locomotive-boilerplate/assets/styles/tools/_maths.scss

// ==========================================================================
// Tools / Maths
// ==========================================================================

// Remove units from the given number
// @param  {number} $number The number with units
// @return {number}

@function strip-units($number) {
    @return $number / ($number * 0 + 1);
}

// Square root function
//
// @param  {string} $number     The number
// @return {string}             The sqrt number

@function sqrt($number) {
    $x: 1;
    $value: $x;
    @for $i from 1 through 10 {
    $value: $x - ($x * $x - abs($number)) / (2 * $x);
    $x: $value;
    }
    @return $value;
}

// Power function
//
// @param  {number} $number Number to apply power
// @param  {number} $exp    The exponant for the power
// @return {number}         The powered number

@function pow($number, $exp) {
    $value: 1;
    @if $exp > 0 {
        @for $i from 1 through $exp {
            $value: $value * $number;
        }
    } @else if $exp < 0 {
        @for $i from 1 through -$exp {
            $value: $value / $number;
        }
    }
    @return $value;
}

// Factorial function
//
// @param  {number} $number The number to factorize
// @return {number}         The factorised number

@function fact($number) {
    $value: 1;
    @if $number > 0 {
        @for $i from 1 through $number {
            $value: $value * $i;
        }
    }
    @return $value;
}

// Pi reference
//
// @return {number} Retrun PI with 11 decimals

@function pi() {
    @return 3.14159265359;
}

// Convert deg to rad
//
// @param  {string} $angle The angle to convert
// @return {number}        The unitless angle converted to rad

@function rad($angle) {
    $unit: unit($angle);
    $unitless: $angle / ($angle * 0 + 1);
    // If the angle has 'deg' as unit, convert to radians.
    @if $unit == deg {
        $unitless: $unitless / 180 * pi();
    }
    @return $unitless;
}

// Calculate the sinus of an angle
//
// @param  {string} $angle The angle to compute
// @return {number}        The sinus of the given angle

@function sin($angle) {
    $sin: 0;
    $angle: rad($angle);
    // Iterate a bunch of times.
    @for $i from 0 through 10 {
        $sin: $sin + pow(-1, $i) * pow($angle, (2 * $i + 1)) / fact(2 * $i + 1);
    }
    @return $sin;
}

// Calculate the cosinus of an angle
//
// @param  {string} $angle The angle to compute
// @return {number}        The cosinus of the given angle

@function cos($angle) {
    $cos: 0;
    $angle: rad($angle);
    // Iterate a bunch of times.
    @for $i from 0 through 10 {
        $cos: $cos + pow(-1, $i) * pow($angle, 2 * $i) / fact(2 * $i);
    }
    @return $cos;
}

// Calculate the tangent of an angle
//
// @param  {string} $angle The angle to compute
// @return {number}        The tangent of the given angle

@function tan($angle) {
    @return sin($angle) / cos($angle);
}