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// ==========================================================================
// SeqAn - The Library for Sequence Analysis
// ==========================================================================
// Copyright (c) 2006-2026, Knut Reinert, FU Berlin
// Copyright (c) 2013 NVIDIA Corporation
// All rights reserved.
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are met:
//
// * Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
// * Redistributions in binary form must reproduce the above copyright
// notice, this list of conditions and the following disclaimer in the
// documentation and/or other materials provided with the distribution.
// * Neither the name of Knut Reinert or the FU Berlin nor the names of
// its contributors may be used to endorse or promote products derived
// from this software without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
// AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
// ARE DISCLAIMED. IN NO EVENT SHALL KNUT REINERT OR THE FU BERLIN BE LIABLE
// FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
// DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
// SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
// CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
// LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
// OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH
// DAMAGE.
//
// ==========================================================================
// Author: Manuel Holtgrewe <manuel.holtgrewe@fu-berlin.de>
// ==========================================================================
// Various useful bit-twiddling routines, mostly taken from the website
// https://graphics.stanford.edu/~seander/bithacks.html
// ==========================================================================
#ifndef SEQAN_MISC_BIT_TWIDDLING_H_
#define SEQAN_MISC_BIT_TWIDDLING_H_
#ifdef STDLIB_VS
// Make intrinsics visible. It appears that this is not necessary with VS 10
// any more, for VS 9, it must be included.
#include <intrin.h>
#ifdef __SSE4_2__
#include <nmmintrin.h>
#endif
#endif // #ifdef STDLIB_VS
// TODO(holtgrew): Test this!
namespace seqan2 {
// ============================================================================
// Forwards
// ============================================================================
template <typename TWord>
struct SimdVectorConcept;
// ============================================================================
// Classes, Structs, Enums, Tags
// ============================================================================
// DeBruijn sequence for 64 bit bitScanReverse.
static const int DeBruijnMultiplyLookupBSR64[64] =
{
0, 47, 1, 56, 48, 27, 2, 60,
57, 49, 41, 37, 28, 16, 3, 61,
54, 58, 35, 52, 50, 42, 21, 44,
38, 32, 29, 23, 17, 11, 4, 62,
46, 55, 26, 59, 40, 36, 15, 53,
34, 51, 20, 43, 31, 22, 10, 45,
25, 39, 14, 33, 19, 30, 9, 24,
13, 18, 8, 12, 7, 6, 5, 63
};
// DeBruijn sequence for 64 bit bitScanForward.
static const int DeBruijnMultiplyLookupBSF64[64] =
{
0, 1, 48, 2, 57, 49, 28, 3,
61, 58, 50, 42, 38, 29, 17, 4,
62, 55, 59, 36, 53, 51, 43, 22,
45, 39, 33, 30, 24, 18, 12, 5,
63, 47, 56, 27, 60, 41, 37, 16,
54, 35, 52, 21, 44, 32, 23, 11,
46, 26, 40, 15, 34, 20, 31, 10,
25, 14, 19, 9, 13, 8, 7, 6
};
// DeBruijn sequence for 32 bit bitScanForward and bitScanReverse.
static const int DeBruijnMultiplyLookup[32] =
{
0, 1, 28, 2, 29, 14, 24, 3,
30, 22, 20, 15, 25, 17, 4, 8,
31, 27, 13, 23, 21, 19, 16, 7,
26, 12, 18, 6, 11, 5, 10, 9
};
// ----------------------------------------------------------------------------
// Tag WordSize_
// ----------------------------------------------------------------------------
// This parametrized tag is used for selecting a _popCountImpl() implementation.
template <unsigned int NUM_BITS>
struct WordSize_ {};
// ============================================================================
// Functions
// ============================================================================
// ----------------------------------------------------------------------------
// Function setBitTo()
// ----------------------------------------------------------------------------
/*!
* @fn setBitTo
* @headerfile <seqan/misc/bit_twiddling.h>
* @brief Set the bit with the given index to the given value.
*
* @signature void setBitTo(word, index, value);
*
* @param[in,out] word The machine word (number) to set bits of (@link IntegerConcept @endlink).
* @param[in] index The index of the bit in the word to set (@link IntegerConcept @endlink).
* @param[in] value The value to set to, <tt>bool</tt>.
*/
template <typename TWord, typename TPos>
inline void
setBitTo(TWord & word, TPos index, bool value)
{
// See https://graphics.stanford.edu/~seander/bithacks.html#ConditionalSetOrClearBitsWithoutBranching
word = (word & ~(1u << index)) | (-value & (1u << index));
}
// ----------------------------------------------------------------------------
// Function setBit()
// ----------------------------------------------------------------------------
/*!
* @fn setBit
* @headerfile <seqan/misc/bit_twiddling.h>
* @brief Set the bit with the given index to 1.
*
* @signature void setBit(word, index);
*
* @param[in,out] word The word to set the bit of (@link IntegerConcept @endlink).
* @param[in] index The index of the bit to set (@link IntegerConcept @endlink).
*/
template <typename TWord, typename TPos>
inline void
setBit(TWord & word, TPos index)
{
word |= (1u << index);
}
// ----------------------------------------------------------------------------
// Function clearBit()
// ----------------------------------------------------------------------------
/*!
* @fn clearBit
* @headerfile <seqan/misc/bit_twiddling.h>
* @brief Set the bit with the given index to 0.
*
* @signature void clearBit(word, index);
*
* @param[in,out] word The machine word to set the bit of (@link IntegerConcept @endlink).
* @param[in] index The index of the bit to set to 0 (@link IntegerConcept @endlink).
*/
template <typename TWord, typename TPos>
inline void
clearBit(TWord & word, TPos index)
{
word &= ~(1u << index);
}
// ----------------------------------------------------------------------------
// Function clearAllBits()
// ----------------------------------------------------------------------------
/*!
* @fn clearAllBits
* @headerfile <seqan/misc/bit_twiddling.h>
* @brief Set all bits to 0.
*
* @signature void clearAllBits(word);
*
* @param[in,out] word The word to clear all bits of (@link IntegerConcept @endlink).
*/
template <typename TWord>
inline void
clearBits(TWord & word)
{
word = 0;
}
// ----------------------------------------------------------------------------
// Function isBitSet()
// ----------------------------------------------------------------------------
/*!
* @fn isBitSet
* @headerfile <seqan/misc/bit_twiddling.h>
* @brief Returns whether the bit with the given index is set to 1.
*
* @signature bool isBitSet(word, index);
*
* @param[in] word The word to check (@link IntegerConcept @endlink).
* @param[in] index The index of the bit to check (@link IntegerConcept @endlink).
*
* @return bool Whether the bit with the given index is set in <tt>word</tt>.
*/
template <typename TWord, typename TIndex>
inline bool
isBitSet(TWord word, TIndex index)
{
typedef typename MakeUnsigned<TWord>::Type TUnsignedWord;
return (word & (TUnsignedWord(1) << index)) != static_cast<TWord>(0);
}
// ----------------------------------------------------------------------------
// Function hiBits()
// ----------------------------------------------------------------------------
template <typename TWord, typename TPos>
inline TWord
hiBits(TWord word, TPos index)
{
return word & ~((TWord(1) << (BitsPerValue<TWord>::VALUE - index)) - TWord(1));
}
// ----------------------------------------------------------------------------
// Function popCount()
// ----------------------------------------------------------------------------
// The compiler-dependent implementations of _popCountImpl() follow.
/*!
* @fn popCount
* @headerfile <seqan/misc/bit_twiddling.h>
* @brief Returns number of set bits in an integer.
*
* @signature unsigned popCount(words);
*
* @param[in] word The word to count the number of set bits of (@link IntegerConcept @endlink).
*
* @return unsigned The number of set bits in <tt>word</tt>.
*/
template <typename TWord>
inline unsigned
popCount(TWord word)
{
return _popCountImpl(word, WordSize_<BitsPerValue<TWord>::VALUE>());
}
// Implementing this platform-independent is tricky. There are two points to platform independentness. First, the
// choice of compiler and second the used CPU. Currently, we do not perform any checks for the CPU and assume that
// the Intel intrinsic POPCNT is available. The function is implemented to work on the supported compilers GCC/MINGW,
// CLANG (which has the same interface as GCC here) and Visual C++.
//
// GCC, MINGW and CLANG provide the intrinsics __builtin_popcount, __builtin_popcountl, and __builtin_popcountll for
// the types unsigned, unsigned long, and unsigned long long. Starting with version 2008, Visual C++ provides the
// intrinsics __popcnt16, __popcnt, and __popcnt64 for 16, 32, and 64 bit words.
