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use crate::Float;
use core::fmt;
use super::Numeric;
#[macro_export]
macro_rules! complex {
($real:expr, $imaginary:expr) => {
$crate::Complex::new($real, $imaginary)
};
}
#[derive(Copy, Clone, PartialOrd, PartialEq)]
pub struct Complex<T: Float> {
pub real: T,
pub imaginary: T,
}
impl<T: Float + fmt::Debug> fmt::Debug for Complex<T> {
fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
write!(
f,
"Complex {{ real: {:?}, imaginary: {:?} }}",
self.real, self.imaginary
)
}
}
impl<T: Float + fmt::Display> fmt::Display for Complex<T> {
fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
write!(f, "{} + {}i", self.real, self.imaginary)
}
}
impl Numeric for Complex<f32> {
fn zero() -> Self {
Complex::new(0.0, 0.0)
}
fn one() -> Self {
Complex::new(1.0, 0.0)
}
}
impl Numeric for Complex<f64> {
fn zero() -> Self {
Complex::new(0.0, 0.0)
}
fn one() -> Self {
Complex::new(1.0, 0.0)
}
}
impl<T: Float> Complex<T> {
pub fn new(real: T, imaginary: T) -> Complex<T> {
Complex { real, imaginary }
}
pub fn get_conjugate(&self) -> Complex<T> {
Complex {
real: self.real,
imaginary: -self.imaginary,
}
}
pub fn conjugate(&mut self) {
self.imaginary = -self.imaginary;
}
pub fn phase(&self) -> T {
T::atan2(self.imaginary, self.real)
}
pub fn norm(&self) -> T {
self.real * self.real + self.imaginary * self.imaginary
}
pub fn abs(&self) -> T {
T::sqrt(self.norm())
}
}
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