tngmath Namespace Reference

This namespace encapsulates all classes and methods of the module tngmath. More...

Classes

class CWiseBase

class EigenBase

class EigenSelfadjointBase

class LDLTBase

class LLTBase

class LUBase

class MathArrayBase

class MathDynSparseArrayBase

class MathSparseArrayBase

class Matrix

The standard dense Matrix/Vector class. More...

class MatrixBase

Defines the base class of dense matrices without functionality It is mainly used for interoperation with other modules. This class contains basic functionality (such as setting and extracting values), but not the complete set of methods of Matrix (solvers, etc.). More...

class MatrixColWise

class MatrixCWise

class MatrixRowWise

class QRBase

class RowColWiseBase

class SparseArpack

Eigen analyses solver for sparse matrices based on ARPACK. More...

class SparseLLT

Base class of LL' solvers. The input matrices must be selfadjoint (symmetric) It already implements the standard LL' decomposition. More...

class SparseLLTCholmod

LL' solver for selfadjoint sparse matrices using CHOLMOD. More...

class SparseLowerLLT

Default LL' solver for selfadjoint lowertriangular sparse matrices. More...

class SparseLowerLLTCholmod

LL' solver for selfadjoint lowertriangular sparse matrices using CHOLMOD. More...

class SparseLU

Base class of LU solvers. It already implements the standard LU decomposition. More...

class SparseLUMUMPS

LU solver for sparse matrices using MUMPS. More...

class SparseLUUmfPack

LU solver for sparse matrices using UMFPACK. More...

class SparseMatrix

The default sparse matrix class. More...

class SparseMatrixInnerIterator

Iterator for inner index of SparseMatrix. More...

class SparseMatrixIterator

Iterator for outer index of SparseMatrix. More...

class SparseSolver

The base class for sparse solvers. It provides a unified interface which can be used by generic algorithms. More...

class SparseSuperLU

LU solver for sparse matrices using SuperLU. More...

class SparseUpperLLT

Default LL' solver for selfadjoint uppertriangular sparse matrices. More...

class SparseUpperLLTCholmod

LL' solver for selfadjoint uppertriangular sparse matrices using CHOLMOD. More...

class SVDBase

struct TMumpsInterface

struct TMumpsInterface< double >

struct TMumpsInterface< float >

struct TNG_Complex

class XMatrix

A class that extends Matrix by many convenience methods. More...

class XMatrixColWise

class XMatrixCWise

class XMatrixRowWise

Typedefs

typedef MathDynSparseArrayBase
< double > DynamicSparseMatrixBase

basic dynamic sparse matrix class without functionality. is of type 'MathDynSparseArrayBase' with scalar 'double' precision

typedef EigenBase< Matrix, double > MatrixEigen

typedef EigenSelfadjointBase
< Matrix, double,
Eigen::ColMajor > MatrixEigenSym

typedef EigenSelfadjointBase
< Matrix, double,
Eigen::ColMajor|Eigen::UpperTriangular > MatrixEigenSymLower

typedef EigenSelfadjointBase
< Matrix, double,
Eigen::ColMajor|Eigen::LowerTriangular > MatrixEigenSymUpper

typedef LDLTBase< Matrix, double > MatrixLDLT

typedef LLTBase< Matrix, double > MatrixLLT

typedef LUBase< Matrix, double > MatrixLU

typedef QRBase< Matrix, double > MatrixQR

typedef SVDBase< Matrix, double > MatrixSVD

typedef MathSparseArrayBase
< double > SparseMatrixBase

the default array class 'SparseMatrixBase' which is of type 'MathSparseArrayBase' with scalar 'double' precision

typedef struct tngmath::TNG_Complex TNG_Complex

typedef EigenBase< XMatrix,
double > XMatrixEigen

typedef EigenSelfadjointBase
< XMatrix, double,
Eigen::ColMajor > XMatrixEigenSym

typedef EigenSelfadjointBase
< XMatrix, double,
Eigen::ColMajor|Eigen::UpperTriangular > XMatrixEigenSymLower

typedef EigenSelfadjointBase
< XMatrix, double,
Eigen::ColMajor|Eigen::LowerTriangular > XMatrixEigenSymUpper

typedef LDLTBase< XMatrix, double > XMatrixLDLT

typedef LLTBase< XMatrix, double > XMatrixLLT

typedef LUBase< XMatrix, double > XMatrixLU

typedef QRBase< XMatrix, double > XMatrixQR

typedef SVDBase< XMatrix, double > XMatrixSVD

Functions

XMatrix Cos (XMatrix &)

double Cos (double)

