construct124.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 seqn(n)

	n1 = n
	l = [n1]
	nw = n.to_s(2).length
	while (n != 1 && l.size < nw)
		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 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(w, t, d)
	
	l1 = []

	t.times \
	{
		|j|
		
		p = dense(w, d)
		n = terras121(p)

		l = seqn(n)

#		redo if (l.size < n.to_s(2).length)
		l1 << l
		$stderr.puts(j) if (j % 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 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, /1+/), lenx(ns, /0+/)
end

def hist(a, ns, b)
	len01x(ns)[b].each { |x1| a[x1] = a.fetch(x1, 0) + 1 }
end

def hist2(a, l1, b)
	l1.each \
	{
		|x|
		hist(a, ns = x.to_s(2), b)
	}
end

def out(a, c)
	a.sort.each \
	{
		|x, y|
		puts([x, y, c].join("\t"))
	}
	puts
	$stdout.flush
end


c = 100
c.times \
{
	|i|
	d = i.to_f / c
	l = glides(100, 100, d)
	
	a0 = {}
	a1 = {}
	l.each \
	{
		|l1|
		hist2(a0, l1, 0)
		hist2(a1, l1, 1)
	}
	a = {}
	(a0.keys + a1.keys).each \
	{
		|k|
		a[k] = Math.log(a1.fetch(k, 1)) - Math.log(a0.fetch(k, 0))
	}
	
	out(a, i)
}