Created
January 27, 2020 05:22
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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 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 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('$dat << eof') | |
k = l[0].keys | |
f.puts(k.join("\t")) | |
l.each { |x| f.puts(x.values.join("\t")) } | |
f.puts('eof') | |
f.puts("set colors classic; set key top center; set title '#{t}'; ") | |
# f.puts("set ytics nomirror; set y2tics;") | |
f.puts("plot \\") | |
k.each \ | |
{ | |
|x| | |
next if (a.member?(x) && a[x].nil?) | |
f.puts("'$dat' using (column('#{x}')) with line #{a.fetch(x, '')} lw 2,\\") | |
} | |
f.puts | |
# f.puts("reset; pause -1;") | |
end | |
def outafn(fn, l, a = {}) | |
outa(f = File.open(fn, 'w'), l, a) | |
f.close | |
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") | |
f.puts("pause -1") | |
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 d(s) | |
c = s.split('').select { |x| x == '1' }.size | |
d = c.to_f / s.length | |
return d | |
end | |
def glides(t) | |
l2 = [] | |
e = 0.64 | |
c = 100 | |
t.times \ | |
{ | |
d = e + rand() * (1.0 - e) | |
p = dense(c, d) | |
n = terras121(p) | |
l = seq(n) | |
cg = l.index { |x| x < l[0] } | |
next if (cg < c) | |
l2 << l[c...cg].map { |x| x % 2}.join | |
} | |
return l2 | |
end | |
l2 = glides(20) | |
l1 = [] | |
(0...l2.size).map { |i| (0...l2[i].size).map { |j| l1 << [i, j] } } | |
a = {'' => l1} | |
t = 0 | |
l = [] | |
a1 = nil | |
loop \ | |
{ | |
a2 = {} | |
a.each \ | |
{ | |
|k, l1| | |
l1.each \ | |
{ | |
|i, j| | |
b = l2[i][j + k.length + 1, 1] | |
next if (b == '') | |
a2[k + b] = a2.fetch(k + b, []) << [i, j] | |
} | |
} | |
l << {'t' => t, 'c1' => a2.keys.size, 'c' => a2.keys.empty? ? 0 : Math.log(a2.keys.size)} | |
a1 = a if (a1.nil? && l.size >= 2 && l[-1]['c'] < l[-2]['c']) | |
a = a2 | |
p(l[-1]) | |
break if (a.empty?) | |
t += 1 | |
} | |
z = l.max_by { |x| x['c'] } | |
$stderr.puts([z, 2**z['t']].inspect) | |
outafn('gnuplot.cmd', l, {'t' => nil, 'c1' => nil}) | |
p(a1.keys.size) | |
grid(a1.keys.sort) | |
outafn('gnuplot2.cmd', a1.keys.map { |x| {'d' => d(x)} }.sort_by { |x| x['d'] }) |
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