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TurboPFor-Integer-Compression/bitutil.h
x 1c8646137a BitUtil: c/c++ header
2018-01-05 22:33:31 +01:00

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/**
Copyright (C) powturbo 2013-2018
GPL v2 License
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License along
with this program; if not, write to the Free Software Foundation, Inc.,
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
- homepage : https://sites.google.com/site/powturbo/
- github : https://github.com/powturbo
- twitter : https://twitter.com/powturbo
- email : powturbo [_AT_] gmail [_DOT_] com
**/
// "Integer Compression: max.bits, delta, zigzag, xor"
#if defined(_MSC_VER) && _MSC_VER < 1600
#include "vs/stdint.h"
#else
#include <stdint.h>
#endif
#define BITFORSET_(_out_, _n_, _start_, _mindelta_) do { unsigned _i;\
for(_i = 0; _i != (_n_&~3); _i+=4) {\
_out_[_i+0] = _start_+(_i )*_mindelta_;\
_out_[_i+1] = _start_+(_i+1)*_mindelta_;\
_out_[_i+2] = _start_+(_i+2)*_mindelta_;\
_out_[_i+3] = _start_+(_i+3)*_mindelta_;\
}\
while(_i != _n_)\
_out_[_i] = _start_+_i*_mindelta_, ++_i;\
} while(0)
#define BITSIZE_(_in_, _n_, _b_, _usize_) { TEMPLATE3(uint, _usize_, _t) *_ip,_u=0;\
for(_ip = _in_; _ip != _in_+(_n_&~(4-1)); _ip+=4)\
_u |= _ip[0] | _ip[1] | _ip[2] | _ip[3];\
while(_ip != _in_+_n_) \
_u |= *_ip++;\
_b_ = TEMPLATE2(bsr, _usize_)(_u);\
}
#define BITSIZE8( _in_, _n_, _b_) BITSIZE_(_in_, _n_, _b_, 8)
#define BITSIZE16(_in_, _n_, _b_) BITSIZE_(_in_, _n_, _b_, 16)
#define BITSIZE64(_in_, _n_, _b_) BITSIZE_(_in_, _n_, _b_, 64)
static inline unsigned char zigzagenc8( char x) { return x << 1 ^ x >> 7; }
static inline unsigned char zigzagdec8( unsigned short x) { return x >> 1 ^ -(x & 1); }
static inline unsigned short zigzagenc16(short x) { return x << 1 ^ x >> 15; }
static inline unsigned short zigzagdec16(unsigned short x) { return x >> 1 ^ -(x & 1); }
static inline unsigned zigzagenc31(int x) { x = (x << 2 | ((x>>30)& 2)) ^ x >> 31; return x; } // for signed x
static inline unsigned zigzagdec31(unsigned x) { return (x >> 2 | (x& 2)<<30 ) ^ -(x & 1); }
static inline unsigned long long zigzagenc63(long long x) { x = (x << 2 | ((x>>62)& 2)) ^ x >> 63; return x; } // for signed x
static inline unsigned long long zigzagdec63(unsigned long long x) { return (x >> 2 | (x& 2)<<62 ) ^ -(x & 1); }
static inline unsigned zigzagenc32(int x) { return x << 1 ^ x >> 31; }
static inline unsigned zigzagdec32(unsigned x) { return x >> 1 ^ -(x & 1); }
static inline uint64_t zigzagenc64(int64_t x) { return x << 1 ^ x >> 63; }
static inline uint64_t zigzagdec64(uint64_t x) { return x >> 1 ^ -(x & 1); }
#ifdef __AVX2__
#include <immintrin.h>
