use std::cmp::Ordering;
use std::fmt::{self, Debug, Formatter};
use std::hash::{Hash, Hasher};
use std::iter::Sum;
use std::ops::{
Add, AddAssign, Div, DivAssign, Mul, MulAssign, Neg, Rem, RemAssign, Sub, SubAssign,
};
use crate::Numeric;
#[derive(Default, Copy, Clone)]
pub struct Scalar(f64);
impl Scalar {
pub const ZERO: Self = Self(0.0);
pub const ONE: Self = Self(1.0);
pub const INFINITY: Self = Self(f64::INFINITY);
pub const fn new(x: f64) -> Self {
Self(if is_nan(x) { 0.0 } else { x })
}
pub const fn get(self) -> f64 {
self.0
}
}
#[allow(clippy::unusual_byte_groupings)]
const fn is_nan(x: f64) -> bool {
let x_bits = unsafe { std::mem::transmute::<f64, u64>(x) };
(x_bits << 1 >> (64 - 12 + 1)) == 0b0_111_1111_1111 && (x_bits << 12) != 0
}
impl Numeric for Scalar {
fn zero() -> Self {
Self(0.0)
}
fn is_finite(self) -> bool {
self.0.is_finite()
}
}
impl Debug for Scalar {
fn fmt(&self, f: &mut Formatter) -> fmt::Result {
self.0.fmt(f)
}
}
impl Eq for Scalar {}
impl PartialEq for Scalar {
fn eq(&self, other: &Self) -> bool {
assert!(!self.0.is_nan() && !other.0.is_nan(), "float is NaN");
self.0 == other.0
}
}
impl PartialEq<f64> for Scalar {
fn eq(&self, other: &f64) -> bool {
self == &Self(*other)
}
}
impl Ord for Scalar {
fn cmp(&self, other: &Self) -> Ordering {
self.0.partial_cmp(&other.0).expect("float is NaN")
}
}
impl PartialOrd for Scalar {
fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
Some(self.cmp(other))
}
}
impl Hash for Scalar {
fn hash<H: Hasher>(&self, state: &mut H) {
debug_assert!(!self.0.is_nan(), "float is NaN");
self.0.to_bits().hash(state);
}
}
impl From<f64> for Scalar {
fn from(float: f64) -> Self {
Self::new(float)
}
}
impl From<Scalar> for f64 {
fn from(scalar: Scalar) -> Self {
scalar.0
}
}
impl Neg for Scalar {
type Output = Self;
fn neg(self) -> Self::Output {
Self::new(-self.0)
}
}
impl<T: Into<Self>> Add<T> for Scalar {
type Output = Self;
fn add(self, rhs: T) -> Self::Output {
Self::new(self.0 + rhs.into().0)
}
}
impl<T: Into<Self>> AddAssign<T> for Scalar {
fn add_assign(&mut self, rhs: T) {
*self = *self + rhs.into();
}
}
impl<T: Into<Self>> Sub<T> for Scalar {
type Output = Self;
fn sub(self, rhs: T) -> Self::Output {
Self::new(self.0 - rhs.into().0)
}
}
impl<T: Into<Self>> SubAssign<T> for Scalar {
fn sub_assign(&mut self, rhs: T) {
*self = *self - rhs.into();
}
}
impl<T: Into<Self>> Mul<T> for Scalar {
type Output = Self;
fn mul(self, rhs: T) -> Self::Output {
Self::new(self.0 * rhs.into().0)
}
}
impl<T: Into<Self>> MulAssign<T> for Scalar {
fn mul_assign(&mut self, rhs: T) {
*self = *self * rhs.into();
}
}
impl<T: Into<Self>> Div<T> for Scalar {
type Output = Self;
fn div(self, rhs: T) -> Self::Output {
Self::new(self.0 / rhs.into().0)
}
}
impl<T: Into<Self>> DivAssign<T> for Scalar {
fn div_assign(&mut self, rhs: T) {
*self = *self / rhs.into();
}
}
impl<T: Into<Self>> Rem<T> for Scalar {
type Output = Self;
fn rem(self, rhs: T) -> Self::Output {
Self::new(self.0 % rhs.into().0)
}
}
impl<T: Into<Self>> RemAssign<T> for Scalar {
fn rem_assign(&mut self, rhs: T) {
*self = *self % rhs.into();
}
}
impl Sum for Scalar {
fn sum<I: Iterator<Item = Self>>(iter: I) -> Self {
Self::new(iter.map(|s| s.0).sum())
}
}
impl<'a> Sum<&'a Self> for Scalar {
fn sum<I: Iterator<Item = &'a Self>>(iter: I) -> Self {
Self::new(iter.map(|s| s.0).sum())
}
}