274 lines
14 KiB
C
274 lines
14 KiB
C
/**
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Copyright (C) powturbo 2013-2017
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GPL v2 License
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This program is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License along
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with this program; if not, write to the Free Software Foundation, Inc.,
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51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
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- homepage : https://sites.google.com/site/powturbo/
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- github : https://github.com/powturbo
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- twitter : https://twitter.com/powturbo
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- email : powturbo [_AT_] gmail [_DOT_] com
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**/
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// "Integer Compression"
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#include <stdint.h>
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#define BITFORSET_(_out_, _n_, _start_, _inc_) do { unsigned _i;\
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for(_i = 0; _i != (_n_&~3); _i+=4) {\
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_out_[_i+0] = _start_+(_i )*_inc_;\
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_out_[_i+1] = _start_+(_i+1)*_inc_;\
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_out_[_i+2] = _start_+(_i+2)*_inc_;\
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_out_[_i+3] = _start_+(_i+3)*_inc_;\
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}\
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while(_i != _n_)\
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_out_[_i] = _start_+_i*_inc_, ++_i;\
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} while(0)
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#define BITSIZE_(_in_, _n_, _b_, _usize_) { typeof(_in_[0]) *_ip;\
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for(_b_=0,_ip = _in_; _ip != _in_+(_n_&~(4-1)); _ip+=4)\
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_b_ |= _ip[0] | _ip[1] | _ip[2] | _ip[3];\
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while(_ip != _in_+_n_) \
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_b_ |= *_ip++;\
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_b_ = TEMPLATE2(bsr, _usize_)(_b_);\
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}
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#define BITSIZE8( _in_, _n_, _b_) BITSIZE_(_in_, _n_, _b_, 8)
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#define BITSIZE16(_in_, _n_, _b_) BITSIZE_(_in_, _n_, _b_, 16)
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#define BITSIZE64(_in_, _n_, _b_) BITSIZE_(_in_, _n_, _b_, 64)
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static inline unsigned char zigzagenc8( char x) { return x << 1 ^ x >> 7; }
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static inline unsigned char zigzagdec8( unsigned short x) { return x >> 1 ^ -(x & 1); }
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static inline unsigned short zigzagenc16(short x) { return x << 1 ^ x >> 15; }
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static inline unsigned short zigzagdec16(unsigned short x) { return x >> 1 ^ -(x & 1); }
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static inline unsigned zigzagenc31(int x) { x = (x << 2 | ((x>>30)& 2)) ^ x >> 31; return x; } // for signed x
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static inline unsigned zigzagdec31(unsigned x) { return (x >> 2 | (x& 2)<<30 ) ^ -(x & 1); }
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static inline unsigned zigzagenc32(int x) { return x << 1 ^ x >> 31; }
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static inline unsigned zigzagdec32(unsigned x) { return x >> 1 ^ -(x & 1); }
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static inline uint64_t zigzagenc64(int64_t x) { return x << 1 ^ x >> 63; }
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static inline uint64_t zigzagdec64(uint64_t x) { return x >> 1 ^ -(x & 1); }
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#ifdef __AVX2__
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#include <immintrin.h>
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#include <stdio.h>
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//#define DELTA256x32(_v_, _sv_,_iv_) ?
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#define SCAN256x32( _v_, _sv_) {\
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_v_ = _mm256_add_epi32(_v_, _mm256_slli_si256(_v_, 4));\
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_v_ = _mm256_add_epi32(_v_, _mm256_slli_si256(_v_, 8));\
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_sv_ = _mm256_add_epi32( _mm256_permute2x128_si256( _mm256_shuffle_epi32(_sv_,_MM_SHUFFLE(3, 3, 3, 3)), _sv_, 0x11), \
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_mm256_add_epi32(_v_, _mm256_permute2x128_si256(zv,_mm256_shuffle_epi32(_v_, _MM_SHUFFLE(3, 3, 3, 3)), 0x20)));\
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}
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#define SCANI256x32(_v_, _sv_, _vi_) SCAN256x32(_v_, _sv_); _sv_ = _mm256_add_epi32(_sv_, _vi_)
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#define ZIGZAG256x32(_v_) _mm256_xor_si256(_mm256_slli_epi32(_v_,1), _mm256_srai_epi32(_v_,31))
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#define UNZIGZAG256x32(_v_) _mm256_xor_si256(_mm256_srli_epi32(_v_,1), _mm256_srai_epi32(_mm256_slli_epi32(_v_,31),31) )
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#define HOR256x32(_v_,_b_) _v_ = _mm256_or_si256(_v_, _mm256_srli_si256(_v_, 8)); _v_ = _mm256_or_s256(_v_, _mm256_srli_si256(_v_, 4));\
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_b_ = _mm256_extract_epi32(_v_,0) | _mm256_extract_epi32(_v_, 4)
