167 lines
3.9 KiB
C
167 lines
3.9 KiB
C
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/*
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* arbitrary precision integers
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* Copyright (c) 2004 Michael Niedermayer <michaelni@gmx.at>
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*
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* This file is part of FFmpeg.
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*
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* FFmpeg is free software; you can redistribute it and/or
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* modify it under the terms of the GNU Lesser General Public
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* License as published by the Free Software Foundation; either
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* version 2.1 of the License, or (at your option) any later version.
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*
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* FFmpeg 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 GNU
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* Lesser General Public License for more details.
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*
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* You should have received a copy of the GNU Lesser General Public
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* License along with FFmpeg; if not, write to the Free Software
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* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
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*/
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/**
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* @file
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* arbitrary precision integers
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* @author Michael Niedermayer <michaelni@gmx.at>
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*/
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#include "common.h"
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#include "integer.h"
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#include "avassert.h"
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static const AVInteger zero_i;
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AVInteger av_add_i(AVInteger a, AVInteger b){
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int i, carry=0;
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for(i=0; i<AV_INTEGER_SIZE; i++){
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carry= (carry>>16) + a.v[i] + b.v[i];
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a.v[i]= carry;
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}
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return a;
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}
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AVInteger av_sub_i(AVInteger a, AVInteger b){
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int i, carry=0;
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for(i=0; i<AV_INTEGER_SIZE; i++){
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carry= (carry>>16) + a.v[i] - b.v[i];
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a.v[i]= carry;
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}
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return a;
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}
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int av_log2_i(AVInteger a){
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int i;
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for(i=AV_INTEGER_SIZE-1; i>=0; i--){
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if(a.v[i])
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return av_log2_16bit(a.v[i]) + 16*i;
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}
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return -1;
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}
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AVInteger av_mul_i(AVInteger a, AVInteger b){
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AVInteger out;
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int i, j;
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int na= (av_log2_i(a)+16) >> 4;
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int nb= (av_log2_i(b)+16) >> 4;
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memset(&out, 0, sizeof(out));
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for(i=0; i<na; i++){
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unsigned int carry=0;
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if(a.v[i])
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for(j=i; j<AV_INTEGER_SIZE && j-i<=nb; j++){
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carry= (carry>>16) + out.v[j] + a.v[i]*(unsigned)b.v[j-i];
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out.v[j]= carry;
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}
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}
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return out;
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}
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int av_cmp_i(AVInteger a, AVInteger b){
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int i;
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int v= (int16_t)a.v[AV_INTEGER_SIZE-1] - (int16_t)b.v[AV_INTEGER_SIZE-1];
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if(v) return (v>>16)|1;
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for(i=AV_INTEGER_SIZE-2; i>=0; i--){
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int v= a.v[i] - b.v[i];
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if(v) return (v>>16)|1;
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}
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return 0;
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}
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AVInteger av_shr_i(AVInteger a, int s){
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AVInteger out;
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int i;
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for(i=0; i<AV_INTEGER_SIZE; i++){
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unsigned int index= i + (s>>4);
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unsigned int v=0;
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if(index+1<AV_INTEGER_SIZE) v = a.v[index+1]<<16;
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if(index <AV_INTEGER_SIZE) v+= a.v[index ];
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out.v[i]= v >> (s&15);
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}
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return out;
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}
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AVInteger av_mod_i(AVInteger *quot, AVInteger a, AVInteger b){
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int i= av_log2_i(a) - av_log2_i(b);
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AVInteger quot_temp;
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if(!quot) quot = "_temp;
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if ((int16_t)a.v[AV_INTEGER_SIZE-1] < 0) {
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a = av_mod_i(quot, av_sub_i(zero_i, a), b);
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*quot = av_sub_i(zero_i, *quot);
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return av_sub_i(zero_i, a);
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}
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av_assert2((int16_t)a.v[AV_INTEGER_SIZE-1] >= 0 && (int16_t)b.v[AV_INTEGER_SIZE-1] >= 0);
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av_assert2(av_log2_i(b)>=0);
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if(i > 0)
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b= av_shr_i(b, -i);
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memset(quot, 0, sizeof(AVInteger));
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while(i-- >= 0){
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*quot= av_shr_i(*quot, -1);
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if(av_cmp_i(a, b) >= 0){
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a= av_sub_i(a, b);
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quot->v[0] += 1;
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}
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b= av_shr_i(b, 1);
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}
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return a;
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}
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AVInteger av_div_i(AVInteger a, AVInteger b){
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AVInteger quot;
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av_mod_i(", a, b);
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return quot;
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}
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AVInteger av_int2i(int64_t a){
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AVInteger out;
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int i;
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for(i=0; i<AV_INTEGER_SIZE; i++){
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out.v[i]= a;
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a>>=16;
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}
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return out;
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}
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int64_t av_i2int(AVInteger a){
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int i;
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int64_t out=(int8_t)a.v[AV_INTEGER_SIZE-1];
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for(i= AV_INTEGER_SIZE-2; i>=0; i--){
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out = (out<<16) + a.v[i];
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}
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return out;
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}
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