PHP function to convert HSL to RGB or Hex - php

Does anyone know a PHP function (for >5.3) which can convert an HSL color to either RGB or Hex? I've tried a dozen Google searches and none of the functions I have found work as expected.
It doesn't matter whether the function converts to RGB or hex because converting between those two is trivial. The inputs are HSL values for CSS (Hue: 0–360, Saturation: 0–100, Lightness: 0–100).
Edit: Specifying the input and output format would be a bonus :)

Taking the code from one of the answers in the link of Jim's comment (PHP HSV to RGB formula comprehension), we can compute it as follows:
<?php
$hue = 209;
$sat = 75;
$lum = 60;
$hue /= 360;
$sat /= 100;
$lum /= 100;
$result = ColorHSLToRGB($hue, $sat, $lum);
var_dump($result); echo '<br>';
printf("rgb = %d,%d,%d<br>", $result['r'], $result['g'], $result['b']);
function ColorHSLToRGB($h, $s, $l){
$r = $l;
$g = $l;
$b = $l;
$v = ($l <= 0.5) ? ($l * (1.0 + $s)) : ($l + $s - $l * $s);
if ($v > 0){
$m;
$sv;
$sextant;
$fract;
$vsf;
$mid1;
$mid2;
$m = $l + $l - $v;
$sv = ($v - $m ) / $v;
$h *= 6.0;
$sextant = floor($h);
$fract = $h - $sextant;
$vsf = $v * $sv * $fract;
$mid1 = $m + $vsf;
$mid2 = $v - $vsf;
switch ($sextant)
{
case 0:
$r = $v;
$g = $mid1;
$b = $m;
break;
case 1:
$r = $mid2;
$g = $v;
$b = $m;
break;
case 2:
$r = $m;
$g = $v;
$b = $mid1;
break;
case 3:
$r = $m;
$g = $mid2;
$b = $v;
break;
case 4:
$r = $mid1;
$g = $m;
$b = $v;
break;
case 5:
$r = $v;
$g = $m;
$b = $mid2;
break;
}
}
return array('r' => $r * 255.0, 'g' => $g * 255.0, 'b' => $b * 255.0);
}
?>
Output:
array(3) { ["r"]=> float(76.5) ["g"]=> float(155.55) ["b"]=> float(229.5) }
rgb = 76,155,229

Putting this together (which helped me produce this chart)
/**
* convert a HSL colorscheme to either Hexadecimal (default) or RGB.
*
* We want a method where we can programmatically generate a series of colors
* between two values (eg. red to green) which is easy to do with HSL because
* you just change the hue. (0 = red, 120 = green). You can use this function
* to convert those hsl color values to either the rgb or hexadecimal color scheme.
* e.g. You have
* hsl(50, 100%, 50%)
* To convert,
* $hex = convertHSL(50,100,50); // returns #ffd500
* or
* $rgb = convertHSL(50,100,50, false); // returns rgb(255, 213, 0)
*
* see https://coderwall.com/p/dvsxwg/smoothly-transition-from-green-to-red
* #param int $h the hue
* #param int $s the saturation
* #param int $l the luminance
* #param bool $toHex whether you want hexadecimal equivalent or rgb equivalent
* #return string usable in HTML or CSS
*/
function convertHSL($h, $s, $l, $toHex=true){
$h /= 360;
$s /=100;
$l /=100;
$r = $l;
$g = $l;
$b = $l;
$v = ($l <= 0.5) ? ($l * (1.0 + $s)) : ($l + $s - $l * $s);
if ($v > 0){
$m;
$sv;
$sextant;
$fract;
$vsf;
$mid1;
$mid2;
$m = $l + $l - $v;
$sv = ($v - $m ) / $v;
$h *= 6.0;
$sextant = floor($h);
$fract = $h - $sextant;
$vsf = $v * $sv * $fract;
$mid1 = $m + $vsf;
$mid2 = $v - $vsf;
switch ($sextant)
{
case 0:
$r = $v;
$g = $mid1;
$b = $m;
break;
case 1:
$r = $mid2;
$g = $v;
$b = $m;
break;
case 2:
$r = $m;
$g = $v;
$b = $mid1;
break;
case 3:
$r = $m;
$g = $mid2;
$b = $v;
break;
case 4:
$r = $mid1;
$g = $m;
$b = $v;
break;
case 5:
$r = $v;
$g = $m;
$b = $mid2;
break;
}
}
$r = round($r * 255, 0);
$g = round($g * 255, 0);
$b = round($b * 255, 0);
if ($toHex) {
$r = ($r < 15)? '0' . dechex($r) : dechex($r);
$g = ($g < 15)? '0' . dechex($g) : dechex($g);
$b = ($b < 15)? '0' . dechex($b) : dechex($b);
return "#$r$g$b";
} else {
return "rgb($r, $g, $b)";
}

