/** Copyright (C) powturbo 2013-2017 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" utility - delta, for, zigzag #include "conf.h" #include "bitutil.h" //------------- max. bits for bit packing ------------- unsigned bit8( uint8_t *in, unsigned n) { uint8_t b; BITSIZE_( in, n, b, 8); return b; } unsigned bit16(uint16_t *in, unsigned n) { uint16_t b; BITSIZE_( in, n, b, 16); return b; } unsigned bit32(uint32_t *in, unsigned n) { uint32_t b; BITSIZE32(in, n, b); return b; } unsigned bit64(uint64_t *in, unsigned n) { uint64_t b; BITSIZE_( in, n, b, 64); return b; } //------------ Delta ---------------------------------- #define DE(i) x = _p[i]-start-_md; start = _p[i] #define BITDE(_t_, _p_, _n_, _md_, _act_) { _t_ *_p, _md = _md_;\ for(_p = _p_; _p != _p_+(_n_&~(4-1)); _p += 4) { DE(0);_act_; DE(1);_act_; DE(2);_act_; DE(3);_act_; }\ for(;_p != _p_+_n_;_p++) { DE(0); _act_; }\ } //---- Delta (min. Delta = 0) //-- max. bits for delta encoding unsigned bitd8( uint8_t *in, unsigned n, uint8_t start) { uint8_t b = 0,x; BITDE(uint8_t, in, n, 0, b |= x); return bsr8( b); } unsigned bitd16(uint16_t *in, unsigned n, uint16_t start) { uint16_t b = 0,x; BITDE(uint16_t, in, n, 0, b |= x); return bsr16(b); } unsigned bitd64(uint64_t *in, unsigned n, uint64_t start) { uint64_t b = 0,x; BITDE(uint64_t, in, n, 0, b |= x); return bsr64(b); } unsigned bitd32(uint32_t *in, unsigned n, uint32_t start) { #ifdef __SSE2__ unsigned *ip,b; __m128i bv = _mm_setzero_si128(), sv = _mm_set1_epi32(start); for(ip = in; ip != in+(n&~(4-1)); ip += 4) { __m128i iv = _mm_loadu_si128((__m128i *)ip); bv = _mm_or_si128(bv, DELTA128x32(iv,sv)); sv = iv; } start = (unsigned)_mm_cvtsi128_si32(_mm_srli_si128(sv,12)); HOR128x32(bv, b); while(ip != in+n) { unsigned x = *ip-start; start = *ip++; b |= x; } #else uint32_t b = 0,x; BITDE(uint32_t,in,n, 0, b |= x); #endif return bsr32(b); } //----- Undelta: In-place prefix sum (min. Delta = 0) ------------------- #define DD(i) _p[i] = (start += _p[i] + _md); #define BITDD(_t_, _p_, _n_, _md_) { _t_ *_p; const _md = _md_;\ for(_p = _p_; _p != _p_+(_n_&~(4-1)); _p += 4) { DD(0); DD(1); DD(2); DD(3); }\ for(;_p != _p_+_n_; _p++) DD(0);\ } void bitddec8( uint8_t *p, unsigned n, uint8_t start) { BITDD(uint8_t, p, n, 0); } void bitddec16(uint16_t *p, unsigned n, uint16_t start) { BITDD(uint16_t, p, n, 0); } void bitddec64(uint64_t *p, unsigned n, uint64_t start) { BITDD(uint64_t, p, n, 0); } void bitddec32(uint32_t *p, unsigned n, unsigned start) { #if defined(__AVX2__) && defined(USE_AVX2) __m256i sv = _mm256_set1_epi32(start),zv = _mm256_setzero_si256(); unsigned *ip; for(ip = p; ip != p+(n&~(8-1)); ip += 8) { __m256i v = _mm256_loadu_si256((__m256i *)ip); SCAN256x32(v, sv); _mm256_storeu_si256((__m256i *)ip, sv); } start = (unsigned)_mm256_extract_epi32(sv, 7); while(ip != p+n) { *ip = (start += (*ip)); ip++; } #elif defined(__SSE2__) __m128i sv = _mm_set1_epi32(start); unsigned *ip; for(ip = p; ip != p+(n&~(4-1)); ip += 4) { __m128i v = _mm_loadu_si128((__m128i *)ip); SCAN128x32(v, sv); _mm_storeu_si128((__m128i *)ip, sv); } start = (unsigned)_mm_cvtsi128_si32(_mm_srli_si128(sv,12)); while(ip != p+n) { *ip = (start += (*ip)); ip++; } #else BITDD(uint32_t, p, n, 0); #endif } //-----Undelta: In-place prefix sum (min. Delta = 1) ------------------- unsigned bitd18( uint8_t *in, unsigned n, uint8_t start) { uint8_t b = 0,x; BITDE(uint8_t, in, n, 1, b |= x); return bsr8(b); } unsigned bitd116(uint16_t *in, unsigned n, uint16_t start) { uint16_t b = 0,x; BITDE(uint16_t, in, n, 1, b |= x); return bsr16(b); } unsigned bitd164(uint64_t *in, unsigned n, uint64_t start) { uint64_t b = 0,x; BITDE(uint64_t, in, n, 1, b |= x); return bsr64(b); } unsigned bitd132(uint32_t *in, unsigned n, uint32_t start) { #ifdef __SSE2__ unsigned *ip,b; __m128i bv = _mm_setzero_si128(), sv = _mm_set1_epi32(start), cv = _mm_set1_epi32(1); for(ip = in; ip != in+(n&~(4-1)); ip += 4) { __m128i iv = _mm_loadu_si128((__m128i *)ip); bv = _mm_or_si128(bv, _mm_sub_epi32(DELTA128x32(iv,sv),cv)); sv = iv; } start = (unsigned)_mm_cvtsi128_si32(_mm_srli_si128(sv,12)); HOR128x32(bv, b); while(ip != in+n) { unsigned x = *ip-start-1; start = *ip++; b |= x; } #else uint32_t b = 0,x; BITDE(uint32_t, in, n, 1, b |= x); #endif return bsr32(b); } void bitd1dec8( uint8_t *p, unsigned n, uint8_t start) { BITDD(uint8_t, p, n, 1); } void bitd1dec16(uint16_t *p, unsigned n, uint16_t start) { BITDD(uint16_t, p, n, 1); } void bitd1dec64(uint64_t *p, unsigned n, uint64_t start) { BITDD(uint64_t, p, n, 1); } void bitd1dec32(uint32_t *p, unsigned n, uint32_t start) { #if defined(__AVX2__) && defined(USE_AVX2) __m256i sv = _mm256_set1_epi32(start),zv = _mm256_setzero_si256(), cv = _mm256_set_epi32(8,7,6,5,4,3,2,1); unsigned *ip; for(ip = p; ip != p+(n&~(8-1)); ip += 8) { __m256i v = _mm256_loadu_si256((__m256i *)ip); SCANI256x32(v, sv, cv); _mm256_storeu_si256((__m256i *)ip, sv); } start = (unsigned)_mm256_extract_epi32(sv, 7); while(ip != p+n) { *ip = (start += (*ip) + 1); ip++; } #elif defined(__SSE2__) __m128i sv = _mm_set1_epi32(start), cv = _mm_set_epi32(4,3,2,1); unsigned *ip; for(ip = p; ip != p+(n&~(4-1)); ip += 4) { __m128i v = _mm_loadu_si128((__m128i *)ip); SCANI128x32(v, sv, cv); _mm_storeu_si128((__m128i *)ip, sv); } start = (unsigned)_mm_cvtsi128_si32(_mm_srli_si128(sv,12)); while(ip != p+n) { *ip = (start += (*ip) + 1); ip++; } #else BITDD(uint32_t, p, n, 1); #endif } //---------Delta encoding/decoding (min. Delta = mindelta) ------------------- //determine min. delta for encoding w/ bitdiencNN function #define DI(i) x = _p[0] - start; start = _p[0]; if(x < mindelta) mindelta = x #define BITDIE(_p_, _n_) {\ for(_p = _p_,mindelta = _p[0]; _p != _p_+(_n_&~(4-1)); _p+=4) { DI(0); DI(1); DI(2); DI(3); }\ for(;_p != _p_+_n_;_p++) DI(0);\ } uint8_t bitdi8( uint8_t *in, unsigned n, uint8_t start) { uint8_t mindelta,x,*_p; BITDIE(in, n); return mindelta; } uint16_t bitdi16(uint16_t *in, unsigned