|
1 | | -use crate::imp_prelude::*; |
2 | | -use crate::Zip; |
3 | | -use approx::{AbsDiffEq, RelativeEq, UlpsEq}; |
4 | | - |
5 | | -/// **Requires crate feature `"approx"`** |
6 | | -impl<A, B, S, S2, D> AbsDiffEq<ArrayBase<S2, D>> for ArrayBase<S, D> |
7 | | -where |
8 | | - A: AbsDiffEq<B>, |
9 | | - A::Epsilon: Clone, |
10 | | - S: Data<Elem = A>, |
11 | | - S2: Data<Elem = B>, |
12 | | - D: Dimension, |
13 | | -{ |
14 | | - type Epsilon = A::Epsilon; |
15 | | - |
16 | | - fn default_epsilon() -> A::Epsilon { |
17 | | - A::default_epsilon() |
18 | | - } |
| 1 | +#[cfg(feature = "approx")] |
| 2 | +mod approx_methods { |
| 3 | + use crate::imp_prelude::*; |
19 | 4 |
|
20 | | - fn abs_diff_eq(&self, other: &ArrayBase<S2, D>, epsilon: A::Epsilon) -> bool { |
21 | | - if self.shape() != other.shape() { |
22 | | - return false; |
| 5 | + impl<A, S, D> ArrayBase<S, D> |
| 6 | + where |
| 7 | + S: Data<Elem = A>, |
| 8 | + D: Dimension, |
| 9 | + { |
| 10 | + /// A test for equality that uses the elementwise absolute difference to compute the |
| 11 | + /// approximate equality of two arrays. |
| 12 | + /// |
| 13 | + /// **Requires crate feature `"approx"`** |
| 14 | + pub fn abs_diff_eq<S2>(&self, other: &ArrayBase<S2, D>, epsilon: A::Epsilon) -> bool |
| 15 | + where |
| 16 | + A: ::approx::AbsDiffEq<S2::Elem>, |
| 17 | + A::Epsilon: Clone, |
| 18 | + S2: Data, |
| 19 | + { |
| 20 | + <Self as ::approx::AbsDiffEq<_>>::abs_diff_eq(self, other, epsilon) |
23 | 21 | } |
24 | 22 |
|
25 | | - Zip::from(self) |
26 | | - .and(other) |
27 | | - .all(move |a, b| A::abs_diff_eq(a, b, epsilon.clone())) |
28 | | - } |
29 | | -} |
30 | | - |
31 | | -/// **Requires crate feature `"approx"`** |
32 | | -impl<A, B, S, S2, D> RelativeEq<ArrayBase<S2, D>> for ArrayBase<S, D> |
33 | | -where |
34 | | - A: RelativeEq<B>, |
35 | | - A::Epsilon: Clone, |
36 | | - S: Data<Elem = A>, |
37 | | - S2: Data<Elem = B>, |
38 | | - D: Dimension, |
39 | | -{ |
40 | | - fn default_max_relative() -> A::Epsilon { |
41 | | - A::default_max_relative() |
42 | | - } |
43 | | - |
44 | | - fn relative_eq( |
45 | | - &self, |
46 | | - other: &ArrayBase<S2, D>, |
47 | | - epsilon: A::Epsilon, |
48 | | - max_relative: A::Epsilon, |
49 | | - ) -> bool { |
50 | | - if self.shape() != other.shape() { |
51 | | - return false; |
| 23 | + /// A test for equality that uses an elementwise relative comparison if the values are far |
| 24 | + /// apart; and the absolute difference otherwise. |
| 25 | + /// |
| 26 | + /// **Requires crate feature `"approx"`** |
| 27 | + pub fn relative_eq<S2>( |
| 28 | + &self, |
| 29 | + other: &ArrayBase<S2, D>, |
| 30 | + epsilon: A::Epsilon, |
| 31 | + max_relative: A::Epsilon, |
| 32 | + ) -> bool |
| 33 | + where |
| 34 | + A: ::approx::RelativeEq<S2::Elem>, |
| 35 | + A::Epsilon: Clone, |
| 36 | + S2: Data, |
| 37 | + { |
| 38 | + <Self as ::approx::RelativeEq<_>>::relative_eq(self, other, epsilon, max_relative) |
52 | 39 | } |
53 | | - |
54 | | - Zip::from(self) |
55 | | - .and(other) |
56 | | - .all(move |a, b| A::relative_eq(a, b, epsilon.clone(), max_relative.clone())) |
57 | 40 | } |
58 | 41 | } |
59 | 42 |
|
60 | | -/// **Requires crate feature `"approx"`** |
61 | | -impl<A, B, S, S2, D> UlpsEq<ArrayBase<S2, D>> for ArrayBase<S, D> |