My tests of all other implementations showed only weird and possibly unplausible results. Here is a PHP implementation of #Mohsen's code from https://stackoverflow.com/a/9493060/1598477. Plus a test to show the full beauty...
Sorry to cross-post this. But I really haven't seen any other implementation that gives the quality I needed.
/**
* Converts an HSL color value to RGB. Conversion formula
* adapted from http://en.wikipedia.org/wiki/HSL_color_space.
* Assumes h, s, and l are contained in the set [0, 1] and
* returns r, g, and b in the set [0, 255].
*
* #param {number} h The hue
* #param {number} s The saturation
* #param {number} l The lightness
* #return {Array} The RGB representation
*/
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 $p;
}
function hslToRgb($h, $s, $l){
if($s == 0){
$r = $l;
$g = $l;
$b = $l; // achromatic
}else{
$q = $l < 0.5 ? $l * (1 + $s) : $l + $s - $l * $s;
$p = 2 * $l - $q;
$r = hue2rgb($p, $q, $h + 1/3);
$g = hue2rgb($p, $q, $h);
$b = hue2rgb($p, $q, $h - 1/3);
}
return array(round($r * 255), round($g * 255), round($b * 255));
}
/* Uncomment to test * /
for ($i=0;$i<360;$i++) {
$rgb=hslToRgb($i/360, 1, .9);
echo '<div style="background-color:rgb(' .$rgb[0] . ', ' . $rgb[1] . ', ' . $rgb[2] . ');padding:2px;"></div>';
}
/* End Test */

The PEAR package Image_Color2 has methods to transform between color models - see convertTo.

Here is my solution
HSV value restrictions: $H [0-359], $S [0-100], $V [0-100]
function hsv_to_rgb($iH, $iS, $iV) {
if($iH < 0) $iH = 0;
if($iH > 360) $iH = 360;
if($iS < 0) $iS = 0;
if($iS > 100) $iS = 100;
if($iV < 0) $iV = 0;
if($iV > 100) $iV = 100;
$dS = $iS/100.0;
$dV = $iV/100.0;
$dC = $dV*$dS;
$dH = $iH/60.0;
$dT = $dH;
while($dT >= 2.0) $dT -= 2.0; // php modulus does not work with float
$dX = $dC*(1-abs($dT-1)); // as used in the Wikipedia link
switch($dH) {
case($dH >= 0.0 && $dH < 1.0):
$dR = $dC; $dG = $dX; $dB = 0.0; break;
case($dH >= 1.0 && $dH < 2.0):
$dR = $dX; $dG = $dC; $dB = 0.0; break;
case($dH >= 2.0 && $dH < 3.0):
$dR = 0.0; $dG = $dC; $dB = $dX; break;
case($dH >= 3.0 && $dH < 4.0):
$dR = 0.0; $dG = $dX; $dB = $dC; break;
case($dH >= 4.0 && $dH < 5.0):
$dR = $dX; $dG = 0.0; $dB = $dC; break;
case($dH >= 5.0 && $dH < 6.0):
$dR = $dC; $dG = 0.0; $dB = $dX; break;
default:
$dR = 0.0; $dG = 0.0; $dB = 0.0; break;
}
$dM = $dV - $dC;
$dR += $dM; $dG += $dM; $dB += $dM;
$dR *= 255; $dG *= 255; $dB *= 255;
return array(round($dR), round($dG), round($dB));
}

