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* bug#70963: [PATCH] Add Oklab color space utility functions in color.el.
@ 2024-05-15 16:58 Robert Church
  2024-05-15 18:00 ` Andrea Corallo
                   ` (2 more replies)
  0 siblings, 3 replies; 7+ messages in thread
From: Robert Church @ 2024-05-15 16:58 UTC (permalink / raw)
  To: 70963


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This patch adds functions to convert to and from the Oklab perceptual color
space to color.el. Oklab preserves the perceived brightness ot a color as
the hue and saturation change. It is especially useful for programmatically
generating color schemes, and can be used directly in CSS in current web
browsers.

Oklab is described here: https://bottosson.github.io/posts/oklab/

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From 8a4c94047ba26c04e2692271e1475c70244fc6d0 Mon Sep 17 00:00:00 2001
From: Robert Church <chrchr@gmail.com>
Date: Mon, 13 May 2024 17:28:28 -0700
Subject: [PATCH] Add Oklab color space utility functions in color.el.

---
 lisp/color.el            | 41 +++++++++++++++++++++++++++++++++++++++-
 test/lisp/color-tests.el | 33 ++++++++++++++++++++++++++++++++
 2 files changed, 73 insertions(+), 1 deletion(-)

diff --git a/lisp/color.el b/lisp/color.el
index 078c12fbf47..5ba73f4a879 100644
--- a/lisp/color.el
+++ b/lisp/color.el
@@ -29,7 +29,8 @@
 ;;
 ;; Supported color representations include RGB (red, green, blue), HSV
 ;; (hue, saturation, value), HSL (hue, saturation, luminance), sRGB,
-;; CIE XYZ, and CIE L*a*b* color components.
+;; CIE XYZ, CIE L*a*b* color components, and the Oklab perceptual color
+;; space.
 
 ;;; Code:
 
@@ -368,6 +369,44 @@ color-cie-de2000
                  (expt (/ ΔH′ (* Sh kH)) 2.0)
                  (* Rt (/ ΔC′ (* Sc kC)) (/ ΔH′ (* Sh kH)))))))
 
+(defun color-oklab-to-xyz (l a b)
+  "Convert the OkLab color represented by L A B to CIE XYZ.
+Oklab is a perceptual color space created by Björn Ottosson
+<https://bottosson.github.io/posts/oklab/>. It has the property that
+changes in the hue and saturation of a color can be made while maintaining
+the same perceived lightness."
+  (let ((ll (expt (+ (* 1.0 l) (* 0.39633779 a) (* 0.21580376 b)) 3))
+        (mm (expt (+ (* 1.00000001 l) (* -0.10556134 a) (* -0.06385417 b)) 3))
+        (ss (expt (+ (* 1.00000005 l) (* -0.08948418 a) (* -1.29148554 b)) 3)))
+    (list (+ (* ll 1.22701385) (* mm -0.55779998) (* ss 0.28125615))
+          (+ (* ll -0.04058018) (* mm 1.11225687) (* ss -0.07167668))
+          (+ (* ll -0.07638128) (* mm -0.42148198) (* ss 1.58616322)))))
+
+(defun color-xyz-to-oklab (x y z)
+  "Convert the CIE XYZ color represented by X Y Z to Oklab."
+  (let ((ll (+ (* x 0.8189330101) (* y 0.3618667424) (* z -0.1288597137)))
+        (mm (+ (* x 0.0329845436) (* y 0.9293118715) (* z 0.0361456387)))
+        (ss (+ (* x 0.0482003018) (* y 0.2643662691) (* z 0.6338517070))))
+    (let*
+        ((cube-root (lambda (f)
+                      (if (< f 0)
+	                  (- (expt (- f) (/ 1.0 3.0)))
+                        (expt f (/ 1.0 3.0)))))
+         (lll (funcall cube-root ll))
+         (mmm (funcall cube-root mm))
+         (sss (funcall cube-root ss)))
+      (list (+ (* lll 0.2104542553) (* mmm 0.7936177850) (* sss -0.0040720468))
+            (+ (* lll 1.9779984951) (* mmm -2.4285922050) (* sss 0.4505937099))
+            (+ (* lll 0.0259040371) (* mmm 0.7827717662) (* sss -0.8086757660))))))
+
+(defun color-oklab-to-srgb (l a b)
+  "Convert the Oklab color represented by L A B to sRGB."
+  (apply #'color-xyz-to-srgb (color-oklab-to-xyz l a b)))
+
+(defun color-srgb-to-oklab (r g b)
+  "Convert the sRGB color R G B to Oklab."
+  (apply #'color-xyz-to-oklab (color-srgb-to-xyz r g b)))
+
 (defun color-clamp (value)
   "Make sure VALUE is a number between 0.0 and 1.0 inclusive."
   (min 1.0 (max 0.0 value)))
diff --git a/test/lisp/color-tests.el b/test/lisp/color-tests.el
index 9b6b8c1f8dc..0f53e4332a4 100644
--- a/test/lisp/color-tests.el
+++ b/test/lisp/color-tests.el
@@ -247,5 +247,38 @@ color-tests-darken-name
   (should (equal (color-darken-name "red" 0) "#ffff00000000"))
   (should (equal (color-darken-name "red" 10) "#e66500000000")))
 
