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10 changes: 8 additions & 2 deletions src/Richardson.jl
Original file line number Diff line number Diff line change
Expand Up @@ -75,9 +75,15 @@ function extrapolate(f, h_::Number; contract::Number=oftype(float(real(h_)), 0.1
atol::Real=0, rtol::Real = atol > zero(atol) ? zero(one(float(real(x0+h_)))) : sqrt(eps(typeof(one(float(real(x0+h_)))))),
maxeval::Integer=typemax(Int), breaktol::Real=2)
if isinf(x0)
# use a change of variables x = 1/u
return extrapolate(u -> f(inv(u)), inv(h_); rtol=rtol, atol=atol, maxeval=maxeval, contract = abs(contract) > 1 ? inv(contract) : contract, x0=inv(x0), power=power)
# use a change of variables x = 1/u
contract = abs(contract) > 1 ? inv(contract) : contract
_extrapolate(u -> f(inv(u)), inv(h_), contract, inv(x0), power, atol, rtol, maxeval, breaktol)
else
_extrapolate(f, h_, contract, x0, power, atol, rtol, maxeval, breaktol)
end
end

function _extrapolate(f, h_::Number, contract, x0, power, atol, rtol, maxeval, breaktol)
(rtol ≥ 0 && atol ≥ zero(atol)) || throw(ArgumentError("rtol and atol must be nonnegative"))
breaktol > 0 || throw(ArgumentError("breaktol must be positive"))
0 < abs(contract) < 1 || throw(ArgumentError("contract must be in (0,1)"))
Expand Down
6 changes: 6 additions & 0 deletions test/runtests.jl
Original file line number Diff line number Diff line change
Expand Up @@ -127,3 +127,9 @@ end
@test_throws ArgumentError extrapolate!([(sin(h)/h,h) for h in [1, 0.8, 1.3]])
@test_throws ArgumentError extrapolate!([(sin(h)/h,h) for h in [1, 0.8, 0.8]])
end


@testset "type stability" begin
@inferred extrapolate(x -> sin(x)/x, 1)
@inferred extrapolate(x -> sin(x)/x, 1.0)
end
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