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helpers DecimalToFraction and FractionToDecimal

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This commit is contained in:
Kurt Riddlesperger 2020-01-29 13:18:44 -06:00
parent c266b53ff1
commit 4d79a94817
1 changed files with 59 additions and 0 deletions
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59
helpers/extensions.php
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@ -236,3 +236,62 @@ function string_ends_with($haystack, $needle)
return (substr($haystack, -$length) === $needle);
}
function FractionToDecimal($fraction)
{
// Split fraction into whole number and fraction components
preg_match('/^(?P<whole>\d+)?\s?((?P<numerator>\d+)\/(?P<denominator>\d+))?$/', $fraction, $components);
// Extract whole number, numerator, and denominator components
$whole = $components['whole'] ?: 0;
$numerator = $components['numerator'] ?: 0;
$denominator = $components['denominator'] ?: 0;
// Create decimal value
$decimal = $whole;
$numerator && $denominator && $decimal += ($numerator/$denominator);
return $decimal;
}
function DecimalToFraction($decimal)
{
// Determine decimal precision and extrapolate multiplier required to convert to integer
$precision = strpos(strrev($decimal), '.') ?: 0;
$multiplier = pow(10, $precision);
// Calculate initial numerator and denominator
$numerator = $decimal * $multiplier;
$denominator = 1 * $multiplier;
// Extract whole number from numerator
$whole = floor($numerator / $denominator);
$decimal = $decimal - $whole;
//round to manage 1/3
$tolerance = 1.e-4;
$h2 = 0;
$numerator = 1;
$denominator = 0;
$k2 = 1;
$b = 1 / $decimal;
do {
$b = 1 / $b;
$a = floor($b);
$aux = $numerator;
$numerator = $a * $numerator + $h2;
$h2 = $aux;
$aux = $denominator;
$denominator = $a * $denominator + $k2;
$k2 = $aux;
$b = $b - $a;
} while (abs($decimal - $numerator / $denominator) > $decimal * $tolerance);
// Create fraction value
$fraction = [];
$whole && $fraction[] = $whole;
$numerator && $fraction[] = "{$numerator}/{$denominator}";
return implode(' ', $fraction);
}