#include <Matrix.h>
Inheritance diagram for mat::Matrix< Treal, Telement >:
Public Types | |
typedef Telement | ElementType |
typedef Vector< Treal, typename ElementType::VectorType > | VectorType |
Public Member Functions | |
Matrix () | |
void | allocate () |
void | assignFromFull (std::vector< Treal > const &fullMat) |
void | fullMatrix (std::vector< Treal > &fullMat) const |
void | syFullMatrix (std::vector< Treal > &fullMat) const |
void | syUpTriFullMatrix (std::vector< Treal > &fullMat) const |
void | assignFromSparse (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > const &values) |
void | assignFromSparse (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > const &values, std::vector< int > const &indexes) |
void | addValues (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > const &values) |
void | addValues (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > const &values, std::vector< int > const &indexes) |
void | syAssignFromSparse (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > const &values) |
void | syAddValues (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > const &values) |
void | getValues (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > &values) const |
void | getValues (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > &, std::vector< int > const &indexes) const |
void | syGetValues (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > &values) const |
void | getAllValues (std::vector< int > &rowind, std::vector< int > &colind, std::vector< Treal > &) const |
void | syGetAllValues (std::vector< int > &rowind, std::vector< int > &colind, std::vector< Treal > &) const |
Matrix< Treal, Telement > & | operator= (const Matrix< Treal, Telement > &mat) |
void | clear () |
~Matrix () | |
void | writeToFile (std::ofstream &file) const |
void | readFromFile (std::ifstream &file) |
void | random () |
void | syRandom () |
void | randomZeroStructure (Treal probabilityBeingZero) |
Get a random zero structure with a specified probability that each submatrix is zero. | |
void | syRandomZeroStructure (Treal probabilityBeingZero) |
template<typename TRule> | |
void | setElementsByRule (TRule &rule) |
template<typename TRule> | |
void | sySetElementsByRule (TRule &rule) |
template<typename TRule> | |
void | trSetElementsByRule (TRule &rule) |
void | addIdentity (Treal alpha) |
void | symToNosym () |
void | nosymToSym () |
Matrix< Treal, Telement > & | operator= (int const k) |
Matrix< Treal, Telement > & | operator *= (const Treal alpha) |
Treal | frob () const |
Treal | frobSquared () const |
Treal | syFrob () const |
Treal | syFrobSquared () const |
Treal | trace () const |
void | assign (Treal const alpha, Matrix< Treal, Telement > const &A) |
void | getFrobSqLowestLevel (std::vector< Treal > &frobsq) const |
void | frobThreshLowestLevel (Treal const threshold, Matrix< Treal, Telement > *ErrorMatrix) |
void | getFrobSqElementLevel (std::vector< Treal > &frobsq) const |
void | frobThreshElementLevel (Treal const threshold, Matrix< Treal, Telement > *ErrorMatrix) |
void | assignFrobNormsLowestLevel (Matrix< Treal, Matrix< Treal, Telement > > const &A) |
Build a matrix with single matrix elements at the lowest level containing the Frobenius norms of the submatrices of A. | |
void | syAssignFrobNormsLowestLevel (Matrix< Treal, Matrix< Treal, Telement > > const &A) |
Version of assignFrobNormsLowestLevelToMatrix for symmetric matrices. | |
void | assignDiffFrobNormsLowestLevel (Matrix< Treal, Matrix< Treal, Telement > > const &A, Matrix< Treal, Matrix< Treal, Telement > > const &B) |
Same as assignFrobNormsLowestLevel except that the Frobenius norms of the differences between submatrices of A and B are assigned. | |
void | syAssignDiffFrobNormsLowestLevel (Matrix< Treal, Matrix< Treal, Telement > > const &A, Matrix< Treal, Matrix< Treal, Telement > > const &B) |
Same as syAssignFrobNormsLowestLevel except that the Frobenius norms of the differences between submatrices of A and B are assigned. | |
void | truncateAccordingToSparsityPattern (Matrix< Treal, Matrix< Treal, Telement > > &A) const |
Truncate matrix A according to the sparsity pattern of the this matrix (frobNormMat). | |
