance
185: -  `MAT_FACTOR_QR` - QR factorization

187: .seealso: [](chapter_matrices), `MatSolverType`, `MatGetFactor()`, `MatGetFactorAvailable()`, `MatSolverTypeRegister()`
188: E*/
189: typedef enum {
190:   MAT_FACTOR_NONE,
191:   MAT_FACTOR_LU,
192:   MAT_FACTOR_CHOLESKY,
193:   MAT_FACTOR_ILU,
194:   MAT_FACTOR_ICC,
195:   MAT_FACTOR_ILUDT,
196:   MAT_FACTOR_QR,
197:   MAT_FACTOR_NUM_TYPES
198: } MatFactorType;
199: PETSC_EXTERN const char *const MatFactorTypes[];

201: PETSC_EXTERN PetscErrorCode MatGetFactor(Mat, MatSolverType, MatFactorType, Mat *);
202: PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat, MatSolverType, MatFactorType, PetscBool *);
203: PETSC_EXTERN PetscErrorCode MatFactorGetCanUseOrdering(Mat, PetscBool *);
204: PETSC_DEPRECATED_FUNCTION("Use MatFactorGetCanUseOrdering() (since version 3.15)") static inline PetscErrorCode MatFactorGetUseOrdering(Mat A, PetscBool *b)
205: {
206:   return MatFactorGetCanUseOrdering(A, b);
207: }
208: PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat, MatSolverType *);
209: PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat, MatFactorType *);
210: PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat, MatFactorType);
211: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatSolverFunction)(Mat, MatFactorType, Mat *);
212: PETSC_EXTERN PetscErrorCode            MatSolverTypeRegister(MatSolverType, MatType, MatFactorType, MatSolverFunction);
213: PETSC_EXTERN PetscErrorCode            MatSolverTypeGet(MatSolverType, MatType, MatFactorType, PetscBool *, PetscBool *, MatSolverFunction *);
214: typedef MatSolverType MatSolverPackage PETSC_DEPRECATED_TYPEDEF("Use MatSolverType (since version 3.9)");
215: PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeRegister() (since version 3.9)") static inline PetscErrorCode MatSolverPackageRegister(MatSolverType stype, MatType mtype, MatFactorType ftype, MatSolverFunction f)
216: {
217:   return MatSolverTypeRegister(stype, mtype, ftype, f);
218: }
219: PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeGet() (since version 3.9)") static inline PetscErrorCode MatSolverPackageGet(MatSolverType stype, MatType mtype, MatFactorType ftype, PetscBool *foundmtype, PetscBool *foundstype, MatSolverFunction *f)
220: {
221:   return MatSolverTypeGet(stype, mtype, ftype, foundmtype, foundstype, f);
222: }

224: /*E
225:     MatProductType - indicates what type of matrix product is requested

227:     Level: beginner

229:     Values:
230: +  `MATPRODUCT_AB` - product of two matrices
231: .  `MATPRODUCT_AtB` - product of the transpose of a given matrix with a matrix
232: .  `MATPRODUCT_ABt` - product of a matrix with the transpose of another given matrix
233: .  `MATPRODUCT_PtAP` - the triple product of the transpose of a matrix with another matrix and itself
234: .  `MATPRODUCT_RARt` - the triple product of a matrix, another matrix and the transpose of the first matrix
235: -  `MATPRODUCT_ABC` - the product of three matrices

237: .seealso: [](sec_matmatproduct), [](chapter_matrices), `MatProductSetType()`
238: E*/
239: typedef enum {
240:   MATPRODUCT_UNSPECIFIED = 0,
241:   MATPRODUCT_AB,
242:   MATPRODUCT_AtB,
243:   MATPRODUCT_ABt,
244:   MATPRODUCT_PtAP,
245:   MATPRODUCT_RARt,
246:   MATPRODUCT_ABC
247: } MatProductType;
248: PETSC_EXTERN const char *const MatProductTypes[];

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

253:    Level: beginner

255: .seealso: [](sec_matmatproduct), [](chapter_matrices), `MatSetType()`, `Mat`, `MatProductSetAlgorithm()`, `MatProductType`
256: J*/
257: typedef const char *MatProductAlgorithm;
258: #define MATPRODUCTALGORITHMDEFAULT         "default"
259: #define MATPRODUCTALGORITHMSORTED          "sorted"
260: #define MATPRODUCTALGORITHMSCALABLE        "scalable"
261: #define MATPRODUCTALGORITHMSCALABLEFAST    "scalable_fast"
262: #define MATPRODUCTALGORITHMHEAP            "heap"
263: #define MATPRODUCTALGORITHMBHEAP           "btheap"
264: #define MATPRODUCTALGORITHMLLCONDENSED     "llcondensed"
265: #define MATPRODUCTALGORITHMROWMERGE        "rowmerge"
266: #define MATPRODUCTALGORITHMOUTERPRODUCT    "outerproduct"
267: #define MATPRODUCTALGORITHMATB             "at*b"
268: #define MATPRODUCTALGORITHMRAP             "rap"
269: #define MATPRODUCTALGORITHMNONSCALABLE     "nonscalable"
270: #define MATPRODUCTALGORITHMSEQMPI          "seqmpi"
271: #define MATPRODUCTALGORITHMBACKEND         "backend"
272: #define MATPRODUCTALGORITHMOVERLAPPING     "overlapping"
273: #define MATPRODUCTALGORITHMMERGED          "merged"
274: #define MATPRODUCTALGORITHMALLATONCE       "allatonce"
275: #define MATPRODUCTALGORITHMALLATONCEMERGED "allatonce_merged"
276: #define MATPRODUCTALGORITHMALLGATHERV      "allgatherv"
277: #define MATPRODUCTALGORITHMCYCLIC          "cyclic"
278: #if defined(PETSC_HAVE_HYPRE)
279:   #define MATPRODUCTALGORITHMHYPRE "hypre"
280: #endif

282: PETSC_EXTERN PetscErrorCode MatProductCreate(Mat, Mat, Mat, Mat *);
283: PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat, Mat, Mat, Mat);
284: PETSC_EXTERN PetscErrorCode MatProductSetType(Mat, MatProductType);
285: PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat, MatProductAlgorithm);
286: PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat, PetscReal);
287: PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
288: PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
289: PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
290: PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat, Mat, Mat, Mat);
291: PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
292: PETSC_EXTERN PetscErrorCode MatProductView(Mat, PetscViewer);
293: PETSC_EXTERN PetscErrorCode MatProductGetType(Mat, MatProductType *);
294: PETSC_EXTERN PetscErrorCode MatProductGetMats(Mat, Mat *, Mat *, Mat *);

296: /* Logging support */
297: #define MAT_FILE_CLASSID 1211216 /* used to indicate matrices in binary files */
298: PETSC_EXTERN PetscClassId MAT_CLASSID;
299: PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
300: PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
301: PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
302: PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
303: PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
304: PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
305: PETSC_EXTERN PetscClassId MATMFFD_CLASSID;

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

311:    Values:
312: +  `MAT_INITIAL_MATRIX` - create a new matrix
313: .  `MAT_REUSE_MATRIX` - reuse the matrix created with a previous call that used `MAT_INITIAL_MATRIX`
314: .  `MAT_INPLACE_MATRIX` - replace the first input matrix with the new matrix (not applicable to all functions)
315: -  `MAT_IGNORE_MATRIX` - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)

317:     Level: beginner

319: .seealso: [](chapter_matrices), `Mat`, `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatDestroyMatrices()`, `MatConvert()`
320: E*/
321: typedef enum {
322:   MAT_INITIAL_MATRIX,
323:   MAT_REUSE_MATRIX,
324:   MAT_IGNORE_MATRIX,
325:   MAT_INPLACE_MATRIX
326: } MatReuse;

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

332:     Level: developer

334:     Values:
335: +  `MAT_DO_NOT_GET_VALUES` - do not copy the matrix values
336: -  `MAT_GET_VALUES` - copy the matrix values

338:     Developer Note:
339:     Why is not just a boolean used for this information?

341: .seealso: [](chapter_matrices), `Mat`, `MatDuplicateOption`, `PetscCopyMode`, `MatGetSeqNonzeroStructure()`
342: E*/
343: typedef enum {
344:   MAT_DO_NOT_GET_VALUES,
345:   MAT_GET_VALUES
346: } MatCreateSubMatrixOption;

348: PETSC_EXTERN PetscErrorCode MatInitializePackage(void);

350: PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm, Mat *);
351: PETSC_EXTERN PetscErrorCode MatSetSizes(Mat, PetscInt, PetscInt, PetscInt, PetscInt);
352: PETSC_EXTERN PetscErrorCode MatSetType(Mat, MatType);
353: PETSC_EXTERN PetscErrorCode MatGetVecType(Mat, VecType *);
354: PETSC_EXTERN PetscErrorCode MatSetVecType(Mat, VecType);
355: PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
356: PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat, PetscObject, const char[]);
357: PETSC_EXTERN PetscErrorCode MatRegister(const char[], PetscErrorCode (*)(Mat));
358: PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[], const char[], const char[]);
359: PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat, const char[]);
360: PETSC_EXTERN PetscErrorCode MatSetOptionsPrefixFactor(Mat, const char[]);
361: PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefixFactor(Mat, const char[]);
362: PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat, const char[]);
363: PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat, const char *[]);
364: PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat, PetscBool);

366: PETSC_EXTERN PetscFunctionList MatList;
367: PETSC_EXTERN PetscFunctionList MatColoringList;
368: PETSC_EXTERN PetscFunctionList MatPartitioningList;

370: /*E
371:     MatStructure - Indicates if two matrices have the same nonzero structure

373:     Level: beginner

375:    Values:
376: +  `SAME_NONZERO_PATTERN`  - the two matrices have identical nonzero patterns
377: .  `DIFFERENT_NONZERO_PATTERN` - the two matrices may have different nonzero patterns
378: .  `SUBSET_NONZERO_PATTERN` - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
379: -  `UNKNOWN_NONZERO_PATTERN` - there is no known relationship between the nonzero patterns. In this case the implementations
380:                                may try to detect a relationship to optimize the operation

