1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
use crate::Lab;
/// Trait for calculating perceptual color distance between colors.
///
/// This trait provides methods to determine if two colors are perceptually close using the CIE Delta E distance
/// calculation in Lab color space.
pub trait ColorDistance<T>: Sized + Copy
where
Lab: From<T> + From<Self>,
{
/// Compares `self` to `other` via [delta_e][ColorDistance::delta_e], checking that the result is less than or equal
/// to `tolerance`.
///
/// `other` must implement [Into]<[Lab]>
///
/// Tolerance values:
/// - 0.0-1.0: Not perceptible by human eye
/// - 1.0-2.0: Perceptible through close observation
/// - 2.0-10.0: Perceptible at a glance
/// - 11.0-49.0: Colors are more similar than opposite
/// - 100.0: Colors are exact opposites
///
/// # Example
///
/// ```
/// use chromashift::{Srgb, ColorDistance};
///
/// let red1 = Srgb::new(255, 0, 0, 100.0);
/// let red2 = Srgb::new(254, 1, 1, 100.0);
///
/// assert!(red1.close_to(red2, 2.0));
/// ```
fn close_to(&self, other: T, tolerance: f64) -> bool {
self.delta_e(other) <= tolerance
}
/// Compares `self` to `other` via [delta_e][ColorDistance::delta_e], checking that the result is greater than or
/// equal to `tolerance`.
///
/// `other` must implement [Into]<[Lab]>
///
/// Tolerance values:
/// - 0.0-1.0: Not perceptible by human eye
/// - 1.0-2.0: Perceptible through close observation
/// - 2.0-10.0: Perceptible at a glance
/// - 11.0-49.0: Colors are more similar than opposite
/// - 100.0: Colors are exact opposites
///
/// # Example
///
/// ```
/// use chromashift::{Srgb, ColorDistance};
///
/// let red = Srgb::new(255, 0, 0, 100.0);
/// let blue = Srgb::new(0, 0, 255, 100.0);
///
/// assert!(red.far_from(blue, 10.0));
/// ```
fn far_from(&self, other: T, tolerance: f64) -> bool {
self.delta_e(other) >= tolerance
}
/// This uses the CIEDE2000 Delta E formula difference between `self` and `other`.
///
/// `other` must implement [Into]<[Lab]>
///
/// Tolerance values:
/// - 0.0-1.0: Not perceptible by human eye
/// - 1.0-2.0: Perceptible through close observation
/// - 2.0-10.0: Perceptible at a glance
/// - 11.0-49.0: Colors are more similar than opposite
/// - 100.0: Colors are exact opposites
///
/// # Example
///
/// ```
/// use chromashift::{Srgb, Named, ColorDistance};
///
/// let red = Srgb::new(255, 0, 0, 100.0);
/// let green = Srgb::new(0, 255, 0, 100.0);
///
/// assert_eq!(red.delta_e(green).round(), 84.0);
///
/// assert_eq!(Named::Black.delta_e(Named::White).round(), 100.0);
/// ```
fn delta_e(&self, other: T) -> f64 {
let lab1 = Lab::from(*self);
let lab2 = Lab::from(other);
// Extract Lab values
let (l1, a1, b1) = (lab1.lightness, lab1.a, lab1.b);
let (l2, a2, b2) = (lab2.lightness, lab2.a, lab2.b);
// Initial chroma and mean chroma
let c1 = (a1 * a1 + b1 * b1).sqrt();
let c2 = (a2 * a2 + b2 * b2).sqrt();
let c_bar = (c1 + c2) / 2.0;
// G compensation for a* non-uniformity
let c_bar_7 = c_bar.powf(7.0);
let g = 0.5 * (1.0 - (c_bar_7 / (c_bar_7 + 25.0_f64.powf(7.0))).sqrt());
// Corrected a* values and chroma
let a1_prime = (1.0 + g) * a1;
let a2_prime = (1.0 + g) * a2;
let c1_prime = (a1_prime * a1_prime + b1 * b1).sqrt();
let c2_prime = (a2_prime * a2_prime + b2 * b2).sqrt();
// Hue angles (in degrees)
let h1_prime =
