construct138.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 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, ct = [k - ['t'], "(column('t')):"] if (k.member?('t'))
	k.each \
	{ 
		|x| 
		next if (a.member?(x) && a[x].nil?)
		f.puts("'$dat' using #{ct}(column('#{x}')) with line #{a.fetch(x, 'lw 2')} title '#{x}',\\") 
	}
	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 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 d(s)
        c = s.split('').select { |x| x == '1' }.size
	d = c.to_f / s.length
        return d
        
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 len01(ns)
	return len(ns, /0+/), len(ns, /1+/)
end

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

def de(l, n)
	d = 0
	e = 0
	return nil if (l.nil? || l.size < 10) 
	
	p = l.map { |x| x % 2 }.join
	d = d(p)
	e = e(p)
	
	mx = len01(p).flatten.max
	
	return {"d#{n}" => d, "e#{n}" => e, "mxx#{n}" => mx}
end

def data(l)
	nw = l[0].to_s(2).length
	
	cm = (0...l.size).max_by { |x| l[x] }

	cmnw = cm - nw
	
	de1 = de(l[nw..cm], '1')
	de2 = de(l[cm..-1], '2')


	return nil if (de1.nil? || de2.nil?)
	
	return {'cm' => cm,
		'cg' => l.size,
		'cmnw' => cmnw, 
		'cgcm' => l.size - cm,
#		'cgnw' => l.size - nw
		}
		.merge(de1).merge(de2)
end

def glides(t, w = nil)
	
	l1 = []
	e = 0.64

	c1 = c2 = 0
	s = []
	t.times \
	{
		|i|
		
		if ((i + 1) % 10 == 0 && s[i].nil?) then
			$stderr.puts([i + 1, c1, c2].inspect) 
			c1 = c2 = 0
		end
		
		nw, d = [i, e + rand() * (1.0 - e)]
		nw, d = [w, e + i.to_f / t * (1.0 - e)] if (!w.nil?)

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

		l = seqg(n)

		s[i] = s.fetch(i, 0) + 1
		
		if (l.size < n.to_s(2).length) then
			c1 += 1
			
			next if (s[i] == 20)
			redo
		end
		
		x = data(l)
		if (x.nil?) then
			c2 += 1
			
			next if (s[i] == 20)
			redo
		end
		
		
		l1 << x.merge({'t' => i})
	}

	return l1
end

def hash(l, x1)
	return l.inject({}) { |h, x| h.merge({x => x1 }) }
	
end

l = ARGV[0].nil? ? glides(100, 500) : glides(1000)

outafn(l, hash(['d1', 'e1', 'd2', 'e2'], 'axes x1y2').merge({'mxx1' => nil, 'mxx2' => nil}))

outafn(l, hash(l[0].keys - ['mxx1', 'mxx2'], nil), 'gnuplot1.cmd')