119 lines
3.1 KiB
Rust
119 lines
3.1 KiB
Rust
use std::num::{Zero, One};
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use traits::basis::Basis;
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use traits::cross::Cross;
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use traits::division_ring::DivisionRing;
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use traits::norm::Norm;
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use traits::sample::UniformSphereSample;
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use vec::{Vec1, Vec2, Vec3};
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impl<N: Mul<N, N> + Sub<N, N>> Cross<Vec1<N>> for Vec2<N>
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{
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#[inline]
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fn cross(&self, other : &Vec2<N>) -> Vec1<N>
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{ Vec1::new(self.x * other.y - self.y * other.x) }
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}
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impl<N: Mul<N, N> + Sub<N, N>> Cross<Vec3<N>> for Vec3<N>
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{
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#[inline]
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fn cross(&self, other : &Vec3<N>) -> Vec3<N>
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{
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Vec3::new(self.y * other.z - self.z * other.y,
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self.z * other.x - self.x * other.z,
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self.x * other.y - self.y * other.x
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)
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}
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}
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impl<N: One> Basis for Vec1<N>
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{
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#[inline(always)]
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fn canonical_basis(f: &fn(Vec1<N>))
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{ f(Vec1::new(One::one())) }
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#[inline(always)]
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fn orthonormal_subspace_basis(&self, _: &fn(Vec1<N>))
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{ }
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}
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impl<N: Clone + One + Zero + Neg<N>> Basis for Vec2<N>
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{
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#[inline]
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fn canonical_basis(f: &fn(Vec2<N>))
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{
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f(Vec2::new(One::one(), Zero::zero()));
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f(Vec2::new(Zero::zero(), One::one()));
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}
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#[inline]
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fn orthonormal_subspace_basis(&self, f: &fn(Vec2<N>))
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{ f(Vec2::new(-self.y, self.x.clone())) }
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}
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impl<N: Clone + DivisionRing + Ord + Algebraic + Signed>
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Basis for Vec3<N>
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{
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#[inline(always)]
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fn canonical_basis(f: &fn(Vec3<N>))
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{
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f(Vec3::new(One::one(), Zero::zero(), Zero::zero()));
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f(Vec3::new(Zero::zero(), One::one(), Zero::zero()));
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f(Vec3::new(Zero::zero(), Zero::zero(), One::one()));
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}
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#[inline(always)]
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fn orthonormal_subspace_basis(&self, f: &fn(Vec3<N>))
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{
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let a =
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if self.x.clone().abs() > self.y.clone().abs()
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{ Vec3::new(self.z.clone(), Zero::zero(), -self.x).normalized() }
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else
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{ Vec3::new(Zero::zero(), -self.z, self.y.clone()).normalized() };
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f(a.cross(self));
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f(a);
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}
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}
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// FIXME: this bad: this fixes definitly the number of samples…
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static SAMPLES_2_F64: [Vec2<f64>, ..21] = [
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Vec2 { x: 1.0, y: 0.0 },
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Vec2 { x: 0.95557281, y: 0.29475517 },
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Vec2 { x: 0.82623877, y: 0.56332006 },
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Vec2 { x: 0.6234898, y: 0.78183148 },
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Vec2 { x: 0.36534102, y: 0.93087375 },
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Vec2 { x: 0.07473009, y: 0.9972038 },
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Vec2 { x: -0.22252093, y: 0.97492791 },
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Vec2 { x: -0.5, y: 0.8660254 },
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Vec2 { x: -0.73305187, y: 0.68017274 },
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Vec2 { x: -0.90096887, y: 0.43388374 },
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Vec2 { x: -0.98883083, y: 0.14904227 },
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Vec2 { x: -0.98883083, y: -0.14904227 },
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Vec2 { x: -0.90096887, y: -0.43388374 },
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Vec2 { x: -0.73305187, y: -0.68017274 },
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Vec2 { x: -0.5, y: -0.8660254 },
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Vec2 { x: -0.22252093, y: -0.97492791 },
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Vec2 { x: 0.07473009, y: -0.9972038 },
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Vec2 { x: 0.36534102, y: -0.93087375 },
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Vec2 { x: 0.6234898, y: -0.78183148 },
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Vec2 { x: 0.82623877, y: -0.56332006 },
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Vec2 { x: 0.95557281, y: -0.29475517 },
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];
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impl UniformSphereSample for Vec2<f64>
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{
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pub fn sample(f: &fn(&'static Vec2<f64>))
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{
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for SAMPLES_2_F64.iter().advance |sample|
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{ f(sample) }
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}
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}
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impl UniformSphereSample for Vec3<f64>
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{
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pub fn sample(_: &fn(&'static Vec3<f64>))
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{
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fail!("UniformSphereSample for Vec3<f64> is not yet implemented.")
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}
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}
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