[Cyan]<CedarChest6.0>ColorTool>CGColorWithCIEImpl.mesa!2

CGColorWithCIEImpl.mesa

Last edited by Maureen Stone, June 21, 1985 1:52:14 pm PDT

Last edited by Doug Wyatt, November 12, 1982 1:30 pm

Last Edited by: Beach, February 13, 1984 2:23:14 pm PST

Last Edited by: Naiman, July 8, 1985 6:32:29 pm PDT

DIRECTORY

CGColorWithCIE USING [Color, GetStipple, undefined, PhosphorType],

Basics USING[BITSHIFT, BITAND],

Real USING [FixI, RoundC],

ImagerColor USING [RGB, HSV, HSL, YIQ, HSVFromRGB, RGBFromHSV, HSLFromRGB, RGBFromHSL, YIQFromRGB, RGBFromYIQ],

Matrix,

RuntimeError USING [BoundsFault];

CGColorWithCIEImpl: CEDAR PROGRAM

IMPORTS CGColorWithCIE, Basics, Real, RuntimeError, Matrix, ImagerColor

EXPORTS CGColorWithCIE = {

Color: TYPE = CGColorWithCIE.Color;

Byte: TYPE = [0..256);

undefined: REAL= CGColorWithCIE.undefined;

InvalidColor: PUBLIC SIGNAL=CODE;

Uninitialized: PUBLIC SIGNAL=CODE;

ToRange: PROC[v: REAL] RETURNS[REAL] = INLINE { IF v IN[0..1] THEN RETURN[v]

ELSE ERROR RuntimeError.BoundsFault };

-- ensures that v is in [0..1]; raises BoundsFault if not

ToByte: PROC[v: REAL] RETURNS[Byte] = INLINE { RETURN[Real.RoundC[ToRange[v]*255]] };

-- assumes v IN[0..1]

MakeRGB: PROC[r, g, b: Byte] RETURNS[Color] = INLINE { RETURN[[tag: rgb, r: r, g: g, b: b]] };

IntensityToColor: PUBLIC PROC[intensity: REAL] RETURNS[Color] = {

i: Byte ← ToByte[ToRange[intensity]];

RETURN[MakeRGB[i, i, i]] };

RGBToColor: PUBLIC PROC[r,g,b: REAL] RETURNS[Color] = {

red: Byte ← ToByte[ToRange[r]];

grn: Byte ← ToByte[ToRange[g]];

blu: Byte ← ToByte[ToRange[b]];

RETURN[MakeRGB[red, grn, blu]] };

HSVToColor: PUBLIC PROC[h,s,v: REAL] RETURNS[Color] = {

r,g,b: REAL; [r,g,b] ← HSVToRGB[h, s, v];

RETURN[MakeRGB[ToByte[r],ToByte[g],ToByte[b]]] };

ColorToIntensity: PUBLIC PROC[color: Color] RETURNS[intensity: REAL] = {

SELECT color.tag FROM

rgb => { i: REAL;

IF color.b=color.r AND color.g=color.r THEN i ← color.r

ELSE i ← 0.30*color.r+0.11*color.b+0.59*color.g;

intensity ← i/255.0 };

stipple => intensity ← StippleToIntensity[color];

ENDCASE => intensity ← 0;

RETURN[intensity];

};

ColorToHSV: PUBLIC PROC[color: Color] RETURNS[h, s, v: REAL] = {

SELECT color.tag FROM

rgb => [h,s,v] ← RGBToHSV[color.r/255.0, color.g/255.0, color.b/255.0];

stipple => { h ← s ← 0; v ← StippleToIntensity[color] };

ENDCASE => h ← s ← v ← 0;

RETURN[h,s,v];

};

ColorToRGB: PUBLIC PROC[color: Color] RETURNS[r, g, b: REAL] = {

SELECT color.tag FROM

rgb => RETURN[r: color.r/255.0, g: color.g/255.0, b: color.b/255.0];

stipple => { i: REAL ← StippleToIntensity[color]; RETURN[i, i, i] };

ENDCASE => RETURN[0, 0, 0];

};

StippleToIntensity: PROC[color: Color] RETURNS[intensity: REAL] = { -- assumes color.tag = stipple

bits: CARDINAL ← CGColorWithCIE.GetStipple[color];

count: NAT ← 0;

FOR i: CARDINAL IN[0..16) DO TRUSTED {

IF Basics.BITAND[bits,1]=0 THEN count ← count+1; -- count "white" bits

bits ← Basics.BITSHIFT[bits,-1] };

ENDLOOP;

intensity ← count/16.0;

};

These algorithms use the hexacone model described in

"Color Gamut Transform Pairs" by Alvy Ray Smith

Siggraph 1978, p. 12.

