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11 changes: 11 additions & 0 deletions test/Li2.jl
Original file line number Diff line number Diff line change
@@ -1,3 +1,5 @@
using Base.MPFR: ROUNDING_MODE

# Accelerated series expansion of Li2(x) for x with |x| < 1
# from [Ginsberg, Zaborowski, "The Dilogarithm Function of a Real Argument"]
function li2_accel(x::T)::T where T
Expand All @@ -20,6 +22,14 @@ function li2_accel(x::T)::T where T
end


# Li2 from MPFR
function li2_mpfr(x::BigFloat)::BigFloat
z = BigFloat()
ccall((:mpfr_li2, :libmpfr), Int32, (Ref{BigFloat}, Ref{BigFloat}, Int32), z, x, ROUNDING_MODE[])
return z
end


function filter_small(data, limit)
z1 = [data[i,1] for i in 1:size(data,1) if abs2(data[i,1]) < limit]
z2 = [data[i,2] for i in 1:size(data,1) if abs2(data[i,1]) < limit]
Expand All @@ -39,6 +49,7 @@ end
test_function_on_data(li2_accel , cmpl_data_less_1, ep, ep)
ep = 10*eps(BigFloat)
test_function_on_data(PolyLog.reli2, real_data, ep, ep)
test_function_on_data(li2_mpfr , real_data, ep, ep)
test_function_on_data(li2_accel , real_data_less_1, ep, ep)
end

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