// From https://github.com/heygrady/scss-blend-modes
// MIT license

//--------------------------------
// Normal
//--------------------------------
@function blend-normal ($foreground, $background) {
  $opacity: opacity($foreground);
  $background-opacity: opacity($background);

  // calculate opacity
  $bm-red: red($foreground) * $opacity + red($background) * $background-opacity * (1 - $opacity);
  $bm-green: green($foreground) * $opacity + green($background) * $background-opacity * (1 - $opacity);
  $bm-blue: blue($foreground) * $opacity + blue($background) * $background-opacity * (1 - $opacity);
  @return rgb($bm-red, $bm-green, $bm-blue);
}

//--------------------------------
// Multiply
//--------------------------------
@function blend-multiply ($foreground, $background) {
  $bm-red: red($background) * red($foreground) / 255;
  $bm-green: green($background) * green($foreground) / 255;
  $bm-blue: blue($background) * blue($foreground) / 255;

  @return blend-normal(rgba($bm-red, $bm-green, $bm-blue, opacity($foreground)), $background);
}

//--------------------------------
// Lighten
//--------------------------------
@function blend-lighten ($foreground, $background) {
  $bm-red: blend-lighten-color(red($foreground), red($background));
  $bm-green: blend-lighten-color(green($foreground), green($background));
  $bm-blue: blend-lighten-color(blue($foreground), blue($background));

  @return blend-normal(rgba($bm-red, $bm-green, $bm-blue, opacity($foreground)), $background);
}
@function blend-lighten-color($foreground, $background) {
  @if $background > $foreground {
    $foreground: $background;
  }
  @return $foreground;
}

//--------------------------------
// Darken
//--------------------------------
@function blend-darken ($foreground, $background) {
  $bm-red: blend-darken-color(red($foreground), red($background));
  $bm-green: blend-darken-color(green($foreground), green($background));
  $bm-blue: blend-darken-color(blue($foreground), blue($background));

  @return blend-normal(rgba($bm-red, $bm-green, $bm-blue, opacity($foreground)), $background);
}
@function blend-darken-color($foreground, $background) {
  @if $background < $foreground {
    $foreground: $background;
  }
  @return $foreground;
}

//--------------------------------
// Darker Color
//--------------------------------
@function blend-darkercolor ($foreground, $background) {
  $bm-red: red($foreground);
  $bm-green: green($foreground);
  $bm-blue: blue($foreground);
  $background-red: red($background);
  $background-green: green($background);
  $background-blue: blue($background);

  @if $background-red * 0.3 + $background-green * 0.59 + $background-blue * 0.11 <= $bm-red * 0.3 + $bm-green * 0.59 + $bm-blue * 0.11 {
    $bm-red: $background-red;
    $bm-green: $background-green;
    $bm-blue: $background-blue;
  }
  @return blend-normal(rgba($bm-red, $bm-green, $bm-blue, opacity($foreground)), $background);
}

//--------------------------------
// Lighter Color
//--------------------------------
@function blend-lightercolor ($foreground, $background) {
  $bm-red: red($foreground);
  $bm-green: green($foreground);
  $bm-blue: blue($foreground);
  $background-red: red($background);
  $background-green: green($background);
  $background-blue: blue($background);

  @if $background-red * 0.3 + $background-green * 0.59 + $background-blue * 0.11 > $bm-red * 0.3 + $bm-green * 0.59 + $bm-blue * 0.11 {
    $bm-red: $background-red;
    $bm-green: $background-green;
    $bm-blue: $background-blue;
  }
  @return blend-normal(rgba($bm-red, $bm-green, $bm-blue, opacity($foreground)), $background);
}

//--------------------------------
// Linear Dodge
//--------------------------------
@function blend-lineardodge ($foreground, $background) {
  $bm-red: blend-lineardodge-color(red($foreground), red($background));
  $bm-green: blend-lineardodge-color(green($foreground), green($background));
  $bm-blue: blend-lineardodge-color(blue($foreground), blue($background));

  @return blend-normal(rgba($bm-red, $bm-green, $bm-blue, opacity($foreground)), $background);
}
@function blend-lineardodge-color($foreground, $background) {
  @if $background + $foreground > 255 {
    $foreground: 255;
  }
  @else {
    $foreground: $background + $foreground;
  }
  @return $foreground;
}

//--------------------------------
// Linear Burn
//--------------------------------
@function blend-linearburn ($foreground, $background) {
  $bm-red: blend-linearburn-color(red($foreground), red($background));
  $bm-green: blend-linearburn-color(green($foreground), green($background));
  $bm-blue: blend-linearburn-color(blue($foreground), blue($background));

