0918a599ae
@kha The VM versions just throw exceptions. They are just stubs to make sure we can compile Lean. I implemented the uint functions in the new runtime, but there are a few missing cases marked with TODO. I needed these builtins to be able to compile the C++ generated code for corelib.
181 lines
7.9 KiB
Text
181 lines
7.9 KiB
Text
/-
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Copyright (c) 2018 Microsoft Corporation. All rights reserved.
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Released under Apache 2.0 license as described in the file LICENSE.
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Authors: Leonardo de Moura
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-/
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prelude
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import init.data.fin.basic
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open nat
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def uint8_sz : nat := 256
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structure uint8 :=
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(val : fin uint8_sz)
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def uint8.of_nat (n : nat) : uint8 := ⟨fin.of_nat n⟩
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def uint8.to_nat (n : uint8) : nat := n.val.val
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def uint8.add (a b : uint8) : uint8 := ⟨a.val + b.val⟩
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def uint8.sub (a b : uint8) : uint8 := ⟨a.val - b.val⟩
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def uint8.mul (a b : uint8) : uint8 := ⟨a.val * b.val⟩
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def uint8.div (a b : uint8) : uint8 := ⟨a.val / b.val⟩
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def uint8.mod (a b : uint8) : uint8 := ⟨a.val % b.val⟩
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def uint8.modn (a : uint8) (n : nat) : uint8 := ⟨a.val %ₙ n⟩
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def uint8.lt (a b : uint8) : Prop := a.val < b.val
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def uint8.le (a b : uint8) : Prop := a.val ≤ b.val
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instance : has_zero uint8 := ⟨uint8.of_nat 0⟩
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instance : has_one uint8 := ⟨uint8.of_nat 1⟩
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instance : has_add uint8 := ⟨uint8.add⟩
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instance : has_sub uint8 := ⟨uint8.sub⟩
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instance : has_mul uint8 := ⟨uint8.mul⟩
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instance : has_mod uint8 := ⟨uint8.mod⟩
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instance : has_modn uint8 := ⟨uint8.modn⟩
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instance : has_div uint8 := ⟨uint8.div⟩
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instance : has_lt uint8 := ⟨uint8.lt⟩
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instance : has_le uint8 := ⟨uint8.le⟩
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instance : inhabited uint8 := ⟨0⟩
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def uint8.dec_eq (a b : uint8) : decidable (a = b) :=
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uint8.cases_on a $ λ n, uint8.cases_on b $ λ m,
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if h : n = m then is_true (h ▸ rfl) else is_false (λ h', uint8.no_confusion h' (λ h', absurd h' h))
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def uint8.dec_lt (a b : uint8) : decidable (a < b) :=
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uint8.cases_on a $ λ n, uint8.cases_on b $ λ m,
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infer_instance_as (decidable (n < m))
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def uint8.dec_le (a b : uint8) : decidable (a ≤ b) :=
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uint8.cases_on a $ λ n, uint8.cases_on b $ λ m,
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infer_instance_as (decidable (n <= m))
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instance : decidable_eq uint8 := {dec_eq := uint8.dec_eq}
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instance uint8.has_decidable_lt (a b : uint8) : decidable (a < b) := uint8.dec_lt a b
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instance uint8.has_decidable_le (a b : uint8) : decidable (a ≤ b) := uint8.dec_le a b
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def uint16_sz : nat := 65536
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structure uint16 :=
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(val : fin uint16_sz)
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def uint16.of_nat (n : nat) : uint16 := ⟨fin.of_nat n⟩
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def uint16.to_nat (n : uint16) : nat := n.val.val
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def uint16.add (a b : uint16) : uint16 := ⟨a.val + b.val⟩
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def uint16.sub (a b : uint16) : uint16 := ⟨a.val - b.val⟩
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def uint16.mul (a b : uint16) : uint16 := ⟨a.val * b.val⟩
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def uint16.div (a b : uint16) : uint16 := ⟨a.val / b.val⟩
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def uint16.mod (a b : uint16) : uint16 := ⟨a.val % b.val⟩
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def uint16.modn (a : uint16) (n : nat) : uint16 := ⟨a.val %ₙ n⟩
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def uint16.lt (a b : uint16) : Prop := a.val < b.val
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def uint16.le (a b : uint16) : Prop := a.val ≤ b.val
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instance : has_zero uint16 := ⟨uint16.of_nat 0⟩
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instance : has_one uint16 := ⟨uint16.of_nat 1⟩
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instance : has_add uint16 := ⟨uint16.add⟩
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instance : has_sub uint16 := ⟨uint16.sub⟩
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instance : has_mul uint16 := ⟨uint16.mul⟩
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instance : has_mod uint16 := ⟨uint16.mod⟩
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instance : has_modn uint16 := ⟨uint16.modn⟩
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instance : has_div uint16 := ⟨uint16.div⟩
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instance : has_lt uint16 := ⟨uint16.lt⟩
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instance : has_le uint16 := ⟨uint16.le⟩
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instance : inhabited uint16 := ⟨0⟩
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def uint16.dec_eq (a b : uint16) : decidable (a = b) :=
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uint16.cases_on a $ λ n, uint16.cases_on b $ λ m,
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if h : n = m then is_true (h ▸ rfl) else is_false (λ h', uint16.no_confusion h' (λ h', absurd h' h))
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def uint16.dec_lt (a b : uint16) : decidable (a < b) :=
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uint16.cases_on a $ λ n, uint16.cases_on b $ λ m,
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infer_instance_as (decidable (n < m))
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def uint16.dec_le (a b : uint16) : decidable (a ≤ b) :=
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uint16.cases_on a $ λ n, uint16.cases_on b $ λ m,
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infer_instance_as (decidable (n <= m))
