psychopath/src/lerp.rs
2016-06-29 14:30:42 -07:00

156 lines
3.3 KiB
Rust

#![allow(dead_code)]
/// Trait for allowing a type to be linearly interpolated.
pub trait Lerp {
fn lerp(self, other: Self, alpha: f32) -> Self;
}
/// Interpolates between two instances of a Lerp types.
pub fn lerp<T: Lerp>(a: T, b: T, alpha: f32) -> T {
debug_assert!(alpha >= 0.0);
debug_assert!(alpha <= 1.0);
a.lerp(b, alpha)
}
/// Interpolates a slice of data as if each adjecent pair of elements
/// represent a linear segment.
pub fn lerp_slice<T: Lerp + Copy>(s: &[T], alpha: f32) -> T {
debug_assert!(s.len() > 0);
debug_assert!(alpha >= 0.0);
debug_assert!(alpha <= 1.0);
if s.len() == 1 || alpha == 1.0 {
return *s.last().unwrap();
} else {
let tmp = alpha * ((s.len() - 1) as f32);
let i1 = tmp as usize;
let i2 = i1 + 1;
let alpha2 = tmp - (i1 as f32);
return lerp(s[i1], s[i2], alpha2);
}
}
pub fn lerp_slice_with<T, F>(s: &[T], alpha: f32, f: F) -> T
where T: Copy,
F: Fn(T, T, f32) -> T
{
debug_assert!(s.len() > 0);
debug_assert!(alpha >= 0.0);
debug_assert!(alpha <= 1.0);
if s.len() == 1 || alpha == 1.0 {
return *s.last().unwrap();
} else {
let tmp = alpha * ((s.len() - 1) as f32);
let i1 = tmp as usize;
let i2 = i1 + 1;
let alpha2 = tmp - (i1 as f32);
return f(s[i1], s[i2], alpha2);
}
}
impl Lerp for f32 {
fn lerp(self, other: f32, alpha: f32) -> f32 {
(self * (1.0 - alpha)) + (other * alpha)
}
}
impl Lerp for f64 {
fn lerp(self, other: f64, alpha: f32) -> f64 {
(self * (1.0 - alpha as f64)) + (other * alpha as f64)
}
}
impl<T: Lerp> Lerp for (T, T) {
fn lerp(self, other: (T, T), alpha: f32) -> (T, T) {
(self.0.lerp(other.0, alpha), self.1.lerp(other.1, alpha))
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn lerp1() {
let a = 1.0f32;
let b = 2.0f32;
let alpha = 0.0f32;
assert_eq!(1.0, lerp(a, b, alpha));
}
#[test]
fn lerp2() {
let a = 1.0f32;
let b = 2.0f32;
let alpha = 1.0f32;
assert_eq!(2.0, lerp(a, b, alpha));
}
#[test]
fn lerp3() {
let a = 1.0f32;
let b = 2.0f32;
let alpha = 0.5f32;
assert_eq!(1.5, lerp(a, b, alpha));
}
#[test]
fn lerp_slice1() {
let s = [0.0f32, 1.0, 2.0, 3.0, 4.0];
let alpha = 0.0f32;
assert_eq!(0.0, lerp_slice(&s[..], alpha));
}
#[test]
fn lerp_slice2() {
let s = [0.0f32, 1.0, 2.0, 3.0, 4.0];
let alpha = 1.0f32;
assert_eq!(4.0, lerp_slice(&s[..], alpha));
}
#[test]
fn lerp_slice3() {
let s = [0.0f32, 1.0, 2.0, 3.0, 4.0];
let alpha = 0.5f32;
assert_eq!(2.0, lerp_slice(&s[..], alpha));
}
#[test]
fn lerp_slice4() {
let s = [0.0f32, 1.0, 2.0, 3.0, 4.0];
let alpha = 0.25f32;
assert_eq!(1.0, lerp_slice(&s[..], alpha));
}
#[test]
fn lerp_slice5() {
let s = [0.0f32, 1.0, 2.0, 3.0, 4.0];
let alpha = 0.75f32;
assert_eq!(3.0, lerp_slice(&s[..], alpha));
}
#[test]
fn lerp_slice6() {
let s = [0.0f32, 1.0, 2.0, 3.0, 4.0];
let alpha = 0.625f32;
assert_eq!(2.5, lerp_slice(&s[..], alpha));
}
}