Created
November 26, 2019 23:08
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def f2(n) | |
return n.odd? ? (n * 3 + 1) / 2 : n / 2 | |
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 seq(n) | |
n1 = n | |
l = [] | |
begin | |
l << n | |
n = f2(n) | |
end while (n != 1) | |
return l | |
end | |
def fmt1(l, f) | |
w = l.max_by { |x| x.length }.length | |
f.puts("set colors classic; set ytics nomirror; set y2tics; set key top left opaque;\\") | |
f.puts("plot \\") | |
f.puts("[0:#{w}][0:#{l.size - 1}] '-' matrix using 1:2:3 with image title ''") | |
l.each_with_index \ | |
{ | |
|z, i| | |
c = w - z.length | |
z[z.length...w] = '0' * c | |
f.puts(z.split('').join(' ')) | |
} | |
f.puts("eof") | |
f.puts("eof") | |
end | |
def grid(l) | |
f = File.open(fn = "gnuplot1.cmd", 'w') | |
f.puts("set palette negative grayscale; unset colorbox;") | |
fmt1(l.map { |x| x.reverse }, f) | |
f.close | |
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 msd(l, w) | |
l2 = [] | |
p(w) | |
l.each \ | |
{ | |
|l1| | |
x1 = l1[0].to_s(2).length | |
x2 = l1[w].to_s(2).length | |
x3 = l1[-1].to_s(2).length | |
m1 = (x2.to_f - x1) / w | |
m2 = (x3.to_f - x2) / (l1.size - w) | |
l2 << {'m1' => m1, 'm2' => m2} | |
} | |
a = {} | |
l2[0].keys.each { |k| a.merge!(stat(k, l2.map { |x| x[k] })) } | |
return a | |
end | |
def outa(f, l, a = {}, t = '') | |
f.puts('$dat << eof') | |
k = l[0].keys | |
f.puts(k.join("\t")) | |
l.each { |x| f.puts(x.values.join("\t")) } | |
f.puts('eof') | |
f.puts("set colors classic; set key top right; set title '#{t}'; ") | |
# f.puts("set ytics nomirror; set y2tics;") | |
f.puts("plot \\") | |
k.each \ | |
{ | |
|x| | |
next if (a.member?(x) && a[x].nil?) | |
f.puts("'$dat' using (column('#{x}')) with line #{a.fetch(x, '')} lw 2,\\") | |
} | |
f.puts | |
# f.puts("reset; pause -1;") | |
end | |
def out1(l) | |
f = File.open('gnuplot1.cmd', 'w') | |
f.puts('$dat << eof') | |
l.each_with_index \ | |
{ | |
|l1, c| | |
l1.each_with_index { |x, j| f.puts([j, Math.log(x), c].join("\t")) } | |
f.puts | |
} | |
f.puts('eof') | |
f.puts('plot $dat using 1:2:3 with line linecolor palette') | |
f.close | |
end | |
def sample(l, c) | |
return l if (l.size < c) | |
r = l.size / c | |
l2 = *(0...l.size).select { |x| x % r == 0 } | |
l2[c..-1] = [] | |
return l.values_at(*l2) | |
end | |
l = [] | |
500.times \ | |
{ | |
ns = dense(100, 0.5) | |
l << seq(ns.to_i(2)) | |
} | |
out1(sample(l.sort_by { |x| x.size }, 100)) | |
outa(f = File.open('gnuplot.cmd', 'w'), (1..20).map { |x| msd(l, x * 5) }) | |
f.close |
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