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405 lines
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EmacsLisp
405 lines
15 KiB
EmacsLisp
;;; color.el --- Color manipulation library -*- lexical-binding:t -*-
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;; Copyright (C) 2010-2016 Free Software Foundation, Inc.
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;; Authors: Julien Danjou <julien@danjou.info>
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;; Drew Adams <drew.adams@oracle.com>
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;; Keywords: lisp, faces, color, hex, rgb, hsv, hsl, cie-lab, background
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;; This file is part of GNU Emacs.
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;; GNU Emacs is free software: you can redistribute it and/or modify
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;; it under the terms of the GNU General Public License as published by
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;; the Free Software Foundation, either version 3 of the License, or
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;; (at your option) any later version.
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;; GNU Emacs is distributed in the hope that it will be useful,
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;; but WITHOUT ANY WARRANTY; without even the implied warranty of
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;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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;; GNU General Public License for more details.
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;; You should have received a copy of the GNU General Public License
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;; along with GNU Emacs. If not, see <http://www.gnu.org/licenses/>.
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;;; Commentary:
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;; This package provides functions for manipulating colors, including
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;; converting between color representations, computing color
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;; complements, and computing CIEDE2000 color distances.
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;;
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;; Supported color representations include RGB (red, green, blue), HSV
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;; (hue, saturation, value), HSL (hue, saturation, luminance), sRGB,
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;; CIE XYZ, and CIE L*a*b* color components.
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;;; Code:
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;; Emacs < 23.3
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(eval-and-compile
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(unless (boundp 'float-pi)
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(defconst float-pi (* 4 (atan 1)) "The value of Pi (3.1415926...).")))
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;;;###autoload
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(defun color-name-to-rgb (color &optional frame)
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"Convert COLOR string to a list of normalized RGB components.
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COLOR should be a color name (e.g. \"white\") or an RGB triplet
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string (e.g. \"#ff12ec\").
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Normally the return value is a list of three floating-point
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numbers, (RED GREEN BLUE), each between 0.0 and 1.0 inclusive.
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Optional argument FRAME specifies the frame where the color is to be
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displayed. If FRAME is omitted or nil, use the selected frame.
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If FRAME cannot display COLOR, return nil."
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;; `colors-values' maximum value is either 65535 or 65280 depending on the
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;; display system. So we use a white conversion to get the max value.
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(let ((valmax (float (car (color-values "#ffffff")))))
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(mapcar (lambda (x) (/ x valmax)) (color-values color frame))))
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(defun color-rgb-to-hex (red green blue)
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"Return hexadecimal notation for the color RED GREEN BLUE.
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RED, GREEN, and BLUE should be numbers between 0.0 and 1.0, inclusive."
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(format "#%02x%02x%02x"
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(* red 255) (* green 255) (* blue 255)))
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(defun color-complement (color-name)
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"Return the color that is the complement of COLOR-NAME.
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COLOR-NAME should be a string naming a color (e.g. \"white\"), or
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a string specifying a color's RGB components (e.g. \"#ff12ec\")."
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(let ((color (color-name-to-rgb color-name)))
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(list (- 1.0 (nth 0 color))
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(- 1.0 (nth 1 color))
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(- 1.0 (nth 2 color)))))
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(defun color-gradient (start stop step-number)
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"Return a list with STEP-NUMBER colors from START to STOP.
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The color list builds a color gradient starting at color START to
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color STOP. It does not include the START and STOP color in the
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resulting list."
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(let* ((r (nth 0 start))
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(g (nth 1 start))
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(b (nth 2 start))
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(r-step (/ (- (nth 0 stop) r) (1+ step-number)))
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(g-step (/ (- (nth 1 stop) g) (1+ step-number)))
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(b-step (/ (- (nth 2 stop) b) (1+ step-number)))
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result)
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(dotimes (_ step-number)
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(push (list (setq r (+ r r-step))
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(setq g (+ g g-step))
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(setq b (+ b b-step)))
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result))
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(nreverse result)))
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(defun color-hue-to-rgb (v1 v2 h)
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"Compute hue from V1 and V2 H.