+(ert-deftest color-tests-oklab-to-xyz ()
+  (should (color-tests--approx-equal (color-oklab-to-xyz 0 0 0) '(0.0 0.0 0.0)))
+  (should (color-tests--approx-equal (color-oklab-to-xyz 1.0 0.0 0.0)
+                                     '(0.95047005 1.0 1.0883001)))
+  (should (color-tests--approx-equal (color-oklab-to-xyz 0.450 1.236 -0.019) '(1.000604 -0.000008 -0.000038)))
+  (should (color-tests--approx-equal (color-oklab-to-xyz 0.922 -0.671 0.263) '(0.000305 1.000504 0.000898)))
+  (should (color-tests--approx-equal (color-oklab-to-xyz 0.153 -1.415 -0.449) '(0.000590 0.000057 1.001650))))
+
+(ert-deftest color-tests-xyz-to-oklab ()
+  (should (color-tests--approx-equal (color-xyz-to-oklab 0 0 0) '(0.0 0.0 0.0)))
+  (should (color-tests--approx-equal (color-xyz-to-oklab 0.95 1.0 1.089)
+                                     '(0.999969 -0.000258 -0.000115)))
+  (should (color-tests--approx-equal (color-xyz-to-oklab 1.0 0.0 0.0)
+                                     '(0.449932 1.235710 -0.019028)))
+  (should (color-tests--approx-equal (color-xyz-to-oklab 0.0 1.0 0.0)
+                                     '(0.921817 -0.671238 0.263324)))
+  (should (color-tests--approx-equal (color-xyz-to-oklab 0.0 0.0 1.0)
+                                     '(0.152603 -1.414997 -0.448927))))
+
+(ert-deftest color-tests-srgb-to-oklab ()
+  (should (equal (color-srgb-to-oklab 0 0 0) '(0.0 0.0 0.0)))
+  (should
+   (color-tests--approx-equal (color-srgb-to-oklab 0 0 1) '(0.451978 -0.032430 -0.311611)))
+  (should
+   (color-tests--approx-equal (color-srgb-to-oklab 0.1 0.2 0.3) '(0.313828 -0.019091 -0.052561))))
+
+(ert-deftest color-tests-oklab-to-srgb ()
+  (should (equal (color-oklab-to-srgb 0 0 0) '(0.0 0.0 0.0)))
+  (should
+   (color-tests--approx-equal (color-oklab-to-srgb 0.451978 -0.032430 -0.311611) '(0.0 0.0 1.0)))
+  (should
+   (color-tests--approx-equal (color-oklab-to-srgb 0.313828 -0.019091 -0.052561) '(0.1 0.2 0.3))))
+
 (provide 'color-tests)
 ;;; color-tests.el ends here
-- 
2.39.2


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Thread overview: 7+ messages (download: mbox.gz follow: Atom feed
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2024-05-15 16:58 bug#70963: [PATCH] Add Oklab color space utility functions in color.el Robert Church
2024-05-15 18:00 ` Andrea Corallo
2024-05-15 18:41   ` Robert Church
2024-05-18 22:16     ` Stefan Kangas
2024-05-19  8:25       ` Eli Zaretskii
2024-05-15 18:00 ` Eli Zaretskii
2024-05-19  8:25 ` Eli Zaretskii

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