TNGArray Cos (TNGArray &)

int exportPNG (const char *filename, int width, int height, const unsigned int *data)

XMatrix Gamma (XMatrix &a)

double Gamma (double)

TNGArray Gamma (TNGArray &a)

double gamma (double z)

double gauss1_pdf (double x)

double gauss2_pdf (double x, double y, double rho)

double gaussn_pdf (double *x, double *irho, int n, double)

XMatrix IPhi (XMatrix &)

double IPhi (double)

TNGArray IPhi (TNGArray &)

void matrix_add (double *matrix1, double *matrix2, int rows, int col, double *matrix_out)

void matrix_add_scal (double *matrix1, double *matrix2, int rows, int col, double factor1, double factor2, double *matrix_out)

void matrix_block_fill (double *m, int nr, double *M, int nrep)

void matrix_block_mult (double *mat, double *vec, int reps, double *result)

int matrix_cholesky (char *uplo, double *in, int n, double *out)

int matrix_eigen (double *, int, double *, double *, double *)

int matrix_eigenul (char *, double *, int, double *, double *)

int matrix_eigenulg (char *, double *, double *, int, double *, double *)

int matrix_exponential (double *mat, int n, double *expo, double dt)

void matrix_init (double *matrix, int row, int col)

int matrix_invert (double *mat, int n, double *inv)

int matrix_invert_complex (double *mat, int n, double *inv)

void matrix_minus (double *matrix1, double *matrix2, int rows, int col)

void matrix_mult (double *a_mat, int cols_a, int rows_a, double *b_mat, int cols_b, double *result)

void matrix_mult_trans (double *a_mat, int cols_a, int rows_a, double *b_mat, int cols_b, double *result)

void matrix_plus (double *matrix1, double *matrix2, int rows, int col)

void matrix_plus_scal (double *matrix1, double *matrix2, int rows, int col, double factor)

int matrix_print_int (int *matrix, int cols, int rows, char *format, char *title)

int matrix_print_real (double *matrix, int cols, int rows, char *format, char *title)

int matrix_print_real_range (double *matrix, int cols, int rows, char *format, char *title, int range)

void matrix_scal (double *matrix, int rows, int col, double scalar, double *matrix_out)

int matrix_solve (double *mat, int n, double *b, int m, double *x)

void matrix_sort (double *mat, double *old, int nrows, int ncols, int col, bool up)

void matrix_sub (double *matrix1, double *matrix2, int rows, int col, double *matrix_out)

int matrix_svd (double *, int, int, double *, double *, double *, int *)

void matrix_tran (double *matrix_inp, int cols, int rows, double *matrix_out)

void matrix_trans_mult (double *a_mat, int cols_a, int rows_a, double *b_mat, int cols_b, double *result)

void matrix_vec_mult (double *mat, double *vec, int nrow, int ncol, double *result)

Matrix operator* (const double &x, const Matrix &y)

returns the product (x*y)

XMatrix operator+ (const double &x, const XMatrixCWise &y)

returns the CWise sum (x+y)

Matrix operator+ (const double &x, const MatrixCWise &y)

returns the CWise sum (x+y)

XMatrix operator- (const double &x, const XMatrixCWise &y)

returns the CWise difference (x-y)

Matrix operator- (const double &x, const MatrixCWise &y)

returns the CWise difference (x-y)

XMatrix Phi (XMatrix &)

double Phi (double)

TNGArray Phi (TNGArray &)

XMatrix Pow (XMatrix &, double)

double Pow (double, double)

TNGArray Pow (TNGArray &, double)

int rot_to_matrix (double *rot, double s, double c, double *mat)

XMatrix Sin (XMatrix &)

double Sin (double)

