Created
January 16, 2020 03:14
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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 f2(n) | |
return n.odd? ? (n * 3 + 1) / 2 : n / 2 | |
end | |
def seq(n) | |
n1 = n | |
l = [] | |
begin | |
l << n | |
n = f2(n) | |
end while (n != 1) | |
return l | |
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 outa(f, l, a = {}, c = '') | |
f.puts('$dat << eof') | |
k = l[0].keys | |
f.puts(k.join("\t")) | |
l.each { |x| f.puts(x.values.join("\t")) } | |
f.puts('eof') | |
f.puts("set colors classic; set key top right opaque; ") | |
f.puts("set ytics nomirror; set y2tics;") | |
f.puts("plot \\") | |
k.each \ | |
{ | |
|x| | |
next if (a.member?(x) && a[x].nil?) | |
f.puts("'$dat' using #{c}(column('#{x}')):(column('c')) with line #{a.fetch(x, '')} linecolor variable lw 2 title '#{x}',\\") | |
} | |
f.puts | |
# f.puts("reset; pause -1;") | |
end | |
def stat(k, l) | |
t = l.inject { |a, x| a + x } | |
t2 = l.inject(0) { |a, x| a + (x ** 2) } | |
c = l.size | |
a = t.to_f / c | |
z = t2.to_f / c - a ** 2 | |
sd = Math.sqrt(z < 0 ? 0 : z) | |
raise if (sd.nan?) | |
return {"#{k}_a" => a, "#{k}_s" => sd} | |
end | |
def convert(l) | |
x2 = nil | |
l2 = [] | |
l.each_with_index \ | |
{ | |
|x, j| | |
next if (x == x2) | |
l2 << [j, x] | |
x2 = x | |
} | |
return l2 | |
end | |
def scale(l, m) | |
l1 = l.map { |x| x[m] } | |
mn = l1.min | |
mx = l1.max | |
l.each { |x| x[m] = (x[m].to_f - mn) / (mx - mn) } | |
end | |
def review(l, c) | |
l1, l0 = len01(l.map { |x| x.to_s(2) }.join) | |
convert(l1.sort).each \ | |
{ | |
|x, y| | |
puts([x, y, c].join("\t")) | |
} | |
puts | |
end | |
ns = dense(200, 0.5) | |
l = seq(ns.to_i(2)) | |
l1 = [] | |
l2 = [] | |
(1...l.size).each \ | |
{ | |
|x| | |
next if (!(l[x - 1].odd? && l[x].even?)) | |
l1 << l[x - 1] | |
l2 << l[x] | |
} | |
review(l1, 1) | |
review(l2, 2) |
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