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authorChanho Park <chanho61.park@samsung.com>2014-12-11 18:55:56 +0900
committerChanho Park <chanho61.park@samsung.com>2014-12-11 18:55:56 +0900
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+/////////////////////////////////////////////////////////////////////////////
+//
+// (C) Copyright Ion Gaztanaga 2014-2014
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+//
+// See http://www.boost.org/libs/intrusive for documentation.
+//
+/////////////////////////////////////////////////////////////////////////////
+
+#ifndef BOOST_INTRUSIVE_DETAIL_MATH_HPP
+#define BOOST_INTRUSIVE_DETAIL_MATH_HPP
+
+#if defined(_MSC_VER)
+# pragma once
+#endif
+
+#include <cstddef>
+#include <climits>
+
+namespace boost {
+namespace intrusive {
+namespace detail {
+
+///////////////////////////
+// floor_log2 Dispatcher
+////////////////////////////
+
+#if defined(_MSC_VER) && (_MSC_VER >= 1300)
+
+ }}} //namespace boost::intrusive::detail
+
+ //Use _BitScanReverseXX intrinsics
+
+ #if defined(_M_X64) || defined(_M_AMD64) || defined(_M_IA64) //64 bit target
+ #define BOOST_INTRUSIVE_BSR_INTRINSIC_64_BIT
+ #endif
+
+ #ifndef __INTRIN_H_ // Avoid including any windows system header
+ #ifdef __cplusplus
+ extern "C" {
+ #endif // __cplusplus
+
+ #if defined(BOOST_INTRUSIVE_BSR_INTRINSIC_64_BIT) //64 bit target
+ unsigned char _BitScanReverse64(unsigned long *index, unsigned __int64 mask);
+ #pragma intrinsic(_BitScanReverse64)
+ #else //32 bit target
+ unsigned char _BitScanReverse(unsigned long *index, unsigned long mask);
+ #pragma intrinsic(_BitScanReverse)
+ #endif
+
+ #ifdef __cplusplus
+ }
+ #endif // __cplusplus
+ #endif // __INTRIN_H_
+
+ #ifdef BOOST_INTRUSIVE_BSR_INTRINSIC_64_BIT
+ #define BOOST_INTRUSIVE_BSR_INTRINSIC _BitScanReverse64
+ #undef BOOST_INTRUSIVE_BSR_INTRINSIC_64_BIT
+ #else
+ #define BOOST_INTRUSIVE_BSR_INTRINSIC _BitScanReverse
+ #endif
+
+ namespace boost {
+ namespace intrusive {
+ namespace detail {
+
+ inline std::size_t floor_log2 (std::size_t x)
+ {
+ unsigned long log2;
+ BOOST_INTRUSIVE_BSR_INTRINSIC( &log2, (unsigned long)x );
+ return log2;
+ }
+
+ #undef BOOST_INTRUSIVE_BSR_INTRINSIC
+
+#elif defined(__GNUC__) && ((__GNUC__ >= 4) || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4)) //GCC >=3.4
+
+ //Compile-time error in case of missing specialization
+ template<class Uint>
+ struct builtin_clz_dispatch;
+
+ #if defined(BOOST_HAS_LONG_LONG)
+ template<>
+ struct builtin_clz_dispatch<unsigned long long>
+ {
+ static unsigned long long call(unsigned long long n)
+ { return __builtin_clzll(n); }
+ };
+ #endif
+
+ template<>
+ struct builtin_clz_dispatch<unsigned long>
+ {
+ static unsigned long call(unsigned long n)
+ { return __builtin_clzl(n); }
+ };
+
+ template<>
+ struct builtin_clz_dispatch<unsigned int>
+ {
+ static unsigned int call(unsigned int n)
+ { return __builtin_clz(n); }
+ };
+
+ inline std::size_t floor_log2(std::size_t n)
+ {
+ return sizeof(std::size_t)*CHAR_BIT - std::size_t(1) - builtin_clz_dispatch<std::size_t>::call(n);
+ }
+
+#else //Portable methods
+
+////////////////////////////
+// Generic method
+////////////////////////////
+
+ inline std::size_t floor_log2_get_shift(std::size_t n, true_ )//power of two size_t
+ { return n >> 1; }
+
+ inline std::size_t floor_log2_get_shift(std::size_t n, false_ )//non-power of two size_t
+ { return (n >> 1) + ((n & 1u) & (n != 1)); }
+
+ template<std::size_t N>
+ inline std::size_t floor_log2 (std::size_t x, integer<std::size_t, N>)
+ {
+ const std::size_t Bits = N;
+ const bool Size_t_Bits_Power_2= !(Bits & (Bits-1));
+
+ std::size_t n = x;