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Used internally by `color-hsl-to-rgb'."
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(cond
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((< h (/ 6.0)) (+ v1 (* (- v2 v1) h 6.0)))
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((< h 0.5) v2)
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((< h (/ 2.0 3)) (+ v1 (* (- v2 v1) (- (/ 2.0 3) h) 6.0)))
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(t v1)))
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(defun color-hsl-to-rgb (H S L)
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"Convert hue, saturation and luminance to their RGB representation.
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H, S, and L should each be numbers between 0.0 and 1.0, inclusive.
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Return a list (RED GREEN BLUE), where each element is between 0.0 and 1.0,
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inclusive."
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(if (= S 0.0)
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(list L L L)
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(let* ((m2 (if (<= L 0.5)
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(* L (+ 1.0 S))
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(- (+ L S) (* L S))))
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(m1 (- (* 2.0 L) m2)))
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(list
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(color-hue-to-rgb m1 m2 (mod (+ H (/ 3.0)) 1))
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(color-hue-to-rgb m1 m2 H)
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(color-hue-to-rgb m1 m2 (mod (- H (/ 3.0)) 1))))))
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(defun color-complement-hex (color)
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"Return the color that is the complement of COLOR, in hexadecimal format."
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(apply 'color-rgb-to-hex (color-complement color)))
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(defun color-rgb-to-hsv (red green blue)
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"Convert RGB color components to HSV.
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RED, GREEN, and BLUE should each be numbers between 0.0 and 1.0,
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inclusive. Return a list (HUE SATURATION VALUE), where HUE is
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in radians and both SATURATION and VALUE are between 0.0 and 1.0,
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inclusive."
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(let* ((r (float red))
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(g (float green))
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(b (float blue))
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(max (max r g b))
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(min (min r g b)))
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(if (< (- max min) 1e-8)
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(list 0.0 0.0 min)
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(list
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(/ (* 2 float-pi
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(cond ((and (= r g) (= g b)) 0)
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((and (= r max)
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(>= g b))
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(* 60 (/ (- g b) (- max min))))
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((and (= r max)
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(< g b))
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(+ 360 (* 60 (/ (- g b) (- max min)))))
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((= max g)
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(+ 120 (* 60 (/ (- b r) (- max min)))))
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((= max b)
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(+ 240 (* 60 (/ (- r g) (- max min)))))))
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360)
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(if (= max 0) 0 (- 1 (/ min max)))
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max))))
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(defun color-rgb-to-hsl (red green blue)
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"Convert RGB colors to their HSL representation.
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RED, GREEN, and BLUE should each be numbers between 0.0 and 1.0,
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inclusive. Return a list (HUE SATURATION LUMINANCE), where
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each element is between 0.0 and 1.0, inclusive."
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(let* ((r red)
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(g green)
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(b blue)
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(max (max r g b))
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(min (min r g b))
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(delta (- max min))
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(l (/ (+ max min) 2.0)))
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(if (= delta 0)
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(list 0.0 0.0 l)
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(let* ((s (if (<= l 0.5) (/ delta (+ max min))
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(/ delta (- 2.0 max min))))
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(rc (/ (- max r) delta))
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(gc (/ (- max g) delta))
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(bc (/ (- max b) delta))
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(h (mod
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(/
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(cond
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((= r max) (- bc gc))
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((= g max) (+ 2.0 rc (- bc)))
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(t (+ 4.0 gc (- rc))))
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6.0) 1.0)))
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(list h s l)))))
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(defun color-srgb-to-xyz (red green blue)
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"Convert RED GREEN BLUE colors from the sRGB color space to CIE XYZ.
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RED, GREEN and BLUE should be between 0.0 and 1.0, inclusive."
