57 lines
1.1 KiB
Julia
Executable file
57 lines
1.1 KiB
Julia
Executable file
#!/usr/bin/env julia
|
|
|
|
# Jacek Poziemski 272389
|
|
|
|
import Pkg
|
|
Pkg.add("Plots")
|
|
using Plots
|
|
|
|
"""
|
|
seq(x::Float64, c::Float64)::Float64
|
|
|
|
Calculate `x^2 + c`.
|
|
|
|
# Arguments
|
|
- `x::Float64`: the first argument
|
|
- `c::Float64`: the second argument
|
|
"""
|
|
function seq(x::Float64, c::Float64)::Float64
|
|
return x^2 + c
|
|
end
|
|
|
|
cs::Vector{Float64} = [-2.0, -2.0, -2.0, -1.0, -1.0, -1.0, -1.0]
|
|
xs::Vector{Float64} = [1.0, 2.0, 1.99999999999999, 1.0, -1.0, 0.75, 0.25]
|
|
|
|
"""
|
|
exp(x::Float64, c::Float64)::Vector{Float64}
|
|
|
|
Iterate over the seq function 40 times.
|
|
|
|
# Arguments
|
|
- `x::Float64`: the first argument
|
|
- `c::Float64`: the second argument
|
|
"""
|
|
function exp(x::Float64, c::Float64)::Vector{Float64}
|
|
ret::Vector{Float64} = []
|
|
push!(ret, x)
|
|
|
|
for i in 1:40
|
|
x = seq(x, c)
|
|
push!(ret, x)
|
|
end
|
|
|
|
return ret
|
|
end
|
|
|
|
sequences::Vector{Vector{Float64}} = []
|
|
|
|
for i in 1:7
|
|
sequence::Vector{Float64} = exp(xs[i], cs[i])
|
|
push!(sequences, sequence)
|
|
end
|
|
|
|
for i in 1:length(sequences)
|
|
plot(title = "x_n² + c", xlabel = "n", ylabel = "x_n")
|
|
plot!(0:40, sequences[i], label = "x = $(xs[i]), c = $(cs[i])", lw = 2)
|
|
png("6.$i.png")
|
|
end
|