+ std::size_t log2 = 0;
+
+ std::size_t remaining_bits = Bits;
+ std::size_t shift = floor_log2_get_shift(remaining_bits, bool_<Size_t_Bits_Power_2>());
+ while(shift){
+ std::size_t tmp = n >> shift;
+ if (tmp){
+ log2 += shift, n = tmp;
+ }
+ shift = floor_log2_get_shift(shift, bool_<Size_t_Bits_Power_2>());
+ }
+
+ return log2;
+ }
+
+ ////////////////////////////
+ // DeBruijn method
+ ////////////////////////////
+
+ //Taken from:
+ //http://stackoverflow.com/questions/11376288/fast-computing-of-log2-for-64-bit-integers
+ //Thanks to Desmond Hume
+
+ inline std::size_t floor_log2 (std::size_t v, integer<std::size_t, 32>)
+ {
+ static const int MultiplyDeBruijnBitPosition[32] =
+ {
+ 0, 9, 1, 10, 13, 21, 2, 29, 11, 14, 16, 18, 22, 25, 3, 30,
+ 8, 12, 20, 28, 15, 17, 24, 7, 19, 27, 23, 6, 26, 5, 4, 31
+ };
+
+ v |= v >> 1;
+ v |= v >> 2;
+ v |= v >> 4;
+ v |= v >> 8;
+ v |= v >> 16;
+
+ return MultiplyDeBruijnBitPosition[(std::size_t)(v * 0x07C4ACDDU) >> 27];
+ }
+
+ inline std::size_t floor_log2 (std::size_t v, integer<std::size_t, 64>)
+ {
+ static const std::size_t MultiplyDeBruijnBitPosition[64] = {
+ 63, 0, 58, 1, 59, 47, 53, 2,
+ 60, 39, 48, 27, 54, 33, 42, 3,
+ 61, 51, 37, 40, 49, 18, 28, 20,
+ 55, 30, 34, 11, 43, 14, 22, 4,
+ 62, 57, 46, 52, 38, 26, 32, 41,
+ 50, 36, 17, 19, 29, 10, 13, 21,
+ 56, 45, 25, 31, 35, 16, 9, 12,
+ 44, 24, 15, 8, 23, 7, 6, 5};
+
+ v |= v >> 1;
+ v |= v >> 2;
+ v |= v >> 4;
+ v |= v >> 8;
+ v |= v >> 16;
+ v |= v >> 32;
+ return MultiplyDeBruijnBitPosition[((std::size_t)((v - (v >> 1))*0x07EDD5E59A4E28C2ULL)) >> 58];
+ }
+
+
+ inline std::size_t floor_log2 (std::size_t x)
+ {
+ const std::size_t Bits = sizeof(std::size_t)*CHAR_BIT;
+ return floor_log2(x, integer<std::size_t, Bits>());
+ }
+
+#endif
+
+//Thanks to Laurent de Soras in
+//http://www.flipcode.com/archives/Fast_log_Function.shtml
+inline float fast_log2 (float val)
+{
+ union caster_t
+ {
+ unsigned x;
+ float val;
+ } caster;
+
+ caster.val = val;
+ unsigned x = caster.x;
+ const int log_2 = int((x >> 23) & 255) - 128;
+ x &= ~(unsigned(255u) << 23u);
+ x += unsigned(127) << 23u;
+ caster.x = x;
+ val = caster.val;
+ //1+log2(m), m ranging from 1 to 2
+ //3rd degree polynomial keeping first derivate continuity.
+ //For less precision the line can be commented out
+ val = ((-1.f/3.f) * val + 2.f) * val - (2.f/3.f);
+ return val + static_cast<float>(log_2);
+}
+
+inline std::size_t ceil_log2 (std::size_t x)
+{
+ return static_cast<std::size_t>((x & (x-1)) != 0) + floor_log2(x);
+}
+
+template<class SizeType, std::size_t N>
+struct numbits_eq
+{
+ static const bool value = sizeof(SizeType)*CHAR_BIT == N;
+};
+
+template<class SizeType, class Enabler = void >
+struct sqrt2_pow_max;
+
+template <class SizeType>
+struct sqrt2_pow_max<SizeType, typename enable_if< numbits_eq<SizeType, 32> >::type>
+{
+ static const SizeType value = 0xb504f334;
+ static const std::size_t pow = 31;
+};
+
+#ifndef BOOST_NO_INT64_T
+
+template <class SizeType>
+struct sqrt2_pow_max<SizeType, typename enable_if< numbits_eq<SizeType, 64> >::type>
+{
+ static const SizeType value = 0xb504f333f9de6484ull;
+ static const std::size_t pow = 63;
+};
+
+#endif //BOOST_NO_INT64_T
+
+// Returns floor(pow(sqrt(2), x * 2 + 1)).
+// Defined for X from 0 up to the number of bits in size_t minus 1.
+inline std::size_t sqrt2_pow_2xplus1 (std::size_t x)
+{
+ const std::size_t value = (std::size_t)sqrt2_pow_max<std::size_t>::value;
+ const std::size_t pow = (std::size_t)sqrt2_pow_max<std::size_t>::pow;
+ return (value >> (pow - x)) + 1;
+}
+
+} //namespace detail
+} //namespace intrusive
+} //namespace boost
+
+#endif //BOOST_INTRUSIVE_DETAIL_MATH_HPP