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\documentclass{article}
\usepackage{axiom}
\title{src/algebra color.spad}
\begin{document}
\author{Gabriel Dos~Reis \and Jim Wen}
\maketitle
\begin{abstract}
\end{abstract}
\tableofcontents
\eject
\section{The category of RGB Color Model}
<<category RGBCMDL RGBColorModel>>=
)abbrev category RGBCMDL RGBColorModel
++ Author: Gabriel Dos Reis
++ Date Created: October 06, 2008
++ Related Constructor:
++ Description:
++ This category defines the common interface for RGB color models.
RGBColorModel(T: AbelianMonoid): Category == AbelianMonoid with
red: % -> T
++ red(c) returns the `red' component of `c'.
green: % -> T
++ green(c) returns the `green' component of `c'.
blue: % -> T
++ blue(c) returns the `blue' component of `c'.
componentUpperBound: T
++ componentUpperBound is an upper bound for all component values.
@
\section{The category of RGB Color Space}
<<category RGBCSPC RGBColorSpace>>=
)abbrev category RGBCSPC RGBColorSpace
++ Author: Gabriel Dos Reis
++ Date Created: October 06, 2008
++ Related Constructor:
++ Description:
++ This category defines the common interface for RGB color spaces.
RGBColorSpace(T: AbelianMonoid): Category == RGBColorModel T with
whitePoint: %
++ whitepoint is the contant indicating the white point
++ of this color space.
@
\section{domain COLOR Color}
<<domain COLOR Color>>=
)abbrev domain COLOR Color
++ Author: Jim Wen
++ Date Created: 10 May 1989
++ Date Last Updated: 19 Mar 1991 by Jon Steinbach
++ Basic Operations: red, yellow, green, blue, hue, numberOfHues, color, +, *, =
++ Related Constructors:
++ Also See:
++ AMS Classifications:
++ Keywords:
++ References:
++ Description: Color() specifies a domain of 27 colors provided in the
++ \Language{} system (the colors mix additively).
Color(): Exports == Implementation where
I ==> Integer
PI ==> PositiveInteger
SF ==> DoubleFloat
Exports ==> AbelianSemiGroup with
"*" : (PI, %) -> %
++ s * c, returns the color c, whose weighted shade has been scaled by s.
"*" : (SF, %) -> %
++ s * c, returns the color c, whose weighted shade has been scaled by s.
"+" : (%, %) -> %
++ c1 + c2 additively mixes the two colors c1 and c2.
red : () -> %
++ red() returns the position of the red hue from total hues.
yellow : () -> %
++ yellow() returns the position of the yellow hue from total hues.
green : () -> %
++ green() returns the position of the green hue from total hues.
blue : () -> %
++ blue() returns the position of the blue hue from total hues.
hue : % -> I
++ hue(c) returns the hue index of the indicated color c.
numberOfHues : () -> PI
++ numberOfHues() returns the number of total hues, set in totalHues.
color : Integer -> %
++ color(i) returns a color of the indicated hue i.
Implementation ==> add
totalHues ==> 27 --see (header.h file) for the current number
Rep := Record(hue:I, weight:SF)
f:SF * c:% ==
-- s * c returns the color c, whose weighted shade has been scaled by s
zero? f => c
-- 0 is the identitly function...or maybe an error is better?