if a1_prime == 0.0 && b1 == 0.0 { 0.0 } else { b1.atan2(a1_prime).to_degrees().rem_euclid(360.0) };
let h2_prime =
if a2_prime == 0.0 && b2 == 0.0 { 0.0 } else { b2.atan2(a2_prime).to_degrees().rem_euclid(360.0) };
// Differences
let delta_l = l2 - l1;
let delta_c = c2_prime - c1_prime;
let delta_h = if c1_prime * c2_prime == 0.0 {
0.0
} else {
let diff = h2_prime - h1_prime;
if diff.abs() <= 180.0 {
diff
} else if diff > 180.0 {
diff - 360.0
} else {
diff + 360.0
}
};
let delta_h_big = 2.0 * (c1_prime * c2_prime).sqrt() * (delta_h.to_radians() / 2.0).sin();
// Mean values
let l_bar = (l1 + l2) / 2.0;
let c_prime_bar = (c1_prime + c2_prime) / 2.0;
let h_prime_bar = if c1_prime * c2_prime == 0.0 {
h1_prime + h2_prime
} else {
let sum = h1_prime + h2_prime;
let diff = (h1_prime - h2_prime).abs();
if diff <= 180.0 {
sum / 2.0
} else if sum < 360.0 {
(sum + 360.0) / 2.0
} else {
(sum - 360.0) / 2.0
}
};
// Weighting functions (T factor for hue)
let t = 1.0 - 0.17 * (h_prime_bar - 30.0).to_radians().cos()
+ 0.24 * (2.0 * h_prime_bar).to_radians().cos()
+ 0.32 * (3.0 * h_prime_bar + 6.0).to_radians().cos()
- 0.20 * (4.0 * h_prime_bar - 63.0).to_radians().cos();
let l_offset = l_bar - 50.0;
let sl = 1.0 + (0.015 * l_offset * l_offset) / (20.0 + l_offset * l_offset).sqrt();
let sc = 1.0 + 0.045 * c_prime_bar;
let sh = 1.0 + 0.015 * c_prime_bar * t;
// Rotation term for blue region
let delta_theta = 30.0 * (-((h_prime_bar - 275.0) / 25.0).powf(2.0)).exp();
let c_prime_bar_7 = c_prime_bar.powf(7.0);
let rc = 2.0 * (c_prime_bar_7 / (c_prime_bar_7 + 25.0_f64.powf(7.0))).sqrt();
let rt = -rc * (2.0 * delta_theta).to_radians().sin();
// Final calculation (kL = kC = kH = 1.0, so omitted)
let l_term = delta_l / sl;
let c_term = delta_c / sc;
let h_term = delta_h_big / sh;
(l_term * l_term + c_term * c_term + h_term * h_term + rt * c_term * h_term).sqrt()
}
}
impl<C, T> ColorDistance<T> for C
where
C: Copy,
Lab: From<C> + From<T>,
{
}
#[cfg(test)]
mod tests {
use super::*;
use crate::{Hsl, Srgb};
#[test]
fn test_identical_colors() {
let red = Srgb::new(255, 0, 0, 100.0);
assert!(red.close_to(red, 0.0));
assert_eq!(red.delta_e(red), 0.0);
}
#[test]
fn test_very_similar_colors() {
let red1 = Srgb::new(255, 0, 0, 100.0);
let red2 = Srgb::new(254, 1, 1, 100.0);
assert!(red1.close_to(red2, 2.0));
assert!(red1.delta_e(red2) < 2.0);
}
#[test]
fn test_different_colors() {
let red = Srgb::new(255, 0, 0, 100.0);
let blue = Srgb::new(0, 0, 255, 100.0);
assert!(!red.close_to(blue, 10.0));
assert!(red.delta_e(blue) > 40.0);
}
#[test]
fn test_cross_color_space_comparison() {
let red_srgb = Srgb::new(255, 0, 0, 100.0);
let red_hsl = Hsl::new(0.0, 100.0, 50.0, 100.0);
// These should be very close (same red color in different spaces)
assert!(red_srgb.close_to(red_hsl, 2.0));
}
#[test]
fn test_tolerance_levels() {
let color1 = Srgb::new(100, 100, 100, 100.0);
let color2 = Srgb::new(110, 105, 95, 100.0);
let distance = color1.delta_e(color2);
// Test that tolerance works correctly
assert!(!color1.close_to(color2, distance - 0.1));
assert!(color1.close_to(color2, distance + 0.1));
}
#[test]
fn test_alpha_ignored_in_distance() {
let color1 = Srgb::new(255, 0, 0, 100.0);
let color2 = Srgb::new(255, 0, 0, 50.0);
// Alpha should not affect color distance calculation
assert!(color1.close_to(color2, 0.1));
}
}