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(let ((r (if (<= red 0.04045)
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(/ red 12.95)
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(expt (/ (+ red 0.055) 1.055) 2.4)))
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(g (if (<= green 0.04045)
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(/ green 12.95)
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(expt (/ (+ green 0.055) 1.055) 2.4)))
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(b (if (<= blue 0.04045)
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(/ blue 12.95)
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(expt (/ (+ blue 0.055) 1.055) 2.4))))
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(list (+ (* 0.4124564 r) (* 0.3575761 g) (* 0.1804375 b))
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(+ (* 0.21266729 r) (* 0.7151522 g) (* 0.0721750 b))
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(+ (* 0.0193339 r) (* 0.1191920 g) (* 0.9503041 b)))))
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(defun color-xyz-to-srgb (X Y Z)
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"Convert CIE X Y Z colors to sRGB color space."
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(let ((r (+ (* 3.2404542 X) (* -1.5371385 Y) (* -0.4985314 Z)))
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(g (+ (* -0.9692660 X) (* 1.8760108 Y) (* 0.0415560 Z)))
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(b (+ (* 0.0556434 X) (* -0.2040259 Y) (* 1.0572252 Z))))
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(list (if (<= r 0.0031308)
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(* 12.92 r)
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(- (* 1.055 (expt r (/ 2.4))) 0.055))
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(if (<= g 0.0031308)
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(* 12.92 g)
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(- (* 1.055 (expt g (/ 2.4))) 0.055))
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(if (<= b 0.0031308)
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(* 12.92 b)
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(- (* 1.055 (expt b (/ 2.4))) 0.055)))))
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(defconst color-d65-xyz '(0.950455 1.0 1.088753)
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"D65 white point in CIE XYZ.")
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(defconst color-cie-ε (/ 216 24389.0))
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(defconst color-cie-κ (/ 24389 27.0))
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(defun color-xyz-to-lab (X Y Z &optional white-point)
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"Convert CIE XYZ to CIE L*a*b*.
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WHITE-POINT specifies the (X Y Z) white point for the
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conversion. If omitted or nil, use `color-d65-xyz'."
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(pcase-let* ((`(,Xr ,Yr ,Zr) (or white-point color-d65-xyz))
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(xr (/ X Xr))
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(yr (/ Y Yr))
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(zr (/ Z Zr))
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(fx (if (> xr color-cie-ε)
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(expt xr (/ 3.0))
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(/ (+ (* color-cie-κ xr) 16) 116.0)))
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(fy (if (> yr color-cie-ε)
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(expt yr (/ 3.0))
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(/ (+ (* color-cie-κ yr) 16) 116.0)))
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(fz (if (> zr color-cie-ε)
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(expt zr (/ 3.0))
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(/ (+ (* color-cie-κ zr) 16) 116.0))))
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(list
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(- (* 116 fy) 16) ; L
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(* 500 (- fx fy)) ; a
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(* 200 (- fy fz))))) ; b
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(defun color-lab-to-xyz (L a b &optional white-point)
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"Convert CIE L*a*b* to CIE XYZ.
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WHITE-POINT specifies the (X Y Z) white point for the
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conversion. If omitted or nil, use `color-d65-xyz'."
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(pcase-let* ((`(,Xr ,Yr ,Zr) (or white-point color-d65-xyz))
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(fy (/ (+ L 16) 116.0))
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(fz (- fy (/ b 200.0)))
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(fx (+ (/ a 500.0) fy))
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(xr (if (> (expt fx 3.0) color-cie-ε)
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(expt fx 3.0)
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(/ (- (* fx 116) 16) color-cie-κ)))
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(yr (if (> L (* color-cie-κ color-cie-ε))
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(expt (/ (+ L 16) 116.0) 3.0)
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(/ L color-cie-κ)))
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(zr (if (> (expt fz 3) color-cie-ε)
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(expt fz 3.0)
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(/ (- (* 116 fz) 16) color-cie-κ))))
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(list (* xr Xr) ; X
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(* yr Yr) ; Y
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(* zr Zr)))) ; Z
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(defun color-srgb-to-lab (red green blue)
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"Convert RGB to CIE L*a*b*."
