bitwise31.rb

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)

	ksmn = ks2.select { |x| x.end_with?('-') }
	
	ksmx = ks2 - ksmn
	
	ksmn.each { |x| x.replace(x.chop) }
	
	return {'ks' => ksmn + ksmx, 'ksmx' => ksmx}
	
end

def order(l, ks2)
	l2 = (0...l.size).map { {} }

	$k = keys(ks2) if ($k.nil?)
	
	$k['ks'].each \
	{
		|k|
		
		l1 = (0...l.size).map { |x| {k => l[x][k], 'i' => x} }

		s = $k['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)

	n1 = n
	l = [n]
	while (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, x2)

	l = seq(ns.to_i(2))
	
	l1 = l.map { |x| x.to_s(2).length }
	
	a, b = [l1[0], l1[-1]]

	l2 = []
	l1.size.times \
	{
		|x|
		y = a + x.to_f / (l1.size - 1) * (b - a)
		dv = (l1[x] - y) / l1[x]
		l2 << dv
	}
	
	
	return {'ns' => ns, 
		'nw' => ns.length, 
		'dv' => l2.max,
		'l1' => l1,
		'l2' => l2
		}
end

def add(l, ns, x2)
	
	$t = 0 if ($t.nil?)
	$t += 1
	
	x = count(ns, x2).merge({'t' => $t})
	l << x
	
	x = remove(x, ['l1', 'l2'])
	
	out(remove(x, ['ns']), {'dv' => 'axes x1y2'}) 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 = 2e3.to_i
	$d = c * 2 / 2000
	
	add(l = [], '1', {'cm' => 0, 'cg' => 0})
	
	c.times \
	{
		l1 = order(l, ks)

		i = l1[rand([l1.size, 50].min)]
		
		x = l.delete_at(i)

		ns1, ns2 = adj(x['ns'])
		
		add(l, ns1, x)
		add(l, ns2, x)
	}

	l1 = order(l, ks)
	return l[l1[0]]
end


ks = ['dv']



x = opt(ks)

l1 = x['l1']
l2 = x['l2']

f = File.open('out2.txt', 'w')
l1.size.times { |x| f.puts([l1[x], l2[x]].join("\t")) }
f.close