Created
December 21, 2019 02:48
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def f2(n) | |
return n.odd? ? (n * 3 + 1) / 2 : n / 2 | |
end | |
def outin() | |
l = File.open('out.txt').readlines | |
k = l.shift.split | |
l2 = l.map { |x| Hash[[k, x.split.map { |x| Kernel.eval(x) }].transpose] } | |
return l2 | |
end | |
def outa(f, l, a = {}, t = '') | |
f.puts('$dat << eof') | |
k = l[0].keys | |
f.puts(k.join("\t")) | |
l.each { |x| f.puts(x.values.join("\t")) } | |
f.puts('eof') | |
f.puts("set colors classic; set key top left opaque; set title '#{t}'; ") | |
# f.puts("set ytics nomirror; set y2tics;") | |
f.puts("plot \\") | |
k.each \ | |
{ | |
|x| | |
next if (a.member?(x) && a[x].nil?) | |
f.puts("'$dat' using (column('#{x}')) with line #{a.fetch(x, '')} lw 2,\\") | |
} | |
f.puts | |
# f.puts("reset; pause -1;") | |
end | |
def lenx(ns, p) | |
l = ns.split(p) | |
l = [] if (l.nil?) | |
l.shift if (l[0] == '') | |
return l.map { |x| x.length } | |
end | |
def len01x(ns) | |
return lenx(ns, /0+/), lenx(ns, /1+/) | |
end | |
def seq(n) | |
n1 = n | |
l = [n1] | |
while (n != 1) | |
l << n | |
n = f2(n) | |
end | |
return l | |
end | |
def d(s) | |
c = s.split('').select { |x| x == '1' }.size | |
d = c.to_f / s.length | |
return d | |
end | |
def e(ns) | |
return len01x(ns).flatten.size.to_f / ns.length | |
end | |
def dp(l, b) | |
c = c1 = c2 = 0 | |
l.each \ | |
{ | |
|x| | |
d = d(x) | |
d1 = d < 0.5 ? 0 : 1 | |
x1 = x[-1, 1].to_i | |
c += 1 if (d1 == x1) | |
c1 += d1 | |
c2 += x1 | |
} | |
return {"mr#{b}" => c.to_f / l.size, "dp#{b}" => c1.to_f / l.size} #, "pl#{b}" => c2.to_f / l.size} | |
end | |
l = outin() | |
l.sort_by! { |x| x['cg'] } | |
l3 = [] | |
(1..100).each \ | |
{ | |
|i| | |
x = l[-i] | |
l1 = seq(x['n']) | |
l2 = l1.map { |x| x.to_s(2) } | |
cm = x['cm'] | |
cg = x['cg'] | |
sl1 = l2[0...cm] | |
sr1 = l2[cm..-1] | |
v1 = dp(sl1.select { |x| x[-1,1] == '1'}, '1l') | |
v2 = dp(sl1.select { |x| x[-1,1] == '0'}, '0l') | |
v3 = dp(sr1.select { |x| x[-1,1] == '1'}, '1r') | |
v4 = dp(sr1.select { |x| x[-1,1] == '0'}, '0r') | |
sl = sl1.map { |x| x[-50..-1] }.join | |
sr = sr1.map { |x| x[-50..-1] }.join | |
dl = d(sl) | |
dr = d(sr) | |
drl = dr - dl | |
el = e(sl) | |
er = e(sr) | |
erl = er - el | |
a = v1.merge(v2).merge(v3).merge(v4) | |
a = a.merge({'dl' => dl, 'dr' => dr, 'drl' => drl}) | |
a = a.merge({'el' => el, 'er' => er, 'erl' => erl}) | |
l3 << a | |
$stderr.puts(i) | |
} | |
outa(f = File.open('gnuplot.cmd', 'w'), l3, {'drl' => 'axes x1y2', 'erl' => 'axes x1y2'}) | |
f.close | |
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