softmin, softmax, softcramp in Julia

example.jl

using Plots
gr()

function softmax(x, y)
    maxxy = max.(x, y)
    minxy = min.(x, y)
    maxxy .+ log.(1.0 .+ exp.(minxy .- maxxy))
end
softmin(x, y) = -log.(exp.(-x) .+ exp.(-y))
softcramp(x, min, max) = softmax(softmin(x, max), min)  # . がいるかも

x_seq = -10:0.1:10
y1 = -3
y2 = 5
z1 = softmax(x_seq, y1);
z11 = max.(x_seq, y1);
z2 = softmin(x_seq, y2);
z22 = min.(x_seq, y2);
z3 = softcramp(x_seq, y1, y2);

pp = plot(size=(300, 300))
plot!(pp, x_seq, z1, lw=2, color=:blue, label="softmax")
plot!(pp, x_seq, z11, lw=0.5, color=:blue, label="")
plot!(pp, x_seq, z2, lw=2, color=:red, label="softmin")
plot!(pp, x_seq, z22, lw=0.5, color=:red, label="")
plot!(pp, x_seq, z3, lw=2, color=:purple, label="softcramp")
pp