Algorithms from Foley and van Dam

HSVToRGB: PUBLIC PROC[h,s,v: REAL] RETURNS[r,g,b: REAL] = {

hue: REAL;

saturation: REAL ← ToRange[s];

value: REAL ← ToRange[v];

ihue: INTEGER;

fhue,m,n,k: REAL;

IF h=undefined THEN

IF saturation=0 THEN {r ← g ← b ← value; RETURN}

ELSE SIGNAL InvalidColor

ELSE hue ← ToRange[h];

hue ← hue*6;

ihue ← Real.FixI[hue]; --integer hue

fhue ← hue-ihue; --fractional hue

IF ihue=6 THEN ihue ← 0;

m ← value*(1-saturation);

n ← value*(1-(saturation*fhue));

k ← value*(1-(saturation*(1-fhue)));

SELECT ihue FROM

0 => RETURN[value,k,m];

1 => RETURN[n,value,m];

2 => RETURN[m,value,k];

3 => RETURN[m,n,value];

4 => RETURN[k,m,value];

5 => RETURN[value,m,n];

ENDCASE => RETURN[0,0,0];

};

RGBToHSV: PUBLIC PROC[r,g,b: REAL] RETURNS[h,s,v: REAL] = {

max,min,rc,gc,bc: REAL;

r ← ToRange[r]; g ← ToRange[g]; b ← ToRange[b];

min ← MIN[MIN[r,g],b]; --amount of white

v ← max ← MAX[MAX[r,g],b];--maximum "brightness"

IF max#0 THEN s ← (max-min)/max

ELSE s ← 0;

IF s=0 THEN RETURN[undefined,0,v]; --gray

rc ← (max - r)/(max - min);

gc ← (max - g)/(max - min);

bc ← (max - b)/(max - min);

IF r=max THEN h�-gc

ELSE IF g=max THEN h𡤂+rc-bc

ELSE IF b=max THEN h𡤄+gc-rc;

h ← h / 6.0;

IF h<0 THEN h←h+1;

RETURN[h, s, v];

};

HSLToRGB: PUBLIC PROC[h, s, l: REAL] RETURNS[r, g, b: REAL] = {

m1,m2,hue,saturation, lightness: REAL;

Value: PROC[n1,n2,h1: REAL] RETURNS[v: REAL] = {

IF h1 > 360 THEN h1 ← h1-360;

IF h1 < 0 THEN h1 ← h1+360;

v ← SELECT TRUE FROM

h1 IN [0..60) => n1+(n2-n1)*h1/60,

h1 IN [60..180) => n2,

h1 IN [180..240) => n1+(n2-n1)*(240-h1)/60,

ENDCASE => n1;

};

saturation ← ToRange[s];

lightness ← ToRange[l];

IF h=undefined THEN

IF saturation=0 THEN {r ← g ← b ← lightness}

ELSE SIGNAL InvalidColor

ELSE hue ← 360*ToRange[h];

m2 ← IF lightness <= 0.5

THEN lightness*(1+saturation)

ELSE lightness+saturation-lightness*saturation;

m1 ← 2*lightness-m2;

r ← Value[m1,m2,hue+120];

g ← Value[m1,m2,hue];

b ← Value[m1,m2,hue-120];

};

RGBToHSL: PUBLIC PROC[r, g, b: REAL] RETURNS[h, s, l: REAL] = {

max,min,rc,gc,bc,del: REAL;

red: REAL ← ToRange[r];

green: REAL ← ToRange[g];

blue: REAL ← ToRange[b];

max ← MAX[red,MAX[green,blue]];

min ← MIN[red,MIN[green,blue]];

l ← (max+min)/2;