  @return blend-normal(rgba($bm-red, $bm-green, $bm-blue, opacity($foreground)), $background);
}
@function blend-linearburn-color($foreground, $background) {
  @if $background + $foreground < 255 {
    $foreground: 0;
  }
  @else {
    $foreground: $background + $foreground - 255;
  }
  @return $foreground;
}

//--------------------------------
// Difference
//--------------------------------
@function blend-difference ($foreground, $background) {
  $bm-red: abs(red($background) - red($foreground));
  $bm-green: abs(green($background) - green($foreground));
  $bm-blue: abs(blue($background) - blue($foreground));

  @return blend-normal(rgba($bm-red, $bm-green, $bm-blue, opacity($foreground)), $background);
}

//--------------------------------
// Screen
//--------------------------------
@function blend-screen ($foreground, $background) {
  $bm-red: blend-screen-color(red($foreground), red($background));
  $bm-green: blend-screen-color(green($foreground), green($background));
  $bm-blue: blend-screen-color(blue($foreground), blue($background));

  @return blend-normal(rgba($bm-red, $bm-green, $bm-blue, opacity($foreground)), $background);
}
@function blend-screen-color($foreground, $background) {
  @return (255 - ( ( (255 - $foreground) * (255 - $background)) / 256));
}

//--------------------------------
// Exclusion
//--------------------------------
@function blend-exclusion ($foreground, $background) {
  $bm-red: blend-exclusion-color(red($foreground), red($background));
  $bm-green: blend-exclusion-color(green($foreground), green($background));
  $bm-blue: blend-exclusion-color(blue($foreground), blue($background));

  @return blend-normal(rgba($bm-red, $bm-green, $bm-blue, opacity($foreground)), $background);
}
@function blend-exclusion-color($foreground, $background) {
  @return $background - ($background * (2 / 255) - 1) * $foreground;
}

//--------------------------------
// Overlay
//--------------------------------
@function blend-overlay ($foreground, $background) {
  $bm-red: blend-overlay-color(red($foreground), red($background));
  $bm-green: blend-overlay-color(green($foreground), green($background));
  $bm-blue: blend-overlay-color(blue($foreground), blue($background));

  @return blend-normal(rgba($bm-red, $bm-green, $bm-blue, opacity($foreground)), $background);
}
@function blend-overlay-color($foreground, $background) {
  @if $background <= 255 / 2 {
    $foreground: (2 * $background * $foreground) / 255;
  } @else {
    $foreground: 255 - (255 - 2 * ($background - (255 / 2))) * (255 - $foreground) / 255;
  }
  @return $foreground;
}

//--------------------------------
// Soft Light
//--------------------------------
@function blend-softlight ($foreground, $background) {
  $bm-red: blend-softlight-color(red($foreground), red($background));
  $bm-green: blend-softlight-color(green($foreground), green($background));
  $bm-blue: blend-softlight-color(blue($foreground), blue($background));

  @return blend-normal(rgba($bm-red, $bm-green, $bm-blue, opacity($foreground)), $background);
}
@function blend-softlight-color($foreground, $background) {
  @if $background < 128 {
    $foreground: (($foreground / 2) + 64) * $background * (2 / 255);
  } @else {
    $foreground: 255 - (191 - ($foreground / 2)) * (255 - $background) * (2 / 255);
  }
  @return $foreground;
}

//--------------------------------
// Hard Light
//--------------------------------
@function blend-hardlight ($foreground, $background) {
  $bm-red: blend-hardlight-color(red($foreground), red($background));
  $bm-green: blend-hardlight-color(green($foreground), green($background));
  $bm-blue: blend-hardlight-color(blue($foreground), blue($background));

  @return blend-normal(rgba($bm-red, $bm-green, $bm-blue, opacity($foreground)), $background);
}
@function blend-hardlight-color($foreground, $background) {
  $tmp-blend: $foreground;
  @if $tmp-blend < 128 {
    $foreground: $background * $tmp-blend * (2 / 255);
  } @else {
    $foreground: 255 - (255-$background) * (255-$tmp-blend) * (2 / 255);
  }
  @return $foreground;
}

//--------------------------------
// Color Dodge
//--------------------------------
@function blend-colordodge ($foreground, $background) {
  $bm-red: blend-colordodge-color(red($foreground), red($background));
  $bm-green: blend-colordodge-color(green($foreground), green($background));
  $bm-blue: blend-colordodge-color(blue($foreground), blue($background));

  @return blend-normal(rgba($bm-red, $bm-green, $bm-blue, opacity($foreground)), $background);
}
@function blend-colordodge-color($foreground, $background) {
  $tmp: $background * 256 / (255 - $foreground);
  @if $tmp > 255 or $foreground == 255 {
    $foreground: 255;
  } @else {
    $foreground: $tmp;
  }
  @return $foreground;
}