// MSVC >= 2008, has intrinsic
#if defined(COMPILER_MSVC) || defined(COMPILER_WINTEL)
// ----------------------------------------------------------------------------
// Function _popCountImpl()
// ----------------------------------------------------------------------------
// MSVC implementations.
template <typename TWord>
inline unsigned
_popCountImpl(TWord word, WordSize_<64> const & /*tag*/)
{
#if defined(_WIN64)
#if defined(__SSE4_2__)
// 64-bit Windows, SSE4.2 bit intrinsic available
return _mm_popcnt_u64(static_cast<uint64_t>(word));
#elif defined(COMPILER_WINTEL)
return _popcnt64(static_cast<uint64_t>(word));
#else
// 64-bit Windows, 64 bit intrinsic available
return __popcnt64(static_cast<uint64_t>(word));
#endif
#else // #if defined(_WIN64)
// 32-bit Windows, 64 bit intrinsic not available
return _popCountImpl(static_cast<const uint32_t>(word), WordSize_<32>())
+ _popCountImpl(static_cast<const uint32_t>(word >> 32), WordSize_<32>());
#endif // #if defined(_WIN64)
}
template <typename TWord>
inline unsigned
_popCountImpl(TWord word, WordSize_<32> const & /*tag*/)
{
#if defined(__SSE4_2__)
// SSE4.2 bit intrinsic available
return _mm_popcnt_u32(static_cast<uint32_t>(word));
#elif defined(COMPILER_WINTEL)
return _popcnt32(static_cast<uint32_t>(word));
#else
return __popcnt(static_cast<uint32_t>(word));
#endif
}
template <typename TWord>
inline unsigned
_popCountImpl(TWord word, WordSize_<16> const & /*tag*/)
{
return __popcnt16(static_cast<uint16_t>(word));
}
template <typename TWord>
inline unsigned
_popCountImpl(TWord word, WordSize_<8> const & /*tag*/)
{
return _popCountImpl(static_cast<const uint16_t>(word), WordSize_<16>());
}
// GCC or CLANG
#elif !(defined(COMPILER_MSVC) || defined(COMPILER_WINTEL))
// ----------------------------------------------------------------------------
// Function _popCountImpl()
// ----------------------------------------------------------------------------
// GCC or CLANG implementations.
// SSE4.2 popcnt is emitted when compiling with -mpopcnt or -march=corei7
template <typename TWord>
inline unsigned
_popCountImpl(TWord word, WordSize_<64> const & /*tag*/)
{
return __builtin_popcountll(static_cast<uint64_t>(word));
}
template <typename TWord>
inline unsigned
_popCountImpl(TWord word, WordSize_<32> const & /*tag*/)
{
return __builtin_popcount(static_cast<uint32_t>(word));
}
template <typename TWord>
inline unsigned
_popCountImpl(TWord word, WordSize_<16> const & /*tag*/)
{
return _popCountImpl(static_cast<uint32_t>(word), WordSize_<32>());
}
template <typename TWord>
inline unsigned
_popCountImpl(TWord word, WordSize_<8> const & /*tag*/)
{
return _popCountImpl(static_cast<uint32_t>(word), WordSize_<32>());
}
#endif // #if !(defined(COMPILER_MSVC) || defined(COMPILER_WINTEL))
// ----------------------------------------------------------------------------
// Function printBits()
// ----------------------------------------------------------------------------
//template <typename TValue>
//inline void printBits(TValue word)
//{
// unsigned bitsPerValue = BitsPerValue<TValue>::VALUE;
// TValue one = 1;
// for (TValue i = 0; i < bitsPerValue; ++i)
// std::cout << ((word >> i) & one);
// std::cout << std::endl;
//}
//template <typename TValue, typename TSize>
//inline std::ostream & printBits(std::ostream & stream, TValue word, TSize blockSize)
//{
// unsigned bitsPerValue = BitsPerValue<TValue>::VALUE;
// bool temp;
// for (int i = bitsPerValue - 1; i >= 0; --i)
// {
// temp = (word >> i) & 1;
// stream << temp;
// if ((bitsPerValue - i) % blockSize == 0)
// stream << " ";
// }
// return stream;
//}
// ----------------------------------------------------------------------------
// Function testAllZeros()
// ----------------------------------------------------------------------------
/*!
* @fn testAllZeros
* @headerfile <seqan/misc.h>
* @brief Tests whether all bits of the given value are set to <b>0</b>.
*
* @signature bool testAllZeros(val)
*
* @param[in] val The value to check the bits for. Must be of type @link IntegerConcept @endlink.
*
* @return bool <tt>true</tt> if all bits are set to <b>0</b>, <tt>false</tt> otherwise.
