# set terminal pngcairo  transparent enhanced font "arial,10" fontscale 1.0 size 600, 400 
# set output 'nonlinear2.1.png'
set dummy jw, y
set grid nopolar
set grid xtics nomxtics ytics nomytics noztics nomztics \
 nox2tics nomx2tics noy2tics nomy2tics nocbtics nomcbtics
set grid layerdefault   lt 0 linewidth 0.500,  lt 0 linewidth 0.500
set key inside center bottom vertical Right noreverse enhanced autotitle box lt black linewidth 1.000 dashtype solid
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 samples 160, 160
set style data lines
set mxtics 10.000000
set xtics border out scale 1,0.5 nomirror norotate  autojustify
set xtics  norangelimit logscale autofreq 
set ytics border out scale 1,0.5 nomirror norotate  autojustify
set ytics  norangelimit autofreq  textcolor rgb "dark-violet" 
set y2tics border out scale 1,0.5 nomirror norotate  autojustify
set y2tics  norangelimit autofreq  textcolor rgb "#56b4e9" 
set title "Log-scaled axes defined using 'set nonlinear'" 
set xlabel "jw (radians)" 
set xrange [ 1.10000 : 90000.0 ] noreverse nowriteback
set autoscale xfixmin
set autoscale xfixmax
set ylabel "magnitude of A(jw)" 
set y2label "Phase of A(jw) (degrees)" 
set yrange [ 0.100000 : 1.00000 ] noreverse nowriteback
set nonlinear x via log10(x) inverse 10**x 
set nonlinear y via log10(y) inverse 10**y 
A(jw) = ({0,1}*jw/({0,1}*jw+p1)) * (1/(1+{0,1}*jw/p2))
p1 = 10
p2 = 10000
GPFUN_A = "A(jw) = ({0,1}*jw/({0,1}*jw+p1)) * (1/(1+{0,1}*jw/p2))"
plot abs(A(jw)) lt 1, 180/pi*arg(A(jw)) axes x1y2 lt 3