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// Copyright © 2026 Mikhail Hogrefe
//
// This file is part of Malachite.
//
// Malachite is free software: you can redistribute it and/or modify it under the terms of the GNU
// Lesser General Public License (LGPL) as published by the Free Software Foundation; either version
// 3 of the License, or (at your option) any later version. See <https://www.gnu.org/licenses/>.
use crate::integer_vector::arithmetic::dot_general::vec_dot_general;
use crate::natural::Natural;
use crate::natural_vector::NaturalVector;
use malachite_base::num::arithmetic::traits::Dot;
impl Dot<Self> for NaturalVector {
type Output = Natural;
/// Computes the dot product of two [`NaturalVector`]s, taking the first by value and the second
/// by value.
///
/// The dot product is the sum of the products of corresponding elements, and is 0 for two
/// 0-dimensional vectors.
///
/// $$
/// f(v, w) = \sum_{i=0}^{n-1} v_iw_i,
/// $$
///
/// where $n$ is the dimension of $v$ and $w$.
///
/// # Worst-case complexity
/// $T(n, m) = O(nm \log m \log\log m)$
///
/// $M(m) = O(m \log m)$
///
/// where $T$ is time, $M$ is additional memory, $n$ is the dimension of the vectors, and $m$ is
/// the largest number of significant bits of any element.
///
/// # Panics
/// Panics if the vectors have different dimensions.
///
/// # Examples
/// ```
/// use core::str::FromStr;
/// use malachite_base::num::arithmetic::traits::Dot;
/// use malachite_nz::natural_vector::NaturalVector;
///
/// let v = NaturalVector::from_str("(1, 2, 3)").unwrap();
/// let w = NaturalVector::from_str("(4, 5, 6)").unwrap();
/// assert_eq!(v.clone().dot(w.clone()), 32);
/// assert_eq!(
/// NaturalVector::from_str("()")
/// .unwrap()
/// .dot(NaturalVector::from_str("()").unwrap()),
/// 0
/// );
/// ```
///
/// This is equivalent to `_fmpz_vec_dot` from `fmpz_vec/dot.c`, FLINT 3.6.0.
#[inline]
fn dot(mut self, mut other: Self) -> Natural {
if self.elements.len() == 1 && other.elements.len() == 1 {
// A single product can reuse the allocation of an owned element.
self.elements.pop().unwrap() * other.elements.pop().unwrap()
} else {
(&self).dot(&other)
}
}
}
impl Dot<&Self> for NaturalVector {
type Output = Natural;
/// Computes the dot product of two [`NaturalVector`]s, taking the first by value and the second
/// by reference.
///
/// The dot product is the sum of the products of corresponding elements, and is 0 for two
/// 0-dimensional vectors.
///
/// $$
/// f(v, w) = \sum_{i=0}^{n-1} v_iw_i,
/// $$
///
/// where $n$ is the dimension of $v$ and $w$.
///
/// # Worst-case complexity
/// $T(n, m) = O(nm \log m \log\log m)$
///
/// $M(m) = O(m \log m)$
///
/// where $T$ is time, $M$ is additional memory, $n$ is the dimension of the vectors, and $m$ is
/// the largest number of significant bits of any element.
///
/// # Panics
/// Panics if the vectors have different dimensions.
///
/// # Examples
/// ```
/// use core::str::FromStr;
/// use malachite_base::num::arithmetic::traits::Dot;
/// use malachite_nz::natural_vector::NaturalVector;
///
/// let v = NaturalVector::from_str("(1, 2, 3)").unwrap();
/// let w = NaturalVector::from_str("(4, 5, 6)").unwrap();
/// assert_eq!(v.clone().dot(&w), 32);
/// assert_eq!(
/// NaturalVector::from_str("()")
/// .unwrap()
/// .dot(NaturalVector::from_str("()").unwrap()),
/// 0
/// );
/// ```
///
/// This is equivalent to `_fmpz_vec_dot` from `fmpz_vec/dot.c`, FLINT 3.6.0.