62 | | -where |
63 | | - A: UlpsEq<B>, |
64 | | - A::Epsilon: Clone, |
65 | | - S: Data<Elem = A>, |
66 | | - S2: Data<Elem = B>, |
67 | | - D: Dimension, |
68 | | -{ |
69 | | - fn default_max_ulps() -> u32 { |
70 | | - A::default_max_ulps() |
71 | | - } |
72 | | - |
73 | | - fn ulps_eq(&self, other: &ArrayBase<S2, D>, epsilon: A::Epsilon, max_ulps: u32) -> bool { |
74 | | - if self.shape() != other.shape() { |
75 | | - return false; |
| 43 | +macro_rules! impl_approx_traits { |
| 44 | + ($approx:ident, $doc:expr) => { |
| 45 | + mod $approx { |
| 46 | + use crate::imp_prelude::*; |
| 47 | + use crate::Zip; |
| 48 | + use $approx::{AbsDiffEq, RelativeEq, UlpsEq}; |
| 49 | + |
| 50 | + #[doc = $doc] |
| 51 | + impl<A, B, S, S2, D> AbsDiffEq<ArrayBase<S2, D>> for ArrayBase<S, D> |
| 52 | + where |
| 53 | + A: AbsDiffEq<B>, |
| 54 | + A::Epsilon: Clone, |
| 55 | + S: Data<Elem = A>, |
| 56 | + S2: Data<Elem = B>, |
| 57 | + D: Dimension, |
| 58 | + { |
| 59 | + type Epsilon = A::Epsilon; |
| 60 | + |
| 61 | + fn default_epsilon() -> A::Epsilon { |
| 62 | + A::default_epsilon() |
| 63 | + } |
| 64 | + |
| 65 | + fn abs_diff_eq(&self, other: &ArrayBase<S2, D>, epsilon: A::Epsilon) -> bool { |
| 66 | + if self.shape() != other.shape() { |
| 67 | + return false; |
| 68 | + } |
| 69 | + |
| 70 | + Zip::from(self) |
| 71 | + .and(other) |
| 72 | + .all(move |a, b| A::abs_diff_eq(a, b, epsilon.clone())) |
| 73 | + } |
| 74 | + } |
| 75 | + |
| 76 | + #[doc = $doc] |
| 77 | + impl<A, B, S, S2, D> RelativeEq<ArrayBase<S2, D>> for ArrayBase<S, D> |
| 78 | + where |
| 79 | + A: RelativeEq<B>, |
| 80 | + A::Epsilon: Clone, |
| 81 | + S: Data<Elem = A>, |
| 82 | + S2: Data<Elem = B>, |
| 83 | + D: Dimension, |
| 84 | + { |
| 85 | + fn default_max_relative() -> A::Epsilon { |
| 86 | + A::default_max_relative() |
| 87 | + } |
| 88 | + |
| 89 | + fn relative_eq( |
| 90 | + &self, |
| 91 | + other: &ArrayBase<S2, D>, |
| 92 | + epsilon: A::Epsilon, |
| 93 | + max_relative: A::Epsilon, |
| 94 | + ) -> bool { |
| 95 | + if self.shape() != other.shape() { |
| 96 | + return false; |
| 97 | + } |
| 98 | + |
| 99 | + Zip::from(self).and(other).all(move |a, b| { |
| 100 | + A::relative_eq(a, b, epsilon.clone(), max_relative.clone()) |
| 101 | + }) |
| 102 | + } |
| 103 | + } |
| 104 | + |
| 105 | + #[doc = $doc] |
| 106 | + impl<A, B, S, S2, D> UlpsEq<ArrayBase<S2, D>> for ArrayBase<S, D> |
| 107 | + where |
| 108 | + A: UlpsEq<B>, |
| 109 | + A::Epsilon: Clone, |
| 110 | + S: Data<Elem = A>, |
| 111 | + S2: Data<Elem = B>, |
| 112 | + D: Dimension, |
| 113 | + { |
| 114 | + fn default_max_ulps() -> u32 { |
| 115 | + A::default_max_ulps() |
| 116 | + } |
| 117 | + |
| 118 | + fn ulps_eq( |
| 119 | + &self, |
| 120 | + other: &ArrayBase<S2, D>, |
| 121 | + epsilon: A::Epsilon, |
| 122 | + max_ulps: u32, |
| 123 | + ) -> bool { |
| 124 | + if self.shape() != other.shape() { |
| 125 | + return false; |
| 126 | + } |
| 127 | + |
| 128 | + Zip::from(self) |
| 129 | + .and(other) |
| 130 | + .all(move |a, b| A::ulps_eq(a, b, epsilon.clone(), max_ulps)) |
| 131 | + } |
| 132 | + } |
| 133 | + |
| 134 | + #[cfg(test)] |
| 135 | + mod tests { |
| 136 | + use crate::prelude::*; |
| 137 | + use alloc::vec; |
| 138 | + use $approx::{ |
| 139 | + assert_abs_diff_eq, assert_abs_diff_ne, assert_relative_eq, assert_relative_ne, |
| 140 | + assert_ulps_eq, assert_ulps_ne, |
| 141 | + }; |
| 142 | + |
| 143 | + #[test] |
| 144 | + fn abs_diff_eq() { |
| 145 | + let a: Array2<f32> = array![[0., 2.], [-0.000010001, 100000000.]]; |
| 146 | + let mut b: Array2<f32> = array![[0., 1.], [-0.000010002, 100000001.]]; |
| 147 | + assert_abs_diff_ne!(a, b); |
| 148 | + b[(0, 1)] = 2.; |
| 149 | + assert_abs_diff_eq!(a, b); |
| 150 | + |
| 151 | + // Check epsilon. |
| 152 | + assert_abs_diff_eq!(array![0.0f32], array![1e-40f32], epsilon = 1e-40f32); |
| 153 | + assert_abs_diff_ne!(array![0.0f32], array![1e-40f32], epsilon = 1e-41f32); |
| 154 | + |
| 155 | + // Make sure we can compare different shapes without failure. |
| 156 | + let c = array![[1., 2.]]; |
| 157 | + assert_abs_diff_ne!(a, c); |
| 158 | + } |
| 159 | + |
| 160 | + #[test] |
| 161 | + fn relative_eq() { |
| 162 | + let a: Array2<f32> = array![[1., 2.], [-0.000010001, 100000000.]]; |
| 163 | + let mut b: Array2<f32> = array![[1., 1.], [-0.000010002, 100000001.]]; |
| 164 | + assert_relative_ne!(a, b); |
| 165 | + b[(0, 1)] = 2.; |
| 166 | + assert_relative_eq!(a, b); |
| 167 | + |
| 168 | + // Check epsilon. |
| 169 | + assert_relative_eq!(array![0.0f32], array![1e-40f32], epsilon = 1e-40f32); |
| 170 | + assert_relative_ne!(array![0.0f32], array![1e-40f32], epsilon = 1e-41f32); |
| 171 | + |
| 172 | + // Make sure we can compare different shapes without failure. |
| 173 | + let c = array![[1., 2.]]; |
| 174 | + assert_relative_ne!(a, c); |
| 175 | + } |
| 176 | + |
| 177 | + #[test] |
| 178 | + fn ulps_eq() { |
| 179 | + let a: Array2<f32> = array![[1., 2.], [-0.000010001, 100000000.]]; |
| 180 | + let mut b: Array2<f32> = array![[1., 1.], [-0.000010002, 100000001.]]; |
| 181 | + assert_ulps_ne!(a, b); |
| 182 | + b[(0, 1)] = 2.; |
| 183 | + assert_ulps_eq!(a, b); |
| 184 | + |
| 185 | + // Check epsilon. |
| 186 | + assert_ulps_eq!(array![0.0f32], array![1e-40f32], epsilon = 1e-40f32); |
| 187 | + assert_ulps_ne!(array![0.0f32], array![1e-40f32], epsilon = 1e-41f32); |
| 188 | + |
| 189 | + // Make sure we can compare different shapes without failure. |
| 190 | + let c = array![[1., 2.]]; |
| 191 | + assert_ulps_ne!(a, c); |
| 192 | + } |
| 193 | + } |
76 | 194 | } |
77 | | - |
78 | | - Zip::from(self) |
79 | | - .and(other) |
80 | | - .all(move |a, b| A::ulps_eq(a, b, epsilon.clone(), max_ulps)) |
81 | | - } |
82 | | -} |
83 | | - |
84 | | -impl<A, S, D> ArrayBase<S, D> |
85 | | -where |
86 | | - S: Data<Elem = A>, |
87 | | - D: Dimension, |
88 | | -{ |
89 | | - /// A test for equality that uses the elementwise absolute difference to compute the |
90 | | - /// approximate equality of two arrays. |
91 | | - /// |
92 | | - /// **Requires crate feature `"approx"`** |
93 | | - pub fn abs_diff_eq<S2>(&self, other: &ArrayBase<S2, D>, epsilon: A::Epsilon) -> bool |
94 | | - where |
95 | | - A: AbsDiffEq<S2::Elem>, |
96 | | - A::Epsilon: Clone, |
97 | | - S2: Data, |
98 | | - { |
99 | | - <Self as AbsDiffEq<_>>::abs_diff_eq(self, other, epsilon) |
100 | | - } |
101 | | - |
102 | | - /// A test for equality that uses an elementwise relative comparison if the values are far |
103 | | - /// apart; and the absolute difference otherwise. |
