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| 1 | +use crate::imp_prelude::*; |
| 2 | +use crate::{FoldWhile, Zip}; |
| 3 | +use approx::{AbsDiffEq, RelativeEq, UlpsEq}; |
| 4 | + |
| 5 | +/// **Requires crate feature `"approx"`** |
| 6 | +impl<A, S, D> AbsDiffEq for ArrayBase<S, D> |
| 7 | +where |
| 8 | + A: AbsDiffEq, |
| 9 | + A::Epsilon: Clone, |
| 10 | + S: Data<Elem = A>, |
| 11 | + D: Dimension, |
| 12 | +{ |
| 13 | + type Epsilon = A::Epsilon; |
| 14 | + |
| 15 | + fn default_epsilon() -> A::Epsilon { |
| 16 | + A::default_epsilon() |
| 17 | + } |
| 18 | + |
| 19 | + fn abs_diff_eq(&self, other: &ArrayBase<S, D>, epsilon: A::Epsilon) -> bool { |
| 20 | + if self.shape() != other.shape() { |
| 21 | + return false; |
| 22 | + } |
| 23 | + Zip::from(self) |
| 24 | + .and(other) |
| 25 | + .fold_while(true, |_, a, b| { |
| 26 | + if A::abs_diff_ne(a, b, epsilon.clone()) { |
| 27 | + FoldWhile::Done(false) |
| 28 | + } else { |
| 29 | + FoldWhile::Continue(true) |
| 30 | + } |
| 31 | + }) |
| 32 | + .into_inner() |
| 33 | + } |
| 34 | +} |
| 35 | + |
| 36 | +/// **Requires crate feature `"approx"`** |
| 37 | +impl<A, S, D> RelativeEq for ArrayBase<S, D> |
| 38 | +where |
| 39 | + A: RelativeEq, |
| 40 | + A::Epsilon: Clone, |
| 41 | + S: Data<Elem = A>, |
| 42 | + D: Dimension, |
| 43 | +{ |
| 44 | + fn default_max_relative() -> A::Epsilon { |
| 45 | + A::default_max_relative() |
| 46 | + } |
| 47 | + |
| 48 | + fn relative_eq( |
| 49 | + &self, |
| 50 | + other: &ArrayBase<S, D>, |
| 51 | + epsilon: A::Epsilon, |
| 52 | + max_relative: A::Epsilon, |
| 53 | + ) -> bool { |
| 54 | + if self.shape() != other.shape() { |
| 55 | + return false; |
| 56 | + } |
| 57 | + Zip::from(self) |
| 58 | + .and(other) |
| 59 | + .fold_while(true, |_, a, b| { |
| 60 | + if A::relative_ne(a, b, epsilon.clone(), max_relative.clone()) { |
| 61 | + FoldWhile::Done(false) |
| 62 | + } else { |
| 63 | + FoldWhile::Continue(true) |
| 64 | + } |
| 65 | + }) |
| 66 | + .into_inner() |
| 67 | + } |
| 68 | +} |
| 69 | + |
| 70 | +/// **Requires crate feature `"approx"`** |
| 71 | +impl<A, S, D> UlpsEq for ArrayBase<S, D> |
| 72 | +where |
| 73 | + A: UlpsEq, |
| 74 | + A::Epsilon: Clone, |
| 75 | + S: Data<Elem = A>, |
| 76 | + D: Dimension, |
| 77 | +{ |
| 78 | + fn default_max_ulps() -> u32 { |
| 79 | + A::default_max_ulps() |
| 80 | + } |
| 81 | + |
| 82 | + fn ulps_eq(&self, other: &ArrayBase<S, D>, epsilon: A::Epsilon, max_ulps: u32) -> bool { |
| 83 | + if self.shape() != other.shape() { |
| 84 | + return false; |
| 85 | + } |
| 86 | + Zip::from(self) |
| 87 | + .and(other) |
| 88 | + .fold_while(true, |_, a, b| { |