Copied from this SO Answer by Cullub.
This code worked perfectly to convert a user email to user avatar colour. After long hours of searching, I got the correct hex value similar to the one generated using javascript on the front end.
TL;DR: The full code can be found here on Pastebin.
/**
* convert user email to hsl for user avatar
* #param string $string
* #return string HEX color code
*/
function stringToColor($string)
{
$hash = 0;
$l = 70;
$s = 60;
for ($i = 0; $i < strlen($string); $i++) {
$hash = ord($string[$i]) + (($hash << 5) - $hash);
}
$h = fmod($hash, 360);
return $this->hslToHex($h, $s, $l, true);
}
/**
* Converts HSL to Hex by converting it to
* RGB, then converting that to hex.
*
* string hslToHex($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 = $this->hslToRgb($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 $hex;
}
/**
* Converts an HSL color value to RGB. Conversion formula
* adapted from http://www.niwa.nu/2013/05/math-behind-colorspace-conversions-rgb-hsl/.
* Assumes h, s, and l are in the format Degrees,
* Percent, Percent, and returns r, g, and b in
* the range [0 - 255].
*
* Called by hslToHex by default.
*
* Calls:
* degPercPercToHsl
* hueToRgb
*
* #param Number h The hue value
* #param Number s The saturation level
* #param Number l The luminence
* #return Array The RGB representation
*/
function hslToRgb($h, $s, $l)
{
//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;
$l /= 100;
//If there's no saturation, the color is a greyscale,
//so all three RGB values can be set to the lightness.
//(Hue doesn't matter, because it's grey, not color)
if ($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 * $this->hueToRgb($temp1, $temp2, $h + (1 / 3));
$g = 255 * $this->hueToRgb($temp1, $temp2, $h);
$b = 255 * $this->hueToRgb($temp1, $temp2, $h - (1 / 3));
}
$rgb['r'] = $r;
$rgb['g'] = $g;
$rgb['b'] = $b;
return $rgb;
// return "rgb($r, $g, $b)";
}
/**
* 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;
}

If you have decimal RGB values (enhzflep showed how to get them), you can easily get the #ab01cd hex web string:
$rgb['r'] = ($t = round($rgb['r'] * 255, 0)) < 15 ? '0'.dechex($t) : dechex($t);
$rgb['g'] = ($t = round($rgb['g'] * 255, 0)) < 15 ? '0'.dechex($t) : dechex($t);
$rgb['b'] = ($t = round($rgb['b'] * 255, 0)) < 15 ? '0'.dechex($t) : dechex($t);
$hexweb = "#".$rgb['r'].$rgb['g'].$rgb['b'];

