symantic-lib-0.0.3.20180213: Symantics for common types.

Safe HaskellNone
LanguageHaskell2010

Language.Symantic.Lib.Integral

Contents

Description

Symantic for Integral.

Synopsis

Class Sym_Integral

class Sym_Integral term where Source #

Methods

quot :: Integral i => term i -> term i -> term i infixl 7 Source #

rem :: Integral i => term i -> term i -> term i infixl 7 Source #

div :: Integral i => term i -> term i -> term i infixl 7 Source #

mod :: Integral i => term i -> term i -> term i infixl 7 Source #

quotRem :: Integral i => term i -> term i -> term (i, i) Source #

divMod :: Integral i => term i -> term i -> term (i, i) Source #

toInteger :: Integral i => term i -> term Integer Source #

quot :: Sym_Integral (UnT term) => Trans term => Integral i => term i -> term i -> term i infixl 7 Source #

rem :: Sym_Integral (UnT term) => Trans term => Integral i => term i -> term i -> term i infixl 7 Source #

div :: Sym_Integral (UnT term) => Trans term => Integral i => term i -> term i -> term i infixl 7 Source #

mod :: Sym_Integral (UnT term) => Trans term => Integral i => term i -> term i -> term i infixl 7 Source #

quotRem :: Sym_Integral (UnT term) => Trans term => Integral i => term i -> term i -> term (i, i) Source #

divMod :: Sym_Integral (UnT term) => Trans term => Integral i => term i -> term i -> term (i, i) Source #

toInteger :: Sym_Integral (UnT term) => Trans term => Integral i => term i -> term Integer Source #

Instances

Sym_Integral View Source # 

Methods

quot :: Integral i => View i -> View i -> View i Source #

rem :: Integral i => View i -> View i -> View i Source #

div :: Integral i => View i -> View i -> View i Source #

mod :: Integral i => View i -> View i -> View i Source #

quotRem :: Integral i => View i -> View i -> View (i, i) Source #

divMod :: Integral i => View i -> View i -> View (i, i) Source #

toInteger :: Integral i => View i -> View Integer Source #

Sym_Integral Eval Source # 

Methods

quot :: Integral i => Eval i -> Eval i -> Eval i Source #

rem :: Integral i => Eval i -> Eval i -> Eval i Source #

div :: Integral i => Eval i -> Eval i -> Eval i Source #

mod :: Integral i => Eval i -> Eval i -> Eval i Source #

quotRem :: Integral i => Eval i -> Eval i -> Eval (i, i) Source #

divMod :: Integral i => Eval i -> Eval i -> Eval (i, i) Source #

toInteger :: Integral i => Eval i -> Eval Integer Source #

(Sym_Integral term, Sym_Lambda term) => Sym_Integral (BetaT term) Source # 

Methods

quot :: Integral i => BetaT term i -> BetaT term i -> BetaT term i Source #

rem :: Integral i => BetaT term i -> BetaT term i -> BetaT term i Source #

div :: Integral i => BetaT term i -> BetaT term i -> BetaT term i Source #

mod :: Integral i => BetaT term i -> BetaT term i -> BetaT term i Source #

quotRem :: Integral i => BetaT term i -> BetaT term i -> BetaT term (i, i) Source #

divMod :: Integral i => BetaT term i -> BetaT term i -> BetaT term (i, i) Source #

toInteger :: Integral i => BetaT term i -> BetaT term Integer Source #

(Sym_Integral r1, Sym_Integral r2) => Sym_Integral (Dup r1 r2) Source # 

Methods

quot :: Integral i => Dup r1 r2 i -> Dup r1 r2 i -> Dup r1 r2 i Source #

rem :: Integral i => Dup r1 r2 i -> Dup r1 r2 i -> Dup r1 r2 i Source #

div :: Integral i => Dup r1 r2 i -> Dup r1 r2 i -> Dup r1 r2 i Source #

mod :: Integral i => Dup r1 r2 i -> Dup r1 r2 i -> Dup r1 r2 i Source #

quotRem :: Integral i => Dup r1 r2 i -> Dup r1 r2 i -> Dup r1 r2 (i, i) Source #

divMod :: Integral i => Dup r1 r2 i -> Dup r1 r2 i -> Dup r1 r2 (i, i) Source #

toInteger :: Integral i => Dup r1 r2 i -> Dup r1 r2 Integer Source #

Types

tyIntegral :: Source src => Type src vs a -> Type src vs (Integral a) Source #

Terms

teIntegral_quotRem :: TermDef Integral '[Proxy a] (Integral a #> (a -> a -> (a, a))) Source #

teIntegral_divMod :: TermDef Integral '[Proxy a] (Integral a #> (a -> a -> (a, a))) Source #

Orphan instances

ClassInstancesFor (* -> Constraint) Integral Source # 

Methods

proveConstraintFor :: Source src => proxy c -> Type Constraint src vs q -> Maybe (Qual q) #

TypeInstancesFor (* -> Constraint) Integral Source # 

Methods

expandFamFor :: Source src => proxy c -> Len Type vs -> Const kt src fam -> Types src vs ts -> Maybe (Type kt src vs (Fam kt fam ts)) #

NameTyOf (* -> Constraint) Integral Source # 

Methods

nameTyOf :: proxy c -> Mod NameTy #

isNameTyOp :: proxy c -> Bool #

FixityOf (* -> Constraint) Integral Source # 

Methods

fixityOf :: proxy c -> Maybe Fixity #

(Source src, SymInj (* -> Constraint) ss Integral) => ModuleFor (* -> Constraint) src ss Integral Source # 
Gram_Term_AtomsFor (* -> Constraint) src ss g Integral Source # 

Methods

g_term_atomsFor :: [CF Integral (AST_Term ss g)] #