IF max=min THEN RETURN[undefined,0,l]; --gray

del ← max-min;

s ← IF l <= 0.5 THEN del/(max+min) ELSE del/(2-max-min);

rc ← (max-red)/del;

gc ← (max-green)/del;

bc ← (max-blue)/del;

IF max = red THEN h ← bc-gc --between yellow and magenta

ELSE IF max = green THEN h ← 2+rc-bc --between cyan and yellow

ELSE IF max = blue THEN h ← 4+gc-rc --between magenta and cyan

ELSE SIGNAL InvalidColor;

h ← h/6.0;

IF h < 0 THEN h ← h+1;

};

rgbToYiqMatrix: Matrix.MatrixN ← Matrix.Create[3,3];

yiqToRgbMatrix: Matrix.MatrixN ← Matrix.Create[3,3];

YIQToRGB: PUBLIC PROC[y, i, q: REAL] RETURNS[r, g, b: REAL] = {

rgbMatrix, yiqMatrix: Matrix.MatrixN;

rgbMatrix ← Matrix.Create[3,1];

yiqMatrix ← Matrix.Create[3,1];

yiqMatrix[0][0] ← y; yiqMatrix[1][0] ← i * 1.2 - 0.6; yiqMatrix[2][0] ← q * 1.04 - 0.52;

rgbMatrix ← Matrix.Multiply[yiqToRgbMatrix, yiqMatrix];

r ← rgbMatrix[0][0]; g ← rgbMatrix[1][0]; b ← rgbMatrix[2][0];

r ← MIN[r,1]; g ← MIN[g,1]; b ← MIN[b,1]; --control precision problems

r ← MAX[r,0]; g ← MAX[g,0]; b ← MAX[b,0];

};

RGBToYIQ: PUBLIC PROC[r, g, b: REAL] RETURNS[y, i, q: REAL] = {

rgbMatrix, yiqMatrix: Matrix.MatrixN;

rgbMatrix ← Matrix.Create[3,1];

yiqMatrix ← Matrix.Create[3,1];

rgbMatrix[0][0] ← r; rgbMatrix[1][0] ← g; rgbMatrix[2][0] ← b;

yiqMatrix ← Matrix.Multiply[rgbToYiqMatrix, rgbMatrix];

y ← yiqMatrix[0][0]; i ← (yiqMatrix[1][0] + 0.6) / 1.2; q ← (yiqMatrix[2][0] + 0.52) / 1.04;

y ← MIN[y,1]; i ← MIN[i,1]; q ← MIN[q,1]; --control precision problems

y ← MAX[y,0]; i ← MAX[i,0]; q ← MAX[q,0];

};

rgbToArgybMatrix: Matrix.MatrixN ← Matrix.Create[3,3];

argybToRgbMatrix: Matrix.MatrixN ← Matrix.Create[3,3];

ARgYbToRGB: PUBLIC PROC[a, rg, yb: REAL] RETURNS[r, g, b: REAL] = {

rgbMatrix, argybMatrix: Matrix.MatrixN;

rgbMatrix ← Matrix.Create[3,1];

argybMatrix ← Matrix.Create[3,1];

argybMatrix[0][0] ← a; argybMatrix[1][0] ← rg - 0.5; argybMatrix[2][0] ← yb - 0.5;

rgbMatrix ← Matrix.Multiply[argybToRgbMatrix, argybMatrix];

r ← rgbMatrix[0][0]; g ← rgbMatrix[1][0]; b ← rgbMatrix[2][0];

r ← MIN[r,1]; g ← MIN[g,1]; b ← MIN[b,1]; --control precision problems

r ← MAX[r,0]; g ← MAX[g,0]; b ← MAX[b,0];

};

