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December 20, 2020 05:00
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require 'statsample' | |
def f2(n) | |
return n.odd? ? (n * 3 + 1) / 2 : n / 2 | |
end | |
def dot(x, z) | |
t = z['c'] | |
(z.keys - ['c']).each { |v| t += z[v] * x[v] } | |
return t | |
end | |
def predict(l, vy, z) | |
l.each { |x| x["#{vy}_y"] = dot(x, z) } | |
end | |
def sum(l) | |
t = 0.0 | |
l.each { |x| t += x } | |
return t | |
end | |
def av(l) | |
return nil if (l.empty?) | |
return sum(l) / l.size | |
end | |
def corr(l, y1, yp = "#{y1}_y") | |
ye = "#{y1}_e" | |
xav = av(l.map { |x| x[y1] }) | |
yav = av(l.map { |x| x[yp] }) | |
tx = ty = txy = e = 0.0 | |
m = nil | |
l.each \ | |
{ | |
|z| | |
x = z[y1] | |
y = z[yp] | |
txy += (x - xav) * (y - yav) | |
tx += (x - xav) ** 2 | |
ty += (y - yav) ** 2 | |
z[ye] = (x - y) | |
e1 = z[ye] | |
e += e1.abs | |
} | |
d = Math.sqrt(tx) * Math.sqrt(ty) | |
r = txy / (d.abs < $z ? $z : d) | |
e /= l.size | |
return r, e | |
end | |
def fit(l, vx, vy) | |
a = {} | |
(vx + [vy]).each { |v| a[v] = l.map { |x| x[v] }.to_vector() } | |
begin | |
r = Statsample::Regression.multiple(a.to_dataset(), vy) | |
rescue Statsample::Regression::LinearDependency | |
return nil | |
end | |
# $stderr.puts(r.summary) | |
z = r.coeffs.merge({'c' => r.constant}) | |
predict(l, vy, z) | |
corr(l, vy) | |
return z | |
end | |
def read(fn) | |
l = (f = File.open(fn)).readlines.map { |x| Kernel.eval(x) } | |
f.close | |
$stderr.puts(['read', fn, l.size].inspect) | |
return l | |
end | |
def adj(l, z, ks, wt) | |
ks.each \ | |
{ | |
|k| | |
l.each { |x| x[k] = (x[k] - z["#{k}_a"]) * wt[k] } | |
} | |
end | |
def stat(k, l) | |
t = l.inject { |a, x| a + x } | |
t2 = l.inject(0) { |a, x| a + (x ** 2) } | |
c = l.size | |
a = t.to_f / c | |
z = t2.to_f / c - a ** 2 | |
sd = Math.sqrt(z < 0 ? 0 : z) | |
raise if (sd.nan?) | |
return {"#{k}_a" => a, "#{k}_s" => sd, | |
"#{k}_mn" => l.min, "#{k}_mx" => l.max} | |
end | |
def outd(f, l) | |
f.puts('$dat << eof') | |
k = l[0].keys | |
f.puts(k.join("\t")) | |
l.each { |x| f.puts(x.values.join("\t")) } | |
f.puts('eof') | |
return k | |
end | |
def hide(a, x) | |
return (a.member?(x) && a[x].nil?) | |
end | |
def plot(f, d, k, a, t = nil) | |
f.puts("# #{t}") if (!t.nil?) | |
f.puts("set colors classic; set title '#{t}'; ") | |
# f.puts("set key top right opaque; ") | |
f.puts("set ytics nomirror; set y2tics;") | |
f.puts("plot \\") | |
k.each \ | |
{ | |
|x| | |
next if (hide(a, x)) | |
opt = a.fetch(x, '') | |
opt = ' with line ' + opt if (!opt.include?('with') && !opt.include?('pt')) | |
opt += ' lw 2 ' if (!opt.include?('lw') && !opt.include?('pt')) | |
f.puts("#{d} using (column('#{x}')) #{opt} title '#{x}',\\") | |
} | |
f.puts | |
# f.puts("reset; pause -1;") | |
end | |
def outa(f, l, a = {}, t = nil) | |
k = outd(f, l) | |
plot(f, '$dat', k, a, t) | |
end | |
def outafn(l, a = {}, fno = nil, t = '') | |
outa(f = File.open(fn = "gnuplot#{fno}.cmd", 'w'), l, a, t) | |
f.close | |
$stderr.puts([fn, l.size, t, l[0].keys].inspect) | |
