ここからも、その数学を非常によく説明しています。
これは基本的には、HSL（色相飽和明度）との間で変換する関数の集まりです
テスト済み、PHP 5.6.15での作業
TL; DR：完全なコードはPastebinにあります。
16進数からHSL
入力：16進数の形式：[＃] 0f4または[＃] 00ff44（ポンド記号はオプション）
出力：度、パーセント、パーセントでのHSL
/**
* Input: hex color
* Output: hsl(in ranges from 0-1)
*
* Takes the hex, converts it to RGB, and sends
* it to RGBToHsl. Returns the output.
*
*/
function hexToHsl($hex) {
$r = "";
$g = "";
$b = "";
$hex = str_replace('#', '', $hex);
if (strlen($hex) == 3) {
$r = substr($hex, 0, 1);
$r = $r . $r;
$g = substr($hex, 1, 1);
$g = $g . $g;
$b = substr($hex, 2, 1);
$b = $b . $b;
} elseif (strlen($hex) == 6) {
$r = substr($hex, 0, 2);
$g = substr($hex, 2, 2);
$b = substr($hex, 4, 2);
} else {
return false;
}
$r = hexdec($r);
$g = hexdec($g);
$b = hexdec($b);
$hsl = rgbToHsl($r,$g,$b);
return $hsl;
}
RGBからHSL
入力：0〜255の範囲のRGB出力：度、パーセント、パーセントのHSL。
/**
*
*Credits:
* /programming/4793729/rgb-to-hsl-and-back-calculation-problems
* http://www.niwa.nu/2013/05/math-behind-colorspace-conversions-rgb-hsl/
*
* Called by hexToHsl by default.
*
* Converts an RGB color value to HSL. Conversion formula
* adapted from http://www.niwa.nu/2013/05/math-behind-colorspace-conversions-rgb-hsl/.
* Assumes r, g, and b are contained in the range [0 - 255] and
* returns h, s, and l in the format Degrees, Percent, Percent.
*
* @param Number r The red color value
* @param Number g The green color value
* @param Number b The blue color value
* @return Array The HSL representation
*/
function rgbToHsl($r, $g, $b){
//For the calculation, rgb needs to be in the range from 0 to 1. To convert, divide by 255 (ff).
$r /= 255;
$g /= 255;
$b /= 255;
$myMax = max($r, $g, $b);
$myMin = min($r, $g, $b);
$maxAdd = ($myMax + $myMin);
$maxSub = ($myMax - $myMin);
//luminence is (max + min)/2
$h = 0;
$s = 0;
$l = ($maxAdd / 2.0);
//if all the numbers are equal, there is no saturation (greyscale).
if($myMin != $myMax){
if ($l < 0.5) {
$s = ($maxSub / $maxAdd);
} else {
$s = (2.0 - $myMax - $myMin); //note order of opperations - can't use $maxSub here
$s = ($maxSub / $s);
}
//find hue
switch($myMax){
case $r:
$h = ($g - $b);
$h = ($h / $maxSub);
break;
case $g:
$h = ($b - $r);
$h = ($h / $maxSub);
$h = ($h + 2.0);
break;
case $b:
$h = ($r - $g);
$h = ($h / $maxSub);
$h = ($h + 4.0);
break;
}
}
$hsl = hslToDegPercPerc($h, $s, $l);
return $hsl;
}
HSL（0-1の範囲）から度、パーセント、パーセント形式
数学の計算では、HSLは0〜1の範囲で処理する方が簡単ですが、人間が読みやすくするために、度、パーセント、パーセントでは簡単です。この関数は、範囲0〜1のHSLを取り、度、パーセント、パーセントでHSLを返します。
/**
* Input: HSL in ranges 0-1.
* Output: HSL in format Deg, Perc, Perc.
*
* Note: rgbToHsl calls this function by default.
*
* Multiplies $h by 60, and $s and $l by 100.
*/
function hslToDegPercPerc($h, $s, $l) {
//convert h to degrees
$h *= 60;
if ($h < 0) {
$h += 360;
}
//convert s and l to percentage
$s *= 100;
$l *= 100;
$hsl['h'] = $h;
$hsl['s'] = $s;
$hsl['l'] = $l;
return $hsl;
}
HSL（度、パーセント、パーセント形式）から0-1の範囲のHSL
この関数は、計算を容易にするために、度、パーセント、パーセントの形式のHSLを0〜1の範囲に変換します。
/**
* Input: HSL in format Deg, Perc, Perc
* Output: An array containing HSL in ranges 0-1
*
* Divides $h by 60, and $s and $l by 100.
*
* hslToRgb calls this by default.
*/
function degPercPercToHsl($h, $s, $l) {
//convert h, s, and l back to the 0-1 range
//convert the hue's 360 degrees in a circle to 1
$h /= 360;
//convert the saturation and lightness to the 0-1
//range by multiplying by 100
$s /= 100;
$l /= 100;
$hsl['h'] = $h;
$hsl['s'] = $s;
$hsl['l'] = $l;
return $hsl;
}
HSLからRGB
入力：度、パーセント、パーセントの形式のHSL出力：形式のRGB 255, 255, 255。
/**
* Converts an HSL color value to RGB. Conversion formula
* adapted from http://www.niwa.nu/2013/05/math-behind-colorspace-conversions-rgb-hsl/.