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instance : decidable_eq uint16 := {dec_eq := uint16.dec_eq}
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instance uint16.has_decidable_lt (a b : uint16) : decidable (a < b) := uint16.dec_lt a b
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instance uint16.has_decidable_le (a b : uint16) : decidable (a ≤ b) := uint16.dec_le a b
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def uint32_sz : nat := 4294967296
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structure uint32 :=
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(val : fin uint32_sz)
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def uint32.of_nat (n : nat) : uint32 := ⟨fin.of_nat n⟩
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def uint32.to_nat (n : uint32) : nat := n.val.val
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def uint32.add (a b : uint32) : uint32 := ⟨a.val + b.val⟩
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def uint32.sub (a b : uint32) : uint32 := ⟨a.val - b.val⟩
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def uint32.mul (a b : uint32) : uint32 := ⟨a.val * b.val⟩
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def uint32.div (a b : uint32) : uint32 := ⟨a.val / b.val⟩
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def uint32.mod (a b : uint32) : uint32 := ⟨a.val % b.val⟩
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def uint32.modn (a : uint32) (n : nat) : uint32 := ⟨a.val %ₙ n⟩
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def uint32.lt (a b : uint32) : Prop := a.val < b.val
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def uint32.le (a b : uint32) : Prop := a.val ≤ b.val
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instance : has_zero uint32 := ⟨uint32.of_nat 0⟩
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instance : has_one uint32 := ⟨uint32.of_nat 1⟩
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instance : has_add uint32 := ⟨uint32.add⟩
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instance : has_sub uint32 := ⟨uint32.sub⟩
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instance : has_mul uint32 := ⟨uint32.mul⟩
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instance : has_mod uint32 := ⟨uint32.mod⟩
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instance : has_modn uint32 := ⟨uint32.modn⟩
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instance : has_div uint32 := ⟨uint32.div⟩
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instance : has_lt uint32 := ⟨uint32.lt⟩
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instance : has_le uint32 := ⟨uint32.le⟩
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instance : inhabited uint32 := ⟨0⟩
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def uint32.dec_eq (a b : uint32) : decidable (a = b) :=
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uint32.cases_on a $ λ n, uint32.cases_on b $ λ m,
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if h : n = m then is_true (h ▸ rfl) else is_false (λ h', uint32.no_confusion h' (λ h', absurd h' h))
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def uint32.dec_lt (a b : uint32) : decidable (a < b) :=
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uint32.cases_on a $ λ n, uint32.cases_on b $ λ m,
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infer_instance_as (decidable (n < m))
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def uint32.dec_le (a b : uint32) : decidable (a ≤ b) :=
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uint32.cases_on a $ λ n, uint32.cases_on b $ λ m,
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infer_instance_as (decidable (n <= m))
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instance : decidable_eq uint32 := {dec_eq := uint32.dec_eq}
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instance uint32.has_decidable_lt (a b : uint32) : decidable (a < b) := uint32.dec_lt a b
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instance uint32.has_decidable_le (a b : uint32) : decidable (a ≤ b) := uint32.dec_le a b
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def uint64_sz : nat := 18446744073709551616
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structure uint64 :=
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(val : fin uint64_sz)
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def uint64.of_nat (n : nat) : uint64 := ⟨fin.of_nat n⟩
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def uint64.to_nat (n : uint64) : nat := n.val.val
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def uint64.add (a b : uint64) : uint64 := ⟨a.val + b.val⟩
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def uint64.sub (a b : uint64) : uint64 := ⟨a.val - b.val⟩
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def uint64.mul (a b : uint64) : uint64 := ⟨a.val * b.val⟩
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def uint64.div (a b : uint64) : uint64 := ⟨a.val / b.val⟩
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def uint64.mod (a b : uint64) : uint64 := ⟨a.val % b.val⟩
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def uint64.modn (a : uint64) (n : nat) : uint64 := ⟨a.val %ₙ n⟩
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def uint64.lt (a b : uint64) : Prop := a.val < b.val
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def uint64.le (a b : uint64) : Prop := a.val ≤ b.val
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instance : has_zero uint64 := ⟨uint64.of_nat 0⟩
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instance : has_one uint64 := ⟨uint64.of_nat 1⟩
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instance : has_add uint64 := ⟨uint64.add⟩
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instance : has_sub uint64 := ⟨uint64.sub⟩
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instance : has_mul uint64 := ⟨uint64.mul⟩
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instance : has_mod uint64 := ⟨uint64.mod⟩
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instance : has_modn uint64 := ⟨uint64.modn⟩
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instance : has_div uint64 := ⟨uint64.div⟩
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instance : has_lt uint64 := ⟨uint64.lt⟩
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instance : has_le uint64 := ⟨uint64.le⟩
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instance : inhabited uint64 := ⟨0⟩
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def uint64.dec_eq (a b : uint64) : decidable (a = b) :=
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uint64.cases_on a $ λ n, uint64.cases_on b $ λ m,
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if h : n = m then is_true (h ▸ rfl) else is_false (λ h', uint64.no_confusion h' (λ h', absurd h' h))
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def uint64.dec_lt (a b : uint64) : decidable (a < b) :=
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uint64.cases_on a $ λ n, uint64.cases_on b $ λ m,
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infer_instance_as (decidable (n < m))
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def uint64.dec_le (a b : uint64) : decidable (a ≤ b) :=
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uint64.cases_on a $ λ n, uint64.cases_on b $ λ m,
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infer_instance_as (decidable (n <= m))
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instance : decidable_eq uint64 := {dec_eq := uint64.dec_eq}
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instance uint64.has_decidable_lt (a b : uint64) : decidable (a < b) := uint64.dec_lt a b
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instance uint64.has_decidable_le (a b : uint64) : decidable (a ≤ b) := uint64.dec_le a b
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