feat: Add SHA-256 hashing algorithm (#2470)

* feat: add sha256 algorithm * Apply suggestions from code review Co-authored-by: Piotr Idzik <[email protected]> * fix: suggested changes * updating DIRECTORY.md * clang-format and clang-tidy fixes for de9c0b9 * fix: suggested changes * fix: suggested changes * clang-format and clang-tidy fixes for 86e65fe * fix: suggested changes Co-authored-by: Piotr Idzik <[email protected]> * Update hashing/sha256.cpp Co-authored-by: Piotr Idzik <[email protected]> * fix: suggested changes * fix: Apply suggestions from code review Co-authored-by: Piotr Idzik <[email protected]> * clang-format and clang-tidy fixes for a3d7333 * fix: suggested changes * fix: made some required changes * fix: suggested changes * fix: Apply suggestions from code review Co-authored-by: Piotr Idzik <[email protected]> * clang-format and clang-tidy fixes for 356be83 * fix: suggested changes * fix: added more tests * fix: Apply suggestions from code review Co-authored-by: Piotr Idzik <[email protected]> * fix: suggested changes * chore: apply suggestions from code review * chore: add print message after tests * clang-format and clang-tidy fixes for 48191bb * fix: suggested changes --------- Co-authored-by: Piotr Idzik <[email protected]> Co-authored-by: github-actions[bot] <[email protected]> Co-authored-by: David Leal <[email protected]> Co-authored-by: realstealthninja <[email protected]>
TheAlgorithms · Jun 16, 2023 · ff80be4 · ff80be4
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diff --git a/DIRECTORY.md b/DIRECTORY.md
@@ -171,6 +171,7 @@
   * [Md5](https://github.com/TheAlgorithms/C-Plus-Plus/blob/HEAD/hashing/md5.cpp)
   * [Quadratic Probing Hash Table](https://github.com/TheAlgorithms/C-Plus-Plus/blob/HEAD/hashing/quadratic_probing_hash_table.cpp)
   * [Sha1](https://github.com/TheAlgorithms/C-Plus-Plus/blob/HEAD/hashing/sha1.cpp)
+  * [Sha256](https://github.com/TheAlgorithms/C-Plus-Plus/blob/HEAD/hashing/sha256.cpp)
 
 ## Machine Learning
   * [A Star Search](https://github.com/TheAlgorithms/C-Plus-Plus/blob/HEAD/machine_learning/a_star_search.cpp)

diff --git a/hashing/sha256.cpp b/hashing/sha256.cpp
@@ -0,0 +1,329 @@
+/**
+ * @file
+ * @author [Md. Anisul Haque](https://github.com/mdanisulh)
+ * @brief Simple C++ implementation of the [SHA-256 Hashing Algorithm]
+ * (https://en.wikipedia.org/wiki/SHA-2)
+ *
+ * @details
+ * [SHA-2](https://en.wikipedia.org/wiki/SHA-2) is a set of cryptographic hash
+ * functions that was designed by the
+ * [NSA](https://en.wikipedia.org/wiki/National_Security_Agency) and first
+ * published in 2001. SHA-256 is a part of the SHA-2 family. SHA-256 is widely
+ * used for authenticating software packages and secure password hashing.