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#endif
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#ifdef __SSE2__
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#include <emmintrin.h>
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#define DELTA128x32(_v_, _sv_) _mm_sub_epi32(_v_, _mm_or_si128(_mm_srli_si128(_sv_, 12), _mm_slli_si128(_v_, 4)))
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// SIMD Scan ( prefix sum )
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#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_) )
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#define SCANI128x32(_v_, _sv_, _vi_) SCAN128x32(_v_, _sv_); _sv_ = _mm_add_epi32(_sv_, _vi_)
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#define ZIGZAG128x32(_v_) _mm_xor_si128(_mm_slli_epi32(_v_,1), _mm_srai_epi32(_v_,31))
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#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))
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// SIMD Horizontal OR
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#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_)
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#endif
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#if 0 //def __AVX2__
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#define BITSIZE32(_in_, _n_, _b_) { typeof(_in_[0]) *_ip; __m256i _v = _mm256_setzero_si256();\
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for(_ip = _in_; _ip != _in_+(_n_&~(8-1)); _ip+=8)\
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_v = _mm256_or_si256(_v, _mm256_loadu_si256((__m256i*)_ip));\
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HOR256x32(_v,_b_);\
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while(_ip != _in_+_n_)\
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_b_ |= *_ip++;\
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_b_ = bsr32(_b_);\
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}
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#define BITZERO32(_out_, _n_, _start_) do {\
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__m256i _sv_ = _mm256_set1_epi32(_start_), *_ov = (__m256i *)(_out_), *_ove = (__m256i *)(_out_ + _n_);\
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do _mm256_storeu_si256(_ov++, _sv_); while(_ov < _ove);\
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} while(0)
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#define BITFORZERO32(_out_, _n_, _start_, _inc_) do {\
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__m256i _sv = _mm256_set1_epi32(_start_), *_ov=(__m256i *)(_out_), *_ove = (__m256i *)(_out_ + _n_), _cv = _mm256_set_epi32(7+_inc_,6+_inc_,5+_inc_,4+_inc_,3*_inc_,2*_inc_,1*_inc_,0); \
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_sv = _mm256_add_epi32(_sv, _cv);\
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_cv = _mm256_set1_epi32(4);\
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do { _mm256_storeu_si256(_ov++, _sv); _sv = _mm256_add_epi32(_sv, _cv); } while(_ov < _ove);\
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} while(0)
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#define BITDIZERO32(_out_, _n_, _start_, _inc_) do { __m256i _sv = _mm256_set1_epi32(_start_), _cv = _mm256_set_epi32(7+_inc_,6+_inc_,5+_inc_,4+_inc_,3+_inc_,2+_inc_,1+_inc_,_inc_), *_ov=(__m256i *)(_out_), *_ove = (__m256i *)(_out_ + _n_);\
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_sv = _mm256_add_epi32(_sv, _cv); _cv = _mm256_set1_epi32(4*_inc_); do { _mm256_storeu_si256(_ov++, _sv), _sv = _mm256_add_epi32(_sv, _cv); } while(_ov < _ove);\
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} while(0)
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#elif defined(__SSE2__)
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#define BITSIZE32(_in_, _n_, _b_) { typeof(_in_[0]) *_ip; __m128i _v = _mm_setzero_si128();\
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for(_ip = _in_; _ip != _in_+(_n_&~(4-1)); _ip+=4)\
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_v = _mm_or_si128(_v, _mm_loadu_si128((__m128i*)_ip));\
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HOR128x32(_v,_b_);\
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while(_ip != _in_+_n_)\
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_b_ |= *_ip++;\
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_b_ = bsr32(_b_);\
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}
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// SIMD set value
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#define BITZERO32(_out_, _n_, _start_) do {\
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__m128i _sv_ = _mm_set1_epi32(_start_), *_ov = (__m128i *)(_out_), *_ove = (__m128i *)(_out_ + _n_);\
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do _mm_storeu_si128(_ov++, _sv_); while(_ov < _ove); \
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} while(0)
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#define BITFORZERO32(_out_, _n_, _start_, _inc_) do {\
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__m128i _sv = _mm_set1_epi32(_start_), *_ov=(__m128i *)(_out_), *_ove = (__m128i *)(_out_ + _n_), _cv = _mm_set_epi32(3*_inc_,2*_inc_,1*_inc_,0); \
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_sv = _mm_add_epi32(_sv, _cv);\
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_cv = _mm_set1_epi32(4);\
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do { _mm_storeu_si128(_ov++, _sv); _sv = _mm_add_epi32(_sv, _cv); } while(_ov < _ove);\
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} while(0)
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#define BITDIZERO32(_out_, _n_, _start_, _inc_) do { __m128i _sv = _mm_set1_epi32(_start_), _cv = _mm_set_epi32(3+_inc_,2+_inc_,1+_inc_,_inc_), *_ov=(__m128i *)(_out_), *_ove = (__m128i *)(_out_ + _n_);\
