using Arpack, SparseArrays, LRUCache
include("ho_basis.jl")

Λ = 0
m = 1.0
V_of_r(r) = 2 * exp(-(r-3)^2 / (1.5)^2)

E_max = 30
μω_global = 0.5 * exp(-2im * pi / 9)

# due to simple relative coordinates
μω = μω_global * 2
μ = m/2

println("No of threads = ", Threads.nthreads())

@time "Basis" basis = ho_basis_2B(E_max, Λ)

println("Basis size = ", basis.dim)

println("Constructing KE matrices")

@time "T1" T1 = get_sp_T_matrix(basis.n1s, basis.l1s; mask=mask1(basis), μω_gen=μω, μ=μ)
@time "T2" T2 = get_sp_T_matrix(basis.n2s, basis.l2s; mask=mask2(basis), μω_gen=μω, μ=μ)
@time "T_cross" T_cross = get_2p_p1p2_matrix(basis, μω, μω; dtype=ComplexF64) ./ (2*μ)

println("Constructing PE matrices")

@time "V" V = get_src_V_matrix(V_of_r, basis, μω, μω_global)

println("Calculating spectrum")
@time "H" H = T1 + T2 + T_cross + V
@time "Eigenvalues" evals, _ = eigs(H, nev=5, ncv=50, which=:LI, maxiter=5000, tol=1e-5, ritzvec=false, check=1)

display(evals)