Created
March 22, 2019 00:58
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def f2(n) | |
return n.odd? ? (n * 3 + 1) / 2 : n / 2 | |
end | |
def d(s) | |
c = s.split('').select { |x| x == '1' }.size | |
d = c.to_f / s.length | |
return d | |
end | |
def keys(ks2) | |
ks = [] | |
ksmx = [] | |
ks2.each \ | |
{ | |
|x| | |
if (x.end_with?('-')) then | |
x = x.dup | |
x.chop | |
else | |
ksmx << x | |
end | |
ks << x | |
} | |
return ks, ksmx | |
end | |
def order(l, ks2) | |
l2 = (0...l.size).map { {} } | |
ks, ksmx = keys(ks2) | |
ks.each \ | |
{ | |
|k| | |
l1 = (0...l.size).map { |x| {k => l[x][k], 'i' => x} } | |
s = ksmx.member?(k) ? -1 : 1 | |
l1.sort_by! { |x| s * x[k] } | |
(0...l1.size).each { |x| l2[l1[x]['i']][k] = x } | |
} | |
l2.each { |x| x['z'] = x.values.inject(0) { |t, x| t + x } } | |
return (0...l2.size).sort_by { |x| l2[x]['z'] } | |
end | |
def out(a, a2 = {}, t = nil) | |
fn = 'out.txt' | |
k = a.keys | |
if ($f1.nil?) then | |
$f1 = File.open(fn, 'w') | |
$f1.puts(k.join("\t")) | |
f2 = File.open('gnuplot.cmd', 'w') | |
st = t.nil? ? 'unset title; ' : "set title '#{t}'; " | |
f2.puts("set ytics nomirror; set y2tics; set colors classic; set key top left box opaque; #{st}; plot \\") | |
(a.keys - ['t']).each \ | |
{ | |
|x| | |
f2.puts("'#{fn}' using (column('t')):(column('#{x}')) with line title '#{x}' #{a2[x]}, \\") | |
} | |
f2.puts | |
f2.close | |
end | |
$f1.puts(a.values_at(*k).join("\t")) | |
$f1.flush | |
end | |
def remove(a, ks) | |
a = a.dup | |
ks.each { |x| a.delete(x) } | |
return a | |
end | |
def seq(n, c) | |
n1 = n | |
l = [n] | |
while (n >= n1 && n != 1) | |
n = f2(n) | |
l << n | |
end | |
return l | |
end | |
def sum(l) | |
return l.inject { |t, x| t + x } | |
end | |
def count(ns) | |
l = seq(ns.to_i(2), nw = ns.length) | |
cm = (0...l.size).max_by { |x| l[x] } | |
return {'ns' => ns, 'cm' => cm, 'nw' => nw, 'cmnw' => cm.to_f / nw} | |
end | |
def add(l, ns) | |
$t = 0 if ($t.nil?) | |
$t += 1 | |
x = count(ns).merge({'t' => $t}) | |
l << x | |
out(remove(x, ['ns']), {'cmnw' => 'axis x1y2 dt 3'}) | |
p(x) if ($t % 200 == 0) | |
end | |
def adj(ns) | |
ns1 = ns.dup | |
ns1[0, 1] = '10' | |
ns2 = ns.dup | |
ns2[0, 1] = '11' | |
return ns1, ns2 | |
end | |
def opt(ks) | |
add(l = [], '1') | |
2e3.to_i.times \ | |
{ | |
l1 = order(l, ks) | |
i = l1[rand([l1.size, 20].min)] | |
x = l.delete_at(i) | |
ns1, ns2 = adj(x['ns']) | |
add(l, ns1) | |
add(l, ns2) | |
} | |
l.sort_by! { |x| x['nw'] } | |
return l[-1] | |
end | |
def fmt1(l, f) | |
w = l.max_by { |x| x.length }.length | |
f.puts("set colors classic; set ytics nomirror; set y2tics; set key top right opaque;\\") | |
f.puts("plot \\") | |
f.puts("[0:#{l.size - 1}][0:#{w}] '-' matrix using 2:1:3 with image title '', \\") | |
# f.puts("'-' using 1 with line title 'e' axes x1y2 lw 3, \\") | |
# f.puts("'-' using (column('d')) with line axes x1y2 lw 3 ") | |
l1 = [] | |
l.each_with_index \ | |
{ | |
|z, i| | |
# l1 << [d(z), e(z)] | |
c = w - z.length | |
z[z.length...w] = '0' * c | |
f.puts(z.split('').join(' ')) | |
} | |
f.puts("eof") | |
f.puts("eof") | |
# l1.each { |x| f.puts(x[1]) } | |
# f.puts("eof") | |
# f.puts("d") | |
# l1.each { |x| f.puts(x[0]) } | |
# f.puts("eof") | |
end | |
def grid(l) | |
f = File.open(fn = "gnuplot1.cmd", 'w') | |
f.puts("set palette negative grayscale; unset colorbox;") | |
fmt1(l.map { |x| x.to_s(2).reverse }, f) | |
f.close | |
end | |
ks = ['cmnw', 'cm', 'nw'] | |
x = opt(ks) | |
$stderr.puts(x.inspect) | |
l = seq(x['ns'].to_i(2), x['nw']) | |
grid(l) |
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