work on ordinal numbers

This commit is contained in:
Herbert Lange
2019-10-13 17:30:28 +02:00
parent 4e0bcecb4e
commit a178f700f6
3 changed files with 102 additions and 74 deletions

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@@ -105,8 +105,10 @@ concrete NounLat of Noun = CatLat ** open ResLat, Prelude, ConjunctionLat in {
-- OrdDigits n = {s = n.s ! NOrd} ;
--
lin
-- NumNumeral numeral = numeral.s ;
-- OrdNumeral numeral = numeral.ord ;
-- NumNumeral : Numeral -> Card ; -- fifty-one
NumNumeral numeral = { s = numeral.s ; n = numeral.n } ;
-- OrdNumeral : Numeral -> Ord ; -- fifty-first
OrdNumeral numeral = { s = numeral.ord } ;
--
-- AdNum adn num = {s = adn.s ++ num.s ; n = num.n} ;
--

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@@ -18,111 +18,136 @@ concrete NumeralLat of Numeral = CatLat, ParamX[Number] ** open ParadigmsLat, Pr
n9 = lin Digit ( mkDigit "novem" "undeviginti" "nonaginta" "nongenti" "nonus" "centum" No9 ) ;
-- 1
pot01 = { s = n1.s ! one ; d = n1.s ; n = singular ; below8 = n1.below8 } ;
pot01 = {
s = n1.s ! one ;
d = { num, ord = n1.s } ;
n = singular ;
below8 = n1.below8 ;
ord = n1.ord ! one
} ;
-- d * 1
pot0 d = {
s = d.s ! one ;
d = table {
d = { num,ord = table {
thousand => \\g,c => d.s ! one ! g ! c ++ d.s ! thousand ! g ! c ;
u => \\g,c => d.s ! u ! g ! c
} ;
}
};
n = plural ;
below8 = d.below8
below8 = d.below8 ;
ord = d.ord ! one ;
} ;
-- 10
pot110 = {
s = n1.s ! ten ;
d = table {
d = { num, ord = table {
thousand => \\g,c => n1.s ! ten ! g ! c ++ n1.s ! thousand ! g ! c ;
u => \\g,c => n1.s ! u ! g ! c
} ;
}
};
n = singular ;
below8 = Yes
below8 = Yes ;
ord = n1.ord ! ten
} ;
-- 11
pot111 = pot1to19 n1 ;
-- 10 + d
pot1to19 d = {
s = d.s ! eleven ;
d = table {
d = { num, ord = table {
thousand => \\g,c => d.s ! eleven ! g ! c ++ n1.s ! thousand ! g ! c ;
u => \\g,c => d.s ! u ! g ! c
} ;
}
};
n = plural ;
below8 = Ign
below8 = Ign ;
ord = n1.ord ! eleven
} ;
-- coercion of 1..9
pot0as1 n = n ;
-- d * 10
pot1 d = {
s = d.s ! ten ;
d = table {
d = { num, ord = table {
thousand => \\g,c => d.s ! ten ! g ! c ++ n1.s ! thousand ! g ! c ;
u => \\g,c => d.s ! u ! g ! c
} ;
}
};
n = plural ;
below8 = Yes
below8 = Yes ;
ord = d.ord ! ten
} ;
-- d * 10 + n
pot1plus d n =
let
newS : Gender => Case => Str = \\g,c => case n.below8 of {
No8 => "duo" ++ Prelude.BIND ++ "-" ++ Prelude.BIND ++ "de" ++ Prelude.BIND ++ "-" ++ Prelude.BIND ++ d.tenNext ;
No9 => "un" ++ Prelude.BIND ++ "-" ++ Prelude.BIND ++ "de" ++ Prelude.BIND ++ "-" ++ Prelude.BIND ++ d.tenNext ;
No8 => "duo" ++ Prelude.BIND ++ "de" ++ Prelude.BIND ++ d.tenNext ;
No9 => "un" ++ Prelude.BIND ++ "de" ++ Prelude.BIND ++ d.tenNext ;
_ => d.s ! ten ! g ! c ++ n.s ! g ! c
} in
{
s = newS ;
d = table {
d = { num, ord = table {
thousand => \\g,c => newS ! g ! c ++ n1.s ! thousand ! g ! c ;
u => \\g,c => n.d ! u ! g ! c
} ;
u => \\g,c => n.d.num ! u ! g ! c
}
};
below8 = Ign ;
n = plural
n = plural ;
ord = \\_,_,_ => nonExist -- TODO
} ;
-- coercion of 1..99
pot1as2 n = n ;
-- m * 100
pot2 n = {
s = n.d ! hundred ;
d = table {
thousand => \\g,c => n.d ! hundred ! g ! c ++ n1.s ! thousand ! g ! c ;