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_sv = _mm_add_epi32(_sv, _cv); _cv = _mm_set1_epi32(4*_inc_); do { _mm_storeu_si128(_ov++, _sv), _sv = _mm_add_epi32(_sv, _cv); } while(_ov < _ove);\
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} while(0)
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#else
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#define BITSIZE32( _in_, _n_, _b_) BITSIZE_(_in_, _n_, _b_, 32)
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#define BITFORZERO32(_out_, _n_, _start_, _inc_) BITFORSET_(_out_, _n_, _start_, _inc_)
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#define BITZERO32( _out_, _n_, _start_) BITFORSET_(_out_, _n_, _start_, 0)
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#endif
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#define DELTR( _in_, _n_, _start_, _inc_, _out_) { unsigned _v; for( _v = 0; _v < _n_; _v++) _out_[_v] = _in_[_v] - (_start_) - _v*(_inc_) - (_inc_); }
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#define DELTRB(_in_, _n_, _start_, _inc_, _b_, _out_) { unsigned _v; for(_b_=0,_v = 0; _v < _n_; _v++) _out_[_v] = _in_[_v] - (_start_) - _v*(_inc_) - (_inc_), _b_ |= _out_[_v]; _b_ = bsr32(_b_); }
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#ifdef __cplusplus
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extern "C" {
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#endif
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//------------- get maximum bit length of the elements in the integer array -----------------------
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unsigned bit8( uint8_t *in, unsigned n);
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unsigned bit16( uint16_t *in, unsigned n);
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unsigned bit32( uint32_t *in, unsigned n);
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unsigned bit64( uint64_t *in, unsigned n);
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//------------- Delta for sorted integer array ----------------------------------------------------
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//-- get delta maximum bit length of the non decreasing integer array. out[i] = in[i] - in[i-1]
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unsigned bitd8( uint8_t *in, unsigned n, uint8_t start);
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unsigned bitd16( uint16_t *in, unsigned n, uint16_t start);
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unsigned bitd32( uint32_t *in, unsigned n, uint32_t start);
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unsigned bitd64( uint64_t *in, unsigned n, uint64_t start);
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//-- get delta maximum bit length of the non strictly decreasing integer array. out[i] = in[i] - in[i-1] - 1
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unsigned bitd18( uint8_t *in, unsigned n, uint8_t start);
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unsigned bitd116( uint16_t *in, unsigned n, uint16_t start);
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unsigned bitd132( uint32_t *in, unsigned n, uint32_t start);
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unsigned bitd164( uint64_t *in, unsigned n, uint64_t start);
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//-- transform sorted integer array to delta array. inc = increment: out[i] = in[i] - in[i-1] - inc
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unsigned bitdenc8( uint8_t *in, unsigned n, uint8_t *out, uint8_t start, unsigned inc);
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unsigned bitdenc16(uint16_t *in, unsigned n, uint16_t *out, uint16_t start, unsigned inc);
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unsigned bitdenc32(uint32_t *in, unsigned n, uint32_t *out, uint32_t start, unsigned inc);
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unsigned bitdenc64(uint64_t *in, unsigned n, uint64_t *out, uint64_t start, unsigned inc);
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//-- in-place reverse delta transform
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void bitddec8( uint8_t *p, unsigned n, uint8_t start); // non decreasing
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void bitddec16( uint16_t *p, unsigned n, uint16_t start);
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void bitddec32( uint32_t *p, unsigned n, uint32_t start);
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void bitddec64( uint64_t *p, unsigned n, uint64_t start);
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void bitd1dec8( uint8_t *p, unsigned n, uint8_t start); // non strictly decreasing
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void bitd1dec16( uint16_t *p, unsigned n, uint16_t start);
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void bitd1dec32( uint32_t *p, unsigned n, uint32_t start);
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void bitd1dec64( uint64_t *p, unsigned n, uint64_t start);
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void bitddecn8( uint8_t *p, unsigned n, uint8_t start, uint8_t inc); // increment
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void bitddecn16( uint16_t *p, unsigned n, uint16_t start, uint16_t inc);
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void bitddecn32( uint32_t *p, unsigned n, uint32_t start, uint32_t inc);
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void bitddecn64( uint64_t *p, unsigned n, uint64_t start, uint64_t inc);
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uint8_t bitdi8( uint8_t *in, unsigned n, uint8_t start);
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uint16_t bitdi16(uint16_t *in, unsigned n, uint16_t start);
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uint32_t bitdi32(uint32_t *in, unsigned n, uint32_t start);
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uint64_t bitdi64(uint64_t *in, unsigned n, uint64_t start);
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unsigned bitdienc8( uint8_t *in, unsigned n, uint8_t *out, uint8_t start, unsigned inc);
