Created
March 30, 2019 01:12
-
-
Save vznvzn/06158c983db9bedd80af9c2413ce1717 to your computer and use it in GitHub Desktop.
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
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 seq1(n) | |
n1 = n | |
l = [n] | |
while (n >= n1 && n != 1) | |
n = f2(n) | |
l << n | |
end | |
return l | |
end | |
def count1(ns, x2) | |
l = seq1(ns.to_i(2)) | |
nw = ns.length | |
cm = (0...l.size).max_by { |x| l[x] } | |
cg = l.size | |
return {'ns' => ns, | |
'nw' => nw, | |
'cg' => cg, | |
'cm' => cm, | |
'cgd' => cg - x2['cg'], | |
'cmd' => cm - x2['cm'], | |
} | |
end | |
def seq2(n) | |
n1 = n | |
l = [n] | |
while (n != 1) | |
n = f2(n) | |
l << n | |
end | |
return l | |
end | |
def count2(ns, x2) | |
l = seq2(n1 = ns.to_i(2)) | |
nw = ns.length | |
cm1 = (0...l.size).max_by { |x| l[x] } | |
cg1 = l.rindex { |x| x > n1 } | |
cg1 = l.size if (cg1.nil?) | |
return {'ns' => ns, | |
'nw' => nw, | |
'cg' => cg1, | |
'cm' => cm1, | |
'cgd' => cg1 - x2['cg'], | |
'cmd' => cm1 - x2['cm'], | |
} | |
end | |
def count(ns, x2) | |
return $w == 'count1' ? count1(ns, x2) : count2(ns, x2) | |
end | |
def add(l, ns, x2) | |
$t = 0 if ($t.nil?) | |
$t += 1 | |
x = count(ns, x2).merge({'t' => $t}) | |
l << x | |
out(remove(x, ['ns']), {'cgd' => 'lw 2', 'cmd' => 'lw 2 dt 3'}, $w) if ($t % $d == 0) | |
p(x) if ($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) | |
c = 5e3.to_i | |
$d = c * 2 / 2000 | |
add(l = [], '1', {'cm' => 0, 'cg' => 0}) | |
c.times \ | |
{ | |
l1 = order(l, ks) | |
i = l1[rand([l1.size, 500].min)] | |
x = l.delete_at(i) | |
ns1, ns2 = adj(x['ns']) | |
add(l, ns1, x) | |
add(l, ns2, x) | |
} | |
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 | |
$w = ARGV[0].nil? ? 'count1' : 'count2' | |
ks = ['nw', 'cm', 'cg', 'cmd', 'cgd'] | |
x = opt(ks) | |
$stderr.puts(x.inspect) | |
l = seq1(x['ns'].to_i(2)) | |
grid(l) |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment