1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
|
/*
* 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 <botan/types.h>
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<typename T>
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<typename T>
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<typename T>
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<typename T>
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<typename T>
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<typename T>
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);
}
template<typename T>
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
|
