Agda-2.5.1: A dependently typed functional programming language and proof assistant

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LanguageHaskell98

Agda.Syntax.Fixity

Contents

Description

Definitions for fixity, precedence levels, and declared syntax.

Synopsis

Notation coupled with Fixity

data Fixity' Source

The notation is handled as the fixity in the renamer. Hence, they are grouped together in this type.

Constructors

Fixity' 

data NewNotation Source

All the notation information related to a name.

Constructors

NewNotation 

Fields

notaName :: QName
 
notaNames :: Set Name

The names the syntax and/or fixity belong to.

Invariant: The set is non-empty. Every name in the list matches notaName.

notaFixity :: Fixity

Associativity and precedence (fixity) of the names.

notation :: Notation

Syntax associated with the names.

notaIsOperator :: Bool

True if the notation comes from an operator (rather than a syntax declaration).

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

sectNotation :: NewNotation
 
sectKind :: NotationKind

For non-sectioned operators this should match the notation's notationKind.

sectLevel :: Maybe PrecedenceLevel

Effective precedence level. Nothing for closed notations.

sectIsSection :: Bool

False for non-sectioned operators.

noSection :: NewNotation -> NotationSection Source

Converts a notation to a (non-)section.

Fixity

Precendence

hiddenArgumentCtx :: Hiding -> Precedence Source

The precedence corresponding to a possibly hidden argument.

opBrackets :: Fixity -> Precedence -> Bool Source

Do we need to bracket an operator application of the given fixity in a context with the given precedence.

lamBrackets :: Precedence -> Bool Source

Does a lambda-like thing (lambda, let or pi) need brackets in the given context? A peculiar thing with lambdas is that they don't need brackets in certain right operand contexts. However, we insert brackets anyway, for the following reasons:

  • Clarity.
  • Sometimes brackets are needed. Example: m₁ >>= (λ x → x) >>= m₂ (here _>>=_ is left associative).

appBrackets :: Precedence -> Bool Source

Does a function application need brackets?

withAppBrackets :: Precedence -> Bool Source

Does a with application need brackets?

piBrackets :: Precedence -> Bool Source

Does a function space need brackets?

Some lenses

Printing

NFData instances