cardano-crypto-1.1.1: Cryptography primitives for cardano
Safe Haskell None
Language Haskell2010

Crypto.Math.NatMath

Documentation

type family Div8 (bitLen :: Nat ) :: Nat where ... Source #

Equations

Div8 0 = 0
Div8 1 = 0
Div8 2 = 0
Div8 3 = 0
Div8 4 = 0
Div8 5 = 0
Div8 6 = 0
Div8 7 = 0
Div8 8 = 1
Div8 9 = 1
Div8 10 = 1
Div8 11 = 1
Div8 12 = 1
Div8 13 = 1
Div8 14 = 1
Div8 15 = 1
Div8 16 = 2
Div8 17 = 2
Div8 18 = 2
Div8 19 = 2
Div8 20 = 2
Div8 21 = 2
Div8 22 = 2
Div8 23 = 2
Div8 24 = 3
Div8 25 = 3
Div8 26 = 3
Div8 27 = 3
Div8 28 = 3
Div8 29 = 3
Div8 30 = 3
Div8 31 = 3
Div8 32 = 4
Div8 33 = 4
Div8 34 = 4
Div8 35 = 4
Div8 36 = 4
Div8 37 = 4
Div8 38 = 4
Div8 39 = 4
Div8 40 = 5
Div8 41 = 5
Div8 42 = 5
Div8 43 = 5
Div8 44 = 5
Div8 45 = 5
Div8 46 = 5
Div8 47 = 5
Div8 48 = 6
Div8 49 = 6
Div8 50 = 6
Div8 51 = 6
Div8 52 = 6
Div8 53 = 6
Div8 54 = 6
Div8 55 = 6
Div8 56 = 7
Div8 57 = 7
Div8 58 = 7
Div8 59 = 7
Div8 60 = 7
Div8 61 = 7
Div8 62 = 7
Div8 63 = 7
Div8 64 = 8
Div8 n = 8 + Div8 (n - 64)

type family IsDiv8 (bitLen :: Nat ) (n :: Nat ) where ... Source #

Equations

IsDiv8 bitLen 0 = ' True
IsDiv8 bitLen 1 = TypeError ((' Text "bitLen " :<>: ' ShowType bitLen) :<>: ' Text " is not divisible by 8")
IsDiv8 bitLen 2 = TypeError ((' Text "bitLen " :<>: ' ShowType bitLen) :<>: ' Text " is not divisible by 8")
IsDiv8 bitLen 3 = TypeError ((' Text "bitLen " :<>: ' ShowType bitLen) :<>: ' Text " is not divisible by 8")
IsDiv8 bitLen 4 = TypeError ((' Text "bitLen " :<>: ' ShowType bitLen) :<>: ' Text " is not divisible by 8")
IsDiv8 bitLen 5 = TypeError ((' Text "bitLen " :<>: ' ShowType bitLen) :<>: ' Text " is not divisible by 8")
IsDiv8 bitLen 6 = TypeError ((' Text "bitLen " :<>: ' ShowType bitLen) :<>: ' Text " is not divisible by 8")
IsDiv8 bitLen 7 = TypeError ((' Text "bitLen " :<>: ' ShowType bitLen) :<>: ' Text " is not divisible by 8")
IsDiv8 bitLen n = IsDiv8 n ( Mod8 n)

type family Mod8 (n :: Nat ) where ... Source #

Equations

Mod8 0 = 0
Mod8 1 = 1
Mod8 2 = 2
Mod8 3 = 3
Mod8 4 = 4
Mod8 5 = 5
Mod8 6 = 6
Mod8 7 = 7
Mod8 8 = 0
Mod8 9 = 1
Mod8 10 = 2
Mod8 11 = 3
Mod8 12 = 4
Mod8 13 = 5
Mod8 14 = 6
Mod8 15 = 7
Mod8 16 = 0
Mod8 17 = 1
Mod8 18 = 2
Mod8 19 = 3
Mod8 20 = 4
Mod8 21 = 5
Mod8 22 = 6
Mod8 23 = 7
Mod8 24 = 0
Mod8 25 = 1
Mod8 26 = 2
Mod8 27 = 3
Mod8 28 = 4
Mod8 29 = 5
Mod8 30 = 6
Mod8 31 = 7
Mod8 32 = 0
Mod8 33 = 1
Mod8 34 = 2
Mod8 35 = 3
Mod8 36 = 4
Mod8 37 = 5
Mod8 38 = 6
Mod8 39 = 7
Mod8 40 = 0
Mod8 41 = 1
Mod8 42 = 2
Mod8 43 = 3
Mod8 44 = 4
Mod8 45 = 5
Mod8 46 = 6
Mod8 47 = 7
Mod8 48 = 0
Mod8 49 = 1
Mod8 50 = 2
Mod8 51 = 3
Mod8 52 = 4
Mod8 53 = 5
Mod8 54 = 6
Mod8 55 = 7
Mod8 56 = 0
Mod8 57 = 1
Mod8 58 = 2
Mod8 59 = 3
Mod8 60 = 4
Mod8 61 = 5
Mod8 62 = 6
Mod8 63 = 7
Mod8 n = Mod8 (n - 64)

type IsDivisibleBy8 bitLen = IsDiv8 bitLen bitLen ~ ' True Source #