+ */
+
+#include <array>     /// For std::array
+#include <cassert>   /// For assert
+#include <cstdint>   /// For uint8_t, uint32_t and uint64_t data types
+#include <iomanip>   /// For std::setfill and std::setw
+#include <iostream>  /// For IO operations
+#include <sstream>   /// For std::stringstream
+#include <utility>   /// For std::move
+#include <vector>    /// For std::vector
+
+/**
+ * @namespace hashing
+ * @brief Hashing algorithms
+ */
+namespace hashing {
+/**
+ * @namespace SHA-256
+ * @brief Functions for the [SHA-256](https://en.wikipedia.org/wiki/SHA-2)
+ * algorithm implementation
+ */
+namespace sha256 {
+/**
+ * @class Hash
+ * @brief Contains hash array and functions to update it and convert it to a
+ * hexadecimal string
+ */
+class Hash {
+    // Initialize array of hash values with first 32 bits of the fractional
+    // parts of the square roots of the first 8 primes 2..19
+    std::array<uint32_t, 8> hash = {0x6A09E667, 0xBB67AE85, 0x3C6EF372,
+                                    0xA54FF53A, 0x510E527F, 0x9B05688C,
+                                    0x1F83D9AB, 0x5BE0CD19};
+
+ public:
+    void update(const std::array<uint32_t, 64> &blocks);
+    std::string to_string() const;
+};
+
+/**
+ * @brief Rotates the bits of a 32-bit unsigned integer
+ * @param n Integer to rotate
+ * @param rotate Number of bits to rotate
+ * @return uint32_t The rotated integer
+ */
+uint32_t right_rotate(uint32_t n, size_t rotate) {
+    return (n >> rotate) | (n << (32 - rotate));
+}
+
+/**
+ * @brief Updates the hash array
+ * @param blocks Message schedule array
+ * @return void
+ */
+void Hash::update(const std::array<uint32_t, 64> &blocks) {
+    // Initialize array of round constants with first 32 bits of the fractional
+    // parts of the cube roots of the first 64 primes 2..311
+    const std::array<uint32_t, 64> round_constants = {
+        0x428A2F98, 0x71374491, 0xB5C0FBCF, 0xE9B5DBA5, 0x3956C25B, 0x59F111F1,
+        0x923F82A4, 0xAB1C5ED5, 0xD807AA98, 0x12835B01, 0x243185BE, 0x550C7DC3,
+        0x72BE5D74, 0x80DEB1FE, 0x9BDC06A7, 0xC19BF174, 0xE49B69C1, 0xEFBE4786,
+        0x0FC19DC6, 0x240CA1CC, 0x2DE92C6F, 0x4A7484AA, 0x5CB0A9DC, 0x76F988DA,
+        0x983E5152, 0xA831C66D, 0xB00327C8, 0xBF597FC7, 0xC6E00BF3, 0xD5A79147,
+        0x06CA6351, 0x14292967, 0x27B70A85, 0x2E1B2138, 0x4D2C6DFC, 0x53380D13,
+        0x650A7354, 0x766A0ABB, 0x81C2C92E, 0x92722C85, 0xA2BFE8A1, 0xA81A664B,
+        0xC24B8B70, 0xC76C51A3, 0xD192E819, 0xD6990624, 0xF40E3585, 0x106AA070,
+        0x19A4C116, 0x1E376C08, 0x2748774C, 0x34B0BCB5, 0x391C0CB3, 0x4ED8AA4A,
+        0x5B9CCA4F, 0x682E6FF3, 0x748F82EE, 0x78A5636F, 0x84C87814, 0x8CC70208,
+        0x90BEFFFA, 0xA4506CEB, 0xBEF9A3F7, 0xC67178F2};
+
+    // Initialize working variables
+    auto a = hash[0];
+    auto b = hash[1];
+    auto c = hash[2];
+    auto d = hash[3];
+    auto e = hash[4];
+    auto f = hash[5];
+    auto g = hash[6];
+    auto h = hash[7];
+
+    // Compression function main loop
+    for (size_t block_num = 0; block_num < 64; ++block_num) {
+        const auto s1 =
+            right_rotate(e, 6) ^ right_rotate(e, 11) ^ right_rotate(e, 25);
+        const auto ch = (e & f) ^ (~e & g);
+        const auto temp1 =
+            h + s1 + ch + round_constants[block_num] + blocks[block_num];
+        const auto s0 =
+            right_rotate(a, 2) ^ right_rotate(a, 13) ^ right_rotate(a, 22);
+        const auto maj = (a & b) ^ (a & c) ^ (b & c);
+        const auto temp2 = s0 + maj;
+
+        h = g;
