Vectors/VectorAlgebra2D.hpp File Reference

Algebraic operations on two-dimensional vectors (dot product, vector length and angles, ...) More...

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Functions
template<typename T >
T	thor::Length (const sf::Vector2< T > &vector)
	Returns the length of the 2D vector.
template<typename T >
T	thor::SquaredLength (const sf::Vector2< T > &vector)
	Returns the square of vector's length.
template<typename T >
void	thor::SetLength (sf::Vector2< T > &vector, T newLength)
	Adapts vector so that its length is |newLength| after this operation.
template<typename T >
sf::Vector2< T >	thor::UnitVector (const sf::Vector2< T > &vector)
	Returns a vector with same direction as the argument, but with length 1.
template<typename T >
T	thor::PolarAngle (const sf::Vector2< T > &vector)
	Returns the polar angle.
template<typename T >
void	thor::SetPolarAngle (sf::Vector2< T > &vector, T newAngle)
	Sets the polar angle of the specified vector.
template<typename T >
void	thor::Rotate (sf::Vector2< T > &vector, T angle)
	Rotates the vector by the given angle (in degrees).
template<typename T >
sf::Vector2< T >	thor::RotatedVector (const sf::Vector2< T > &vector, T angle)
	Returns a copy of the vector, rotated by angle degrees.
template<typename T >
sf::Vector2< T >	thor::PerpendicularVector (const sf::Vector2< T > &vector)
	Returns a perpendicular vector.
template<typename T >
T	thor::Angle (const sf::Vector2< T > &lhs, const sf::Vector2< T > &rhs)
	Computes the signed angle from lhs to rhs.
template<typename T >
T	thor::DotProduct (const sf::Vector2< T > &lhs, const sf::Vector2< T > &rhs)
	Computes the dot product of two 2D vectors.
template<typename T >
sf::Vector3< T >	thor::CrossProduct (const sf::Vector2< T > &lhs, const sf::Vector2< T > &rhs)
	Computes the cross product of two 2D vectors.
template<typename T >
sf::Vector2< T >	thor::ComponentwiseProduct (const sf::Vector2< T > &lhs, const sf::Vector2< T > &rhs)
	Returns the component-wise product of lhs and rhs.
template<typename T >
sf::Vector2< T >	thor::ComponentwiseQuotient (const sf::Vector2< T > &lhs, const sf::Vector2< T > &rhs)
	Returns the component-wise quotient of lhs and rhs.

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Detailed Description

Algebraic operations on two-dimensional vectors (dot product, vector length and angles, ...)

Here is an overview over the functionality:

Operation	Translation	Scale	Rotation
Get	v	Length(v)	PolarAngle(v)
Set, absolute	v = w	SetLength(v,l)	SetPolarAngle(v,a)
Set, relative	v += w	v *= l	Rotate(v,a)
Copy, relative	v + w	v * l	RotatedVector(v,a)

Other functions:

DotProduct(v,w)	UnitVector(v)	SquaredLength(v)
CrossProduct(v,w)	PerpendicularVector(v)	Angle(v,w)
ComponentwiseProduct(v,w)	ComponentwiseQuotient(v,w)