Vec2.h File Reference

2D vector. More...

#include <stdint.h>
#include "Misc.h"

Go to the source code of this file.

Classes
struct	tgx::Vec2< T >
	Generic 2D vector [specializations iVec2, fVec2, dVec2]. More...

Typedefs
typedef Vec2< int >	tgx::iVec2
	Integer-valued 2D vector.
typedef Vec2< float >	tgx::fVec2
	Floating point valued 2D vector with single (float) precision.
typedef Vec2< double >	tgx::dVec2
	Floating point valued 2D vector with double precision.

Functions
template<typename T , typename Tfloat = typename DefaultFPType<T>::fptype>
TGX_INLINE Vec2< T >	tgx::normalize (Vec2< T > V)
	Return the vector normalized to have unit norm (do nothing if the vector is 0). More...
template<typename T , typename Tfloat = typename DefaultFPType<T>::fptype>
TGX_INLINE Vec2< T >	tgx::normalize_fast (Vec2< T > V)
	Return the vector normalized to have unit norm (do nothing if the vector is 0). More...
template<typename T >
TGX_INLINE T	tgx::dist2 (const Vec2< T > &V1, const Vec2< T > &V2)
	Compute the squared euclidian distance between two vectors.
template<typename T , typename Tfloat = typename DefaultFPType<T>::fptype>
TGX_INLINE Tfloat	tgx::dist (const Vec2< T > &V1, const Vec2< T > &V2)
	Compute the euclidian distance between two vectors. More...
template<typename T , typename Tfloat = typename DefaultFPType<T>::fptype>
TGX_INLINE Tfloat	tgx::dist_fast (const Vec2< T > &V1, const Vec2< T > &V2)
	Compute the euclidian distance between two vectors. More...
template<typename T >
TGX_INLINE Vec2< T >	tgx::operator+ (Vec2< T > V1, const Vec2< T > &V2)
	Addition operator. More...
template<typename T >
TGX_INLINE Vec2< T >	tgx::operator- (Vec2< T > V1, const Vec2< T > &V2)
	Substraction operator. More...
template<typename T >
TGX_INLINE Vec2< T >	tgx::operator* (Vec2< T > V1, const Vec2< T > &V2)
	Multiplication operator. More...
template<typename T >
TGX_INLINE Vec2< T >	tgx::operator/ (Vec2< T > V1, const Vec2< T > &V2)
	Division operator. More...
template<typename T >
TGX_INLINE Vec2< T >	tgx::operator+ (const T a, Vec2< T > V)
	Scalar addition operator.
template<typename T >
TGX_INLINE Vec2< T >	tgx::operator+ (Vec2< T > V, const T a)
	Scalar addition operator.
template<typename T >
TGX_INLINE Vec2< T >	tgx::operator- (Vec2< T > V, const T a)
	Scalar substraction operator.
template<typename T >
TGX_INLINE Vec2< T >	tgx::operator* (const T a, Vec2< T > V)
	Scalar multiplication operator.
template<typename T >
TGX_INLINE Vec2< T >	tgx::operator* (Vec2< T > V, const T a)
	Scalar multiplication operator.
template<typename T >
TGX_INLINE Vec2< T >	tgx::operator/ (Vec2< T > V, const T a)
	Scalar division operator.
template<typename T >
TGX_INLINE T	tgx::dotProduct (const Vec2< T > &U, const Vec2< T > &V)
	Return the dot product U.V between two vectors.
TGX_INLINE float	tgx::dotProduct (const Vec2< float > &U, const Vec2< float > &V)
	Return the dot product U.V between two float vectors using fused multiply-add operations when enabled for the target architecture.
template<typename T >
TGX_INLINE T	tgx::crossProduct (const Vec2< T > &U, const Vec2< T > &V)
	Return the cross product UxV (i.e. More...
template<typename T , typename Tfloat = typename DefaultFPType<T>::fptype>
TGX_INLINE Vec2< T >	tgx::lerp (Tfloat alpha, const Vec2< T > &V1, const Vec2< T > &V2)
	Return the linear interpolation: V1 + alpha(V2 - V1).

Detailed Description

2D vector.

Function Documentation

normalize()

template<typename T , typename Tfloat = typename DefaultFPType<T>::fptype>

TGX_INLINE Vec2< T > tgx::normalize ( Vec2< T >  V )

inline

Return the vector normalized to have unit norm (do nothing if the vector is 0).

Template Parameters

Tfloat

Floating point type used for computation (use default floating point type if unspecified).

normalize_fast()

template<typename T , typename Tfloat = typename DefaultFPType<T>::fptype>

TGX_INLINE Vec2< T > tgx::normalize_fast ( Vec2< T >  V )

inline

Return the vector normalized to have unit norm (do nothing if the vector is 0).

Use fast_invsqrt() approximation to speedup computations.

Template Parameters

Tfloat

Floating point type used for computation (use default floating point type if unspecified).

dist()

template<typename T , typename Tfloat = typename DefaultFPType<T>::fptype>

TGX_INLINE Tfloat tgx::dist ( const Vec2< T > &  V1, const Vec2< T > &  V2  )

inline

Compute the euclidian distance between two vectors.

Template Parameters

Tfloat

Floating point type used for computation (use default floating point type if unspecified).

dist_fast()

template<typename T , typename Tfloat = typename DefaultFPType<T>::fptype>

TGX_INLINE Tfloat tgx::dist_fast ( const Vec2< T > &  V1, const Vec2< T > &  V2  )

inline

Compute the euclidian distance between two vectors.

Use fast_sqrt() approximation to speedup computations.

Template Parameters

Tfloat

Floating point type used for computation (use default floating point type if unspecified).

operator+()

template<typename T >

TGX_INLINE Vec2< T > tgx::operator+ ( Vec2< T >  V1, const Vec2< T > &  V2  )

inline

Addition operator.

Coordinates by coordinates

operator-()

template<typename T >

TGX_INLINE Vec2< T > tgx::operator- ( Vec2< T >  V1, const Vec2< T > &  V2  )

inline

Substraction operator.

Coordinates by coordinates

operator*()

template<typename T >

TGX_INLINE Vec2< T > tgx::operator* ( Vec2< T >  V1, const Vec2< T > &  V2  )

inline

Multiplication operator.

Coordinates by coordinates

operator/()

template<typename T >

TGX_INLINE Vec2< T > tgx::operator/ ( Vec2< T >  V1, const Vec2< T > &  V2  )

inline

Division operator.

Coordinates by coordinates

crossProduct()

template<typename T >

TGX_INLINE T tgx::crossProduct ( const Vec2< T > &  U, const Vec2< T > &  V  )

inline

Return the cross product UxV (i.e.

the determinant of the 2 row vector matrix [U V]).