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Prime number in Sass.
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// ---- | |
// Sass (v3.3.9) | |
// Compass (v1.0.0.alpha.20) | |
// ---- | |
// Prime number | |
// https://en.wikipedia.org/wiki/Prime_number | |
// Returns whether `$n` is a prime number. | |
// --- | |
// @param {number} $n | |
// --- | |
// @return {bool} | |
@function is-prime($n) { | |
@if type-of($n) != number { | |
@warn "#{$n} is not a number for `is-prime`."; | |
@return null; | |
} | |
@if $n < 2 or $n != floor($n) { | |
@return false; | |
} | |
@if $n % 2 == 0 { @return $n == 2; } | |
@if $n % 3 == 0 { @return $n == 3; } | |
$i: 5; | |
$m: ceil(sqrt($n)); | |
@while $i <= $m { | |
@if $n % $i == 0 or $n % ($i + 2) == 0 { | |
@return false; | |
} | |
$i: $i + 6; | |
} | |
@return true; | |
} | |
// Returns the factorial of a non-negative integer. | |
// --- | |
// @param {number} $n: a non-negative integer | |
// --- | |
// @return {number} | |
@function fact($n) { | |
@if $n < 0 or $n != floor($n) { | |
@warn "#{$n} is not a positive integer for `fact`."; | |
@return null; | |
} | |
$ret: 1; | |
@while $n > 0 { | |
$ret: $ret * $n; | |
$n: $n - 1; | |
} | |
@return $ret; | |
} | |
// Returns whether `$n` is a prime number. | |
// --- | |
// @param {number} $n | |
// --- | |
// @return {bool} | |
@function _is-prime($n) { | |
@if type-of($n) != number { | |
@warn "#{$n} is not a number for `is-prime`."; | |
@return null; | |
} | |
@if $n < 2 or $n != floor($n) { | |
@return false; | |
} | |
@return fact($n - 1) % $n == $n - 1; | |
} | |
// Tests | |
is-prime { | |
$fixture: ( | |
7: true, | |
10: false, | |
37: true, | |
60: false, | |
373: true, | |
390: false, | |
1427: true, | |
1683: false, | |
7879: true, | |
7881: false, | |
// 2011: true, | |
// 9007199254740881: true | |
); | |
$tests: ''; | |
@each $num, $bool in $fixture { | |
$pass: is-prime($num) == $bool; | |
$tests: $tests + if($pass, '✔ ', 'X '); | |
} | |
is-prime: $tests; | |
$tests: ''; | |
@each $num, $bool in $fixture { | |
$pass: _is-prime($num) == $bool; | |
$tests: $tests + if($pass, '✔ ', 'X '); | |
} | |
_is-prime: $tests; | |
} |
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@charset "UTF-8"; | |
is-prime { | |
is-prime: "✔ ✔ ✔ ✔ ✔ ✔ ✔ ✔ ✔ ✔ "; | |
_is-prime: "✔ ✔ ✔ ✔ ✔ ✔ ✔ ✔ ✔ ✔ "; | |
} |
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