construct183.rb

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

end

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

def outa(f, l, a = {}, t = '')
	
	k = outd(f, l)
	f.puts("set colors classic; set title '#{t}'; ")
	f.puts("set ytics nomirror; set y2tics;")
	f.puts("plot \\")
	k, ct = [k - ['t'], "(column('t')):"] if (k.member?('t'))
	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') && !opt.include?('pt'))
		f.puts("'$dat' using #{ct}(column('#{x}')) #{opt} title '#{x}',\\") 
	}
	f.puts
#	f.puts("reset; pause -1;")

end

def outafn(l, a = {}, fno = nil, t = '')
	fn = "gnuplot#{fno}.cmd"
	outa(f = File.open(fn, 'w'), l, a, t)
	f.close
	$stderr.puts([fn, t, l.size].inspect)
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 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 d(s)
        c = s.split('').select { |x| x == '1' }.size
	d = c.to_f / s.length
        return d
        
end

def add(a, x)
	a[x] = a.fetch(x, 0) + 1
end

def val(a)
	a.fetch(1, 1).to_f / a.fetch(2, 1)
end

w = 200

p = dense(w, 0.64)
n = terras121(p)

n2 = dense(w, 0.5).to_i(2)

a = {}
a2 = {}
a3 = {}

l = []
[seq(n)[0...w], seq(n2)[0...w]].transpose.each \
{
	|x, y|
	add(a, x % 3)
	add(a2, y % 3)
	n3 = dense(y.to_s(2).length, d(y.to_s(2))).to_i
	add(a3, n3 % 3)
	
	l << {'x12' => val(a), 'y12' => val(a2), 'z12' => val(a3)}
}
outafn(l)

$stderr.puts(a)
$stderr.puts(a2)
$stderr.puts(a3)