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kamikat/trig.scss

Last active Oct 31, 2020
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SCSS/SASS module calculating sin/cos/tan using Taylor Expansion.
///////////////////////////////////////////////////////////
// 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);
}
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