RGBToARgYb: PUBLIC PROC[r, g, b: REAL] RETURNS[a, rg, yb: REAL] = {

rgbMatrix, argybMatrix: Matrix.MatrixN;

rgbMatrix ← Matrix.Create[3,1];

argybMatrix ← Matrix.Create[3,1];

rgbMatrix[0][0] ← r; rgbMatrix[1][0] ← g; rgbMatrix[2][0] ← b;

argybMatrix ← Matrix.Multiply[rgbToArgybMatrix, rgbMatrix];

a ← argybMatrix[0][0]; rg ← argybMatrix[1][0] + 0.5; yb ← argybMatrix[2][0] + 0.5;

a ← MIN[a,1]; rg ← MIN[rg,1]; yb ← MIN[yb,1]; --control precision problems

a ← MAX[a,0]; rg ← MAX[rg,0]; yb ← MAX[yb,0];

};

Real0: TYPE = REAL ← 0;

Matrix3: TYPE = ARRAY [0..3) OF Row3;

Row3: TYPE = ARRAY [0..3) OF Real0;

Column3: TYPE = ARRAY [0..3) OF Real0;

ToCIE: Matrix3;

ToRGB: Matrix3;

yScale: REAL ← 1;

Initialized: BOOLEAN ← FALSE;

InitCIE: PUBLIC PROC[xr,yr,xg,yg,xb,yb: REAL, whiteY: REAL ← 1] = {

matrix: Matrix.MatrixN;

ToCIE[0][0] ←xr; ToCIE[1][0] ←yr; ToCIE[2][0] 𡤁-(xr+yr);

ToCIE[0][1] ←xg; ToCIE[1][1] ←yg; ToCIE[2][1] 𡤁-(xg+yg);

ToCIE[0][2] ←xb; ToCIE[1][2] ←yb; ToCIE[2][2] 𡤁-(xb+yb);

Initialized ← TRUE;

yScale ← whiteY/(yr+yg+yb);

matrix ← Matrix.Create[3,3];

FOR i: INTEGER IN [0..3) DO

FOR j: INTEGER IN [0..3) DO

matrix[i][j] ← ToCIE[i][j];

ENDLOOP;

matrix ← Matrix.Invert[matrix];

FOR i: INTEGER IN [0..3) DO

FOR j: INTEGER IN [0..3) DO

ToRGB[i][j] ← matrix[i][j];

ENDLOOP;

};

longXR: REAL ← 0.6;

longYR: REAL ← 0.325;

longXG: REAL ← 0.22;

longYG: REAL ← 0.62;

longXB: REAL ← 0.23;

longYB: REAL ← 0.2;

normalXR: REAL ← 0.615;

normalYR: REAL ← 0.34;

normalXG: REAL ← 0.3;

normalYG: REAL ← 0.59;

normalXB: REAL ← 0.15;

normalYB: REAL ← 0.065;

InitDefaultCIE: PUBLIC PROC[type: CGColorWithCIE.PhosphorType ← long] = {

SELECT type FROM

long => InitCIE[longXR,longYR,longXG,longYG,longXB,longYB];

normal => InitCIE[normalXR,normalYR,normalXG,normalYG,normalXB,normalYB];

ENDCASE => ERROR;

};

GetDefaultValues: PUBLIC PROC[type: CGColorWithCIE.PhosphorType] RETURNS[xr,yr,xg,yg,xb,yb: REAL] = {

SELECT type FROM

long => RETURN[xr: longXR, yr: longYR, xg: longXG, yg: longYG, xb: longXB, yb: longYB];

normal => RETURN[xr: normalXR, yr: normalYR, xg: normalXG, yg: normalYG, xb: normalXB, yb: normalYB];

ENDCASE => ERROR;

};

SetDefaultValues: PUBLIC PROC[xr,yr,xg,yg,xb,yb: REAL, type: CGColorWithCIE.PhosphorType] = {

SELECT type FROM

long => {

longXR ← xr; longYR ← yr;

longXG ← xg; longYG ← yg;

longXB ← xb; longYB ← yb;

};

normal => {

normalXR ← xr; normalYR ← yr;

normalXG ← xg; normalYG ← yg;

normalXB ← xb; normalYB ← yb;

};

ENDCASE => ERROR;

};

CIEToRGB: PUBLIC PROC[x,y, Y: REAL] RETURNS[r, g, b: REAL] = {

may return values outside the range [0..1]

rgb,cie: Column3;

s: REAL;

