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https://github.com/GrammaticalFramework/gf-core.git
synced 2026-04-18 01:09:32 -06:00
46 lines
1.3 KiB
Plaintext
46 lines
1.3 KiB
Plaintext
transfer Num2Bin : Numerals -> Nat = {
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transfer Numeral = num2bin ;
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fun num2bin : Numeral -> Bin ;
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def num2bin n = num2nat (nat2bin n) ;
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fun
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num2nat : Numeral -> Nat ;
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sub1000000_2nat : Sub1000000 -> Nat ;
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sub1000_2nat : Sub1000 -> Nat ;
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sub100_2nat : Sub100 -> Nat ;
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sub10_2nat : Sub10 -> Nat ;
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digit2nat : Digit -> Nat ;
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def
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num2nat (num n) = sub1000000_2nat n ;
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---
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sub1000000_2nat (pot2as3 n) = sub1000_2nat n ;
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---
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sub1000_2nat (pot1as2 n) = sub100_2nat n ;
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---
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sub100_2nat (pot0as1 n) = sub10_2nat n ;
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sub100_2nat (pot1 d) = tenTimes (digit2nat d) ;
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---
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sub10_2nat (pot0 d) = digit2nat d ;
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digit2nat n2 = Succ One ;
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digit2nat n3 = Succ (digit2nat n2) ;
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digit2nat n4 = Succ (digit2nat n3) ;
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digit2nat n5 = Succ (digit2nat n4) ;
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digit2nat n6 = Succ (digit2nat n5) ;
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digit2nat n7 = Succ (digit2nat n6) ;
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digit2nat n8 = Succ (digit2nat n7) ;
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digit2nat n9 = Succ (digit2nat n8) ;
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fun
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tenTimes : Nat -> Nat ;
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tenPlus, ninePlus : Nat -> Nat ;
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def
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tenTimes One = ninePlus One ; -- the price to pay for starting from One
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tenTimes (Succ n) = tenPlus (tenTimes n) ;
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tenPlus n = Succ (ninePlus n) ;
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ninePlus n = Succ (double (double (double One))) ;
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}
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