Update DomainSets requirement from 0.5, 0.6, 0.7 to 0.5, 0.6, 0.7, 0.8 (#378)

* Update DomainSets requirement from 0.5, 0.6, 0.7 to 0.5, 0.6, 0.7, 0.8

Updates the requirements on [DomainSets](https://github.com/JuliaApproximation/DomainSets.jl) to permit the latest version.
- [Release notes](https://github.com/JuliaApproximation/DomainSets.jl/releases)
- [Commits](https://github.com/JuliaApproximation/DomainSets.jl/commits/v0.8.0)

---
updated-dependencies:
- dependency-name: DomainSets
  dependency-version: 0.8.0
  dependency-type: direct:production
...

Signed-off-by: dependabot[bot] <support@github.com>

* Bump minimum ApproxFunBase version

* Update for cross deprectaion

* Set minimum ApproxFunBase version to 0.9.35

---------

Signed-off-by: dependabot[bot] <support@github.com>
Co-authored-by: dependabot[bot] <49699333+dependabot[bot]@users.noreply.github.com>
Co-authored-by: Jishnu Bhattacharya <jishnub.github@gmail.com>

Author: dependabot[bot]

Project.toml

@@ -1,6 +1,6 @@
 name = "ApproxFunOrthogonalPolynomials"
 uuid = "b70543e2-c0d9-56b8-a290-0d4d6d4de211"
-version = "0.6.63"
+version = "0.6.64"
 
 [deps]
 ApproxFunBase = "fbd15aa5-315a-5a7d-a8a4-24992e37be05"
@@ -30,12 +30,12 @@ ApproxFunOrthogonalPolynomialsPolynomialsExt = "Polynomials"
 ApproxFunOrthogonalPolynomialsStaticExt = "Static"
 
 [compat]
-ApproxFunBase = "0.8.67, 0.9.28"
+ApproxFunBase = "0.9.35"
 Aqua = "0.8"
 BandedMatrices = "0.16, 0.17, 1"
 BlockArrays = "0.14, 0.15, 0.16, 1"
 BlockBandedMatrices = "0.10, 0.11, 0.12, 0.13"
-DomainSets = "0.5, 0.6, 0.7"
+DomainSets = "0.5, 0.6, 0.7, 0.8"
 DualNumbers = "0.6.2"
 FastGaussQuadrature = "0.4, 0.5, 1"
 FastTransforms = "0.12, 0.13, 0.14, 0.15.1, 0.16, 0.17"

test/MultivariateTest.jl

@@ -7,7 +7,7 @@ using LinearAlgebra
 using SpecialFunctions
 using BlockBandedMatrices
 using Test
-using ApproxFunBase: factor, Block, cfstype, blocklengths, block, tensorizer, ArraySpace, ∞
+using ApproxFunBase: factor, Block, cfstype, blocklengths, block, tensorizer, ArraySpace, ∞, cartesianproduct
 using ApproxFunBase.TestUtils: testbandedblockbandedoperator, testraggedbelowoperator,
                     testblockbandedoperator
 using ApproxFunOrthogonalPolynomials: chebyshevtransform
@@ -339,7 +339,7 @@ include("testutils.jl")
 
     @testset "conversion between" begin
         dx = dy = ChebyshevInterval()
-        d = dx × dy
+        d = cartesianproduct(dx, dy)
         x,y=Fun(d)
         @test x(0.1,0.2) ≈ 0.1
         @test y(0.1,0.2) ≈ 0.2
@@ -421,7 +421,7 @@ include("testutils.jl")
 
     @testset "Dirichlet" begin
         testblockbandedoperator(@inferred Dirichlet((0..1)^2))
-        testblockbandedoperator(@inferred Dirichlet((0..1) × (0.0 .. 1)))
+        testblockbandedoperator(@inferred Dirichlet(cartesianproduct(0..1, 0.0 .. 1)))
         testraggedbelowoperator(Dirichlet(Chebyshev()^2))
         testraggedbelowoperator(Dirichlet(Chebyshev(0..1) * Chebyshev(0.0..1)))
     end
@@ -576,13 +576,13 @@ include("testutils.jl")
     @testset "inference in TensorSpace" begin
         s = @inferred TensorSpace((Chebyshev(0..1), Chebyshev(0.0..2.0)))
         d = @inferred domain(s)
-        @test d == (0..1) × (0.0..2.0)
+        @test d == cartesianproduct(0..1, 0.0..2.0)
         f = Fun((x,y)->x^2*y^3, s)
         @test f(0.1, 0.2) ≈ 0.1^2 * 0.2^3
 
