HomogeneousMath.h File Reference

#include <ICLMath/FixedMatrix.h>
#include <ICLMath/FixedVector.h>

Go to the source code of this file.

Namespaces
namespace	icl
	The ICL-namespace.
namespace	icl::math
Typedefs
typedef FixedColVector< icl32f, 3 >	icl::math::Vec3
	another shortcut for 3D vectors
typedef FixedColVector< icl32f, 4 >	icl::math::Vec4
	another shortcut for 3D vectors
typedef FixedMatrix< icl32f, 3, 3 >	icl::math::Mat3
	typedef for 3x3 fixed matrices
typedef FixedMatrix< icl32f, 4, 4 >	icl::math::Mat4
	typedef for 4x4 fixed matrices
Functions
template<class T >
T	icl::math::linear_interpolate (const T &a, const T &b, float x)
	linearly interpolates between a, b (x must be in range [0,1])
ICLMath_API float	icl::math::dist_point_linesegment (const Vec4 &p, const Vec4 &lineStart, const Vec4 &lineEnd, Vec4 *nearestPoint=0)
	distance from point p to line segment (lineStart -> lineEnd)
ICLMath_API float	icl::math::dist_point_triangle (const Vec4 &p, const Vec4 &a, const Vec4 &b, const Vec4 &c, Vec4 *nearestPoint=0)
	distance from point p to triangle (a - b - c)
Vec4	icl::math::bilinear_interpolate (const Vec4 corners[4], float x, float y)
	bilinear vector interpolation
template<class T >
math::FixedColVector< T, 4 >	icl::math::normalize (const math::FixedMatrix< T, 1, 4 > &v)
	normalize a vector to length 1
template<class T >
math::FixedColVector< T, 4 >	icl::math::normalize3 (const math::FixedMatrix< T, 1, 4 > &v, const double &h=1)
	normalize a vector to length 1
float	icl::math::sprod3 (const Vec4 &a, const Vec4 &b)
	3D scalar (aka dot-) product for 4D homogeneous vectors (ignoring the homegeneous component)
float	icl::math::sqrnorm3 (const Vec4 &a)
	sqared norm for 4D homogeneous vectors (ignoring the homegeneous component)
float	icl::math::norm3 (const Vec4 &a)
	3D- euclidian norm for 4D homogeneous vectors (ignoring the homegeneous component)
float	icl::math::dist3 (const Vec4 &a, const Vec4 &b)
	3d euclidian distance
template<class T >
math::FixedColVector< T, 4 >	icl::math::homogenize (const math::FixedMatrix< T, 1, 4 > &v)
	homogenize a vector be normalizing 4th component to 1
template<class T >
math::FixedColVector< T, 4 >	icl::math::project (math::FixedMatrix< T, 1, 4 > v, T z)
	perform perspective projection
template<class T >
math::FixedColVector< T, 4 >	icl::math::cross (const math::FixedMatrix< T, 1, 4 > &v1, const math::FixedMatrix< T, 1, 4 > &v2)
	homogeneous 3D cross-product
Vec4	icl::math::rotate_vector (const Vec4 &axis, float angle, const Vec4 &vec)
	rotates a vector around a given axis