[c.hue, f * c.weight]
x + y ==
x.hue = y.hue => [x.hue, x.weight + y.weight]
if y.weight > x.weight then -- let x be color with bigger weight
c := x
x := y
y := c
diff := x.hue - y.hue
if (xHueSmaller:= (diff < 0)) then diff := -diff
if (moreThanHalf:=(diff > totalHues quo 2)) then diff := totalHues-diff
offset : I := wholePart(round (diff::SF/(2::SF)**(x.weight/y.weight)) )
if (xHueSmaller and not moreThanHalf)
or (not xHueSmaller and moreThanHalf)
then
ans := x.hue + offset
else
ans := x.hue - offset
if (ans < 0) then ans := totalHues + ans
else if (ans > totalHues) then ans := ans - totalHues
[ans,1]
x = y == (x.hue = y.hue) and (x.weight = y.weight)
red() == [1,1]
yellow() == [11::I,1]
green() == [14::I,1]
blue() == [22::I,1]
sample() == red()
hue c == c.hue
i:PositiveInteger * c:% == i::SF * c
numberOfHues() == totalHues
color i ==
if (i<0) or (i>totalHues) then
error concat("Color should be in the range 1..",totalHues::String)
[i::I, 1]
coerce(c:%):OutputForm ==
hconcat ["Hue: "::OutputForm, (c.hue)::OutputForm,
" Weight: "::OutputForm, (c.weight)::OutputForm]
@
\section{domain PALETTE Palette}
<<domain PALETTE Palette>>=
)abbrev domain PALETTE Palette
++ Author: Jim Wen
++ Date Created: May 10th 1989
++ Date Last Updated: Jan 19th 1990
++ Basic Operations: dark, dim, bright, pastel, light, hue, shade, coerce
++ Related Constructors:
++ Also See:
++ AMS Classifications:
++ Keywords: dim,bright,pastel,coerce
++ References:
++ Description: This domain describes four groups of color shades (palettes).
Palette(): Exports == Implementation where
I ==> Integer
C ==> Color
SHADE ==> ["Dark","Dim","Bright","Pastel","Light"]
Exports ==> SetCategory with
dark : C -> %
++ dark(c) sets the shade of the indicated hue of c to it's lowest value.
dim : C -> %
++ dim(c) sets the shade of a hue, c, above dark, but below bright.
bright : C -> %
++ bright(c) sets the shade of a hue, c, above dim, but below pastel.
pastel : C -> %
++ pastel(c) sets the shade of a hue, c, above bright, but below light.
light : C -> %
++ light(c) sets the shade of a hue, c, to it's highest value.
hue : % -> C
++ hue(p) returns the hue field of the indicated palette p.
shade : % -> I
++ shade(p) returns the shade index of the indicated palette p.
coerce : C -> %
++ coerce(c) sets the average shade for the palette to that of the
++ indicated color c.
Implementation ==> add
import I
import C
Rep := Record(shadeField:I, hueField:C)
dark c == [1,c]
dim c == [2,c]
bright c == [3,c]
pastel c == [4,c]
light c == [5,c]
hue p == p.hueField
shade p == p.shadeField
-- sample() == bright(sample())
coerce(c:Color):% == bright c
coerce(p:%):OutputForm ==
hconcat ["[",coerce(p.hueField),"] from the ",SHADE.(p.shadeField)," palette"]
@
\section{License}
<<license>>=
--Copyright (c) 1991-2002, The Numerical Algorithms Group Ltd.
--All rights reserved.
--
--Copyright (C) 2007-2008, Gabriel Dos Reis.
--All rights reserved.
--
--Redistribution and use in source and binary forms, with or without
--modification, are permitted provided that the following conditions are
--met:
--
-- - Redistributions of source code must retain the above copyright
-- notice, this list of conditions and the following disclaimer.
--
-- - Redistributions in binary form must reproduce the above copyright
-- notice, this list of conditions and the following disclaimer in
-- the documentation and/or other materials provided with the
-- distribution.
--
-- - Neither the name of The Numerical Algorithms Group Ltd. nor the
-- names of its contributors may be used to endorse or promote products
-- derived from this software without specific prior written permission.
--
--THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS
--IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
--TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A
--PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER
--OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
--EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
--PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
--PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
--LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
--NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
--SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
@
<<*>>=
<<license>>
<<category RGBCMDL RGBColorModel>>
<<category RGBCSPC RGBColorSpace>>
<<domain COLOR Color>>
<<domain PALETTE Palette>>
@
\eject
\begin{thebibliography}{99}
\bibitem{1} nothing
\end{thebibliography}
\end{document}
|