*
* @see testAllOnes
*/
template <typename TWord>
inline bool testAllZeros(TWord const & val)
{
return val == 0;
}
// ----------------------------------------------------------------------------
// Function testAllOnes()
// ----------------------------------------------------------------------------
/*!
* @fn testAllOnes
* @headerfile <seqan/misc.h>
* @brief Tests whether all bits of the given value are set to <b>1</b>.
*
* @signature bool testAllOnes(val)
*
* @param[in] val The value to check the bits for. Must be of type @link IntegerConcept @endlink.
*
* @return bool <tt>true</tt> if all bits are set to <b>1</b>, <tt>false</tt> otherwise.
*
* @see testAllZeros
*/
template <typename TWord>
inline bool _testAllOnes(TWord const & val, False)
{
return val == ~static_cast<TWord>(0);
}
template <typename TWord>
inline bool testAllOnes(TWord const & val)
{
return _testAllOnes(val, typename Is<SimdVectorConcept<TWord> >::Type());
}
// ----------------------------------------------------------------------------
// Function _bitScanReverseGeneric() [Platform independent]
// ----------------------------------------------------------------------------
// bitScanReverse for 32 bit integers using DeBruijn sequence by Eric Cole, January 8, 2006.
template <typename TWord>
inline TWord
_bitScanReverseGeneric(TWord word, WordSize_<32>)
{
return DeBruijnMultiplyLookup[static_cast<uint32_t>(word * 0x077CB531U) >> 27];
}
// bitScanReverse for 64 bit integers using DeBruijn sequence by Kim Walisch and Mark Dickinson.
template <typename TWord>
inline TWord
_bitScanReverseGeneric(TWord word, WordSize_<64>)
{
word |= word >> 1; word |= word >> 2; word |= word >> 4; word |= word >> 8; word |= word >> 16; word |= word >> 32;
return DeBruijnMultiplyLookupBSR64[static_cast<uint64_t>(word * 0x03f79d71b4cb0a89ULL) >> 58];
}
// ----------------------------------------------------------------------------
// Function _bitScanReverse() [Platform independent]
// ----------------------------------------------------------------------------
template <typename TWord, unsigned int NUM_BITS>
inline TWord
_bitScanReverse(TWord word, WordSize_<NUM_BITS>)
{
return _bitScanReverseGeneric(word, WordSize_<NUM_BITS>());
}
// ----------------------------------------------------------------------------
// Function _bitScanForwardGeneric() [Platform independent]
// ----------------------------------------------------------------------------
// bitScanForward implementations for 64 and 32 bit values using DeBruijn sequence by Martin L�uter, Charles E. Leiserson,
// Harald Prokop and Keith H. Randall; "Using de Bruijn Sequences to Index a 1 in a Computer Word"; (1997)
// Note, the cast of word to a signed integer is necessary to fix compiler warning C4146 on Windows platforms.
template <typename TWord>
inline TWord
_bitScanForwardGeneric(TWord word, WordSize_<32>)
{
return DeBruijnMultiplyLookup[static_cast<uint32_t>(((word & -static_cast<int32_t>(word)) * 0x077CB531U)) >> 27];
}
template <typename TWord>
inline TWord
_bitScanForwardGeneric(TWord word, WordSize_<64>)
{
return DeBruijnMultiplyLookupBSF64[static_cast<uint64_t>((word & -static_cast<int64_t>(word)) * 0x03f79d71b4cb0a89ULL) >> 58];
}
// ----------------------------------------------------------------------------
// Function _bitScanForward() [Platform independent]
// ----------------------------------------------------------------------------
template <typename TWord, unsigned int NUM_BITS>
inline TWord
_bitScanForward(TWord word, WordSize_<NUM_BITS>)
{
return _bitScanForwardGeneric(word, WordSize_<NUM_BITS>());
}
// NOTE(marehr): The Intel compiler on windows behaves the same as the visual
// studio compiler and on *nix the same as gcc. Thus, the __builtin_clz is only
// available on *nix.
