;;;; -*- Mode: Lisp; Syntax: ANSI-Common-Lisp; Base: 10; Package: kmrcl -*- ;;;; ************************************************************************* ;;;; FILE IDENTIFICATION ;;;; ;;;; Name: color.lisp ;;;; Purpose: Functions for color ;;;; Programmer: Kevin M. Rosenberg ;;;; Date Started: Oct 2003 ;;;; ;;;; $Id$ ;;;; ;;;; This file, part of KMRCL, is Copyright (c) 2002-2003 by Kevin M. Rosenberg ;;;; ;;;; KMRCL users are granted the rights to distribute and use this software ;;;; as governed by the terms of the Lisp Lesser GNU Public License ;;;; (http://opensource.franz.com/preamble.html), also known as the LLGPL. ;;;; ************************************************************************* (in-package #:kmrcl) ;; The HSV colour space has three coordinates: hue, saturation, and ;; value (sometimes called brighness) respectively. This colour system is ;; attributed to "Smith" around 1978 and used to be called the hexcone ;; colour model. The hue is an angle from 0 to 360 degrees, typically 0 ;; is red, 60 degrees yellow, 120 degrees green, 180 degrees cyan, 240 ;; degrees blue, and 300 degrees magenta. Saturation typically ranges ;; from 0 to 1 (sometimes 0 to 100%) and defines how grey the colour is, ;; 0 indicates grey and 1 is the pure primary colour. Value is similar to ;; luninance except it also varies the colour saturation. If the colour ;; space is represented by disks of varying lightness then the hue and ;; saturation are the equivalent to polar coordinates (r,theta) of any ;; point in the plane. The disks on the right show this for various ;; values. (defun hsv->rgb (h s v) (declare (optimize (speed 3) (safety 0))) (when (zerop s) (return-from hsv->rgb (values v v v))) (while (minusp h) (incf h 360)) (while (>= h 360) (decf h 360)) (let ((h-pos (/ h 60))) (multiple-value-bind (h-int h-frac) (truncate h-pos) (declare (fixnum h-int)) (let ((p (* v (- 1 s))) (q (* v (- 1 (* s h-frac)))) (t_ (* v (- 1 (* s (- 1 h-frac))))) r g b) (cond ((zerop h-int) (setf r v g t_ b p)) ((= 1 h-int) (setf r q g v b p)) ((= 2 h-int) (setf r p g v b t_)) ((= 3 h-int) (setf r p g q b v)) ((= 4 h-int) (setf r t_ g p b v)) ((= 5 h-int) (setf r v g p b q))) (values r g b))))) (defun hsv255->rgb255 (h s v) (declare (optimize (speed 3) (safety 0) (space 0) (compilation-speed 0))) (when (zerop s) (return-from hsv255->rgb255 (values v v v))) (locally (declare (type fixnum h s v)) (while (minusp h) (incf h 360)) (while (>= h 360) (decf h 360)) (let ((h-pos (/ h 60))) (multiple-value-bind (h-int h-frac) (truncate h-pos) (declare (fixnum h-int)) (let* ((fs (/ s 255)) (fv (/ v 255)) (p (round (* 255 fv (- 1 fs)))) (q (round (* 255 fv (- 1 (* fs h-frac))))) (t_ (round (* 255 fv (- 1 (* fs (- 1 h-frac)))))) r g b) (cond ((zerop h-int) (setf r v g t_ b p)) ((= 1 h-int) (setf r q g v b p)) ((= 2 h-int) (setf r p g v b t_)) ((= 3 h-int) (setf r p g q b v)) ((= 4 h-int) (setf r t_ g p b v)) ((= 5 h-int) (setf r v g p b q))) (values r g b)))))) (defun rgb->hsv (r g b) (declare (optimize (speed 3) (safety 0))) (let* ((min (min r g b)) (max (max r g b)) (delta (- max min)) (v max) (s 0) (h nil)) (when (plusp max) (setq s (/ delta max))) (when (plusp delta) (setq h (cond ((= max r) (nth-value 0 (/ (- g b) delta))) ((= max g) (nth-value 0 (+ 2 (/ (- b r) delta)))) (t (nth-value 0 (+ 4 (/ (- r g) delta)))))) (setq h (the fixnum (* 60 h))) (when (minusp h) (incf h 360))) (values h s v))) (defun rgb255->hsv255 (r g b) "Integer convert from rgb from 