Convert decimal number to rational: Difference between revisions
Convert decimal number to rational (view source)
Revision as of 22:15, 1 November 2021
, 2 years ago→{{header|AppleScript}}: Tidied, updated output.
(add fermat) |
m (→{{header|AppleScript}}: Tidied, updated output.) |
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=={{header|AppleScript}}==
<lang applescript>
script ratioString▼
-- Using a tolerance epsilon of 1/10000▼
on |λ|(x)▼
showRatio(approxRatio(1.0E-4, x))▼
end |λ|▼
end script▼
map(ratioString, ¬▼
{0.9054054, 0.518518, 0.75})▼
end run▼
-- approxRatio :: Real -> Real -> Ratio
on approxRatio(epsilon, n)
if {real, integer} contains (class of epsilon) and 0 < epsilon then
-- Given
set e to epsilon
else
-- Default
set e to 1 / 10000
end if
Line 239 ⟶ 227:
--
on run
▲ script ratioString
▲ -- Using a tolerance epsilon of 1/10000
▲ on |λ|(x)
▲ (x as string) & " -> " & showRatio(approxRatio(1.0E-4, x))
▲ end |λ|
▲ end script
▲ unlines(map(ratioString, ¬
▲ {0.9054054, 0.518518, 0.75}))
-- 0.9054054 -> 67/74
-- 0.518518 -> 14/27
-- 0.75 -> 3/4
▲end run
-------------------- GENERIC FUNCTIONS -------------------
-- abs :: Num -> Num
Line 262 ⟶ 268:
end if
end mReturn
-- map :: (a -> b) -> [a] -> [b]
Line 273 ⟶ 280:
return lst
end tell
end map
-- unlines :: [String] -> String
on unlines(xs)
-- A single string formed by the intercalation
-- of a list of strings with the newline character.
set {dlm, my text item delimiters} to ¬
{my text item delimiters, linefeed}
set s to xs as text
set my text item delimiters to dlm
▲ s
end unlines</lang>
{{Out}}
<pre>
0.518518 -> 14/27
0.75 -> 3/4</pre>
=={{header|AutoHotkey}}==
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