382: .seealso: [](chapter_matrices), `Mat`, `MatCopy()`, `MatAXPY()`, `MatAYPX()`
383: E*/
384: typedef enum {
385:   DIFFERENT_NONZERO_PATTERN,
386:   SUBSET_NONZERO_PATTERN,
387:   SAME_NONZERO_PATTERN,
388:   UNKNOWN_NONZERO_PATTERN
389: } MatStructure;
390: PETSC_EXTERN const char *const MatStructures[];

392: #if defined                 PETSC_HAVE_MKL_SPARSE
393: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
394: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
395: PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
396: PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
397: #endif

399: PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
400: PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
401: PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat, PetscInt, const PetscInt[]);
402: PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);

404: PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
405: PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
406: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
407: PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
408: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
409: PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
410: PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArray(Mat, const PetscScalar[]);
411: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], PetscInt[], PetscInt[], PetscScalar[], Mat *);
412: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm, Mat, Mat, const PetscInt[], Mat *);

414: PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
415: PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
416: PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);

418: PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat, PetscCount, PetscInt[], PetscInt[]);
419: PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat, PetscCount, PetscInt[], PetscInt[]);
420: PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat, const PetscScalar[], InsertMode);

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

425: PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
426: PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
427: PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
428: PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
429: PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], const PetscInt[]);

431: PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, void *, Mat *);
432: PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm, PetscInt, PetscInt, Mat *);
433: PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat, Mat *);
434: PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat, Mat *);
435: PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat, Mat, Vec, Mat, Mat *);
436: PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat, Mat *, Mat *, Vec *, Mat *);
437: PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, ISLocalToGlobalMapping, ISLocalToGlobalMapping, Mat *);
438: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
439: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);

441: PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm, VecScatter, Mat *);
442: PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat, VecScatter);
443: PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat, VecScatter *);
444: PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt *, Mat *);
445: PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat, Mat);
446: PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
447: typedef enum {
448:   MAT_COMPOSITE_MERGE_RIGHT,
449:   MAT_COMPOSITE_MERGE_LEFT
450: } MatCompositeMergeType;
451: PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat, MatCompositeMergeType);
452: PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm, PetscInt, const Mat *, Mat *);
453: typedef enum {
454:   MAT_COMPOSITE_ADDITIVE,
455:   MAT_COMPOSITE_MULTIPLICATIVE
456: } MatCompositeType;
457: PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat, MatCompositeType);
458: PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat, MatCompositeType *);
459: PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat, MatStructure);
460: PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat, MatStructure *);
461: PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat, PetscInt *);
462: PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat, PetscInt, Mat *);
463: PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat, const PetscScalar *);

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

468: PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat, Mat *);
469: PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat, Mat *);
470: PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat, Mat *);
471: PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat, Mat *);
472: PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat, Mat *);
473: PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat, Mat *);
474: PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat, IS, IS, Mat *);
475: PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat, Mat, IS, IS);
476: PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat, IS, IS, Mat *);
477: PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar, Mat *);

479: #if defined(PETSC_HAVE_HYPRE)
480: PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
481: #endif

483: PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat, const char[]);
484: PETSC_EXTERN PetscErrorCode MatPythonGetType(Mat, const char *[]);

486: PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
487: PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
488: PETSC_EXTERN PetscErrorCode MatDestroy(Mat *);
489: PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat, PetscObjectState *);

491: PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
492: PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
493: PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
494: PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat, Mat *);
495: PETSC_EXTERN PetscErrorCode MatGetTrace(Mat, PetscScalar *);
496: PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat, const PetscScalar **);
497: PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat, PetscInt, const PetscInt *, PetscScalar *);
498: PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat, Mat);
499: PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat, MatReuse, Mat *);

501: /* ------------------------------------------------------------*/
502: PETSC_EXTERN PetscErrorCode MatSetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
503: PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat, IS, IS, const PetscScalar[], InsertMode);
504: PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
505: PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat, PetscInt, const PetscScalar[]);
506: PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat, PetscInt, const PetscScalar[]);
507: PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt[], const PetscScalar[]);
508: PETSC_EXTERN PetscErrorCode MatSetRandom(Mat, PetscRandom);

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

514:    Level: beginner

516:    Notes:
517:    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).
518:    The c represents the the degrees of freedom at each grid point (the dof argument to `DMDASetDOF()`). If dof is 1 then this entry is ignored.

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

522:    For staggered grids, see `DMStagStencil`

524:    Fortran Note:
525:    See `MatSetValuesStencil()` for details.

527: .seealso: [](chapter_matrices), `Mat`, `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`,
528:           `DMStagStencil`
529: S*/
530: typedef struct {
531:   PetscInt k, j, i, c;
532: } MatStencil;

534: PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
535: PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
536: PETSC_EXTERN PetscErrorCode MatSetStencil(Mat, PetscInt, const PetscInt[], const PetscInt[], PetscInt);

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

541:     Level: beginner

543:     Values:
544: +   `MAT_FLUSH_ASSEMBLY` - you will continue to put values into the matrix
545: -   `MAT_FINAL_ASSEMBLY` - you wish to use the matrix with the values currently inserted

547: .seealso: [](chapter_matrices), `Mat`, `MatSetValues`, `MatAssemblyBegin()`, `MatAssemblyEnd()`
548: E*/
549: typedef enum {
550:   MAT_FLUSH_ASSEMBLY = 1,
551:   MAT_FINAL_ASSEMBLY = 0
552: } MatAssemblyType;
553: PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat, MatAssemblyType);
554: PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat, MatAssemblyType);
555: PETSC_EXTERN PetscErrorCode MatAssembled(Mat, PetscBool *);

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

560:     Level: beginner

562:    Note:
563:    See `MatSetOption()` for the use of the options

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

568: .seealso: [](chapter_matrices), `Mat`, `MatSetOption()`
569: E*/
570: typedef enum {
571:   MAT_OPTION_MIN                  = -3,
572:   MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
573:   MAT_ROW_ORIENTED                = -1,
574:   MAT_SYMMETRIC                   = 1,
575:   MAT_STRUCTURALLY_SYMMETRIC      = 2,
576:   MAT_FORCE_DIAGONAL_ENTRIES      = 3,
577:   MAT_IGNORE_OFF_PROC_ENTRIES     = 4,
578:   MAT_USE_HASH_TABLE              = 5,
579:   MAT_KEEP_NONZERO_PATTERN        = 6,
580:   MAT_IGNORE_ZERO_ENTRIES         = 7,
581:   MAT_USE_INODES                  = 8,
582:   MAT_HERMITIAN                   = 9,
583:   MAT_SYMMETRY_ETERNAL            = 10,
584:   MAT_NEW_NONZERO_LOCATION_ERR    = 11,
585:   MAT_IGNORE_LOWER_TRIANGULAR     = 12,
586:   MAT_ERROR_LOWER_TRIANGULAR      = 13,
587:   MAT_GETROW_UPPERTRIANGULAR      = 14,
588:   MAT_SPD                         = 15,
589:   MAT_NO_OFF_PROC_ZERO_ROWS       = 16,
590:   MAT_NO_OFF_PROC_ENTRIES         = 17,
591:   MAT_NEW_NONZERO_LOCATIONS       = 18,
592:   MAT_NEW_NONZERO_ALLOCATION_ERR  = 19,
593:   MAT_SUBSET_OFF_PROC_ENTRIES     = 20,
594:   MAT_SUBMAT_SINGLEIS             = 21,
595:   MAT_STRUCTURE_ONLY              = 22,
596:   MAT_SORTED_FULL                 = 23,
597:   MAT_FORM_EXPLICIT_TRANSPOSE     = 24,
598:   MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
599:   MAT_SPD_ETERNAL                 = 26,
600:   MAT_OPTION_MAX                  = 27
601: } MatOption;

603: PETSC_EXTERN const char *const *MatOptions;
604: PETSC_EXTERN PetscErrorCode     MatSetOption(Mat, MatOption, PetscBool);
605: PETSC_EXTERN PetscErrorCode     MatGetOption(Mat, MatOption, PetscBool *);
606: PETSC_EXTERN PetscErrorCode     MatPropagateSymmetryOptions(Mat, Mat);
607: PETSC_EXTERN PetscErrorCode     MatGetType(Mat, MatType *);

609: PETSC_EXTERN PetscErrorCode    MatGetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
610: PETSC_EXTERN PetscErrorCode    MatGetRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
611: PETSC_EXTERN PetscErrorCode    MatRestoreRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
612: PETSC_EXTERN PetscErrorCode    MatGetRowUpperTriangular(Mat);
613: PETSC_EXTERN PetscErrorCode    MatRestoreRowUpperTriangular(Mat);
614: PETSC_EXTERN PetscErrorCode    MatGetColumnVector(Mat, Vec, PetscInt);
615: PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArray(Mat, PetscScalar *[]);
616: PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayRead(Mat, const PetscScalar *[]);
617: PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayWrite(Mat, PetscScalar *[]);
618: PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArray(Mat, PetscScalar *[]);
619: PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayRead(Mat, const PetscScalar *[]);
620: PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayWrite(Mat, PetscScalar *[]);
621: PETSC_EXTERN PetscErrorCode    MatSeqAIJGetMaxRowNonzeros(Mat, PetscInt *);
622: PETSC_EXTERN PetscErrorCode    MatSeqAIJSetValuesLocalFast(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
623: PETSC_EXTERN PetscErrorCode    MatSeqAIJSetType(Mat, MatType);
624: PETSC_EXTERN PetscErrorCode    MatSeqAIJKron(Mat, Mat, MatReuse, Mat *);
625: PETSC_EXTERN PetscErrorCode    MatSeqAIJRegister(const char[], PetscErrorCode (*)(Mat, MatType, MatReuse, Mat *));
626: PETSC_EXTERN PetscFunctionList MatSeqAIJList;
627: PETSC_EXTERN PetscErrorCode    MatSeqBAIJGetArray(Mat, PetscScalar *[]);
628: PETSC_EXTERN PetscErrorCode    MatSeqBAIJRestoreArray(Mat, PetscScalar *[]);
629: PETSC_EXTERN PetscErrorCode    MatSeqSBAIJGetArray(Mat, PetscScalar *[]);
630: PETSC_EXTERN PetscErrorCode    MatSeqSBAIJRestoreArray(Mat, PetscScalar *[]);
631: PETSC_EXTERN PetscErrorCode    MatDenseGetArray(Mat, PetscScalar *[]);
632: PETSC_EXTERN PetscErrorCode    MatDenseRestoreArray(Mat, PetscScalar *[]);
633: PETSC_EXTERN PetscErrorCode    MatDensePlaceArray(Mat, const PetscScalar[]);
634: PETSC_EXTERN PetscErrorCode    MatDenseReplaceArray(Mat, const PetscScalar[]);
635: PETSC_EXTERN PetscErrorCode    MatDenseResetArray(Mat);
636: PETSC_EXTERN PetscErrorCode    MatDenseGetArrayRead(Mat, const PetscScalar *[]);
637: PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayRead(Mat, const PetscScalar *[]);
638: PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWrite(Mat, PetscScalar *[]);
639: PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWrite(Mat, PetscScalar *[]);
640: PETSC_EXTERN PetscErrorCode    MatDenseGetArrayAndMemType(Mat, PetscScalar *[], PetscMemType *);
641: PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayAndMemType(Mat, PetscScalar *[]);
642: PETSC_EXTERN PetscErrorCode    MatDenseGetArrayReadAndMemType(Mat, const PetscScalar *[], PetscMemType *);
643: PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayReadAndMemType(Mat, const PetscScalar *[]);
644: PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWriteAndMemType(Mat, PetscScalar *[], PetscMemType *);
645: PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWriteAndMemType(Mat, PetscScalar *[]);
646: PETSC_EXTERN PetscErrorCode    MatGetBlockSize(Mat, PetscInt *);
647: PETSC_EXTERN PetscErrorCode    MatSetBlockSize(Mat, PetscInt);
648: PETSC_EXTERN PetscErrorCode    MatGetBlockSizes(Mat, PetscInt *, PetscInt *);
649: PETSC_EXTERN PetscErrorCode    MatSetBlockSizes(Mat, PetscInt, PetscInt);
650: PETSC_EXTERN PetscErrorCode    MatSetBlockSizesFromMats(Mat, Mat, Mat);
651: PETSC_EXTERN PetscErrorCode    MatSetVariableBlockSizes(Mat, PetscInt, PetscInt *);
652: PETSC_EXTERN PetscErrorCode    MatGetVariableBlockSizes(Mat, PetscInt *, const PetscInt **);

