use crate::danger::core_simd_api::SimdRegister;
use crate::math::Math;
#[inline(always)]
pub unsafe fn generic_cosine<T, R, M>(dims: usize, a: &[T], b: &[T]) -> T
where
T: Copy,
R: SimdRegister<T>,
M: Math<T>,
{
debug_assert_eq!(a.len(), dims, "Vector a does not match size `dims`");
debug_assert_eq!(b.len(), dims, "Vector b does not match size `dims`");
let offset_from = dims % R::elements_per_dense();
let a_ptr = a.as_ptr();
let b_ptr = b.as_ptr();
let mut norm_a = R::zeroed_dense();
let mut norm_b = R::zeroed_dense();
let mut i = 0;
while i < (dims - offset_from) {
let l1 = R::load_dense(a_ptr.add(i));
let l2 = R::load_dense(b_ptr.add(i));
norm_a = R::fmadd_dense(l1, l1, norm_a);
norm_b = R::fmadd_dense(l2, l2, norm_b);
i += R::elements_per_dense();
}
let mut norm_a = R::sum_to_register(norm_a);
let mut norm_b = R::sum_to_register(norm_b);
let offset_from = offset_from % R::elements_per_lane();
while i < (dims - offset_from) {
let l1 = R::load(a_ptr.add(i));
let l2 = R::load(b_ptr.add(i));
norm_a = R::fmadd(l1, l1, norm_a);
norm_b = R::fmadd(l2, l2, norm_b);
i += R::elements_per_lane();
}
let mut norm_a = R::sum_to_value(norm_a);
let mut norm_b = R::sum_to_value(norm_b);
while i < dims {
let a = *a.get_unchecked(i);
let b = *b.get_unchecked(i);
norm_a = M::add(norm_a, M::mul(a, a));
norm_b = M::add(norm_b, M::mul(b, b));
i += 1;
}
let dot = super::op_dot::generic_dot::<T, R, M>(dims, a, b);
cosine::<T, M>(dot, norm_a, norm_b)
}
#[inline(always)]
pub(crate) fn cosine<T: Copy, M: Math<T>>(dot_product: T, norm_x: T, norm_y: T) -> T {
if M::cmp_eq(norm_x, M::zero()) && M::cmp_eq(norm_y, M::zero()) {
M::zero()
} else if M::cmp_eq(norm_x, M::zero()) || M::cmp_eq(norm_y, M::zero()) {
M::one()
} else {
M::sub(
M::one(),
M::div(dot_product, M::sqrt(M::mul(norm_x, norm_y))),
)
}
}
#[cfg(test)]
pub(crate) unsafe fn test_cosine<T, R>(l1: Vec<T>, l2: Vec<T>)
where
T: Copy + PartialEq + std::fmt::Debug,
R: SimdRegister<T>,
crate::math::AutoMath: Math<T>,
{
use crate::math::AutoMath;
let dims = l1.len();
let value = generic_cosine::<T, R, AutoMath>(dims, &l1, &l2);
let expected_value = crate::test_utils::simple_cosine(&l1, &l2);
assert!(
AutoMath::is_close(value, expected_value),
"value missmatch {value:?} vs {expected_value:?}"
);
}