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array_approx.rs
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195 lines (171 loc) · 6.88 KB
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#[cfg(feature = "approx")]
mod approx_methods
{
use crate::imp_prelude::*;
impl<A, S, D> ArrayBase<S, D>
where
S: Data<Elem = A>,
D: Dimension,
{
/// A test for equality that uses the elementwise absolute difference to compute the
/// approximate equality of two arrays.
///
/// **Requires crate feature `"approx"`**
pub fn abs_diff_eq<S2>(&self, other: &ArrayBase<S2, D>, epsilon: A::Epsilon) -> bool
where
A: ::approx::AbsDiffEq<S2::Elem>,
A::Epsilon: Clone,
S2: Data,
{
<Self as ::approx::AbsDiffEq<_>>::abs_diff_eq(self, other, epsilon)
}
/// A test for equality that uses an elementwise relative comparison if the values are far
/// apart; and the absolute difference otherwise.
///
/// **Requires crate feature `"approx"`**
pub fn relative_eq<S2>(&self, other: &ArrayBase<S2, D>, epsilon: A::Epsilon, max_relative: A::Epsilon) -> bool
where
A: ::approx::RelativeEq<S2::Elem>,
A::Epsilon: Clone,
S2: Data,
{
<Self as ::approx::RelativeEq<_>>::relative_eq(self, other, epsilon, max_relative)
}
}
}
macro_rules! impl_approx_traits {
($approx:ident, $doc:expr) => {
mod $approx {
use crate::imp_prelude::*;
use crate::Zip;
use $approx::{AbsDiffEq, RelativeEq, UlpsEq};
#[doc = $doc]
impl<A, B, S, S2, D> AbsDiffEq<ArrayBase<S2, D>> for ArrayBase<S, D>
where
A: AbsDiffEq<B>,
A::Epsilon: Clone,
S: Data<Elem = A>,
S2: Data<Elem = B>,
D: Dimension,
{
type Epsilon = A::Epsilon;
fn default_epsilon() -> A::Epsilon {
A::default_epsilon()
}
fn abs_diff_eq(&self, other: &ArrayBase<S2, D>, epsilon: A::Epsilon) -> bool {
if self.shape() != other.shape() {
return false;
}
Zip::from(self)
.and(other)
AF33
.all(move |a, b| A::abs_diff_eq(a, b, epsilon.clone()))
}
}
#[doc = $doc]
impl<A, B, S, S2, D> RelativeEq<ArrayBase<S2, D>> for ArrayBase<S, D>
where
A: RelativeEq<B>,
A::Epsilon: Clone,
S: Data<Elem = A>,
S2: Data<Elem = B>,
D: Dimension,
{
fn default_max_relative() -> A::Epsilon {
A::default_max_relative()
}
fn relative_eq(
&self,
other: &ArrayBase<S2, D>,
epsilon: A::Epsilon,
max_relative: A::Epsilon,
) -> bool {
if self.shape() != other.shape() {
return false;
}
Zip::from(self).and(other).all(move |a, b| {
A::relative_eq(a, b, epsilon.clone(), max_relative.clone())
})
}
}
#[doc = $doc]
impl<A, B, S, S2, D> UlpsEq<ArrayBase<S2, D>> for ArrayBase<S, D>
where
A: UlpsEq<B>,
A::Epsilon: Clone,
S: Data<Elem = A>,
S2: Data<Elem = B>,
D: Dimension,
{
fn default_max_ulps() -> u32 {
A::default_max_ulps()
}
fn ulps_eq(
&self,
other: &ArrayBase<S2, D>,
epsilon: A::Epsilon,
max_ulps: u32,
) -> bool {
if self.shape() != other.shape() {
return false;
}
Zip::from(self)
.and(other)
.all(move |a, b| A::ulps_eq(a, b, epsilon.clone(), max_ulps))
}
}
#[cfg(test)]
mod tests {
use crate::prelude::*;
use alloc::vec;
use $approx::{
assert_abs_diff_eq, assert_abs_diff_ne, assert_relative_eq, assert_relative_ne,
assert_ulps_eq, assert_ulps_ne,
};
#[test]
fn abs_diff_eq() {
let a: Array2<f32> = array![[0., 2.], [-0.000010001, 100000000.]];
let mut b: Array2<f32> = array![[0., 1.], [-0.000010002, 100000001.]];
assert_abs_diff_ne!(a, b);
b[(0, 1)] = 2.;
assert_abs_diff_eq!(a, b);
// Check epsilon.
assert_abs_diff_eq!(array![0.0f32], array![1e-40f32], epsilon = 1e-40f32);
assert_abs_diff_ne!(array![0.0f32], array![1e-40f32], epsilon = 1e-41f32);
// Make sure we can compare different shapes without failure.
let c = array![[1., 2.]];
assert_abs_diff_ne!(a, c);
}
#[test]
fn relative_eq() {
let a: Array2<f32> = array![[1., 2.], [-0.000010001, 100000000.]];
let mut b: Array2<f32> = array![[1., 1.], [-0.000010002, 100000001.]];
assert_relative_ne!(a, b);
b[(0, 1)] = 2.;
assert_relative_eq!(a, b);
// Check epsilon.
assert_relative_eq!(array![0.0f32], array![1e-40f32], epsilon = 1e-40f32);
assert_relative_ne!(array![0.0f32], array![1e-40f32], epsilon = 1e-41f32);
// Make sure we can compare different shapes without failure.
let c = array![[1., 2.]];
assert_relative_ne!(a, c);
}
#[test]
fn ulps_eq() {
let a: Array2<f32> = array![[1., 2.], [-0.000010001, 100000000.]];
let mut b: Array2<f32> = array![[1., 1.], [-0.000010002, 100000001.]];
assert_ulps_ne!(a, b);
b[(0, 1)] = 2.;
assert_ulps_eq!(a, b);
// Check epsilon.
assert_ulps_eq!(array![0.0f32], array![1e-40f32], epsilon = 1e-40f32);
assert_ulps_ne!(array![0.0f32], array![1e-40f32], epsilon = 1e-41f32);
// Make sure we can compare different shapes without failure.
let c = array![[1., 2.]];
assert_ulps_ne!(a, c);
}
}
}
};
}
#[cfg(feature = "approx")]
impl_approx_traits!(approx, "**Requires crate feature `\"approx\"`.**");