654: PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat, PetscInt, PetscScalar *[]);
655: PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat, PetscScalar *[]);
656: PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat, PetscInt, Vec *);
657: PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat, PetscInt, Vec *);
658: PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat, PetscInt, Vec *);
659: PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat, PetscInt, Vec *);
660: PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat, PetscInt, Vec *);
661: PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat, PetscInt, Vec *);
662: PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
663: PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat, Mat *);

665: PETSC_EXTERN PetscErrorCode MatMult(Mat, Vec, Vec);
666: PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat, Vec, Vec);
667: PETSC_EXTERN PetscErrorCode MatMultAdd(Mat, Vec, Vec, Vec);
668: PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat, Vec, Vec);
669: PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat, Vec, Vec);
670: PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat, Mat, PetscReal, PetscBool *);
671: PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat, Mat, PetscReal, PetscBool *);
672: PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat, Vec, Vec, Vec);
673: PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat, Vec, Vec, Vec);
674: PETSC_EXTERN PetscErrorCode MatMatSolve(Mat, Mat, Mat);
675: PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat, Mat, Mat);
676: PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat, Mat, Mat);
677: PETSC_EXTERN PetscErrorCode MatResidual(Mat, Vec, Vec, Vec);

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

683:     Level: beginner

685:     Values:
686: +   `MAT_DO_NOT_COPY_VALUES`    - Create a matrix using the same nonzero pattern as the original matrix,
687:                                with zeros for the numerical values
688: .   `MAT_COPY_VALUES`           - Create a matrix with the same nonzero pattern as the original matrix
689:                                and with the same numerical values.
690: -   `MAT_SHARE_NONZERO_PATTERN` - Create a matrix that shares the nonzero structure with the previous matrix
691:                                and does not copy it, using zeros for the numerical values. The parent and
692:                                child matrices will share their index (i and j) arrays, and you cannot
693:                                insert new nonzero entries into either matrix

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

699: .seealso: [](chapter_matrices), `Mat`, `MatDuplicate()`
700: E*/
701: typedef enum {
702:   MAT_DO_NOT_COPY_VALUES,
703:   MAT_COPY_VALUES,
704:   MAT_SHARE_NONZERO_PATTERN
705: } MatDuplicateOption;

707: PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
708: PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);

710: PETSC_EXTERN PetscErrorCode MatCopy(Mat, Mat, MatStructure);
711: PETSC_EXTERN PetscErrorCode MatView(Mat, PetscViewer);
712: PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat, PetscReal, PetscBool *);
713: PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat, PetscBool *);
714: PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat, PetscReal, PetscBool *);
715: PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat, PetscBool *, PetscBool *);
716: PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat, PetscBool *, PetscBool *);
717: PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat, PetscBool *, PetscBool *);
718: PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat, PetscBool *, PetscBool *);
719: PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat, PetscBool *, PetscInt *);
720: PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);

722: PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
723: PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
724: PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
725: PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);

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

730:    Level: intermediate

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

735: .seealso: [](chapter_matrices), `Mat`, `MatGetInfo()`, `MatInfoType`
736: S*/
737: typedef struct {
738:   PetscLogDouble block_size;                          /* block size */
739:   PetscLogDouble nz_allocated, nz_used, nz_unneeded;  /* number of nonzeros */
740:   PetscLogDouble memory;                              /* memory allocated */
741:   PetscLogDouble assemblies;                          /* number of matrix assemblies called */
742:   PetscLogDouble mallocs;                             /* number of mallocs during MatSetValues() */
743:   PetscLogDouble fill_ratio_given, fill_ratio_needed; /* fill ratio for LU/ILU */
744:   PetscLogDouble factor_mallocs;                      /* number of mallocs during factorization */
745: } MatInfo;

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

751:     Level: beginner

753:     Values:
754: +   `MAT_LOCAL` - values for each MPI process part of the matrix
755: .   `MAT_GLOBAL_MAX` - maximum of each value over all MPI processes
756: -   `MAT_GLOBAL_SUM` - sum of each value over all MPI processes

758: .seealso: [](chapter_matrices), `MatGetInfo()`, `MatInfo`
759: E*/
760: typedef enum {
761:   MAT_LOCAL      = 1,
762:   MAT_GLOBAL_MAX = 2,
763:   MAT_GLOBAL_SUM = 3
764: } MatInfoType;
765: PETSC_EXTERN PetscErrorCode MatGetInfo(Mat, MatInfoType, MatInfo *);
766: PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat, Vec);
767: PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat, Vec, PetscInt[]);
768: PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat, Vec, PetscInt[]);
769: PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat, Vec, PetscInt[]);
770: PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat, Vec, PetscInt[]);
771: PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat, Vec);
772: PETSC_EXTERN PetscErrorCode MatTranspose(Mat, MatReuse, Mat *);
773: PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat, Mat *);
774: PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat, Mat);
775: PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat, MatReuse, Mat *);
776: PETSC_EXTERN PetscErrorCode MatPermute(Mat, IS, IS, Mat *);
777: PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat, Vec, Vec);
778: PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat, Vec, InsertMode);

780: PETSC_EXTERN PetscErrorCode MatEqual(Mat, Mat, PetscBool *);
781: PETSC_EXTERN PetscErrorCode MatMultEqual(Mat, Mat, PetscInt, PetscBool *);
782: PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat, Mat, PetscInt, PetscBool *);
783: PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
784: PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
785: PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
786: PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
787: PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
788: PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
789: PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
790: PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
791: PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
792: PETSC_EXTERN PetscErrorCode MatIsLinear(Mat, PetscInt, PetscBool *);

794: PETSC_EXTERN PetscErrorCode MatNorm(Mat, NormType, PetscReal *);
795: PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat, NormType, PetscReal *);
796: PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat, PetscScalar *);
797: PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat, PetscReal *);
798: PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat, PetscReal *);
799: PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat, PetscScalar *);
800: PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat, PetscReal *);
801: PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat, PetscReal *);
802: PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat, PetscInt, PetscReal *);
803: PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
804: PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
805: PETSC_EXTERN PetscErrorCode MatZeroRows(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
806: PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat, IS, PetscScalar, Vec, Vec);
807: PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
808: PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
809: PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
810: PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat, IS, PetscScalar, Vec, Vec);

812: PETSC_EXTERN PetscErrorCode MatGetSize(Mat, PetscInt *, PetscInt *);
813: PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat, PetscInt *, PetscInt *);
814: PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat, PetscInt *, PetscInt *);
815: PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat, const PetscInt **);
816: PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat, PetscInt *, PetscInt *);
817: PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat, const PetscInt **);
818: PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat, IS *, IS *);

820: PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
821: PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatrices() (since version 3.8)") static inline PetscErrorCode MatGetSubMatrices(Mat mat, PetscInt n, const IS irow[], const IS icol[], MatReuse scall, Mat *submat[])
822: {
823:   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
824: }
825: PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
826: PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatricesMPI() (since version 3.8)") static inline PetscErrorCode MatGetSubMatricesMPI(Mat mat, PetscInt n, const IS irow[], const IS icol[], MatReuse scall, Mat *submat[])
827: {
828:   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
829: }
830: PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
831: PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
832: PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
833: PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatrix() (since version 3.8)") static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat)
834: {
835:   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
836: }
837: PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
838: PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
839: PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
840: PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);

842: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm, Mat, PetscInt, PetscInt, MatReuse, Mat *);
843: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm, Mat, PetscInt, PetscInt, Mat *);
844: PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat, Mat);
845: PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat, MatReuse, Mat *);
846: PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat, Mat *);
847: PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
848: PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat, MatReuse, IS *, Mat *);
849: PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat, PetscCount *);
850: PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat, Mat, MatReuse, IS *, IS *, Mat *);
851: PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *, const PetscInt *[]);

853: PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
854: PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat, PetscInt n, IS is[], PetscInt ov);
855: PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);

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

859: PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
860: PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);

862: PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
863: PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);

865: PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
866: PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);

868: PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
869: PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);

871: PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
872: PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);

874: PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping, ISLocalToGlobalMapping);
875: PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
876: PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat, PetscLayout *, PetscLayout *);
877: PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat, PetscLayout, PetscLayout);
878: PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
879: PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
880: PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
881: PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
882: PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
883: PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
884: PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);

886: PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
887: PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);

889: PETSC_EXTERN PetscErrorCode MatInterpolate(Mat, Vec, Vec);
890: PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat, Vec, Vec, Vec);
891: PETSC_EXTERN PetscErrorCode MatRestrict(Mat, Vec, Vec);
892: PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat, Mat, Mat *);
893: PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat, Mat, Mat, Mat *);
894: PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat, Mat, Mat *);
895: PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat, Vec *, Vec *);
896: PETSC_DEPRECATED_FUNCTION("Use MatCreateVecs() (since version 3.6)") static inline PetscErrorCode MatGetVecs(Mat mat, Vec *x, Vec *y)
897: {
898:   return MatCreateVecs(mat, x, y);
899: }
900: PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat, PetscInt, MPI_Comm, MatReuse, Mat *);
901: PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat, MPI_Comm, MatReuse, Mat *);
902: PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat, IS *);
903: PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat, IS *);
904: PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm, Mat, PetscInt, MatReuse, Mat *);

906: /*MC
907:    MatSetValue - Set a single entry into a matrix.