n, uint16_t start) { uint16_t mindelta,x,*_p; BITDIE(in, n); return mindelta; } uint32_t bitdi32(uint32_t *in, unsigned n, uint32_t start) { uint32_t mindelta,x,*_p; BITDIE(in, n); return mindelta; } uint64_t bitdi64(uint64_t *in, unsigned n, uint64_t start) { uint64_t mindelta,x,*_p; BITDIE(in, n); return mindelta; } unsigned bitdienc8( uint8_t *in, unsigned n, uint8_t *out, uint8_t start, uint8_t mindelta) { uint8_t b = 0,*op = out,x; BITDE(uint8_t, in, n, mindelta, b |= x;*op++ = x); return bsr8(b);} unsigned bitdienc16(uint16_t *in, unsigned n, uint16_t *out, uint16_t start, uint16_t mindelta) { uint16_t b = 0,*op = out,x; BITDE(uint16_t, in, n, mindelta, b |= x;*op++ = x); return bsr16(b);} unsigned bitdienc64(uint64_t *in, unsigned n, uint64_t *out, uint64_t start, uint64_t mindelta) { uint64_t b = 0,*op = out,x; BITDE(uint64_t, in, n, mindelta, b |= x;*op++ = x); return bsr64(b);} unsigned bitdienc32(uint32_t *in, unsigned n, uint32_t *out, uint32_t start, uint32_t mindelta) { #ifdef __SSE2__ unsigned *ip,b,*op = out; __m128i bv = _mm_setzero_si128(), sv = _mm_set1_epi32(start), cv = _mm_set1_epi32(mindelta), dv; for(ip = in; ip != in+(n&~(4-1)); ip += 4,op += 4) { __m128i iv = _mm_loadu_si128((__m128i *)ip); bv = _mm_or_si128(bv, dv = _mm_sub_epi32(DELTA128x32(iv,sv),cv)); sv = iv; _mm_storeu_si128((__m128i *)op, dv); } start = (unsigned)_mm_cvtsi128_si32(_mm_srli_si128(sv,12)); HOR128x32(bv, b); while(ip != in+n) { unsigned x = *ip-start-mindelta; start = *ip++; b |= x; *op++ = x; } #else uint32_t b = 0,*op = out, x, *_p; BITDE(uint32_t, in, n, mindelta, b |= x; *op++ = x); #endif return bsr32(b); } void bitdidec8( uint8_t *p, unsigned n, uint8_t start, uint8_t mindelta) { BITDD(uint8_t, p, n, mindelta); } void bitdidec16( uint16_t *p, unsigned n, uint16_t start, uint16_t mindelta) { BITDD(uint16_t, p, n, mindelta); } void bitdidec32( uint32_t *p, unsigned n, uint32_t start, uint32_t mindelta) { BITDD(uint32_t, p, n, mindelta); } void bitdidec64( uint64_t *p, unsigned n, uint64_t start, uint64_t mindelta) { BITDD(uint64_t, p, n, mindelta); } //------------------- For ------------------------------ unsigned bitf32( uint32_t *in, unsigned n, uint32_t start) { return n?bsr32(in[n-1] - start ):0; } unsigned bitf132( uint32_t *in, unsigned n, uint32_t start) { return n?bsr32(in[n-1] - start - n):0; } //------------------- Zigzag --------------------------- #define ZE(i) x = (int)_p[i]-(int)start; x = (x << 1) ^ (x >> (sizeof(x)*8-1)); start = _p[i] #define BITZENC(_t_, _p_,_n_, _act_) { _t_ *_p;\ for(_p = _p_; _p != _p_+(_n_&~(4-1)); _p += 4) { ZE(0);_act_; ZE(1);_act_; ZE(2);_act_; ZE(3);_act_; }\ for(;_p != _p_+_n_; _p++) { ZE(0); _act_;}\ } // max. bits for zigzag encoding unsigned bitz8( uint8_t *in, unsigned n, uint8_t start) { uint8_t b = 0, x; BITZENC(uint8_t, in, n, b |= x); return bsr8( b); } unsigned bitz16(uint16_t *in, unsigned n, uint16_t start) { uint16_t b = 0, x; BITZENC(uint16_t, in, n, b |= x); return