Related

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how to convert below panaroma image to cube iamges in php?
I used imagick, js code and ... but do not result.
main image
please help me
thanks
After much effort ...
I got the right result
my final code:
# get x,y,z coords from out image pixels coords
# i,j are pixel coords
# faceIdx is face number
# faceSize is edge length
function outImgToXYZ($i, $j, $faceIdx, $faceSize)
{
$a = 2.0 * (float) $i / $faceSize;
$b = 2.0 * (float) $j / $faceSize;
switch ($faceIdx)
{
case 0: return [-1.0, 1.0 - $a, 3.0 - $b]; break; # back
case 1: return [$a - 3.0, -1.0, 3.0 - $b]; break; # left
case 2: return [1.0, $a - 5.0, 3.0 - $b]; break; # front
case 3: return [7.0 - $a, 1.0, 3.0 - $b]; break; # right
case 4: return [$b - 1.0, $a - 5.0, 1.0]; break; # top
case 5: return [5.0 - $b, $a - 5.0, -1.0]; break; # bottom
}
return [0, 0, 0];
}
function clip($x, $min, $max)
{
if ($x > $max) return $max;
if ($x < $min) return $min;
return $x;
}
# convert using an inverse transformation
function convertFace($imgIn, $imgInWidth, $imgInHeight, $imgOut, $imgOutWidth, $imgOutHeight)
{
$pi = pi();
$edge = $imgInWidth / 4;
$face = 0;
$face2 = 0;
$rng = null;
for($xOut = 0; $xOut <= $imgOutWidth; $xOut++)
{
$face = floor($xOut / $edge); // 0 - back, 1 - left 2 - front, 3 - right
if ($face === 2) $rng = range(0, $edge * 3, 1);
else $rng = range($edge, $edge * 2, 1);
for($yOut =0; $yOut <= $imgOutHeight; $yOut++)
{
if ($yOut < $edge) $face2 = 4; // top
else if ($yOut >= 2 * $edge) $face2 = 5; // bottom
else $face2 = $face;
list($x, $y, $z) = outImgToXYZ($xOut, $yOut, $face2, $edge);
$theta = atan2($y, $x);
$r = hypot($x, $y);
$phi = atan2($z, $r);
# source img coords
$uf = 2.0 * $edge * ($theta + $pi) / $pi;
$vf = 2.0 * $edge * ($pi / 2 - $phi) / $pi;
# Use bilinear interpolation between the four surrounding pixels
$ui = floor($uf); # coord of pixel to bottom left
$vi = floor($vf);
$u2 = $ui + 1; # coords of pixel to top right
$v2 = $vi + 1;
$mu = $uf - $ui; # fraction of way across pixel
$nu = $vf - $vi;
# Pixel values of four corners
$a = imagecolorsforindex($imgIn, imagecolorat($imgIn, $ui % $imgInWidth, clip($vi, 0, $imgInHeight - 1)));
$b = imagecolorsforindex($imgIn, imagecolorat($imgIn, $u2 % $imgInWidth, clip($vi, 0, $imgInHeight - 1)));
$c = imagecolorsforindex($imgIn, imagecolorat($imgIn, $ui % $imgInWidth, clip($v2, 0, $imgInHeight - 1)));
$d = imagecolorsforindex($imgIn, imagecolorat($imgIn, $u2 % $imgInWidth, clip($v2, 0, $imgInHeight - 1)));
# interpolate
list($r, $g, $b) =
[
$a["red"] * (1 - $mu) * (1 - $nu) + $b["red"] * ($mu) * (1 - $nu) + $c["red"] * (1 - $mu) * $nu + $d["red"] * $mu * $nu,
$a["green"] * (1 - $mu) * (1 - $nu) + $b["green"] * ($mu) * (1 - $nu) + $c["green"] * (1 - $mu) * $nu + $d["green"] * $mu * $nu,
$a["blue"] * (1 - $mu) * (1 - $nu) + $b["blue"] * ($mu) * (1 - $nu) + $c["blue"] * (1 - $mu) * $nu + $d["blue"] * $mu * $nu
];
imagesetpixel($imgOut, $xOut, $yOut, imagecolorallocate($imgOut, (int) round($r), (int) round($g), (int) round($b)));
}
}
return $imgOut;
}
// start convert
$imgInPath = "./main.jpg";
$imgIn = imagecreatefromjpeg($imgInPath);
$imgInSize = getimagesize($imgInPath);
$imgInWidth = $imgInSize[0];
$imgInHeight = $imgInSize[1];
$imgOutWidthHeight = $imgInWidth / 4;
$imgOutFullWidth = $imgInWidth;
$imgOutFullHeight = $imgInWidth * 3 / 4;
$imgFormat = "jpg";
$imgOut = imagecreate($imgOutFullWidth, $imgOutFullHeight);
imagefill($imgOut, 0, 0, imagecolorallocate($imgOut, 0, 0, 0));
imagejpeg($imgOut, "./temp.jpg", 100);
$imgOut = imagecreatefromjpeg("./temp.jpg");
imagefill($imgOut, 0, 0, imagecolorallocate($imgOut, 0, 0, 0));
$imgOut = convertFace($imgIn, $imgInWidth, $imgInHeight, $imgOut, $imgOutFullWidth, $imgOutFullHeight);
imagejpeg($imgOut, "./temp.jpg", 100);
imagedestroy($imgOut);
$faceNames = [['', '', 'top', ''], ['left', 'front', 'right', 'back'], ['', '', 'bottom', '']];
for($i = 0; $i < 3; $i++)
{
for($j = 0; $j < 4; $j++)
{
$faceName = $faceNames[$i][$j];
if($faceName != "")
{
$im = imagecreatefromjpeg("temp.jpg");
$im2 = imagecrop($im, ["x" => ($j * $imgOutWidthHeight), "y" => ($i * $imgOutWidthHeight), "width" => $imgOutWidthHeight, "height" => $imgOutWidthHeight]);
if($im2 !== FALSE)
{
imagejpeg($im2, "main_$faceName.jpg", 100);
imagedestroy($im2);
}
imagedestroy($im);
}
}
}
unlink("./temp.jpg");

