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|
///
/// @file PiTable.cpp
/// @brief Test the PiTable class
///
/// Copyright (C) 2023 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 <primecount-internal.hpp>
#include <stdint.h>
#include <iostream>
#include <cstdlib>
#include <array>
#include <random>
using std::size_t;
using namespace primecount;
/// pi(x) lookup table for x < 2000
std::array<int64_t, 2000> 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, 22,
22, 22, 22, 23, 23, 23, 23, 23, 23, 24, 24, 24, 24, 24, 24, 24, 24, 25, 25, 25,
25, 26, 26, 27, 27, 27, 27, 28, 28, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 33, 33, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 35, 35, 36, 36, 36, 36, 36, 36, 37, 37, 37,
37, 37, 37, 38, 38, 38, 38, 39, 39, 39, 39, 39, 39, 40, 40, 40, 40, 40, 40, 41,
41, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 43, 43, 44, 44, 44, 44, 45, 45, 46,
46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 47, 47, 47, 47, 47, 47, 47, 47, 47,
47, 47, 47, 48, 48, 48, 48, 49, 49, 50, 50, 50, 50, 51, 51, 51, 51, 51, 51, 52,
52, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 54, 54, 54, 54, 54, 54, 55, 55, 55,
55, 55, 55, 56, 56, 56, 56, 56, 56, 57, 57, 58, 58, 58, 58, 58, 58, 59, 59, 59,
59, 60, 60, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 62, 62, 62, 62, 62, 62, 62,
62, 62, 62, 62, 62, 62, 62, 63, 63, 63, 63, 64, 64, 65, 65, 65, 65, 66, 66, 66,
66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 67, 67, 67, 67, 67, 67, 68, 68, 68,
68, 68, 68, 68, 68, 68, 68, 69, 69, 70, 70, 70, 70, 71, 71, 71, 71, 71, 71, 72,
72, 72, 72, 72, 72, 72, 72, 73, 73, 73, 73, 73, 73, 74, 74, 74, 74, 74, 74, 75,
75, 75, 75, 76, 76, 76, 76, 76, 76, 77, 77, 77, 77, 77, 77, 77, 77, 78, 78, 78,
78, 79, 79, 79, 79, 79, 79, 79, 79, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 81,
81, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 83, 83, 84, 84, 84, 84, 84, 84, 85,
85, 85, 85, 86, 86, 86, 86, 86, 86, 87, 87, 87, 87, 87, 87, 87, 87, 88, 88, 88,
88, 89, 89, 90, 90, 90, 90, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 92,
92, 92, 92, 92, 92, 92, 92, 93, 93, 93, 93, 94, 94, 94, 94, 94, 94, 94, 94, 95,
95, 95, 95, 96, 96, 96, 96, 96, 96, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97,
97, 98, 98, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99,
99, 100, 100, 100, 100, 100, 100, 101, 101, 101, 101, 101, 101, 101, 101, 101, 101, 102, 102, 102,
102, 102, 102, 103, 103, 103, 103, 103, 103, 104, 104, 105, 105, 105, 105, 105, 105, 106, 106, 106,
106, 106, 106, 106, 106, 106, 106, 107, 107, 107, 107, 107, 107, 108, 108, 108, 108, 108, 108, 109,
109, 110, 110, 110, 110, 110, 110, 111, 111, 111, 111, 111, 111, 112, 112, 112, 112, 113, 113, 114,
114, 114, 114, 114, 114, 114, 114, 114, 114, 114, 114, 115, 115, 115, 115, 115, 115, 115, 115, 115,
115, 116, 116, 117, 117, 117, 117, 118, 118, 118, 118, 118, 118, 119, 119, 119, 119, 119, 119, 120,
120, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 122, 122, 122, 122, 123, 123, 123,
123, 123, 123, 124, 124, 124, 124, 124, 124, 124, 124, 125, 125, 125, 125, 125, 125, 125, 125, 125,
125, 126, 126, 126, 126, 126, 126, 126, 126, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 128,
