Vec3_< T > Class Template Reference

Detailed Description

template<class T>
class asl::Vec3_< T >

A Vec3_ represents a vector in 3D space.

It is a template Vec3_<T> and has two predefined specializations Vec3 (float) and Vec3d (double)

This class allows operating with vectors as with primitive types via operators. It can be used together with class Matrix4 to transform vectors in space.

Vec3 a (10, 10, 0.1);
Vec3 b (-5, 1.5, 50);
Vec3 c = -a + 2.f * (b - a).normalized();

There are operators for dot product (*), cross product (^) and multiplication by a scalar (*).

float angle = acos((a * b) / (a.length() * b.length()));
Vec3 trinormal = ((b - a) ^ (c - a)).normalized();

#include <Vec3.h>

Public Member Functions
Vec2_< T >	xy () const
	Returns the x and y components as a Vec2.
Vec3_< T >	zyx () const
	Returns this vector with components reversed (z,y,x)
Vec2_< T >	h2c () const
	Returns the cartesian coordinates vector corresponding to this homogenous coordinates.
Vec3_	normalized () const
	Returns a normalized version of this vector.
T	length () const
	Returns the length of the vector.
T	length2 () const
	Returns the length of the vector squared.
T	operator! () const
	Returns the length of the vector.
T	angle (const Vec3_ &b) const
	Returns the angle between this vector and b
Vec3_	operator+ (const Vec3_ &b) const
	Returns this plus b
Vec3_	operator- (const Vec3_ &b) const
	Returns this minus b
Vec3_	operator^ (const Vec3_ &b) const
	Returns the cross product of this vector and b
T	operator* (const Vec3_ &b) const
	Returns the dot product of this vector and b
Vec3_	operator* (T r) const
	Returns this vector multiplied by scalar r
Vec3_	operator/ (T r) const
	Returns this vector divided by scalar r
Vec3_	operator% (const Vec3_ &b) const
	Returns a vector that is a component-wise product of this vector and b
bool	operator== (const Vec3_ &b) const
	Checks if this vector is equal to b
bool	operator!= (const Vec3_ &b) const
	Checks if this vector is not equal to b
void	operator+= (const Vec3_ &b)
	Adds vector b to this vector.
void	operator-= (const Vec3_ &b)
	Subtracts vector b from this vector.
void	operator*= (T r)
	Multiplies this vector by scalar r
void	operator/= (T r)
	Divides this vector by scalar r
void	operator%= (const Vec3_ &b)
	Multiplies this vector by another, component-wise.
Vec3_	operator- () const
	Returns this vector negated.
bool	isNull (T tol=(T) 0.000001) const
	Returns true if this vector's length is less than a given threshold (almost zero)
bool	isParallelToVector (const Vec3_ &v2, T tol=(T) 0.000001)
	Returns true if this vector is nearly parallel to vector v2 with a given tolerance.

Public Attributes
T	x
	The x, y, z components.

Friends
Vec3_	operator* (T r, const Vec3_ &b)
	Returns this vector multiplied by scalar r

---

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

• Vec3.h