IF ~Initialized THEN SIGNAL Uninitialized;

s ← Y/(yScale*y); --now a real Y

cie[0] ← x*s; cie[1] ← y*s; cie[2] ← s-(x+y)*s;

rgb ← MultiplyVec[ToRGB,cie];

r ← rgb[0]; g ←rgb[1]; b ← rgb[2];

};

RGBToCIE: PUBLIC PROC[r, g, b: REAL] RETURNS [x,y, Y: REAL] = {

cie,rgb: Column3;

s: REAL;

IF ~Initialized THEN SIGNAL Uninitialized;

rgb ← [r,g,b];

cie ← MultiplyVec[ToCIE,rgb];

s ← cie[0]+cie[1]+cie[2]; --cie must be positive

IF s=0 THEN RETURN[0,0,0]; --r, g, b =0 means color is black

x ← cie[0]/s; y ← cie[1]/s; Y ← cie[1]*yScale;

};

GetMaxY: PUBLIC PROC[x,y: REAL] RETURNS[Y: REAL] = {

work this out by algebra, find we can use ToRGB to solve it

cie,ymax: Column3;

cie ← [x/y,1,(1-(x+y))/y];

ymax ← MultiplyVec[ToRGB,cie]; --actually the inverses

Y ← MAX[MAX[ymax[0],ymax[1]],ymax[2]];

Y ← yScale/Y;

};

MultiplyVec: PROC[a: Matrix3, v: Column3] RETURNS [c: Column3] = {

FOR i: INTEGER IN [0..3) DO

c[i] ← 0;

FOR j: INTEGER IN [0..3) DO

c[i] ← c[i]+a[i][j]*v[j];

ENDLOOP;

};

ContrastInRGB: PUBLIC PROC[rgb: ImagerColor.RGB] RETURNS[rgbContrast: ImagerColor.RGB] = {

IF rgb.R < 0.5 THEN rgbContrast.R ← 1.0 ELSE rgbContrast.R ← 0.0;

IF rgb.G < 0.5 THEN rgbContrast.G ← 1.0 ELSE rgbContrast.G ← 0.0;

IF rgb.B < 0.5 THEN rgbContrast.B ← 1.0 ELSE rgbContrast.B ← 0.0;

};

ContrastInHSV: PUBLIC PROC[rgb: ImagerColor.RGB] RETURNS[hsvContrast: ImagerColor.RGB] = {

hsvContrastInHSV: ImagerColor.HSV;

hsv: ImagerColor.HSV ← ImagerColor.HSVFromRGB[rgb];

hsvContrastInHSV.H ← hsv.H + 0.5;

IF hsvContrastInHSV.H > 1.0 THEN hsvContrastInHSV.H ← hsvContrastInHSV.H - 1.0;

IF hsv.S < 0.5 THEN hsvContrastInHSV.S ← 1.0 ELSE hsvContrastInHSV.S ← 0.0;

IF hsv.V < 0.5 THEN hsvContrastInHSV.V ← 1.0 ELSE hsvContrastInHSV.V ← 0.0;

hsvContrast ← ImagerColor.RGBFromHSV[hsvContrastInHSV];

};

ContrastInHSL: PUBLIC PROC[rgb: ImagerColor.RGB] RETURNS[hslContrast: ImagerColor.RGB] = {

hslContrastInHSL: ImagerColor.HSL;

hsl: ImagerColor.HSL ← ImagerColor.HSLFromRGB[rgb];

hslContrastInHSL.H ← hsl.H + 0.5;

IF hslContrastInHSL.H > 1.0 THEN hslContrastInHSL.H ← hslContrastInHSL.H - 1.0;

IF hsl.S < 0.5 THEN hslContrastInHSL.S ← 1.0 ELSE hslContrastInHSL.S ← 0.0;

IF hsl.L < 0.5 THEN hslContrastInHSL.L ← 1.0 ELSE hslContrastInHSL.L ← 0.0;

hslContrast ← ImagerColor.RGBFromHSL[hslContrastInHSL];

};

