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			304 lines
		
	
	
		
			8.2 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
			
		
		
	
	
			304 lines
		
	
	
		
			8.2 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
| /*
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|  * simple arithmetic expression evaluator
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|  *
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|  * Copyright (c) 2002 Michael Niedermayer <michaelni@gmx.at>
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|  *
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|  * This library 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 of the License, or (at your option) any later version.
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|  *
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|  * This library 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 this library; 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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| 
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| /**
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|  * @file eval.c
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|  * simple arithmetic expression evaluator.
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|  *
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|  * see http://joe.hotchkiss.com/programming/eval/eval.html
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|  */
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| 
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| #include "avcodec.h"
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| #include "mpegvideo.h"
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| 
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| #include <stdio.h>
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| #include <stdlib.h>
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| #include <string.h>
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| #include <math.h>
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| 
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| #ifndef NAN
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|   #define NAN 0.0/0.0
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| #endif
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| 
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| #ifndef M_PI
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| #define M_PI 3.14159265358979323846
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| #endif
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| 
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| typedef struct Parser{
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|     int stack_index;
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|     char *s;
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|     double *const_value;
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|     const char **const_name;          // NULL terminated
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|     double (**func1)(void *, double a); // NULL terminated
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|     const char **func1_name;          // NULL terminated
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|     double (**func2)(void *, double a, double b); // NULL terminated
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|     char **func2_name;          // NULL terminated
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|     void *opaque;
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|     char **error;
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| } Parser;
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| 
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| static double evalExpression(Parser *p);
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| 
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| static int8_t si_prefixes['z' - 'E' + 1]={
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|     ['y'-'E']= -24,
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|     ['z'-'E']= -21,
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|     ['a'-'E']= -18,
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|     ['f'-'E']= -15,
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|     ['p'-'E']= -12,
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|     ['n'-'E']= - 9,
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|     ['u'-'E']= - 6,
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|     ['m'-'E']= - 3,
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|     ['c'-'E']= - 2,
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|     ['d'-'E']= - 1,
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|     ['h'-'E']=   2,
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|     ['k'-'E']=   3,
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|     ['K'-'E']=   3,
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|     ['M'-'E']=   6,
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|     ['G'-'E']=   9,
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|     ['T'-'E']=  12,
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|     ['P'-'E']=  15,
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|     ['E'-'E']=  18,
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|     ['Z'-'E']=  21,
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|     ['Y'-'E']=  24,
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| };
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| 
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| /** strtod() function extended with 'k', 'M', 'G', 'ki', 'Mi', 'Gi' and 'B'
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|  * postfixes.  This allows using f.e. kB, MiB, G and B as a postfix. This
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|  * function assumes that the unit of numbers is bits not bytes.
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|  */
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| static double av_strtod(const char *name, char **tail) {
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|     double d;
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|     char *next;
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|     d = strtod(name, &next);
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|     /* if parsing succeeded, check for and interpret postfixes */
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|     if (next!=name) {
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| 
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|         if(*next >= 'E' && *next <= 'z'){
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|             int e= si_prefixes[*next - 'E'];
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|             if(e){
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|                 if(next[1] == 'i'){
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|                     d*= pow( 2, e/0.3);
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|                     next+=2;
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|                 }else{
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|                     d*= pow(10, e);
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|                     next++;
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|                 }
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|             }
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|         }
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| 
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|         if(*next=='B') {
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|             d*=8;
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|             *next++;
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|         }
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|     }
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|     /* if requested, fill in tail with the position after the last parsed
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|        character */
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|     if (tail)
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|         *tail = next;
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|     return d;
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| }
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| 
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| static int strmatch(const char *s, const char *prefix){
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|     int i;
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|     for(i=0; prefix[i]; i++){
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|         if(prefix[i] != s[i]) return 0;
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|     }
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|     return 1;
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| }
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| 
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| static double evalPrimary(Parser *p){
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|     double d, d2=NAN;
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|     char *next= p->s;
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|     int i;
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| 
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|     /* number */
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|     d= av_strtod(p->s, &next);
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|     if(next != p->s){
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|         p->s= next;
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|         return d;
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|     }
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| 
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|     /* named constants */
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|     for(i=0; p->const_name && p->const_name[i]; i++){
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|         if(strmatch(p->s, p->const_name[i])){
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|             p->s+= strlen(p->const_name[i]);
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|             return p->const_value[i];
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|         }
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|     }
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| 
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|     p->s= strchr(p->s, '(');
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|     if(p->s==NULL){
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|         *p->error = "missing (";
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|         p->s= next;
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|         return NAN;
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|     }
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|     p->s++; // "("
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|     d= evalExpression(p);
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|     if(p->s[0]== ','){
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|         p->s++; // ","
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|         d2= evalExpression(p);
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|     }
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|     if(p->s[0] != ')'){
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|         *p->error = "missing )";
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|         return NAN;
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|     }
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|     p->s++; // ")"
