@@ -11,8 +11,38 @@ and [Metatheory.jl](https://github.com/0x0f0f0f/Metatheory.jl).
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#### ` isexpr(x::T) `
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- Returns ` true ` if ` x ` is an expression tree (an S-expression). If true, ` head `
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- and ` children ` methods must be defined for ` x ` .
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+ Returns ` true ` if ` x ` is an expression tree. If true, ` head(x) ` and ` children(x) ` methods must be defined for ` x ` .
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+ Optionally, if ` x ` represents a function call, ` iscall(x) ` should be true, and ` operation(x) ` and ` arguments(x) ` should also be defined.
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+
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+ #### ` iscall(x::T) `
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+
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+ Returns ` true ` if ` x ` is a function call expression. If true, ` operation(x) ` , ` arguments(x) `
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+ must also be defined for ` x ` .
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+
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+ If ` iscall(x) ` is true, then also ` isexpr(x) ` * must* be true. The other way around is not true.
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+ (A function call is always an expression node, but not every expression tree represents a function call).
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+
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+ This means that, ` head(x) ` and ` children(x) ` must be defined. Together
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+ with ` operation(x) ` and ` arguments(x) ` .
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+
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+ ** Examples:**
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+
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+ In a functional language, all expression trees are function calls (e.g. SymbolicUtils.jl).
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+ Let's say that you have an hybrid array and functional language. ` iscall ` on the expression ` v[i] `
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+ is ` false ` , and ` iscall ` on expression ` f(x) ` is ` true ` , but both of them are nested
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+ expressions, and ` isexpr ` is ` true ` on both.
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+
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+ The same goes for Julia ` Expr ` . An ` Expr(:block, ...) ` is * not a function call*
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+ and has no ` operation ` and ` arguments ` , but has a ` head ` and ` children ` .
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+
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+
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+ The distinction between ` head ` /` children ` and ` operation ` /` arguments ` is needed
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+ when dealing with languages that are * not representing function call operations as their head* .
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+ The main example is ` Expr(:call, :f, :x) ` : it has both a ` head ` and an ` operation ` , which are
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+ respectively ` :call ` and ` :f ` .
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+
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+ In other symbolic expression languages, such as SymbolicUtils.jl, the ` head ` of a node
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+ can correspond to ` operation ` and ` children ` can correspond to ` arguments ` .
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#### ` head(x) `
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@@ -22,6 +52,16 @@ Returns the head of the S-expression.
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Returns the children (aka tail) of the S-expression.
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+ #### ` operation(x) `
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+
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+ Returns the function a function call expression is calling. ` iscall(x) ` must be
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+ true as a precondition.
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+
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+ #### ` arguments(x) `
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+
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+ Returns the arguments to the function call in a function call expression.
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+ ` iscall(x) ` must be true as a precondition.
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+
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#### ` maketerm(T, head, children, type=nothing, metadata=nothing) `
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Constructs an expression. ` T ` is a constructor type, ` head ` and ` children ` are
@@ -41,19 +81,6 @@ Packages providing expression types _must_ implement this method for each expres
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If your types do not support type information or metadata, you still need to accept
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these arguments and may choose to not use them.
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- #### ` iscall(x::T) `
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-
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- Returns ` true ` if ` x ` is a function call expression. If true, ` operation ` , ` arguments ` must also be defined for ` x::T ` .
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-
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- #### ` operation(x) `
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-
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- Returns the function a function call expression is calling. ` iscall(x) ` must be
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- true as a precondition.
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-
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- #### ` arguments(x) `
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-
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- Returns the arguments to the function call in a function call expression.
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- ` iscall(x) ` must be true as a precondition.
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### Optional
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@@ -67,11 +94,34 @@ Implicitly defined if `arguments(x)` is defined.
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Returns the metadata attached to ` x ` .
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- #### ` symtype(expr) `
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+ #### ` metadata(expr, md) `
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+
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+ Returns ` expr ` with metadata ` md ` attached to it.
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+
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+ ## Examples
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+ ### Function call Julia Expressions
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+
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+ ``` julia
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+ ex = :(f (a, b))
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+ @test head (ex) == :call
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+ @test children (ex) == [:f , :a , :b ]
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+ @test operation (ex) == :f
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+ @test arguments (ex) == [:a , :b ]
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+ @test isexpr (ex)
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+ @test iscall (ex)
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+ @test ex == maketerm (Expr, :call , [:f , :a , :b ], nothing )
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+ ```
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+
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- Returns the symbolic type of ` expr ` . By default this is just ` typeof(expr) ` .
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- Define this for your symbolic types if you want ` SymbolicUtils.simplify ` to apply rules
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- specific to numbers (such as commutativity of multiplication). Or such
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- rules that may be implemented in the future.
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+ ### Non-function call Julia Expressions
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- <!-- TODO update examples -->
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+ ``` julia
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+ ex = :(arr[i, j])
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+ @test head (ex) == :ref
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+ @test_throws ErrorException operation (ex)
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+ @test_throws ErrorException arguments (ex)
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+ @test isexpr (ex)
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+ @test ! iscall (ex)
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+ @test ex == maketerm (Expr, :ref , [:arr , :i , :j ], nothing )
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+ ```
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