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unsigned bitdienc16(uint16_t *in, unsigned n, uint16_t *out, uint16_t start, unsigned inc);
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unsigned bitdienc32(uint32_t *in, unsigned n, uint32_t *out, uint32_t start, unsigned inc);
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unsigned bitdienc64(uint64_t *in, unsigned n, uint64_t *out, uint64_t start, unsigned inc);
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void bitdidec8( uint8_t *p, unsigned n, uint8_t start, uint8_t inc);
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void bitdidec16( uint16_t *p, unsigned n, uint16_t start, uint16_t inc);
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void bitdidec32( uint32_t *p, unsigned n, uint32_t start, uint32_t inc);
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void bitdidec64( uint64_t *p, unsigned n, uint64_t start, uint64_t inc);
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//------------- FOR array bit length: out[i] = in[i] - start -------------------------------------
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unsigned bitf32( uint32_t *in, unsigned n, uint32_t start); // sorted
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unsigned bitf132( uint32_t *in, unsigned n, uint32_t start);
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unsigned bitfm8( uint8_t *in, unsigned n, uint8_t *pmin); // unsorted
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unsigned bitfm16( uint16_t *in, unsigned n, uint16_t *pmin);
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unsigned bitfm32( uint32_t *in, unsigned n, uint32_t *pmin);
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unsigned bitfm64( uint64_t *in, unsigned n, uint64_t *pmin);
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//------------- Zigzag encoding for unsorted integer lists: out[i] = in[i] - in[i-1] -------------
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//-- get maximum zigzag bit length integer array
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unsigned bitz8( uint8_t *in, unsigned n, uint8_t start);
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unsigned bitz16( uint16_t *in, unsigned n, uint16_t start);
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unsigned bitz32( uint32_t *in, unsigned n, uint32_t start);
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unsigned bitz64( uint64_t *in, unsigned n, uint64_t start);
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//-- Zigzag transform
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unsigned bitzenc8( uint8_t *in, unsigned n, uint8_t *out, uint8_t start, uint8_t inc);
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unsigned bitzenc16(uint16_t *in, unsigned n, uint16_t *out, uint16_t start, uint16_t inc);
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unsigned bitzenc32(uint32_t *in, unsigned n, uint32_t *out, uint32_t start, uint32_t inc);
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unsigned bitzenc64(uint64_t *in, unsigned n, uint64_t *out, uint64_t start, uint64_t inc);
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//-- Zigzag reverse transform
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void bitzdec8( uint8_t *p, unsigned n, uint8_t start);
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void bitzdec16( uint16_t *p, unsigned n, uint16_t start);
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void bitzdec32( uint32_t *p, unsigned n, uint32_t start);
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void bitzdec64( uint64_t *p, unsigned n, uint64_t start);
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//---- Floating point to Integer de-/composition ---------------------------------
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#define FMANT_BITS 16
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#define DMANT_BITS 32
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#define DZMANT_BITS 36
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#define FLTEXPO(_u_,_mantbits_, _one_) ( ((_u_) >> _mantbits_) & ( (_one_<<(sizeof(_u_)*8 - _mantbits_)) - 1 ) )
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#define FLTMANT(_u_,_mantbits_, _one_) ((_u_) & ((_one_<<_mantbits_)-1))
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#define BITUNFLOAT(_expo_, _mant_, _u_, _mantbits_) _u_ = ((_expo_) << _mantbits_) | (_mant_)//>>1 | (_mant_)<<(sizeof(_u_)*8 - 1)
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/*#define BITFLOAT(_u_, _sgn_, _expo_, _mant_, _mantbits_, _one_) _sgn_ = _u_ >> (sizeof(_u_)*8-1); _expo_ = EXPO(_u_,_mantbits_; _mant_ = _u_ & ((_one_<<_mantbits_)-1)
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#define BITUNFLOAT( _sgn_, _expo_, _mant_, _u_, _mantbits_) _u_ = (_sgn_) << (sizeof(_u_)*8-1) | (_expo_) << _mantbits_ | (_mant_) */
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// De-/Compose floating point array to/from integer arrays (sign,exponent,mantissa) for using with "Integer Compression" functions ------------
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void bitdouble( double *in, unsigned n, int *expo, uint64_t *mant);
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void bitddecouble( int *expo, uint64_t *mant, unsigned n, double *out);
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void bitzdouble( double *in, unsigned n, int *expo, uint64_t *mant);
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void bitzundouble( int *expo, uint64_t *mant, unsigned n, double *out);
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void bitfloat( float *in, unsigned n, int *expo, unsigned *mant);
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void bitunfloat( int *expo, unsigned *mant, unsigned n, float *out);
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#ifdef __cplusplus
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}
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#endif
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