1 // -------------- Boost static_log2.hpp header file ----------------------- //
3 // Copyright (C) 2001 Daryle Walker.
4 // Copyright (C) 2003 Vesa Karvonen.
5 // Copyright (C) 2003 Gennaro Prota.
7 // Distributed under the Boost Software License, Version 1.0.
8 // (See accompanying file LICENSE_1_0.txt or copy at
9 // http://www.boost.org/LICENSE_1_0.txt)
11 // ---------------------------------------------------
12 // See http://www.boost.org/libs/integer for documentation.
13 // ------------------------------------------------------------------------- //
16 #ifndef BOOST_INTEGER_STATIC_LOG2_HPP
17 #define BOOST_INTEGER_STATIC_LOG2_HPP
19 #include "boost/integer_fwd.hpp" // for boost::intmax_t
25 namespace static_log2_impl
{
29 // Recursively doubles its integer argument, until it
30 // becomes >= of the "width" (C99, 6.2.6.2p4) of
31 // static_log2_argument_type.
33 // Used to get the maximum power of two less then the width.
35 // Example: if on your platform argument_type has 48 value
36 // bits it yields n=32.
38 // It's easy to prove that, starting from such a value
39 // of n, the core algorithm works correctly for any width
40 // of static_log2_argument_type and that recursion always
41 // terminates with x = 1 and n = 0 (see the algorithm's
44 typedef boost::static_log2_argument_type argument_type
;
45 typedef boost::static_log2_result_type result_type
;
47 template <result_type n
>
48 struct choose_initial_n
{
50 BOOST_STATIC_CONSTANT(bool, c
= (argument_type(1) << n
<< n
) != 0);
51 BOOST_STATIC_CONSTANT(
53 value
= !c
*n
+ choose_initial_n
<2*c
*n
>::value
59 struct choose_initial_n
<0> {
60 BOOST_STATIC_CONSTANT(result_type
, value
= 0);
65 // start computing from n_zero - must be a power of two
66 const result_type n_zero
= 16;
67 const result_type initial_n
= choose_initial_n
<n_zero
>::value
;
73 // 1 <= x && x < 2 at the start of each recursion
74 // (see also choose_initial_n<>)
76 // * Type requirements:
78 // argument_type maybe any unsigned type with at least n_zero + 1
79 // value bits. (Note: If larger types will be standardized -e.g.
80 // unsigned long long- then the argument_type typedef can be
81 // changed without affecting the rest of the code.)
84 template <argument_type x
, result_type n
= initial_n
>
85 struct static_log2_impl
{
87 BOOST_STATIC_CONSTANT(bool, c
= (x
>> n
) > 0); // x >= 2**n ?
88 BOOST_STATIC_CONSTANT(
90 value
= c
*n
+ (static_log2_impl
< (x
>>c
*n
), n
/2 >::value
)
96 struct static_log2_impl
<1, 0> {
97 BOOST_STATIC_CONSTANT(result_type
, value
= 0);
105 // --------------------------------------
107 // ----------------------------------------
109 template <static_log2_argument_type x
>
112 BOOST_STATIC_CONSTANT(
113 static_log2_result_type
,
114 value
= detail::static_log2_impl::static_log2_impl
<x
>::value
121 struct static_log2
<0> { };
127 #endif // include guard