/-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.data.fin.basic

open nat
def uint16_sz : nat := 65536
def uint16 := fin uint16_sz

def uint32_sz : nat := 4294967296
def uint32 := fin uint32_sz

def uint64_sz : nat := 18446744073709551616
def uint64 := fin uint64_sz

instance : decidable_eq uint16 :=
have decidable_eq (fin uint16_sz), from fin.decidable_eq _,
this

instance : decidable_eq uint32 :=
have decidable_eq (fin uint32_sz), from fin.decidable_eq _,
this

instance : decidable_eq uint64 :=
have decidable_eq (fin uint64_sz), from fin.decidable_eq _,
this

instance : has_zero uint16 := ⟨fin.of_nat 0⟩
instance : has_one uint16  := ⟨fin.of_nat 1⟩
instance : has_add uint16  := ⟨fin.add⟩
instance : has_sub uint16  := ⟨fin.sub⟩
instance : has_mul uint16  := ⟨fin.mul⟩
instance : has_mod uint16  := ⟨fin.mod⟩
instance : has_div uint16  := ⟨fin.div⟩
instance : has_lt uint16   := ⟨fin.lt⟩
instance : has_le uint16   := ⟨fin.le⟩

instance : has_zero uint32 := ⟨fin.of_nat 0⟩
instance : has_one uint32  := ⟨fin.of_nat 1⟩
instance : has_add uint32  := ⟨fin.add⟩
instance : has_sub uint32  := ⟨fin.sub⟩
instance : has_mul uint32  := ⟨fin.mul⟩
instance : has_mod uint32  := ⟨fin.mod⟩
instance : has_div uint32  := ⟨fin.div⟩
instance : has_lt uint32   := ⟨fin.lt⟩
instance : has_le uint32   := ⟨fin.le⟩

instance : has_zero uint64 := ⟨fin.of_nat 0⟩
instance : has_one uint64  := ⟨fin.of_nat 1⟩
instance : has_add uint64  := ⟨fin.add⟩
instance : has_sub uint64  := ⟨fin.sub⟩
instance : has_mul uint64  := ⟨fin.mul⟩
instance : has_mod uint64  := ⟨fin.mod⟩
instance : has_div uint64  := ⟨fin.div⟩
instance : has_lt uint64   := ⟨fin.lt⟩
instance : has_le uint64   := ⟨fin.le⟩

def uint16.of_nat (n : nat) : uint16 :=
fin.of_nat n

def uint16.to_nat (u : uint16) : nat :=
fin.val u

def uint32.of_nat (n : nat) : uint32 :=
fin.of_nat n

def uint32.to_nat (u : uint32) : nat :=
fin.val u

def uint64.of_nat (n : nat) : uint64 :=
fin.of_nat n

def uint64.to_nat (u : uint64) : nat :=
fin.val u