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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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