104 | | - /// |
105 | | - /// **Requires crate feature `"approx"`** |
106 | | - pub fn relative_eq<S2>( |
107 | | - &self, |
108 | | - other: &ArrayBase<S2, D>, |
109 | | - epsilon: A::Epsilon, |
110 | | - max_relative: A::Epsilon, |
111 | | - ) -> bool |
112 | | - where |
113 | | - A: RelativeEq<S2::Elem>, |
114 | | - A::Epsilon: Clone, |
115 | | - S2: Data |
116 | | - { |
117 | | - <Self as RelativeEq<_>>::relative_eq(self, other, epsilon, max_relative) |
118 | | - } |
119 | | -} |
120 | | - |
121 | | - |
122 | | -#[cfg(test)] |
123 | | -mod tests { |
124 | | - use crate::prelude::*; |
125 | | - use alloc::vec; |
126 | | - use approx::{ |
127 | | - assert_abs_diff_eq, assert_abs_diff_ne, assert_relative_eq, assert_relative_ne, |
128 | | - assert_ulps_eq, assert_ulps_ne, |
129 | 195 | }; |
| 196 | +} |
130 | 197 |
|
131 | | - #[test] |
132 | | - fn abs_diff_eq() { |
133 | | - let a: Array2<f32> = array![[0., 2.], [-0.000010001, 100000000.]]; |
134 | | - let mut b: Array2<f32> = array![[0., 1.], [-0.000010002, 100000001.]]; |
135 | | - assert_abs_diff_ne!(a, b); |
136 | | - b[(0, 1)] = 2.; |
137 | | - assert_abs_diff_eq!(a, b); |
138 | | - |
139 | | - // Check epsilon. |
140 | | - assert_abs_diff_eq!(array![0.0f32], array![1e-40f32], epsilon = 1e-40f32); |
141 | | - assert_abs_diff_ne!(array![0.0f32], array![1e-40f32], epsilon = 1e-41f32); |
142 | | - |
143 | | - // Make sure we can compare different shapes without failure. |
144 | | - let c = array![[1., 2.]]; |
145 | | - assert_abs_diff_ne!(a, c); |
146 | | - } |
| 198 | +#[cfg(feature = "approx")] |
| 199 | +impl_approx_traits!(approx, "**Requires crate feature `\"approx\"`.**"); |
147 | 200 |
|
148 | | - #[test] |
149 | | - fn relative_eq() { |
150 | | - let a: Array2<f32> = array![[1., 2.], [-0.000010001, 100000000.]]; |
151 | | - let mut b: Array2<f32> = array![[1., 1.], [-0.000010002, 100000001.]]; |
152 | | - assert_relative_ne!(a, b); |
153 | | - b[(0, 1)] = 2.; |
154 | | - assert_relative_eq!(a, b); |
155 | | - |
156 | | - // Check epsilon. |
157 | | - assert_relative_eq!(array![0.0f32], array![1e-40f32], epsilon = 1e-40f32); |
158 | | - assert_relative_ne!(array![0.0f32], array![1e-40f32], epsilon = 1e-41f32); |
159 | | - |
160 | | - // Make sure we can compare different shapes without failure. |
161 | | - let c = array![[1., 2.]]; |
162 | | - assert_relative_ne!(a, c); |
163 | | - } |
164 | | - |
165 | | - #[test] |
166 | | - fn ulps_eq() { |
167 | | - let a: Array2<f32> = array![[1., 2.], [-0.000010001, 100000000.]]; |
168 | | - let mut b: Array2<f32> = array![[1., 1.], [-0.000010002, 100000001.]]; |
169 | | - assert_ulps_ne!(a, b); |
170 | | - b[(0, 1)] = 2.; |
171 | | - assert_ulps_eq!(a, b); |
172 | | - |
173 | | - // Check epsilon. |
174 | | - assert_ulps_eq!(array![0.0f32], array![1e-40f32], epsilon = 1e-40f32); |
175 | | - assert_ulps_ne!(array![0.0f32], array![1e-40f32], epsilon = 1e-41f32); |
176 | | - |
177 | | - // Make sure we can compare different shapes without failure. |
178 | | - let c = array![[1., 2.]]; |
179 | | - assert_ulps_ne!(a, c); |
180 | | - } |
181 | | -} |
| 201 | +#[cfg(feature = "approx-0p5")] |
| 202 | +impl_approx_traits!(approx_0p5, "**Requires crate feature `\"approx-0p5\"`.**"); |
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