Camfort.Specification.Hoare.Syntax

Defines the syntax of invariant annotations. See Camfort.Specification.Hoare for a high-level overview.

In this module, the word 'primitive' is used to refer to untyped expression syntax (as opposed to the typed expression syntax defined in Language.Fortran.Model.Op).

Syntax Types

data PrimLogic a

A type of primitive logical operators.

Constructors

PLAnd a a

PLOr a a

PLImpl a a

PLEquiv a a

PLNot a

PLLit Bool

Instances

Functor PrimLogic

Defined in Camfort.Specification.Hoare.Syntax

Methods

fmap :: (a -> b) -> PrimLogic a -> PrimLogic b

(<$) :: a -> PrimLogic b -> PrimLogic a

Foldable PrimLogic

Defined in Camfort.Specification.Hoare.Syntax

Methods

fold :: Monoid m => PrimLogic m -> m

foldMap :: Monoid m => (a -> m) -> PrimLogic a -> m

foldMap' :: Monoid m => (a -> m) -> PrimLogic a -> m

foldr :: (a -> b -> b) -> b -> PrimLogic a -> b

foldr' :: (a -> b -> b) -> b -> PrimLogic a -> b

foldl :: (b -> a -> b) -> b -> PrimLogic a -> b

foldl' :: (b -> a -> b) -> b -> PrimLogic a -> b

foldr1 :: (a -> a -> a) -> PrimLogic a -> a

foldl1 :: (a -> a -> a) -> PrimLogic a -> a

toList :: PrimLogic a -> [a]

null :: PrimLogic a -> Bool

length :: PrimLogic a -> Int

elem :: Eq a => a -> PrimLogic a -> Bool

maximum :: Ord a => PrimLogic a -> a

minimum :: Ord a => PrimLogic a -> a

sum :: Num a => PrimLogic a -> a

product :: Num a => PrimLogic a -> a

Traversable PrimLogic

Defined in Camfort.Specification.Hoare.Syntax

Methods

traverse :: Applicative f => (a -> f b) -> PrimLogic a -> f (PrimLogic b)

sequenceA :: Applicative f => PrimLogic (f a) -> f (PrimLogic a)

mapM :: Monad m => (a -> m b) -> PrimLogic a -> m (PrimLogic b)

sequence :: Monad m => PrimLogic (m a) -> m (PrimLogic a)

Eq a => Eq (PrimLogic a)

Defined in Camfort.Specification.Hoare.Syntax

Methods

(==) :: PrimLogic a -> PrimLogic a -> Bool

(/=) :: PrimLogic a -> PrimLogic a -> Bool

Data a => Data (PrimLogic a)

Defined in Camfort.Specification.Hoare.Syntax

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> PrimLogic a -> c (PrimLogic a)

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (PrimLogic a)

toConstr :: PrimLogic a -> Constr

dataTypeOf :: PrimLogic a -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (PrimLogic a))

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (PrimLogic a))

gmapT :: (forall b. Data b => b -> b) -> PrimLogic a -> PrimLogic a

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> PrimLogic a -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> PrimLogic a -> r

gmapQ :: (forall d. Data d => d -> u) -> PrimLogic a -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> PrimLogic a -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> PrimLogic a -> m (PrimLogic a)

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> PrimLogic a -> m (PrimLogic a)

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> PrimLogic a -> m (PrimLogic a)

Show a => Show (PrimLogic a)

Defined in Camfort.Specification.Hoare.Syntax

Methods

showsPrec :: Int -> PrimLogic a -> ShowS

show :: PrimLogic a -> String

showList :: [PrimLogic a] -> ShowS

data PrimFormula ann

Logical expressions over Fortran expressions.

Constructors

PFExpr (Expression ann)

PFLogical (PrimLogic (PrimFormula ann))

Instances

Functor PrimFormula

Defined in Camfort.Specification.Hoare.Syntax

Methods

fmap :: (a -> b) -> PrimFormula a -> PrimFormula b

(<$) :: a -> PrimFormula b -> PrimFormula a

Eq ann => Eq (PrimFormula ann)

Defined in Camfort.Specification.Hoare.Syntax

Methods

(==) :: PrimFormula ann -> PrimFormula ann -> Bool

(/=) :: PrimFormula ann -> PrimFormula ann -> Bool

Data ann => Data (PrimFormula ann)

Defined in Camfort.Specification.Hoare.Syntax

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> PrimFormula ann -> c (PrimFormula ann)

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (PrimFormula ann)

toConstr :: PrimFormula ann -> Constr

dataTypeOf :: PrimFormula ann -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (PrimFormula ann))

