How to decide font color in white or black depending on background color?

DJPB picture DJPB · Oct 15, 2010 · Viewed 68.2k times · Source

I want to show some images like this examplealt text

The fill color is decided by a field in the data base with the color in hex (ex:ClassX -> Color: #66FFFF). Now, I want to show data above a fill with the selected color (like in the image above) but i need to know if the color is dark or light so i know if the words should be in white or black. Is there a way? tks

Answer

Mark Ransom picture Mark Ransom · Oct 15, 2010

Building on my answer to a similar question.

You need to break the hex code into 3 pieces to get the individual red, green, and blue intensities. Each 2 digits of the code represent a value in hexadecimal (base-16) notation. I won't get into the details of the conversion here, they're easy to look up.

Once you have the intensities for the individual colors, you can determine the overall intensity of the color and choose the corresponding text.

if (red*0.299 + green*0.587 + blue*0.114) > 186 use #000000 else use #ffffff

The threshold of 186 is based on theory, but can be adjusted to taste. Based on the comments below a threshold of 150 may work better for you.


Edit: The above is simple and works reasonably well, and seems to have good acceptance here at StackOverflow. However, one of the comments below shows it can lead to non-compliance with W3C guidelines in some circumstances. Herewith I derive a modified form that always chooses the highest contrast based on the guidelines. If you don't need to conform to W3C rules then I'd stick with the simpler formula above.

The formula given for contrast in the W3C Recommendations is (L1 + 0.05) / (L2 + 0.05), where L1 is the luminance of the lightest color and L2 is the luminance of the darkest on a scale of 0.0-1.0. The luminance of black is 0.0 and white is 1.0, so substituting those values lets you determine the one with the highest contrast. If the contrast for black is greater than the contrast for white, use black, otherwise use white. Given the luminance of the color you're testing as L the test becomes:

if (L + 0.05) / (0.0 + 0.05) > (1.0 + 0.05) / (L + 0.05) use #000000 else use #ffffff

This simplifies down algebraically to:

if L > sqrt(1.05 * 0.05) - 0.05

Or approximately:

if L > 0.179 use #000000 else use #ffffff

The only thing left is to compute L. That formula is also given in the guidelines and it looks like the conversion from sRGB to linear RGB followed by the ITU-R recommendation BT.709 for luminance.

for each c in r,g,b:
    c = c / 255.0
    if c <= 0.03928 then c = c/12.92 else c = ((c+0.055)/1.055) ^ 2.4
L = 0.2126 * r + 0.7152 * g + 0.0722 * b

The threshold of 0.179 should not be changed since it is tied to the W3C guidelines. If you find the results not to your liking, try the simpler formula above.