use crate::ArgminDot;
use num_traits::{One, Zero};
use nalgebra::{
base::{
allocator::Allocator,
constraint::{AreMultipliable, DimEq, ShapeConstraint},
dimension::Dim,
storage::Storage,
Scalar,
},
ClosedAdd, ClosedMul, DefaultAllocator, Matrix, OMatrix,
};
impl<N, R1, R2, C1, C2, SA, SB> ArgminDot<Matrix<N, R2, C2, SB>, N> for Matrix<N, R1, C1, SA>
where
N: Scalar + Zero + ClosedAdd + ClosedMul,
R1: Dim,
R2: Dim,
C1: Dim,
C2: Dim,
SA: Storage<N, R1, C1>,
SB: Storage<N, R2, C2>,
ShapeConstraint: DimEq<R1, R2> + DimEq<C1, C2>,
{
#[inline]
#[allow(clippy::only_used_in_recursion)]
fn dot(&self, other: &Matrix<N, R2, C2, SB>) -> N {
self.dot(other)
}
}
impl<N, R, C, S> ArgminDot<N, OMatrix<N, R, C>> for Matrix<N, R, C, S>
where
N: Scalar + Copy + ClosedMul,
R: Dim,
C: Dim,
S: Storage<N, R, C>,
DefaultAllocator: Allocator<N, R, C>,
{
#[inline]
fn dot(&self, other: &N) -> OMatrix<N, R, C> {
self * *other
}
}
impl<N, R, C, S> ArgminDot<Matrix<N, R, C, S>, OMatrix<N, R, C>> for N
where
N: Scalar + Copy + ClosedMul,
R: Dim,
C: Dim,
S: Storage<N, R, C>,
DefaultAllocator: Allocator<N, R, C>,
{
#[inline]
fn dot(&self, other: &Matrix<N, R, C, S>) -> OMatrix<N, R, C> {
other * *self
}
}
impl<N, R1, R2, C1, C2, SA, SB> ArgminDot<Matrix<N, R2, C2, SB>, OMatrix<N, R1, C2>>
for Matrix<N, R1, C1, SA>
where
N: Scalar + Zero + One + ClosedAdd + ClosedMul,
R1: Dim,
R2: Dim,
C1: Dim,
C2: Dim,
SA: Storage<N, R1, C1>,
SB: Storage<N, R2, C2>,
DefaultAllocator: Allocator<N, R1, C2>,
ShapeConstraint: AreMultipliable<R1, C1, R2, C2>,
{
#[inline]
fn dot(&self, other: &Matrix<N, R2, C2, SB>) -> OMatrix<N, R1, C2> {
self * other
}
}
#[cfg(test)]
mod tests {
use super::*;
use nalgebra::{Matrix3, RowVector3, Vector3};
use paste::item;
macro_rules! make_test {
($t:ty) => {
item! {
#[test]
fn [<test_vec_vec_ $t>]() {
let a = Vector3::new(1 as $t, 2 as $t, 3 as $t);
let b = Vector3::new(4 as $t, 5 as $t, 6 as $t);
let res: $t = <Vector3<$t> as ArgminDot<Vector3<$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 = Vector3::new(1 as $t, 2 as $t, 3 as $t);
let b = 2 as $t;
let product: Vector3<$t> =
<Vector3<$t> as ArgminDot<$t, Vector3<$t>>>::dot(&a, &b);
let res = Vector3::new(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 = Vector3::new(1 as $t, 2 as $t, 3 as $t);
let b = 2 as $t;
let product: Vector3<$t> =
<$t as ArgminDot<Vector3<$t>, Vector3<$t>>>::dot(&b, &a);
let res = Vector3::new(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 = Vector3::new(1 as $t, 2 as $t, 3 as $t);
let b = RowVector3::new(4 as $t, 5 as $t, 6 as $t);
let res = Matrix3::new(
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 $t
);
let product: Matrix3<$t> =
<Vector3<$t> as ArgminDot<RowVector3<$t>, Matrix3<$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 = Matrix3::new(
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 = Vector3::new(1 as $t, 2 as $t, 3 as $t);
let res = Vector3::new(14 as $t, 32 as $t, 50 as $t);
let product: Vector3<$t> =
<Matrix3<$t> as ArgminDot<Vector3<$t>, Vector3<$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 = Matrix3::new(
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 = Matrix3::new(
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 = Matrix3::new(
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 $t
);
let product: Matrix3<$t> =
<Matrix3<$t> as ArgminDot<Matrix3<$t>, Matrix3<$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 = Matrix3::new(
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 = Matrix3::new(
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 $t
);
let product: Matrix3<$t> =
<Matrix3<$t> as ArgminDot<$t, Matrix3<$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 = Matrix3::new(
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 = Matrix3::new(
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 $t
);
let product: Matrix3<$t> =
<$t as ArgminDot<Matrix3<$t>, Matrix3<$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);
}