end | |
def streamafn(a = nil, a1 = {}, fno = nil, t = nil) | |
$f, $n = [{}, 1] if ($f.nil?) | |
fno = $n if (fno.nil?) | |
if (a.nil?) then | |
$f[$f.keys.last]['f'].close | |
$n += 1 | |
return | |
end | |
if (!$f.member?(fno)) then | |
$f[fno] = {'fn' => (fn2 = "out#{fno}.txt"), | |
'f' => File.open(fn2, 'w')} | |
$f[fno]['f'].puts(a.keys.join("\t")) | |
plot(f = File.open(fn = "gnuplot#{fno}.cmd", 'w'), "'#{fn2}'", a.keys, a1, t) | |
f.close | |
$stderr.puts([fn, fn2, t, a.keys].inspect) | |
end | |
$f[fno]['f'].puts(a.values.join("\t")) | |
$f[fno]['f'].flush | |
end | |
def keys(l, ks) | |
return l.map { |x| Hash[[ks, x.values_at(*ks)].transpose] } | |
end | |
def seq(n) | |
l = [n] | |
while (n != 1) | |
n = f2(n) | |
l << n | |
end | |
return l | |
end | |
def linear(fn) | |
ks = ['d', 'e', 'da', 'ea', 'dlo', 'dhi', 'elo', 'ehi', 'mp1', 'mp2', | |
'mx0', 'mx1', 'mx01', 'a0', 'a1', 'a01', 'a1m'] | |
l1 = read(fn) | |
k = 'hc' | |
l1.each \ | |
{ | |
|x| | |
c = seq(x['ns'].to_i(2)).size | |
x[k] = c.to_f / x['ns'].length | |
} | |
l1.sort_by! { |x| x[k] } | |
l1.each_with_index { |x, j| x[k] = j } | |
z = {} | |
wt = {} | |
ks.each \ | |
{ | |
|k| | |
z.merge!(stat(k, l1.map { |x| x[k] })) | |
wt[k] = 1.0 / z["#{k}_s"] | |
} | |
adj(l1, z, ks, wt) | |
c = 250 | |
ks2 = | |
[ | |
# 'mx01', 'a01', | |
# 'dhi', | |
'dlo', | |
'd', | |
# 'da', 'ea', | |
# 'ehi', | |
# 'elo', | |
'e', | |
# 'mp2' | |
] | |
fit(l1, ks - ks2, k) | |
k0 = "#{k}_0" | |
ky = "#{k}_y" | |
l1.each { |x| x[k0] = x[ky] } | |
l2 = l1.shuffle!.slice!(0...c) | |
i = t = 0 | |
emn = nil | |
kd = "#{k}_d" | |
loop \ | |
{ | |
z = fit(l2, ks - ks2, k) | |
predict(l1, ky, z) | |
r, ea = corr(l1, ky) | |
(l1 + l2).each { |x1| x1['er'] = (x1[k] - x1[ky]).abs } | |
x1 = l1.max_by { |x| x['er'] } | |
x2 = l2.min_by { |x| x['er'] } | |
er = x1['er'] | |
if (emn.nil? || er < emn) | |
x = x1.dup | |
x1.replace(x2) | |
x2.replace(x) | |
op = 'swap' | |
emn = er | |
else | |
break | |
end | |
if (t % 50 == 0) then | |
outafn(keys(l2.sort_by { |x| x[k] }, [k, ky]), {}, 2) | |
predict(l1, ky, z) | |
l1.each { |x| x[kd] = x[k] - x[ky] } | |
outafn(keys(l1.sort_by { |x| x[k] }, [ky, k, kd]), {kd => 'with impulse axes x1y2'}, 3) | |
l1.each { |x| x['x'] = 2 } | |
l2.each { |x| x['x'] = 1 } | |
f = File.open('out.txt', 'w') | |
(l1 + l2).sort_by { |x| x[k] }.each_with_index \ | |
{ | |
|x, i| | |
f.puts([i, x[k], x[ky], x[ky] - x[k], x['x']].join("\t")) | |
} | |
f.close | |
end | |
p({'t' => t += 1, | |
'i' => i, 'op' => op, | |
'r' => r.round(3), | |
'emn' => emn.round(3), | |
'ea' => ea.round(3), | |
'er' => er.round(3), | |
'l2' => l2.size, 'l1' => l1.size}) | |
streamafn({'r' => r, 'er' => er, 'emn' => emn}, {'r' => 'axes x1y2', 'emn' => 'dt 3'}) | |
streamafn(z, {}, 4) | |
break if (i == 10) | |
} | |
end | |
$z = 1e-4 | |
linear('outline2.txt') | |
# plot 'out1.txt' using 1:3:5 with point linecolor variable pt 5 ps 0.5 title 'hc_y','' using 1:2:5 with line lt 3 lw 2 dt 3 title 'hc' |
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