909:    Not Collective

911:    Synopsis:
912: #include <petscmat.h>
913:      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)

915:    Input Parameters:
916: +  m - the matrix
917: .  row - the row location of the entry
918: .  col - the column location of the entry
919: .  value - the value to insert
920: -  mode - either `INSERT_VALUES` or `ADD_VALUES`

922:    Level: beginner

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

927: .seealso: [](chapter_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd`, `InsertMode`, `MatGetValue()`, `MatSetValues()`,
928:           `MatSetValueLocal()`, `MatSetValuesLocal()`
929: M*/
930: static inline PetscErrorCode MatSetValue(Mat v, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
931: {
932:   return MatSetValues(v, 1, &i, 1, &j, &va, mode);
933: }

935: /*@C
936:    MatGetValue - Gets a single value from a matrix

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

940:    Input Parameters:
941: +  mat - the matrix
942: .  row - the row location of the entry
943: -  col - the column location of the entry

945:    Output Parameter:
946: .  va - the value

948:    Level: advanced

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

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

955:    See notes for `MatGetValues()`.

957: .seealso: [](chapter_matrices),  `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd`, `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
958: @*/
959: static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
960: {
961:   return MatGetValues(mat, 1, &row, 1, &col, va);
962: }

964: /*MC
965:    MatSetValueLocal - Inserts or adds a single value into a matrix, using a local numbering of the nodes.

967:    Not Collective

969:    Input Parameters:
970: +  m - the matrix
971: .  row - the row location of the entry
972: .  col - the column location of the entry
973: .  value - the value to insert
974: -  mode - either `INSERT_VALUES` or `ADD_VALUES`

976:    Level: intermediate

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

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

983: .seealso: [](chapter_matrices), `MatSetValue()`, `MatSetValuesLocal()`
984: M*/
985: static inline PetscErrorCode MatSetValueLocal(Mat v, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
986: {
987:   return MatSetValuesLocal(v, 1, &i, 1, &j, &va, mode);
988: }

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

994:    Synopsis:
995: #include <petscmat.h>
996:    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)

998:    Collective

1000:    Input Parameters:
1001: +  comm - the communicator that will share the eventually allocated matrix
1002: .  nrows - the number of LOCAL rows in the matrix
1003: -  ncols - the number of LOCAL columns in the matrix

1005:    Output Parameters:
1006: +  dnz - the array that will be passed to the matrix preallocation routines
1007: -  onz - the other array passed to the matrix preallocation routines

1009:    Level: deprecated (since v3.19)

1011:    Notes:
1012:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1013:    the use of this routine

1015:    This is a macro that handles its own error checking, it does not return an error code.

1017:    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines

1019:    Developer Note:
1020:     This is a MACRO not a function because it has a leading { that is closed by `PetscPreallocateFinalize()`.

1022: .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1023:           `MatPreallocateSymmetricSetLocalBlock()`
1024: M*/
1025: #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
1026:   do { \
1027:     PetscInt              __nrows = (nrows), __ncols = (ncols), __rstart, __end = 0; \
1028:     PetscInt PETSC_UNUSED __start; \
1029:     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
1030:     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
1031:     __start = __end - __ncols; \
1032:     (void)__start; \
1033:     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
1034:   __rstart -= __nrows

1036: #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateBegin() (since version 3.18)\"") MatPreallocateBegin(__VA_ARGS__)

1038: /*MC
1039:    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1040:        inserted using a local number of the rows and columns

1042:    Synopsis:
1043: #include <petscmat.h>
1044:    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1046:    Not Collective

1048:    Input Parameters:
1049: +  map - the row mapping from local numbering to global numbering
1050: .  nrows - the number of rows indicated
1051: .  rows - the indices of the rows
1052: .  cmap - the column mapping from local to global numbering
1053: .  ncols - the number of columns in the matrix
1054: .  cols - the columns indicated
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:    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines

1066: .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1067:           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
1068: M*/
1069: #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1070:   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));)

1072: /*MC
1073:    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1074:        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols

1076:    Synopsis:
1077: #include <petscmat.h>
1078:    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1080:    Not Collective

1082:    Input Parameters:
1083: +  map - the row mapping from local numbering to global numbering
1084: .  nrows - the number of rows indicated
1085: .  rows - the indices of the rows (these values are mapped to the global values)
1086: .  cmap - the column mapping from local to global numbering
1087: .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1088: .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1089: .  dnz - the array that will be passed to the matrix preallocation routines
1090: -  onz - the other array passed to the matrix preallocation routines

1092:    Level: deprecated (since v3.19)

1094:    Notes:
1095:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1096:    the use of this routine

1098:    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines

1100: .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1101:           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1102: M*/
1103: #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1104:   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));)

1106: /*MC
1107:    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1108:        inserted using a local number of the rows and columns

1110:    Synopsis:
1111: #include <petscmat.h>
1112:    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1114:    Not Collective

1116:    Input Parameters:
1117: +  map - the row mapping from local numbering to global numbering
1118: .  nrows - the number of rows indicated
1119: .  rows - the indices of the rows
1120: .  cmap - the column mapping from local to global numbering
1121: .  ncols - the number of columns in the matrix
1122: .  cols - the columns indicated
1123: .  dnz - the array that will be passed to the matrix preallocation routines
1124: -  onz - the other array passed to the matrix preallocation routines

1126:    Level: deprecated (since v3.19)

1128:    Notes:
1129:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1130:    the use of this routine

1132:    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines

1134: .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1135:           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1136: M*/
1137: #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1138:   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));)

1140: /*MC
1141:    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1142:        inserted using a local number of the rows and columns

1144:    Synopsis:
1145: #include <petscmat.h>
1146:    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1148:    Not Collective

1150:    Input Parameters:
1151: +  map - the mapping between local numbering and global numbering
1152: .  nrows - the number of rows indicated
1153: .  rows - the indices of the rows
1154: .  ncols - the number of columns in the matrix
1155: .  cols - the columns indicated
1156: .  dnz - the array that will be passed to the matrix preallocation routines
1157: -  onz - the other array passed to the matrix preallocation routines

1159:    Level: deprecated (since v3.19)

1161:    Notes:
1162:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1163:    the use of this routine

1165:    Do not malloc or free `dnz` and `onz` that is handled internally by these routines

1167: .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`
1168:           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1169: M*/
1170: #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1171:   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));)

1173: /*MC
1174:    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1175:        inserted using a local number of the rows and columns

1177:    Synopsis:
1178: #include <petscmat.h>
1179:    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1181:    Not Collective

1183:    Input Parameters:
1184: +  row - the row
1185: .  ncols - the number of columns in the matrix
1186: -  cols - the columns indicated

1188:    Output Parameters:
1189: +  dnz - the array that will be passed to the matrix preallocation routines
1190: -  onz - the other array passed to the matrix preallocation routines

1192:    Level: deprecated (since v3.19)

1194:    Notes:
1195:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1196:    the use of this routine

1198:    Do not malloc or free `dnz` and `onz` that is handled internally by these routines

1200:    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().

1202: .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1203:           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1204: M*/
1205: #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1206:   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) { \
1207:     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1208:     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1209:   })

1211: /*MC
1212:    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1213:        inserted using a local number of the rows and columns

1215:    Synopsis:
1216: #include <petscmat.h>
1217:    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)

1219:    Not Collective

1221:    Input Parameters:
1222: +  nrows - the number of rows indicated
1223: .  rows - the indices of the rows
1224: .  ncols - the number of columns in the matrix
1225: .  cols - the columns indicated
1226: .  dnz - the array that will be passed to the matrix preallocation routines
1227: -  onz - the other array passed to the matrix preallocation routines

1229:    Level: deprecated (since v3.19)

1231:    Notes:
1232:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1233:    the use of this routine

1235:    Do not malloc or free `dnz` and `onz` that is handled internally by these routines

1237:    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().

1239: .seealso: [](chapter_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1240:           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1241: M*/
1242: #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1243:   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
1244:     if (cols[__i] >= __end) onz[row - __rstart]++; \
1245:     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1246:   })

1248: /*MC
1249:    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists

1251:    Synopsis:
1252: #include <petscmat.h>
1253:    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)

1255:    Not Collective

1257:    Input Parameters:
1258: +  A - matrix
1259: .  row - row where values exist (must be local to this process)
1260: .  ncols - number of columns
1261: .  cols - columns with nonzeros
1262: .  dnz - the array that will be passed to the matrix preallocation routines
1263: -  onz - the other array passed to the matrix preallocation routines

1265:    Level: deprecated (since v3.19)

1267:    Notes:
1268:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1269:    the use of this routine

1271:    Do not malloc or free `dnz` and `onz` that is handled internally by these routines

1273:    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.

1275: .seealso: [](chapter_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1276:           `MatPreallocateSymmetricSetLocalBlock()`
1277: M*/
1278: #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))

1280: /*MC
1281:    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1282:        row in a matrix providing the data that one can use to correctly preallocate the matrix.

1284:    Synopsis:
1285: #include <petscmat.h>
1286:    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)

1288:    Collective

1290:    Input Parameters:
1291: +  dnz - the array that was be passed to the matrix preallocation routines
1292: -  onz - the other array passed to the matrix preallocation routines

1294:    Level: deprecated (since v3.19)

1296:    Notes:
1297:    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1298:    the use of this routine

1300:    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines

1302:    Developer Note:
1303:     This is a MACRO not a function because it closes the { started in MatPreallocateBegin().

