Created
September 18, 2019 02:03
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def f2(n) | |
return n.odd? ? (n * 3 + 1) / 2 : n / 2 | |
end | |
def dense(w, d) | |
return '' if (w == 0) | |
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 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, /0+/), lenx(ns, /1+/) | |
end | |
def mx01x(ns) | |
l1, l0 = len01x(ns) | |
return (l1 + l0).max | |
end | |
def seq(n) | |
n1 = n | |
l = [] | |
begin | |
l << n | |
n = f2(n) | |
end while (n != 1) | |
return l | |
end | |
def outa(f, l, a = {}, t = '') | |
f.puts('$dat << eof') | |
k = l[0].keys | |
f.puts(k.join("\t")) | |
l.each { |x| f.puts(x.values.join("\t")) } | |
f.puts('eof') | |
f.puts("set colors classic; set ytics nomirror; set y2tics; set title '#{t}'; plot \\") | |
k.each { |x| f.puts("'$dat' using (column('#{x}')) with line #{a.fetch(x, '')},\\") } | |
f.puts | |
# f.puts("reset; pause -1;") | |
end | |
def run(w) | |
w2 = w / 2 | |
w1 = rand(w2) | |
i = rand(w - w1) | |
ns = ' ' * w | |
ns[i, w1] = '1' * w1 | |
a = Hash[[(0...w).to_a, [nil] * w].transpose] | |
(i...(i + w1)).each { |x| a.delete(x) } | |
l = a.keys | |
w1.times { x = l.delete_at(rand(l.size)); a.delete(x); ns[x, 1] = '0' } | |
w3 = w - 2 * w1 | |
ns2 = dense(w3, 0.5) | |
a.keys.each_with_index \ | |
{ | |
|x, i| | |
ns[x, 1] = ns2[i, 1] | |
} | |
return ns | |
end | |
def lsb(ns, b) | |
i = 0 | |
ns = ns.reverse | |
while (i < ns.length) | |
break if (ns[i, 1] != b) | |
i += 1 | |
end | |
return i | |
end | |
def measure(l) | |
cm1 = (0...l.size).max_by { |x| l[x] } | |
cg = l.index { |x| x < l[0] } | |
cg = l.size - 1 if (cg.nil?) | |
cm = (0..cg).max_by { |x| l[x] } | |
c = l.size | |
lsb1mx = l.map { |x| lsb(x.to_s(2), '1') }.max | |
lsb0mx = l.map { |x| lsb(x.to_s(2), '0') }.max | |
{'cg' => cg, | |
'c' => c, | |
'cm1' => cm1, | |
'cm' => cm, | |
'lsb1mx' => lsb1mx, | |
'lsb0mx' => lsb0mx} | |
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 avgs(l) | |
ks = l[0][0].keys | |
l1 = [] | |
l[0].size.times \ | |
{ | |
|i| | |
l1[i] = Hash[[ks, ks.map { |k| avg(l.map { |x| x[i][k] }) }].transpose] | |
} | |
return l1 | |
end | |
def dataset() | |
w = 500 | |
l2 = [] | |
200.times \ | |
{ | |
ns = run(w) | |
mx01 = mx01x(ns) | |
l = seq(ns.to_i(2)) | |
raise if (l[w].nil?) | |
a = measure(l) | |
a.merge!({'nw2' => l[w].to_s(2).length, | |
'mx01' => mx01, | |
'lsb1' => lsb(ns, '1'), | |
'lsb0' => lsb(ns, '0')}) | |
a['nw2'] /= 10 | |
a['cg'] *= 10 | |
a['cm'] *= 10 | |
l2 << a | |
} | |
l2.sort_by! { |x| x['mx01'] } | |
return l2 | |
end | |
outa(f = File.open('gnuplot.cmd', 'w'), avgs((1..100).map { dataset() }), | |
{'c' => 'axes x1y2', | |
'lsb1' => 'lw 2', | |
'lsb0' => 'lw 2'}) | |
f.close | |
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