# This example shows how a nonlinear axis definition can be used to 

# set up log-scale axes.  This meachanism is an alternative to the 

# logscale implementation provided by previous versions of gnuplot.

# E.g.

#	set nonlinear x via log10(x) inverse 10**x

#	set xtics log

# rather than the original command "set logscale x"

#

# This plot is the same as plot #2 in electrom.dem showing log-scaled axes.

#

set title "Log-scaled axes defined using 'set nonlinear'"

set label 1 "Same as plot #2 in 'electron.dem'\nexcept that the axes are set up using\n'set nonlinear' rather than 'set logscale'" at graph 0.5, 0.85, 0 center norotate back nopoint

set dummy jw, y

set grid xtics ytics

set key inside center bottom vertical Right noreverse enhanced autotitle box 

set samples 160, 160

set style data lines

set xtics border out scale 1,0.5 nomirror

set mxtics 10.000000

set ytics border out scale 1,0.5 nomirror

set ytics  norangelimit 0.1 textcolor rgb "dark-violet" 

set y2tics border out scale 1,0.5 nomirror

set y2tics  norangelimit autofreq  textcolor rgb "#56b4e9" 

set xlabel "jw (radians)" 

set ylabel "magnitude of A(jw)" 

set y2label "Phase of A(jw) (degrees)" 

#

set xrange [ 1.1 : 90000.0 ] noextend

set yrange [ 0.1 : 1.0 ]

#

set nonlinear x via log10(x) inverse 10**x 

set nonlinear y via log10(y) inverse 10**y 

set xtics log

#

A(jw) = ({0,1}*jw/({0,1}*jw+p1)) * (1/(1+{0,1}*jw/p2))

p1 = 10

p2 = 10000

#

plot abs(A(jw)) lt 1, 180/pi*arg(A(jw)) axes x1y2 lt 3

pause -1 "<cr> to continue"

reset