1305: .seealso: [](chapter_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1306:           `MatPreallocateSymmetricSetLocalBlock()`
1307: M*/
1308: #define MatPreallocateEnd(dnz, onz) \
1309:   PetscCall(PetscFree2(dnz, onz)); \
1310:   } \
1311:   while (0)

1313: #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateEnd() (since version 3.18)\"") MatPreallocateEnd(__VA_ARGS__)

1315: /* Routines unique to particular data structures */
1316: PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, void *);

1318: PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1319: PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);

1321: PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1322: PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1323: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1324: PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1325: PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1326: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscInt, PetscBool);

1328: #define MAT_SKIP_ALLOCATION -4

1330: PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1331: PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1332: PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1333: PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);

1335: PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1336: PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1337: PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1338: PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1339: PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1340: PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1341: PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1342: PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1343: PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1344: PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1345: PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1346: PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1347: PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1348: PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1349: PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);

1351: PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1352: PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1353: PETSC_DEPRECATED_FUNCTION("Use MatDenseSetLDA() (since version 3.14)") static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
1354: {
1355:   return MatDenseSetLDA(A, lda);
1356: }
1357: PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);

1359: PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);

1361: PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1362: PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);

1364: PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1365: PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1366: /*
1367:   These routines are not usually accessed directly, rather solving is
1368:   done through the KSP and PC interfaces.
1369: */

1371: /*J
1372:     MatOrderingType - String with the name of a PETSc matrix ordering. These orderings are most commonly used
1373:     to reduce fill in sparse factorizations.

1375:    Level: beginner

1377:    Notes:
1378:    If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and instead the external package called utilizes one
1379:    in the external the factorization package

1381:    There is no `MatOrdering` object, the ordering is obtained directly from the matrix with `MatGetOrdering()`

1383:    Developer Note:
1384:    This API should be converted to an API similar to those for `MatColoring` and `MatPartitioning`

1386: .seealso: [](chapter_matrices), [](sec_graph), `MatGetFactor()`, `MatGetOrdering()`, `MatColoringType`, `MatPartitioningType`, `MatCoarsenType`, `MatCoarsenType`,
1387:           `PCFactorSetOrderingType()`
1388: J*/
1389: typedef const char *MatOrderingType;
1390: #define MATORDERINGNATURAL       "natural"
1391: #define MATORDERINGND            "nd"
1392: #define MATORDERING1WD           "1wd"
1393: #define MATORDERINGRCM           "rcm"
1394: #define MATORDERINGQMD           "qmd"
1395: #define MATORDERINGROWLENGTH     "rowlength"
1396: #define MATORDERINGWBM           "wbm"
1397: #define MATORDERINGSPECTRAL      "spectral"
1398: #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1399: #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1400: #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 */
1401: #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */

1403: PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1404: PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1405: PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1406: PETSC_EXTERN PetscFunctionList MatOrderingList;

1408: #include "petscmatcoarsen.h"

1410: PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1411: PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);

1413: PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);

1415: /*S
1416:     MatFactorShiftType - Type of numeric shift used for factorizations

1418:    Values:
1419: +  `MAT_SHIFT_NONE` - do not shift the matrix diagonal entries
1420: .  `MAT_SHIFT_NONZERO` - shift the entries to be non-zero
1421: .  `MAT_SHIFT_POSITIVE_DEFINITE` - shift the entries to force the factorization to be positive definite
1422: -  `MAT_SHIFT_INBLOCKS` - only shift the factors inside the small dense diagonal blocks of the matrix, for example with `MATBAIJ`

1424:    Level: intermediate

1426: .seealso: [](chapter_matrices), `Mat`, `MatGetFactor()`, `PCFactorSetShiftType()`
1427: S*/
1428: typedef enum {
1429:   MAT_SHIFT_NONE,
1430:   MAT_SHIFT_NONZERO,
1431:   MAT_SHIFT_POSITIVE_DEFINITE,
1432:   MAT_SHIFT_INBLOCKS
1433: } MatFactorShiftType;
1434: PETSC_EXTERN const char *const MatFactorShiftTypes[];
1435: PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];

1437: /*S
1438:     MatFactorError - indicates what type of error was generated in a matrix factorization

1440:     Values:
1441: +   `MAT_FACTOR_NOERROR` - there was no error during the factorization
1442: .   `MAT_FACTOR_STRUCT_ZEROPIVOT` - there was a missing entry in a diagonal location of the matrix
1443: .   `MAT_FACTOR_NUMERIC_ZEROPIVOT` - there was a (near) zero pivot during the factorization
1444: .   `MAT_FACTOR_OUTMEMORY` - the factorization has run out of memory
1445: -   `MAT_FACTOR_OTHER` - some other error has occurred.

1447:     Level: intermediate

1449:     Note:
1450:     When a factorization is done in a preconditioner `PC` the error may be propagated up to a `PCFailedReason` or a `KSPConvergedReason`

1452: .seealso: [](chapter_matrices), `Mat`, `MatGetFactor()`, `MatFactorGetError()`, `MatFactorGetErrorZeroPivot()`, `MatFactorClearError()`,
1453:           `PCFailedReason`, `PCGetFailedReason()`, `KSPConvergedReason`
1454: S*/
1455: typedef enum {
1456:   MAT_FACTOR_NOERROR,
1457:   MAT_FACTOR_STRUCT_ZEROPIVOT,
1458:   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1459:   MAT_FACTOR_OUTMEMORY,
1460:   MAT_FACTOR_OTHER
1461: } MatFactorError;

1463: PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1464: PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1465: PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);

1467: /*S
1468:    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization

1470:    Level: developer

1472:    Note:
1473:    You can use `MatFactorInfoInitialize()` to set default values.

1475:    Fortran Note:
1476:    The data is available in a double precision arrays of size `MAT_FACTORINFO_SIZE`

1478: .seealso: [](chapter_matrices), `Mat`, `MatInfo`, `MatGetFactor()`, `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`,
1479:           `MatICCFactorSymbolic()`, `MatICCFactor()`,  `MatFactorInfoInitialize()`
1480: S*/
1481: typedef struct {
1482:   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1483:   PetscReal usedt;
1484:   PetscReal dt;            /* drop tolerance */
1485:   PetscReal dtcol;         /* tolerance for pivoting */
1486:   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1487:   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1488:   PetscReal levels;        /* ICC/ILU(levels) */
1489:   PetscReal pivotinblocks; /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1490:                                    factorization may be faster if do not pivot */
1491:   PetscReal zeropivot;     /* pivot is called zero if less than this */
1492:   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1493:   PetscReal shiftamount;   /* how large the shift is */
1494: } MatFactorInfo;

1496: PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1497: PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1498: PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1499: PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1500: PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1501: PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1502: PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1503: PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1504: PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1505: PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1506: PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1507: PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1508: PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1509: PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1510: PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1511: PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1512: PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1513: PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1514: PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1515: PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1516: PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1517: PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1518: PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);

1520: typedef enum {
1521:   MAT_FACTOR_SCHUR_UNFACTORED,
1522:   MAT_FACTOR_SCHUR_FACTORED,
1523:   MAT_FACTOR_SCHUR_INVERTED
1524: } MatFactorSchurStatus;
1525: PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1526: PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1527: PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1528: PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1529: PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1530: PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1531: PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1532: PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);

1534: PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1535: /*E
1536:     MatSORType - What type of (S)SOR to perform

1538:    Values:
1539: +  `SOR_FORWARD_SWEEP` - do a sweep from the first row of the matrix to the last
1540: .  `SOR_BACKWARD_SWEEP` -  do a sweep from the last row to the first
1541: .  `SOR_SYMMETRIC_SWEEP` - do a sweep from the first row to the last and then back to the first
1542: .  `SOR_LOCAL_FORWARD_SWEEP` - each MPI rank does its own forward sweep with no communication
1543: .  `SOR_LOCAL_BACKWARD_SWEEP` - each MPI rank does its own backward sweep with no communication
1544: .  `SOR_LOCAL_SYMMETRIC_SWEEP` - each MPI rank does its own symmetric sweep with no communication
1545: .  `SOR_ZERO_INITIAL_GUESS` - indicates the initial solution is zero so the sweep can avoid unneeded computation
1546: .  `SOR_EISENSTAT` - apply the Eisentat application of SOR, see `PCEISENSTAT`
1547: .  `SOR_APPLY_UPPER` - multiply by the upper triangular portion of the matrix
1548: -  `SOR_APPLY_LOWER` - multiply by the lower triangular portion of the matrix

1550:     Level: beginner

1552:    Note:
1553:    These may be bitwise ORd together

1555:    Developer Note:
1556:    Since `MatSORType` may be bitwise ORd together, so do not change the numerical values below

1558: .seealso: [](chapter_matrices), `MatSOR()`
1559: E*/
1560: typedef enum {
1561:   SOR_FORWARD_SWEEP         = 1,
1562:   SOR_BACKWARD_SWEEP        = 2,
1563:   SOR_SYMMETRIC_SWEEP       = 3,
1564:   SOR_LOCAL_FORWARD_SWEEP   = 4,
1565:   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1566:   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1567:   SOR_ZERO_INITIAL_GUESS    = 16,
1568:   SOR_EISENSTAT             = 32,
1569:   SOR_APPLY_UPPER           = 64,
1570:   SOR_APPLY_LOWER           = 128
1571: } MatSORType;
1572: PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);

1574: /*S
1575:      MatColoring - Object for managing the coloring of matrices.

1577:    Level: beginner

1579:    Notes:
1580:    Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1581:    matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).

1583:    Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1584:    same object can also be used to efficiently convert data created by Automatic Differentiation tools to PETSc sparse matrices.

