nalgebra/src/vec_spec.rs

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2013-06-29 08:34:45 +08:00
use std::num::{Zero, One, abs};
use traits::basis::Basis;
use traits::cross::Cross;
use traits::division_ring::DivisionRing;
use traits::norm::Norm;
use vec::{Vec1, Vec2, Vec3};
impl<N: Mul<N, N> + Sub<N, N>> Cross<Vec1<N>> for Vec2<N>
{
#[inline]
fn cross(&self, other : &Vec2<N>) -> Vec1<N>
{ Vec1::new([self.at[0] * other.at[1] - self.at[1] * other.at[0]]) }
}
impl<N: Mul<N, N> + Sub<N, N>> Cross<Vec3<N>> for Vec3<N>
{
#[inline]
fn cross(&self, other : &Vec3<N>) -> Vec3<N>
{
Vec3::new(
[self.at[1] * other.at[2] - self.at[2] * other.at[1],
self.at[2] * other.at[0] - self.at[0] * other.at[2],
self.at[0] * other.at[1] - self.at[1] * other.at[0]]
)
}
}
impl<N: One> Basis for Vec1<N>
{
#[inline]
fn canonical_basis() -> ~[Vec1<N>]
{ ~[ Vec1::new([One::one()]) ] } // FIXME: this should be static
#[inline]
fn orthogonal_subspace_basis(&self) -> ~[Vec1<N>]
{ ~[] }
}
impl<N: Copy + One + Zero + Neg<N>> Basis for Vec2<N>
{
#[inline]
fn canonical_basis() -> ~[Vec2<N>]
{
// FIXME: this should be static
~[ Vec2::new([One::one(), Zero::zero()]),
Vec2::new([Zero::zero(), One::one()]) ]
}
#[inline]
fn orthogonal_subspace_basis(&self) -> ~[Vec2<N>]
{ ~[ Vec2::new([-self.at[1], copy self.at[0]]) ] }
}
impl<N: Copy + DivisionRing + Ord + Algebraic>
Basis for Vec3<N>
{
#[inline]
fn canonical_basis() -> ~[Vec3<N>]
{
// FIXME: this should be static
~[ Vec3::new([One::one(), Zero::zero(), Zero::zero()]),
Vec3::new([Zero::zero(), One::one(), Zero::zero()]),
Vec3::new([Zero::zero(), Zero::zero(), One::one()]) ]
}
#[inline]
fn orthogonal_subspace_basis(&self) -> ~[Vec3<N>]
{
let a =
if abs(copy self.at[0]) > abs(copy self.at[1])
{ Vec3::new([copy self.at[2], Zero::zero(), -copy self.at[0]]).normalized() }
else
{ Vec3::new([Zero::zero(), -self.at[2], copy self.at[1]]).normalized() };
~[ a.cross(self), a ]
}
}