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ongoing work on numerals

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This commit is contained in:
Herbert Lange
2019-06-12 15:03:27 +02:00
parent 8dde0246c4
commit f725562f79
5 changed files with 133 additions and 80 deletions
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2
src/latin/CatLat.gf
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@@ -53,7 +53,7 @@ concrete CatLat of Cat = CommonX-[Adv] ** open ResLat, ParamX, Prelude in {
Pron = ResLat.Pronoun ;
Det = Determiner ;
Predet = {s : Str} ;
Ord = Ordinal ;
Ord = { s : Gender => Number => Case => Str } ;
Num = {s : Gender => Case => Str ; n : Number} ;
Card = {s : Gender => Case => Str ; n : Number} ;
Quant = Quantifier ;

4
src/latin/NounLat.gf
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@@ -111,8 +111,8 @@ concrete NounLat of Noun = CatLat ** open ResLat, Prelude, ConjunctionLat in {
-- OrdDigits n = {s = n.s ! NOrd} ;
--
lin
NumNumeral numeral = numeral.card ;
OrdNumeral numeral = numeral.ord ;
-- NumNumeral numeral = numeral.s ;
-- OrdNumeral numeral = numeral.ord ;
--
-- AdNum adn num = {s = adn.s ++ num.s ; n = num.n} ;
--

107
src/latin/NumeralLat.gf
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@@ -1,6 +1,6 @@
concrete NumeralLat of Numeral = CatLat ** open ResLat,ParadigmsLat in {
concrete NumeralLat of Numeral = CatLat ** open ResLat,ParadigmsLat,Prelude in {
lincat
Digit = Numeral ;
Digit = TDigit ;
Sub10 = Numeral ;
Sub100 = Numeral ;
Sub1000 = Numeral ;
@@ -8,38 +8,81 @@ concrete NumeralLat of Numeral = CatLat ** open ResLat,ParadigmsLat in {
lin
num x = x ;
n2 = lin Numeral ( mkNum "duo" "secundus" ) ;
n3 = lin Numeral ( mkNum "tres" "tertius" ) ;
n4 = lin Numeral ( mkNum "quattuor" "quartus" ) ;
n5 = lin Numeral ( mkNum "quinque" "quintus" ) ;
n6 = lin Numeral ( mkNum "sex" "sextus" ) ;
n7 = lin Numeral ( mkNum "septem" "septimus" ) ;
n8 = lin Numeral ( mkNum "octo" "ocatvus" ) ;
n9 = lin Numeral ( mkNum "novem" "nonus" ) ;
-- n2 = lin Digit ( mkDigit "duo" "viginti" "ducenti" "secundus" ) ;
-- n3 = lin Numeral ( mkNum "tres" "triginta" "trecenti" "tertius" ) ;
-- n4 = lin Numeral ( mkNum "quattuor" "quadraginta" "quadringenti" "quartus" ) ;
-- n5 = lin Numeral ( mkNum "quinque" "quinquaginta" "quingenti" "quintus" ) ;
-- n6 = lin Numeral ( mkNum "sex" "sexaginta" "sescenti" "sextus" ) ;
-- n7 = lin Numeral ( mkNum "septem" "septuaginta" "septingenti" "septimus" ) ;
-- n8 = lin Numeral ( mkNum "octo" "octoginta" "octingenti" "ocatvus" ) ;
-- n9 = lin Numeral ( mkNum "novem" "nonaginta" "nongenti" "nonus") ;
lin pot01 = lin Numeral ( mkNum "unus" "primus" ) ;
lin pot0 d = d ;
--lin pot110 = regCardOrd "ten" ** {n = Pl} ;
--lin pot111 = regCardOrd "eleven" ** {n = Pl} ;
--lin pot1to19 d = {s = d.s ! teen} ** {n = Pl} ;
