[Gnuplot-info] Bugs? 1) Grid ticks in logscale incorrect when range above 1e6+1 and 2) also not plotted completely

[D <dcm...@we...>]

Hi, using:

set terminal pngcairo truecolor enhanced font "arial,11" fontscale 1.0 
size 1000,1000
set output "test.png"

set log xy
#set logscale xy

set xrange [100:1e7]
set yrange [100:1e7]

set grid xtics ytics mxtics mytics lt 0 lw 1 lc rgb "#000000"

f(x)  = x/   (1-0.0001*x)
fi(x) = x/(1/(1-0.0001*x))
g(x)  = x/   (1-0.0000001*x)
gi(x) = x/(1/(1-0.0000001*x))
id(x) = x

plot f(x)  lt 2 lc rgb "#ff0000" lw 1 , \
      fi(x)  lt 2 lc rgb "#ff0000" lw 1  , \
      g(x)  lt 2 lc rgb "#ff0000" lw 1  , \
      gi(x)  lt 2 lc rgb "#ff0000" lw 1  , \
      id(x) dashtype 2 lc rgb "#000000" lw 1

1) the grid tick lines look either incorrect or at least not to what 
they look up to [100:1e6]. How can I make them work with [100:1e7] ?
2) the plot of the lines does neither go to the bottom (fi,gi), nor to 
the top (f,g), as expected. How to fix?