Copyright	(c) Sirui Lu 2021-2023
License	BSD-3-Clause (see the LICENSE file)
Maintainer	siruilu@cs.washington.edu
Stability	Experimental
Portability	GHC only
Safe Haskell	Trustworthy
Language	Haskell2010

Grisette.Internal.Core.Data.Class.Function

Contents

Function operations

Description

Synopsis

class Function f arg ret | f -> arg ret where
- (#) :: f -> arg -> ret
class Apply uf where
- type FunType uf
- apply :: uf -> FunType uf

Function operations

class Function f arg ret | f -> arg ret where Source #

Abstraction for function-like types.

Methods

(#) :: f -> arg -> ret infixl 9 Source #

Function application operator.

The operator is not right associated (like ($)). It is left associated, and you can provide many arguments with this operator once at a time.

>>> (+1) # 2
3

>>> (+) # 2 # 3
5

Instances

Instances details

(Function f arg ret, Mergeable f, Mergeable ret) => Function (Union f) arg (Union ret) Source #
Instance details Defined in Grisette.Internal.Internal.Impl.Core.Control.Monad.Union Methods (#) :: Union f -> arg -> Union ret Source #
(LinkedRep a sa, LinkedRep b sb) => Function (a --> b) sa sb Source #
Instance details Defined in Grisette.Internal.SymPrim.GeneralFun Methods (#) :: (a --> b) -> sa -> sb Source #
Function (sa -~> sb) sa sb Source #
Instance details Defined in Grisette.Internal.SymPrim.SymGeneralFun Methods (#) :: (sa -~> sb) -> sa -> sb Source #
Function (sa =~> sb) sa sb Source #
Instance details Defined in Grisette.Internal.SymPrim.SymTabularFun Methods (#) :: (sa =~> sb) -> sa -> sb Source #
Eq a => Function (a =-> b) a b Source #
Instance details Defined in Grisette.Internal.SymPrim.TabularFun Methods (#) :: (a =-> b) -> a -> b Source #
Function (a -> b) a b Source #
Instance details Defined in Grisette.Internal.Core.Data.Class.Function Methods (#) :: (a -> b) -> a -> b Source #

class Apply uf where Source #

Applying an uninterpreted function.

>>> let f = "f" :: SymInteger =~> SymInteger =~> SymInteger
>>> apply f "a" "b"
(apply (apply f a) b)

Note that for implementation reasons, you can also use apply function on a non-function symbolic value. In this case, the function is treated as an id function.

Associated Types

type FunType uf Source #

Methods

apply :: uf -> FunType uf Source #

Instances

Instances details

Apply AlgReal Source #
Instance details Defined in Grisette.Internal.SymPrim.AlgReal Associated Types type FunType AlgReal Source # Methods apply :: AlgReal -> FunType AlgReal Source #
Apply FPRoundingMode Source #
Instance details Defined in Grisette.Internal.SymPrim.FP Associated Types type FunType FPRoundingMode Source # Methods apply :: FPRoundingMode -> FunType FPRoundingMode Source #
Apply SymAlgReal Source #
Instance details Defined in Grisette.Internal.SymPrim.SymAlgReal Associated Types type FunType SymAlgReal Source # Methods apply :: SymAlgReal -> FunType SymAlgReal Source #
Apply SymBool Source #
Instance details Defined in Grisette.Internal.SymPrim.SymBool Associated Types type FunType SymBool Source # Methods apply :: SymBool -> FunType SymBool Source #
Apply SymFPRoundingMode Source #
Instance details Defined in Grisette.Internal.SymPrim.SymFP Associated Types type FunType SymFPRoundingMode Source # Methods apply :: SymFPRoundingMode -> FunType SymFPRoundingMode Source #
Apply SymInteger Source #
Instance details Defined in Grisette.Internal.SymPrim.SymInteger Associated Types type FunType SymInteger Source # Methods apply :: SymInteger -> FunType SymInteger Source #
Apply Integer Source #
Instance details Defined in Grisette.Internal.Core.Data.Class.Function Associated Types type FunType Integer Source # Methods apply :: Integer -> FunType Integer Source #
Apply Bool Source #
Instance details Defined in Grisette.Internal.Core.Data.Class.Function Associated Types type FunType Bool Source # Methods apply :: Bool -> FunType Bool Source #
Apply (IntN n) Source #
Instance details Defined in Grisette.Internal.SymPrim.BV Associated Types type FunType (IntN n) Source # Methods apply :: IntN n -> FunType (IntN n) Source #
Apply (WordN n) Source #
Instance details Defined in Grisette.Internal.SymPrim.BV Associated Types type FunType (WordN n) Source # Methods apply :: WordN n -> FunType (WordN n) Source #
(KnownNat n, 1 <= n) => Apply (SymIntN n) Source #
Instance details Defined in Grisette.Internal.SymPrim.SymBV Associated Types type FunType (SymIntN n) Source # Methods apply :: SymIntN n -> FunType (SymIntN n) Source #
(KnownNat n, 1 <= n) => Apply (SymWordN n) Source #
Instance details Defined in Grisette.Internal.SymPrim.SymBV Associated Types type FunType (SymWordN n) Source # Methods apply :: SymWordN n -> FunType (SymWordN n) Source #
Apply (FP eb sb) Source #
Instance details Defined in Grisette.Internal.SymPrim.FP Associated Types type FunType (FP eb sb) Source # Methods apply :: FP eb sb -> FunType (FP eb sb) Source #
(Apply st, LinkedRep ca sa, LinkedRep ct st) => Apply (ca --> ct) Source #
Instance details Defined in Grisette.Internal.SymPrim.GeneralFun Associated Types type FunType (ca --> ct) Source # Methods apply :: (ca --> ct) -> FunType (ca --> ct) Source #
ValidFP eb sb => Apply (SymFP eb sb) Source #
Instance details Defined in Grisette.Internal.SymPrim.SymFP Associated Types type FunType (SymFP eb sb) Source # Methods apply :: SymFP eb sb -> FunType (SymFP eb sb) Source #
Apply st => Apply (sa -~> st) Source #
Instance details Defined in Grisette.Internal.SymPrim.SymGeneralFun Associated Types type FunType (sa -~> st) Source # Methods apply :: (sa -~> st) -> FunType (sa -~> st) Source #
Apply st => Apply (sa =~> st) Source #
Instance details Defined in Grisette.Internal.SymPrim.SymTabularFun Associated Types type FunType (sa =~> st) Source # Methods apply :: (sa =~> st) -> FunType (sa =~> st) Source #
(Apply t, Eq a) => Apply (a =-> t) Source #
Instance details Defined in Grisette.Internal.SymPrim.TabularFun Associated Types type FunType (a =-> t) Source # Methods apply :: (a =-> t) -> FunType (a =-> t) Source #
Apply b => Apply (a -> b) Source #
Instance details Defined in Grisette.Internal.Core.Data.Class.Function Associated Types type FunType (a -> b) Source # Methods apply :: (a -> b) -> FunType (a -> b) Source #