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sass calculations
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// Plain SASS Trigonometry Algorithm in Taylor Expansion | |
$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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