bsr16(b); } unsigned bitz64(uint64_t *in, unsigned n, uint64_t start) { uint64_t b = 0, x; BITZENC(uint64_t, in, n, b |= x); return bsr64(b); } unsigned bitz32(unsigned *in, unsigned n, unsigned start) { #ifdef __SSE2__ unsigned *ip,b; __m128i bv = _mm_setzero_si128(), sv = _mm_set1_epi32(start), dv; for(ip = in; ip != in+(n&~(4-1)); ip += 4) { __m128i iv = _mm_loadu_si128((__m128i *)ip); dv = DELTA128x32(iv,sv); sv = iv; dv = ZIGZAG128x32(dv); bv = _mm_or_si128(bv, dv); } start = (unsigned)_mm_cvtsi128_si32(_mm_srli_si128(sv,12)); HOR128x32(bv, b); while(ip != in+n) { int x = ((int)(*ip)-(int)start); x = (x << 1) ^ (x >> 31); start = *ip++; b |= x; } #else uint32_t b = 0, x; BITZENC(uint32_t, in, n, start, b |= x); #endif return bsr32(b); } unsigned bitzenc8( uint8_t *in, unsigned n, uint8_t *out, uint8_t start, uint8_t mindelta) { uint8_t b = 0,*op = out,x; BITZENC(uint8_t, in, n, b |= x; *op++ = x); return bsr8(b); } unsigned bitzenc16(uint16_t *in, unsigned n, uint16_t *out, uint16_t start, uint16_t mindelta) { uint16_t b = 0,*op = out,x; BITZENC(uint16_t, in, n, b |= x; *op++ = x); return bsr16(b); } unsigned bitzenc64(uint64_t *in, unsigned n, uint64_t *out, uint64_t start, uint64_t mindelta) { uint64_t b = 0,*op = out,x; BITZENC(uint64_t, in, n, b |= x; *op++ = x); return bsr32(b); } unsigned bitzenc32(unsigned *in, unsigned n, unsigned *out, unsigned start, uint32_t mindelta) { #ifdef __SSE2__ unsigned *ip,b,*op = out; __m128i bv = _mm_setzero_si128(), sv = _mm_set1_epi32(start), dv; for(ip = in; ip != in+(n&~(4-1)); ip += 4,op += 4) { __m128i iv = _mm_loadu_si128((__m128i *)ip); dv = DELTA128x32(iv,sv); sv = iv; dv = ZIGZAG128x32(dv); bv = _mm_or_si128(bv, dv); _mm_storeu_si128((__m128i *)op, dv); } start = (unsigned)_mm_cvtsi128_si32(_mm_srli_si128(sv,12)); HOR128x32(bv, b); while(ip != in+n) { int x = ((int)(*ip)-(int)start); x = (x << 1) ^ (x >> 31); start = *ip++; b |= x; *op++ = x; } #else uint32_t b = 0, *op = out,x; BITZENC(uint32_t, in, n, b |= x; *op++ = x); #endif return bsr32(b); } #define ZD(i) _z = _p[i]; _p[i] = (start += (_z >> 1 ^ -(_z & 1))) #define BITZDEC(_t_, _p_, _n_) { _t_ *_p,_z;\ for(_p = _p_; _p != _p_+(_n_&~(4-1)); _p += 4) { ZD(0); ZD(1); ZD(2); ZD(3); }\ for(;_p != _p_+_n_;_p++) ZD(0);\ } void bitzdec8( uint8_t *p, unsigned n, uint8_t start) { BITZDEC(uint8_t, p, n); } void bitzdec16(uint16_t *p, unsigned n, uint16_t start) { BITZDEC(uint16_t, p, n); } void bitzdec64(uint64_t *p, unsigned n, uint64_t start) { BITZDEC(uint64_t, p, n); } void bitzdec32(unsigned *p, unsigned n, unsigned start) { #if defined(__AVX2__) && defined(USE_AVX2) __m256i sv = _mm256_set1_epi32(start), zv = _mm256_setzero_si256(); //, c1 = _mm_set1_epi32(1), cz = _mm_setzero_si128(); unsigned *ip; for(ip = p; ip != p+(n&~(8-1)); ip += 8) { __m256i iv = _mm256_loadu_si256((__m256i *)ip); iv = UNZIGZAG256x32(iv); SCAN256x32(iv, sv); _mm256_storeu_si256((__m256i *)ip, sv); } start = (unsigned)_mm256_extract_epi32(_mm256_srli_si256(sv,12), 