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color.spad
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color.spad
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)abbrev domain COLOR Color
++ Author: Jim Wen
++ Date Created: 10 May 1989
++ 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)
import from I
import from SF
f : SF * c : % ==
-- s * c returns the color c, whose weighted shade has been scaled by s
zero? f => c
-- 0 is the identity 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..",
convert(totalHues)@String)
[i::I, 1]
coerce(c : %) : OutputForm ==
hconcat [message("Hue: "), (c.hue)::OutputForm,
message(" Weight: "), (c.weight)::OutputForm]
)abbrev domain PALETTE Palette
++ Author: Jim Wen
++ Date Created: May 10th 1989
++ 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"]@List(String)
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
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([message("["), coerce(p.hueField), message("] from the "),
message(SHADE.(p.shadeField)), message(" palette")])
--Copyright (c) 1991-2002, The Numerical ALgorithms Group Ltd.
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