128, 128, 128, 128, 128, 128, 128, 129, 129, 129, 129, 129, 129, 130, 130, 130, 130, 130, 130, 131,
131, 131, 131, 132, 132, 132, 132, 132, 132, 132, 132, 133, 133, 133, 133, 133, 133, 134, 134, 134,
134, 135, 135, 135, 135, 135, 135, 135, 135, 136, 136, 136, 136, 137, 137, 137, 137, 137, 137, 137,
137, 137, 137, 137, 137, 137, 137, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 139, 139, 139,
139, 139, 139, 139, 139, 139, 139, 139, 139, 140, 140, 141, 141, 141, 141, 141, 141, 141, 141, 141,
141, 142, 142, 143, 143, 143, 143, 144, 144, 145, 145, 145, 145, 145, 145, 145, 145, 145, 145, 146,
146, 146, 146, 146, 146, 146, 146, 146, 146, 146, 146, 146, 146, 147, 147, 147, 147, 148, 148, 149,
149, 149, 149, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 151, 151, 151,
151, 152, 152, 153, 153, 153, 153, 154, 154, 154, 154, 154, 154, 154, 154, 154, 154, 154, 154, 154,
154, 154, 154, 154, 154, 154, 154, 155, 155, 155, 155, 156, 156, 156, 156, 156, 156, 156, 156, 157,
157, 157, 157, 157, 157, 157, 157, 157, 157, 158, 158, 158, 158, 158, 158, 158, 158, 159, 159, 159,
159, 160, 160, 160, 160, 160, 160, 161, 161, 161, 161, 161, 161, 162, 162, 162, 162, 162, 162, 162,
162, 162, 162, 162, 162, 162, 162, 163, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165,
165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168,
168, 168, 168, 168, 168, 168, 168, 168, 168, 169, 169, 169, 169, 170, 170, 170, 170, 170, 170, 171,
171, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 173, 173, 174, 174, 174, 174, 174, 174, 175,
175, 175, 175, 175, 175, 175, 175, 175, 175, 176, 176, 177, 177, 177, 177, 177, 177, 177, 177, 177,
177, 178, 178, 179, 179, 179, 179, 179, 179, 180, 180, 180, 180, 180, 180, 180, 180, 180, 180, 180,
180, 180, 180, 180, 180, 180, 180, 181, 181, 181, 181, 182, 182, 183, 183, 183, 183, 184, 184, 184,
184, 184, 184, 185, 185, 185, 185, 185, 185, 186, 186, 186, 186, 186, 186, 186, 186, 187, 187, 187,
187, 187, 187, 188, 188, 188, 188, 188, 188, 189, 189, 189, 189, 189, 189, 189, 189, 189, 189, 189,
189, 189, 189, 189, 189, 189, 189, 189, 189, 189, 189, 190, 190, 191, 191, 191, 191, 191, 191, 191,
191, 191, 191, 192, 192, 192, 192, 192, 192, 192, 192, 193, 193, 193, 193, 193, 193, 193, 193, 193,
193, 194, 194, 194, 194, 194, 194, 195, 195, 195, 195, 195, 195, 196, 196, 196, 196, 196, 196, 196,
196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 199, 199, 199,
199, 199, 199, 200, 200, 200, 200, 200, 200, 201, 201, 202, 202, 202, 202, 202, 202, 203, 203, 203,
203, 203, 203, 203, 203, 203, 203, 203, 203, 204, 204, 204, 204, 204, 204, 204, 204, 204, 204, 205,
205, 205, 205, 205, 205, 205, 205, 205, 205, 205, 205, 205, 205, 205, 205, 205, 205, 206, 206, 207,
207, 207, 207, 208, 208, 208, 208, 208, 208, 209, 209, 210, 210, 210, 210, 210, 210, 211, 211, 211,
211, 212, 212, 213, 213, 213, 213, 214, 214, 214, 214, 214, 214, 214, 214, 214, 214, 214, 214, 215,
215, 216, 216, 216, 216, 216, 216, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217,
217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217,
217, 218, 218, 218, 218, 218, 218, 219, 219, 219, 219, 219, 219, 220, 220, 220, 220, 220, 220, 220,
220, 221, 221, 221, 221, 221, 221, 221, 221, 221, 221, 221, 221, 221, 221, 221, 221, 221, 221, 222,
