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use std::ops::{
Add,
Mul,
};
use num::complex::{Complex32, Complex64};
use default::Default;
use vector::ops::*;
use vector::Vector;
use math::Trans;
impl<'a, T> Add for &'a Vector<T>
where T: Axpy + Copy + Default
{
type Output = Vec<T>;
fn add(self, x: &Vector<T>) -> Vec<T> {
let mut result: Vec<_> = self.into();
let scale = Default::one();
Axpy::axpy(&scale, x, &mut result);
result
}
}
impl<'a, T> Mul<&'a Vector<T>> for Trans<&'a Vector<T>>
where T: Sized + Copy + Dot + Dotc
{
type Output = T;
fn mul(self, x: &Vector<T>) -> T {
match self {
Trans::T(v) => Dot::dot(v, x),
Trans::H(v) => Dotc::dotc(v, x),
}
}
}
impl<'a, T> Mul<T> for &'a Vector<T>
where T: Sized + Copy + Scal
{
type Output = Vec<T>;
fn mul(self, alpha: T) -> Vec<T> {
let mut result: Vec<_> = self.into();
Scal::scal(&alpha, &mut result);
result
}
}
macro_rules! left_scale(($($t: ident), +) => (
$(
impl<'a> Mul<&'a Vector<$t>> for $t
{
type Output = Vec<$t>;
fn mul(self, x: &Vector<$t>) -> Vec<$t> {
let mut result: Vec<_> = x.into();
Scal::scal(&self, &mut result);
result
}
}
)+
));
left_scale!(f32, f64, Complex32, Complex64);
#[cfg(test)]
mod tests {
use Vector;
use math::Marker::{T, H};
use num::complex::Complex;
#[test]
fn add() {
let x = vec![1f32, 2f32];
let y = vec![3f32, 4f32];
let z = &x as &Vector<_> + &y;
assert_eq!(&z, &vec![4f32, 6f32]);
}
#[test]
fn dot() {
let x = vec![1f32, 2f32];
let y = vec![-1f32, 2f32];
let dot = {
let z = &x as &Vector<_>;
(z ^ T) * &y
};
assert_eq!(dot, 3.0);
}
#[test]
fn herm_dot() {
let x = vec![Complex::new(1f32, -1f32), Complex::new(1f32, -3f32)];
let y = vec![Complex::new(1f32, 2f32), Complex::new(1f32, 3f32)];
let dot = {
let z = &x as &Vector<_>;
(z ^ H) * &y
};
assert_eq!(dot, Complex::new(-9f32, 9f32));
}
#[test]
fn scale() {
let x = vec![1f32, 2f32];
let xr = &x as &Vector<_>;
let y = xr * 3.0;
let z = 3.0 * xr;
assert_eq!(y, vec![3f32, 6f32]);
assert_eq!(z, y);
}
}