lin pot0as1 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} ;
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} ;
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} ;
--
-- -- 1
-- pot01 =
-- -- d * 1
-- pot0 d = d ;
-- -- 10
-- pot110 = pot01 ;
-- -- 11
-- -- pot111 = pot1to19 pot01 ;
-- -- 10 + d
-- -- pot1to19 d = mkNum "" "" "" "" ; -- {s = d.s ! teen} ** {n = Pl} ;
-- -- coercion of 1..9
-- pot0as1 n = n ;
-- -- d * 10
-- --lin pot1 d = {s = d.s ! ten} ** {n = Pl} ;
-- -- d * 10 + n
-- --lin pot1plus d e = {
-- -- s = \\c => d.s ! ten ! NCard ++ "-" ++ e.s ! unit ! c ; n = Pl} ;
-- -- coercion of 1..99
-- pot1as2 n = n ;
-- -- m * 100
-- --lin pot2 d = {s = \\c => d.s ! unit ! NCard ++ mkCard c "hundred"} ** {n = Pl} ;
-- -- m * 100 + n
-- --lin pot2plus d e = {
-- -- s = \\c => d.s ! unit ! NCard ++ "hundred" ++ "and" ++ e.s ! c ; n = Pl} ;
-- -- coercion of 1..999
-- pot2as3 n = n ;
-- -- m * 1000
-- --lin pot3 n = {
-- -- s = \\c => n.s ! NCard ++ mkCard c "thousand" ; n = Pl} ;
-- -- m * 1000 + n
-- --lin pot3plus n m = {
-- -- s = \\c => n.s ! NCard ++ "thousand" ++ m.s ! c ; n = Pl} ;
oper
n1 : Digit = lin Digit ( fullDigit "unus" "decem" "primus" "decimus" "centesimus" "millesimus" ) ;
mkDigit : (ones, tens, hundreds, ord : Str) -> TDigit =
\ones, tens, hundreds, ord ->
case <tens,hundreds> of {
-- <"decem",_> => fullDigit ones tens hundreds ord "decimus" "centesimus" ;
-- <"viginta",_> => fullDigit ones tens hundreds ord "vicesimus" "ducentesimus" ;
-- <"triginta",_> => fullDigit ones tens hundreds ord "tricesimus" "trecentesimus" ;
<quadra + "ginta",quadringent + "i"> => fullDigit ones tens hundreds ord (quadra + "gesimus") (quadringent + "esimus")
} ;
fullDigit : (ones, tens, hundreds, ord1,ord10,ord100 : Str) -> TDigit =
\ones, tens, hundreds, ord1,ord10,ord100 ->
{ s = table { one => cardFlex ones ;
ten => cardFlex tens ;
hundred => cardFlex hundreds ;
thousand => \\_,_ => nonExist ;
ten_thousand => \\_,_ => nonExist ;
hundred_thousand => \\_,_ => nonExist }
-- n = case ones of { "unus" => Sg ; _ => Pl } ;
-- ord =
-- \\_,_ => [] ;
-- -- table { one => (mkA ord1).s ! Posit;
-- -- ten => (mkA ord10).s ! Posit ;
-- -- hundred => (mkA ord100).s ! Posit ;
-- -- thousand => \\_,_ => nonExist ;
-- -- ten_thousand => \\_ => nonExist ;
-- -- hundred_thousand => \\_ => nonExist } ;
} ;
-- numerals as sequences of digits
lincat
Dig = TDigit ;
Dig = TDig ;
lin
IDig d = {s = d.s ! one; unit = ten} ;
@@ -61,11 +104,11 @@ concrete NumeralLat of Numeral = CatLat ** open ResLat,ParadigmsLat in {
D_9 = mkDig "IX" "XC" "CM" "(IX)" "(XC)" "(CM)" ;
oper
TDigit = {
TDig = {
s : Unit => Str
} ;
mkDig : Str -> Str -> Str -> Str -> Str -> Str -> TDigit =
mkDig : Str -> Str -> Str -> Str -> Str -> Str -> TDig =
