jocull
jocull

Reputation: 21115

assert_eq! with floating point numbers and delta

Is there a preferred way to do an assert with two floating point numbers and a delta in Rust?

For example...

let a = 3.0;
let b = 2.9999999999;
assert_eq!(a, b, 0.0001); // Imaginary syntax where a ~= b, within 0.0001

Upvotes: 48

Views: 19479

Answers (5)

Jonas Pleyer
Jonas Pleyer

Reputation: 11

If you want to compare not only two floats but two whole structs with approx, you can use the approx-derive crate to automatically derive the necessary AbsDiffEq or RelDiffEq trait to do that. For transparency: I am the author of said crate.

Example from the documentation:

use approx_derive::AbsDiffEq;

// Define a new type and derive the AbsDiffEq trait
#[derive(AbsDiffEq, PartialEq, Debug)]
struct Position {
    x: f64,
    y: f64
}

// Compare if two given positions match
// with respect to geiven epsilon.
let p1 = Position { x: 1.01, y: 2.36 };
let p2 = Position { x: 0.99, y: 2.38 };
approx::assert_abs_diff_eq!(p1, p2, epsilon = 0.021);

Upvotes: 1

eulerdisk
eulerdisk

Reputation: 4709

No. At the moment, you have to check the difference by yourself or use the float-cmp crate.

Also check out the f32 constants.

Upvotes: 19

schmijos
schmijos

Reputation: 8695

There's also the approx crate which lets you do things like these:

relative_eq!(1.0, 1.0, epsilon = f64::EPSILON);
relative_eq!(1.0, 1.0, max_relative = 1.0);
relative_eq!(1.0, 1.0, epsilon = f64::EPSILON, max_relative = 1.0);

Upvotes: 20

halfelf
halfelf

Reputation: 10107

There is another complete crate assert_approx_eq solving this pain, better than float-cmp.

use assert_approx_eq::assert_approx_eq;

let a = 3f64;
let b = 4f64;

assert_approx_eq!(a, b); // panics
assert_approx_eq!(a, b, 2f64); //does not panic
assert_approx_eq!(a, b, 1e-3f64); // panics

Upvotes: 6

user1535427
user1535427

Reputation: 127

There's no inbuilt macro for it, but you can create your own.

The following is an implementation of the "absolute error" version described in this article.

macro_rules! assert_delta {
    ($x:expr, $y:expr, $d:expr) => {
        if !($x - $y < $d || $y - $x < $d) { panic!(); }
    },
}

Specifically, the macro assert_delta panics if both the difference between x and y and y and x are greater or equal to d (the "delta" or "epsilon" value, i.e. the tolerance).

This is a bad way to do it because a fixed epsilon, chosen because it "looks small", could actually be way too large when the numbers being compared are very small as well. The comparison would return "true" for numbers that are quite different. And when the numbers are very large, the epsilon could end up being smaller than the smallest rounding error, so that the comparison always returns "false".

Given that the previous implementation breaks in various situations, in general, you should not use it. You may want to implement a more robust macro, e.g. the one that checks for a "relative error".

Upvotes: 11

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