quox/lib/Quox/Syntax/Qty.idr

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module Quox.Syntax.Qty
import Quox.Pretty
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import public Quox.Decidable
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import Data.DPair
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%default total
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private
commas : List (Doc HL) -> List (Doc HL)
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commas [] = []
commas [x] = [x]
commas (x::xs) = (x <+> hl Delim ",") :: commas xs
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export %inline
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prettyQtyBinds : Pretty.HasEnv m => PrettyHL q => List q -> m (Doc HL)
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prettyQtyBinds =
map ((hl Delim "@" <++>) . align . sep . commas) . traverse pretty0M
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public export
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interface Eq q => IsQty q where
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zero, one : q
(+), (*) : q -> q -> q
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||| true if bindings of this quantity will be erased
||| and must not be runtime relevant
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IsZero : Pred q
isZero : Dec1 IsZero
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zeroIsZero : IsZero zero
||| ``p `Compat` q`` if it is ok for a binding of
||| quantity `q` to be used exactly `p` times.
||| e.g. ``1 `Compat` 1``, ``1 `Compat` ω``
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Compat : Rel q
compat : Dec2 Compat
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||| true if it is ok for this quantity to appear for the
||| subject of a typing judgement. this is about the
||| subject reduction stuff in atkey
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IsSubj : Pred q
isSubj : Dec1 IsSubj
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zeroIsSubj : IsSubj zero
oneIsSubj : IsSubj one
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timesSubj : forall pi, rh. IsSubj pi -> IsSubj rh -> IsSubj (pi * rh)
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||| true if it is ok for a global definition to have this
||| quantity. so not exact usage counts, maybe.
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IsGlobal : Pred q
isGlobal : Dec1 IsGlobal
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zeroIsGlobal : IsGlobal zero
public export
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0 SQty : (q : Type) -> IsQty q => Type
SQty q = Subset q IsSubj
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public export %inline
szero : IsQty q => SQty q
szero = Element zero zeroIsSubj
public export %inline
sone : IsQty q => SQty q
sone = Element one oneIsSubj
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public export
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0 GQty : (q : Type) -> IsQty q => Type
GQty q = Subset q IsGlobal
public export %inline
gzero : IsQty q => GQty q
gzero = Element zero zeroIsGlobal