\one,ten,hundred,thousand,ten_thousand,hundred_thousand -> {
s = table Unit [one;ten;hundred;thousand;ten_thousand;hundred_thousand]
} ;

6
src/latin/ParadigmsLat.gf
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@@ -114,7 +114,11 @@ oper
mkPron = mkPronoun ;
mkNum = mkNumeral ;
-- mkNum = overload {
-- mkNum : Str -> Str -> Str -> Str -> Num = \s1,s2,s3,s4 -> lin Num (mkNumeral s1 s2 s3 s4 );
-- mkNum : Str -> Str -> Str -> Str -> Str -> Str -> Num = \s1,s2,s3,s4,s5,s6 -> lin Num (fullNumeral s1 s2 s3 s4 s5 s6 ) ;
-- } ;
-- To be implemented, just place holders
mkPN : N -> PN = \n -> lin PN n ;
mkN2 : N -> Prep -> N2 = \n,p -> lin N2 ( n ** { c = p } );

94
src/latin/ResLat.gf
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@@ -152,7 +152,8 @@ param
AdjectivePhrase : Type = {
s : Agr => Str ;
-- isPre : Bool ; -- should have no use in latin because adjectives can appear variably before and after nouns
} ;
} ;
mkAdjective : (bonus,bona,bonum : Noun) ->
( (Agr => Str) * Str ) ->
( (Agr => Str) * Str ) ->
@@ -187,7 +188,7 @@ param
audaces audaces (audac + "ium") (audac + "ibus")
g ;
emptyAdj : Adjective =
{ s = \\_,_ => "" ; comp_adv = "" ; super_adv = "" ; adv = { s = \\_ => "" } } ;
@@ -1401,49 +1402,54 @@ oper
{ s = table { Posit => p ; Compar => c ; Super => s } };
-- numerals
param
CardOrd = NCard | NOrd ;
-- CardOrd = NCard | NOrd ;
Unit = one | ten | hundred | thousand | ten_thousand | hundred_thousand ;
oper
Cardinal : Type = {s : Gender => Case => Str ; n : Number};
Ordinal : Type = { s : Gender => Number => Case => Str } ;
Numeral : Type = { card : Cardinal ; ord : Ordinal } ;
-- Numerals are by default cardinal numbers but have a field for ordinal numbers
TDigit : Type = { s : Unit => Gender => Case => Str } ; -- ord : Unit => Agr => Str } ;
Numeral : Type = { s : Gender => Case => Str ; n : Number ; ord : Unit => Agr => Str } ;
-- Inflection for cardinal numbers
cardFlex : Str -> Gender => Case => Str =
\c -> case c of { "unus" => \\gen,cas => case <gen,cas> of {
<Masc, Nom | Voc> => "unus" ; <Masc, Acc> => "unum" ; <Masc, Abl> => "uno" ;
<Fem, Nom | Abl | Voc> => "una" ; <Fem, Acc> => "unam" ;
<Neutr, Nom | Acc | Voc> => "unum" ; <Neutr, Abl> => "uno" ;
<_, Gen> => "unius" ; <_, Dat> => "uni"
} ;
"duo" => table {
Masc | Neutr => table Case [ "duo" ; "duo" ; "duorum" ; "duobus" ; "duobus" ; "duo" ] ;
Fem => table Case [ "duae" ; "duas" ; "duarum" ; "duabus" ; "duabus" ; "duae" ] } ;
"tres" => \\gen,cas => case <gen,cas> of {
<Neutr, Nom | Acc | Voc > => "tria" ; <_, Nom | Acc | Voc > => "tres" ;
<_, Gen> => "trium" ; <_, Dat | Abl > => "tribus"
} ;
"milia" => table {
Neutr => table Case [ "milia" ; "milia" ; "milium" ; "milibus" ; "milibus" ; "milia" ] ;
_ => \\_ => nonExist
} ;
_ => \\_,_ => c
} ;
-- ordFlex : Gender => Number => Case => Str =
