{-

Some basic utilities for reflection

-}
{-# OPTIONS --no-exact-split --safe #-}
module Cubical.Reflection.Base where

open import Cubical.Foundations.Prelude
open import Cubical.Data.List.Base
open import Cubical.Data.Nat.Base

import Agda.Builtin.Reflection as R
open import Agda.Builtin.String

_>>=_ = R.bindTC
_<|>_ = R.catchTC

_$_ :  { ℓ'} {A : Type } {B : Type ℓ'}  (A  B)  A  B
f $ a = f a

_>>_ :  { ℓ'} {A : Type } {B : Type ℓ'}  R.TC A  R.TC B  R.TC B
f >> g = f >>= λ _  g

infixl 4 _>>=_ _>>_ _<|>_
infixr 3 _$_

liftTC :  { ℓ'} {A : Type } {B : Type ℓ'}  (A  B)  R.TC A  R.TC B
liftTC f ta = ta >>= λ a  R.returnTC (f a)

v :   R.Term
v n = R.var n []

pattern varg t = R.arg (R.arg-info R.visible (R.modality R.relevant R.quantity-ω)) t
pattern harg {q = q} t = R.arg (R.arg-info R.hidden (R.modality R.relevant q)) t
pattern _v∷_ a l = varg a  l
pattern _h∷_ a l = harg a  l

infixr 5 _v∷_ _h∷_

vlam : String  R.Term  R.Term
vlam str t = R.lam R.visible (R.abs str t)

hlam : String  R.Term  R.Term
hlam str t = R.lam R.hidden (R.abs str t)

newMeta = R.checkType R.unknown

makeAuxiliaryDef : String  R.Type  R.Term  R.TC R.Term
makeAuxiliaryDef s ty term =
  R.freshName s >>= λ name 
  R.declareDef (varg name) ty >>
  R.defineFun name [ R.clause [] [] term ] >>
  R.returnTC (R.def name [])