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56 changes: 54 additions & 2 deletions src/default.jl
Original file line number Diff line number Diff line change
Expand Up @@ -138,8 +138,8 @@ function SciMLBase.__init(prob::NonlinearProblem{uType, iip}, alg::FastShortcutN
)
end

function SciMLBase.__solve(prob::NonlinearProblem{uType, iip}, alg::FastShortcutNonlinearPolyalg, args...;
kwargs...) where {uType, iip}
function SciMLBase.__solve(prob::NonlinearProblem{uType, false}, alg::FastShortcutNonlinearPolyalg, args...;
kwargs...) where {uType}

adkwargs = alg.adkwargs
linsolve = alg.linsolve
Expand Down Expand Up @@ -190,6 +190,58 @@ function SciMLBase.__solve(prob::NonlinearProblem{uType, iip}, alg::FastShortcut

end

function SciMLBase.__solve(prob::NonlinearProblem{uType, true}, alg::FastShortcutNonlinearPolyalg, args...;
kwargs...) where {uType}

adkwargs = alg.adkwargs
linsolve = alg.linsolve
precs = alg.precs

sol1 = SciMLBase.__solve(prob, NewtonRaphson(;linsolve, precs, adkwargs...), args...; kwargs...)
if SciMLBase.successful_retcode(sol1)
return SciMLBase.build_solution(prob, alg, sol1.u, sol1.resid;
sol1.retcode, sol1.stats)
end

sol2 = SciMLBase.__solve(prob, NewtonRaphson(;linsolve, precs, linesearch=BackTracking(), adkwargs...), args...; kwargs...)
if SciMLBase.successful_retcode(sol2)
return SciMLBase.build_solution(prob, alg, sol2.u, sol2.resid;
sol2.retcode, sol2.stats)
end

sol3 = SciMLBase.__solve(prob, TrustRegion(;linsolve, precs, adkwargs...), args...; kwargs...)
if SciMLBase.successful_retcode(sol3)
return SciMLBase.build_solution(prob, alg, sol3.u, sol3.resid;
sol3.retcode, sol3.stats)
end

sol4 = SciMLBase.__solve(prob, TrustRegion(;linsolve, precs, radius_update_scheme = RadiusUpdateSchemes.Bastin, adkwargs...), args...; kwargs...)
if SciMLBase.successful_retcode(sol4)
return SciMLBase.build_solution(prob, alg, sol4.u, sol4.resid;
sol4.retcode, sol4.stats)
end

resids = (sol1.resid, sol2.resid, sol3.resid, sol4.resid)
minfu, idx = findmin(DEFAULT_NORM, resids)

if idx == 1
SciMLBase.build_solution(prob, alg, sol1.u, sol1.resid;
sol1.retcode, sol1.stats)
elseif idx == 2
SciMLBase.build_solution(prob, alg, sol2.u, sol2.resid;
sol2.retcode, sol2.stats)
elseif idx == 3
SciMLBase.build_solution(prob, alg, sol3.u, sol3.resid;
sol3.retcode, sol3.stats)
elseif idx == 4
SciMLBase.build_solution(prob, alg, sol4.u, sol4.resid;
sol4.retcode, sol4.stats)
else
error("Unreachable reached, 박정석")
end

end

## General shared polyalg functions

function perform_step!(cache::Union{RobustMultiNewtonCache, FastShortcutNonlinearPolyalgCache})
Expand Down
34 changes: 32 additions & 2 deletions test/polyalgs.jl
Original file line number Diff line number Diff line change
@@ -1,8 +1,38 @@
using NonlinearSolve
using NonlinearSolve, Test

f(u, p) = u .* u .- 2
u0 = [1.0, 1.0]
probN = NonlinearProblem(f, u0)
@time solver = solve(probN, abstol = 1e-9)
@time solver = solve(probN, RobustMultiNewton(), abstol = 1e-9)
@time solver = solve(probN, FastShortcutNonlinearPolyalg(), abstol = 1e-9)
@time solver = solve(probN, FastShortcutNonlinearPolyalg(), abstol = 1e-9)

# https://github.com/SciML/NonlinearSolve.jl/issues/153

function f(du, u, p)
s1, s1s2, s2 = u
k1, c1, Δt = p

du[1] = -0.25 * c1 * k1 * s1 * s2
du[2] = 0.25 * c1 * k1 * s1 * s2
du[3] = -0.25 * c1 * k1 * s1 * s2
end

prob = NonlinearProblem(f, [2.0,2.0,2.0], [1.0, 2.0, 2.5])
sol = solve(prob)
@test SciMLBase.successful_retcode(sol)

# https://github.com/SciML/NonlinearSolve.jl/issues/187

ff(u, p) = 0.5/1.5*log.(u./(1.0.-u)) .- 2.0*u .+1.0

uspan = (0.02, 0.1)
prob = IntervalNonlinearProblem(ff, uspan)
sol = solve(prob)
@test SciMLBase.successful_retcode(sol)

u0 = 0.06
p = 2.0
prob = NonlinearProblem(ff, u0, p)
solver = solve(prob)
@test SciMLBase.successful_retcode(sol)