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

end

def lenx(ns, p)
	l = ns.split(p)
	l = [] if (l.nil?)
	l.shift if (l[0] == '')
	return l.map { |x| x.length }
end

def len01x(ns)
	return lenx(ns, /0+/), lenx(ns, /1+/)
end

def mx01x(ns)
	l1, l0 = len01x(ns)
	return (l1 + l0).max
end

def count(ns, l2 = [])

	n = n1 = ns.to_i(2)
	l = [n1]

	while (n != 1 && n >= n1)
		n = f2(n)

		l << n

	end

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

	l1 = l[ns.length..-1]
	mx01r = (l1.nil? || l1.empty?) ? 0 : l1.map { |x| mx01x(x.to_s(2)) }.max

	nl = ns.length

	return {'ns' => ns,
		'cm' => cm,
		'cg' => l.size,
		'cr' => l.size - cm,
		'nl' => nl,
		'mx01r' => mx01r
		}
end

def initd(w, m)

	d = m.to_f / w
	w2 = w - 1

	a = (0...w2).to_a
	s = '0' * w2
	(1..(d * w - 1)).map { a.delete_at(rand(a.size)) }.each { |x| s[x, 1] = '1' }
	return ('1' + s)
end

def initb(w, m)
	r = m.to_f / w
	return '1' + (1...w).map { rand < r ? '0' : '1' }.join

end

def initw(w, m)
	s = initd(w, w / 2)

	i = rand(w - m) + 1
	m = [w - i, m].max
	s[i, m] = rand(2).to_s * m
	return s
end

def mut(ns)

	ns = ns.dup
	i = rand(ns.length - 1) + 1
	ns[i, 1] = (ns[i, 1].to_i ^ 1).to_s
	return ns

end

def inner(ns1, ns2)
	a, b = [ns1, ns2].sort_by { |x| x.length }
	d = b.length - a.length
	i = rand(d + 1)

	c = b.dup
	c[i, a.length] = a

	ns1.replace(b)
	ns2.replace(c)
end

def mix(ns1, ns2)

	ns1 = ns1.dup
	ns2 = ns2.dup

	inner(ns1, ns2)
	return (0...ns1.length).map { |x| [ns1, ns2][rand(2)][x, 1] }.join

end

def cut(ns1, ns2)
	ns1 = ns1.dup
	ns2 = ns2.dup

	inner(ns1, ns2)
	i = rand(ns1.length)
	return ns1[0...i] + ns2[i..-1]
end

def ext(ns)

	ns = ns.dup
	(rand(3) + 1).times { ns[rand(ns.length) + 1, 0] = rand(2).to_s }
	return ns
end

def short(ns)
	return ns if (ns.length == 1)
	ns = ns.dup
	(rand([ns.length - 1, 3].min) + 1).times { ns[rand(ns.length - 1) + 1, 1] = '' }
	return ns

end

def rank(x)
	return -x['z']
end

def adj(x, wt, km)
	z = 0

	km.keys.each { |k| z += (x[k] - wt["#{k}_a"]) / wt["#{k}_sd"] * km[k] }

	x['z'] = z
	raise if (!z.finite?)
	return x
end

def out(a, d, 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}')) every #{d} 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 add(bs, km, h, ns, fn, wt, t, d)
	j = ns.length
	h[j] = [] if (!h.member?(j))

	x = adj(count(ns), wt, km)

	a, b = [h[j][0], h[j][-1]]

	return if (h[j].map { |x| x['ns'] }.member?(x['ns']))

	x['t'] = t
	h[j] << x

	h[j].sort_by! { |x| rank(x) }
	h[j][bs..-1] = [] if  (h[j].size > bs)

	out(remove(x, ['ns']), d, {'z' => 'axis x1y2'})

end

def top(h1)
	return h1[rand([h1.size / 4, h1.size].max)]
end

def stat(l)
	return 0, 1.0 if (l.empty?)
	t = l.inject { |a, x| a + x }
	t2 = l.inject { |a, x| a + x ** 2 }

        c = l.size
        a = t.to_f / c
        z = t2.to_f / c - a ** 2
        sd = Math.sqrt(z < 0 ? 0 : z)
        raise if (sd.nan?)
        return a, sd
end

def dist(km, h, wt)

	l = h.values.flatten

	km.keys.each \
	{
		|k|

		a, sd = stat(l.map { |x| x[k] })

		sd = 1.0 if (sd == 0)
		wt.merge!({"#{k}_a" => a, "#{k}_sd" => sd})
	}

end

def nonnil(x, y)
	return x.nil? ? y : x
end

def opt(km, w1, k, fn)
	h = {}

	ops = ['initd0', 'initb0', 'initw0', 'mut1', 'mix2', 'cut2']
#	ops += ['ext1', 'short1']

	bs = 50
	bc = 50

	t = 0
	n = 1e4.to_i
	d = n / 2000

	wt = {}
	n.times \
	{
		if (t % 100 == 0) then
			dist(km, h, wt)
			h.values.flatten.each { |x| adj(x, wt, km) }
		end

		opc = ops[rand(ops.size)]

		c = opc[-1..-1].to_i
		op = opc[0..-2]

		ks = h.keys.sort_by { |x| rank(h[x][0]) }
		ks = ks[0...[ks.size, ks.size / 4].max]


		case (c)
			when 0
				w = ks.empty? ? w1 : ks[rand(ks.size)]
				ns = send(op, w, rand(w))

			when 1, 2

				redo if (h.empty?)

				h.delete(ks.pop) if (ks.size > bc)

				arg = (0...c).map { ks[rand(ks.size)] }
				l = arg.map { |x| top(h[x])['ns'] }
				ns = send(op, *l)
				ns[0, 1] = '1'

		end
		if (ns.length != w1) then
			p([op, c])
			p(ns.length)
			exit
		end


		add(bs, km, h, ns, fn, wt, t, d)

		if (t % 100 == 0) then
			kmx = nonnil(h.values.flatten.max_by { |x| x[k] }, {}).dup
			h0 = nonnil(h.fetch(ks[0], [])[0], {}).dup
			msg = Hash[[['t', 'hmn', 'hmx', 'hc', 'h_0', "#{k}_0"], [t, ks.min, ks.max, h.size, h0, kmx]].transpose]
			msg['h_0'].delete('ns')
			msg["#{k}_0"].delete('ns')
			p(msg)
#			p(wt)
		end

		t += 1
	}


end

f = File.open('gnuplot2.cmd', 'w')
f.puts("set title 'mx01r'; unset y2tics; set key top left; plot \\")
ks = ['cg', 'cr', 'cm']
ks.each \
{
	|x|
	f.puts("'out.txt' using (column('#{x}')):(column('mx01r')) pt 5 ps 0.2,\\")
}
f.puts
f.puts('pause -1')
f.puts("set title 'mx01r log log'; unset y2tics; set key top right; plot \\")
ks.each \
{
	|x|
	f.puts("'out.txt' using (log(column('#{x}'))):(log(column('mx01r'))) pt 5 ps 0.2,\\")
}

f.close

v = {'mx01r' => 1, 'cm' => 1, 'cg' => 1, 'cr' => 1}
opt(v, 100, 'mx01r', fn = 'mixdb.txt')