JS function to calculate complementary colour?

Question

Does anybody know, off the top of your heads, a Javascript solution for calculating the complementary colour of a hex value?

There is a number of colour picking suites and palette generators on the web but I haven't seen any that calculate the colour live using JS.

A detailed hint or a snippet would be very much appreciated.

Answer 1

Parsed through http://design.geckotribe.com/colorwheel/

// complement
temprgb=thisrgb;
temphsv=RGB2HSV(temprgb);
temphsv.hue=HueShift(temphsv.hue,180.0);
temprgb=HSV2RGB(temphsv);

function RGB2HSV(rgb) {
    hsv = new Object();
    max=max3(rgb.r,rgb.g,rgb.b);
    dif=max-min3(rgb.r,rgb.g,rgb.b);
    hsv.saturation=(max==0.0)?0:(100*dif/max);
    if (hsv.saturation==0) hsv.hue=0;
    else if (rgb.r==max) hsv.hue=60.0*(rgb.g-rgb.b)/dif;
    else if (rgb.g==max) hsv.hue=120.0+60.0*(rgb.b-rgb.r)/dif;
    else if (rgb.b==max) hsv.hue=240.0+60.0*(rgb.r-rgb.g)/dif;
    if (hsv.hue<0.0) hsv.hue+=360.0;
    hsv.value=Math.round(max*100/255);
    hsv.hue=Math.round(hsv.hue);
    hsv.saturation=Math.round(hsv.saturation);
    return hsv;
}

// RGB2HSV and HSV2RGB are based on Color Match Remix [http://color.twysted.net/]
// which is based on or copied from ColorMatch 5K [http://colormatch.dk/]
function HSV2RGB(hsv) {
    var rgb=new Object();
    if (hsv.saturation==0) {
        rgb.r=rgb.g=rgb.b=Math.round(hsv.value*2.55);
    } else {
        hsv.hue/=60;
        hsv.saturation/=100;
        hsv.value/=100;
        i=Math.floor(hsv.hue);
        f=hsv.hue-i;
        p=hsv.value*(1-hsv.saturation);
        q=hsv.value*(1-hsv.saturation*f);
        t=hsv.value*(1-hsv.saturation*(1-f));
        switch(i) {
        case 0: rgb.r=hsv.value; rgb.g=t; rgb.b=p; break;
        case 1: rgb.r=q; rgb.g=hsv.value; rgb.b=p; break;
        case 2: rgb.r=p; rgb.g=hsv.value; rgb.b=t; break;
        case 3: rgb.r=p; rgb.g=q; rgb.b=hsv.value; break;
        case 4: rgb.r=t; rgb.g=p; rgb.b=hsv.value; break;
        default: rgb.r=hsv.value; rgb.g=p; rgb.b=q;
        }
        rgb.r=Math.round(rgb.r*255);
        rgb.g=Math.round(rgb.g*255);
        rgb.b=Math.round(rgb.b*255);
    }
    return rgb;
}

//Adding HueShift via Jacob (see comments)
function HueShift(h,s) { 
    h+=s; while (h>=360.0) h-=360.0; while (h<0.0) h+=360.0; return h; 
}

//min max via Hairgami_Master (see comments)
function min3(a,b,c) { 
    return (a<b)?((a<c)?a:c):((b<c)?b:c); 
} 
function max3(a,b,c) { 
    return (a>b)?((a>c)?a:c):((b>c)?b:c); 
}

Answer 2

I find that taking the bit-wise complement works well, and quickly.

var color = 0x320ae3;
var complement = 0xffffff ^ color;

I'm not sure if it's a perfect complement in the sense of "mixes together to form a 70% grey", however a 70% grey is "pure white" in terms of color timing in film. It occurred to me that XORing the RGB hex out of pure white might be a good first approximation. You could also try a darker grey to see how that works for you.

Again, this is a fast approximation and I make no guarantees that it'll be perfectly accurate.

See https://github.com/alfl/textful/blob/master/app.js#L38 for my implementation.

Answer 3

None of the other functions here worked out the box, so I made this one.

It takes a hex value, converts it to HSL, shifts the hue 180 degrees and converts back to Hex

/* hexToComplimentary : Converts hex value to HSL, shifts
 * hue by 180 degrees and then converts hex, giving complimentary color
 * as a hex value
 * @param  [String] hex : hex value  
 * @return [String] : complimentary color as hex value
 */
function hexToComplimentary(hex){

    // Convert hex to rgb
    // Credit to Denis http://stackoverflow.com/a/36253499/4939630
    var rgb = 'rgb(' + (hex = hex.replace('#', '')).match(new RegExp('(.{' + hex.length/3 + '})', 'g')).map(function(l) { return parseInt(hex.length%2 ? l+l : l, 16); }).join(',') + ')';

    // Get array of RGB values
    rgb = rgb.replace(/[^\d,]/g, '').split(',');

    var r = rgb[0], g = rgb[1], b = rgb[2];

    // Convert RGB to HSL
    // Adapted from answer by 0x000f http://stackoverflow.com/a/34946092/4939630
    r /= 255.0;
    g /= 255.0;
    b /= 255.0;
    var max = Math.max(r, g, b);
    var min = Math.min(r, g, b);
    var h, s, l = (max + min) / 2.0;

    if(max == min) {
        h = s = 0;  //achromatic
    } else {
        var d = max - min;
        s = (l > 0.5 ? d / (2.0 - max - min) : d / (max + min));

        if(max == r && g >= b) {
            h = 1.0472 * (g - b) / d ;
        } else if(max == r && g < b) {
            h = 1.0472 * (g - b) / d + 6.2832;
        } else if(max == g) {
            h = 1.0472 * (b - r) / d + 2.0944;
        } else if(max == b) {
            h = 1.0472 * (r - g) / d + 4.1888;
        }
    }

    h = h / 6.2832 * 360.0 + 0;

    // Shift hue to opposite side of wheel and convert to [0-1] value
    h+= 180;
    if (h > 360) { h -= 360; }
    h /= 360;

    // Convert h s and l values into r g and b values
    // Adapted from answer by Mohsen http://stackoverflow.com/a/9493060/4939630
    if(s === 0){
        r = g = b = l; // achromatic
    } else {
        var hue2rgb = function hue2rgb(p, q, t){
            if(t < 0) t += 1;
            if(t > 1) t -= 1;
            if(t < 1/6) return p + (q - p) * 6 * t;
            if(t < 1/2) return q;
            if(t < 2/3) return p + (q - p) * (2/3 - t) * 6;
            return p;
        };

        var q = l < 0.5 ? l * (1 + s) : l + s - l * s;
        var p = 2 * l - q;

        r = hue2rgb(p, q, h + 1/3);
        g = hue2rgb(p, q, h);
        b = hue2rgb(p, q, h - 1/3);
    }

    r = Math.round(r * 255);
    g = Math.round(g * 255); 
    b = Math.round(b * 255);

    // Convert r b and g values to hex
    rgb = b | (g << 8) | (r << 16); 
    return "#" + (0x1000000 | rgb).toString(16).substring(1);
}  

Answer 4

Rather than reinventing the wheel, I found a library to work with colors.

Tiny Color

This is how you would implement some of the other answers using it.

color1 = tinycolor2('#f00').spin(180).toHexString(); // Hue Shift
color2 = tinycolor2("#f00").complement().toHexString(); // bitwise