ContrastInYIQ: PUBLIC PROC[rgb: ImagerColor.RGB] RETURNS[yiqContrast: ImagerColor.RGB] = {

yiqContrastInYIQ: ImagerColor.YIQ;

yiq: ImagerColor.YIQ ← ImagerColor.YIQFromRGB[rgb];

yiq.I ← (yiq.I + 0.6) / 1.2; yiq.Q ← (yiq.Q + 0.52) / 1.04;

IF yiq.Y < 0.5 THEN yiqContrastInYIQ.Y ← 1.0 ELSE yiqContrastInYIQ.Y ← 0.0;

IF yiq.I < 0.5 THEN yiqContrastInYIQ.I ← 1.0 ELSE yiqContrastInYIQ.I ← 0.0;

IF yiq.Q < 0.5 THEN yiqContrastInYIQ.Q ← 1.0 ELSE yiqContrastInYIQ.Q ← 0.0;

yiqContrastInYIQ.I ← yiqContrastInYIQ.I * 1.2 - 0.6; yiqContrastInYIQ.Q ← yiqContrastInYIQ.Q * 1.04 - 0.52;

yiqContrast ← ImagerColor.RGBFromYIQ[yiqContrastInYIQ];

yiqContrast.R ← MIN[yiqContrast.R,1]; yiqContrast.G ← MIN[yiqContrast.G,1]; yiqContrast.B ← MIN[yiqContrast.B,1];

yiqContrast.R ← MAX[yiqContrast.R,0]; yiqContrast.G ← MAX[yiqContrast.G,0]; yiqContrast.B ← MAX[yiqContrast.B,0];

};

ContrastInARgYb: PUBLIC PROC[rgb: ImagerColor.RGB] RETURNS[argybContrast: ImagerColor.RGB] = {

a, rg, yb: REAL;

aContrastInARgYb, rgContrastInARgYb, ybContrastInARgYb: REAL;

[a, rg, yb] ← RGBToARgYb[rgb.R, rgb.G, rgb.B];

IF a < 0.5 THEN aContrastInARgYb ← 1.0 ELSE aContrastInARgYb ← 0.0;

IF rg < 0.5 THEN rgContrastInARgYb ← 1.0 ELSE rgContrastInARgYb ← 0.0;

IF yb < 0.5 THEN ybContrastInARgYb ← 1.0 ELSE ybContrastInARgYb ← 0.0;

[argybContrast.R, argybContrast.G, argybContrast.B] ← ARgYbToRGB[aContrastInARgYb, rgContrastInARgYb, ybContrastInARgYb];

argybContrast.R ← MIN[argybContrast.R,1]; argybContrast.G ← MIN[argybContrast.G,1]; argybContrast.B ← MIN[argybContrast.B,1];

argybContrast.R ← MAX[argybContrast.R,0]; argybContrast.G ← MAX[argybContrast.G,0]; argybContrast.B ← MAX[argybContrast.B,0];

};

Initialization

rgbToYiqMatrix[0][0] ← 0.3; rgbToYiqMatrix[0][1] ← 0.59; rgbToYiqMatrix[0][2] ← 0.11;

rgbToYiqMatrix[1][0] ← 0.6; rgbToYiqMatrix[1][1] ← -0.28; rgbToYiqMatrix[1][2] ← -0.32;

rgbToYiqMatrix[2][0] ← 0.21; rgbToYiqMatrix[2][1] ← -0.52; rgbToYiqMatrix[2][2] ← 0.31;

yiqToRgbMatrix ← Matrix.Invert[rgbToYiqMatrix];

rgbToArgybMatrix[0][0] ← 0.3; rgbToArgybMatrix[0][1] ← 0.59; rgbToArgybMatrix[0][2] ← 0.11;

rgbToArgybMatrix[1][0] ← 0.5; rgbToArgybMatrix[1][1] ← -0.5; rgbToArgybMatrix[1][2] ← 0.0;

rgbToArgybMatrix[2][0] ← 0.25; rgbToArgybMatrix[2][1] ← 0.25; rgbToArgybMatrix[2][2] ← -0.5;

argybToRgbMatrix ← Matrix.Invert[rgbToArgybMatrix];