use crate::ArgminL1Norm;
use num_complex::Complex;
macro_rules! make_l1norm {
($t:ty) => {
impl ArgminL1Norm<$t> for Vec<$t> {
#[inline]
fn l1_norm(&self) -> $t {
self.iter().map(|a| a.abs()).sum()
}
}
};
}
macro_rules! make_l1norm_complex {
($i: ty, $t:ty) => {
impl ArgminL1Norm<$t> for Vec<$i> {
#[inline]
fn l1_norm(&self) -> $t {
self.iter().map(|a| a.l1_norm()).sum::<$t>().into()
}
}
};
}
macro_rules! make_l1norm_unsigned {
($t:ty) => {
impl ArgminL1Norm<$t> for Vec<$t> {
#[inline]
fn l1_norm(&self) -> $t {
self.iter().sum()
}
}
};
}
make_l1norm_unsigned!(u8);
make_l1norm_unsigned!(u16);
make_l1norm_unsigned!(u32);
make_l1norm_unsigned!(u64);
make_l1norm!(i8);
make_l1norm!(i16);
make_l1norm!(i32);
make_l1norm!(i64);
make_l1norm!(f32);
make_l1norm!(f64);
make_l1norm_complex!(Complex<i8>, i8);
make_l1norm_complex!(Complex<i16>, i16);
make_l1norm_complex!(Complex<i32>, i32);
make_l1norm_complex!(Complex<i64>, i64);
make_l1norm_complex!(Complex<u8>, u8);
make_l1norm_complex!(Complex<u16>, u16);
make_l1norm_complex!(Complex<u32>, u32);
make_l1norm_complex!(Complex<u64>, u64);
make_l1norm_complex!(Complex<f32>, f32);
make_l1norm_complex!(Complex<f64>, f64);
#[cfg(test)]
mod tests {
use super::*;
use approx::assert_relative_eq;
use paste::item;
macro_rules! make_test {
($t:ty) => {
item! {
#[test]
fn [<test_norm_ $t>]() {
let a = vec![4 as $t, 3 as $t];
let res = <Vec<$t> as ArgminL1Norm<$t>>::l1_norm(&a);
let target = 7 as $t;
assert_relative_eq!(target as f64, res as f64, epsilon = f64::EPSILON);
}
}
item! {
#[test]
fn [<test_norm_complex_ $t>]() {
let a = vec![Complex::new(4 as $t, 2 as $t), Complex::new(3 as $t, 4 as $t)];
let res = <Vec<Complex<$t>> as ArgminL1Norm<$t>>::l1_norm(&a);
let target = a[0].l1_norm() + a[1].l1_norm();
assert_relative_eq!(target as f64, res as f64, epsilon = f64::EPSILON);
}
}
};
}
macro_rules! make_test_signed {
($t:ty) => {
item! {
#[test]
fn [<test_norm_signed_ $t>]() {
let a = vec![-4 as $t, -3 as $t];
let res = <Vec<$t> as ArgminL1Norm<$t>>::l1_norm(&a);
let target = 7 as $t;
assert_relative_eq!(target as f64, res as f64, epsilon = f64::EPSILON);
}
}
item! {
#[test]
fn [<test_norm_signed_complex_ $t>]() {
let a = vec![Complex::new(-4 as $t, -2 as $t), Complex::new(-3 as $t, -4 as $t)];
let res = <Vec<Complex<$t>> as ArgminL1Norm<$t>>::l1_norm(&a);
let target = a[0].l1_norm() + a[1].l1_norm();
assert_relative_eq!(target as f64, res as f64, epsilon = f64::EPSILON);
}
}
};
}
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!(i8);
make_test_signed!(i16);
make_test_signed!(i32);
make_test_signed!(i64);
make_test_signed!(f32);
make_test_signed!(f64);
}