blob: b620acf92a82105761a47703d0e09717b196aecc (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
|
transfer Num2Bin : Numerals -> Nat = {
transfer Numeral = num2bin ;
fun num2bin : Numeral -> Bin ;
def num2bin n = num2nat (nat2bin n) ;
fun
num2nat : Numeral -> Nat ;
sub1000000_2nat : Sub1000000 -> Nat ;
sub1000_2nat : Sub1000 -> Nat ;
sub100_2nat : Sub100 -> Nat ;
sub10_2nat : Sub10 -> Nat ;
digit2nat : Digit -> Nat ;
def
num2nat (num n) = sub1000000_2nat n ;
---
sub1000000_2nat (pot2as3 n) = sub1000_2nat n ;
---
sub1000_2nat (pot1as2 n) = sub100_2nat n ;
---
sub100_2nat (pot0as1 n) = sub10_2nat n ;
sub100_2nat (pot1 d) = tenTimes (digit2nat d) ;
---
sub10_2nat (pot0 d) = digit2nat d ;
digit2nat n2 = Succ One ;
digit2nat n3 = Succ (digit2nat n2) ;
digit2nat n4 = Succ (digit2nat n3) ;
digit2nat n5 = Succ (digit2nat n4) ;
digit2nat n6 = Succ (digit2nat n5) ;
digit2nat n7 = Succ (digit2nat n6) ;
digit2nat n8 = Succ (digit2nat n7) ;
digit2nat n9 = Succ (digit2nat n8) ;
fun
tenTimes : Nat -> Nat ;
tenPlus, ninePlus : Nat -> Nat ;
def
tenTimes One = ninePlus One ; -- the price to pay for starting from One
tenTimes (Succ n) = tenPlus (tenTimes n) ;
tenPlus n = Succ (ninePlus n) ;
ninePlus n = Succ (double (double (double One))) ;
}
|
