construct121.rb

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

end

def seqg(n)

	n1 = n
	l = [n1]
	while (n != 1 && n >= n1)
		n = f2(n)
		l << n
	end 
	
	return l
end

def triangle1(c)

	l = []
	c.times \
	{
		|nw|
		ns = '1' * (nw + 1)
		l << ns.to_i(2)
	}
	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 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 glides(t)
	
	l1 = []
	e = 0.64

	t.times \
	{
		|nw|
		
		d = e + rand() * (1.0 - e)

		p = dense(nw + 1, d)
		n = terras121(p)

		l = seqg(n)

		redo if (l.size < n.to_s(2).length)
		l1 << n
		$stderr.puts(nw) if (nw % 10 == 0) 
	}

	return l1
end

def outa(f, l, a = {}, t = '')
	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')
	f.puts("set colors classic; set key top left opaque; set title '#{t}'; ")
	f.puts("set ytics nomirror; set y2tics;")
	f.puts("plot \\")
	k.each \
	{ 
		|x| 
		next if (a.member?(x) && a[x].nil?)
		opt = a.fetch(x, '')
		opt += ' lw 2 ' if (!opt.include?('lw'))
		opt += ' with line ' if (!opt.include?('with'))
		f.puts("'$dat' using (column('#{x}')) #{opt},\\") 
	}
	f.puts
#	f.puts("reset; pause -1;")

end

def outafn(l, a = {}, fn = nil)
	outa(f = File.open(fn.nil? ? 'gnuplot.cmd' : fn, 'w'), l, a)
	f.close
end

def sibling(n)
	s = n.to_s(2)
	s[0..1] = '1'
	return s.to_i(2)
end

def count(ns)
	
	l1 = seqg(n = ns.to_i(2))
	l2 = seqg(sibling(n))

	cg = l1.size
	cg2 = l2.size

	nw = ns.length

	a = {'ns' => ns, 
		'nw' => nw, 
		'cg' => cg,
		'cg21' => cg2 - cg
		}
	return a
end

l = !ARGV[0].nil? ? glides(1000) : triangle1(1000)

l2 = []
l.each_with_index \
{
	|x, j|
	l2 << count(x.to_s(2))
	$stderr.puts(j) if (j % 10 == 0) 
}
outafn(l2, {'ns' => nil, 'nw' => nil, 'cg21' => 'with impulse'})