C++: CRC-32


Demonstrate a method of deriving the Cyclic Redundancy Check from within the language.
The result should be in accordance with ISO 3309, ITU-T V.42, Gzip and PNG.
Algorithms are described on Computation of CRC in Wikipedia. This variant of CRC-32 uses LSB-first order, sets the initial CRC to FFFFFFFF16, and complements the final CRC.

For the purpose of this task, generate a CRC-32 checksum for the ASCII encoded string “The quick brown fox jumps over the lazy dog” (without quotes).

#include <algorithm>
#include <array>
#include <cstdint>
#include <numeric>

// These headers are only needed for main(), to demonstrate.
#include <iomanip>
#include <iostream>
#include <string>

// Generates a lookup table for the checksums of all 8-bit values.
std::array<std::uint_fast32_t, 256> generate_crc_lookup_table() noexcept
	auto const reversed_polynomial = std::uint_fast32_t{0xEDB88320uL};

	// This is a function object that calculates the checksum for a value,
	// then increments the value, starting from zero.
	struct byte_checksum
		std::uint_fast32_t operator()() noexcept
			auto checksum = static_cast<std::uint_fast32_t>(n++);

			for (auto i = 0; i < 8; ++i)
			checksum = (checksum >> 1) ^ ((checksum & 0x1u) ? reversed_polynomial : 0);

			return checksum;

		unsigned n = 0;

	auto table = std::array<std::uint_fast32_t, 256>{};
	std::generate(table.begin(), table.end(), byte_checksum{});

	return table;

// Calculates the CRC for any sequence of values. (You could use type traits and a
// static assert to ensure the values can be converted to 8 bits.)
template <typename InputIterator>
std::uint_fast32_t crc(InputIterator first, InputIterator last)
	// Generate lookup table only on first use then cache it - this is thread-safe.
	static auto const table = generate_crc_lookup_table();

	// Calculate the checksum - make sure to clip to 32 bits, for systems that don't
	// have a true (fast) 32-bit type.
	return std::uint_fast32_t{0xFFFFFFFFuL} &
	~std::accumulate(first, last,
	~std::uint_fast32_t{0} & std::uint_fast32_t{0xFFFFFFFFuL},
	[](std::uint_fast32_t checksum, std::uint_fast8_t value) 
	{ return table[(checksum ^ value) & 0xFFu] ^ (checksum >> 8); });

int main()
	auto const s = std::string{"The quick brown fox jumps over the lazy dog"};

	std::cout << std::hex << std::setw(8) << std::setfill('0') << crc(s.begin(), s.end()) << '\n';
"The quick brown fox jumps over the lazy dog"
(to hex ...)
54686520717569636B2062726F776E20666F78206A756D7073206F76657220746865206C617A7920646F67 414FA339
[other useful test vectors]
0000000000000000000000000000000000000000000000000000000000000000 190A55AD
000102030405060708090A0B0C0D0E0F101112131415161718191A1B1C1D1E1F 91267E8A

Library: boost

#include <boost\crc.hpp>
#include <string>
#include <iostream>

int main()
	std::string str( "The quick brown fox jumps over the lazy dog" );
	boost::crc_32_type  crc;
	crc.process_bytes( str.data(), str.size() );

	std::cout << "Checksum: " << std::hex << crc.checksum() << std::endl;
	return 0;
Checksum: 414fa339


Content is available under GNU Free Documentation License 1.2.