#define DELTA256x32(_v_, _sv_) _mm256_sub_epi32(_v_, _mm256_or_si256(_mm256_srli_si256( _mm256_permute2x128_si256(_sv_, _sv_, _MM_SHUFFLE(2, 0, 0, 1)), 12),\
_mm256_alignr_epi8(_v_, _mm256_permute2x128_si256(_v_, _v_, _MM_SHUFFLE(0, 0, 2, 0)), 12)))
#define SCAN256x32( _v_, _sv_) {\
_v_ = _mm256_add_epi32(_v_, _mm256_slli_si256(_v_, 4));\
_v_ = _mm256_add_epi32(_v_, _mm256_slli_si256(_v_, 8));\
_sv_ = _mm256_add_epi32( _mm256_permute2x128_si256( _mm256_shuffle_epi32(_sv_,_MM_SHUFFLE(3, 3, 3, 3)), _sv_, 0x11), \
_mm256_add_epi32(_v_, _mm256_permute2x128_si256(zv,_mm256_shuffle_epi32(_v_, _MM_SHUFFLE(3, 3, 3, 3)), 0x20)));\
}
#define SCANI256x32(_v_, _sv_, _vi_) SCAN256x32(_v_, _sv_); _sv_ = _mm256_add_epi32(_sv_, _vi_)
#define ZIGZAG256x32(_v_) _mm256_xor_si256(_mm256_slli_epi32(_v_,1), _mm256_srai_epi32(_v_,31))
#define UNZIGZAG256x32(_v_) _mm256_xor_si256(_mm256_srli_epi32(_v_,1), _mm256_srai_epi32(_mm256_slli_epi32(_v_,31),31) )
#define HOR256x32(_v_,_b_) _v_ = _mm256_or_si256(_v_, _mm256_srli_si256(_v_, 8)); _v_ = _mm256_or_s256(_v_, _mm256_srli_si256(_v_, 4));\
_b_ = _mm256_extract_epi32(_v_,0) | _mm256_extract_epi32(_v_, 4)
#endif
#ifdef __SSE2__
#include <emmintrin.h>
#define DELTA128x32(_v_, _sv_) _mm_sub_epi32(_v_, _mm_or_si128(_mm_srli_si128(_sv_, 12), _mm_slli_si128(_v_, 4)))
// SIMD Scan ( prefix sum )
#define SCAN128x32( _v_, _sv_) _v_ = _mm_add_epi32(_v_, _mm_slli_si128(_v_, 4)); _sv_ = _mm_add_epi32(_mm_shuffle_epi32(_sv_, _MM_SHUFFLE(3, 3, 3, 3)), _mm_add_epi32(_mm_slli_si128(_v_, 8), _v_) )
#define SCANI128x32(_v_, _sv_, _vi_) SCAN128x32(_v_, _sv_); _sv_ = _mm_add_epi32(_sv_, _vi_)
#define ZIGZAG128x32(_v_) _mm_xor_si128(_mm_slli_epi32(_v_,1), _mm_srai_epi32(_v_,31))
#define UNZIGZAG128x32(_v_) _mm_xor_si128(_mm_srli_epi32(_v_,1), _mm_srai_epi32(_mm_slli_epi32(_v_,31),31) ) //_mm_sub_epi32(cz, _mm_and_si128(iv,c1))
// SIMD Horizontal OR
#define HOR128x32(_v_,_b_) _v_ = _mm_or_si128(_v_, _mm_srli_si128(_v_, 8)); _v_ = _mm_or_si128(_v_, _mm_srli_si128(_v_, 4)); _b_ = (unsigned)_mm_cvtsi128_si32(_v_)
#endif
#if defined(__AVX2__) && defined(USE_AVX2)
#define BITSIZE32(_in_, _n_, _b_) { unsigned *_ip; __m256i _v = _mm256_setzero_si256();\
for(_ip = _in_; _ip != _in_+(_n_&~(8-1)); _ip+=8)\
_v = _mm256_or_si256(_v, _mm256_loadu_si256((__m256i*)_ip));\
HOR256x32(_v,_b_);\
while(_ip != _in_+_n_)\
_b_ |= *_ip++;\
_b_ = bsr32(_b_);\
}
#define BITZERO32(_out_, _n_, _start_) do {\
__m256i _sv_ = _mm256_set1_epi32(_start_), *_ov = (__m256i *)(_out_), *_ove = (__m256i *)(_out_ + _n_);\
do _mm256_storeu_si256(_ov++, _sv_); while(_ov < _ove);\
} while(0)
#define BITFORZERO32(_out_, _n_, _start_, _mindelta_) do {\
