///
/// @file   P3_xa.cpp
/// @brief  Test the 3rd partial sieve function P3(x, a)
///         that counts the numbers <= x that have exactly
///         3 prime factors each exceeding the a-th prime.
///
/// Copyright (C) 2019 Kim Walisch, <kim.walisch@gmail.com>
///
/// This file is distributed under the BSD License. See the COPYING
/// file in the top level directory.
///

#include <primecount-internal.hpp>
#include <generate.hpp>
#include <imath.hpp>

#include <stdint.h>
#include <iostream>
#include <cstdlib>
#include <vector>
#include <random>

using std::size_t;
using namespace primecount;

void check(bool OK)
{
  std::cout << "   " << (OK ? "OK" : "ERROR") << "\n";
  if (!OK)
    std::exit(1);
}

int main()
{
  std::random_device rd;
  std::mt19937 gen(rd());
  std::uniform_int_distribution<int> dist(5000, 10000);

  int threads = 1;
  int64_t x = dist(gen);
  auto primes = generate_primes<int64_t>(x);

  for (int64_t a = 1; primes[a] <= iroot<3>(x); a++)
  {
    int64_t p3 = 0;

    for (size_t b = a + 1; b < primes.size(); b++)
      for (size_t c = b; c < primes.size(); c++)
        for (size_t d = c; d < primes.size(); d++)
          if (primes[b] * primes[c] * primes[d] <= x)
            p3++;

    std::cout << "P3(" << x << ", " << a << ") = " << p3;
    check(p3 == P3(x, primes[a], threads));
  }

  std::cout << std::endl;
  std::cout << "All tests passed successfully!" << std::endl;

  return 0;
}