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161 lines
4.5 KiB
Plaintext
161 lines
4.5 KiB
Plaintext
-- David Wahlstedt 2002 (cardinal numbers)
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-- Inari Listenmaa 2020 (ordinals + cosmetic changes)
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concrete NumeralMay of Numeral = CatMay [Numeral,Digits] **
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open Prelude, ResMay in {
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lincat
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Digit = OrdNum ; -- 2..9
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Sub10, -- 1..9
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Sub100, -- 1..99
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Sub1000 = LinNumber ; -- 1..999
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Sub1000000 = OrdNum ; -- 1..999999
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oper
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LinNumber : Type = {
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s : DForm => Str ;
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n : Number ; -- This is an internal number that tells which form of digits to choose. When quantifying a noun, the noun is in singular.
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ord : Str ;
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} ;
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OrdNum : Type = CardOrdNum ** {n : Number} ;
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lin
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-- : Sub1000000 -> Numeral ; -- 123456 [coercion to top category]
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num x = x ;
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-- : Digit ;
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n2 = mkDigit "dua" ;
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n3 = mkDigit "tiga" ;
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n4 = mkDigit "empat" ;
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n5 = mkDigit "lima" ;
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n6 = mkDigit "enam" ;
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n7 = mkDigit "tujuh" ;
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n8 = mkDigit "lapan" ; -- "delapan" for Indonesian
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n9 = mkDigit "sembilan" ;
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-- : Sub10 ; -- 1
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pot01 = {
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s = table {
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Attrib => [] ;
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Indep => "satu" } ;
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n = Sg ;
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ord = "pertama"
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} ;
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-- : Digit -> Sub10 ; -- d * 1
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pot0 d = d ** {s = \\_ => d.s} ;
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-- : Sub100 ; -- 10
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pot110 = mkNum "sepuluh" ;
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-- : Sub100 ; -- 11
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pot111 = mkNum "sebelas" ;
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-- : Digit -> Sub100 ; -- 10 + d
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pot1to19 d = mkNum3 d "belas" [] ;
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-- : Sub10 -> Sub100 ; -- coercion of 1..9
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pot0as1 n = n ;
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-- : Digit -> Sub100 ; -- d * 10
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pot1 d = mkNum3 d "puluh" [] ;
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-- : Digit -> Sub10 -> Sub100 ; -- d * 10 + n
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pot1plus d e = -- 21 = dua puluh satu, so we choose Indep form of 1.
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mkNum3 d "puluh" (e.s ! Indep) ;
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-- : Sub100 -> Sub1000 ; -- coercion of 1..99
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pot1as2 n = n ;
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-- : Sub10 -> Sub1000 ; -- m * 100
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pot2 d = potNum d ratus [] ;
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-- : Sub10 -> Sub100 -> Sub1000 ; -- m * 100 + n
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pot2plus d e = potNum d ratus (e.s ! Indep) ;
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-- : Sub1000 -> Sub1000000 ; -- coercion of 1..999
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pot2as3 n = n ** {s = n.s ! Indep} ;
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-- : Sub1000 -> Sub1000000 ; -- m * 1000
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pot3 d = pot2as3 (potNum d ribu []) ;
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-- : Sub1000 -> Sub1000 -> Sub1000000 ; -- m * 1000 + n
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pot3plus d e = pot2as3 (potNum d ribu (e.s ! Indep)) ;
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oper
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ratus : Number*CardOrd => Str = table { -- 100
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<Sg, NCard> => "seratus" ;
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<Sg, NOrd> => "keseratus" ;
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<Pl,_> => "ratus"
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} ;
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ribu : Number*CardOrd => Str = table { -- 1000
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<Sg, NCard> => "seribu" ;
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<Sg, NOrd> => "keseribu" ;
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<Pl,_> => "ribu"
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} ;
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-- To make Sub* funs directly from a string.
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mkNum : Str -> LinNumber = \s -> {
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n = Pl ;
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s = \\_ => s ; -- Indep vs. Attrib only matters for number 1
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ord = "ke" + s ; -- Works for all but number 1
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} ;
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mkDigit : Str -> OrdNum = \s -> mkNum s ** {s=s} ;
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-- Only for Digit -> Sub*: we won't run into 1 here.
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mkNum3 : (digit : OrdNum) -> (ten,unit : Str) -> LinNumber = \tiga,puluh,dua -> {
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n = Pl ;
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s = \\_ => tiga.s ++ puluh ++ dua ;
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ord = tiga.ord ++ puluh ++ dua
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} ;
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-- The most general oper for making new numbers out of old ones.
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potNum : LinNumber -> (Number*CardOrd => Str) -> Str -> LinNumber = \satu,ribuTbl,dua -> {
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n = Pl ;
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s = \\_ =>
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satu.s ! Attrib ++ -- Attrib form is empty string in 1, and normal for others.
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ribuTbl ! <satu.n, NCard> ++ dua ;
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ord = case satu.n of {
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Sg => satu.s ! Attrib ++ ribuTbl ! <Sg, NOrd> ++ dua ;
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Pl => satu.ord ++ ribuTbl ! <Pl, NCard> ++ dua }
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} ;
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-- Numerals as sequences of digits have a separate, simpler grammar
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lincat
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Dig = DigNum ; -- single digit 0..9
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lin
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-- : Dig -> Digits ; -- 8
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IDig d = d ;
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-- : Dig -> Digits -> Digits ; -- 876
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IIDig d e = {
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s = table {
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NCard => glue (d.s ! NCard) (e.s ! NCard) ;
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NOrd => glue (d.s ! NOrd) (e.s ! NCard)
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}
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} ;
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-- : Dig ;
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D_0 = mkDig "0" ;
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D_1 = mkDig "1" ;
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D_2 = mkDig "2" ;
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D_3 = mkDig "3" ;
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D_4 = mkDig "4" ;
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D_5 = mkDig "5" ;
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D_6 = mkDig "6" ;
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D_7 = mkDig "7" ;
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D_8 = mkDig "8" ;
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D_9 = mkDig "9" ;
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oper
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mkDig : Str -> DigNum = \s -> {
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s = table {
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NCard => s ;
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NOrd => "ke-" + s
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}
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} ;
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}
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