GEO::intervalRN Class Reference

Number type for interval arithmetics. More...

#include <geogram/numerics/interval_nt.h>

Inheritance diagram for GEO::intervalRN:

Classes
struct	Rounding

Public Member Functions
	intervalRN (double x)
	intervalRN (double l, double u)
	intervalRN (const intervalRN &rhs)=default
	intervalRN (const expansion_nt &rhs)
intervalRN &	operator= (const intervalRN &rhs)=default
intervalRN &	operator= (double rhs)
intervalRN &	operator= (const expansion_nt &rhs)
double	inf () const
double	sup () const
double	estimate () const
bool	is_nan () const
Sign2	sign () const
intervalRN &	negate ()
intervalRN &	operator+= (const intervalRN &x)
intervalRN &	operator-= (const intervalRN &x)
intervalRN &	operator*= (const intervalRN &x)
Public Member Functions inherited from GEO::intervalBase
	intervalBase (double x)
	intervalBase (const intervalBase &rhs)=default
intervalBase &	operator= (const intervalBase &rhs)=default

Protected Member Functions
void	adjust ()
void	control_check ()
Protected Member Functions inherited from GEO::intervalBase
void	control_set (double x)
void	control_set (const expansion_nt &x)
void	control_set (const intervalBase &x)
void	control_negate ()
void	control_add (const intervalBase &x)
void	control_sub (const intervalBase &x)
void	control_mul (const intervalBase &x)
void	control_check (double inf, double sup)

Additional Inherited Members
Public Types inherited from GEO::intervalBase
enum	Sign2 {   SIGN2_ERROR = -1 , SIGN2_ZERO = 0 , SIGN2_NP , SIGN2_PP ,   SIGN2_ZP , SIGN2_NN , SIGN2_NZ }
Static Public Member Functions inherited from GEO::intervalBase
static void	set_FPU_round_to_nearest ()
static void	set_FPU_round_to_upper ()
static bool	sign_is_determined (Sign2 s)
static bool	sign_is_non_zero (Sign2 s)
static Sign	convert_sign (Sign2 s)

Detailed Description

Number type for interval arithmetics.

Interval class in "round to nearest" mode, by Richard Harris: https://accu.org/journals/overload/19/103/harris_1974/ Propagates proportional errors at a rate of 1+/-0.5eps Handles denormals properly (as a special case).

Definition at line 459 of file interval_nt.h.

Constructor & Destructor Documentation

intervalRN() [1/4]

GEO::intervalRN::intervalRN ( )

inline

Definition at line 471 of file interval_nt.h.

intervalRN() [2/4]

GEO::intervalRN::intervalRN ( double  x )

inline

Definition at line 479 of file interval_nt.h.

intervalRN() [3/4]

GEO::intervalRN::intervalRN ( double  l, double  u  )

inline

Definition at line 487 of file interval_nt.h.

intervalRN() [4/4]

GEO::intervalRN::intervalRN ( const expansion_nt &  rhs )

inline

Definition at line 494 of file interval_nt.h.

Member Function Documentation

adjust()

void GEO::intervalRN::adjust ( )

inlineprotected

Definition at line 653 of file interval_nt.h.

control_check()

void GEO::intervalRN::control_check ( )

inlineprotected

Definition at line 695 of file interval_nt.h.

estimate()

double GEO::intervalRN::estimate ( ) const

inline

Definition at line 559 of file interval_nt.h.

inf()

double GEO::intervalRN::inf ( ) const

inline

Definition at line 551 of file interval_nt.h.

is_nan()

bool GEO::intervalRN::is_nan ( ) const

inline

Definition at line 563 of file interval_nt.h.

negate()

intervalRN & GEO::intervalRN::negate ( )

inline

Definition at line 592 of file interval_nt.h.

operator*=()

intervalRN & GEO::intervalRN::operator*= ( const intervalRN &  x )

inline

Definition at line 619 of file interval_nt.h.

operator+=()

intervalRN & GEO::intervalRN::operator+= ( const intervalRN &  x )

inline

Definition at line 601 of file interval_nt.h.

operator-=()

intervalRN & GEO::intervalRN::operator-= ( const intervalRN &  x )

inline

Definition at line 610 of file interval_nt.h.

operator=() [1/2]

intervalRN & GEO::intervalRN::operator= ( const expansion_nt &  rhs )

inline

Definition at line 508 of file interval_nt.h.

operator=() [2/2]

intervalRN & GEO::intervalRN::operator= ( double  rhs )

inline

Definition at line 500 of file interval_nt.h.

sign()

Sign2 GEO::intervalRN::sign ( ) const

inline

Definition at line 567 of file interval_nt.h.

sup()

double GEO::intervalRN::sup ( ) const

inline

Definition at line 555 of file interval_nt.h.

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The documentation for this class was generated from the following file:

• geogram/numerics/interval_nt.h