nth_prime: cleanup
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a8a482b106
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034d292560
1 changed files with 19 additions and 35 deletions
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@ -37,17 +37,7 @@ number_t nth(size_t n, size_t sieve_size)
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sieve[0] = true;
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number_t first_number = 1;
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auto create_next = [&first_number](number_t p) -> number_t {
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return (p*p - first_number)/2;
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};
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transform(primes.cbegin(), primes.cend(), next.begin(), create_next);
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for (auto p : primes)
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sieve[(p - first_number) / 2] = true;
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number_t sieve_first = 1;
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auto process_prime = [sieve_size,&sieve](const number_t &p, number_t &next) {
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@ -61,22 +51,22 @@ number_t nth(size_t n, size_t sieve_size)
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next = i - sieve_size;
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};
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auto create_next = [&sieve_first](number_t p) -> number_t {
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return (p*p - sieve_first)/2;
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};
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transform(primes.cbegin(), primes.cend(), next.begin(), create_next);
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for (auto p : primes)
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sieve[(p - sieve_first) / 2] = true;
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while (true) {
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for (size_t pn = 0; pn < primes.size(); ++pn) {
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const number_t &p = primes[pn];
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number_t i = next[pn];
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for (; i < sieve_size; i += p) {
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sieve[i] = true;
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}
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next[pn] = i - sieve_size;
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// process_prime(primes[pn], next[pn]);
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process_prime(primes[pn], next[pn]);
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}
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for (size_t i = 0; i < sieve_size; ++i) {
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@ -84,33 +74,27 @@ number_t nth(size_t n, size_t sieve_size)
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if (sieve[i])
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continue;
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number_t p = first_number + 2*i;
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number_t p = sieve_first + 2*i;
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primes.push_back(p);
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if (primes.size() == n - 1)
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return p;
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next[primes.size() - 1] = create_next(p);//(p*p - first_number)/2;
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size_t pn = primes.size() - 1;
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next[pn] = create_next(p);
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sieve[i] = true;
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number_t j = next[primes.size() - 1];
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for (; j < sieve_size; j += p) {
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sieve[j] = true;
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process_prime(primes[pn], next[pn]);
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}
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next[primes.size() - 1] = j - sieve_size;
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}
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number_t next_sieve_first = sieve_first + 2*sieve_size;
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number_t next_first_number = first_number + 2*sieve_size;
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if (next_first_number < first_number)
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if (next_sieve_first < sieve_first)
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throw runtime_error("failed to reach prime number");
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first_number = next_first_number;
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sieve_first = next_sieve_first;
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memset(&sieve[0], false, sieve.size()*sizeof(sieve[0]));
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}
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}
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