bitwise32.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)

	l = [n1 = 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 trisect(ns)
	nw = ns.length
	
	l = seq(ns.to_i(2))

	cm = (0...l.size).max_by { |x| l[x] }


	i = cm - nw / 2
	i = 0 if (i < 0)
	
	lx = l[0...i]
	ly = l[i...(i + nw)]
	lz = l[(i + nw)..-1]

	lz = [] if (lz.nil?)
	return cm, lx, ly, lz
end

def count(ns)

	cm, lx, ly, lz = trisect(ns)
	
	lmx = [lx.size, ly.size, lz.size].max
	
	return {'ns' => ns, 
		'nw' => ns.length, 
		'cm' => cm,
		'lx' => lx,
		'ly' => ly,
		'lz' => lz,
		'lxs' => lx.size,
		'lys' => ly.size,
		'lzs' => lz.size,
		'lmx' => lmx,
		'l3' => lx.size + ly.size + lz.size
		}
end

def fmt(x)
	return remove(x, ['lx', 'ly', 'lz'])
end

def add(l, ns)
	
	$t = 0 if ($t.nil?)
	$t += 1
	
	x = count(ns).merge({'t' => $t})
	l << x
	
	x = fmt(x)
	
	out(remove(x, ['ns']), {}) if ($t % $d == 0)
		
	$stderr.puts(x.inspect) if ($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')
	
	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)
		add(l, ns2)
	}

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


ks = ['l3']


x = opt(ks)
$stderr.puts(fmt(x).inspect)

t = 0
[x['lx'], x['ly'], x['lz']].each_with_index \
{
	|l, c|
	l.each { |x| puts([t, x.to_s(2).length, c + 1].join("\t")); t += 1 }
}