222, 222, 222, 222, 222, 222, 222, 222, 222, 223, 223, 223, 223, 223, 223, 223, 223, 223, 223, 223,
223, 223, 223, 224, 224, 224, 224, 225, 225, 226, 226, 226, 226, 227, 227, 227, 227, 227, 227, 228,
228, 228, 228, 228, 228, 228, 228, 229, 229, 229, 229, 230, 230, 231, 231, 231, 231, 231, 231, 232,
232, 232, 232, 232, 232, 232, 232, 232, 232, 232, 232, 233, 233, 233, 233, 233, 233, 233, 233, 233,
233, 234, 234, 235, 235, 235, 235, 236, 236, 237, 237, 237, 237, 238, 238, 238, 238, 238, 238, 239,
239, 239, 239, 239, 239, 239, 239, 239, 239, 239, 239, 240, 240, 240, 240, 240, 240, 240, 240, 240,
240, 240, 240, 241, 241, 241, 241, 241, 241, 241, 241, 242, 242, 242, 242, 242, 242, 242, 242, 242,
242, 242, 242, 243, 243, 243, 243, 243, 243, 244, 244, 244, 244, 245, 245, 245, 245, 245, 245, 246,
246, 246, 246, 246, 246, 246, 246, 247, 247, 247, 247, 248, 248, 248, 248, 248, 248, 248, 248, 249,
249, 249, 249, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 251, 251, 251,
251, 252, 252, 252, 252, 252, 252, 253, 253, 254, 254, 254, 254, 255, 255, 255, 255, 255, 255, 256,
256, 257, 257, 257, 257, 257, 257, 258, 258, 258, 258, 258, 258, 258, 258, 258, 258, 259, 259, 259,
259, 259, 259, 259, 259, 259, 259, 259, 259, 259, 259, 259, 259, 259, 259, 259, 259, 260, 260, 260,
260, 260, 260, 261, 261, 261, 261, 262, 262, 263, 263, 263, 263, 263, 263, 263, 263, 263, 263, 263,
263, 263, 263, 263, 263, 263, 263, 263, 263, 263, 263, 263, 263, 264, 264, 264, 264, 265, 265, 266,
266, 266, 266, 266, 266, 266, 266, 266, 266, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267,
267, 268, 268, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 270, 270, 270, 270, 270, 270, 270,
270, 271, 271, 271, 271, 271, 271, 272, 272, 272, 272, 272, 272, 273, 273, 273, 273, 273, 273, 274,
274, 274, 274, 274, 274, 274, 274, 274, 274, 274, 274, 274, 274, 274, 274, 274, 274, 275, 275, 275,
275, 275, 275, 276, 276, 276, 276, 277, 277, 278, 278, 278, 278, 278, 278, 278, 278, 278, 278, 278,
278, 279, 279, 279, 279, 279, 279, 279, 279, 279, 279, 280, 280, 280, 280, 280, 280, 280, 280, 280,
280, 280, 280, 281, 281, 281, 281, 281, 281, 281, 281, 282, 282, 282, 282, 282, 282, 282, 282, 282,
282, 282, 282, 282, 282, 282, 282, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283,
283, 284, 284, 284, 284, 284, 284, 285, 285, 285, 285, 286, 286, 287, 287, 287, 287, 288, 288, 289,
289, 289, 289, 289, 289, 289, 289, 289, 289, 290, 290, 290, 290, 290, 290, 290, 290, 290, 290, 290,
290, 291, 291, 291, 291, 291, 291, 292, 292, 292, 292, 292, 292, 293, 293, 293, 293, 293, 293, 293,
293, 293, 293, 293, 293, 293, 293, 293, 293, 293, 293, 294, 294, 295, 295, 295, 295, 295, 295, 295,
295, 295, 295, 295, 295, 295, 295, 295, 295, 296, 296, 297, 297, 297, 297, 297, 297, 297, 297, 297,
297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 298, 298, 298, 298, 298, 298, 299,
299, 299, 299, 299, 299, 299, 299, 300, 300, 300, 300, 300, 300, 301, 301, 301, 301, 302, 302, 303
};
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 < 2000; i++)
{
int n = dist(gen) % pi.size();
std::cout << "pi(" << n << ") = " << pi[n];
check(pi[n] == pi_primesieve(n));
}
}
std::cout << std::endl;
std::cout << "All tests passed successfully!" << std::endl;
return 0;
}
|
