# Graphs of errors for the EU “estimated sign”  # Set terminal set terminal svg enhanced size 300 300 fs 10 set samples 1001  # high quality set border 31 linewidth .3 # thin border unset key # no key  # Tolerable error function: #  input is nominal quantity #  output is tolerable negative error, as an absolute quantity #  # e(x)/x is thus tolerable ~relative~ error # e(x) = x <   50 ?   9e-2 * x  \      : x <  100 ?        4.5  \      : x <  200 ? 4.5e-2 * x  \      : x <  300 ?        9    \      : x <  500 ?   3e-2 * x  \      : x < 1000 ?       15    \      :            1.5e-2 * x       # X-range and x-tics  # Set x tics at the cutoff points set xtics ("" 5, "" 50, "100" 100, "200" 200, "300" 300, "500" 500, "1000" 1000)  # Set representative x-range: #  undefined below 5, and #  extending above 1500 to 10,000 just shrinks the interesting part of the graph #  # (A log-scale on the x-axis would fit everything in, but obscure the linearity #  in the absolute error; it would be ok in the relative error though.) set xrange [5:1500]  # Draw the x grid, to show ranges set grid x  #################### # Absolute error ####################  # Set y tics at the fixed amounts set ytics (4.5,9,15)  # Set y-range to go from 0 to max (over this x-range) set yrange [0:22.5]  set output "eu-estimation-tolerance-absolute.svg" plot e(x)  #################### # Relative error ####################  # Set y-tics at the fixed percentages set ytics (1.5, 3, 4.5, 9)  # Set y-range (0% – 10%) to include all percentages, with clearance for 9%. set yrange [0:10] set format y "%g %%" # Format as percentage  set output "eu-estimation-tolerance-relative.svg" # Multiply by 100 so as a percentage plot e(x)/x*100