Created
October 30, 2024 00:47
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| toFraction : Float -> String | |
| toFraction f = | |
| let | |
| below = | |
| floor f | |
| above = | |
| ceiling f | |
| go budget ln ld un ud = | |
| let | |
| mn = | |
| ln + un | |
| md = | |
| ld + ud | |
| mid = | |
| toFloat mn / toFloat md | |
| in | |
| if budget <= 0 || mid == f then | |
| let | |
| g = | |
| gcd (abs mn) (abs md) | |
| gcd a b = | |
| if a < b then | |
| gcd b a | |
| else if b == 0 then | |
| a | |
| else | |
| gcd (modBy b a) b | |
| in | |
| if md // g == 1 then | |
| String.fromInt (mn // g) | |
| else | |
| String.fromInt (mn // g) ++ "/" ++ String.fromInt (md // g) | |
| else if f < mid then | |
| go (budget - 1) ln ld mn md | |
| else | |
| go (budget - 1) mn md un ud | |
| in | |
| go 100 below 1 above 1 | |
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