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (PrimFormula ann))

gmapT :: (forall b. Data b => b -> b) -> PrimFormula ann -> PrimFormula ann

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> PrimFormula ann -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> PrimFormula ann -> r

gmapQ :: (forall d. Data d => d -> u) -> PrimFormula ann -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> PrimFormula ann -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> PrimFormula ann -> m (PrimFormula ann)

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> PrimFormula ann -> m (PrimFormula ann)

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> PrimFormula ann -> m (PrimFormula ann)

Show ann => Show (PrimFormula ann)

Defined in Camfort.Specification.Hoare.Syntax

Methods

showsPrec :: Int -> PrimFormula ann -> ShowS

show :: PrimFormula ann -> String

showList :: [PrimFormula ann] -> ShowS

Show a => Pretty (PrimFormula a)

Defined in Camfort.Specification.Hoare.Syntax

Methods

pretty :: PrimFormula a -> String

prettysPrec :: Int -> PrimFormula a -> ShowS

data SpecKind

Labels for the keyword used in static_assert annotations.

Constructors

SpecPre

static_assert pre(...)

SpecPost

static_assert post(...)

SpecSeq

static_assert seq(...)

SpecInvariant

static_assert invariant(...)

Instances

Eq SpecKind

Defined in Camfort.Specification.Hoare.Syntax

Methods

(==) :: SpecKind -> SpecKind -> Bool

(/=) :: SpecKind -> SpecKind -> Bool

Data SpecKind

Defined in Camfort.Specification.Hoare.Syntax

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> SpecKind -> c SpecKind

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c SpecKind

toConstr :: SpecKind -> Constr

dataTypeOf :: SpecKind -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c SpecKind)

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c SpecKind)

gmapT :: (forall b. Data b => b -> b) -> SpecKind -> SpecKind

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> SpecKind -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> SpecKind -> r

gmapQ :: (forall d. Data d => d -> u) -> SpecKind -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> SpecKind -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> SpecKind -> m SpecKind

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> SpecKind -> m SpecKind

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> SpecKind -> m SpecKind

Show SpecKind

Defined in Camfort.Specification.Hoare.Syntax

Methods

showsPrec :: Int -> SpecKind -> ShowS

show :: SpecKind -> String

showList :: [SpecKind] -> ShowS

data Specification a

A static_assert annotation.

Constructors

Specification

Fields

• _specType :: SpecKind
• _specFormula :: a

Instances

Functor Specification

Defined in Camfort.Specification.Hoare.Syntax

Methods

fmap :: (a -> b) -> Specification a -> Specification b

(<$) :: a -> Specification b -> Specification a

Eq a => Eq (Specification a)

Defined in Camfort.Specification.Hoare.Syntax

Methods

(==) :: Specification a -> Specification a -> Bool

(/=) :: Specification a -> Specification a -> Bool

Data a => Data (Specification a)

Defined in Camfort.Specification.Hoare.Syntax

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Specification a -> c (Specification a)

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Specification a)

toConstr :: Specification a -> Constr

dataTypeOf :: Specification a -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Specification a))

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Specification a))

gmapT :: (forall b. Data b => b -> b) -> Specification a -> Specification a

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Specification a -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Specification a -> r

gmapQ :: (forall d. Data d => d -> u) -> Specification a -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> Specification a -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Specification a -> m (Specification a)

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Specification a -> m (Specification a)

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Specification a -> m (Specification a)

Pretty a => Show (Specification a)

Defined in Camfort.Specification.Hoare.Syntax

Methods

showsPrec :: Int -> Specification a -> ShowS

show :: Specification a -> String

showList :: [Specification a] -> ShowS

data AuxDecl ann

A decl_aux annotation.

Constructors

AuxDecl

Fields

• _adName :: Name
• _adTy :: TypeSpec ann

Instances

Functor AuxDecl

Defined in Camfort.Specification.Hoare.Syntax

Methods

fmap :: (a -> b) -> AuxDecl a -> AuxDecl b

(<$) :: a -> AuxDecl b -> AuxDecl a

Eq ann => Eq (AuxDecl ann)

Defined in Camfort.Specification.Hoare.Syntax

Methods

(==) :: AuxDecl ann -> AuxDecl ann -> Bool

(/=) :: AuxDecl ann -> AuxDecl ann -> Bool

Data ann => Data (AuxDecl ann)

Defined in Camfort.Specification.Hoare.Syntax

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> AuxDecl ann -> c (AuxDecl ann)