+        g = f;
+        f = e;
+        e = d + temp1;
+        d = c;
+        c = b;
+        b = a;
+        a = temp1 + temp2;
+    }
+
+    // Update hash values
+    hash[0] += a;
+    hash[1] += b;
+    hash[2] += c;
+    hash[3] += d;
+    hash[4] += e;
+    hash[5] += f;
+    hash[6] += g;
+    hash[7] += h;
+}
+
+/**
+ * @brief Convert the hash to a hexadecimal string
+ * @return std::string Final hash value
+ */
+std::string Hash::to_string() const {
+    std::stringstream ss;
+    for (size_t i = 0; i < 8; ++i) {
+        ss << std::hex << std::setfill('0') << std::setw(8) << hash[i];
+    }
+    return ss.str();
+}
+
+/**
+ * @brief Computes size of the padded input
+ * @param input Input string
+ * @return size_t Size of the padded input
+ */
+std::size_t compute_padded_size(const std::size_t input_size) {
+    if (input_size % 64 < 56) {
+        return input_size + 64 - (input_size % 64);
+    }
+    return input_size + 128 - (input_size % 64);
+}
+
+/**
+ * @brief Returns the byte at position byte_num in in_value
+ * @param in_value Input value
+ * @param byte_num Position of byte to be returned
+ * @return uint8_t Byte at position byte_num
+ */
+template <typename T>
+uint8_t extract_byte(const T in_value, const std::size_t byte_num) {
+    if (sizeof(in_value) <= byte_num) {
+        throw std::out_of_range("Byte at index byte_num does not exist");
+    }
+    return (in_value >> (byte_num * 8)) & 0xFF;
+}
+
+/**
+ * @brief Returns the character at pos after the input is padded
+ * @param input Input string
+ * @param pos Position of character to be returned
+ * @return char Character at the index pos in the padded string
+ */
+char get_char(const std::string &input, std::size_t pos) {
+    const auto input_size = input.length();
+    if (pos < input_size) {
+        return input[pos];
+    }
+    if (pos == input_size) {
+        return '\x80';
+    }
+    const auto padded_input_size = compute_padded_size(input_size);
+    if (pos < padded_input_size - 8) {
+        return '\x00';
+    }
+    if (padded_input_size <= pos) {
+        throw std::out_of_range("pos is out of range");
+    }
+    return static_cast<char>(
+        extract_byte<size_t>(input_size * 8, padded_input_size - pos - 1));
+}
+
+/**
+ * @brief Creates the message schedule array
+ * @param input Input string
+ * @param byte_num Position of the first byte of the chunk
+ * @return std::array<uint32_t, 64> Message schedule array
+ */
+std::array<uint32_t, 64> create_message_schedule_array(const std::string &input,
+                                                       const size_t byte_num) {
+    std::array<uint32_t, 64> blocks{};
+
+    // Copy chunk into first 16 words of the message schedule array
+    for (size_t block_num = 0; block_num < 16; ++block_num) {
+        blocks[block_num] =
+            (static_cast<uint8_t>(get_char(input, byte_num + block_num * 4))
+             << 24) |
+            (static_cast<uint8_t>(get_char(input, byte_num + block_num * 4 + 1))
+             << 16) |
+            (static_cast<uint8_t>(get_char(input, byte_num + block_num * 4 + 2))
+             << 8) |
+            static_cast<uint8_t>(get_char(input, byte_num + block_num * 4 + 3));
+    }
+
+    // Extend the first 16 words into remaining 48 words of the message schedule
+    // array
+    for (size_t block_num = 16; block_num < 64; ++block_num) {
+        const auto s0 = right_rotate(blocks[block_num - 15], 7) ^
+                        right_rotate(blocks[block_num - 15], 18) ^