Treal | frob_thresh (Treal const threshold, Matrix< Treal, Telement > *ErrorMatrix=0) |
Removes small elements so that the introduced error is smaller than the threshold in the Frobenius norm Returns the Frobenius norm of the introduced error. | |
Treal | frob_squared_thresh (Treal const threshold, Matrix< Treal, Telement > *ErrorMatrix=0) |
Removes small elements so that the introduced error is smaller than threshold in the squared Frobenius norm, returns squared frobenius norm of the introduced error added to ErrorMatrix. | |
void | gersgorin (Treal &lmin, Treal &lmax) const |
void | sy_gersgorin (Treal &lmin, Treal &lmax) const |
void | add_abs_col_sums (Treal *abscolsums) const |
void | get_diagonal (Treal *diag) const |
size_t | memory_usage () const |
size_t | nnz () const |
Returns number of nonzeros in matrix. | |
size_t | sy_nnz () const |
Returns number of nonzeros in matrix including lower triangle elements. | |
size_t | nvalues () const |
Returns number of stored values in matrix. | |
size_t | sy_nvalues () const |
Returns number of stored values in matrix. | |
template<typename Top> | |
Treal | syAccumulateWith (Top &op) |
template<typename Top> | |
Treal | geAccumulateWith (Top &op) |
Accumulation algorithm for general matrices. | |
Treal | maxAbsValue () const |
Static Public Member Functions | |
static void | transpose (Matrix< Treal, Telement > const &A, Matrix< Treal, Telement > &AT) |
static void | gemm (const bool tA, const bool tB, const Treal alpha, const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B, const Treal beta, Matrix< Treal, Telement > &C) |
static void | symm (const char side, const char uplo, const Treal alpha, const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B, const Treal beta, Matrix< Treal, Telement > &C) |
static void | syrk (const char uplo, const bool tA, const Treal alpha, const Matrix< Treal, Telement > &A, const Treal beta, Matrix< Treal, Telement > &C) |
static void | sysq (const char uplo, const Treal alpha, const Matrix< Treal, Telement > &A, const Treal beta, Matrix< Treal, Telement > &C) |
static void | ssmm (const Treal alpha, const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B, const Treal beta, Matrix< Treal, Telement > &C) |
static void | ssmm_upper_tr_only (const Treal alpha, const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B, const Treal beta, Matrix< Treal, Telement > &C) |
static void | trmm (const char side, const char uplo, const bool tA, const Treal alpha, const Matrix< Treal, Telement > &A, Matrix< Treal, Telement > &B) |
static Treal | frobDiff (const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B) |
static Treal | frobSquaredDiff (const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B) |
static Treal | syFrobDiff (const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B) |
static Treal | syFrobSquaredDiff (const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B) |
static Treal | trace_ab (const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B) |
static Treal | trace_aTb (const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B) |
static Treal | sy_trace_ab (const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B) |
static void | add (const Treal alpha, const Matrix< Treal, Telement > &A, Matrix< Treal, Telement > &B) |
static void | gemm_upper_tr_only (const bool tA, const bool tB, const Treal alpha, const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B, const Treal beta, Matrix< Treal, Telement > &C) |
static void | sytr_upper_tr_only (char const side, const Treal alpha, Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &Z) |
static void | trmm_upper_tr_only (const char side, const char uplo, const bool tA, const Treal alpha, const Matrix< Treal, Telement > &A, Matrix< Treal, Telement > &B) |
static void | trsytriplemm (char const side, const Matrix< Treal, Telement > &Z, Matrix< Treal, Telement > &A) |
static void | syInch (const Matrix< Treal, Telement > &A, Matrix< Treal, Telement > &Z, const Treal threshold=0, const side looking=left, const inchversion version=unstable) |
static unsigned int | level () |
Friends | |
class | Vector< Treal, Telement > |
This class is used to obtain the hierarchic data structure.
