construct181.rb

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

end

def adj(x, m, n, s2, p2, p, x3)
	s2.replace(p[0...x] + (x3 % 2).to_s)
	m = (s2[x, 1] == p[x, 1])
	n = p2.reverse.to_i(2)
	p2[x, 1] = m ? '11' : '01'
	return m, n, x3
end

def terras121(p)
	
	p2 = ['01', '11'][p[0, 1].to_i]
	n = 1
	n3 = 0
	m = p2 == '11'
	x3 = (p2.reverse.to_i(2)) >> 1

	(1...p.length).each \
	{
		|x|

		if (!m)
			ns = n.to_s(2)
			ns[0, 1] = ''
			m1 = x3 - 3**n3
			n1 = f2(m1)
		end

		n3 = p[0...x].split('').select { |z| z == '1' }.size
		
		s2 = ''
		m, n, x3 = adj(x, m, n, s2, p2, p, m ? (f2(x3) + 3**n3) : (n1 + 3**n3))
	}

	n = p2.reverse.to_i(2)

	return n
end

def seq(n)
	l = [n]
	
	while (n != 1)
		n = f2(n)
		
		l << n
		
	end
	return l
end

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

def len1(ns)
	return len(ns, /0+/)
end

def len0(ns)
	return len(ns, /1+/)
end

def len01(ns)
	return len1(ns), len0(ns)
end

def e(ns)
	return len01(ns).flatten.size.to_f / ns.length
end

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

def sum(l)
	return l.inject { |t, x| t + x }
end

def avg(l)
	return l.empty? ? 0 : sum(l).to_f / l.size
end

def out(a)
	if ($x.nil?) then
		$x = true
		puts(a.keys.join("\t"))
	else
		puts(a.values.join("\t"))
	end
	$stdout.flush
end

def a1(ns)
	avg(len1(ns))
end

def a1m(ns)
	len1(ns).max.to_f / ns.length
end

def dlo(ns)
	nw2 = ns.length / 2
	d(ns[nw2..-1])
end

def elo(ns)
	nw2 = ns.length / 2
	e(ns[nw2..-1])
end

def ehi(ns)
	nw2 = ns.length / 2
	e(ns[0..nw2])
end

def corr(l, y1, yp = "#{y1}_y")
	
	ye = "#{y1}_e"
	xav = avg(l.map { |x| x[y1] })
	yav = avg(l.map { |x| x[yp] })

	tx = ty = txy = e = 0.0
	m = nil
	l.each \
	{
		|z|
		
		x = z[y1]
		y = z[yp]
		
		txy += (x - xav) * (y - yav)
		tx += (x - xav) ** 2
		ty += (y - yav) ** 2
		
		z[ye] = (x - y)
		e1 = z[ye]
		e += e1.abs
	}
	d = Math.sqrt(tx) * Math.sqrt(ty)
	z = 1e-4

	r = txy / (d.abs < z ? z : d)
	e /= l.size
	return r
	
end

def outd(f, l)
	f.puts('$dat << eof')
	k = l[0].keys
	
	f.puts(k.join("\t"))
	l.each { |x| f.puts(x.values.join("\t")) }

	f.puts('eof')
	return k
end



if (false) then
	p = dense(500, 0.64)
	n1 = terras121(p)
else
	n1 = dense(500, 0.5).to_i(2)
end

l = seq(n1)

l2 = l.map { |x| d(x.to_s(2)) }

l1 = []
(0...(l2.size - 1)).each_with_index \
{
	|i, j|
	l1 << {'d1' => l2[i], 'd2' => l2[i + 1], 'j' => j}
}

r = corr(l1, 'd1', 'd2')
$stderr.puts(r)

f = File.open('gnuplot.cmd', 'w')
outd(f, l1)
f.puts("plot $dat using (column('d1')):(column('d2')):(column('j')) with point pt 5 ps 0.5 palette")
f.close