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Test properties #58

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10 changes: 8 additions & 2 deletions src/properties.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -11,6 +11,7 @@ struct Arity <: Property
f
n::Int
end
Base.:(==)(a::Arity, b::Arity) = (a.f, a.n) == (b.f, b.n)

"""
Image <: Property
Expand All @@ -22,6 +23,7 @@ struct Image{T} <: Property
ex::T
S::AbstractSet
end
Base.:(==)(a::Image{T}, b::Image{T}) where {T} = (a.ex, a.S) == (b.ex, b.S)
isvalid(i::Image{<:Union{Symbolic,Variable,Expr}}, ctx::Context) =
invoke(isvalid, Tuple{Property,Context}, i, ctx)
isvalid(i::Image, ctx::Context) =
Expand All @@ -39,6 +41,7 @@ struct Signature <: Property
args::Vector{AbstractSet}
S::AbstractSet
end
Base.:(==)(a::Signature, b::Signature) = (a.f, a.args, a.S) == (b.f, b.args, b.S)
implies(sig::Signature, a::Arity, ::Context) = a.f == sig.f && a.n == length(sig.args)
implies(sig::Signature, i::Image{Expr}, ctx::Context) =
sig.S ⊆ i.S && i.ex.head === :call && length(i.ex.args) == 1 + length(sig.args) &&
Expand All @@ -53,9 +56,10 @@ struct Closure <: Property
f
S::AbstractSet
end
Base.:(==)(a::Closure, b::Closure) = (a.f, a.S) == (b.f, b.S)
implies(p::Closure, q::Closure, ::Context) = p.f == q.f && q.S ⊆ p.S
implies(p::Closure, sig::Signature, ::Context) =
p.f == sig.f && q.S ⊆ p.S && all(sig.args .⊆ Ref(p.S))
p.f == sig.f && sig.S ⊆ p.S && all(sig.args .⊆ Ref(p.S))
implies(p::Closure, i::Image{Expr}, ctx::Context) =
p.S ⊆ i.S && i.ex.head === :call && !isempty(i.ex.args) &&
p.f == i.ex.args[1] && all(isvalid(ctx), Image.(i.ex.args[2:end], Ref(p.S)))
Expand All @@ -68,7 +72,8 @@ Representation of function `f` having the associative property, `Associative(f)`
struct Associative <: Property
f
end
implies(p::Associative, a::Arity, ::Context) = a.n == 2 && a.f == p.f
Base.:(==)(a::Associative, b::Associative) = a.f == b.f
implies(p::Associative, a::Arity, ::Context) = a.n ≥ 2 && a.f == p.f

"""
Commutative <: Property
Expand All @@ -78,3 +83,4 @@ Representation of function `f` having the commutative property, `Commutative(f)`
struct Commutative <: Property
f
end
Base.:(==)(a::Commutative, b::Commutative) = a.f == b.f
142 changes: 142 additions & 0 deletions test/properties.jl
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@@ -0,0 +1,142 @@
using SpecialSets


@testset "Properties" begin

@testset "Arity" begin
@testset "self" begin
@test isvalid(Arity(sin, 1), Context(Arity(sin, 1)))
@test !isvalid(Arity(sin, 1), Context(Arity(cos, 1)))
@test !isvalid(Arity(sin, 1), Context(Arity(sin, 2)))
end
end

@testset "Image" begin
@vars α
@syms a b

@testset "self" begin
@test isvalid(Image(2, Set([2])), Context())
@test !isvalid(Image(2, Set([1])), Context())
@test isvalid(Image(2, Nonnegative), Context())
@test !isvalid(Image(α, Nonnegative), Context())

@test isvalid(Image(a, TypeSet(Int)), Context(
Image(a, TypeSet(Int))
))
@test isvalid(Image(a, TypeSet(Number)), Context(
Image(a, TypeSet(Int))
))
@test !isvalid(Image(a, TypeSet(Int)), Context(
Image(a, TypeSet(Number))
))
@test !isvalid(Image(b, TypeSet(Int)), Context(
Image(a, TypeSet(Number))
))
end
end

@testset "Signature" begin
@syms a b

@testset "self" begin
@test isvalid(Signature(+, [Positive, Positive], Positive), Context(
Signature(+, [Positive, Positive], Positive),
))
@test !isvalid(Signature(+, [Positive, Positive], Positive), Context(
Signature(*, [Positive, Positive], Positive),
))
@test !isvalid(Signature(+, [Positive, Positive, Positive], Positive), Context(
Signature(+, [Positive, Positive], Positive),
))
end

@testset "Arity" begin
@test isvalid(Arity(+, 2), Context(
Signature(+, [Positive, Positive], Positive),
))
@test !isvalid(Arity(+, 3), Context(
Signature(+, [Positive, Positive], Positive),
))
end

@testset "Image" begin
@test isvalid(Image(get(@term 1 + 2), Positive), Context(
Signature(+, [Positive, Positive], Positive),
))
@test !isvalid(Image(get(@term 1 + 2), Positive), Context(
Signature(+, [Positive], Positive),
))
@test !isvalid(Image(get(@term 1 + b), Positive), Context(
Signature(+, [Positive, Positive], Positive),
))
@test isvalid(Image(get(@term 1 + b), Positive), Context(
Signature(+, [Positive, Positive], Positive),
Image(b, Positive),
))
end
end

@testset "Closure" begin
@syms a b

@testset "self" begin
@test isvalid(Closure(+, Nonnegative), Context(
Closure(+, Nonnegative),
))
@test !isvalid(Closure(+, Nonnegative), Context(
Closure(*, Nonnegative),
))
end

@testset "Signature" begin
@test isvalid(Signature(+, [Positive, Positive], Positive), Context(
Closure(+, Positive),
))
@test isvalid(Signature(+, [Positive, Positive], Positive), Context(
Closure(+, Nonnegative),
))
@test isvalid(Signature(+, [Positive, Positive, Positive], Positive), Context(
Closure(+, Positive),
))
end

@testset "Image" begin
@test isvalid(Image(get(@term 1 + 2), Positive), Context(
Closure(+, Positive),
))
@test !isvalid(Image(get(@term 1 + 2), Set([3])), Context(
Closure(+, Positive),
))
@test !isvalid(Image(get(@term 0 + 2), Positive), Context(
Closure(+, Positive),
))
@test isvalid(Image(get(@term 1 + (2 * 3)), Positive), Context(
Closure(+, Positive),
Closure(*, Positive),
))
end
end

@testset "Associative" begin
@testset "self" begin
@test isvalid(Associative(+), Context(Associative(+)))
@test !isvalid(Associative(+), Context(Associative(*)))
@test isvalid(Associative(+), Context(Associative(+), Associative(*)))
end

@testset "Arity" begin
@test isvalid(Arity(+, 2), Context(Associative(+)))
@test isvalid(Arity(+, 3), Context(Associative(+)))
@test !isvalid(Arity(+, 2), Context(Associative(*)))
end
end

@testset "Commutative" begin
@testset "self" begin
@test isvalid(Commutative(+), Context(Commutative(+)))
@test !isvalid(Commutative(+), Context(Commutative(*)))
end
end

end
1 change: 1 addition & 0 deletions test/runtests.jl
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Expand Up @@ -2,4 +2,5 @@ using Rewrite
using Test

include("patterns.jl")
include("properties.jl")
include("rules.jl")