PHP function to convert Hex to HSL (Not HSL to Hex)

Does anyone know how to convert a Hex color to HSL in PHP? I've searched but the functions that I’ve found don’t convert precisely the color.
I think the mistake in the second answer is using integer division rather than fmod() when calculating the hue when red is the maximum colour value $hue = (($green - $blue) / $delta) % 6;
I think the mistake in the first answer is in the saturation calculation -
for me $s = $l > 0.5 ? $diff / (2 - $max - $min) : $diff / ($max + $min); is a bit confusing to unpick
Since usually when I want to convert RGB to HSL I want to adjust the lightness value to make a lighter or darker version of the same colour, I have built that into the function below by adding an optional $ladj percent value.
The $hex parameter can be either a hex string (with or without the '#') or an array of RGB values (between 0 and 255)
The return value is an HSL string ready to drop straight in to a CSS colour. ie the values are from 0 to 359 for hue and 0 to 100% for saturation and lightness.
I think this works correctly (based on https://gist.github.com/brandonheyer/5254516)
function hex2hsl($RGB, $ladj = 0) {
//have we got an RGB array or a string of hex RGB values (assume it is valid!)
if (!is_array($RGB)) {
$hexstr = ltrim($RGB, '#');
if (strlen($hexstr) == 3) {
$hexstr = $hexstr[0] . $hexstr[0] . $hexstr[1] . $hexstr[1] . $hexstr[2] . $hexstr[2];
}
$R = hexdec($hexstr[0] . $hexstr[1]);
$G = hexdec($hexstr[2] . $hexstr[3]);
$B = hexdec($hexstr[4] . $hexstr[5]);
$RGB = array($R,$G,$B);
}
// scale the RGB values to 0 to 1 (percentages)
$r = $RGB[0]/255;
$g = $RGB[1]/255;
$b = $RGB[2]/255;
$max = max( $r, $g, $b );
$min = min( $r, $g, $b );
// lightness calculation. 0 to 1 value, scale to 0 to 100% at end
$l = ( $max + $min ) / 2;
// saturation calculation. Also 0 to 1, scale to percent at end.
$d = $max - $min;
if( $d == 0 ){
// achromatic (grey) so hue and saturation both zero
$h = $s = 0;
} else {
$s = $d / ( 1 - abs( (2 * $l) - 1 ) );
// hue (if not grey) This is being calculated directly in degrees (0 to 360)
switch( $max ){
case $r:
$h = 60 * fmod( ( ( $g - $b ) / $d ), 6 );
if ($b > $g) { //will have given a negative value for $h
$h += 360;
}
break;
case $g:
$h = 60 * ( ( $b - $r ) / $d + 2 );
break;
case $b:
$h = 60 * ( ( $r - $g ) / $d + 4 );
break;
} //end switch
} //end else
// make any lightness adjustment required
if ($ladj > 0) {
$l += (1 - $l) * $ladj/100;
} elseif ($ladj < 0) {
$l += $l * $ladj/100;
}
//put the values in an array and scale the saturation and lightness to be percentages
$hsl = array( round( $h), round( $s*100), round( $l*100) );
//we could return that, but lets build a CSS compatible string and return that instead
$hslstr = 'hsl('.$hsl[0].','.$hsl[1].'%,'.$hsl[2].'%)';
return $hslstr;
}
In real life I would break out the hex string to RGB array conversion and the percentage adjustment into separate functions, but have included them here for completeness.
You could also use the percent adjustment to shift the hue or saturation once you've got the colour in HSL format.
function hexToHsl($hex) {
$hex = array($hex[0].$hex[1], $hex[2].$hex[3], $hex[4].$hex[5]);
$rgb = array_map(function($part) {
return hexdec($part) / 255;
}, $hex);
$max = max($rgb);
$min = min($rgb);
$l = ($max + $min) / 2;
if ($max == $min) {
$h = $s = 0;
} else {
$diff = $max - $min;
$s = $l > 0.5 ? $diff / (2 - $max - $min) : $diff / ($max + $min);
switch($max) {
case $rgb[0]:
$h = ($rgb[1] - $rgb[2]) / $diff + ($rgb[1] < $rgb[2] ? 6 : 0);
break;
case $rgb[1]:
$h = ($rgb[2] - $rgb[0]) / $diff + 2;
break;
case $rgb[2]:
$h = ($rgb[0] - $rgb[1]) / $diff + 4;
break;
}
$h /= 6;
}
return array($h, $s, $l);
}
Rewritten (and adjusted a bit) from javascript from https://css-tricks.com/converting-color-spaces-in-javascript/
<?php
function hexToHsl($hex)
{
$red = hexdec(substr($hex, 0, 2)) / 255;
$green = hexdec(substr($hex, 2, 2)) / 255;
$blue = hexdec(substr($hex, 4, 2)) / 255;
$cmin = min($red, $green, $blue);
$cmax = max($red, $green, $blue);
$delta = $cmax - $cmin;
if ($delta === 0) {
$hue = 0;
} elseif ($cmax === $red) {
$hue = (($green - $blue) / $delta) % 6;
} elseif ($cmax === $green) {
$hue = ($blue - $red) / $delta + 2;
} else {
$hue = ($red - $green) / $delta + 4;
}
$hue = round($hue * 60);
if ($hue < 0) {
$hue += 360;
}
$lightness = (($cmax + $cmin) / 2) * 100;
$saturation = $delta === 0 ? 0 : ($delta / (1 - abs(2 * $lightness - 1))) * 100;
if ($saturation < 0) {
$saturation += 100;
}
$lightness = round($lightness);
$saturation = round($saturation);
return "hsl(${hue}, ${saturation}%, ${lightness}%)";
}
Example:
<?php
echo hexToHsl('fbffe0'); // outputs 'hsl(68, 100%, 94%)'

