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// ---- | |
// Sass (v3.4.11) | |
// Compass (v1.0.3) | |
// ---- | |
@function math-pow($number, $exp) { | |
@if (round($exp) != $exp) { | |
@return math-exp($exp * math-ln($number)); | |
} | |
// Traditional method for integers | |
$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 $value; | |
} | |
@function math-factorial($value) { | |
@if $value == 0 { | |
@return 1; | |
} | |
$result: 1; | |
@for $index from 1 through $value { | |
$result: $result * $index; | |
} | |
@return $result; | |
} | |
@function math-summation($iteratee, $input, $initial: 0, $limit: 100) { | |
$sum: 0; | |
@for $index from $initial to $limit { | |
$sum: $sum + call($iteratee, $input, $index); | |
} | |
@return $sum; | |
} | |
@function math-exp-maclaurin($x, $n) { | |
$result: math-pow($x, $n) / math-factorial($n); | |
@return $result; | |
} | |
@function math-exp($value) { | |
$result: math-summation(math-exp-maclaurin, $value, 0, 100); | |
@return $result; | |
} | |
@function math-ln-maclaurin($x, $n) { | |
$result: (math-pow(-1, $n + 1) / $n) * (math-pow($x - 1, $n)); | |
@return $result; | |
} | |
@function math-ln($value) { | |
$ten-exp: 1; | |
$ln-ten: 2.30258509; | |
@while ($value > math-pow(10, $ten-exp)) { | |
$ten-exp: $ten-exp + 1; | |
} | |
$value: $value / math-pow(10, $ten-exp); | |
$result: math-summation(math-ln-maclaurin, $value, 1, 100); | |
@return $result + $ten-exp * $ln-ten; | |
} | |
.test { | |
input: 'math-pow(3, 2)'; | |
expected: 9; | |
actual: math-pow(3, 2); | |
input: 'math-pow(4, 3/2)'; | |
expected: 8; | |
actual: math-pow(4, 3/2); | |
input: 'math-pow(144, 1/2)'; | |
expected: 12; | |
actual: math-pow(144, 1/2); | |
input: 'math-pow(-3, 2)'; | |
expected: 9; | |
actual: math-pow(-3, 2); | |
input: 'math-pow(3, -2)'; | |
expected: 0.1111; | |
actual: math-pow(3, -2); | |
input: 'math-pow(64, -1/2)'; | |
expected: 0.125; | |
actual: math-pow(64, -1/2); | |
input: 'math-pow(12, 3.4)'; | |
expected: 4668.91789313; | |
actual: math-pow(12, 3.4); | |
} |
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.test { | |
input: 'math-pow(3, 2)'; | |
expected: 9; | |
actual: 9; | |
input: 'math-pow(4, 3/2)'; | |
expected: 8; | |
actual: 8.0; | |
input: 'math-pow(144, 1/2)'; | |
expected: 12; | |
actual: 12.0; | |
input: 'math-pow(-3, 2)'; | |
expected: 9; | |
actual: 9; | |
input: 'math-pow(3, -2)'; | |
expected: 0.1111; | |
actual: 0.11111; | |
input: 'math-pow(64, -1/2)'; | |
expected: 0.125; | |
actual: 0.125; | |
input: 'math-pow(12, 3.4)'; | |
expected: 4668.91789313; | |
actual: 4668.92127; | |
} |
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Thank you both :-)
@xi hope you don't mind me linking to your sass-planifolia repo :-)