//--------------------------------
// Color Burn
//--------------------------------
@function blend-colorburn ($foreground, $background) {
  $bm-red: blend-colorburn-color(red($foreground), red($background));
  $bm-green: blend-colorburn-color(green($foreground), green($background));
  $bm-blue: blend-colorburn-color(blue($foreground), blue($background));

  @return blend-normal(rgba($bm-red, $bm-green, $bm-blue, opacity($foreground)), $background);
}
@function blend-colorburn-color($foreground, $background) {
  $tmp: (255 - ((255 - $background) * 255) / $foreground);

  // TODO: hacked to replicate photoshop
  @if $foreground == 0 {
    $foreground: 255;
  } @elseif $tmp < 0 {
    $foreground: 0;
  } @else {
    $foreground: $tmp;
  }
  @return $foreground;
}

//--------------------------------
// Linear Light
//--------------------------------
@function blend-linearlight ($foreground, $background) {
  $bm-red: blend-linearlight-color(red($foreground), red($background));
  $bm-green: blend-linearlight-color(green($foreground), green($background));
  $bm-blue: blend-linearlight-color(blue($foreground), blue($background));

  @return blend-normal(rgba($bm-red, $bm-green, $bm-blue, opacity($foreground)), $background);
}
@function blend-linearlight-color($foreground, $background) {
  @if $foreground < 128 {
    $foreground: blend-linearburn-color($background, 2 * $foreground);
  } @else {
    $foreground: blend-lineardodge-color($background, 2 * ($foreground - 128));
  }
  @return $foreground;
}

//--------------------------------
// Vivid Light
//--------------------------------
@function blend-vividlight ($foreground, $background) {
  $bm-red: blend-vividlight-color(red($foreground), red($background));
  $bm-green: blend-vividlight-color(green($foreground), green($background));
  $bm-blue: blend-vividlight-color(blue($foreground), blue($background));

  @return blend-normal(rgba($bm-red, $bm-green, $bm-blue, opacity($foreground)), $background);
}

@function blend-vividlight-color($foreground, $background) {
  @if $foreground < 128 {
    $foreground: blend-colorburn-color(2 * $foreground, $background);
  } @else {
    $foreground: blend-colordodge-color(2 * ($foreground - 128), $background);
  }
  @return $foreground;
}

//--------------------------------
// Pin Light
//--------------------------------
@function blend-pinlight ($foreground, $background) {
  $bm-red:   blend-pinlight-color(red($foreground), red($background));
  $bm-green: blend-pinlight-color(green($foreground), green($background));
  $bm-blue:  blend-pinlight-color(blue($foreground), blue($background));

  @return blend-normal(rgba($bm-red, $bm-green, $bm-blue, opacity($foreground)), $background);
}

@function blend-pinlight-color($foreground, $background) {
  @if $foreground < 128 {
    $foreground: blend-darken-color($background, 2 * $foreground);
  } @else {
    $foreground: blend-lighten-color($background, 2 * ($foreground - 128));
  }
  @return $foreground;
}

//--------------------------------
// Hard Mix
//--------------------------------
@function blend-hardmix ($foreground, $background) {
  $bm-red: blend-hardmix-color(red($foreground), red($background));
  $bm-green: blend-hardmix-color(green($foreground), green($background));
  $bm-blue: blend-hardmix-color(blue($foreground), blue($background));

  @return blend-normal(rgba($bm-red, $bm-green, $bm-blue, opacity($foreground)), $background);
}

@function blend-hardmix-color($foreground, $background) {
  $tmp: blend-vividlight-color($foreground, $background);
  @if $tmp < 128 {
    $foreground: 0;
  } @else {
    $foreground: 255;
  }
  @return $foreground;
}


// Unique to Photoshop

//--------------------------------
// Color Blend
//--------------------------------
@function blend-colorblend ($foreground, $background) {
  $foreground-hsv: color-to-hsv($foreground);
  $background-hsv: color-to-hsv($background);

  $bm-hsv: nth($foreground-hsv, 1), nth($foreground-hsv, 2), nth($background-hsv, 3);
  $bm-color: hsv-to-color($bm-hsv);
  
  @return blend-normal(rgba(red($bm-color), green($bm-color), blue($bm-color), opacity($foreground)), $background);
}

//--------------------------------
// Dissolve
//--------------------------------
@function blend-dissolve ($foreground, $background) {
  // The Dissolve blend mode acts on transparent and partially transparent pixels
  // it treats transparency as a pixel pattern and applies a diffusion dither pattern.
  // @see http://photoblogstop.com/photoshop/photoshop-blend-modes-explained
  @return $foreground;
}

//--------------------------------
// Divide
//--------------------------------
@function blend-divide ($foreground, $background) {
  $bm-red: blend-divide-colors(red($foreground), red($background));
  $bm-green: blend-divide-colors(green($foreground), green($background));
  $bm-blue:blend-divide-colors(blue($foreground), blue($background));

