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// Copyright 2018-2020 argmin developers // // Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or // http://apache.org/licenses/LICENSE-2.0> or the MIT license <LICENSE-MIT or // http://opensource.org/licenses/MIT>, at your option. This file may not be // copied, modified, or distributed except according to those terms. use crate::core::math::ArgminDot; use ndarray::{Array1, Array2}; use num_complex::Complex; macro_rules! make_dot_ndarray { ($t:ty) => { impl ArgminDot<Array1<$t>, $t> for Array1<$t> { #[inline] fn dot(&self, other: &Array1<$t>) -> $t { ndarray::Array1::dot(self, other) } } impl ArgminDot<$t, Array1<$t>> for Array1<$t> { #[inline] fn dot(&self, other: &$t) -> Array1<$t> { *other * self } } impl<'a> ArgminDot<Array1<$t>, Array1<$t>> for $t { #[inline] fn dot(&self, other: &Array1<$t>) -> Array1<$t> { other * *self } } impl ArgminDot<Array1<$t>, Array2<$t>> for Array1<$t> { #[inline] fn dot(&self, other: &Array1<$t>) -> Array2<$t> { let mut out = Array2::zeros((self.len(), other.len())); for i in 0..self.len() { for j in 0..other.len() { out[(i, j)] = self[i] * other[j]; } } out } } impl ArgminDot<Array1<$t>, Array1<$t>> for Array2<$t> { #[inline] fn dot(&self, other: &Array1<$t>) -> Array1<$t> { ndarray::Array2::dot(self, other) } } impl ArgminDot<Array2<$t>, Array2<$t>> for Array2<$t> { #[inline] fn dot(&self, other: &Array2<$t>) -> Array2<$t> { ndarray::Array2::dot(self, other) } } impl ArgminDot<$t, Array2<$t>> for Array2<$t> { #[inline] fn dot(&self, other: &$t) -> Array2<$t> { *other * self } } impl<'a> ArgminDot<Array2<$t>, Array2<$t>> for $t { #[inline] fn dot(&self, other: &Array2<$t>) -> Array2<$t> { other * *self } } }; } macro_rules! make_dot_complex_ndarray { ($t:ty) => { impl ArgminDot<Array1<Complex<$t>>, Complex<$t>> for Array1<Complex<$t>> { #[inline] fn dot(&self, other: &Array1<Complex<$t>>) -> Complex<$t> { ndarray::Array1::dot(self, other) } } impl ArgminDot<Complex<$t>, Array1<Complex<$t>>> for Array1<Complex<$t>> { #[inline] fn dot(&self, other: &Complex<$t>) -> Array1<Complex<$t>> { *other * self } } impl<'a> ArgminDot<Array1<Complex<$t>>, Array1<Complex<$t>>> for Complex<$t> { #[inline] fn dot(&self, other: &Array1<Complex<$t>>) -> Array1<Complex<$t>> { other * *self } } impl ArgminDot<Array1<Complex<$t>>, Array2<Complex<$t>>> for Array1<Complex<$t>> { #[inline] fn dot(&self, other: &Array1<Complex<$t>>) -> Array2<Complex<$t>> { let mut out = Array2::zeros((self.len(), other.len())); for i in 0..self.len() { for j in 0..other.len() { out[(i, j)] = self[i] * other[j]; } } out } } impl ArgminDot<Array1<Complex<$t>>, Array1<Complex<$t>>> for Array2<Complex<$t>> { #[inline] fn dot(&self, other: &Array1<Complex<$t>>) -> Array1<Complex<$t>> { ndarray::Array2::dot(self, other) } } impl ArgminDot<Array2<Complex<$t>>, Array2<Complex<$t>>> for Array2<Complex<$t>> { #[inline] fn dot(&self, other: &Array2<Complex<$t>>) -> Array2<Complex<$t>> { ndarray::Array2::dot(self, other) } } impl ArgminDot<Complex<$t>, Array2<Complex<$t>>> for Array2<Complex<$t>> { #[inline] fn dot(&self, other: &Complex<$t>) -> Array2<Complex<$t>> { *other * self } } impl<'a> ArgminDot<Array2<Complex<$t>>, Array2<Complex<$t>>> for Complex<$t> { #[inline] fn dot(&self, other: &Array2<Complex<$t>>) -> Array2<Complex<$t>> { other * *self } } }; } make_dot_ndarray!(f32); make_dot_ndarray!(f64); make_dot_complex_ndarray!(f32); make_dot_complex_ndarray!(f64); make_dot_ndarray!(i8); make_dot_ndarray!(i16); make_dot_ndarray!(i32); make_dot_ndarray!