* Assumes h, s, and l are in the format Degrees,
* Percent, Percent, and returns r, g, and b in
* the range [0 - 255].
*
* Called by hslToHex by default.
*
* Calls:
* degPercPercToHsl
* hueToRgb
*
* @param Number h The hue value
* @param Number s The saturation level
* @param Number l The luminence
* @return Array The RGB representation
*/
function hslToRgb($h, $s, $l){
$hsl = degPercPercToHsl($h, $s, $l);
$h = $hsl['h'];
$s = $hsl['s'];
$l = $hsl['l'];
//If there's no saturation, the color is a greyscale,
//so all three RGB values can be set to the lightness.
//(Hue doesn't matter, because it's grey, not color)
if ($s == 0) {
$r = $l * 255;
$g = $l * 255;
$b = $l * 255;
}
else {
//calculate some temperary variables to make the
//calculation eaisier.
if ($l < 0.5) {
$temp2 = $l * (1 + $s);
} else {
$temp2 = ($l + $s) - ($s * $l);
}
$temp1 = 2 * $l - $temp2;
//run the calculated vars through hueToRgb to
//calculate the RGB value. Note that for the Red
//value, we add a third (120 degrees), to adjust
//the hue to the correct section of the circle for
//red. Simalarly, for blue, we subtract 1/3.
$r = 255 * hueToRgb($temp1, $temp2, $h + (1 / 3));
$g = 255 * hueToRgb($temp1, $temp2, $h);
$b = 255 * hueToRgb($temp1, $temp2, $h - (1 / 3));
}
$rgb['r'] = $r;
$rgb['g'] = $g;
$rgb['b'] = $b;
return $rgb;
}
RGBの色相
この関数はhslToRgbによって呼び出され、色相を個別のRGB値に変換します。
/**
* Converts an HSL hue to it's RGB value.
*
* Input: $temp1 and $temp2 - temperary vars based on
* whether the lumanence is less than 0.5, and
* calculated using the saturation and luminence
* values.
* $hue - the hue (to be converted to an RGB
* value) For red, add 1/3 to the hue, green
* leave it alone, and blue you subtract 1/3
* from the hue.
*
* Output: One RGB value.
*
* Thanks to Easy RGB for this function (Hue_2_RGB).
* http://www.easyrgb.com/index.php?X=MATH&$h=19#text19
*
*/
function hueToRgb($temp1, $temp2, $hue) {
if ($hue < 0) {
$hue += 1;
}
if ($hue > 1) {
$hue -= 1;
}
if ((6 * $hue) < 1 ) {
return ($temp1 + ($temp2 - $temp1) * 6 * $hue);
} elseif ((2 * $hue) < 1 ) {
return $temp2;
} elseif ((3 * $hue) < 2 ) {
return ($temp1 + ($temp2 - $temp1) * ((2 / 3) - $hue) * 6);
}
return $temp1;
}
HSLから16進数
入力：HSL形式の度、パーセント、パーセント出力：16進形式00ff22（ポンド記号なし）。
RGBに変換してから、個別に16進数に変換します。
/**
* Converts HSL to Hex by converting it to
* RGB, then converting that to hex.
*
* string hslToHex($h, $s, $l[, $prependPound = true]
*
* $h is the Degrees value of the Hue
* $s is the Percentage value of the Saturation
* $l is the Percentage value of the Lightness
* $prependPound is a bool, whether you want a pound
* sign prepended. (optional - default=true)
*
* Calls:
* hslToRgb
*
* Output: Hex in the format: #00ff88 (with
* pound sign). Rounded to the nearest whole
* number.
*/
function hslToHex($h, $s, $l, $prependPound = true) {
//convert hsl to rgb
$rgb = hslToRgb($h,$s,$l);
//convert rgb to hex
$hexR = $rgb['r'];
$hexG = $rgb['g'];
$hexB = $rgb['b'];
//round to the nearest whole number
$hexR = round($hexR);
$hexG = round($hexG);
$hexB = round($hexB);
//convert to hex
$hexR = dechex($hexR);
$hexG = dechex($hexG);
$hexB = dechex($hexB);
//check for a non-two string length
//if it's 1, we can just prepend a
//0, but if it is anything else non-2,
//it must return false, as we don't
//know what format it is in.
if (strlen($hexR) != 2) {
if (strlen($hexR) == 1) {
//probably in format #0f4, etc.
$hexR = "0" . $hexR;
} else {
//unknown format
return false;
}
}
if (strlen($hexG) != 2) {
if (strlen($hexG) == 1) {
$hexG = "0" . $hexG;
} else {
return false;
}
}
if (strlen($hexB) != 2) {
if (strlen($hexB) == 1) {
$hexB = "0" . $hexB;
} else {
return false;
}
}
//if prependPound is set, will prepend a
//# sign to the beginning of the hex code.
//(default = true)
$hex = "";
if ($prependPound) {
$hex = "#";
}
$hex = $hex . $hexR . $hexG . $hexB;
return $hex;
}