TNGArray Sin (TNGArray &)

void TNGColorize (double xmin, double xmax, double val1, int posterize, unsigned char &r, unsigned char &g, unsigned char &b)

template<typename OtherDerived>

Matrix toMatrix (const Eigen::MatrixBase< OtherDerived > &other)

template<typename OtherDerived>

MatrixBase toMatrixBase (const Eigen::MatrixBase< OtherDerived > &other)

template<typename OtherDerived>

MatrixBase toMatrixBaseMove (Eigen::MatrixBase< OtherDerived > &other)

template<typename OtherDerived>

Matrix toMatrixMove (Eigen::MatrixBase< OtherDerived > &other)

template<typename OtherDerived>

XMatrix toXMatrix (const Eigen::MatrixBase< OtherDerived > &other)

returns the sum (x+y)

template<typename OtherDerived>

XMatrix toXMatrixMove (Eigen::MatrixBase< OtherDerived > &other)

double uniform_rand ()

void vector_block_add (double *vec1, double *vec2, int reps, double *res)

void vector_cross (double *vec1, double *vec2, double *result)

void vector_length (double *vector, int dim, double *length)

void vector_mult (double *vector1, double *vector2, int dim, double *scalar)

Detailed Description

This namespace encapsulates all classes and methods of the module tngmath.

Typedef Documentation

typedef EigenBase<Matrix,double> tngmath::MatrixEigen

Eigen solver class. It is a specialization of EigenBase with return type Matrix and scalar base type 'real number'

typedef EigenSelfadjointBase<Matrix,double,Eigen::ColMajor> tngmath::MatrixEigenSym

symmetric Eigen solver class. It is a specialization of EigenBase with return type Matrix and scalar base type 'real number'

typedef EigenSelfadjointBase<Matrix,double,Eigen::ColMajor|Eigen::UpperTriangular> tngmath::MatrixEigenSymLower

symmetric Eigen solver class for upper triangular matrices. It is a specialization of EigenBase with return type Matrix and scalar base type 'real number'

typedef EigenSelfadjointBase<Matrix,double,Eigen::ColMajor|Eigen::LowerTriangular> tngmath::MatrixEigenSymUpper

symmetric Eigen solver class for lower triangular matrices. It is a specialization of EigenBase with return type Matrix and scalar base type 'real number'

typedef LDLTBase<Matrix,double> tngmath::MatrixLDLT

LDL solver class. It is a specialization of LDLBase with return type Matrix and scalar base type 'real number'

typedef LLTBase<Matrix,double> tngmath::MatrixLLT

LLT solver class. It is a specialization of LLTBase with return type Matrix and scalar base type 'real number'

typedef LUBase<Matrix,double> tngmath::MatrixLU

LU solver class. It is a specialization of LUBase with return type Matrix and scalar base type 'real number'

typedef QRBase<Matrix,double> tngmath::MatrixQR

QR solver class. It is a specialization of QRBase with return type Matrix and scalar base type 'real number'

typedef SVDBase<Matrix,double> tngmath::MatrixSVD

SVD solver class. It is a specialization of SVDBase with return type Matrix and scalar base type 'real number'

typedef EigenBase<XMatrix,double> tngmath::XMatrixEigen

Eigen solver class. It is a specialization of EigenBase with return type XMatrix and scalar base type 'real number'

typedef EigenSelfadjointBase<XMatrix,double,Eigen::ColMajor> tngmath::XMatrixEigenSym

symmetric Eigen solver class. It is a specialization of EigenBase with return type XMatrix and scalar base type 'real number'

typedef EigenSelfadjointBase<XMatrix,double,Eigen::ColMajor|Eigen::UpperTriangular> tngmath::XMatrixEigenSymLower

symmetric Eigen solver class for upper triangular matrices. It is a specialization of EigenBase with return type XMatrix and scalar base type 'real number'

typedef EigenSelfadjointBase<XMatrix,double,Eigen::ColMajor|Eigen::LowerTriangular> tngmath::XMatrixEigenSymUpper

symmetric Eigen solver class for lower triangular matrices. It is a specialization of EigenBase with return type XMatrix and scalar base type 'real number'

typedef LDLTBase<XMatrix,double> tngmath::XMatrixLDLT

LDL solver class. It is a specialization of LDLBase with return type XMatrix and scalar base type 'real number'

typedef LLTBase<XMatrix,double> tngmath::XMatrixLLT

LLT solver class. It is a specialization of LLTBase with return type XMatrix and scalar base type 'real number'

typedef LUBase<XMatrix,double> tngmath::XMatrixLU

LU solver class. It is a specialization of LUBase with return type XMatrix and scalar base type 'real number'

typedef QRBase<XMatrix,double> tngmath::XMatrixQR

QR solver class. It is a specialization of QRBase with return type XMatrix and scalar base type 'real number'

typedef SVDBase<XMatrix,double> tngmath::XMatrixSVD

SVD solver class. It is a specialization of SVDBase with return type XMatrix and scalar base type 'real number'