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October 2, 2015 05:47
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Primes in a range
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class BitSet | |
def initialize | |
@bm = {} | |
end | |
def set(i) | |
n = i >> 4 | |
@bm[n] = @bm[n].to_i | (1 << (i & 0xF)) | |
end | |
def test(i) | |
@bm[i/16].to_i[i & 0xF] != 0 | |
end | |
end | |
def sieve(n_from, n_to) | |
h = BitSet.new | |
n1 = (n_from - 1) / 2 | |
n1 = 1 if n1 < 1 | |
n2 = (n_to + 1) / 2 | |
up = (n2 - 1) / 3 | |
from = ((Math.sqrt(1 + 2 * n1) - 1) / 2).floor | |
from = 1 if from < 1 | |
from.upto(up) do |i| | |
l = (n1 - i) / (2*i + 1) | |
l = 1 if l < 1 | |
u = (n2 - i) / (2*i + 1) | |
u = i if u > i | |
puts "#{l} #{u} #{i} #{up}" if i % 100000 == 0 | |
l.upto(u) do |j| | |
k = i + j + 2*i*j | |
break if k > n2 | |
next if k < n1 | |
h.set(k) | |
end | |
end | |
n_from |= 1 | |
(n_from..n_to).step(2).select{|k| !h.test((k-1)/2)} | |
end | |
#p sieve(0, 10000) | |
p sieve(2**30 - 1000, 2**30) |
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