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(apply 'color-xyz-to-lab (color-srgb-to-xyz red green blue)))
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(defun color-lab-to-srgb (L a b)
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"Convert CIE L*a*b* to RGB."
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(apply 'color-xyz-to-srgb (color-lab-to-xyz L a b)))
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(defun color-cie-de2000 (color1 color2 &optional kL kC kH)
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"Return the CIEDE2000 color distance between COLOR1 and COLOR2.
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Both COLOR1 and COLOR2 should be in CIE L*a*b* format, as
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returned by `color-srgb-to-lab' or `color-xyz-to-lab'."
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(pcase-let*
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((`(,L₁ ,a₁ ,b₁) color1)
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(`(,L₂ ,a₂ ,b₂) color2)
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(kL (or kL 1))
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(kC (or kC 1))
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(kH (or kH 1))
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(C₁ (sqrt (+ (expt a₁ 2.0) (expt b₁ 2.0))))
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(C₂ (sqrt (+ (expt a₂ 2.0) (expt b₂ 2.0))))
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(C̄ (/ (+ C₁ C₂) 2.0))
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(G (* 0.5 (- 1 (sqrt (/ (expt C̄ 7.0)
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(+ (expt C̄ 7.0) (expt 25 7.0)))))))
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(a′₁ (* (+ 1 G) a₁))
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(a′₂ (* (+ 1 G) a₂))
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(C′₁ (sqrt (+ (expt a′₁ 2.0) (expt b₁ 2.0))))
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(C′₂ (sqrt (+ (expt a′₂ 2.0) (expt b₂ 2.0))))
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(h′₁ (if (and (= b₁ 0) (= a′₁ 0))
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0
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(let ((v (atan b₁ a′₁)))
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(if (< v 0)
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(+ v (* 2 float-pi))
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v))))
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(h′₂ (if (and (= b₂ 0) (= a′₂ 0))
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0
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(let ((v (atan b₂ a′₂)))
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(if (< v 0)
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(+ v (* 2 float-pi))
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v))))
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(ΔL′ (- L₂ L₁))
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(ΔC′ (- C′₂ C′₁))
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(Δh′ (cond ((= (* C′₁ C′₂) 0)
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0)
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((<= (abs (- h′₂ h′₁)) float-pi)
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(- h′₂ h′₁))
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((> (- h′₂ h′₁) float-pi)
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(- (- h′₂ h′₁) (* 2 float-pi)))
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((< (- h′₂ h′₁) (- float-pi))
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(+ (- h′₂ h′₁) (* 2 float-pi)))))
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(ΔH′ (* 2 (sqrt (* C′₁ C′₂)) (sin (/ Δh′ 2.0))))
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(L̄′ (/ (+ L₁ L₂) 2.0))
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(C̄′ (/ (+ C′₁ C′₂) 2.0))
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(h̄′ (cond ((= (* C′₁ C′₂) 0)
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(+ h′₁ h′₂))
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((<= (abs (- h′₁ h′₂)) float-pi)
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(/ (+ h′₁ h′₂) 2.0))
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((< (+ h′₁ h′₂) (* 2 float-pi))
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(/ (+ h′₁ h′₂ (* 2 float-pi)) 2.0))
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((>= (+ h′₁ h′₂) (* 2 float-pi))
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(/ (+ h′₁ h′₂ (* -2 float-pi)) 2.0))))
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(T (+ 1
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(- (* 0.17 (cos (- h̄′ (degrees-to-radians 30)))))
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(* 0.24 (cos (* h̄′ 2)))
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(* 0.32 (cos (+ (* h̄′ 3) (degrees-to-radians 6))))
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(- (* 0.20 (cos (- (* h̄′ 4) (degrees-to-radians 63)))))))
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(Δθ (* (degrees-to-radians 30)
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(exp (- (expt (/ (- h̄′ (degrees-to-radians 275))
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(degrees-to-radians 25)) 2.0)))))
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(Rc (* 2 (sqrt (/ (expt C̄′ 7.0) (+ (expt C̄′ 7.0) (expt 25.0 7.0))))))
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(Sl (+ 1 (/ (* 0.015 (expt (- L̄′ 50) 2.0))
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(sqrt (+ 20 (expt (- L̄′ 50) 2.0))))))
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(Sc (+ 1 (* C̄′ 0.045)))
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(Sh (+ 1 (* 0.015 C̄′ T)))
