Agda-2.6.2.2: A dependently typed functional programming language and proof assistant
Safe HaskellNone
LanguageHaskell2010

Agda.Syntax.Notation

Description

As a concrete name, a notation is a non-empty list of alternating IdParts and holes. In contrast to concrete names, holes can be binders.

Example: syntax fmap (λ x → e) xs = for x ∈ xs return e

The declared notation for fmap is for_∈_return_ where the first hole is a binder.

Synopsis

Documentation

data HoleName Source #

Data type constructed in the Happy parser; converted to GenPart before it leaves the Happy code.

Constructors

LambdaHole

x -> y; 1st argument is the bound name (unused for now).

ExprHole

Simple named hole with hiding.

Fields

isLambdaHole :: HoleName -> Bool Source #

Is the hole a binder?

stringParts :: Notation -> [String] Source #

Get a flat list of identifier parts of a notation.

holeTarget :: GenPart -> Maybe Int Source #

Target argument position of a part (Nothing if it is not a hole).

isAHole :: GenPart -> Bool Source #

Is the part a hole? WildHoles don't count since they don't correspond to anything the user writes.

isNormalHole :: GenPart -> Bool Source #

Is the part a normal hole?

isBindingHole :: GenPart -> Bool Source #

Is the part a binder?

data NotationKind Source #

Classification of notations.

Constructors

InfixNotation

Ex: _bla_blub_.

PrefixNotation

Ex: _bla_blub.

PostfixNotation

Ex: bla_blub_.

NonfixNotation

Ex: bla_blub.

NoNotation 

Instances

Instances details
Eq NotationKind Source # 
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Defined in Agda.Syntax.Notation

Show NotationKind Source # 
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Generic NotationKind Source # 
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Associated Types

type Rep NotationKind :: Type -> Type #

NFData NotationKind Source # 
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Methods

rnf :: NotationKind -> () #

Pretty NotationKind Source # 
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type Rep NotationKind Source # 
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Defined in Agda.Syntax.Notation

type Rep NotationKind = D1 ('MetaData "NotationKind" "Agda.Syntax.Notation" "Agda-2.6.2.2-DXbLWdCWC6QEApzM0094If" 'False) ((C1 ('MetaCons "InfixNotation" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "PrefixNotation" 'PrefixI 'False) (U1 :: Type -> Type)) :+: (C1 ('MetaCons "PostfixNotation" 'PrefixI 'False) (U1 :: Type -> Type) :+: (C1 ('MetaCons "NonfixNotation" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "NoNotation" 'PrefixI 'False) (U1 :: Type -> Type))))

notationKind :: Notation -> NotationKind Source #

Classify a notation by presence of leading and/or trailing normal holes.

mkNotation :: [NamedArg HoleName] -> [RString] -> Either String Notation Source #

From notation with names to notation with indices.

Example: ids = ["for", "x", "∈", "xs", "return", "e"] holes = [ LambdaHole "x" "e", ExprHole "xs" ] creates the notation [ IdPart "for" , BindHole 0 , IdPart "∈" , NormalHole 1 , IdPart "return" , NormalHole 0 ]

data NewNotation Source #

All the notation information related to a name.

Constructors

NewNotation 

Fields

Instances

Instances details
Show NewNotation Source # 
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Generic NewNotation Source # 
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Associated Types

type Rep NewNotation :: Type -> Type #

NFData NewNotation Source # 
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Methods

rnf :: NewNotation -> () #

Pretty NewNotation Source # 
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LensFixity NewNotation Source # 
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type Rep NewNotation Source # 
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type Rep NewNotation = D1 ('MetaData "NewNotation" "Agda.Syntax.Notation" "Agda-2.6.2.2-DXbLWdCWC6QEApzM0094If" 'False) (C1 ('MetaCons "NewNotation" 'PrefixI 'True) ((S1 ('MetaSel ('Just "notaName") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 QName) :*: S1 ('MetaSel ('Just "notaNames") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (Set Name))) :*: (S1 ('MetaSel ('Just "notaFixity") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Fixity) :*: (S1 ('MetaSel ('Just "notation") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Notation) :*: S1 ('MetaSel ('Just "notaIsOperator") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Bool)))))

namesToNotation :: QName -> Name -> NewNotation Source #

If an operator has no specific notation, then it is computed from its name.

notationNames :: NewNotation -> [QName] Source #

Return the IdParts of a notation, the first part qualified, the other parts unqualified. This allows for qualified use of operators, e.g., M.for x ∈ xs return e, or x ℕ.+ y.

syntaxOf :: Name -> Notation Source #

Create a Notation (without binders) from a concrete Name. Does the obvious thing: Holes become NormalHoles, Ids become IdParts. If Name has no Holes, it returns noNotation.

mergeNotations :: [NewNotation] -> [NewNotation] Source #

Merges NewNotations that have the same precedence level and notation, with two exceptions:

  • Operators and notations coming from syntax declarations are kept separate.
  • If all instances of a given NewNotation have the same precedence level or are "unrelated", then they are merged. They get the given precedence level, if any, and otherwise they become unrelated (but related to each other).

If NewNotations that are merged have distinct associativities, then they get NonAssoc as their associativity.

Precondition: No Name may occur in more than one list element. Every NewNotation must have the same notaName.

Postcondition: No Name occurs in more than one list element.

Sections

data NotationSection Source #

Sections, as well as non-sectioned operators.

Constructors

NotationSection 

Fields

Instances

Instances details
Show NotationSection Source # 
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Generic NotationSection Source # 
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Associated Types

type Rep NotationSection :: Type -> Type #

NFData NotationSection Source # 
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Methods

rnf :: NotationSection -> () #

Pretty NotationSection Source # 
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type Rep NotationSection Source # 
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Defined in Agda.Syntax.Notation

type Rep NotationSection = D1 ('MetaData "NotationSection" "Agda.Syntax.Notation" "Agda-2.6.2.2-DXbLWdCWC6QEApzM0094If" 'False) (C1 ('MetaCons "NotationSection" 'PrefixI 'True) ((S1 ('MetaSel ('Just "sectNotation") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 NewNotation) :*: S1 ('MetaSel ('Just "sectKind") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 NotationKind)) :*: (S1 ('MetaSel ('Just "sectLevel") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (Maybe FixityLevel)) :*: S1 ('MetaSel ('Just "sectIsSection") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Bool))))

noSection :: NewNotation -> NotationSection Source #

Converts a notation to a (non-)section.

Pretty printing