1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
|
\documentclass{article}
\usepackage{open-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:= negative? diff) 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 negative? ans 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 negative? i 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 ==> Join(SetCategory,CoercibleFrom C) 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.
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}
|
