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51 lines
1.9 KiB
Plaintext
51 lines
1.9 KiB
Plaintext
--1 Numerals
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-- This grammar defines numerals from 1 to 999999.
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-- The implementations are adapted from the
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-- [numerals library http://www.cs.chalmers.se/~aarne/GF/examples/numerals/]
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-- which defines numerals for 88 languages.
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-- The resource grammar implementations add to this inflection (if needed)
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-- and ordinal numbers.
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--
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-- *Note* 1. Number 1 as defined
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-- in the category $Numeral$ here should not be used in the formation of
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-- noun phrases, and should therefore be removed. Instead, one should use
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-- [Structural Structural.html]$.one_Quant$. This makes the grammar simpler
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-- because we can assume that numbers form plural noun phrases.
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--
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-- *Note* 2. The implementations introduce spaces between
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-- parts of a numeral, which is often incorrect - more work on
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-- (un)lexing is needed to solve this problem.
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abstract Numeral = {
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cat
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Numeral ;
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Digit ; -- 2..9
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Sub10 ; -- 1..9
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Sub100 ; -- 1..99
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Sub1000 ; -- 1..999
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Sub1000000 ; -- 1..999999
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fun
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num : Sub1000000 -> Numeral ;
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n2, n3, n4, n5, n6, n7, n8, n9 : Digit ;
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pot01 : Sub10 ; -- 1
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pot0 : Digit -> Sub10 ; -- d * 1
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pot110 : Sub100 ; -- 10
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pot111 : Sub100 ; -- 11
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pot1to19 : Digit -> Sub100 ; -- 10 + d
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pot0as1 : Sub10 -> Sub100 ; -- coercion of 1..9
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pot1 : Digit -> Sub100 ; -- d * 10
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pot1plus : Digit -> Sub10 -> Sub100 ; -- d * 10 + n
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pot1as2 : Sub100 -> Sub1000 ; -- coercion of 1..99
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pot2 : Sub10 -> Sub1000 ; -- m * 100
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pot2plus : Sub10 -> Sub100 -> Sub1000 ; -- m * 100 + n
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pot2as3 : Sub1000 -> Sub1000000 ; -- coercion of 1..999
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pot3 : Sub1000 -> Sub1000000 ; -- m * 1000
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pot3plus : Sub1000 -> Sub1000 -> Sub1000000 ; -- m * 1000 + n
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}
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