bitwise10.rb

def f1(n)
	n = (n * 3 + 1) / 2 while (n.odd?)
	n /= 2 while (n.even?)
	return n
end

def f2(n)
	return n.odd? ? (n * 3 + 1) / 2 : n / 2

end


def widthdiff(x, y)
	x.to_s(2).length - y.to_s(2).length
end

def widthratio(x, y)
	x.to_s(2).length.to_f / y.to_s(2).length
end

def d(s)
        c = s.split('').select { |x| x == '1' }.size
	d = c.to_f / s.length
        return d
        
end

def mx1(ns)
	return ns.split(/0+/).map { |x| x.length }.max
	
end

def count(x)
	n = n1 = x['n']
	l = [n]
	cg = nil
	i = nil
	while (n >= n1 && n != 1)
		n = f1(n)
		cg = l.size if (cg.nil? && n < n1)
		l << n
	end
	ns = n1.to_s(2)
	cm = (0...l.size).max_by { |x| l[x] }
	
	return x.merge({'cm' => cm,
		'mx1' => l[0..cm].map { |x| mx1(x.to_s(2)) }.max,
		'cg' => cg.nil? ? 0 : cg,
		'w' => widthdiff(l[cm], n1),
		'r' => widthratio(l[cm], n1),
		'd' => (0.5 - d(ns)).abs,
		'l' => l,
		'nl' => ns.length})
end

def out(a, a2)
	
	fn = "out#{$i}.txt"
	k = a.keys.sort - a2.select { |k, v| v.nil? }.keys
	
	if ($f.nil?) then
		$f = File.open(fn, 'w')
		$f.puts(k.join("\t")) 
		
		f2 = File.open('gnuplot.cmd', ($i == 0) ? 'w' : 'a')
		f2.puts('set colors classic; set y2tics; set ytics nomirror; set key top left; ') if ($i == 0)
		f2.puts("set title '#{$i}'; plot \\");
		(a.keys - ['t']).each \
		{
			|x|
			next if (!k.member?(x))
			f2.puts("'#{fn}' using (column('t')):(column('#{x}')) with line title '#{x}' #{a2[x]}, \\")
		}
		f2.puts("; pause -1;")
		f2.close
	end
	$f.puts(a.values_at(*k).join("\t"))
	$f.flush
end

def next2(z, l, add = nil)
	
	x = add.call(z, l) if (!add.nil?)
	return true if (x)
	
	out(z, {'cm' => 'lw 3', 'mx1' => 'lw 3', 
		'l' => nil, 'n' => nil, 'p' => nil, 'nl' => nil,
		'd' => 'axes x1y2', 'r' => 'axes x1y2'}) if (z['t'] % 10 == 0)
	
	p = z['p'] + 1
	l << [z, count({'n'=>z['n'] + 2 ** p, 'p'=>p, 't' => z['t']}), z.merge({'p'=>p})]
	return
end


def hard(k, w = nil)

	$f = nil
	l = []
	l2 = []
	next2(count({'n' => 1, 'p' => 0, 't' => 0}), l)

	add = lambda { |x, l| l2 << x; return false; }
	
	t = 0
	a = nil
	3000.times \
	{
		l1 = (0...l.size).sort_by { |x| [-l[x][1][k], l[x][1]['d']] }.select { |x| l[x][1]['mx1'] <= 10 }
		return 'none', a, l2 if (l1.empty?)
		
		a = {'t1' => t, 'l1' => l.size, 'l2' => l2.size}.merge(l[l1[0]][1].select { |k, | !['l', 'n'].member?(k)})
		
		if ((t + 1) % 100 == 0) then
			return 'abort', a, [] if (a['cm'] == 0)
#			$stderr.puts(a) if ((t + 1) % 500 == 0)
		end

		i = l1[rand([l1.size, l1.size >= 50 ? 20 : 50].min)]
		z = l.delete_at(i)

		[z[1], z[2]].each { |x| return 'cutoff', a, l2 if (next2(x.merge({'t' => t}), l, add)) }

		l.delete_at(l1[-1]) if (l.size > 2000) 
		t += 1
	}
	return 'end', a, l2
end

def sample(l, c)

	r = l.size / c
	l2 = *(0...l.size).select { |x| x % r == 0 }
	l2[c..-1] = []
	return l.values_at(*l2)
	
end

def review(fn)
	l = File.open(fn).readlines.map { |x| Kernel.eval(x) }
	$stderr.puts(l.size)
	l = sample(l, 1000)
	l.sort_by! { |x| x['nl'] }
	l.each { |x| x.delete('n'); x.delete('p'); x['t'] = x['t'] / 10.0 }
	
	f = File.open('gnuplot1.cmd', 'w')
	f.puts("set y2tics; set ytics nomirror; set key center left;")
	f.puts("$dat << eof")
	ks = l[0].keys
	f.puts(ks.join("\t"))
	
	l.each { |x| f.puts(x.values.join("\t")) }
	f.puts('eof')
	f.puts('plot \\')
	ks.each \
	{
		|x|
		z = ''
		z = 'axes x1y2 ' if (['d', 'r'].member?(x))
		z += 'lw 4 ' if (['cm', 'cg', 'r'].member?(x))
		z += 'dt 3' if (['t'].member?(x))
		f.puts("'$dat' using (column('#{x}')) with line #{z},\\")
	}
	f.close
	
	exit
end

fn = 'mixdb.txt'
review(fn) if (File.exists?(fn))
	
f = File.open(fn, 'w')

z = {}
seen = {}

n = 0
10.times \
{
	|i|
	
	$i = i
	e, a, l2 = hard('cm', 100)
	$f.close
	$f = nil
	
	z[e] = z.fetch(e, 0) + 1

	n += l2.size

	l2.each \
	{
		|x|
		next if (seen.member?(x['n']))
		seen[x['n']] = nil
		x.delete('l')
		f.puts(x.inspect)
		f.flush
	}
	$stderr.puts("##{i} -- #{e} / #{n} count / #{seen.size} unique", a.inspect)
}

f.close
$stderr.puts(z.merge({'n' => n, 'n1' => seen.size}))