1 /** 2 * Bit/Word Operations 3 * 4 * Copyright: 5 * (C) 1999-2008 Jack Lloyd 6 * (C) 2014-2015 Etienne Cimon 7 * 8 * License: 9 * Botan is released under the Simplified BSD License (see LICENSE.md) 10 */ 11 module botan.utils.bit_ops; 12 13 import botan.constants; 14 import botan.utils.get_byte; 15 import botan.utils.types; 16 import std.traits : isPointer; 17 /** 18 * Power of 2 test. T should be an uinteger type 19 * Params: 20 * arg = an integer value 21 * Returns: true iff arg is 2^n for some n > 0 22 */ 23 bool isPowerOf2(T)(T arg) 24 if (!isPointer!T) 25 { 26 return ((arg != 0 && arg != 1) && ((arg & (arg-1)) == 0)); 27 } 28 29 /** 30 * Return the index of the highest set bit 31 * T is an uinteger type 32 * Params: 33 * n = an integer value 34 * Returns: index of the highest set bit in n 35 */ 36 size_t highBit(T)(T n) 37 if (!isPointer!T) 38 { 39 for (size_t i = 8*T.sizeof; i > 0; --i) 40 if ((n >> (i - 1)) & 0x01) 41 return i; 42 return 0; 43 } 44 45 /** 46 * Return the index of the lowest set bit 47 * T is an uinteger type 48 * Params: 49 * n = an integer value 50 * Returns: index of the lowest set bit in n 51 */ 52 size_t lowBit(T)(T n) 53 if (!isPointer!T) 54 { 55 for (size_t i = 0; i != 8*T.sizeof; ++i) 56 if ((n >> i) & 0x01) 57 return (i + 1); 58 return 0; 59 } 60 61 /** 62 * Return the number of significant bytes in n 63 * Params: 64 * n = an integer value 65 * Returns: number of significant bytes in n 66 */ 67 size_t significantBytes(T)(T n) 68 if (!isPointer!T) 69 { 70 for (size_t i = 0; i != T.sizeof; ++i) 71 if (get_byte(i, n)) 72 return T.sizeof-i; 73 return 0; 74 } 75 76 /** 77 * Compute Hamming weights 78 * Params: 79 * n = an integer value 80 * Returns: number of bits in n set to 1 81 */ 82 size_t hammingWeight(T)(T n) 83 if (!isPointer!T) 84 { 85 __gshared immutable ubyte[] NIBBLE_WEIGHTS = [ 86 0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4 ]; 87 88 size_t weight = 0; 89 for (size_t i = 0; i != 2*T.sizeof; ++i) 90 weight += NIBBLE_WEIGHTS[(n >> (4*i)) & 0x0F]; 91 return weight; 92 } 93 94 /** 95 * Count the trailing zero bits in n 96 * Params: 97 * n = an integer value 98 * Returns: maximum x st 2^x divides n 99 */ 100 size_t ctz(T)(T n) 101 if (!isPointer!T) 102 { 103 for (size_t i = 0; i != 8*T.sizeof; ++i) 104 if ((n >> i) & 0x01) 105 return i; 106 return 8*T.sizeof; 107 }