__m256i _sv = _mm256_set1_epi32(_start_), *_ov=(__m256i *)(_out_), *_ove = (__m256i *)(_out_ + _n_), _cv = _mm256_set_epi32(7+_mindelta_,6+_mindelta_,5+_mindelta_,4+_mindelta_,3*_mindelta_,2*_mindelta_,1*_mindelta_,0); \
_sv = _mm256_add_epi32(_sv, _cv);\
_cv = _mm256_set1_epi32(4);\
do { _mm256_storeu_si256(_ov++, _sv); _sv = _mm256_add_epi32(_sv, _cv); } while(_ov < _ove);\
} while(0)
#define BITDIZERO32(_out_, _n_, _start_, _mindelta_) do { __m256i _sv = _mm256_set1_epi32(_start_), _cv = _mm256_set_epi32(7+_mindelta_,6+_mindelta_,5+_mindelta_,4+_mindelta_,3+_mindelta_,2+_mindelta_,1+_mindelta_,_mindelta_), *_ov=(__m256i *)(_out_), *_ove = (__m256i *)(_out_ + _n_);\
_sv = _mm256_add_epi32(_sv, _cv); _cv = _mm256_set1_epi32(4*_mindelta_); do { _mm256_storeu_si256(_ov++, _sv), _sv = _mm256_add_epi32(_sv, _cv); } while(_ov < _ove);\
} while(0)
#elif defined(__SSE2__) // -------------
#define BITSIZE32(_in_, _n_, _b_) { unsigned *_ip; __m128i _v = _mm_setzero_si128();\
for(_ip = _in_; _ip != _in_+(_n_&~(4-1)); _ip+=4)\
_v = _mm_or_si128(_v, _mm_loadu_si128((__m128i*)_ip));\
HOR128x32(_v,_b_);\
while(_ip != _in_+_n_)\
_b_ |= *_ip++;\
_b_ = bsr32(_b_);\
}
// SIMD set value
#define BITZERO32(_out_, _n_, _start_) do {\
__m128i _sv_ = _mm_set1_epi32(_start_), *_ov = (__m128i *)(_out_), *_ove = (__m128i *)(_out_ + _n_);\
do _mm_storeu_si128(_ov++, _sv_); while(_ov < _ove); \
} while(0)
#define BITFORZERO32(_out_, _n_, _start_, _mindelta_) do {\
__m128i _sv = _mm_set1_epi32(_start_), *_ov=(__m128i *)(_out_), *_ove = (__m128i *)(_out_ + _n_), _cv = _mm_set_epi32(3*_mindelta_,2*_mindelta_,1*_mindelta_,0); \
_sv = _mm_add_epi32(_sv, _cv);\
_cv = _mm_set1_epi32(4);\
do { _mm_storeu_si128(_ov++, _sv); _sv = _mm_add_epi32(_sv, _cv); } while(_ov < _ove);\
} while(0)
#define BITDIZERO32(_out_, _n_, _start_, _mindelta_) do { __m128i _sv = _mm_set1_epi32(_start_), _cv = _mm_set_epi32(3+_mindelta_,2+_mindelta_,1+_mindelta_,_mindelta_), *_ov=(__m128i *)(_out_), *_ove = (__m128i *)(_out_ + _n_);\
_sv = _mm_add_epi32(_sv, _cv); _cv = _mm_set1_epi32(4*_mindelta_); do { _mm_storeu_si128(_ov++, _sv), _sv = _mm_add_epi32(_sv, _cv); } while(_ov < _ove);\
} while(0)
#else
#define BITSIZE32( _in_, _n_, _b_) BITSIZE_(_in_, _n_, _b_, 32)
#define BITFORZERO32(_out_, _n_, _start_, _mindelta_) BITFORSET_(_out_, _n_, _start_, _mindelta_)
#define BITZERO32( _out_, _n_, _start_) BITFORSET_(_out_, _n_, _start_, 0)
#endif
#define DELTR( _in_, _n_, _start_, _mindelta_, _out_) { unsigned _v; for( _v = 0; _v < _n_; _v++) _out_[_v] = _in_[_v] - (_start_) - _v*(_mindelta_) - (_mindelta_); }
#define DELTRB(_in_, _n_, _start_, _mindelta_, _b_, _out_) { unsigned _v; for(_b_=0,_v = 0; _v < _n_; _v++) _out_[_v] = _in_[_v] - (_start_) - _v*(_mindelta_) - (_mindelta_), _b_ |= _out_[_v]; _b_ = bsr32(_b_); }
#ifdef __cplusplus
extern "C" {
