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// Copyright 2014-2018 Optimal Computing (NZ) Ltd.
// Licensed under the MIT license. See LICENSE for details.
use std::cmp::PartialOrd;
use std::ops::{Sub,Div,Neg};
use num_traits::Zero;
/// ApproxEqRatio is a trait for approximate equality comparisons bounding the ratio
/// of the difference to the larger.
pub trait ApproxEqRatio : Div<Output = Self> + Sub<Output = Self> + Neg<Output = Self>
+ PartialOrd + Zero + Sized + Copy
{
/// This method tests if `self` and `other` are nearly equal by bounding the
/// difference between them to some number much less than the larger of the two.
/// This bound is set as the ratio of the difference to the larger.
fn approx_eq_ratio(&self, other: &Self, ratio: Self) -> bool {
// Not equal if signs are not equal
if *self < Self::zero() && *other > Self::zero() { return false; }
if *self > Self::zero() && *other < Self::zero() { return false; }
// Handle all zero cases
match (*self == Self::zero(), *other == Self::zero()) {
(true,true) => return true,
(true,false) => return false,
(false,true) => return false,
_ => { }
}
// abs
let (s,o) = if *self < Self::zero() {
(-*self, -*other)
} else {
(*self, *other)
};
let (smaller,larger) = if s < o {
(s,o)
} else {
(o,s)
};
let difference: Self = larger.sub(smaller);
let actual_ratio: Self = difference.div(larger);
actual_ratio < ratio
}
/// This method tests if `self` and `other` are not nearly equal by bounding the
/// difference between them to some number much less than the larger of the two.
/// This bound is set as the ratio of the difference to the larger.
#[inline]
fn approx_ne_ratio(&self, other: &Self, ratio: Self) -> bool {
!self.approx_eq_ratio(other, ratio)
}
}
impl ApproxEqRatio for f32 { }
#[test]
fn f32_approx_eq_ratio_test1() {
let x: f32 = 0.00004_f32;
let y: f32 = 0.00004001_f32;
assert!(x.approx_eq_ratio(&y, 0.00025));
assert!(y.approx_eq_ratio(&x, 0.00025));
assert!(x.approx_ne_ratio(&y, 0.00024));
assert!(y.approx_ne_ratio(&x, 0.00024));
}
#[test]
fn f32_approx_eq_ratio_test2() {
let x: f32 = 0.00000000001_f32;
let y: f32 = 0.00000000005_f32;
assert!(x.approx_eq_ratio(&y, 0.81));
assert!(y.approx_ne_ratio(&x, 0.79));
}
#[test]
fn f32_approx_eq_ratio_test_zero_eq_zero_returns_true() {
let x: f32 = 0.0_f32;
assert!(x.approx_eq_ratio(&x,0.1) == true);
}
#[test]
fn f32_approx_eq_ratio_test_zero_ne_zero_returns_false() {
let x: f32 = 0.0_f32;
assert!(x.approx_ne_ratio(&x,0.1) == false);
}
#[test]
fn f32_approx_eq_ratio_test_against_a_zero_is_false() {
let x: f32 = 0.0_f32;
let y: f32 = 0.1_f32;
assert!(x.approx_eq_ratio(&y,0.1) == false);
assert!(y.approx_eq_ratio(&x,0.1) == false);
}
#[test]
fn f32_approx_eq_ratio_test_negative_numbers() {
let x: f32 = -3.0_f32;
let y: f32 = -4.0_f32;
// -3 and -4 should not be equal at a ratio of 0.1
assert!(x.approx_eq_ratio(&y,0.1) == false);
}
impl ApproxEqRatio for f64 { }
#[test]
fn f64_approx_eq_ratio_test1() {
let x: f64 = 0.000000004_f64;
let y: f64 = 0.000000004001_f64;
assert!(x.approx_eq_ratio(&y, 0.00025));
assert!(y.approx_eq_ratio(&x, 0.00025));
assert!(x.approx_ne_ratio(&y, 0.00024));
assert!(y.approx_ne_ratio(&x, 0.00024));
}
#[test]
fn f64_approx_eq_ratio_test2() {
let x: f64 = 0.0000000000000001_f64;
let y: f64 = 0.0000000000000005_f64;
assert!(x.approx_eq_ratio(&y, 0.81));
assert!(y.approx_ne_ratio(&x, 0.79));
}
#[test]
fn f64_approx_eq_ratio_test_zero_eq_zero_returns_true() {
let x: f64 = 0.0_f64;
assert!(x.approx_eq_ratio(&x,0.1) == true);
}
#[test]
fn f64_approx_eq_ratio_test_zero_ne_zero_returns_false() {
let x: f64 = 0.0_f64;
assert!(x.approx_ne_ratio(&x,0.1) == false);
}
#[test]
fn f64_approx_eq_ratio_test_negative_numbers() {
let x: f64 = -3.0_f64;
let y: f64 = -4.0_f64;
// -3 and -4 should not be equal at a ratio of 0.1
assert!(x.approx_eq_ratio(&y,0.1) == false);
}