Permutation
typedef Telement mat::Matrix< Treal, Telement >::ElementType |
typedef Vector<Treal, typename ElementType::VectorType> mat::Matrix< Treal, Telement >::VectorType |
mat::Matrix< Treal, Telement >::Matrix | ( | ) | [inline] |
mat::Matrix< Treal, Telement >::~Matrix | ( | ) | [inline] |
void mat::Matrix< Treal, Telement >::add | ( | const Treal | alpha, | |
const Matrix< Treal, Telement > & | A, | |||
Matrix< Treal, Telement > & | B | |||
) | [static] |
void mat::Matrix< Treal, Telement >::add_abs_col_sums | ( | Treal * | abscolsums | ) | const |
void mat::Matrix< Treal, Telement >::addIdentity | ( | Treal | alpha | ) |
void mat::Matrix< Treal, Telement >::addValues | ( | std::vector< int > const & | rowind, | |
std::vector< int > const & | colind, | |||
std::vector< Treal > const & | values, | |||
std::vector< int > const & | indexes | |||
) |
void mat::Matrix< Treal, Telement >::addValues | ( | std::vector< int > const & | rowind, | |
std::vector< int > const & | colind, | |||
std::vector< Treal > const & | values | |||
) |
void mat::Matrix< Treal, Telement >::allocate | ( | ) | [inline] |
void mat::Matrix< Treal, Telement >::assign | ( | Treal const | alpha, | |
Matrix< Treal, Telement > const & | A | |||
) |
void mat::Matrix< Treal, Telement >::assignDiffFrobNormsLowestLevel | ( | Matrix< Treal, Matrix< Treal, Telement > > const & | A, | |
Matrix< Treal, Matrix< Treal, Telement > > const & | B | |||
) |
Same as assignFrobNormsLowestLevel except that the Frobenius norms of the differences between submatrices of A and B are assigned.
void mat::Matrix< Treal, Telement >::assignFrobNormsLowestLevel | ( | Matrix< Treal, Matrix< Treal, Telement > > const & | A | ) |
Build a matrix with single matrix elements at the lowest level containing the Frobenius norms of the submatrices of A.
void mat::Matrix< Treal, Telement >::assignFromFull | ( | std::vector< Treal > const & | fullMat | ) |
void mat::Matrix< Treal, Telement >::assignFromSparse | ( | std::vector< int > const & | rowind, | |
std::vector< int > const & | colind, | |||
std::vector< Treal > const & | values, | |||
std::vector< int > const & | indexes | |||
) |
void mat::Matrix< Treal, Telement >::assignFromSparse | ( | std::vector< int > const & | rowind, | |
std::vector< int > const & | colind, | |||
std::vector< Treal > const & | values | |||
) |
void mat::Matrix< Treal, Telement >::clear | ( | ) |
Treal mat::Matrix< Treal, Telement >::frob | ( | ) | const [inline] |
Treal mat::Matrix< Treal, Telement >::frob_squared_thresh | ( | Treal const | threshold, | |
Matrix< Treal, Telement > * | ErrorMatrix = 0 | |||
) |
Removes small elements so that the introduced error is smaller than threshold in the squared Frobenius norm, returns squared frobenius norm of the introduced error added to ErrorMatrix.
Treal mat::Matrix< Treal, Telement >::frob_thresh | ( | Treal const | threshold, | |
Matrix< Treal, Telement > * | ErrorMatrix = 0 | |||
) | [inline] |
Removes small elements so that the introduced error is smaller than the threshold in the Frobenius norm Returns the Frobenius norm of the introduced error.