  @return blend-normal(rgba($bm-red, $bm-green, $bm-blue, opacity($foreground)), $background);
}
@function blend-divide-colors($foreground, $background) {
  @return min((($background / 255) / ($foreground / 255)) * 255, 255);
}

//--------------------------------
// Hue
//--------------------------------
@function blend-hue ($foreground, $background) {
  $foreground-hsv: color-to-hsv($foreground);
  $background-hsv: color-to-hsv($background);

  $bm-hsv: nth($foreground-hsv, 1), nth($background-hsv, 2), nth($background-hsv, 3);
  $bm-color: hsv-to-color($bm-hsv);

  @return blend-normal(rgba(red($bm-color), green($bm-color), blue($bm-color), opacity($foreground)), $background);
}

//--------------------------------
// Luminosity
//--------------------------------
@function blend-luminosity ($foreground, $background) {
  $foreground-hsv: color-to-hsv($foreground);
  $background-hsv: color-to-hsv($background);

  $bm-hsv: nth($background-hsv, 1), nth($background-hsv, 2), nth($foreground-hsv, 3);
  $bm-color: hsv-to-color($bm-hsv);
  
  @return blend-normal(rgba(red($bm-color), green($bm-color), blue($bm-color), opacity($foreground)), $background);
}

//--------------------------------
// Saturation
//--------------------------------
@function blend-saturation ($foreground, $background) {
  $foreground-hsv: color-to-hsv($foreground);
  $background-hsv: color-to-hsv($background);

  $bm-hsv: nth($background-hsv, 1), nth($foreground-hsv, 2), nth($background-hsv, 3);
  $bm-color: hsv-to-color($bm-hsv);
  
  @return blend-normal(rgba(red($bm-color), green($bm-color), blue($bm-color), opacity($foreground)), $background);
}

//--------------------------------
// Subtract
//--------------------------------
@function blend-subtract ($foreground, $background) {
  $bm-red: max(red($background) - red($foreground), 0);
  $bm-green: max(green($background) - green($foreground), 0);
  $bm-blue: max(blue($background) - blue($foreground), 0);

  @return blend-normal(rgba($bm-red, $bm-green, $bm-blue, opacity($foreground)), $background);
}

//--------------------------------
// HSL and HSV
//--------------------------------
// @see https://gist.github.com/1069204
@function hsv-to-hsl($h, $s: 0, $v: 0) {
  @if type-of($h) == 'list' {
    $v: nth($h, 3);
    $s: nth($h, 2);
    $h: nth($h, 1);
  }

  @if unit($h) == 'deg' {
    $h: 3.1415 * 2 * ($h / 360deg);
  }
  @if unit($s) == '%' {
    $s: 0 + ($s / 100%);
  }
  @if unit($v) == '%' {
    $v: 0 + ($v / 100%);
  }

  $ss: $s * $v;
  $ll: (2 - $s) * $v;

  @if $ll <= 1 {
    $ss: $ss / $ll;
  } @else if ($ll == 2) {
    $ss: 0;
  } @else {
    $ss: $ss / (2 - $ll);
  }

  $ll: $ll / 2;

  @return 360deg * $h / (3.1415 * 2), percentage(max(0, min(1, $ss))), percentage(max(0, min(1, $ll)));
}

@function hsl-to-hsv($h, $ss: 0, $ll: 0) {
  @if type-of($h) == 'list' {
    $ll: nth($h, 3);
    $ss: nth($h, 2);
    $h: nth($h, 1);
  } @else if type-of($h) == 'color' {
    $ll: lightness($h);
    $ss: saturation($h);
    $h: hue($h);
  }

  @if unit($h) == 'deg' {
    $h: 3.1415 * 2 * ($h / 360deg);
  }
  @if unit($ss) == '%' {
    $ss: 0 + ($ss / 100%);
  }
  @if unit($ll) == '%' {
    $ll: 0 + ($ll / 100%);
  }

  $ll: $ll * 2;

  @if $ll <= 1 {
    $ss: $ss * $ll;
  } @else {
    $ss: $ss * (2 - $ll);
  }

  $v: ($ll + $ss) / 2;
  $s: (2 * $ss) / ($ll + $ss);

  @return 360deg * $h / (3.1415 * 2), percentage(max(0, min(1, $s))), percentage(max(0, min(1, $v)));
}

@function color-to-hsv($color) {
  @return hsl-to-hsv($color);
}

@function hsv-to-color($h, $s: 0, $v: 0) {
  $hsl: hsv-to-hsl($h, $s, $v);
  @return hsl(nth($hsl, 1), nth($hsl, 2), nth($hsl, 3));
}