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Gnuplot and complex exhibitors

Can someone tell me how to draw complex exponents using gnuplot. I tried to draw them using this script, but the argument is inot recognized.

set terminal epslatex color colortext size 9cm,5cm
set size 1.5,1.0
set output "eulerjeva_identiteta_1.tex"

set style line 1 linetype 1 linewidth 3 linecolor rgb "#FF0055"
set style line 2 linetype 2 linewidth 1 linecolor rgb "#FF0055"
set style line 3 linetype 1 linewidth 3 linecolor rgb "#2C397D"
set style line 4 linetype 2 linewidth 1 linecolor rgb "#2C397D"
set style line 5 linetype 1 linewidth 3 linecolor rgb "#793715"
set style line 6 linetype 2 linewidth 1 linecolor rgb "#793715"
set style line 7 linetype 1 linewidth 3 linecolor rgb "#b1b1b1"
set style line 8 linetype 3 linewidth 1 linecolor rgb "#b1b1b1"

set grid

set samples 7000

set key at graph .95, 0.4
set key samplen 2
set key spacing 0.8

f(x) = exp(i*x)
g(x) = exp(-i*x)
h(x) = exp(i*x)+exp(-i*x)

set xrange [-2*pi:2*pi]
set yrange [-1.2:1.2]

set xtics ("$0$" 0, "$\\pi$" pi, "$-\\pi$" -pi)
set ytics ("$1$" 1, "$-1$" -1)

set xlabel "$x$"

plot [-2*pi:2*pi] f(x) ls 1 title "$\\e^{ix}$", g(x) ls 3 title "$\\e^{-ix}$", h(x) ls 5 title "$\\e^{ix} + \\e^{-ix}$"
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1 answer

Gnuplot does not understand ihow sqrt(-1), because the variable is inot assigned the value gnuplot - this is just another variable name, as far as possible. Gnuplot can understand and manipulate complex numbers using the format

z = {a,b}

which is a complex number z = (a + ib)in writing. So I could be determined

i = {0.0,1.0}

There is still a problem with what you get when you draw

plot exp(i*x)

"undefined", . (, h(x) = exp(i*x)+exp(-i*x) , .) , gnuplot .

plot real(exp(i*x)), imag(exp(i*x))

, :

set parametric
plot real(exp(i*t)), imag(exp(i*t))
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