numeric.functions.hh File Reference

Numeric functions. More...

#include <numeric/types.hh>
#include <platform/types.hh>
#include <algorithm>
#include <utility/assert.hh>
#include <cmath>
#include <limits>

Classes
struct	numeric::NearestSelector< R, T, bool >
	Nearest function selector class for R non-integer or T integer. More...
struct	numeric::NearestSelector< R, T, true >
	Nearest function selector class for R integer and T non-integer. More...
struct	numeric::ModSelector< T, bool >
	Mod function selector class for non-integer types. More...
struct	numeric::ModSelector< T, true >
	Mod function selector class for integer types. More...
struct	numeric::ModuloSelector< T, bool >
	Modulo function selector class for non-integer types. More...
struct	numeric::ModuloSelector< T, true >
	Modulo function selector class for integer types. More...
struct	numeric::RemainderSelector< T, bool >
	Remainder function selector class for non-integer types. More...
struct	numeric::RemainderSelector< T, true >
	Remainder function selector class for integer types. More...
struct	numeric::FastRemainderSelector< T, bool >
	Fast remainder function selector class for non-integer types. More...
struct	numeric::FastRemainderSelector< T, true >
	Fast remainder function selector class for integer types. More...

Namespaces
	numeric
	Unit headers.

Functions
short int	numeric::min (short int const a, short int const b)
	min( short int, short int ) More...
int	numeric::min (int const a, int const b)
	min( int, int ) More...
long int	numeric::min (long int const a, long int const b)
	min( long int, long int ) More...
unsigned short int	numeric::min (unsigned short int const a, unsigned short int const b)
	min( unsigned short int, unsigned short int ) More...
unsigned int	numeric::min (unsigned int const a, unsigned int const b)
	min( unsigned int, unsigned int ) More...
unsigned long int	numeric::min (unsigned long int const a, unsigned long int const b)
	min( unsigned long int, unsigned long int ) More...
float	numeric::min (float const a, float const b)
	min( float, float ) More...
double	numeric::min (double const a, double const b)
	min( double, double ) More...
long double	numeric::min (long double const a, long double const b)
	min( long double, long double ) More...
template<typename T >
T const &	numeric::min (T const &a, T const &b, T const &c)
	min( a, b, c ) More...
template<typename T >
T const &	numeric::min (T const &a, T const &b, T const &c, T const &d)
	min( a, b, c, d ) More...
template<typename T >
T const &	numeric::min (T const &a, T const &b, T const &c, T const &d, T const &e)
	min( a, b, c, d, e ) More...
template<typename T >
T const &	numeric::min (T const &a, T const &b, T const &c, T const &d, T const &e, T const &f)
	min( a, b, c, d, e, f ) More...
short int	numeric::max (short int const a, short int const b)
	max( short int, short int ) More...
int	numeric::max (int const a, int const b)
	max( int, int ) More...
long int	numeric::max (long int const a, long int const b)
	max( long int, long int ) More...
unsigned short int	numeric::max (unsigned short int const a, unsigned short int const b)
	max( unsigned short int, unsigned short int ) More...
unsigned int	numeric::max (unsigned int const a, unsigned int const b)
	max( unsigned int, unsigned int ) More...
unsigned long int	numeric::max (unsigned long int const a, unsigned long int const b)
	max( unsigned long int, unsigned long int ) More...
float	numeric::max (float const a, float const b)
	max( float, float ) More...
double	numeric::max (double const a, double const b)
	max( double, double ) More...
long double	numeric::max (long double const a, long double const b)
	max( long double, long double ) More...
template<typename T >
T const &	numeric::max (T const &a, T const &b, T const &c)
	max( a, b, c ) More...
template<typename T >
T const &	numeric::max (T const &a, T const &b, T const &c, T const &d)
	max( a, b, c, d ) More...
template<typename T >
T const &	numeric::max (T const &a, T const &b, T const &c, T const &d, T const &e)
	max( a, b, c, d, e ) More...
template<typename T >
T const &	numeric::max (T const &a, T const &b, T const &c, T const &d, T const &e, T const &f)
	max( a, b, c, d, e, f ) More...
template<typename T >
T	numeric::square (T const &x)
	square( x ) == x^2 More...
template<typename T >
T	numeric::cube (T const &x)
	cube( x ) == x^3 More...
template<typename T >
int	numeric::sign (T const &x)
	sign( x ) More...
template<typename S , typename T >
T	numeric::sign_transfered (S const &sigma, T const &x)
	Sign transfered value. More...
template<typename T >
T	numeric::abs_difference (T const &a, T const &b)
	Absolute difference. More...
template<typename R , typename T >
R	numeric::nearest (T const &x)
	nearest< R >( x ): Nearest R More...
template<typename T >
std::size_t	numeric::nearest_size (T const &x)
	nearest_size( x ): Nearest std::size_t More...
template<typename T >
SSize	numeric::nearest_ssize (T const &x)
	nearest_ssize( x ): Nearest SSize More...
template<typename T >
int	numeric::nearest_int (T const &x)
	nearest_int( x ): Nearest int More...
template<typename T >
int	numeric::nint (T const &x)
	nint( x ): Nearest int More...
template<typename T >
T	numeric::mod (T const &x, T const &y)
	x(mod y) computational modulo returning magnitude < | y | and sign of x More...
template<typename T >
T	numeric::modulo (T const &x, T const &y)
	x(mod y) mathematical modulo returning magnitude < | y | and sign of y More...
template<typename T >
T	numeric::remainder (T const &x, T const &y)
	Remainder of x with respect to division by y that is of smallest magnitude. More...
template<typename T >
T	numeric::fast_remainder (T const &x, T const &y)
	Remainder of x with respect to division by y that is of smallest magnitude. More...
template<typename T , typename S >
T	numeric::remainder_conversion (T const &t, S &s)
	Remainder and result of conversion to a different type. More...
template<typename T >
T	numeric::gcd (T const &m, T const &n)
	Greatest common divisor. More...
template<typename T >
bool	numeric::eq_tol (T const &x, T const &y, T const &r_tol, T const &a_tol)
	Equal within specified relative and absolute tolerances? More...
template<typename T >
bool	numeric::lt_tol (T const &x, T const &y, T const &r_tol, T const &a_tol)
	Less than within specified relative and absolute tolerances? More...
template<typename T >
bool	numeric::le_tol (T const &x, T const &y, T const &r_tol, T const &a_tol)
	Less than or equal within specified relative and absolute tolerances? More...
template<typename T >
bool	numeric::ge_tol (T const &x, T const &y, T const &r_tol, T const &a_tol)
	Greater than or equal within specified relative and absolute tolerances? More...
template<typename T >
bool	numeric::gt_tol (T const &x, T const &y, T const &r_tol, T const &a_tol)
	Greater than within specified relative and absolute tolerances? More...
bool	numeric::is_a_finitenumber (double s, double a, double b)

Detailed Description

Numeric functions.

Author

Stuart G. Mentzer (Stuar.nosp@m.t_Me.nosp@m.ntzer.nosp@m.@obj.nosp@m.exx.c.nosp@m.om)