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authoraarne <aarne@chalmers.se>2009-06-22 15:39:08 +0000
committeraarne <aarne@chalmers.se>2009-06-22 15:39:08 +0000
commite89fdae2fa1626348d8025824a7469252fa85e42 (patch)
treec7d46bbd0494043b4bd6f917a25a7687517d0547 /next-lib/src/abstract/Numeral.gf
parent3049b59b35b25381a7c6787444165c200d66e08b (diff)
next-lib renamed to lib, lib to old-lib
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---1 Numerals
-
--- This grammar defines numerals from 1 to 999999.
--- The implementations are adapted from the
--- [numerals library http://www.cs.chalmers.se/~aarne/GF/examples/numerals/]
--- which defines numerals for 88 languages.
--- The resource grammar implementations add to this inflection (if needed)
--- and ordinal numbers.
---
--- *Note* 1. Number 1 as defined
--- in the category $Numeral$ here should not be used in the formation of
--- noun phrases, and should therefore be removed. Instead, one should use
--- [Structural Structural.html]$.one_Quant$. This makes the grammar simpler
--- because we can assume that numbers form plural noun phrases.
---
--- *Note* 2. The implementations introduce spaces between
--- parts of a numeral, which is often incorrect - more work on
--- (un)lexing is needed to solve this problem.
-
-abstract Numeral = Cat ** {
-
-cat
- Digit ; -- 2..9
- Sub10 ; -- 1..9
- Sub100 ; -- 1..99
- Sub1000 ; -- 1..999
- Sub1000000 ; -- 1..999999
-
-fun
- num : Sub1000000 -> Numeral ;
-
- n2, n3, n4, n5, n6, n7, n8, n9 : Digit ;
-
- pot01 : Sub10 ; -- 1
- pot0 : Digit -> Sub10 ; -- d * 1
- pot110 : Sub100 ; -- 10
- pot111 : Sub100 ; -- 11
- pot1to19 : Digit -> Sub100 ; -- 10 + d
- pot0as1 : Sub10 -> Sub100 ; -- coercion of 1..9
- pot1 : Digit -> Sub100 ; -- d * 10
- pot1plus : Digit -> Sub10 -> Sub100 ; -- d * 10 + n
- pot1as2 : Sub100 -> Sub1000 ; -- coercion of 1..99
- pot2 : Sub10 -> Sub1000 ; -- m * 100
- pot2plus : Sub10 -> Sub100 -> Sub1000 ; -- m * 100 + n
- pot2as3 : Sub1000 -> Sub1000000 ; -- coercion of 1..999
- pot3 : Sub1000 -> Sub1000000 ; -- m * 1000
- pot3plus : Sub1000 -> Sub1000 -> Sub1000000 ; -- m * 1000 + n
-
--- Numerals as sequences of digits have a separate, simpler grammar
-
- cat
- Dig ; -- single digit 0..9
-
- fun
- IDig : Dig -> Digits ; -- 8
- IIDig : Dig -> Digits -> Digits ; -- 876
-
- D_0, D_1, D_2, D_3, D_4, D_5, D_6, D_7, D_8, D_9 : Dig ;
-
-}