-- case o of {
-- stem + "us" => table {
-- Masc => table Number [ table Case [ stem + "us" ; stem + "um" ; stem + "i" ; stem + "o" ; stem + "o" ; stem + "e" ] ;
-- table Case [ stem + "i" ; stem + "os" ; stem + "orum" ; stem + "is" ; stem + "is" ; stem + "i" ] ;
-- ];
-- Fem => table Number [ table Case [ stem + "a" ; stem + "am" ; stem + "ae" ; stem + "ae" ; stem + "a" ; stem + "a" ] ;
-- table Case [ stem + "ae" ; stem + "as" ; stem + "arum" ; stem + "is" ; stem + "is" ; stem + "ae" ] ;
-- ] ;
-- Neutr => table Number [ table Case [ stem + "um" ; stem + "um" ; stem + "i" ; stem + "o" ; stem + "o" ; stem + "um" ] ;
-- table Case [ stem + "a" ; stem + "a" ; stem + "orum" ; stem + "is" ; stem + "is" ; stem + "a" ] ;
-- ]
-- } ;
-- _ => error "unsupported ordinal form"
-- }
-- in
-- { s = cardFlex ; n = case c of { "unus" => Sg ; _ => Pl } ; ord = ordFlex } ;
-- fixedNumeral : Str -> Str -> Numeral = \c,o ->
-- { s = \\_,_,_=> c ; n = Pl ; ord = \\g,n,c => (mkA o).s ! Posit ! Ag g n c} ;
mkNumeral : Str -> Str -> Numeral = \c,o -> -- cardinal and ordinal form
let
cardFlex : Gender => Case => Str = case c of { "unus" => \\gen,cas => case <gen,cas> of {
<Masc, Nom | Voc> => "unus" ; <Masc, Acc> => "unum" ; <Masc, Abl> => "uno" ;
<Fem, Nom | Abl | Voc> => "una" ; <Fem, Acc> => "unam" ;
<Neutr, Nom | Acc | Voc> => "unum" ; <Neutr, Abl> => "uno" ;
<_, Gen> => "unius" ; <_, Dat> => "uni"
} ;
"duo" => table {
Masc | Neutr => table Case [ "duo" ; "duo" ; "duorum" ; "duobus" ; "duobus" ; "duo" ] ;
Fem => table Case [ "duae" ; "duas" ; "duarum" ; "duabus" ; "duabus" ; "duae" ] } ;
"tres" => \\gen,cas => case <gen,cas> of {
<Neutr, Nom | Acc | Voc > => "tria" ; <_, Nom | Acc | Voc > => "tres" ;
<_, Gen> => "trium" ; <_, Dat | Abl > => "tribus"
} ;
"milia" => table {
Neutr => table Case [ "milia" ; "milia" ; "milium" ; "milibus" ; "milibus" ; "milia" ] ;
_ => \\_ => nonExist
} ;
_ => \\_,_ => c
} ;
ordFlex : Gender => Number => Case => Str =
case o of {
stem + "us" => table {
Masc => table Number [ table Case [ stem + "us" ; stem + "um" ; stem + "i" ; stem + "o" ; stem + "o" ; stem + "e" ] ;
table Case [ stem + "i" ; stem + "os" ; stem + "orum" ; stem + "is" ; stem + "is" ; stem + "i" ] ;
];
Fem => table Number [ table Case [ stem + "a" ; stem + "am" ; stem + "ae" ; stem + "ae" ; stem + "a" ; stem + "a" ] ;
table Case [ stem + "ae" ; stem + "as" ; stem + "arum" ; stem + "is" ; stem + "is" ; stem + "ae" ] ;
] ;
Neutr => table Number [ table Case [ stem + "um" ; stem + "um" ; stem + "i" ; stem + "o" ; stem + "o" ; stem + "um" ] ;
table Case [ stem + "a" ; stem + "a" ; stem + "orum" ; stem + "is" ; stem + "is" ; stem + "a" ] ;
]
} ;
_ => error "unsupported ordinal form"
}
in
{ card = { s = cardFlex ; n = case c of { "unus" => Sg ; _ => Pl } } ; ord = { s = ordFlex } } ;
}