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set ylabel "$\\ell_1$" norotate
set xlabel "$\\ell_0$"
# default output canvas size: 12.5cm x 8.75cm
set term lua tikz size 8,6 standalone
unset key
set pointsize 1
# color functions
rgb(r,g,b) = 65536 * int(r) + 256 * int(g) + int(b)
color(x) = rgb(x*255, 0 , (1-x)*255)
# get min/max
set yrange [-1000:1000]
stats "sd_vector_field.dat" u (log10(sqrt(($3-$1)**2+($4-$2)**2)))
set xrange [-1:0.5]
set yrange [-0.4:0.4]
rescale=40
plot "sd_vector_field.dat" u 1:2:(($3-$1)/sqrt(($3-$1)**2+($4-$2)**2)/rescale):(($4-$2)/sqrt(($3-$1)**2+($4-$2)**2)/rescale):(color((log10(sqrt(($3-$1)**2+($4-$2)**2))-STATS_min)/(STATS_max-STATS_min))) with vec filled head linecolor rgb variable
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