1586: .seealso: [](chapter_matrices), [](sec_graph), `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`,
1587:           `MatPartitioning`, `MatColoringType`, `MatPartitioningType`, `MatOrderingType`,  `MatColoringSetWeightType()`,
1588:           `MatColoringSetWeights()`, `MatCoarsenType`,  `MatCoarsen`
1589: S*/
1590: typedef struct _p_MatColoring *MatColoring;

1592: /*J
1593:     MatColoringType - String with the name of a PETSc matrix coloring

1595:    Level: beginner

1597: .seealso: [](chapter_matrices), [](sec_graph), `Mat`, `MatFDColoringCreate()`, `MatColoringSetType()`, `MatColoring`
1598: J*/
1599: typedef const char *MatColoringType;
1600: #define MATCOLORINGJP      "jp"
1601: #define MATCOLORINGPOWER   "power"
1602: #define MATCOLORINGNATURAL "natural"
1603: #define MATCOLORINGSL      "sl"
1604: #define MATCOLORINGLF      "lf"
1605: #define MATCOLORINGID      "id"
1606: #define MATCOLORINGGREEDY  "greedy"

1608: /*E
1609:    MatColoringWeightType - Type of weight scheme used for the coloring algorithm

1611:     Values:
1612: +   `MAT_COLORING_RANDOM`  - Random weights
1613: .   `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1614: -   `MAT_COLORING_LF`      - Last-first weighting.

1616:     Level: intermediate

1618: .seealso: [](chapter_matrices), `MatColoring`, `MatColoringCreate()`, `MatColoringSetWeightType()`, `MatColoringSetWeights()`
1619: E*/
1620: typedef enum {
1621:   MAT_COLORING_WEIGHT_RANDOM,
1622:   MAT_COLORING_WEIGHT_LEXICAL,
1623:   MAT_COLORING_WEIGHT_LF,
1624:   MAT_COLORING_WEIGHT_SL
1625: } MatColoringWeightType;

1627: PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1628: PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1629: PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1630: PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1631: PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1632: PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1633: PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1634: PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1635: PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1636: PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1637: PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1638: PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1639: PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1640: PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1641: PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1642: PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1643: PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1644: PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
1645: {
1646:   return MatColoringTest(matcoloring, iscoloring);
1647: }
1648: PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);

1650: /*S
1651:      MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring

1653:    Level: beginner

1655:    Notes:
1656:    This object is creating utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`

1658:    The `SNES` option `-snes_fd_coloring` will cause the Jacobian needed by `SNES` to be computed via a use of this object

1660: .seealso: [](chapter_matrices), `Mat`, `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1661: S*/
1662: typedef struct _p_MatFDColoring *MatFDColoring;

1664: PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1665: PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1666: PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1667: PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, PetscErrorCode (*)(void), void *);
1668: PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, PetscErrorCode (**)(void), void **);
1669: PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1670: PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1671: PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1672: PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1673: PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1674: PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1675: PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1676: PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);

1678: /*S
1679:      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring

1681:    Level: developer

1683: .seealso: [](chapter_matrices), `Mat`, `MatProductType`, `MatTransposeColoringCreate()`
1684: S*/
1685: typedef struct _p_MatTransposeColoring *MatTransposeColoring;

1687: PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1688: PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1689: PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1690: PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);

1692: /*S
1693:      MatPartitioning - Object for managing the partitioning of a matrix or graph

1695:    Level: beginner

1697:    Note:
1698:      There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1699:      via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)

1701:    Developers Note:
1702:      It is an extra maintenance and documentation cost to have two objects with the same functionality. `PetscPartitioner` should be removed

1704: .seealso: [](chapter_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`, `MatOrderingType`,
1705:           `MatCoarsenType`, `MatCoarsenType`
1706: S*/
1707: typedef struct _p_MatPartitioning *MatPartitioning;

1709: /*J
1710:     MatPartitioningType - String with the name of a PETSc matrix partitioning

1712:    Level: beginner
1713: dm
1714: .seealso: [](chapter_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`, `MatColoringType`, `MatOrderingType`,
1715:           `MatCoarsenType`, `MatCoarsenType`
1716: J*/
1717: typedef const char *MatPartitioningType;
1718: #define MATPARTITIONINGCURRENT  "current"
1719: #define MATPARTITIONINGAVERAGE  "average"
1720: #define MATPARTITIONINGSQUARE   "square"
1721: #define MATPARTITIONINGPARMETIS "parmetis"
1722: #define MATPARTITIONINGCHACO    "chaco"
1723: #define MATPARTITIONINGPARTY    "party"
1724: #define MATPARTITIONINGPTSCOTCH "ptscotch"
1725: #define MATPARTITIONINGHIERARCH "hierarch"

1727: PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1728: PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1729: PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1730: PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1731: PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1732: PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1733: PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1734: PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1735: PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1736: PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1737: PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1738: PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1739: PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1740: PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1741: PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1742: PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1743: PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1744: PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1745: PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);

1747: PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1748: PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1749: PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);

1751: typedef enum {
1752:   MP_CHACO_MULTILEVEL = 1,
1753:   MP_CHACO_SPECTRAL   = 2,
1754:   MP_CHACO_LINEAR     = 4,
1755:   MP_CHACO_RANDOM     = 5,
1756:   MP_CHACO_SCATTERED  = 6
1757: } MPChacoGlobalType;
1758: PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1759: typedef enum {
1760:   MP_CHACO_KERNIGHAN = 1,
1761:   MP_CHACO_NONE      = 2
1762: } MPChacoLocalType;
1763: PETSC_EXTERN const char *const MPChacoLocalTypes[];
1764: typedef enum {
1765:   MP_CHACO_LANCZOS = 0,
1766:   MP_CHACO_RQI     = 1
1767: } MPChacoEigenType;
1768: PETSC_EXTERN const char *const MPChacoEigenTypes[];

1770: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1771: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1772: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1773: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1774: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1775: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1776: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1777: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1778: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1779: PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1780: PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);

1782: #define MP_PARTY_OPT "opt"
1783: #define MP_PARTY_LIN "lin"
1784: #define MP_PARTY_SCA "sca"
1785: #define MP_PARTY_RAN "ran"
1786: #define MP_PARTY_GBF "gbf"
1787: #define MP_PARTY_GCF "gcf"
1788: #define MP_PARTY_BUB "bub"
1789: #define MP_PARTY_DEF "def"
1790: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1791: #define MP_PARTY_HELPFUL_SETS  "hs"
1792: #define MP_PARTY_KERNIGHAN_LIN "kl"
1793: #define MP_PARTY_NONE          "no"
1794: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1795: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1796: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1797: PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);

1799: typedef enum {
1800:   MP_PTSCOTCH_DEFAULT,
1801:   MP_PTSCOTCH_QUALITY,
1802:   MP_PTSCOTCH_SPEED,
1803:   MP_PTSCOTCH_BALANCE,
1804:   MP_PTSCOTCH_SAFETY,
1805:   MP_PTSCOTCH_SCALABILITY
1806: } MPPTScotchStrategyType;
1807: PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];

1809: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1810: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1811: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1812: PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);

1814: /*
1815:  * hierarchical partitioning
1816:  */
1817: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1818: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1819: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1820: PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);

1822: PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);