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (AuxDecl ann)

toConstr :: AuxDecl ann -> Constr

dataTypeOf :: AuxDecl ann -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (AuxDecl ann))

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (AuxDecl ann))

gmapT :: (forall b. Data b => b -> b) -> AuxDecl ann -> AuxDecl ann

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> AuxDecl ann -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> AuxDecl ann -> r

gmapQ :: (forall d. Data d => d -> u) -> AuxDecl ann -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> AuxDecl ann -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> AuxDecl ann -> m (AuxDecl ann)

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> AuxDecl ann -> m (AuxDecl ann)

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> AuxDecl ann -> m (AuxDecl ann)

Show ann => Show (AuxDecl ann)

Defined in Camfort.Specification.Hoare.Syntax

Methods

showsPrec :: Int -> AuxDecl ann -> ShowS

show :: AuxDecl ann -> String

showList :: [AuxDecl ann] -> ShowS

type PrimSpec ann = Specification (PrimFormula ann)

A specification over untyped logical expressions.

data SpecOrDecl ann

A static_assert or decl_aux annotation.

Constructors

SodSpec (PrimSpec ann)

SodDecl (AuxDecl ann)

Instances

Functor SpecOrDecl

Defined in Camfort.Specification.Hoare.Syntax

Methods

fmap :: (a -> b) -> SpecOrDecl a -> SpecOrDecl b

(<$) :: a -> SpecOrDecl b -> SpecOrDecl a

ASTEmbeddable HA (SpecOrDecl InnerHA)

Defined in Camfort.Specification.Hoare.Annotation

Methods

annotateWithAST :: HA -> SpecOrDecl InnerHA -> HA

Eq ann => Eq (SpecOrDecl ann)

Defined in Camfort.Specification.Hoare.Syntax

Methods

(==) :: SpecOrDecl ann -> SpecOrDecl ann -> Bool

(/=) :: SpecOrDecl ann -> SpecOrDecl ann -> Bool

Data ann => Data (SpecOrDecl ann)

Defined in Camfort.Specification.Hoare.Syntax

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> SpecOrDecl ann -> c (SpecOrDecl ann)

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (SpecOrDecl ann)

toConstr :: SpecOrDecl ann -> Constr

dataTypeOf :: SpecOrDecl ann -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (SpecOrDecl ann))

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (SpecOrDecl ann))

gmapT :: (forall b. Data b => b -> b) -> SpecOrDecl ann -> SpecOrDecl ann

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> SpecOrDecl ann -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> SpecOrDecl ann -> r

gmapQ :: (forall d. Data d => d -> u) -> SpecOrDecl ann -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> SpecOrDecl ann -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> SpecOrDecl ann -> m (SpecOrDecl ann)

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> SpecOrDecl ann -> m (SpecOrDecl ann)

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> SpecOrDecl ann -> m (SpecOrDecl ann)

Show ann => Show (SpecOrDecl ann)

Defined in Camfort.Specification.Hoare.Syntax

Methods

showsPrec :: Int -> SpecOrDecl ann -> ShowS

show :: SpecOrDecl ann -> String

showList :: [SpecOrDecl ann] -> ShowS

Lenses

specType :: forall a. Lens' (Specification a) SpecKind

specFormula :: forall a a. Lens (Specification a) (Specification a) a a

adTy :: forall ann ann. Lens (AuxDecl ann) (AuxDecl ann) (TypeSpec ann) (TypeSpec ann)

adName :: forall ann. Lens' (AuxDecl ann) Name

_Specification :: forall a a. Iso (Specification a) (Specification a) (SpecKind, a) (SpecKind, a)

_SodDecl :: forall ann. Prism' (SpecOrDecl ann) (AuxDecl ann)

_SodSpec :: forall ann. Prism' (SpecOrDecl ann) (PrimSpec ann)

refining :: Eq r => r -> APrism s t (a, r) (a, r) -> Prism s t a a

Given a prism p projecting a pair, refining x p projects values from the front left of the pair such that the right of the pair matches x.

>>> [1, 2, 3] ^? refining [] _Cons
Nothing

>>> [1] ^? refining [] _Cons
Just 1

_SpecPre :: Prism' (Specification a) a

Match a static_assert pre(...) annotation.

_SpecPost :: Prism' (Specification a) a

Match a static_assert post(...) annotation.

_SpecSeq :: Prism' (Specification a) a

Match a static_assert seq(...) annotation.

_SpecInvariant :: Prism' (Specification a) a

Match a static_assert invariant(...) annotation.