| 89 | + if A::ulps_ne(a, b, epsilon.clone(), max_ulps) { |
| 90 | + FoldWhile::Done(false) |
| 91 | + } else { |
| 92 | + FoldWhile::Continue(true) |
| 93 | + } |
| 94 | + }) |
| 95 | + .into_inner() |
| 96 | + } |
| 97 | +} |
| 98 | + |
| 99 | +#[cfg(test)] |
| 100 | +mod tests { |
| 101 | + use crate::prelude::*; |
| 102 | + use approx::{ |
| 103 | + assert_abs_diff_eq, assert_abs_diff_ne, assert_relative_eq, assert_relative_ne, |
| 104 | + assert_ulps_eq, assert_ulps_ne, |
| 105 | + }; |
| 106 | + |
| 107 | + #[test] |
| 108 | + fn abs_diff_eq() { |
| 109 | + let a: Array2<f32> = array![[0., 2.], [-0.000010001, 100000000.]]; |
| 110 | + let mut b: Array2<f32> = array![[0., 1.], [-0.000010002, 100000001.]]; |
| 111 | + assert_abs_diff_ne!(a, b); |
| 112 | + b[(0, 1)] = 2.; |
| 113 | + assert_abs_diff_eq!(a, b); |
| 114 | + |
| 115 | + // Check epsilon. |
| 116 | + assert_abs_diff_eq!(array![0.0f32], array![1e-40f32], epsilon = 1e-40f32); |
| 117 | + assert_abs_diff_ne!(array![0.0f32], array![1e-40f32], epsilon = 1e-41f32); |
| 118 | + |
| 119 | + // Make sure we can compare different shapes without failure. |
| 120 | + let c = array![[1., 2.]]; |
| 121 | + assert_abs_diff_ne!(a, c); |
| 122 | + } |
| 123 | + |
| 124 | + #[test] |
| 125 | + fn relative_eq() { |
| 126 | + let a: Array2<f32> = array![[1., 2.], [-0.000010001, 100000000.]]; |
| 127 | + let mut b: Array2<f32> = array![[1., 1.], [-0.000010002, 100000001.]]; |
| 128 | + assert_relative_ne!(a, b); |
| 129 | + b[(0, 1)] = 2.; |
| 130 | + assert_relative_eq!(a, b); |
| 131 | + |
| 132 | + // Check epsilon. |
| 133 | + assert_relative_eq!(array![0.0f32], array![1e-40f32], epsilon = 1e-40f32); |
| 134 | + assert_relative_ne!(array![0.0f32], array![1e-40f32], epsilon = 1e-41f32); |
| 135 | + |
| 136 | + // Make sure we can compare different shapes without failure. |
| 137 | + let c = array![[1., 2.]]; |
| 138 | + assert_relative_ne!(a, c); |
| 139 | + } |
| 140 | + |
| 141 | + #[test] |
| 142 | + fn ulps_eq() { |
| 143 | + let a: Array2<f32> = array![[1., 2.], [-0.000010001, 100000000.]]; |
| 144 | + let mut b: Array2<f32> = array![[1., 1.], [-0.000010002, 100000001.]]; |
| 145 | + assert_ulps_ne!(a, b); |
| 146 | + b[(0, 1)] = 2.; |
| 147 | + assert_ulps_eq!(a, b); |
| 148 | + |
| 149 | + // Check epsilon. |
| 150 | + assert_ulps_eq!(array![0.0f32], array![1e-40f32], epsilon = 1e-40f32); |
| 151 | + assert_ulps_ne!(array![0.0f32], array![1e-40f32], epsilon = 1e-41f32); |
| 152 | + |
| 153 | + // Make sure we can compare different shapes without failure. |
| 154 | + let c = array![[1., 2.]]; |
| 155 | + assert_ulps_ne!(a, c); |
| 156 | + } |
| 157 | +} |
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