1824: /*
1825:     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1826:     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1827: */
1828: typedef enum {
1829:   MATOP_SET_VALUES               = 0,
1830:   MATOP_GET_ROW                  = 1,
1831:   MATOP_RESTORE_ROW              = 2,
1832:   MATOP_MULT                     = 3,
1833:   MATOP_MULT_ADD                 = 4,
1834:   MATOP_MULT_TRANSPOSE           = 5,
1835:   MATOP_MULT_TRANSPOSE_ADD       = 6,
1836:   MATOP_SOLVE                    = 7,
1837:   MATOP_SOLVE_ADD                = 8,
1838:   MATOP_SOLVE_TRANSPOSE          = 9,
1839:   MATOP_SOLVE_TRANSPOSE_ADD      = 10,
1840:   MATOP_LUFACTOR                 = 11,
1841:   MATOP_CHOLESKYFACTOR           = 12,
1842:   MATOP_SOR                      = 13,
1843:   MATOP_TRANSPOSE                = 14,
1844:   MATOP_GETINFO                  = 15,
1845:   MATOP_EQUAL                    = 16,
1846:   MATOP_GET_DIAGONAL             = 17,
1847:   MATOP_DIAGONAL_SCALE           = 18,
1848:   MATOP_NORM                     = 19,
1849:   MATOP_ASSEMBLY_BEGIN           = 20,
1850:   MATOP_ASSEMBLY_END             = 21,
1851:   MATOP_SET_OPTION               = 22,
1852:   MATOP_ZERO_ENTRIES             = 23,
1853:   MATOP_ZERO_ROWS                = 24,
1854:   MATOP_LUFACTOR_SYMBOLIC        = 25,
1855:   MATOP_LUFACTOR_NUMERIC         = 26,
1856:   MATOP_CHOLESKY_FACTOR_SYMBOLIC = 27,
1857:   MATOP_CHOLESKY_FACTOR_NUMERIC  = 28,
1858:   MATOP_SETUP                    = 29,
1859:   MATOP_ILUFACTOR_SYMBOLIC       = 30,
1860:   MATOP_ICCFACTOR_SYMBOLIC       = 31,
1861:   MATOP_GET_DIAGONAL_BLOCK       = 32,
1862:   MATOP_SET_INF                  = 33,
1863:   MATOP_DUPLICATE                = 34,
1864:   MATOP_FORWARD_SOLVE            = 35,
1865:   MATOP_BACKWARD_SOLVE           = 36,
1866:   MATOP_ILUFACTOR                = 37,
1867:   MATOP_ICCFACTOR                = 38,
1868:   MATOP_AXPY                     = 39,
1869:   MATOP_CREATE_SUBMATRICES       = 40,
1870:   MATOP_INCREASE_OVERLAP         = 41,
1871:   MATOP_GET_VALUES               = 42,
1872:   MATOP_COPY                     = 43,
1873:   MATOP_GET_ROW_MAX              = 44,
1874:   MATOP_SCALE                    = 45,
1875:   MATOP_SHIFT                    = 46,
1876:   MATOP_DIAGONAL_SET             = 47,
1877:   MATOP_ZERO_ROWS_COLUMNS        = 48,
1878:   MATOP_SET_RANDOM               = 49,
1879:   MATOP_GET_ROW_IJ               = 50,
1880:   MATOP_RESTORE_ROW_IJ           = 51,
1881:   MATOP_GET_COLUMN_IJ            = 52,
1882:   MATOP_RESTORE_COLUMN_IJ        = 53,
1883:   MATOP_FDCOLORING_CREATE        = 54,
1884:   MATOP_COLORING_PATCH           = 55,
1885:   MATOP_SET_UNFACTORED           = 56,
1886:   MATOP_PERMUTE                  = 57,
1887:   MATOP_SET_VALUES_BLOCKED       = 58,
1888:   MATOP_CREATE_SUBMATRIX         = 59,
1889:   MATOP_DESTROY                  = 60,
1890:   MATOP_VIEW                     = 61,
1891:   MATOP_CONVERT_FROM             = 62,
1892:   /* MATOP_PLACEHOLDER_63=63 */
1893:   MATOP_MATMAT_MULT_SYMBOLIC    = 64,
1894:   MATOP_MATMAT_MULT_NUMERIC     = 65,
1895:   MATOP_SET_LOCAL_TO_GLOBAL_MAP = 66,
1896:   MATOP_SET_VALUES_LOCAL        = 67,
1897:   MATOP_ZERO_ROWS_LOCAL         = 68,
1898:   MATOP_GET_ROW_MAX_ABS         = 69,
1899:   MATOP_GET_ROW_MIN_ABS         = 70,
1900:   MATOP_CONVERT                 = 71,
1901:   MATOP_HAS_OPERATION           = 72,
1902:   /* MATOP_PLACEHOLDER_73=73, */
1903:   MATOP_SET_VALUES_ADIFOR = 74,
1904:   MATOP_FD_COLORING_APPLY = 75,
1905:   MATOP_SET_FROM_OPTIONS  = 76,
1906:   /* MATOP_PLACEHOLDER_77=77, */
1907:   /* MATOP_PLACEHOLDER_78=78, */
1908:   MATOP_FIND_ZERO_DIAGONALS       = 79,
1909:   MATOP_MULT_MULTIPLE             = 80,
1910:   MATOP_SOLVE_MULTIPLE            = 81,
1911:   MATOP_GET_INERTIA               = 82,
1912:   MATOP_LOAD                      = 83,
1913:   MATOP_IS_SYMMETRIC              = 84,
1914:   MATOP_IS_HERMITIAN              = 85,
1915:   MATOP_IS_STRUCTURALLY_SYMMETRIC = 86,
1916:   MATOP_SET_VALUES_BLOCKEDLOCAL   = 87,
1917:   MATOP_CREATE_VECS               = 88,
1918:   /* MATOP_PLACEHOLDER_89=89, */
1919:   MATOP_MAT_MULT_SYMBOLIC = 90,
1920:   MATOP_MAT_MULT_NUMERIC  = 91,
1921:   /* MATOP_PLACEHOLDER_92=92, */
1922:   MATOP_PTAP_SYMBOLIC = 93,
1923:   MATOP_PTAP_NUMERIC  = 94,
1924:   /* MATOP_PLACEHOLDER_95=95, */
1925:   MATOP_MAT_TRANSPOSE_MULT_SYMBO = 96,
1926:   MATOP_MAT_TRANSPOSE_MULT_NUMER = 97,
1927:   MATOP_BIND_TO_CPU              = 98,
1928:   MATOP_PRODUCTSETFROMOPTIONS    = 99,
1929:   MATOP_PRODUCTSYMBOLIC          = 100,
1930:   MATOP_PRODUCTNUMERIC           = 101,
1931:   MATOP_CONJUGATE                = 102,
1932:   MATOP_VIEW_NATIVE              = 103,
1933:   MATOP_SET_VALUES_ROW           = 104,
1934:   MATOP_REAL_PART                = 105,
1935:   MATOP_IMAGINARY_PART           = 106,
1936:   MATOP_GET_ROW_UPPER_TRIANGULAR = 107,
1937:   MATOP_RESTORE_ROW_UPPER_TRIANG = 108,
1938:   MATOP_MAT_SOLVE                = 109,
1939:   MATOP_MAT_SOLVE_TRANSPOSE      = 110,
1940:   MATOP_GET_ROW_MIN              = 111,
1941:   MATOP_GET_COLUMN_VECTOR        = 112,
1942:   MATOP_MISSING_DIAGONAL         = 113,
1943:   MATOP_GET_SEQ_NONZERO_STRUCTUR = 114,
1944:   MATOP_CREATE                   = 115,
1945:   MATOP_GET_GHOSTS               = 116,
1946:   MATOP_GET_LOCAL_SUB_MATRIX     = 117,
1947:   MATOP_RESTORE_LOCALSUB_MATRIX  = 118,
1948:   MATOP_MULT_DIAGONAL_BLOCK      = 119,
1949:   MATOP_HERMITIAN_TRANSPOSE      = 120,
1950:   MATOP_MULT_HERMITIAN_TRANSPOSE = 121,
1951:   MATOP_MULT_HERMITIAN_TRANS_ADD = 122,
1952:   MATOP_GET_MULTI_PROC_BLOCK     = 123,
1953:   MATOP_FIND_NONZERO_ROWS        = 124,
1954:   MATOP_GET_COLUMN_NORMS         = 125,
1955:   MATOP_INVERT_BLOCK_DIAGONAL    = 126,
1956:   MATOP_INVERT_VBLOCK_DIAGONAL   = 127,
1957:   MATOP_CREATE_SUB_MATRICES_MPI  = 128,
1958:   MATOP_SET_VALUES_BATCH         = 129,
1959:   /* MATOP_PLACEHOLDER_130=130, */
1960:   MATOP_TRANSPOSE_MAT_MULT_SYMBO = 131,
1961:   MATOP_TRANSPOSE_MAT_MULT_NUMER = 132,
1962:   MATOP_TRANSPOSE_COLORING_CREAT = 133,
1963:   MATOP_TRANS_COLORING_APPLY_SPT = 134,
1964:   MATOP_TRANS_COLORING_APPLY_DEN = 135,
1965:   /* MATOP_PLACEHOLDER_136=136, */
1966:   MATOP_RART_SYMBOLIC         = 137,
1967:   MATOP_RART_NUMERIC          = 138,
1968:   MATOP_SET_BLOCK_SIZES       = 139,
1969:   MATOP_AYPX                  = 140,
1970:   MATOP_RESIDUAL              = 141,
1971:   MATOP_FDCOLORING_SETUP      = 142,
1972:   MATOP_FIND_OFFBLOCK_ENTRIES = 143,
1973:   MATOP_MPICONCATENATESEQ     = 144,
1974:   MATOP_DESTROYSUBMATRICES    = 145,
1975:   MATOP_TRANSPOSE_SOLVE       = 146,
1976:   MATOP_GET_VALUES_LOCAL      = 147
1977: } MatOperation;
1978: PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, void (*)(void));
1979: PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, void (**)(void));
1980: PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
1981: PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
1982: PETSC_DEPRECATED_FUNCTION("Use MatProductClear() (since version 3.14)") static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
1983: {
1984:   return MatProductClear(A);
1985: }
1986: PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, void (*)(void));
1987: PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, void (**)(void));
1988: PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, void *);
1989: PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscErrorCode (*)(void *));
1990: PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
1991: PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
1992: PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
1993: PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1994: PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscErrorCode (*)(void *), MatType, MatType);
1995: PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);

1997: /*
1998:    Codes for matrices stored on disk. By default they are
1999:    stored in a universal format. By changing the format with
2000:    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
2001:    be stored in a way natural for the matrix, for example dense matrices
2002:    would be stored as dense. Matrices stored this way may only be
2003:    read into matrices of the same type.
2004: */
2005: #define MATRIX_BINARY_FORMAT_DENSE -1

2007: PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);

2009: PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
2010: PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
2011: PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
2012: PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
2013: PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
2014: PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
2015: PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
2016: PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
2017: PETSC_EXTERN                PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat, MatReuse, Mat *);

2019: /*S
2020:      MatNullSpace - Object that removes a null space from a vector, i.e.
2021:          orthogonalizes the vector to a subspace

2023:    Level: advanced

2025: .seealso: [](chapter_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2026: S*/
2027: typedef struct _p_MatNullSpace *MatNullSpace;

2029: PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
2030: PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, PetscErrorCode (*)(MatNullSpace, Vec, void *), void *);
2031: PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
2032: PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
2033: PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
2034: PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
2035: PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
2036: PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
2037: PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
2038: PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
2039: PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
2040: PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
2041: PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
2042: PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);

2044: PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
2045: PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
2046: PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);

2048: PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
2049: PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
2050: PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);

2052: PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
2053: PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);

2055: PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
2056: {
2057:   return MatComputeOperator(A, NULL, B);
2058: }
2059: PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
2060: {
2061:   return MatComputeOperatorTranspose(A, NULL, B);
2062: }

2064: PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
2065: PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
2066: PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
2067: PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2068: PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
2069: PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
2070: PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
2071: PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2072: PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
2073: PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
2074: PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
2075: PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
2076: PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
2077: PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);

2079: PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);

2081: PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2082: PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
2083: PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, PetscErrorCode (*)(void *, Vec, Vec), void *);
2084: PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, PetscErrorCode (*)(void *, PetscInt, Vec, PetscScalar *));
2085: PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, PetscErrorCode (*)(void *, Vec));
2086: PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
2087: PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
2088: PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
2089: PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
2090: PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
2091: PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
2092: PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
2093: PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, PetscErrorCode (*)(void *, Vec, Vec, PetscScalar *), void *);

2095: /*S
2096:     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2097:               Jacobian vector products

2099:     Level: developer

2101:     Notes:
2102:     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure

2104:      MatMFFD*() methods actually take the `Mat` as their first argument. Not a `MatMFFD` data structure

2106:     This functionality is often obtained using `MatCreateSNESMF()` or with `SNES` solvers using `-snes_mf` or `-snes_mf_operator`

2108: .seealso: [](chapter_matrices), `MatMFFDType`, `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`,
2109:           `MatCreateSNESMF()`, `SNES`, `-snes_mf`, `-snes_mf_operator`
2110: S*/
2111: typedef struct _p_MatMFFD *MatMFFD;

2113: /*J
2114:     MatMFFDType - algorithm used to compute the `h` used in computing matrix-vector products via differencing of a function

2116:    Level: beginner

2118: .seealso: [](chapter_matrices), `MatMFFDSetType()`, `MatMFFDRegister()`, `MatMFFDSetFunction()`, `MatCreateMFFD()`
2119: J*/
2120: typedef const char *MatMFFDType;
2121: #define MATMFFD_DS "ds"
2122: #define MATMFFD_WP "wp"

2124: PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2125: PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));

2127: PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2128: PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);

2130: PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);