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| 
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|          if( strmatch(next, "sinh"  ) ) d= sinh(d);
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|     else if( strmatch(next, "cosh"  ) ) d= cosh(d);
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|     else if( strmatch(next, "tanh"  ) ) d= tanh(d);
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|     else if( strmatch(next, "sin"   ) ) d= sin(d);
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|     else if( strmatch(next, "cos"   ) ) d= cos(d);
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|     else if( strmatch(next, "tan"   ) ) d= tan(d);
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|     else if( strmatch(next, "exp"   ) ) d= exp(d);
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|     else if( strmatch(next, "log"   ) ) d= log(d);
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|     else if( strmatch(next, "squish") ) d= 1/(1+exp(4*d));
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|     else if( strmatch(next, "gauss" ) ) d= exp(-d*d/2)/sqrt(2*M_PI);
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|     else if( strmatch(next, "abs"   ) ) d= fabs(d);
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|     else if( strmatch(next, "max"   ) ) d= d >  d2 ?   d : d2;
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|     else if( strmatch(next, "min"   ) ) d= d <  d2 ?   d : d2;
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|     else if( strmatch(next, "gt"    ) ) d= d >  d2 ? 1.0 : 0.0;
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|     else if( strmatch(next, "gte"   ) ) d= d >= d2 ? 1.0 : 0.0;
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|     else if( strmatch(next, "lt"    ) ) d= d >  d2 ? 0.0 : 1.0;
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|     else if( strmatch(next, "lte"   ) ) d= d >= d2 ? 0.0 : 1.0;
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|     else if( strmatch(next, "eq"    ) ) d= d == d2 ? 1.0 : 0.0;
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|     else if( strmatch(next, "("     ) ) d= d;
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| //    else if( strmatch(next, "l1"    ) ) d= 1 + d2*(d - 1);
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| //    else if( strmatch(next, "sq01"  ) ) d= (d >= 0.0 && d <=1.0) ? 1.0 : 0.0;
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|     else{
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|         for(i=0; p->func1_name && p->func1_name[i]; i++){
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|             if(strmatch(next, p->func1_name[i])){
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|                 return p->func1[i](p->opaque, d);
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|             }
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|         }
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| 
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|         for(i=0; p->func2_name && p->func2_name[i]; i++){
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|             if(strmatch(next, p->func2_name[i])){
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|                 return p->func2[i](p->opaque, d, d2);
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|             }
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|         }
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| 
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|         *p->error = "unknown function";
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|         return NAN;
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|     }
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| 
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|     return d;
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| }
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| 
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| static double evalPow(Parser *p){
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|     int sign= (*p->s == '+') - (*p->s == '-');
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|     p->s += sign&1;
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|     return (sign|1) * evalPrimary(p);
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| }
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| 
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| static double evalFactor(Parser *p){
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|     double ret= evalPow(p);
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|     while(p->s[0]=='^'){
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|         p->s++;
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|         ret= pow(ret, evalPow(p));
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|     }
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|     return ret;
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| }
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| 
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| static double evalTerm(Parser *p){
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|     double ret= evalFactor(p);
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|     while(p->s[0]=='*' || p->s[0]=='/'){
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|         if(*p->s++ == '*') ret*= evalFactor(p);
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|         else               ret/= evalFactor(p);
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|     }
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|     return ret;
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| }
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| 
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| static double evalExpression(Parser *p){
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|     double ret= 0;
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| 
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|     if(p->stack_index <= 0) //protect against stack overflows
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|         return NAN;
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|     p->stack_index--;
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| 
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|     do{
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|         ret += evalTerm(p);
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|     }while(*p->s == '+' || *p->s == '-');
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| 
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|     p->stack_index++;
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| 
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|     return ret;
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| }
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| 
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| double ff_eval2(char *s, double *const_value, const char **const_name,
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|                double (**func1)(void *, double), const char **func1_name,
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|                double (**func2)(void *, double, double), char **func2_name,
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|                void *opaque, char **error){
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|     Parser p;
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| 
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|     p.stack_index=100;
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|     p.s= s;
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|     p.const_value= const_value;
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|     p.const_name = const_name;
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|     p.func1      = func1;
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|     p.func1_name = func1_name;
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|     p.func2      = func2;
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|     p.func2_name = func2_name;
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|     p.opaque     = opaque;
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|     p.error= error;
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| 
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|     return evalExpression(&p);
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| }
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| 
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| #if LIBAVCODEC_VERSION_INT < ((52<<16)+(0<<8)+0)
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| attribute_deprecated double ff_eval(char *s, double *const_value, const char **const_name,
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|                double (**func1)(void *, double), const char **func1_name,
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|                double (**func2)(void *, double, double), char **func2_name,
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|                void *opaque){
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|     char *error=NULL;
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|     double ret;
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|     ret = ff_eval2(s, const_value, const_name, func1, func1_name, func2, func2_name, opaque, &error);
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|     if (error)
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|         av_log(NULL, AV_LOG_ERROR, "Error evaluating \"%s\": %s\n", s, error);
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|     return ret;
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| }
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| #endif
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| 
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| #ifdef TEST
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| #undef printf
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| static double const_values[]={
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|     M_PI,
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|     M_E,
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|     0
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| };
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| static const char *const_names[]={
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|     "PI",
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|     "E",
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|     0
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| };
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| main(){
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|     int i;
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|     printf("%f == 12.7\n", ff_eval("1+(5-2)^(3-1)+1/2+sin(PI)-max(-2.2,-3.1)", const_values, const_names, NULL, NULL, NULL, NULL, NULL));
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|     printf("%f == 0.931322575\n", ff_eval("80G/80Gi", const_values, const_names, NULL, NULL, NULL, NULL, NULL));
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| 
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|     for(i=0; i<1050; i++){
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|         START_TIMER
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|             ff_eval("1+(5-2)^(3-1)+1/2+sin(PI)-max(-2.2,-3.1)", const_values, const_names, NULL, NULL, NULL, NULL, NULL);
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|         STOP_TIMER("ff_eval")
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|     }
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| }
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| #endif
 | 
