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Color.md

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structure Color

type color = {red: real, green: real, blue: real, alpha: real}

The color type, in RGBA format. Each of red, green, blue, and alpha should be in the range [0,1]. The alpha value is for transparency: opaque at 1.0, and transparent at 0.0.

(* hue in range [0,360)
 *   0-------60-------120-------180-------240-------300-------360
 *   red   yellow    green      cyan      blue      purple    red
 *
 * saturation in range [0,1]
 *    0--------------1
 *   grayscale   vibrant
 *
 * value in range [0,1]
 *    0--------------1
 *   dark           light
 *
 * alpha in range [0,1]
 *    0--------------1
 *   transparent    opaque
 *)
val hsva: {h: real, s: real, v: real, a: real} -> color

Convert from HSVA to the color type. Hue h should be in the range [0,360). Saturation s, value v, and alpha a should be in the range [0,1].

val overlayColor: {fg: color, bg: color} -> color

Computes a new color by overlaying the (partially transparent) foreground color fg on top of the background color bg. If the foreground color is opaque, then the result is just the foreground color.

val colorToPixel: color -> pixel

Convert a color to a pixel. For transparency, the background is assumed to be white. (If a different background is desired, use overlayColor and pick an opaque background.)

val pixelToColor: pixel -> color

Convert a pixel to a color. The resulting color is opaque.

Pixels

type channel = Word8.word
type pixel = {red: channel, green: channel, blue: channel}

Pixels stored in RGB format, with three color channels (each with 256 distinct values).

(* hue in range [0,360)
 *   0-------60-------120-------180-------240-------300-------360
 *   red   yellow    green      cyan      blue      purple    red
 *
 * saturation in range [0,1]
 *    0--------------1
 *   grayscale   vibrant
 *
 * value in range [0,1]
 *    0--------------1
 *   dark           light
 *)
val hsv: {h: real, s: real, v: real} -> pixel

Convert from HSV format to the pixel type. Hue h should be in the range [0,360), and saturation s and value v should be in the range [0,1].

val white: pixel
val black: pixel
val red: pixel
val blue: pixel

A few colors.

val distance: pixel * pixel -> real
val approxHumanPerceptionDistance: pixel * pixel -> real

Various distance metrics between colors.

The distance function computes simple Euclidean distance, which is cheap to compute but does not accurately characterize human perceived distance.

The approxHumanPerceptionDistance function computes a decent approximation for the distance between colors, accounting for non-linearities in human perception. This is based on the low-cost approximation described here.