Add one-dimensional primitives.
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use core::num::{One, Zero};
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use traits::dim::Dim;
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use traits::inv::Inv;
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use traits::transpose::Transpose;
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use traits::workarounds::rlmul::{RMul, LMul};
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use dim1::vec1::Vec1;
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#[deriving(Eq)]
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pub struct Mat1<T>
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{ m11: T }
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pub fn Mat1<T:Copy>(m11: T) -> Mat1<T>
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{
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Mat1
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{ m11: m11 }
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}
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impl<T> Dim for Mat1<T>
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{
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fn dim() -> uint
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{ 1 }
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}
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impl<T:Copy + One> One for Mat1<T>
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{
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fn one() -> Mat1<T>
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{ return Mat1(One::one()) }
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}
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impl<T:Copy + Zero> Zero for Mat1<T>
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{
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fn zero() -> Mat1<T>
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{ Mat1(Zero::zero()) }
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fn is_zero(&self) -> bool
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{ self.m11.is_zero() }
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}
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impl<T:Copy + Mul<T, T> + Add<T, T>> Mul<Mat1<T>, Mat1<T>> for Mat1<T>
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{
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fn mul(&self, other: &Mat1<T>) -> Mat1<T>
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{ Mat1 (self.m11 * other.m11) }
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}
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impl<T:Copy + Add<T, T> + Mul<T, T>> RMul<Vec1<T>> for Mat1<T>
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{
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fn rmul(&self, other: &Vec1<T>) -> Vec1<T>
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{ Vec1(self.m11 * other.x) }
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}
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impl<T:Copy + Add<T, T> + Mul<T, T>> LMul<Vec1<T>> for Mat1<T>
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{
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fn lmul(&self, other: &Vec1<T>) -> Vec1<T>
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{ Vec1(self.m11 * other.x) }
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}
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impl<T:Copy + Mul<T, T> + Quot<T, T> + Sub<T, T> + Neg<T> + Zero + One>
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Inv for Mat1<T>
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{
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fn inverse(&self) -> Mat1<T>
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{
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let mut res : Mat1<T> = *self;
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res.invert();
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res
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}
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fn invert(&mut self)
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{
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assert!(!self.m11.is_zero());
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self.m11 = One::one::<T>() / self.m11
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}
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}
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impl<T:Copy> Transpose for Mat1<T>
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{
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fn transposed(&self) -> Mat1<T>
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{ *self }
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fn transpose(&mut self)
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{ }
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}
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impl<T:ToStr> ToStr for Mat1<T>
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{
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fn to_str(&self) -> ~str
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{
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~"Mat1 {"
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+ " m11: " + self.m11.to_str()
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+ " }"
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}
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}
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@ -0,0 +1,64 @@
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use core::num::{Zero, Algebraic};
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use traits::dot::Dot;
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use traits::dim::Dim;
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#[deriving(Eq)]
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pub struct Vec1<T>
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{ x : T }
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pub fn Vec1<T:Copy>(x: T) -> Vec1<T>
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{ Vec1 {x: x} }
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impl<T> Dim for Vec1<T>
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{
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fn dim() -> uint
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{ 1 }
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}
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impl<T:Copy + Add<T,T>> Add<Vec1<T>, Vec1<T>> for Vec1<T>
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{
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fn add(&self, other: &Vec1<T>) -> Vec1<T>
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{ Vec1(self.x + other.x) }
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}
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impl<T:Copy + Sub<T,T>> Sub<Vec1<T>, Vec1<T>> for Vec1<T>
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{
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fn sub(&self, other: &Vec1<T>) -> Vec1<T>
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{ Vec1(self.x - other.x) }
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}
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impl<T:Copy + Mul<T, T> + Add<T, T> + Algebraic> Dot<T> for Vec1<T>
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{
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fn dot(&self, other : &Vec1<T>) -> T
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{ self.x * other.x }
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fn sqnorm(&self) -> T
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{ self.dot(self) }
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fn norm(&self) -> T
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{ self.sqnorm().sqrt() }
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}
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impl<T:Copy + Neg<T>> Neg<Vec1<T>> for Vec1<T>
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{
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fn neg(&self) -> Vec1<T>
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{ Vec1(-self.x) }
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}
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impl<T:Copy + Zero> Zero for Vec1<T>
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{
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fn zero() -> Vec1<T>
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{
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let _0 = Zero::zero();
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Vec1(_0)
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}
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fn is_zero(&self) -> bool
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{ self.x.is_zero() }
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}
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impl<T:ToStr> ToStr for Vec1<T>
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{
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fn to_str(&self) -> ~str
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{ ~"Vec1 { x : " + self.x.to_str() + " }" }
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}
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