Vec_algebra

Support for vector algebra. More...

Functions
template<class T >
constexpr T	cross (const vec< T, 2 > &a, const vec< T, 2 > &b)
	shorthand for cross({a.x,a.y,0}, {b.x,b.y,0}).z
template<class T >
constexpr vec< T, 2 >	cross (T a, const vec< T, 2 > &b)
	shorthand for cross({0,0,a.z}, {b.x,b.y,0}).xy()
template<class T >
constexpr vec< T, 2 >	cross (const vec< T, 2 > &a, T b)
	shorthand for cross({a.x,a.y,0}, {0,0,b.z}).xy()
template<class T >
constexpr vec< T, 3 >	cross (const vec< T, 3 > &a, const vec< T, 3 > &b)
	the cross or vector product of vectors a and b
template<class T , int M>
constexpr T	dot (const vec< T, M > &a, const vec< T, M > &b)
	dot or inner product of vectors a and b
template<class T , int M>
constexpr T	length2 (const vec< T, M > &a)
	square of the length or magnitude of vector a
template<class T , int M>
T	length (const vec< T, M > &a)
	length or magnitude of a vector a
template<class T , int M>
vec< T, M >	normalize (const vec< T, M > &a)
	unit length vector in the same direction as a (undefined for zero-length vectors)
template<class T , int M>
constexpr T	distance2 (const vec< T, M > &a, const vec< T, M > &b)
	square of the Euclidean distance between points a and b
template<class T , int M>
T	distance (const vec< T, M > &a, const vec< T, M > &b)
	Euclidean distance between points a and b
template<class T , int M>
T	uangle (const vec< T, M > &a, const vec< T, M > &b)
	Return the angle in radians between two unit vectors.
template<class T , int M>
T	angle (const vec< T, M > &a, const vec< T, M > &b)
	Return the angle in radians between two non-unit vectors.
template<class T >
vec< T, 2 >	rot (T a, const vec< T, 2 > &v)
	vector v rotated counter-clockwise by the angle a in radians
template<class T >
vec< T, 3 >	rotx (T a, const vec< T, 3 > &v)
	vector v rotated counter-clockwise by the angle a in radians around the X axis
template<class T >
vec< T, 3 >	roty (T a, const vec< T, 3 > &v)
	vector v rotated counter-clockwise by the angle a in radians around the Y axis
template<class T >
vec< T, 3 >	rotz (T a, const vec< T, 3 > &v)
	vector v rotated counter-clockwise by the angle a in radians around the Z axis
template<class T , int M>
vec< T, M >	nlerp (const vec< T, M > &a, const vec< T, M > &b, T t)
	shorthand for normalize(lerp(a,b,t))
template<class T , int M>
vec< T, M >	slerp (const vec< T, M > &a, const vec< T, M > &b, T t)
	spherical linear interpolation between unit vectors a and b (undefined for non-unit vectors) by parameter t

Detailed Description

Support for vector algebra.