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December 31, 2015 02:49
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Roman numeral conversion. Took about 25 minutes, with tests!
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def to_roman(i) | |
if i > 999 or i < 1 | |
raise "Input not supported" | |
end | |
i_ones = i % 10 | |
i_tens = (i % 100)/10 | |
i_hundreds = i/100 | |
return HUNDREDS[i_hundreds] + TENS[i_tens] + ONES[i_ones] | |
end | |
def to_arabic(i) | |
if i.match /[^ivxlcdm]+$/ # TODO : better check | |
raise "Input not supported: #{i} contains invalid characters" | |
end | |
if !matches = i.scan(/^([mdc]*)?([xlc]*)([ivx]*)$/).first | |
raise "Input not supported: #{i} is out of range" | |
end | |
i_hundreds, i_tens, i_ones = matches | |
return 100 * HUNDREDS.index(i_hundreds) + 10 * TENS.index(i_tens) + ONES.index(i_ones) | |
end | |
ONES = [""] + %w{i ii iii iv v vi vii viii ix} | |
TENS = [""] + %w{x xx xxx xl l lx lxx lxxx xc} | |
HUNDREDS = [""] + %w{c cc ccc cd d dc dcc dccc cm} | |
TESTS = %w{8 viii 33 xxxiii 545 dxlv 1 i 49 xlix 929 cmxxix} | |
Hash[*TESTS].each do |k,v| | |
k = k.to_i | |
if to_roman(k) != v | |
puts "FAILURE: to_roman(#{k}) should be #{v}, got #{to_roman(k)}" | |
end | |
if to_arabic(v) != k | |
puts "FAILURE: to_arabic(#{v}) should be #{k}, got #{to_arabic(v)}" | |
end | |
end | |
# Was this useful? YES! It caught a type which caused to_roman(700) => cc. | |
(1..999).select{|i| i != to_arabic(to_roman(i)) }.each do |i| | |
puts "FAILURE: to_arabic(to_roman(#{i})) is #{to_arabic(to_roman(i))}" | |
end |
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