Geometric operations.
[Library Functions]

Functions
template<typename T> ShGeneric< 3, T >	SH::cross (const ShGeneric< 3, T > &left, const ShGeneric< 3, T > &right)
	Take the cross product of two 3-tuples.
template<int N, typename T> ShGeneric< 3, T >	SH::operator^ (const ShGeneric< 3, T > &left, const ShGeneric< 3, T > &right)
	Equivalent to cross(left, right).
template<int N, typename T> ShGeneric< N, T >	SH::normalize (const ShGeneric< N, T > &var)
	Normalize an n-tuple to unit length.
template<int N, typename T> ShGeneric< N, T >	SH::reflect (const ShGeneric< N, T > &a, const ShGeneric< N, T > &b)
	Compute reflection vector.
template<int N, typename T> ShGeneric< N, T >	SH::refract (const ShGeneric< N, T > &a, const ShGeneric< N, T > &b, const ShGeneric< 1, T > &c)
	Compute refraction vector.
template<int N, typename T> ShGeneric< N, T >	SH::faceforward (const ShGeneric< N, T > &a, const ShGeneric< N, T > &b)
	Make a vector face the same way as another Negates b if it does not face the same way as a (i.e.
template<typename T> ShGeneric< 4, T >	SH::lit (const ShGeneric< 1, T > &a, const ShGeneric< 1, T > &b, const ShGeneric< 1, T > &c)
	Compute lighting coefficents.
template<int N, typename T> ShGeneric< 1, T >	SH::dot (const ShGeneric< N, T > &left, const ShGeneric< N, T > &right)
	Inner (dot) product.
template<int N, typename T> ShGeneric< 1, T >	operator| (const ShGeneric< N, T > &left, const ShGeneric< N, T > &right)
	SH_SHLIB_CONST_N_OP_RETSIZE_BOTH (dot, 1)

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Detailed Description

Todo:

distance, sqdistance, length, rlength, rsqlength, sqlength, perp, perpdot, projnorm should be implemented too. Different distance functions also possible: L1, L2, Linf.

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Function Documentation

template<typename T> ShGeneric< 3, T > SH::cross (  const ShGeneric< 3, T > &  left, const ShGeneric< 3, T > &  right )  [inline]

Take the cross product of two 3-tuples. Note that this operation is not limited to vectors. Definition at line 38 of file ShLibGeometryImpl.hpp. Referenced by SH::ShQuaternion< B, T >::operator *=(), and SH::operator^().

template<int N, typename T> ShGeneric< N, T > SH::faceforward (  const ShGeneric< N, T > &  a, const ShGeneric< N, T > &  b )  [inline]

Make a vector face the same way as another Negates b if it does not face the same way as a (i.e. the dot product between a and b is negative). Definition at line 102 of file ShLibGeometryImpl.hpp. References SH::dot().

template<typename T> ShGeneric< 4, T > SH::lit (  const ShGeneric< 1, T > &  a, const ShGeneric< 1, T > &  b, const ShGeneric< 1, T > &  c )  [inline]

Compute lighting coefficents. returns a 4-vector consisting of: 1 max(a,0) b^c if (a > 0 and b < 0), 0 otherwise 1 Definition at line 109 of file ShLibGeometryImpl.hpp. References SH::pos(), and SH::pow().

template<int N, typename T> ShGeneric< N, T > SH::normalize (  const ShGeneric< N, T > &  var  )  [inline]

Normalize an n-tuple to unit length. Divides an n-tuple by its Euclidean length. Definition at line 54 of file ShLibGeometryImpl.hpp. Referenced by SH::ShQuaternion< B, T >::normalize(), SH::reflect(), SH::refract(), SH::rotate(), and SH::ShQuaternion< B, T >::ShQuaternion().

template<int N, typename T> ShGeneric< N, T > SH::reflect (  const ShGeneric< N, T > &  a, const ShGeneric< N, T > &  b )  [inline]

Compute reflection vector. Reflect vector a about normal n. Definition at line 79 of file ShLibGeometryImpl.hpp. References SH::dot(), and SH::normalize().

template<int N, typename T> ShGeneric< N, T > SH::refract (  const ShGeneric< N, T > &  a, const ShGeneric< N, T > &  b, const ShGeneric< 1, T > &  c )

Compute refraction vector. Refract vector a about normal b using relative index of refraction c. Definition at line 86 of file ShLibGeometryImpl.hpp. References SH::clamp(), and SH::normalize().

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