Mandelbrot set won't render correctly

I am currently trying to make an animated Mandelbrot set visualisation. But right now it won't even render a single frame correctly.
I don't know where I made the mistake. I guess there is an error in the math.Will you please have a look at it?
Here is a how it looks right now:
Here is my mandelbrot function:
function mandelbrot($a, $b, $limit) {
$a_orig = $a;
$b_orig = $b;
$count = 0;
while(($count < $limit) && (sqrt(($a * $a) + ($b * $b)) <= 2)) {
$a = ($a * $a) - ($b * $b) + $a_orig;
$b = (2 * $a * $b) + $b_orig;
$count++;
}
return $count;
}
And here is the entire code:
<?php
function HSVtoRGB(array $hsv) {
list($H,$S,$V) = $hsv;
//1
$H *= 6;
//2
$I = floor($H);
$F = $H - $I;
//3
$M = $V * (1 - $S);
$N = $V * (1 - $S * $F);
$K = $V * (1 - $S * (1 - $F));
//4
switch ($I) {
case 0:
list($R,$G,$B) = array($V,$K,$M);
break;
case 1:
list($R,$G,$B) = array($N,$V,$M);
break;
case 2:
list($R,$G,$B) = array($M,$V,$K);
break;
case 3:
list($R,$G,$B) = array($M,$N,$V);
break;
case 4:
list($R,$G,$B) = array($K,$M,$V);
break;
case 5:
case 6: //for when $H=1 is given
list($R,$G,$B) = array($V,$M,$N);
break;
}
return array($R, $G, $B);
}
function mandelbrot($a, $b, $limit) {
$a_orig = $a;
$b_orig = $b;
$count = 0;
while(($count < $limit) && (sqrt(($a * $a) + ($b * $b)) <= 2)) {
$a = ($a * $a) - ($b * $b) + $a_orig;
$b = (2 * $a * $b) + $b_orig;
$count++;
}
return $count;
}
ini_set("max_execution_time", 0);
header ("Content-Type: image/gif");
$num_frames = 60;
$size = 1024;
$points = array($size);
$image = imagecreate($size, $size);
for($j = 0; $j <= $num_frames; $j++) {
$tmp_color = HSVtoRGB(array(($j + 1) / ($num_frames + 1), 1, 1));
$color[$j] = imagecolorallocate($image, $tmp_color[0] * 255, $tmp_color[1] * 255, $tmp_color[2] * 255);
}
for($x = 0; $x < $size; $x++) {
for($y = 0; $y < $size; $y++) {
imagesetpixel($image, $x, $y, $color[mandelbrot(-2 + ($x * 2.7 / ($size - 1)), -1.35 + ($y * 2.7 / ($size - 1)), $num_frames)]);
}
}
imagegif($image);
imagedestroy($image);
?>
Your complex number square is wrong. You are overwriting the old value of a where it is needed again in the computation of b. So save it in a temporary variable.
Also, the bailout value of 60 iterations is rather small, 200 would be more appropriate for this scale, for more detailed images it should be reasonably rapidly increase.
Use a*a+b*b < 4 instead of the unnecessary square root. One could re-use the values of a*a and b*b which would also solve the problem of the temporary variable.
norm=10
while ... and norm < 4
a2=a*a
b2=b*b
norm=a2+b2
b=2*a*b+b_orig
a=a2-b2+a_orig
end