2132: PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2133: PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);

2135: #ifdef PETSC_HAVE_H2OPUS
2136: PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatH2OpusKernel)(PetscInt, PetscReal[], PetscReal[], void *);
2137: PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernel, void *, PetscReal, PetscInt, PetscInt, Mat *);
2138: PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2139: PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2140: PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
2141: PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat, PetscReal);
2142: PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat, PetscBool);
2143: PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat, PetscBool *);
2144: PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat, IS *);
2145: PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2146: PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2147: #endif

2149: #ifdef PETSC_HAVE_HTOOL
2150: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatHtoolKernel)(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2151: PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernel, void *, Mat *);
2152: PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat, MatHtoolKernel, void *);
2153: PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat, IS *);
2154: PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat, IS *);
2155: PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat, PetscBool);

2157: /*E
2158:      MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`

2160:    Level: intermediate

2162:     Values:
2163: +   `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2164: .   `MAT_HTOOL_COMPRESSOR_FULL_ACA` - full adaptive cross approximation
2165: -   `MAT_HTOOL_COMPRESSOR_SVD` - singular value decomposition

2167: .seealso: [](chapter_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2168: E*/
2169: typedef enum {
2170:   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2171:   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2172:   MAT_HTOOL_COMPRESSOR_SVD
2173: } MatHtoolCompressorType;

2175: /*E
2176:      MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`

2178:    Level: intermediate

2180:     Values:
2181: +   `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default) - axis computed via principle component analysis, split uniformly
2182: .   `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC` - axis computed via principle component analysis, split barycentrically
2183: .   `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR` - axis along the largest extent of the bounding box, split uniformly
2184: -   `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically

2186:     Note:
2187:     Higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types

2189: .seealso: [](chapter_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2190: E*/
2191: typedef enum {
2192:   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2193:   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2194:   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2195:   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2196: } MatHtoolClusteringType;
2197: #endif

2199: #ifdef PETSC_HAVE_MUMPS
2200: PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2201: PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2202: PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2203: PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);

2205: PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2206: PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2207: PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2208: PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2209: PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2210: PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2211: #endif

2213: #ifdef PETSC_HAVE_MKL_PARDISO
2214: PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2215: #endif

2217: #ifdef PETSC_HAVE_MKL_CPARDISO
2218: PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2219: #endif

2221: #ifdef PETSC_HAVE_SUPERLU
2222: PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2223: #endif

2225: #ifdef PETSC_HAVE_SUPERLU_DIST
2226: PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2227: #endif

2229: #ifdef PETSC_HAVE_STRUMPACK
2230: /*E
2231:     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `MATSOLVERSTRUMPACK``

2233:     Level: intermediate

2235:     Values:
2236: +  `MAT_STRUMPACK_NATURAL` - use the current ordering
2237: .  `MAT_STRUMPACK_METIS` - use MeTis to compute an ordering
2238: .  `MAT_STRUMPACK_PARMETIS` - use ParMeTis to compute an ordering
2239: .  `MAT_STRUMPACK_SCOTCH` - use Scotch to compute an ordering
2240: .  `MAT_STRUMPACK_PTSCOTCH` - use parallel Scotch to compute an ordering
2241: -  `MAT_STRUMPACK_RCM` - use an RCM ordering

2243:     Developer Note:
2244:     Should be called `MatSTRUMPACKReorderingType`

2246: .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetHSSRelTol()`, `MatSTRUMPACKSetReordering()`
2247: E*/
2248: typedef enum {
2249:   MAT_STRUMPACK_NATURAL  = 0,
2250:   MAT_STRUMPACK_METIS    = 1,
2251:   MAT_STRUMPACK_PARMETIS = 2,
2252:   MAT_STRUMPACK_SCOTCH   = 3,
2253:   MAT_STRUMPACK_PTSCOTCH = 4,
2254:   MAT_STRUMPACK_RCM      = 5
2255: } MatSTRUMPACKReordering;

2257: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2258: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2259: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat, PetscReal);
2260: PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat, PetscReal rtol)
2261: {
2262:   return MatSTRUMPACKSetHSSRelTol(mat, rtol);
2263: }
2264: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat, PetscReal);
2265: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat, PetscInt);
2266: PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat, PetscInt hssminsize)
2267: {
2268:   return MatSTRUMPACKSetHSSMinSepSize(mat, hssminsize);
2269: }
2270: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat, PetscInt);
2271: PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat, PetscInt);
2272: #endif

2274: PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2275: PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2276: PETSC_DEPRECATED_FUNCTION("Use MatBindToCPU (since v3.13)") static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2277: {
2278:   return MatBindToCPU(A, flg);
2279: }
2280: PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2281: PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);

2283: typedef struct _n_SplitCSRMat *PetscSplitCSRDataStructure;
2284: PETSC_EXTERN PetscErrorCode    MatCUSPARSEGetDeviceMatWrite(Mat, PetscSplitCSRDataStructure *);

2286: #ifdef PETSC_HAVE_KOKKOS_KERNELS
2287: PETSC_EXTERN PetscErrorCode MatKokkosGetDeviceMatWrite(Mat, PetscSplitCSRDataStructure *);
2288: PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosSetDeviceMat(Mat, PetscSplitCSRDataStructure);
2289: PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosGetDeviceMat(Mat, PetscSplitCSRDataStructure *);
2290: #endif

2292: #ifdef PETSC_HAVE_CUDA
2293: /*E
2294:     MatCUSPARSEStorageFormat - indicates the storage format for `MATAIJCUSPARSE` (GPU)
2295:     matrices.

2297:     Values:
2298: +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2299: .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2300: -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).

2302:     Level: intermediate

2304: .seealso: [](chapter_matrices), `MATAIJCUSPARSE`, `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2305: E*/

2307: typedef enum {
2308:   MAT_CUSPARSE_CSR,
2309:   MAT_CUSPARSE_ELL,
2310:   MAT_CUSPARSE_HYB
2311: } MatCUSPARSEStorageFormat;

2313: /* these will be strings associated with enumerated type defined above */
2314: PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];

2316: /*E
2317:     MatCUSPARSEFormatOperation - indicates the operation of `MATAIJCUSPARSE` (GPU)
2318:     matrices whose operation should use a particular storage format.

2320:     Values:
2321: +   `MAT_CUSPARSE_MULT_DIAG` - sets the storage format for the diagonal matrix in the parallel MatMult
2322: .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the offdiagonal matrix in the parallel MatMult
2323: .   `MAT_CUSPARSE_MULT` - sets the storage format for the entire matrix in the serial (single GPU) MatMult
2324: -   `MAT_CUSPARSE_ALL` - sets the storage format for all `MATAIJCUSPARSE` (GPU) matrices

2326:     Level: intermediate

2328: .seealso: [](chapter_matrices), `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2329: E*/
2330: typedef enum {
2331:   MAT_CUSPARSE_MULT_DIAG,
2332:   MAT_CUSPARSE_MULT_OFFDIAG,
2333:   MAT_CUSPARSE_MULT,
2334:   MAT_CUSPARSE_ALL
2335: } MatCUSPARSEFormatOperation;

2337: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2338: PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2339: PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2340: PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2341: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2342: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2343: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2344: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2345: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2346: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2347: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2348: PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);

2350: PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2351: PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2352: PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2353: PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2354: PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2355: PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2356: PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2357: PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2358: PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2359: PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2360: PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2361: #endif

2363: #ifdef PETSC_HAVE_HIP
2364: /*E
2365:     MatHIPSPARSEStorageFormat - indicates the storage format for `MATAIJHIPSPARSE` (GPU)
2366:     matrices.

2368:     Level: intermediate

2370:     Values:
2371: +   `MAT_HIPSPARSE_CSR` - Compressed Sparse Row
2372: .   `MAT_HIPSPARSE_ELL` - Ellpack
2373: -   `MAT_HIPSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format

2375: .seealso: [](chapter_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
2376: E*/

2378: typedef enum {
2379:   MAT_HIPSPARSE_CSR,
2380:   MAT_HIPSPARSE_ELL,
2381:   MAT_HIPSPARSE_HYB
2382: } MatHIPSPARSEStorageFormat;

2384: /* these will be strings associated with enumerated type defined above */
2385: PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];

2387: /*E
2388:     MatHIPSPARSEFormatOperation - indicates the operation of `MATAIJHIPSPARSE` (GPU)
2389:     matrices whose operation should use a particular storage format.

2391:     Level: intermediate

2393:     Values:
2394: +   `MAT_HIPSPARSE_MULT_DIAG` - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2395: .   `MAT_HIPSPARSE_MULT_OFFDIAG` - sets the storage format for the offdiagonal matrix in the parallel `MatMul()t`
2396: .   `MAT_HIPSPARSE_MULT` - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2397: -   `MAT_HIPSPARSE_ALL` - sets the storage format for all HIPSPARSE (GPU) matrices

2399: .seealso: [](chapter_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
2400: E*/
2401: typedef enum {
2402:   MAT_HIPSPARSE_MULT_DIAG,
2403:   MAT_HIPSPARSE_MULT_OFFDIAG,
2404:   MAT_HIPSPARSE_MULT,
2405:   MAT_HIPSPARSE_ALL
2406: } MatHIPSPARSEFormatOperation;

2408: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2409: PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2410: PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
2411: PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
2412: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2413: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2414: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
2415: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
2416: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
2417: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
2418: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
2419: PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);

2421: PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2422: PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2423: PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
2424: PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
2425: PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
2426: PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
2427: PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
2428: PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
2429: PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
2430: PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
2431: PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);
2432: #endif

2434: #if defined(PETSC_HAVE_VIENNACL)
2435: PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2436: PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2437: #endif

2439: #if defined(PETSC_HAVE_FFTW)
2440: PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2441: PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2442: PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2443: #endif

2445: #if defined(PETSC_HAVE_SCALAPACK)
2446: PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2447: PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2448: PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2449: #endif

2451: PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2452: PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2453: PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2454: PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2455: PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2456: PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2457: PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2458: PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2459: PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);

2461: PETSC_EXTERN PetscErrorCode MatChop(Mat, PetscReal);
2462: PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);

2464: PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);

2466: PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);

2468: PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2469: PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);

2471: PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);

2473: PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, Mat *);
2474: PETSC_EXTERN PetscErrorCode MatEliminateZeros(Mat);
2475: #endif