static Treal mat::Matrix< Treal, Telement >::frobDiff | ( | const Matrix< Treal, Telement > & | A, | |
const Matrix< Treal, Telement > & | B | |||
) | [inline, static] |
Treal mat::Matrix< Treal, Telement >::frobSquared | ( | ) | const |
Treal mat::Matrix< Treal, Telement >::frobSquaredDiff | ( | const Matrix< Treal, Telement > & | A, | |
const Matrix< Treal, Telement > & | B | |||
) | [static] |
void mat::Matrix< Treal, Telement >::frobThreshElementLevel | ( | Treal const | threshold, | |
Matrix< Treal, Telement > * | ErrorMatrix | |||
) |
void mat::Matrix< Treal, Telement >::frobThreshLowestLevel | ( | Treal const | threshold, | |
Matrix< Treal, Telement > * | ErrorMatrix | |||
) |
void mat::Matrix< Treal, Telement >::fullMatrix | ( | std::vector< Treal > & | fullMat | ) | const |
Treal mat::Matrix< Treal, Telement >::geAccumulateWith | ( | Top & | op | ) | [inline] |
Accumulation algorithm for general matrices.
void mat::Matrix< Treal, Telement >::gemm | ( | const bool | tA, | |
const bool | tB, | |||
const Treal | alpha, | |||
const Matrix< Treal, Telement > & | A, | |||
const Matrix< Treal, Telement > & | B, | |||
const Treal | beta, | |||
Matrix< Treal, Telement > & | C | |||
) | [static] |
void mat::Matrix< Treal, Telement >::gemm_upper_tr_only | ( | const bool | tA, | |
const bool | tB, | |||
const Treal | alpha, | |||
const Matrix< Treal, Telement > & | A, | |||
const Matrix< Treal, Telement > & | B, | |||
const Treal | beta, | |||
Matrix< Treal, Telement > & | C | |||
) | [static] |
void mat::Matrix< Treal, Telement >::gersgorin | ( | Treal & | lmin, | |
Treal & | lmax | |||
) | const |
void mat::Matrix< Treal, Telement >::get_diagonal | ( | Treal * | diag | ) | const |
void mat::Matrix< Treal, Telement >::getAllValues | ( | std::vector< int > & | rowind, | |
std::vector< int > & | colind, | |||
std::vector< Treal > & | ||||
) | const |
void mat::Matrix< Treal, Telement >::getFrobSqElementLevel | ( | std::vector< Treal > & | frobsq | ) | const |
void mat::Matrix< Treal, Telement >::getFrobSqLowestLevel | ( | std::vector< Treal > & | frobsq | ) | const |
void mat::Matrix< Treal, Telement >::getValues | ( | std::vector< int > const & | rowind, | |
std::vector< int > const & | colind, | |||
std::vector< Treal > & | , | |||
std::vector< int > const & | indexes | |||
) | const |
void mat::Matrix< Treal, Telement >::getValues | ( | std::vector< int > const & | rowind, | |
std::vector< int > const & | colind, | |||
std::vector< Treal > & | values | |||
) | const |
static unsigned int mat::Matrix< Treal, Telement >::level | ( | ) | [inline, static] |
Treal mat::Matrix< Treal, Telement >::maxAbsValue | ( | ) | const [inline] |
size_t mat::Matrix< Treal, Telement >::memory_usage | ( | ) | const |
size_t mat::Matrix< Treal, Telement >::nnz | ( | ) | const |
Returns number of nonzeros in matrix.
void mat::Matrix< Treal, Telement >::nosymToSym | ( | ) |
size_t mat::Matrix< Treal, Telement >::nvalues | ( | ) | const [inline] |
Returns number of stored values in matrix.
Returns same number as nnz()
Matrix< Treal, Telement > & mat::Matrix< Treal, Telement >::operator *= | ( | const Treal | alpha | ) |
Matrix< Treal, Telement > & mat::Matrix< Treal, Telement >::operator= | ( | int const | k | ) |
Matrix<Treal, Telement>& mat::Matrix< Treal, Telement >::operator= | ( | const Matrix< Treal, Telement > & | mat | ) | [inline] |
void mat::Matrix< Treal, Telement >::random | ( | ) |
void mat::Matrix< Treal, Telement >::randomZeroStructure | ( | Treal | probabilityBeingZero | ) |
Get a random zero structure with a specified probability that each submatrix is zero.