Unexpected T_STRING error (PHP)

I can normally catch these easy, but......
function linear_regression($x, $y) {
// calculate number points
$n = count($x);
// ensure both arrays of points are the same size
if ($n != count($y)) {
trigger_error("linear_regression(): Number of elements in coordinate arrays do not match.", E_USER_ERROR);
}
// calculate sums
$x_sum = array_sum($x);
$y_sum = array_sum($y);
$xx_sum = 0;
$xy_sum = 0;
for($i = 0; $i < $n; $i++) {
$xy_sum+=($x[$i]*$y[$i]);
$xx_sum+=($x[$i]*$x[$i]);
}
// calculate slope
//$m = (($n * $xy_sum) - ($x_sum * $y_sum)) / (($n * $xx_sum) - ($x_sum * $x_sum));
$divisor = (($n * $xx_sum) – ($x_sum * $x_sum));
if ($divisor == 0){
$m = 0;
} else {
$m = (($n * $xy_sum) – ($x_sum * $y_sum)) / $divisor;
}
// calculate intercept
$b = ($y_sum - ($m * $x_sum)) / $n;
// return result
return array("m"=>$m, "b"=>$b);
}
var_dump( linear_regression(array(1, 2, 3, 4, 4), array(1.5, 1.6, 2.1, 3.0, 6)) );
The error is happening here $divisor = (($n * $xx_sum) – ($x_sum * $x_sum));
Any ideas why?
The minus sign is a fancy unicode dash (I think the em dash) instead of the regular ascii - character.
Don't ask me how I discovered that, but your "-" is not a real "-", is another character, but have the same apparence
Ok you didn't asked me, but I have discovered at http://writecodeonline.com/php/ , it doesn't recognize yours "-" character
Now working code with real "-", you can copy an paste, and see:
function linear_regression($x, $y) {
// calculate number points
$n = count($x);
// ensure both arrays of points are the same size
if ($n != count($y)) {
trigger_error("linear_regression(): Number of elements in coordinate arrays do not match.", E_USER_ERROR);
}
// calculate sums
$x_sum = array_sum($x);
$y_sum = array_sum($y);
$xx_sum = 0;
$xy_sum = 0;
for($i = 0; $i < $n; $i++) {
$xy_sum+=($x[$i]*$y[$i]);
$xx_sum+=($x[$i]*$x[$i]);
}
// calculate slope
//$m = (($n * $xy_sum) - ($x_sum * $y_sum)) / (($n * $xx_sum) - ($x_sum * $x_sum));
$divisor = (($n * $xx_sum) - ($x_sum * $x_sum));
if ($divisor == 0){
$m = 0;
} else {
$m = (($n * $xy_sum) - ($x_sum * $y_sum)) / $divisor;
}
// calculate intercept
$b = ($y_sum - ($m * $x_sum)) / $n;
// return result
return array("m"=>$m, "b"=>$b);
}
var_dump( linear_regression(array(1, 2, 3, 4, 4), array(1.5, 1.6, 2.1, 3.0, 6)) );
I retyped the offending line like this:
$divisor = (($n*$xx_sum)-($x_sum * $x_sum));
The error disappeared. After a bit of poking the error seems to be related to the minus sign in the middle. deleting it and retyping it seems to fix the problem.
See this fiddle:
Adam is right, but also, you didn’t close the for loop. Here try this.
Also, the minus sign was the wrong sign here:
$divisor = (($n * $xx_sum) - ($x_sum * $x_sum));
As well as here:
$m = (($n * $xy_sum) - ($x_sum * $y_sum)) / $divisor;
My cleaned up version of your function with the closed for loop in place as well here.
function linear_regression($x, $y) {
// calculate number points
$n = count($x);
// ensure both arrays of points are the same size
if ($n != count($y)) {
trigger_error("linear_regression(): Number of elements in coordinate arrays do not match.", E_USER_ERROR);
}
// calculate sums
$x_sum = array_sum($x);
$y_sum = array_sum($y);
$xx_sum = 0;
$xy_sum = 0;
for($i = 0; $i < $n; $i++) {
$xy_sum+=($x[$i]*$y[$i]);
$xx_sum+=($x[$i]*$x[$i]);
// calculate slope
//$m = (($n * $xy_sum) - ($x_sum * $y_sum)) / (($n * $xx_sum) - ($x_sum * $x_sum));
$divisor = (($n * $xx_sum) - ($x_sum * $x_sum));
if ($divisor == 0) {
$m = 0;
}
else {
$m = (($n * $xy_sum) - ($x_sum * $y_sum)) / $divisor;
}
// calculate intercept
$b = ($y_sum - ($m * $x_sum)) / $n;
}
// return result
return array("m"=>$m, "b"=>$b);
} // linear_regression

