Commit d522cf78ecc96dfdefcadadbdd259f503861effb
1 parent
466367aa
reduce very large fractions close to a whole number to the whole number
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... | ... | @@ -86,7 +86,17 @@ impl Fractional { |
86 | 86 | #[inline] |
87 | 87 | pub fn reduce(self) -> Self { |
88 | 88 | let Fractional(n, d) = self; |
89 | - Self(n / hcf(n, d), d / hcf(n, d)) | |
89 | + let (_n, _d) = if n > d { (n, d) } else { (d, n) }; | |
90 | + | |
91 | + // if the difference from _n % _d to _n is very big we are close to | |
92 | + // a whole number and can ignore the fractional part... this reduces | |
93 | + // the precision but ensures smaller numbers for numerator and | |
94 | + // denominator. | |
95 | + if _d > 1 && (_n % _d) * 10000000 < _n { | |
96 | + Self(_n / _d, 1) | |
97 | + } else { | |
98 | + Self(n / hcf(n, d), d / hcf(n, d)) | |
99 | + } | |
90 | 100 | } |
91 | 101 | |
92 | 102 | #[inline] | ... | ... |
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