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package ciede2000
import (
"image/color"
"math"
)
type LAB struct {
L float64
A float64
B float64
}
func ToXYZ(c color.Color) (float64, float64, float64) {
ta, tg, tb, _ := c.RGBA()
r := float64(ta) / 65535.0
g := float64(tg) / 65535.0
b := float64(tb) / 65535.0
if r > 0.04045 {
r = math.Pow(((r + 0.055) / 1.055), 2.4)
} else {
r = r / 12.92
}
if g > 0.04045 {
g = math.Pow(((g + 0.055) / 1.055), 2.4)
} else {
g = g / 12.92
}
if b > 0.04045 {
b = math.Pow(((b + 0.055) / 1.055), 2.4)
} else {
b = b / 12.92
}
r *= 100
g *= 100
b *= 100
return r*0.4124 + g*0.3576 + b*0.1805, r*0.2126 + g*0.7152 + b*0.0722, r*0.0193 + g*0.1192 + b*0.9505
}
func ToLAB(c color.Color) *LAB {
x, y, z := ToXYZ(c)
x /= 95.047
y /= 100.000
z /= 108.883
if x > 0.008856 {
x = math.Pow(x, (1.0 / 3.0))
} else {
x = (7.787 * x) + (16 / 116)
}
if y > 0.008856 {
y = math.Pow(y, (1.0 / 3.0))
} else {
y = (7.787 * y) + (16 / 116)
}
if z > 0.008856 {
z = math.Pow(z, (1.0 / 3.0))
} else {
z = (7.787 * z) + (16 / 116)
}
l := (116 * y) - 16
a := 500 * (x - y)
b := 200 * (y - z)
if l < 0.0 {
l = 0.0
}
return &LAB{l, a, b}
}
func deg2Rad(deg float64) float64 {
return deg * (math.Pi / 180.0)
}
func rad2Deg(rad float64) float64 {
return (180.0 / math.Pi) * rad
}
func CIEDE2000(lab1, lab2 *LAB) float64 {
/*
* "For these and all other numerical/graphical delta E00 values
* reported in this article, we set the parametric weighting factors
* to unity(i.e., k_L = k_C = k_H = 1.0)." (Page 27).
*/
k_L, k_C, k_H := 1.0, 1.0, 1.0
deg360InRad := deg2Rad(360.0)
deg180InRad := deg2Rad(180.0)
pow25To7 := 6103515625.0 /* pow(25, 7) */
/*
* Step 1
*/
/* Equation 2 */
C1 := math.Sqrt((lab1.A * lab1.A) + (lab1.B * lab1.B))
C2 := math.Sqrt((lab2.A * lab2.A) + (lab2.B * lab2.B))
/* Equation 3 */
barC := (C1 + C2) / 2.0
/* Equation 4 */
G := 0.5 * (1 - math.Sqrt(math.Pow(barC, 7)/(math.Pow(barC, 7)+pow25To7)))
/* Equation 5 */
a1Prime := (1.0 + G) * lab1.A
a2Prime := (1.0 + G) * lab2.A
/* Equation 6 */
CPrime1 := math.Sqrt((a1Prime * a1Prime) + (lab1.B * lab1.B))
CPrime2 := math.Sqrt((a2Prime * a2Prime) + (lab2.B * lab2.B))
/* Equation 7 */
var hPrime1 float64
if lab1.B == 0 && a1Prime == 0 {
hPrime1 = 0.0
} else {
hPrime1 = math.Atan2(lab1.B, a1Prime)
/*
* This must be converted to a hue angle in degrees between 0
* and 360 by addition of 2 to negative hue angles.
*/
if hPrime1 < 0 {
hPrime1 += deg360InRad
}
}
var hPrime2 float64
if lab2.B == 0 && a2Prime == 0 {
hPrime2 = 0.0
} else {
hPrime2 = math.Atan2(lab2.B, a2Prime)
/*
* This must be converted to a hue angle in degrees between 0
* and 360 by addition of 2 to negative hue angles.
*/
if hPrime2 < 0 {
hPrime2 += deg360InRad
}
}
/*
* Step 2
*/
/* Equation 8 */
deltaLPrime := lab2.L - lab1.L
/* Equation 9 */
deltaCPrime := CPrime2 - CPrime1
/* Equation 10 */
var deltahPrime float64
CPrimeProduct := CPrime1 * CPrime2
if CPrimeProduct == 0 {
deltahPrime = 0
} else {
/* Avoid the fabs() call */
deltahPrime = hPrime2 - hPrime1
if deltahPrime < -deg180InRad {
deltahPrime += deg360InRad
} else if deltahPrime > deg180InRad {
deltahPrime -= deg360InRad
}
}
/* Equation 11 */
deltaHPrime := 2.0 * math.Sqrt(CPrimeProduct) * math.Sin(deltahPrime/2.0)
/*
* Step 3
*/
/* Equation 12 */
barLPrime := (lab1.L + lab2.L) / 2.0
/* Equation 13 */
barCPrime := (CPrime1 + CPrime2) / 2.0
/* Equation 14 */
var barhPrime float64
hPrimeSum := hPrime1 + hPrime2
if CPrime1*CPrime2 == 0 {
barhPrime = hPrimeSum
} else {
if math.Abs(hPrime1-hPrime2) <= deg180InRad {
barhPrime = hPrimeSum / 2.0
} else {
if hPrimeSum < deg360InRad {
barhPrime = (hPrimeSum + deg360InRad) / 2.0
} else {
barhPrime = (hPrimeSum - deg360InRad) / 2.0
}
}
}
/* Equation 15 */
T := 1.0 - (0.17 * math.Cos(barhPrime-deg2Rad(30.0))) +
(0.24 * math.Cos(2.0*barhPrime)) +
(0.32 * math.Cos((3.0*barhPrime)+deg2Rad(6.0))) -
(0.20 * math.Cos((4.0*barhPrime)-deg2Rad(63.0)))
/* Equation 16 */
deltaTheta := deg2Rad(30.0) * math.Exp(-math.Pow((barhPrime-deg2Rad(275.0))/deg2Rad(25.0), 2.0))
/* Equation 17 */
R_C := 2.0 * math.Sqrt(math.Pow(barCPrime, 7.0)/(math.Pow(barCPrime, 7.0)+pow25To7))
/* Equation 18 */
S_L := 1 + ((0.015 * math.Pow(barLPrime-50.0, 2.0)) /
math.Sqrt(20+math.Pow(barLPrime-50.0, 2.0)))
/* Equation 19 */
S_C := 1 + (0.045 * barCPrime)
/* Equation 20 */
S_H := 1 + (0.015 * barCPrime * T)
/* Equation 21 */
R_T := (-math.Sin(2.0 * deltaTheta)) * R_C
/* Equation 22 */
return math.Sqrt(
math.Pow(deltaLPrime/(k_L*S_L), 2.0) +
math.Pow(deltaCPrime/(k_C*S_C), 2.0) +
math.Pow(deltaHPrime/(k_H*S_H), 2.0) +
(R_T * (deltaCPrime / (k_C * S_C)) * (deltaHPrime / (k_H * S_H))))
}
func Diff(c1, c2 color.Color) float64 {
return CIEDE2000(ToLAB(c1), ToLAB(c2))
}
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