void mat::Matrix< Treal, Telement >::readFromFile | ( | std::ifstream & | file | ) |
void mat::Matrix< Treal, Telement >::setElementsByRule | ( | TRule & | rule | ) |
void mat::Matrix< Treal, Telement >::ssmm | ( | const Treal | alpha, | |
const Matrix< Treal, Telement > & | A, | |||
const Matrix< Treal, Telement > & | B, | |||
const Treal | beta, | |||
Matrix< Treal, Telement > & | C | |||
) | [static] |
void mat::Matrix< Treal, Telement >::ssmm_upper_tr_only | ( | const Treal | alpha, | |
const Matrix< Treal, Telement > & | A, | |||
const Matrix< Treal, Telement > & | B, | |||
const Treal | beta, | |||
Matrix< Treal, Telement > & | C | |||
) | [static] |
void mat::Matrix< Treal, Telement >::sy_gersgorin | ( | Treal & | lmin, | |
Treal & | lmax | |||
) | const [inline] |
size_t mat::Matrix< Treal, Telement >::sy_nnz | ( | ) | const |
Returns number of nonzeros in matrix including lower triangle elements.
size_t mat::Matrix< Treal, Telement >::sy_nvalues | ( | ) | const |
Returns number of stored values in matrix.
Lower triangle is not included. Lower triangle in diagonal submatrices is not included as well. Different from sy_nnz().
Treal mat::Matrix< Treal, Telement >::sy_trace_ab | ( | const Matrix< Treal, Telement > & | A, | |
const Matrix< Treal, Telement > & | B | |||
) | [static] |
Treal mat::Matrix< Treal, Telement >::syAccumulateWith | ( | Top & | op | ) | [inline] |
void mat::Matrix< Treal, Telement >::syAddValues | ( | std::vector< int > const & | rowind, | |
std::vector< int > const & | colind, | |||
std::vector< Treal > const & | values | |||
) |
void mat::Matrix< Treal, Telement >::syAssignDiffFrobNormsLowestLevel | ( | Matrix< Treal, Matrix< Treal, Telement > > const & | A, | |
Matrix< Treal, Matrix< Treal, Telement > > const & | B | |||
) |
Same as syAssignFrobNormsLowestLevel except that the Frobenius norms of the differences between submatrices of A and B are assigned.
void mat::Matrix< Treal, Telement >::syAssignFrobNormsLowestLevel | ( | Matrix< Treal, Matrix< Treal, Telement > > const & | A | ) |
Version of assignFrobNormsLowestLevelToMatrix for symmetric matrices.
void mat::Matrix< Treal, Telement >::syAssignFromSparse | ( | std::vector< int > const & | rowind, | |
std::vector< int > const & | colind, | |||
std::vector< Treal > const & | values | |||
) |
Treal mat::Matrix< Treal, Telement >::syFrob | ( | ) | const [inline] |
static Treal mat::Matrix< Treal, Telement >::syFrobDiff | ( | const Matrix< Treal, Telement > & | A, | |
const Matrix< Treal, Telement > & | B | |||
) | [inline, static] |
Treal mat::Matrix< Treal, Telement >::syFrobSquared | ( | ) | const |
Treal mat::Matrix< Treal, Telement >::syFrobSquaredDiff | ( | const Matrix< Treal, Telement > & | A, | |
const Matrix< Treal, Telement > & | B | |||
) | [static] |
void mat::Matrix< Treal, Telement >::syFullMatrix | ( | std::vector< Treal > & | fullMat | ) | const |
void mat::Matrix< Treal, Telement >::syGetAllValues | ( | std::vector< int > & | rowind, | |
std::vector< int > & | colind, | |||
std::vector< Treal > & | ||||
) | const |
void mat::Matrix< Treal, Telement >::syGetValues | ( | std::vector< int > const & | rowind, | |
std::vector< int > const & | colind, | |||
std::vector< Treal > & | values | |||
) | const |