u => \\g,c => n.d ! u ! g ! c
} ;
s = n.d.num ! hundred ;
d = { num, ord = table {
thousand => \\g,c => n.d.num ! hundred ! g ! c ++ n1.s ! thousand ! g ! c ;
u => \\g,c => n.d.num ! u ! g ! c
}
};
n = plural ;
below8 = Yes} ;
below8 = Yes ;
ord = \\_,_,_ => nonExist -- TODO
} ;
-- d * 100 + n
pot2plus d n =
let
newS : Gender => Case => Str = \\g,c => d.d ! hundred ! g ! c ++ "et" ++ n.s ! g ! c
newS : Gender => Case => Str = \\g,c => d.d.num ! hundred ! g ! c ++ "et" ++ n.s ! g ! c
in
{
s = newS ;
d = table {
d = { num, ord = table {
thousand => \\g,c => newS ! g ! c ++ n1.s ! thousand ! g ! c ;
u => \\g,c => n.d ! u ! g ! c
} ;
u => \\g,c => n.d.num ! u ! g ! c
}
};
below8 = Ign ;
n = plural
n = plural;
ord = \\_,_,_ => nonExist -- TODO
} ;
-- coercion of 1..999
pot2as3 n = n ;
-- m * 1000
pot3 n = {
s = \\g,c => n.s ! g ! c ++ n.d ! thousand ! g ! c ;
d = table { thousand => \\g,c => n.s ! g ! c ++ n.d ! thousand ! g ! c ;
u => \\g,c => n.d ! u ! g ! c
s = \\g,c => n.s ! g ! c ++ n.d.num ! thousand ! g ! c ;
d = { num,ord = table {
thousand => \\g,c => n.s ! g ! c ++ n.d.num ! thousand ! g ! c ;
u => \\g,c => n.d.num ! u ! g ! c
}
} ;
below8 = Ign ;
n = plural
n = plural ;
ord = \\_,_,_ => nonExist -- TODO
} ;
-- d * 1000 + n
pot3plus d n = {
s = \\g,c => d.d ! thousand ! g ! c ++ "et" ++ n.s ! g ! c ;
d = n.d ;
s = \\g,c => d.d.num ! thousand ! g ! c ++ "et" ++ n.s ! g ! c ;
d = n.d ; -- ???
below8 = Ign ;
n = plural
n = plural ;
ord = \\_,_,_ => nonExist -- TODO
} ;
oper
@@ -146,14 +171,15 @@ concrete NumeralLat of Numeral = CatLat, ParamX[Number] ** open ParadigmsLat, Pr
hundred_thousand => \\_,_ => nonExist
} ;
-- n = case ones of { "unus" => singular ; _ => plural } ;
-- 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 } ;
ord =
table { one => ordFlex ord1 ;
eleven => \\_,_,_ => nonExist ;
ten => ordFlex ord10 ;
hundred => ordFlex ord100 ;
thousand => \\_,_,_ => nonExist ;
ten_thousand => \\_,_,_ => nonExist ;
hundred_thousand => \\_,_,_ => nonExist
} ;
tenNext = tenNext ;
below8 = b8
} ;

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@@ -1472,8 +1472,8 @@ oper
Below8 = Yes | No8 | No9 | Ign ;
oper
-- Numerals are by default cardinal numbers but have a field for ordinal numbers
TDigit : Type = { s : Unit => Gender => Case => Str ; tenNext : Str ; below8 : Below8 } ; -- ord : Unit => Agr => Str } ;
TNumeral : Type = { s : Gender => Case => Str ; d : Unit => Gender => Case => Str ; n : Number ; below8 : Below8 } ; -- ord : Unit => Agr => Str } ;
TDigit : Type = { s : Unit => Gender => Case => Str ; tenNext : Str ; below8 : Below8 ; ord : Unit => Gender => Number => Case => Str } ;
TNumeral : Type = { s : Gender => Case => Str ; d : { num, ord : Unit => Gender => Case => Str } ; n : Number ; below8 : Below8 ; ord : Gender => Number => Case => Str } ;
-- Inflection for cardinal numbers
cardFlex : Str -> Gender => Case => Str =
@@ -1496,21 +1496,21 @@ oper
} ;
_ => \\_,_ => 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"
-- }
ordFlex : Str -> Gender => Number => Case => Str =
\o -> 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 } ;