#endif
//------------- get maximum bit length of the elements in the integer array -----------------------
unsigned bit8( uint8_t *in, unsigned n);
unsigned bit16( uint16_t *in, unsigned n);
unsigned bit32( uint32_t *in, unsigned n);
unsigned bit64( uint64_t *in, unsigned n);
//------------- Delta for sorted integer array ----------------------------------------------------
//-- get delta maximum bit length of the non decreasing integer array. out[i] = in[i] - in[i-1]
unsigned bitd8( uint8_t *in, unsigned n, uint8_t start);
unsigned bitd16( uint16_t *in, unsigned n, uint16_t start);
unsigned bitd32( uint32_t *in, unsigned n, uint32_t start);
unsigned bitd64( uint64_t *in, unsigned n, uint64_t start);
//-- in-place reverse delta (encoded w/ bitdiencNN and parameter mindelta=0)
void bitddec8( uint8_t *p, unsigned n, uint8_t start); // non decreasing (out[i] = in[i] - in[i-1])
void bitddec16( uint16_t *p, unsigned n, uint16_t start);
void bitddec32( uint32_t *p, unsigned n, uint32_t start);
void bitddec64( uint64_t *p, unsigned n, uint64_t start);
//-- get delta maximum bit length of the non strictly decreasing integer array. out[i] = in[i] - in[i-1] - 1
unsigned bitd18( uint8_t *in, unsigned n, uint8_t start);
unsigned bitd116( uint16_t *in, unsigned n, uint16_t start);
unsigned bitd132( uint32_t *in, unsigned n, uint32_t start);
unsigned bitd164( uint64_t *in, unsigned n, uint64_t start);
//-- in-place reverse delta (encoded w/ bitdiencNN and parameter mindelta = 1)
void bitd1dec8( uint8_t *p, unsigned n, uint8_t start); // non strictly decreasing (out[i] = in[i] - in[i-1] - 1)
void bitd1dec16( uint16_t *p, unsigned n, uint16_t start);
void bitd1dec32( uint32_t *p, unsigned n, uint32_t start);
void bitd1dec64( uint64_t *p, unsigned n, uint64_t start);
//-- get min. delta (mindelta = in[i] - in[i-1])
uint8_t bitdi8( uint8_t *in, unsigned n, uint8_t start);
uint16_t bitdi16( uint16_t *in, unsigned n, uint16_t start);
uint32_t bitdi32( uint32_t *in, unsigned n, uint32_t start);
uint64_t bitdi64( uint64_t *in, unsigned n, uint64_t start);
//-- encode sorted integer array to delta array: out[i] = in[i] - in[i-1] - mindelta
unsigned bitdienc8( uint8_t *in, unsigned n, uint8_t *out, uint8_t start, uint8_t mindelta);
unsigned bitdienc16(uint16_t *in, unsigned n, uint16_t *out, uint16_t start, uint16_t mindelta);
unsigned bitdienc32(uint32_t *in, unsigned n, uint32_t *out, uint32_t start, uint32_t mindelta);
unsigned bitdienc64(uint64_t *in, unsigned n, uint64_t *out, uint64_t start, uint64_t mindelta);
//-- in-place reverse delta
void bitdidec8( uint8_t *p, unsigned n, uint8_t start, uint8_t mindelta);
void bitdidec16( uint16_t *p, unsigned n, uint16_t start, uint16_t mindelta);
