const POLY: u32 = 0xedb88320; static X2N_TABLE: [u32; 32] = [ 0x00800000, 0x00008000, 0xedb88320, 0xb1e6b092, 0xa06a2517, 0xed627dae, 0x88d14467, 0xd7bbfe6a, 0xec447f11, 0x8e7ea170, 0x6427800e, 0x4d47bae0, 0x09fe548f, 0x83852d0f, 0x30362f1a, 0x7b5a9cc3, 0x31fec169, 0x9fec022a, 0x6c8dedc4, 0x15d6874d, 0x5fde7a4e, 0xbad90e37, 0x2e4e5eef, 0x4eaba214, 0xa8a472c0, 0x429a969e, 0x148d302a, 0xc40ba6d0, 0xc4e22c3c, 0x40000000, 0x20000000, 0x08000000, ]; // Calculates a(x) multiplied by b(x) modulo p(x), where p(x) is the CRC polynomial, // reflected. For speed, this requires that a not be zero. fn multiply(a: u32, mut b: u32) -> u32 { let mut p = 0u32; for i in 0..32 { p ^= b & ((a >> (31 - i)) & 1).wrapping_neg(); b = (b >> 1) ^ ((b & 1).wrapping_neg() & POLY); } p } pub(crate) fn combine(crc1: u32, crc2: u32, len2: u64) -> u32 { // Special case: If the length of the second chunk is zero, return the hash // of the first chunk. if len2 == 0 { return crc1; } // We are padding the first checksum with len2-amount of zeroes. For efficiency, // this is done in powers-of-two via a lookup table rather than one by one. let mut p = crc1; let n = 64 - len2.leading_zeros(); for i in 0..n { if (len2 >> i & 1) != 0 { p = multiply(X2N_TABLE[(i & 0x1F) as usize], p); } } p ^ crc2 } #[test] fn golden() { assert_eq!(combine(0x0, 0x1, 0x0), 0x0); assert_eq!(combine(0xc401f8c9, 0x00000000, 0x0), 0xc401f8c9); assert_eq!(combine(0x7cba3d5e, 0xe7466d39, 0xb), 0x76365c4f); assert_eq!(combine(0x576c62d6, 0x123256e1, 0x47), 0x579a636); assert_eq!(combine(0x4f626f9a, 0x9e5ccbf5, 0xa59d), 0x98d43168); assert_eq!(combine(0xa09b8a88, 0x815b0f48, 0x40f39511), 0xd7a5f79); assert_eq!( combine(0x7f6a4306, 0xbc929646, 0x828cde72b3e25301), 0xef922dda ); }