         s2 = TensorSpace((Chebyshev(0..1), Chebyshev(0.0..2.0), Chebyshev(0..2)))
         d2 = @inferred domain(s2)
-        @test d2 == (0..1) × (0.0..2.0) × (0..2)
+        @test d2 == cartesianproduct(0..1, 0.0..2.0, 0..2)
     end
 end
 

test/PDETest.jl

@@ -5,15 +5,15 @@ using ApproxFunOrthogonalPolynomials
 using DomainSets: setdiffdomain
 using LinearAlgebra
 using Test
-using ApproxFunBase: Block, ldiv_coefficients
+using ApproxFunBase: Block, ldiv_coefficients, cartesianproduct
 using ApproxFunBase.TestUtils: testbandedblockbandedoperator, testblockbandedoperator, testraggedbelowoperator
 
 include("testutils.jl")
 
 @verbose @testset "PDE" begin
     @testset "Rectangle Laplace/Poisson" begin
         dx = dy = ChebyshevInterval()
-        d = dx × dy
+        d = cartesianproduct(dx, dy)
         g = Fun((x,y)->exp(x)*cos(y),∂(d))
 
         B = Dirichlet(d)
@@ -42,7 +42,7 @@ include("testutils.jl")
 
     @testset "Bilaplacian" begin
         dx = dy = ChebyshevInterval()
-        d = dx × dy
+        d = cartesianproduct(dx, dy)
         Dx = Derivative(dx); Dy = Derivative(dy)
         L = Dx^4⊗I + 2*Dx^2⊗Dy^2 + I⊗Dy^4
 
@@ -69,7 +69,7 @@ include("testutils.jl")
         testbandedblockbandedoperator(C)
         testbandedblockbandedoperator(Operator{ComplexF64}(C))
 
-        d = dx × dt
+        d = cartesianproduct(dx, dt)
 
         x,y = Fun(d)
         @test x(0.1,0.0001) ≈ 0.1
@@ -97,7 +97,7 @@ include("testutils.jl")
 
     @testset "Transport" begin
         dx=ChebyshevInterval(); dt=Interval(0,2.)
-        d=dx × dt
+        d = cartesianproduct(dx, dt)
         Dx=Derivative(d,[1,0]);Dt=Derivative(d,[0,1])
         x,y=Fun(identity,d)
         @time u=\([I⊗ldirichlet(dt);Dt+x*Dx],[Fun(x->exp(-20x^2),dx);0.];tolerance=1E-12)
@@ -107,7 +107,7 @@ include("testutils.jl")
 
     @testset "Bilaplacian" begin
         dx=dy=ChebyshevInterval()
-        d=dx × dy
+        d = cartesianproduct(dx, dy)
         Dx=Derivative(dx);Dy=Derivative(dy)
         L=Dx^4⊗I+2*Dx^2⊗Dy^2+I⊗Dy^4
 
@@ -146,7 +146,7 @@ include("testutils.jl")
         @test u(0.1,0.2)  ≈ exp(0.1)*cos(0.2)
 
         dx=dy=ChebyshevInterval()
-        d=dx×dy
+        d = cartesianproduct(dx, dy)
         Dx=Derivative(dx);Dy=Derivative(dy)
         L=Dx^4⊗I+2*Dx^2⊗Dy^2+I⊗Dy^4
 
@@ -256,9 +256,9 @@ include("testutils.jl")
 
     @testset "Small diffusion" begin
         dx=ChebyshevInterval();dt=Interval(0,0.2)
-        d=dx×dt
+        d = cartesianproduct(dx, dt)
         Dx=Derivative(d,[1,0]);Dt=Derivative(d,[0,1])
-        x,t=Fun(dx×dt)
+        x,t=Fun(cartesianproduct(dx, dt))
 
         B=0.0
         C=0.0