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(Rt (- (* (sin (* Δθ 2)) Rc))))
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(sqrt (+ (expt (/ ΔL′ (* Sl kL)) 2.0)
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(expt (/ ΔC′ (* Sc kC)) 2.0)
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(expt (/ ΔH′ (* Sh kH)) 2.0)
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(* Rt (/ ΔC′ (* Sc kC)) (/ ΔH′ (* Sh kH)))))))
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(defun color-clamp (value)
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"Make sure VALUE is a number between 0.0 and 1.0 inclusive."
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(min 1.0 (max 0.0 value)))
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(defun color-saturate-hsl (H S L percent)
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"Make a color more saturated by a specified amount.
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Given a color defined in terms of hue, saturation, and luminance
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\(arguments H, S, and L), return a color that is PERCENT more
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saturated. Returns a list (HUE SATURATION LUMINANCE)."
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(list H (color-clamp (+ S (/ percent 100.0))) L))
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(defun color-saturate-name (name percent)
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"Make a color with a specified NAME more saturated by PERCENT.
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See `color-saturate-hsl'."
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(apply 'color-rgb-to-hex
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(apply 'color-hsl-to-rgb
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(apply 'color-saturate-hsl
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(append
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(apply 'color-rgb-to-hsl
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(color-name-to-rgb name))
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(list percent))))))
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(defun color-desaturate-hsl (H S L percent)
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"Make a color less saturated by a specified amount.
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Given a color defined in terms of hue, saturation, and luminance
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\(arguments H, S, and L), return a color that is PERCENT less
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saturated. Returns a list (HUE SATURATION LUMINANCE)."
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(color-saturate-hsl H S L (- percent)))
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(defun color-desaturate-name (name percent)
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"Make a color with a specified NAME less saturated by PERCENT.
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See `color-desaturate-hsl'."
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(color-saturate-name name (- percent)))
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(defun color-lighten-hsl (H S L percent)
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"Make a color lighter by a specified amount.
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Given a color defined in terms of hue, saturation, and luminance
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\(arguments H, S, and L), return a color that is PERCENT lighter.
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Returns a list (HUE SATURATION LUMINANCE)."
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(list H S (color-clamp (+ L (/ percent 100.0)))))
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(defun color-lighten-name (name percent)
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"Make a color with a specified NAME lighter by PERCENT.
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See `color-lighten-hsl'."
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(apply 'color-rgb-to-hex
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(apply 'color-hsl-to-rgb
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(apply 'color-lighten-hsl
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(append
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(apply 'color-rgb-to-hsl
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(color-name-to-rgb name))
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(list percent))))))
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(defun color-darken-hsl (H S L percent)
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"Make a color darker by a specified amount.
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Given a color defined in terms of hue, saturation, and luminance
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\(arguments H, S, and L), return a color that is PERCENT darker.
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Returns a list (HUE SATURATION LUMINANCE)."
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(color-lighten-hsl H S L (- percent)))
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(defun color-darken-name (name percent)
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"Make a color with a specified NAME darker by PERCENT.
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See `color-darken-hsl'."
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(color-lighten-name name (- percent)))
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(provide 'color)
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;;; color.el ends here
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