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|
------------------------------------------------------------------------
-- Agda Helium
--
-- Definitions of a subset of Armv8-M instructions.
------------------------------------------------------------------------
{-# OPTIONS --safe --without-K #-}
module Helium.Instructions where
open import Data.Bool
open import Data.Fin
open import Data.Nat hiding (pred)
open import Data.Product using (∃; _×_; _,_)
open import Data.Sum
open import Relation.Binary.PropositionalEquality
GenReg : Set
GenReg = Fin 16
VecReg : Set
VecReg = Fin 8
record VecOp₂ : Set where
field
size : Fin 3
dest : VecReg
src₁ : VecReg
src₂ : GenReg ⊎ VecReg
private
split32 : ∃ λ (elements : Fin 5) → ∃ λ (esize>>3-1 : Fin 4) → ∃ λ (esize-1 : Fin 32) → (8 * toℕ (suc esize>>3-1) ≡ toℕ (suc esize-1)) × (toℕ elements * toℕ (suc esize-1) ≡ 32) × (toℕ elements * toℕ (suc esize>>3-1) ≡ 4)
split32 = helper size
where
helper : _ → _
helper zero = # 4 , # 0 , # 7 , refl , refl , refl
helper (suc zero) = # 2 , # 1 , # 15 , refl , refl , refl
helper (suc (suc zero)) = # 1 , # 3 , # 31 , refl , refl , refl
elements : Fin 5
elements with (elmt , _ ) ← split32 = elmt
esize>>3-1 : Fin 4
esize>>3-1 with (_ , esize>>3-1 , _) ← split32 = esize>>3-1
esize>>3 : Fin 5
esize>>3 = suc esize>>3-1
esize-1 : Fin 32
esize-1 with (_ , _ , esize-1 , _) ← split32 = esize-1
esize : Fin 33
esize = suc esize-1
8*e>>3≡e : 8 * toℕ esize>>3 ≡ toℕ esize
8*e>>3≡e with (_ , _ , _ , eq , _) ← split32 = eq
e*e≡32 : toℕ elements * toℕ esize ≡ 32
e*e≡32 with (_ , _ , _ , _ , eq , _) ← split32 = eq
e*e>>3≡4 : toℕ elements * toℕ esize>>3 ≡ 4
e*e>>3≡4 with (_ , _ , _ , _ , _ , eq) ← split32 = eq
VAdd = VecOp₂
VSub = VecOp₂
record VHSub : Set where
field
op₂ : VecOp₂
unsigned : Bool
open VecOp₂ op₂ public
VMul = VecOp₂
record VMulH : Set where
field
op₂ : VecOp₂
unsigned : Bool
rounding : Bool
open VecOp₂ op₂ public
record VQDMulH : Set where
field
op₂ : VecOp₂
rounding : Bool
open VecOp₂ op₂ public
data Instruction : Set where
vadd : VAdd → Instruction
vsub : VSub → Instruction
vmul : VMul → Instruction
vmulh : VMulH → Instruction
vqdmulh : VQDMulH → Instruction
|
