#include <NormalizedAngle.h>

Public Member Functions
	NormalizedAngle ()=default
	This constructor creates a NormalizedAngle with a value of zero.
	NormalizedAngle (NormalizedAngle const &a)=default
	This constructor creates a copy of a.
	NormalizedAngle (Angle const &a)
	This constructor creates a normalized copy of a.
	NormalizedAngle (double a)
	NormalizedAngle (LonLat const &, LonLat const &)
	NormalizedAngle (Vector3d const &, Vector3d const &)
	operator Angle const & () const
bool	operator== (Angle const &a) const
bool	operator!= (Angle const &a) const
bool	operator< (Angle const &a) const
bool	operator> (Angle const &a) const
bool	operator<= (Angle const &a) const
bool	operator>= (Angle const &a) const
Angle	operator- () const
Angle	operator+ (Angle const &a) const
Angle	operator- (Angle const &a) const
Angle	operator* (double a) const
Angle	operator/ (double a) const
double	operator/ (Angle const &a) const
double	asDegrees () const
	asDegrees returns the value of this angle in units of degrees.
double	asRadians () const
	asRadians returns the value of this angle in units of radians.
bool	isNan () const
	isNan returns true if the angle value is NaN.
NormalizedAngle	getAngleTo (NormalizedAngle const &a) const

Static Public Member Functions
static NormalizedAngle	nan ()
static NormalizedAngle	fromDegrees (double a)
static NormalizedAngle	fromRadians (double a)
static NormalizedAngle	between (NormalizedAngle const &a, NormalizedAngle const &b)
static NormalizedAngle	center (NormalizedAngle const &a, NormalizedAngle const &b)

Detailed Description

NormalizedAngle is an angle that lies in the range [0, 2π), with one exception - a NormalizedAngle can be NaN.

Constructor & Destructor Documentation

◆ NormalizedAngle() [1/3]

lsst::sphgeom::NormalizedAngle::NormalizedAngle ( double a )

inlineexplicit

This constructor creates a NormalizedAngle with the given value in radians, normalized to be in the range [0, 2π).

◆ NormalizedAngle() [2/3]

lsst::sphgeom::NormalizedAngle::NormalizedAngle	(	LonLat const &	p1,
		LonLat const &	p2 )

This constructor creates a NormalizedAngle equal to the angle between the given points on the unit sphere.

◆ NormalizedAngle() [3/3]

lsst::sphgeom::NormalizedAngle::NormalizedAngle	(	Vector3d const &	v1,
		Vector3d const &	v2 )

This constructor creates a NormalizedAngle equal to the angle between the given 3-vectors, which need not have unit norm.

Member Function Documentation

◆ between()

NormalizedAngle lsst::sphgeom::NormalizedAngle::between	(	NormalizedAngle const &	a,
		NormalizedAngle const &	b )

static

For two angles a and b, between(a, b) returns the smaller of a.getAngleTo(b) and b.getAngleTo(a). The result will be in the range [0, π].

If one interprets an angle in [0, 2π) as a point on the unit circle, then between can be thought of as computing the arc length of the shortest unit circle segment between the points for a and b.

◆ center()

NormalizedAngle lsst::sphgeom::NormalizedAngle::center	(	NormalizedAngle const &	a,
		NormalizedAngle const &	b )

static

For two normalized angles a and b, center(a, b) returns the angle m such that a.getAngleTo(m) is equal to m.getAngleTo(b).

◆ getAngleTo()

NormalizedAngle lsst::sphgeom::NormalizedAngle::getAngleTo ( NormalizedAngle const & a ) const

inline

getAngleTo computes the angle α ∈ [0, 2π) such that adding α to this angle and then normalizing the result yields a.

If one interprets an angle in [0, 2π) as a point on the unit circle, then this method can be thought of as computing the positive rotation angle required to map this point to a.

◆ operator Angle const &()

lsst::sphgeom::NormalizedAngle::operator Angle const & ( ) const