void bitdidec32( uint32_t *p, unsigned n, uint32_t start, uint32_t mindelta);
void bitdidec64( uint64_t *p, unsigned n, uint64_t start, uint64_t mindelta);
//------------- FOR array bit length: out[i] = in[i] - start -------------------------------------
unsigned bitf32( uint32_t *in, unsigned n, uint32_t start); // sorted
unsigned bitf132( uint32_t *in, unsigned n, uint32_t start);
unsigned bitfm8( uint8_t *in, unsigned n, uint8_t *pmin); // unsorted
unsigned bitfm16( uint16_t *in, unsigned n, uint16_t *pmin);
unsigned bitfm32( uint32_t *in, unsigned n, uint32_t *pmin);
unsigned bitfm64( uint64_t *in, unsigned n, uint64_t *pmin);
//------------- Zigzag encoding for unsorted integer lists: out[i] = in[i] - in[i-1] -------------
//-- get maximum zigzag bit length integer array
unsigned bitz8( uint8_t *in, unsigned n, uint8_t start);
unsigned bitz16( uint16_t *in, unsigned n, uint16_t start);
unsigned bitz32( uint32_t *in, unsigned n, uint32_t start);
unsigned bitz64( uint64_t *in, unsigned n, uint64_t start);
//-- Zigzag transform
unsigned bitzenc8( uint8_t *in, unsigned n, uint8_t *out, uint8_t start, uint8_t mindelta);
unsigned bitzenc16( uint16_t *in, unsigned n, uint16_t *out, uint16_t start, uint16_t mindelta);
unsigned bitzenc32( uint32_t *in, unsigned n, uint32_t *out, uint32_t start, uint32_t mindelta);
unsigned bitzenc64( uint64_t *in, unsigned n, uint64_t *out, uint64_t start, uint64_t mindelta);
//-- Zigzag reverse transform
void bitzdec8( uint8_t *p, unsigned n, uint8_t start);
void bitzdec16( uint16_t *p, unsigned n, uint16_t start);
void bitzdec32( uint32_t *p, unsigned n, uint32_t start);
void bitzdec64( uint64_t *p, unsigned n, uint64_t start);
//------------- XOR encoding for unsorted integer lists: out[i] = in[i] - in[i-1] -------------
//-- get maximum zigzag bit length integer array
unsigned bitx8( uint8_t *in, unsigned n, uint8_t start);
unsigned bitx16( uint16_t *in, unsigned n, uint16_t start);
unsigned bitx32( uint32_t *in, unsigned n, uint32_t start);
unsigned bitx64( uint64_t *in, unsigned n, uint64_t start);
//-- XOR transform
unsigned bitxenc8( uint8_t *in, unsigned n, uint8_t *out, uint8_t start);
unsigned bitxenc16( uint16_t *in, unsigned n, uint16_t *out, uint16_t start);
unsigned bitxenc32( uint32_t *in, unsigned n, uint32_t *out, uint32_t start);
unsigned bitxenc64( uint64_t *in, unsigned n, uint64_t *out, uint64_t start);
//-- XOR in-place reverse transform
void bitxdec8( uint8_t *p, unsigned n, uint8_t start);
void bitxdec16( uint16_t *p, unsigned n, uint16_t start);
void bitxdec32( uint32_t *p, unsigned n, uint32_t start);
void bitxdec64( uint64_t *p, unsigned n, uint64_t start);
#ifdef __cplusplus
}
#endif
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