0-255 -> h from 0-360 and sv from 0-255" (declare (fixnum r g b) (optimize (speed 3) (safety 0) (space 0) (compilation-speed 0))) (let* ((min (min r g b)) (max (max r g b)) (delta (- max min)) (v max) (s 0) (h nil)) (declare (fixnum min max delta v s) (type (or null fixnum) h)) (when (plusp max) (setq s (truncate (the fixnum (* 255 delta)) max))) (when (plusp delta) (setq h (cond ((= max r) (truncate (the fixnum (* 60 (the fixnum (- g b)))) delta)) ((= max g) (the fixnum (+ 120 (truncate (the fixnum (* 60 (the fixnum (- b r)))) delta)))) (t (the fixnum (+ 240 (truncate (the fixnum (* 60 (the fixnum (- r g)))) delta)))))) (when (minusp h) (incf h 360))) (values h s v))) (defun hsv-equal (h1 s1 v1 h2 s2 v2 &key (limit .001)) (declare (optimize (speed 3) (safety 0) (space 0) (compilation-speed 0))) (flet ((~= (a b) (cond ((and (null a) (null b)) t) ((or (null a) (null b)) nil) (t (< (abs (- a b)) limit))))) (cond ((and (~= 0 v1) (~= 0 v2)) t) ((or (null h1) (null h2)) (when (and (~= 0 s1) (~= 0 s2) (~= v1 v2)) t)) (t (when (~= h1 h2) (~= s1 s2) (~= v1 v2) t))))) (defun hsv255-equal (h1 s1 v1 h2 s2 v2 &key (limit 1)) (declare (type fixnum s1 v1 s2 v2 limit) (type (or null fixnum) h1 h2) (optimize (speed 3) (safety 0) (space 0) (compilation-speed 0))) (flet ((~= (a b) (declare (type (or null fixnum) a b)) (cond ((and (null a) (null b)) t) ((or (null a) (null b)) nil) (t (<= (abs (the fixnum (- a b))) limit))))) (cond ((and (~= 0 v1) (~= 0 v2)) t) ((or (null h1) (null h2)) (when (and (~= 0 s1) (~= 0 s2) (~= v1 v2)) t)) (t (when (~= h1 h2) (~= s1 s2) (~= v1 v2) t))))) (defun hsv-similar (h1 s1 v1 h2 s2 v2 &key (hue-range 15) (value-range .2) (saturation-range 0.2) (gray-limit 0.3) (black-limit 0.3)) "Returns T if two HSV values are similar." (cond ;; all black colors are similar ((and (<= v1 black-limit) (<= v2 black-limit)) t) ;; all desaturated (gray) colors are similar for a value, despite hue ((and (<= s1 gray-limit) (<= s2 gray-limit)) (when (<= (abs (- v1 v2)) value-range) t)) (t (when (and (<= (abs (hue-difference h1 h2)) hue-range) (<= (abs (- v1 v2)) value-range) (<= (abs (- s1 s2)) saturation-range)) t)))) (defun hsv255-similar (h1 s1 v1 h2 s2 v2 &key (hue-range 15) (value-range 50) (saturation-range 50) (gray-limit 75) (black-limit 75)) "Returns T if two HSV values are similar." (declare (fixnum s1 v1 s2 v2 hue-range value-range saturation-range gray-limit black-limit) (type (or null fixnum) h1 h2) (optimize (speed 3) (safety 0) (space 0) (compilation-speed 0))) (cond ;; all black colors are similar ((and (<= v1 black-limit) (<= v2 black-limit)) t) ;; all desaturated (gray) colors are similar for a value, despite hue ((and (<= s1 gray-limit) (<= s2 gray-limit)) (when (<= (abs (- v1 v2)) value-range) t)) (t (when (and (<= (abs (hue-difference-fixnum h1 h2)) hue-range) (<= (abs (- v1 v2)) value-range) (<= (abs (- s1 s2)) saturation-range)) t)))) (defun hue-difference (h1 h2) "Return difference between two hues around 360 degree circle" (cond ((and (null h1) (null h2)) t) ((or (null h1) (null h2)) 360) (t (let ((diff (- h2 h1))) (cond ((< diff -180) (+ 360 diff) ) ((> diff 180) (- (- 360 diff))) (t diff)))))) (defun hue-difference-fixnum (h1 h2) "Return difference between two hues around 360 degree circle" (cond ((and (null h1) (null h2)) t) ((or (null h1) (null h2)) 360) (t (locally (declare (type fixnum h1 h2)) (let ((diff (- h2 h1))) (cond ((< diff -180) (+ 360 diff) ) ((> diff 180) (- (- 360 diff))) (t diff)))))))