quantum 0.1.2

Advanced Rust quantum computer simulator.
Documentation 
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//! Complex number library code (public for pedagogical reasons).

use std::ops::Add;
use std::ops::AddAssign;
use std::ops::Mul;
use std::ops::Neg;

/// Holds a complex number with 64-bit float parts.
#[derive(Clone, Copy, Debug, PartialEq)]
pub struct Complex {
    re: f64,
    im: f64,
}

impl Complex {
    /// Construct a new complex number as `re + im * i` with 64-bit float parts.
    pub fn new(re: f64, im: f64) -> Complex {
        Complex { re: re, im: im }
    }

    /// Construct a new complex number as `r * exp(i * phi)` with 64-bit float parts.
    pub fn new_euler(r: f64, phi: f64) -> Complex {
        Complex { re: r * phi.cos(), im: r * phi.sin() }
    }

    /// Compute the square of the norm/absolute value, i.e. _|z|^2_.
    pub fn norm_sqr(&self) -> f64 {
        self.re * self.re + self.im * self.im
    }

    /// Zero in the complex plane, i.e. `0 + 0i`.
    pub fn zero() -> Complex {
        Complex::new(0f64, 0f64)
    }

    /// One in the complex plane, i.e. `1 + 0i`.
    pub fn one() -> Complex {
        Complex::new(1f64, 0f64)
    }

    /// The imaginary unit.
    pub fn i() -> Complex {
        Complex::new(0f64, 1f64)
    }
}

impl Add<Complex> for Complex {
    type Output = Complex;

    fn add(self, rhs: Complex) -> Complex {
        Complex::new(self.re + rhs.re, self.im + rhs.im)
    }
}

impl Mul<Complex> for Complex {
    type Output = Complex;

    fn mul(self, rhs: Complex) -> Complex {
        Complex::new(self.re * rhs.re - self.im * rhs.im,
                     self.re * rhs.im + self.im * rhs.re)
    }
}

impl AddAssign for Complex {
    fn add_assign(&mut self, rhs: Complex) {
        *self = *self + rhs;
    }
}

impl Neg for Complex {
    type Output = Complex;

    fn neg(self) -> Complex {
        c![-self.re, -self.im]
    }
}

#[test]
fn complex_test() {
    assert_eq!(c![4f64, 6f64], c![1f64, 2f64] + c![3f64, 4f64]);
    assert_eq!(c![-5f64, 10f64], c![1f64, 2f64] * c![3f64, 4f64]);
    assert_eq!(5f64, c![1f64, 2f64].norm_sqr());

    let mut z = c![1f64, 2f64];
    z += c![3f64, 4f64];
    assert_eq!(z, c![4f64, 6f64]);
}