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///
/// @file pi_table.cpp
/// @brief Test the PiTable class
/// @link https://en.wikipedia.org/wiki/Prime-counting_function
///
/// Copyright (C) 2021 Kim Walisch, <kim.walisch@gmail.com>
///
/// This file is distributed under the BSD License. See the COPYING
/// file in the top level directory.
///
#include <PiTable.hpp>
#include <primesieve.hpp>
#include <stdint.h>
#include <iostream>
#include <cstdlib>
#include <vector>
#include <random>
using std::size_t;
using namespace primecount;
std::vector<int> pix =
{
0, 0, 1, 2, 2, 3, 3, 4, 4, 4,
4, 5, 5, 6, 6, 6, 6, 7, 7, 8,
8, 8, 8, 9, 9, 9, 9, 9, 9, 10,
10, 11, 11, 11, 11, 11, 11, 12, 12, 12,
12, 13, 13, 14, 14, 14, 14, 15, 15, 15,
15, 15, 15, 16, 16, 16, 16, 16, 16, 17,
17, 18, 18, 18, 18, 18, 18, 19, 19, 19,
19, 20, 20, 21, 21, 21, 21, 21, 21
};
void check(bool OK)
{
std::cout << " " << (OK ? "OK" : "ERROR") << "\n";
if (!OK)
std::exit(1);
}
int main()
{
// Test PiTable::pi_cache(x)
{
primesieve::iterator it;
int64_t prime = it.next_prime();
int64_t count = 0;
for (int64_t i = 0; i <= PiTable::max_cached(); i++)
{
if (i == prime)
{
count++;
prime = it.next_prime();
}
std::cout << "pi_cache(" << i << ") = " << PiTable::pi_cache(i);
check(PiTable::pi_cache(i) == count);
}
}
// Test PiTable::pi(x)
{
std::random_device rd;
std::mt19937 gen(rd());
std::uniform_int_distribution<int> dist(1000000, 2000000);
int threads = 1;
PiTable pi(dist(gen), threads);
for (size_t i = 0; i < pix.size(); i++)
{
std::cout << "pi(" << i << ") = " << pi[i];
check(pi[i] == pix[i]);
}
primesieve::iterator it;
uint64_t prime = it.next_prime();
int count = 1;
while (prime < pi.size())
{
std::cout << "pi(" << prime << ") = " << pi[prime];
check(pi[prime] == count);
prime = it.next_prime();
count++;
}
for (int i = 0; i < 10000; i++)
{
int n = dist(gen) % pi.size();
std::cout << "pi(" << n << ") = " << pi[n];
check(pi[n] == (int64_t) primesieve::count_primes(0, n));
}
}
std::cout << std::endl;
std::cout << "All tests passed successfully!" << std::endl;
return 0;
}
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