symmetric_loglike_plot

Log-like plotting function, symmetric about 50%. For data where values of interest are close to 0 and 100% (e.g., cumulative particle size distribution data).

Mapping function

Where y is input y-axis data (in percent), map the position of the y data to relative position Y:
if 0<y<=50, then Y = bln(y)+a
if 50<y<100, then Y = 100 - bln(100-y)-a

where
b = 50 / (ln(50)-ln(y_min))
a = -b*ln(y_min)

y_min is the lower cut-off for the plot and 100%-y_min is the upper cut-off.

Example output