Test for DefaultDeriv inference and QuotientSpace (#290)

* Test for DefaultDeriv inference

* QuotientSpace inference test

Author: jishnub

Project.toml

@@ -27,7 +27,7 @@ Static = "aedffcd0-7271-4cad-89d0-dc628f76c6d3"
 ApproxFunOrthogonalPolynomialsStaticExt = "Static"
 
 [compat]
-ApproxFunBase = "0.8.47, 0.9.2"
+ApproxFunBase = "0.8.48, 0.9.3"
 ApproxFunBaseTest = "0.1"
 Aqua = "0.6"
 BandedMatrices = "0.16, 0.17"

test/EigTest.jl

@@ -18,6 +18,9 @@ using Test
             L = -Derivative(S, 2)
             B = Neumann(S)
 
+            QS = QuotientSpace(B)
+            @inferred (QS -> QS.F)(QS)
+
             n = 50
             Seig = SymmetricEigensystem(L, B)
             SA, SB = bandmatrices_eigen(Seig, n)

test/JacobiTest.jl

@@ -362,6 +362,9 @@ include("testutils.jl")
 
         D = Derivative(NormalizedLegendre(), 2)
         @test (@inferred rangespace(D)) == Jacobi(2,2)
+
+        D = @inferred (S -> Derivative(S, 2))(NormalizedLegendre(0..1))
+        @test D * Fun(x->x^3, Legendre(0..1)) ≈ Fun(x->6x, Legendre(0..1))
     end
 
     @testset "identity Fun for interval domains" begin