0); while(ip != p+n) { unsigned z = *ip; *ip++ = (start += (z >> 1 ^ -(z & 1))); } #elif defined(__SSE2__) __m128i sv = _mm_set1_epi32(start); //, c1 = _mm_set1_epi32(1), cz = _mm_setzero_si128(); unsigned *ip; for(ip = p; ip != p+(n&~(4-1)); ip += 4) { __m128i iv = _mm_loadu_si128((__m128i *)ip); iv = UNZIGZAG128x32(iv); SCAN128x32(iv, sv); _mm_storeu_si128((__m128i *)ip, sv); } start = (unsigned)_mm_cvtsi128_si32(_mm_srli_si128(sv,12)); while(ip != p+n) { unsigned z = *ip; *ip++ = (start += (z >> 1 ^ -(z & 1))); } #else BITZDEC(uint32_t, p, n); #endif } //----------------------- XOR --------------------------------- #define XE(i) x = _p[i] ^ start; start = _p[i] #define BITXENC(_t_, _p_, _n_, _act_) { _t_ *_p;\ for(_p = _p_; _p != _p_+(_n_&~(4-1)); _p += 4) { XE(0);_act_; XE(1);_act_; XE(2);_act_; XE(3);_act_; }\ for( ; _p != _p_+ _n_; _p++ ) { XE(0);_act_; }\ } unsigned bitxenc8( uint8_t *in, unsigned n, uint8_t *out, uint8_t start) { uint8_t b = 0,*op = out,x; BITXENC(uint8_t, in, n, b |= x; *op++ = x); return bsr8(b); } unsigned bitxenc16(uint16_t *in, unsigned n, uint16_t *out, uint16_t start) { uint16_t b = 0,*op = out,x; BITXENC(uint16_t, in, n, b |= x; *op++ = x); return bsr16(b); } unsigned bitxenc32(uint32_t *in, unsigned n, uint32_t *out, uint32_t start) { uint32_t b = 0,*op = out,x; BITXENC(uint32_t, in, n, b |= x; *op++ = x); return bsr32(b); } unsigned bitxenc64(uint64_t *in, unsigned n, uint64_t *out, uint64_t start) { uint64_t b = 0,*op = out,x; BITXENC(uint64_t, in, n, b |= x; *op++ = x); return bsr64(b); } #define XD(i) _p[i] = (start ^= _p[i]) #define BITXDEC(_t_, _p_, _n_) { _t_ *_p, _x;\ for(_p = _p_;_p != _p_+(_n_&~(4-1)); _p += 4) { XD(0); XD(1); XD(2); XD(3); }\ for( ;_p != _p_+ _n_ ; _p++ ) XD(0);\ } void bitxdec8( uint8_t *p, unsigned n, uint8_t start) { BITXDEC(uint8_t, p, n); } void bitxdec16(uint16_t *p, unsigned n, uint16_t start) { BITXDEC(uint16_t, p, n); } void bitxdec32(uint32_t *p, unsigned n, uint32_t start) { BITXDEC(uint32_t, p, n); } void bitxdec64(uint64_t *p, unsigned n, uint64_t start) { BITXDEC(uint64_t, p, n); } //-------------- For : calc max. bits, min,max value ------------------------ #define FM(i) mi = _p[i] < mi?_p[i]:mi; mx = _p[i] > mx?_p[i]:mx #define BITFM(_t_, _p_,_n_) { _t_ *_p; \ for(_p = _p_, mi = mx = *_p; _p != _p_+(_n_&~(4-1)); _p += 4) { FM(0); FM(1); FM(2); FM(3); }\ for(;_p != _p_+_n_; _p++) FM(0);\ } unsigned bitfm8( uint8_t *in, unsigned n, uint8_t *pmin) { uint8_t mi,mx; BITFM(uint8_t, in, n); *pmin = mi; return bsr8( mx - mi); } unsigned bitfm16(uint16_t *in, unsigned n, uint16_t *pmin) { uint16_t mi,mx; BITFM(uint16_t, in, n); *pmin = mi; return bsr16(mx - mi); } unsigned bitfm32(uint32_t *in, unsigned n, uint32_t *pmin) { uint32_t mi,mx; BITFM(uint32_t, in, n); *pmin = mi; return bsr32(mx - mi); } unsigned bitfm64(uint64_t *in, unsigned n, uint64_t *pmin) { uint64_t mi,mx; BITFM(uint64_t, in, n); *pmin = mi; return bsr64(mx - mi); }