(i64); make_dot_ndarray!(u8); make_dot_ndarray!(u16); make_dot_ndarray!(u32); make_dot_ndarray!(u64); #[cfg(test)] mod tests { use super::*; use ndarray::array; use paste::item; macro_rules! make_test { ($t:ty) => { item! { #[test] fn [<test_vec_vec_ $t>]() { let a = array![1 as $t, 2 as $t, 3 as $t]; let b = array![4 as $t, 5 as $t, 6 as $t]; let res: $t = <Array1<$t> as ArgminDot<Array1<$t>, $t>>::dot(&a, &b); assert!((((res - 32 as $t) as f64).abs()) < std::f64::EPSILON); } } item! { #[test] fn [<test_vec_scalar_ $t>]() { let a = array![1 as $t, 2 as $t, 3 as $t]; let b = 2 as $t; let product: Array1<$t> = <Array1<$t> as ArgminDot<$t, Array1<$t>>>::dot(&a, &b); let res = array![2 as $t, 4 as $t, 6 as $t]; for i in 0..3 { assert!((((res[i] - product[i]) as f64).abs()) < std::f64::EPSILON); } } } item! { #[test] fn [<test_scalar_vec_ $t>]() { let a = array![1 as $t, 2 as $t, 3 as $t]; let b = 2 as $t; let product: Array1<$t> = <$t as ArgminDot<Array1<$t>, Array1<$t>>>::dot(&b, &a); let res = array![2 as $t, 4 as $t, 6 as $t]; for i in 0..3 { assert!((((res[i] - product[i]) as f64).abs()) < std::f64::EPSILON); } } } item! { #[test] fn [<test_mat_vec_ $t>]() { let a = array![1 as $t, 2 as $t, 3 as $t]; let b = array![4 as $t, 5 as $t, 6 as $t]; let res = array![ [4 as $t, 5 as $t, 6 as $t], [8 as $t, 10 as $t, 12 as $t], [12 as $t, 15 as $t, 18 as $t] ]; let product: Array2<$t> = <Array1<$t> as ArgminDot<Array1<$t>, Array2<$t>>>::dot(&a, &b); for i in 0..3 { for j in 0..3 { assert!((((res[(i, j)] - product[(i, j)]) as f64).abs()) < std::f64::EPSILON); } } } } item! { #[test] fn [<test_mat_vec_2_ $t>]() { let a = array![ [1 as $t, 2 as $t, 3 as $t], [4 as $t, 5 as $t, 6 as $t], [7 as $t, 8 as $t, 9 as $t] ]; let b = array![1 as $t, 2 as $t, 3 as $t]; let res = array![14 as $t, 32 as $t, 50 as $t]; let product: Array1<$t> = <Array2<$t> as ArgminDot<Array1<$t>, Array1<$t>>>::dot(&a, &b); for i in 0..3 { assert!((((res[i] - product[i]) as f64).abs()) < std::f64::EPSILON); } } } item! { #[test] fn [<test_mat_mat_ $t>]() { let a = array![ [1 as $t, 2 as $t, 3 as $t], [4 as $t, 5 as $t, 6 as $t], [3 as $t, 2 as $t, 1 as $t] ]; let b = array![ [3 as $t, 2 as $t, 1 as $t], [6 as $t, 5 as $t, 4 as $t], [2 as $t, 4 as $t, 3 as $t] ]; let res = array![ [21 as $t, 24 as $t, 18 as $t], [54 as $t, 57 as $t, 42 as $t], [23 as $t, 20 as $t, 14 as $t] ]; let product: Array2<$t> = <Array2<$t> as ArgminDot<Array2<$t>, Array2<$t>>>::dot(&a, &b); for i in 0..3 { for j in 0..3 { assert!((((res[(i, j)] - product[(i, j)]) as f64).abs()) < std::f64::EPSILON); } } } } item! { #[test] fn [<test_mat_primitive_ $t>]() { let a = array![ [1 as $t, 2 as $t, 3 as $t], [4 as $t, 5 as $t, 6 as $t], [3 as $t, 2 as $t, 1 as $t] ]; let res = array![ [2 as $t, 4 as $t, 6 as $t], [8 as $t, 10 as $t, 12 as $t], [6 as $t, 4 as $t, 2 as $t] ]; let product: Array2<$t> = <Array2<$t> as ArgminDot<$t, Array2<$t>>>::dot(&a, &(2 as $t)); for i in 0..3 { for j in 0..3 { assert!((((res[(i, j)] - product[(i, j)]) as f64).abs()) < std::f64::EPSILON); } } } } item! { #[test] fn [<test_primitive_mat_ $t>]() { let a = array![ [1 as $t, 2 as $t, 3 as $t], [4 as $t, 5 as $t, 6 as $t], [3 as $t, 2 as $t, 1 as $t] ]; let res = array![ [2 as $t, 4 as $t, 6 as $t], [8 as $t, 10 as $t, 12 as $t], [6 as $t, 4 as $t, 2 as $t] ]; let product: Array2<$t> = <$t as ArgminDot<Array2<$t>, Array2<$t>>>::dot(&(2 as $t), &a); for i in 0..3 { for j in 0..3 { assert!((((res[(i, j)] - product[(i, j)]) as f64).abs()) < std::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); }