void mat::Matrix< Treal, Telement >::syInch | ( | const Matrix< Treal, Telement > & | A, | |
Matrix< Treal, Telement > & | Z, | |||
const Treal | threshold = 0 , |
|||
const side | looking = left , |
|||
const inchversion | version = unstable | |||
) | [static] |
void mat::Matrix< Treal, Telement >::symm | ( | const char | side, | |
const char | uplo, | |||
const Treal | alpha, | |||
const Matrix< Treal, Telement > & | A, | |||
const Matrix< Treal, Telement > & | B, | |||
const Treal | beta, | |||
Matrix< Treal, Telement > & | C | |||
) | [static] |
void mat::Matrix< Treal, Telement >::symToNosym | ( | ) |
void mat::Matrix< Treal, Telement >::syRandom | ( | ) |
void mat::Matrix< Treal, Telement >::syRandomZeroStructure | ( | Treal | probabilityBeingZero | ) |
void mat::Matrix< Treal, Telement >::syrk | ( | const char | uplo, | |
const bool | tA, | |||
const Treal | alpha, | |||
const Matrix< Treal, Telement > & | A, | |||
const Treal | beta, | |||
Matrix< Treal, Telement > & | C | |||
) | [static] |
void mat::Matrix< Treal, Telement >::sySetElementsByRule | ( | TRule & | rule | ) |
void mat::Matrix< Treal, Telement >::sysq | ( | const char | uplo, | |
const Treal | alpha, | |||
const Matrix< Treal, Telement > & | A, | |||
const Treal | beta, | |||
Matrix< Treal, Telement > & | C | |||
) | [static] |
void mat::Matrix< Treal, Telement >::sytr_upper_tr_only | ( | char const | side, | |
const Treal | alpha, | |||
Matrix< Treal, Telement > & | A, | |||
const Matrix< Treal, Telement > & | Z | |||
) | [static] |
void mat::Matrix< Treal, Telement >::syUpTriFullMatrix | ( | std::vector< Treal > & | fullMat | ) | const |
Treal mat::Matrix< Treal, Telement >::trace | ( | ) | const |
Treal mat::Matrix< Treal, Telement >::trace_ab | ( | const Matrix< Treal, Telement > & | A, | |
const Matrix< Treal, Telement > & | B | |||
) | [static] |
Treal mat::Matrix< Treal, Telement >::trace_aTb | ( | const Matrix< Treal, Telement > & | A, | |
const Matrix< Treal, Telement > & | B | |||
) | [static] |
void mat::Matrix< Treal, Telement >::transpose | ( | Matrix< Treal, Telement > const & | A, | |
Matrix< Treal, Telement > & | AT | |||
) | [static] |
void mat::Matrix< Treal, Telement >::trmm | ( | const char | side, | |
const char | uplo, | |||
const bool | tA, | |||
const Treal | alpha, | |||
const Matrix< Treal, Telement > & | A, | |||
Matrix< Treal, Telement > & | B | |||
) | [static] |
void mat::Matrix< Treal, Telement >::trmm_upper_tr_only | ( | const char | side, | |
const char | uplo, | |||
const bool | tA, | |||
const Treal | alpha, | |||
const Matrix< Treal, Telement > & | A, | |||
Matrix< Treal, Telement > & | B | |||
) | [static] |
void mat::Matrix< Treal, Telement >::trSetElementsByRule | ( | TRule & | rule | ) | [inline] |
void mat::Matrix< Treal, Telement >::trsytriplemm | ( | char const | side, | |
const Matrix< Treal, Telement > & | Z, | |||
Matrix< Treal, Telement > & | A | |||
) | [static] |
void mat::Matrix< Treal, Telement >::truncateAccordingToSparsityPattern | ( | Matrix< Treal, Matrix< Treal, Telement > > & | A | ) | const |
Truncate matrix A according to the sparsity pattern of the this matrix (frobNormMat).
void mat::Matrix< Treal, Telement >::writeToFile | ( | std::ofstream & | file | ) | const |
friend class Vector< Treal, Telement > [friend] |