explicit vector in ContinuousSpace integration (#204)

* explicit vector in ContinuousSpace integration

* fix typo

* add components inference test

* limit inference test to recent Julia versions

Author: jishnub

src/ApproxFunOrthogonalPolynomials.jl

@@ -87,6 +87,9 @@ bary(v::AbstractVector{Float64},d::IntervalOrSegmentDomain,x::Float64) = bary(v,
 
 strictconvert(T::Type, x) = convert(T, x)::T
 
+convert_vector(v::AbstractVector) = convert(Vector, v)
+convert_vector(t::Tuple) = [t...]
+
 include("bary.jl")
 
 

src/Spaces/Ultraspherical/ContinuousSpace.jl

@@ -94,7 +94,7 @@ function *(P::TransformPlan{T,<:ContinuousSpace,false},vals::AbstractVector{T})
     end
 end
 
-components(S::ContinuousSpace) = map(ChebyshevDirichlet{1,1}, components(domain(S)))
+components(S::ContinuousSpace) = [ChebyshevDirichlet{1,1}(s) for s in components(domain(S))]
 canonicalspace(S::ContinuousSpace) = PiecewiseSpace(components(S))
 convert(::Type{PiecewiseSpace}, S::ContinuousSpace) = canonicalspace(S)
 
@@ -429,7 +429,7 @@ function union_rule(A::ContinuousSpace{<:Real}, B::ContinuousSpace{<:Real})
 end
 
 function integrate(f::Fun{<:ContinuousSpace})
-    cs = cumsum.(components(f))
+    cs = [cumsum(x) for x in components(f)]
     for k=1:length(cs)-1
         cs[k+1] += last(cs[k])
     end

test/SpacesTest.jl

@@ -128,6 +128,11 @@ using ApproxFunBaseTest: testbandedoperator, testraggedbelowoperator,
         @test conversion_type(s,cs) == s
 
         @test Fun(exp,d)(.1) ≈ exp(.1)
+
+        if VERSION >= v"1.8"
+            f = abs(Fun(sin,-5..5))
+            @inferred components(space(f))
+        end
     end
 
     @testset "Jacobi recurrence bug" begin