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2016 Update

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This commit is contained in:
Tina Müller 2016-12-05 22:15:40 +01:00
parent 948b86eafa
commit dcf5d15da3
7965 changed files with 139854 additions and 31002 deletions
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15
Task/Roman-numerals-Encode/Mathematica/roman-numerals-encode-1.math
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@ -1,10 +1,5 @@
RomanForm[i_Integer?Positive] :=
Module[{num = i, string = "", value, letters, digits},
digits = {{1000, "M"}, {900, "CM"}, {500, "D"}, {400, "CD"}, {100,
"C"}, {90, "XC"}, {50, "L"}, {40, "XL"}, {10, "X"}, {9,
"IX"}, {5, "V"}, {4, "IV"}, {1, "I"}};
While[num > 0, {value, letters} =
Which @@ Flatten[{num >= #[[1]], ##} & /@ digits, 1];
num -= value;
string = string <> letters;];
string]
RomanNumeral[4]
RomanNumeral[99]
RomanNumeral[1337]
RomanNumeral[1666]
RomanNumeral[6889]

10
Task/Roman-numerals-Encode/Mathematica/roman-numerals-encode-2.math
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@ -1,5 +1,5 @@
RomanForm[4]
RomanForm[99]
RomanForm[1337]
RomanForm[1666]
RomanForm[6889]
IV
XCIX
MCCCXXXVII
MDCLXVI
MMMMMMDCCCLXXXIX

57
Task/Roman-numerals-Encode/Mathematica/roman-numerals-encode-3.math
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@ -1,5 +1,52 @@
IV
XCIX
MCCCXXXVII
MDCLXVI
MMMMMMDCCCLXXXIX
:- module roman.
:- interface.
:- import_module io.
:- pred main(io::di, io::uo) is det.
:- implementation.
:- import_module char, int, list, string.
main(!IO) :-
command_line_arguments(Args, !IO),
filter(is_all_digits, Args, CleanArgs),
foldl((pred(Arg::in, !.IO::di, !:IO::uo) is det :-
( Roman = to_roman(Arg) ->
format("%s => %s", [s(Arg), s(Roman)], !IO), nl(!IO)
; format("%s cannot be converted.", [s(Arg)], !IO), nl(!IO) )
), CleanArgs, !IO).
:- func to_roman(string::in) = (string::out) is semidet.
to_roman(Number) = from_char_list(build_roman(reverse(to_char_list(Number)))).
:- func build_roman(list(char)) = list(char).
:- mode build_roman(in) = out is semidet.
build_roman([]) = [].
build_roman([D|R]) = Roman :-
map(promote, build_roman(R), Interim),
Roman = Interim ++ digit_to_roman(D).
:- func digit_to_roman(char) = list(char).
:- mode digit_to_roman(in) = out is semidet.
digit_to_roman('0') = [].
digit_to_roman('1') = ['I'].
digit_to_roman('2') = ['I','I'].
digit_to_roman('3') = ['I','I','I'].
digit_to_roman('4') = ['I','V'].
digit_to_roman('5') = ['V'].
digit_to_roman('6') = ['V','I'].
digit_to_roman('7') = ['V','I','I'].
digit_to_roman('8') = ['V','I','I','I'].
digit_to_roman('9') = ['I','X'].
:- pred promote(char::in, char::out) is semidet.
promote('I', 'X').
promote('V', 'L').
promote('X', 'C').
promote('L', 'D').
promote('C', 'M').
:- end_module roman.

62
Task/Roman-numerals-Encode/Mathematica/roman-numerals-encode-4.math
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@ -1,4 +1,4 @@
:- module roman.
:- module roman2.
:- interface.
@ -12,41 +12,37 @@
main(!IO) :-
command_line_arguments(Args, !IO),
filter(is_all_digits, Args, CleanArgs),
filter_map(to_int, Args, CleanArgs),
foldl((pred(Arg::in, !.IO::di, !:IO::uo) is det :-
( Roman = to_roman(Arg) ->
format("%s => %s", [s(Arg), s(Roman)], !IO), nl(!IO)
; format("%s cannot be converted.", [s(Arg)], !IO), nl(!IO) )
format("%i => %s",
[i(Arg), s(from_char_list(Roman))], !IO),
nl(!IO)
; format("%i cannot be converted.", [i(Arg)], !IO), nl(!IO) )
), CleanArgs, !IO).
:- func to_roman(string::in) = (string::out) is semidet.
to_roman(Number) = from_char_list(build_roman(reverse(to_char_list(Number)))).
:- func to_roman(int) = list(char).
:- mode to_roman(in) = out is semidet.
to_roman(N) = ( N >= 1000 ->
['M'] ++ to_roman(N - 1000)
;( N >= 100 ->
digit(N / 100, 'C', 'D', 'M') ++ to_roman(N rem 100)
;( N >= 10 ->
digit(N / 10, 'X', 'L', 'C') ++ to_roman(N rem 10)
;( N >= 1 ->
digit(N, 'I', 'V', 'X')
; [] ) ) ) ).
:- func build_roman(list(char)) = list(char).
:- mode build_roman(in) = out is semidet.
build_roman([]) = [].
build_roman([D|R]) = Roman :-
map(promote, build_roman(R), Interim),
Roman = Interim ++ digit_to_roman(D).
:- func digit(int, char, char, char) = list(char).
:- mode digit(in, in, in, in) = out is semidet.
digit(1, X, _, _) = [X].
digit(2, X, _, _) = [X, X].
digit(3, X, _, _) = [X, X, X].
digit(4, X, Y, _) = [X, Y].
digit(5, _, Y, _) = [Y].
digit(6, X, Y, _) = [Y, X].
digit(7, X, Y, _) = [Y, X, X].
digit(8, X, Y, _) = [Y, X, X, X].
digit(9, X, _, Z) = [X, Z].
:- func digit_to_roman(char) = list(char).
:- mode digit_to_roman(in) = out is semidet.
digit_to_roman('0') = [].
digit_to_roman('1') = ['I'].
digit_to_roman('2') = ['I','I'].
digit_to_roman('3') = ['I','I','I'].
digit_to_roman('4') = ['I','V'].
digit_to_roman('5') = ['V'].
digit_to_roman('6') = ['V','I'].
digit_to_roman('7') = ['V','I','I'].
digit_to_roman('8') = ['V','I','I','I'].
digit_to_roman('9') = ['I','X'].
:- pred promote(char::in, char::out) is semidet.
promote('I', 'X').
promote('V', 'L').
promote('X', 'C').
promote('L', 'D').
promote('C', 'M').
:- end_module roman.
:- end_module roman2.