-
-
Save olivmonnier/7a10e6649dea09473ce54ca751c8185e to your computer and use it in GitHub Desktop.
SCSS/SASS module calculating sin/cos/tan using Taylor Expansion.
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
/////////////////////////////////////////////////////////// | |
// Plain SASS Trigonometry Algorithm in Taylor Expansion // | |
// // | |
// Based on // | |
// http://japborst.net/posts/sass-sines-and-cosines // | |
/////////////////////////////////////////////////////////// | |
$pi: 3.14159265359; | |
$_precision: 10; | |
@function pow($base, $exp) { | |
$value: $base; | |
@if $exp > 1 { | |
@for $i from 2 through $exp { | |
$value: $value * $base; | |
} | |
} | |
@if $exp < 1{ | |
@for $i from 0 through -$exp { | |
$value: $value / $base; | |
} | |
} | |
@return $value; | |
} | |
@function fact($num) { | |
$fact: 1; | |
@if $num > 0{ | |
@for $i from 1 through $num { | |
$fact: $fact * $i; | |
} | |
} | |
@return $fact; | |
} | |
@function _to_unitless_rad($angle) { | |
@if unit($angle) == "deg" { | |
$angle: $angle / 180deg * $pi; | |
} | |
@if unit($angle) == "rad" { | |
$angle: $angle / 1rad; | |
} | |
@return $angle; | |
} | |
@function sin($angle){ | |
$a: _to_unitless_rad($angle); | |
$sin: $a; | |
@for $n from 1 through $_precision { | |
$sin: $sin + (pow(-1, $n) / fact(2 * $n + 1) ) * pow($a, (2 * $n + 1)); | |
} | |
@return $sin; | |
} | |
@function cos($angle){ | |
$a: _to_unitless_rad($angle); | |
$cos: 1; | |
@for $n from 1 through $_precision { | |
$cos: $cos + ( pow(-1,$n) / fact(2*$n) ) * pow($a,2*$n); | |
} | |
@return $cos; | |
} | |
@function tan($angle){ | |
@return sin($angle) / cos($angle); | |
} |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment