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concrete NumeralEng of Numeral = CatEng ** open ResEng in {
lincat
Digit = {s : DForm => CardOrd => Str} ;
Sub10 = {s : DForm => CardOrd => Str ; n : Number} ;
Sub100 = {s : CardOrd => Str ; n : Number} ;
Sub1000 = {s : CardOrd => Str ; n : Number} ;
Sub1000000 = {s : CardOrd => Str ; n : Number} ;
lin num x = x ;
lin n2 = let two = mkNum "two" "twelve" "twenty" "second" in
{s = \\f,c => case <f,c> of {
<teen,NOrd> => "twelfth" ;
_ => two.s ! f ! c
}
} ;
lin n3 = mkNum "three" "thirteen" "thirty" "third" ;
lin n4 = mkNum "four" "fourteen" "forty" "fourth" ;
lin n5 = mkNum "five" "fifteen" "fifty" "fifth" ;
lin n6 = regNum "six" ;
lin n7 = regNum "seven" ;
lin n8 = mkNum "eight" "eighteen" "eighty" "eighth" ;
lin n9 = mkNum "nine" "nineteen" "ninety" "ninth" ;
lin pot01 = mkNum "one" "eleven" "ten" "first" ** {n = Sg} ;
lin pot0 d = d ** {n = Pl} ;
lin pot110 = regCardOrd "ten" ** {n = Pl} ;
lin pot111 = regCardOrd "eleven" ** {n = Pl} ;
lin pot1to19 d = {s = d.s ! teen} ** {n = Pl} ;
lin pot0as1 n = {s = n.s ! unit} ** {n = n.n} ;
lin pot1 d = {s = d.s ! ten} ** {n = Pl} ;
lin pot1plus d e = {
s = \\c => d.s ! ten ! NCard ++ "-" ++ e.s ! unit ! c ; n = Pl} ;
lin pot1as2 n = n ;
lin pot2 d = {s = \\c => d.s ! unit ! NCard ++ mkCard c "hundred"} ** {n = Pl} ;
lin pot2plus d e = {
s = \\c => d.s ! unit ! NCard ++ "hundred" ++ "and" ++ e.s ! c ; n = Pl} ;
lin pot2as3 n = n ;
lin pot3 n = {
s = \\c => n.s ! NCard ++ mkCard c "thousand" ; n = Pl} ;
lin pot3plus n m = {
s = \\c => n.s ! NCard ++ "thousand" ++ m.s ! c ; n = Pl} ;
-- numerals as sequences of digits
lincat
Dig = TDigit ;
lin
IDig d = d ** {tail = T1} ;
IIDig d i = {
s = \\o => d.s ! NCard ++ commaIf i.tail ++ i.s ! o ;
n = Pl ;
tail = inc i.tail
} ;
D_0 = mkDig "0" ;
D_1 = mk3Dig "1" "1st" Sg ;
D_2 = mk2Dig "2" "2nd" ;
D_3 = mk2Dig "3" "3rd" ;
D_4 = mkDig "4" ;
D_5 = mkDig "5" ;
D_6 = mkDig "6" ;
D_7 = mkDig "7" ;
D_8 = mkDig "8" ;
D_9 = mkDig "9" ;
oper
commaIf : DTail -> Str = \t -> case t of {
T3 => "," ;
_ => []
} ;
inc : DTail -> DTail = \t -> case t of {
T1 => T2 ;
T2 => T3 ;
T3 => T1
} ;
mk2Dig : Str -> Str -> TDigit = \c,o -> mk3Dig c o Pl ;
mkDig : Str -> TDigit = \c -> mk2Dig c (c + "th") ;
mk3Dig : Str -> Str -> Number -> TDigit = \c,o,n -> {
s = table {NCard => c ; NOrd => o} ;
n = n
} ;
TDigit = {
n : Number ;
s : CardOrd => Str
} ;
}
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