Rounding to the Nearest Ending Digits

I have the following function that rounds a number to the nearest number ending with the digits of $nearest, and I was wondering if there is a more elegant way of doing the same.
/**
* Rounds the number to the nearest digit(s).
*
* #param int $number
* #param int $nearest
* #return int
*/
function roundNearest($number, $nearest, $type = null)
{
$result = abs(intval($number));
$nearest = abs(intval($nearest));
if ($result <= $nearest)
{
$result = $nearest;
}
else
{
$ceil = $nearest - substr($result, strlen($result) - strlen($nearest));
$floor = $nearest - substr($result, strlen($result) - strlen($nearest)) - pow(10, strlen($nearest));
switch ($type)
{
case 'ceil':
$result += $ceil;
break;
case 'floor':
$result += $floor;
break;
default:
$result += (abs($ceil) <= abs($floor)) ? $ceil : $floor;
break;
}
}
if ($number < 0)
{
$result *= -1;
}
return $result;
}
Some examples:
roundNearest(86, 9); // 89
roundNearest(97, 9); // 99
roundNearest(97, 9, 'floor'); // 89
Thanks in advance!
PS: This question is not about rounding to the nearest multiple.
This works for me:
function roundToDigits($num, $suffix, $type = 'round') {
$pow = pow(10, floor(log($suffix, 10) + 1));
return $type(($num - $suffix) / $pow) * $pow + $suffix;
};
$type should be either "ceil", "floor", or "round"
I think this should work, and it's more elegant to me, at least:
function roundNearest($number, $nearest, $type = null)
{
if($number < 0)
return -roundNearest(-$number, $nearest, $type);
$nearest = abs($nearest);
if($number < $nearest)
return $nearest;
$len = strlen($nearest);
$pow = pow(10, $len);
$diff = $pow - $nearest;
if($type == 'ciel')
$adj = 0.5;
else if($type == 'floor')
$adj = -0.5;
else
$adj = 0;
return round(($number + $diff)/$pow + $adj)*$pow - $diff;
}
Edit: Added what I think you want from negative inputs.

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