#[inline]
fn dot(mut self, other: &Self) -> Natural {
if self.elements.len() == 1 && other.elements.len() == 1 {
// A single product can reuse the allocation of an owned element.
self.elements.pop().unwrap() * &other.elements[0]
} else {
(&self).dot(other)
}
}
}
impl Dot<NaturalVector> for &NaturalVector {
type Output = Natural;
/// Computes the dot product of two [`NaturalVector`]s, taking the first by reference and the
/// second by value.
///
/// The dot product is the sum of the products of corresponding elements, and is 0 for two
/// 0-dimensional vectors.
///
/// $$
/// f(v, w) = \sum_{i=0}^{n-1} v_iw_i,
/// $$
///
/// where $n$ is the dimension of $v$ and $w$.
///
/// # Worst-case complexity
/// $T(n, m) = O(nm \log m \log\log m)$
///
/// $M(m) = O(m \log m)$
///
/// where $T$ is time, $M$ is additional memory, $n$ is the dimension of the vectors, and $m$ is
/// the largest number of significant bits of any element.
///
/// # Panics
/// Panics if the vectors have different dimensions.
///
/// # Examples
/// ```
/// use core::str::FromStr;
/// use malachite_base::num::arithmetic::traits::Dot;
/// use malachite_nz::natural_vector::NaturalVector;
///
/// let v = NaturalVector::from_str("(1, 2, 3)").unwrap();
/// let w = NaturalVector::from_str("(4, 5, 6)").unwrap();
/// assert_eq!((&v).dot(w.clone()), 32);
/// assert_eq!(
/// NaturalVector::from_str("()")
/// .unwrap()
/// .dot(NaturalVector::from_str("()").unwrap()),
/// 0
/// );
/// ```
///
/// This is equivalent to `_fmpz_vec_dot` from `fmpz_vec/dot.c`, FLINT 3.6.0.
#[inline]
fn dot(self, mut other: NaturalVector) -> Natural {
if self.elements.len() == 1 && other.elements.len() == 1 {
// A single product can reuse the allocation of an owned element.
&self.elements[0] * other.elements.pop().unwrap()
} else {
self.dot(&other)
}
}
}
impl Dot<&NaturalVector> for &NaturalVector {
type Output = Natural;
/// Computes the dot product of two [`NaturalVector`]s, taking the first by reference and the
/// second by reference.
///
/// The dot product is the sum of the products of corresponding elements, and is 0 for two
/// 0-dimensional vectors.
///
/// $$
/// f(v, w) = \sum_{i=0}^{n-1} v_iw_i,
/// $$
///
/// where $n$ is the dimension of $v$ and $w$.
///
/// # Worst-case complexity
/// $T(n, m) = O(nm \log m \log\log m)$
///
/// $M(m) = O(m \log m)$
///
/// where $T$ is time, $M$ is additional memory, $n$ is the dimension of the vectors, and $m$ is
/// the largest number of significant bits of any element.
///
/// # Panics
/// Panics if the vectors have different dimensions.
///
/// # Examples
/// ```
/// use core::str::FromStr;
/// use malachite_base::num::arithmetic::traits::Dot;
/// use malachite_nz::natural_vector::NaturalVector;
///
/// let v = NaturalVector::from_str("(1, 2, 3)").unwrap();
/// let w = NaturalVector::from_str("(4, 5, 6)").unwrap();
/// assert_eq!((&v).dot(&w), 32);
/// assert_eq!(
/// NaturalVector::from_str("()")
/// .unwrap()
/// .dot(NaturalVector::from_str("()").unwrap()),
/// 0
/// );
/// ```
///
/// This is equivalent to `_fmpz_vec_dot` from `fmpz_vec/dot.c`, FLINT 3.6.0.
#[inline]
fn dot(self, other: &NaturalVector) -> Natural {
assert_eq!(
self.elements.len(),
other.elements.len(),
"the vectors must have the same dimension"
);
vec_dot_general(None, false, &self.elements, &other.elements, false)
}
}