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use crate::math::ArgminNorm;
use num::integer::Roots;
use num_complex::Complex;
macro_rules! make_norm_float {
($t:ty) => {
impl ArgminNorm<$t> for Vec<$t> {
#[inline]
fn norm(&self) -> $t {
self.iter().map(|a| a.powi(2)).sum::<$t>().sqrt()
}
}
};
}
macro_rules! make_norm_complex_float {
($t:ty) => {
impl ArgminNorm<Complex<$t>> for Vec<Complex<$t>> {
#[inline]
fn norm(&self) -> Complex<$t> {
self.iter().map(|a| a.powf(2.0)).sum::<Complex<$t>>().sqrt()
}
}
};
}
macro_rules! make_norm_integer {
($t:ty) => {
impl ArgminNorm<$t> for Vec<$t> {
#[inline]
fn norm(&self) -> $t {
self.iter().map(|a| a.pow(2)).sum::<$t>().sqrt()
}
}
};
}
make_norm_integer!(isize);
make_norm_integer!(usize);
make_norm_integer!(i8);
make_norm_integer!(i16);
make_norm_integer!(i32);
make_norm_integer!(i64);
make_norm_integer!(u8);
make_norm_integer!(u16);
make_norm_integer!(u32);
make_norm_integer!(u64);
make_norm_float!(f32);
make_norm_float!(f64);
make_norm_complex_float!(f32);
make_norm_complex_float!(f64);
#[cfg(test)]
mod tests {
use super::*;
use paste::item;
macro_rules! make_test {
($t:ty) => {
item! {
#[test]
fn [<test_norm_ $t>]() {
let a = vec![4 as $t, 3 as $t];
let res = <Vec<$t> as ArgminNorm<$t>>::norm(&a);
let target = 5 as $t;
assert!(((target - res) as f64).abs() < std::f64::EPSILON);
}
}
};
}
macro_rules! make_test_signed {
($t:ty) => {
item! {
#[test]
fn [<test_norm_signed_ $t>]() {
let a = vec![-4 as $t, -3 as $t];
let res = <Vec<$t> as ArgminNorm<$t>>::norm(&a);
let target = 5 as $t;
assert!(((target - 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);
}