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use crate::ArgminL2Norm;
use num_complex::Complex;
macro_rules! make_norm_unsigned {
($t:ty) => {
impl ArgminL2Norm<$t> for $t {
#[inline]
fn l2_norm(&self) -> $t {
*self
}
}
};
}
macro_rules! make_norm {
($t:ty) => {
impl ArgminL2Norm<$t> for $t {
#[inline]
fn l2_norm(&self) -> $t {
(*self).abs()
}
}
};
}
macro_rules! make_norm_complex {
($t:ty) => {
impl ArgminL2Norm<$t> for Complex<$t> {
#[inline]
fn l2_norm(&self) -> $t {
(*self).re.hypot((*self).im)
}
}
};
}
make_norm!(isize);
make_norm_unsigned!(usize);
make_norm!(i8);
make_norm!(i16);
make_norm!(i32);
make_norm!(i64);
make_norm_unsigned!(u8);
make_norm_unsigned!(u16);
make_norm_unsigned!(u32);
make_norm_unsigned!(u64);
make_norm!(f32);
make_norm!(f64);
make_norm_complex!(f32);
make_norm_complex!(f64);
#[cfg(test)]
mod tests {
use super::*;
use paste::item;
macro_rules! make_test {
($t:ty) => {
item! {
#[test]
fn [<test_norm_ $t>]() {
let a = 8 as $t;
let res = <$t as ArgminL2Norm<$t>>::l2_norm(&a);
assert!(((a - res) as f64).abs() < std::f64::EPSILON);
}
}
};
}
macro_rules! make_test_signed {
($t:ty) => {
item! {
#[test]
fn [<test_norm_signed_ $t>]() {
let a = -8 as $t;
let res = <$t as ArgminL2Norm<$t>>::l2_norm(&a);
assert!(((8 as $t - res) as f64).abs() < std::f64::EPSILON);
}
}
};
}
macro_rules! make_test_complex {
($t:ty) => {
item! {
#[test]
fn [<test_norm_complex_ $t>]() {
let a = Complex::new(8 as $t, 4 as $t);
let res = <Complex<$t> as ArgminL2Norm<$t>>::l2_norm(&a);
assert!((((a.re.powi(2)+a.im.powi(2)).sqrt() - res) as f64).abs() < std::f64::EPSILON);
}
}
};
}
macro_rules! make_test_complex_signed {
($t:ty) => {
item! {
#[test]
fn [<test_norm_complex_signed_ $t>]() {
let a = Complex::new(-8 as $t, -4 as $t);
let res = <Complex<$t> as ArgminL2Norm<$t>>::l2_norm(&a);
assert!((((a.re.powi(2)+a.im.powi(2)).sqrt() - res) as f64).abs() < std::f64::EPSILON);
}
}
};
}
make_test!(isize);
make_test!(usize);
make_test!(i8);
make_test!(u8);
make_test!(i16);
make_test!(u16);
make_test!(i32);
make_test!(u32);
make_test!(i64);
make_test!(u64);
make_test!(f32);
make_test!(f64);
make_test_signed!(isize);
make_test_signed!(i8);
make_test_signed!(i16);
make_test_signed!(i32);
make_test_signed!(i64);
make_test_signed!(f32);
make_test_signed!(f64);
make_test_complex!(f32);
make_test_complex!(f64);
make_test_complex_signed!(f32);
make_test_complex_signed!(f64);
}