+                        (blocks[block_num - 15] >> 3);
+        const auto s1 = right_rotate(blocks[block_num - 2], 17) ^
+                        right_rotate(blocks[block_num - 2], 19) ^
+                        (blocks[block_num - 2] >> 10);
+        blocks[block_num] =
+            blocks[block_num - 16] + s0 + blocks[block_num - 7] + s1;
+    }
+
+    return blocks;
+}
+
+/**
+ * @brief Computes the final hash value
+ * @param input Input string
+ * @return std::string The final hash value
+ */
+std::string sha256(const std::string &input) {
+    Hash h;
+    // Process message in successive 512-bit (64-byte) chunks
+    for (size_t byte_num = 0; byte_num < compute_padded_size(input.length());
+         byte_num += 64) {
+        h.update(create_message_schedule_array(input, byte_num));
+    }
+    return h.to_string();
+}
+}  // namespace sha256
+}  // namespace hashing
+
+/**
+ * @brief Self-test implementations
+ * @returns void
+ */
+static void test_compute_padded_size() {
+    assert(hashing::sha256::compute_padded_size(55) == 64);
+    assert(hashing::sha256::compute_padded_size(56) == 128);
+    assert(hashing::sha256::compute_padded_size(130) == 192);
+}
+
+static void test_extract_byte() {
+    assert(hashing::sha256::extract_byte<uint32_t>(512, 0) == 0);
+    assert(hashing::sha256::extract_byte<uint32_t>(512, 1) == 2);
+    bool exception = false;
+    try {
+        hashing::sha256::extract_byte<uint32_t>(512, 5);
+    } catch (const std::out_of_range &) {
+        exception = true;
+    }
+    assert(exception);
+}
+
+static void test_get_char() {
+    assert(hashing::sha256::get_char("test", 3) == 't');
+    assert(hashing::sha256::get_char("test", 4) == '\x80');
+    assert(hashing::sha256::get_char("test", 5) == '\x00');
+    assert(hashing::sha256::get_char("test", 63) == 32);
+    bool exception = false;
+    try {
+        hashing::sha256::get_char("test", 64);
+    } catch (const std::out_of_range &) {
+        exception = true;
+    }
+    assert(exception);
+}
+
+static void test_right_rotate() {
+    assert(hashing::sha256::right_rotate(128, 3) == 16);
+    assert(hashing::sha256::right_rotate(1, 30) == 4);
+    assert(hashing::sha256::right_rotate(6, 30) == 24);
+}
+
+static void test_sha256() {
+    struct TestCase {
+        const std::string input;
+        const std::string expected_hash;
+        TestCase(std::string input, std::string expected_hash)
+            : input(std::move(input)),
+              expected_hash(std::move(expected_hash)) {}
+    };
+    const std::vector<TestCase> test_cases{
+        TestCase(
+            "",
+            "e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855"),
+        TestCase(
+            "test",
+            "9f86d081884c7d659a2feaa0c55ad015a3bf4f1b2b0b822cd15d6c15b0f00a08"),
+        TestCase(
+            "Hello World",
+            "a591a6d40bf420404a011733cfb7b190d62c65bf0bcda32b57b277d9ad9f146e"),
+        TestCase("Hello World!",
+                 "7f83b1657ff1fc53b92dc18148a1d65dfc2d4b1fa3d677284addd200126d9"
+                 "069")};
+    for (const auto &tc : test_cases) {
+        assert(hashing::sha256::sha256(tc.input) == tc.expected_hash);
+    }
+}
+
+static void test() {
+    test_compute_padded_size();
+    test_extract_byte();
+    test_get_char();
+    test_right_rotate();
+    test_sha256();
+
+    std::cout << "All tests have successfully passed!\n";
+}
+
+/**
+ * @brief Main function
+ * @returns 0 on exit
+ */
+int main() {
+    test();  // Run self-test implementations
+    return 0;
+}