#if defined(COMPILER_GCC) || defined(COMPILER_CLANG) || defined(COMPILER_LINTEL)
template <typename TWord>
inline TWord
_bitScanReverse(TWord word, WordSize_<64>)
{
return 63 - __builtin_clzll(static_cast<unsigned long long>(word));
}
template <typename TWord>
inline TWord
_bitScanReverse(TWord word, WordSize_<32>)
{
return 31 - __builtin_clz(static_cast<unsigned int>(word));
}
template <typename TWord>
inline TWord
_bitScanForward(TWord word, WordSize_<64>)
{
return __builtin_ctzll(static_cast<unsigned long long>(word));
}
template <typename TWord>
inline TWord
_bitScanForward(TWord word, WordSize_<32>)
{
return __builtin_ctz(static_cast<unsigned int>(word));
}
#elif defined(STDLIB_VS) // #if !(defined(COMPILER_GCC) || defined(COMPILER_CLANG) || defined(COMPILER_LINTEL)) && defined(STDLIB_VS)
#if (SEQAN_IS_64_BIT)
template <typename TWord>
inline TWord
_bitScanReverse(TWord word, WordSize_<64>)
{
unsigned long index;
_BitScanReverse64(&index, static_cast<uint64_t>(word));
return index;
}
template <typename TWord>
inline TWord
_bitScanForward(TWord word, WordSize_<64>)
{
unsigned long index;
_BitScanForward64(&index, static_cast<uint64_t>(word));
return index;
}
#else
template <typename TWord>
inline TWord
_bitScanReverse(TWord word, WordSize_<64>)
{
unsigned long index;
unsigned long hi = word >> 32;
if (hi == 0u)
{
_BitScanReverse(&index, word);
return index;
}
_BitScanReverse(&index, hi);
return index + 32;
}
template <typename TWord>
inline TWord
_bitScanForward(TWord word, WordSize_<64>)
{
unsigned long index;
unsigned long lo = word & ~static_cast<unsigned long>(0);
if (lo == 0u)
{
_BitScanForward(&index, word >> 32);
return index + 32;
}
_BitScanForward(&index, lo);
return index;
}
#endif // if (SEQAN_IS_64_BIT)
template <typename TWord>
inline TWord
_bitScanReverse(TWord word, WordSize_<32>)
{
unsigned long index;
_BitScanReverse(&index, static_cast<unsigned long>(word));
return index;
}
template <typename TWord>
inline TWord
_bitScanForward(TWord word, WordSize_<32>)
{
unsigned long index;
_BitScanForward(&index, static_cast<unsigned long>(word));
return index;
}
#endif // #if !(defined(COMPILER_GCC) || defined(COMPILER_CLANG) || defined(COMPILER_LINTEL)) && defined(STDLIB_VS)
// ----------------------------------------------------------------------------
// Function bitScanReverse()
// ----------------------------------------------------------------------------
/*!
* @fn bitScanReverse
* @headerfile <seqan/misc.h>
* @brief Returns the index of the last set bit in the binary representation of the given value.
* @note If <tt>val</tt> is 0 the return value is undefined.
*
* @signature TWord bitScanReverse(val)
*
* @param[in] val The value to scan. Has to be non-zero.
*
* @return TWord The index of the last set bit in <tt>val</tt>, where <tt>TWord</tt> is the value of <tt>val</tt>.
*
* @see bitScanForward
*/
template <typename TWord>
inline SEQAN_FUNC_ENABLE_IF(Is<IntegerConcept<TWord> >, TWord)
bitScanReverse(TWord word)
{
SEQAN_ASSERT_NEQ(word, static_cast<TWord>(0));
return _bitScanReverse(word, WordSize_<(BitsPerValue<TWord>::VALUE <= 32) ? 32 : BitsPerValue<TWord>::VALUE>());
}
// ----------------------------------------------------------------------------
// Function bitScanForward()
// ----------------------------------------------------------------------------
/*!
* @fn bitScanForward
* @headerfile <seqan/misc.h>
* @brief Returns the index of the first set bit in the binary representation of the given value.
* @note If <tt>val</tt> is 0 the return value is undefined.
*
* @signature TWord bitScanForward(val)
*
* @param[in] val The value to scan. Has to be non-zero.
*
* @return TWord The index of the first set bit in <tt>val</tt>, where <tt>TWord</tt> is the value of <tt>val</tt>.
*
* @see bitScanReverse
*/
template <typename TWord>
inline SEQAN_FUNC_ENABLE_IF( Is<IntegerConcept<TWord> >, TWord)
bitScanForward(TWord word)
{
SEQAN_ASSERT_NEQ(word, static_cast<TWord>(0));
return _bitScanForward(word, WordSize_<(BitsPerValue<TWord>::VALUE <= 32) ? 32 : BitsPerValue<TWord>::VALUE>());
}
} // namespace seqan2
#endif // #ifndef SEQAN_MISC_BIT_TWIDDLING_H_
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