/* * Bit/Word Operations * (C) 1999-2008 Jack Lloyd * (C) Copyright Projet SECRET, INRIA, Rocquencourt * (C) Bhaskar Biswas and Nicolas Sendrier * (C) 2014 cryptosource GmbH * (C) 2014 Falko Strenzke fstrenzke@cryptosource.de * * Botan is released under the Simplified BSD License (see license.txt) */ #ifndef BOTAN_BIT_OPS_H_ #define BOTAN_BIT_OPS_H_ #include namespace Botan { /** * Power of 2 test. T should be an unsigned integer type * @param arg an integer value * @return true iff arg is 2^n for some n > 0 */ template inline bool is_power_of_2(T arg) { return ((arg != 0 && arg != 1) && ((arg & (arg-1)) == 0)); } /** * Return the index of the highest set bit * T is an unsigned integer type * @param n an integer value * @return index of the highest set bit in n */ template inline size_t high_bit(T n) { for(size_t i = 8*sizeof(T); i > 0; --i) if((n >> (i - 1)) & 0x01) return i; return 0; } /** * Return the index of the lowest set bit * T is an unsigned integer type * @param n an integer value * @return index of the lowest set bit in n */ template inline size_t low_bit(T n) { for(size_t i = 0; i != 8*sizeof(T); ++i) if((n >> i) & 0x01) return (i + 1); return 0; } /** * Return the number of significant bytes in n * @param n an integer value * @return number of significant bytes in n */ template inline size_t significant_bytes(T n) { for(size_t i = 0; i != sizeof(T); ++i) if(get_byte(i, n)) return sizeof(T)-i; return 0; } /** * Compute Hamming weights * @param n an integer value * @return number of bits in n set to 1 */ template inline size_t hamming_weight(T n) { const uint8_t NIBBLE_WEIGHTS[] = { 0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4 }; size_t weight = 0; for(size_t i = 0; i != 2*sizeof(T); ++i) weight += NIBBLE_WEIGHTS[(n >> (4*i)) & 0x0F]; return weight; } /** * Count the trailing zero bits in n * @param n an integer value * @return maximum x st 2^x divides n */ template inline size_t ctz(T n) { for(size_t i = 0; i != 8*sizeof(T); ++i) if((n >> i) & 0x01) return i; return 8*sizeof(T); } #if defined(BOTAN_BUILD_COMPILER_IS_GCC) || defined(BOTAN_BUILD_COMPILER_IS_CLANG) template<> inline size_t ctz(uint32_t n) { if(n == 0) return 32; return __builtin_ctz(n); } template<> inline size_t ctz(uint64_t n) { if(n == 0) return 64; return __builtin_ctzll(n); } template<> inline size_t high_bit(uint32_t x) { if(x == 0) return 0; return (32 - __builtin_clz(x)); } template<> inline size_t high_bit(uint64_t x) { if(x == 0) return 0; return (64 - __builtin_clzll(x)); } #endif template size_t ceil_log2(T x) { if(x >> (sizeof(T)*8-1)) return sizeof(T)*8; size_t result = 0; T compare = 1; while(compare < x) { compare <<= 1; result++; } return result; } } #endif