2002-08-25 23:19:50 +02:00
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/*
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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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2006-10-07 17:30:46 +02:00
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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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2002-08-25 23:19:50 +02:00
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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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2006-10-07 17:30:46 +02:00
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* version 2.1 of the License, or (at your option) any later version.
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2002-08-25 23:19:50 +02:00
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*
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2006-10-07 17:30:46 +02:00
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* FFmpeg is distributed in the hope that it will be useful,
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2002-08-25 23:19:50 +02:00
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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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2006-10-07 17:30:46 +02:00
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* License along with FFmpeg; if not, write to the Free Software
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2006-01-12 23:43:26 +01:00
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* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
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2002-08-25 23:19:50 +02:00
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*
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*/
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2003-03-06 12:32:04 +01:00
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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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2002-08-25 23:19:50 +02:00
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* see http://joe.hotchkiss.com/programming/eval/eval.html
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*/
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2003-02-10 10:35:32 +01:00
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#include "avcodec.h"
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#include "mpegvideo.h"
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2006-10-27 18:42:16 +02:00
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#include "eval.h"
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2003-02-10 10:35:32 +01:00
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2002-08-25 23:19:50 +02:00
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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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2002-08-26 00:54:43 +02:00
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#ifndef NAN
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2006-09-23 10:50:50 +02:00
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#define NAN 0.0/0.0
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2002-08-26 00:54:43 +02:00
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#endif
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2002-08-30 18:16:30 +02:00
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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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2002-08-25 23:19:50 +02:00
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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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2003-02-10 10:35:32 +01:00
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const char **const_name; // NULL terminated
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2002-08-25 23:19:50 +02:00
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double (**func1)(void *, double a); // NULL terminated
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2003-02-10 10:35:32 +01:00
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const char **func1_name; // NULL terminated
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2002-08-25 23:19:50 +02:00
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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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2006-09-27 00:01:33 +02:00
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char **error;
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2006-10-28 00:16:25 +02:00
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#define VARS 10
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double var[VARS];
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2002-08-25 23:19:50 +02:00
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} Parser;
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2006-09-27 22:01:39 +02:00
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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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/** 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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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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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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2003-02-10 10:35:32 +01:00
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static int strmatch(const char *s, const char *prefix){
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2002-08-25 23:19:50 +02:00
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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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2006-10-27 18:42:16 +02:00
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struct ff_expr_s {
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enum {
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e_value, e_const, e_func0, e_func1, e_func2,
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2006-10-28 00:16:25 +02:00
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e_squish, e_gauss, e_ld,
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2006-10-27 18:42:16 +02:00
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e_mod, e_max, e_min, e_eq, e_gt, e_gte,
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e_pow, e_mul, e_div, e_add,
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2006-10-28 00:35:55 +02:00
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e_last, e_st, e_while,
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2006-10-27 18:42:16 +02:00
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} type;
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double value; // is sign in other types
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union {
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int const_index;
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double (*func0)(double);
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double (*func1)(void *, double);
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double (*func2)(void *, double, double);
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} a;
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AVEvalExpr * param[2];
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};
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static double eval_expr(Parser * p, AVEvalExpr * e) {
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switch (e->type) {
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case e_value: return e->value;
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case e_const: return e->value * p->const_value[e->a.const_index];
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case e_func0: return e->value * e->a.func0(eval_expr(p, e->param[0]));
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case e_func1: return e->value * e->a.func1(p->opaque, eval_expr(p, e->param[0]));
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case e_func2: return e->value * e->a.func2(p->opaque, eval_expr(p, e->param[0]), eval_expr(p, e->param[1]));
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case e_squish: return 1/(1+exp(4*eval_expr(p, e->param[0])));
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case e_gauss: { double d = eval_expr(p, e->param[0]); return exp(-d*d/2)/sqrt(2*M_PI); }
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2006-10-28 00:16:25 +02:00
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case e_ld: return e->value * p->var[clip(eval_expr(p, e->param[0]), 0, VARS-1)];
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2006-10-28 00:35:55 +02:00
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case e_while: {
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2006-10-28 09:03:24 +02:00
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double d = NAN;
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2006-10-28 00:35:55 +02:00
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while(eval_expr(p, e->param[0]))
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d=eval_expr(p, e->param[1]);
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return d;
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}
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2006-10-27 18:42:16 +02:00
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default: {
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double d = eval_expr(p, e->param[0]);
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double d2 = eval_expr(p, e->param[1]);
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switch (e->type) {
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case e_mod: return e->value * (d - floor(d/d2)*d2);
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case e_max: return e->value * (d > d2 ? d : d2);
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case e_min: return e->value * (d < d2 ? d : d2);
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case e_eq: return e->value * (d == d2 ? 1.0 : 0.0);
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case e_gt: return e->value * (d > d2 ? 1.0 : 0.0);
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case e_gte: return e->value * (d >= d2 ? 1.0 : 0.0);
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case e_pow: return e->value * pow(d, d2);
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case e_mul: return e->value * (d * d2);
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case e_div: return e->value * (d / d2);
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case e_add: return e->value * (d + d2);
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2006-10-28 00:16:25 +02:00
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case e_last:return d2;
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case e_st : return e->value * (p->var[clip(d, 0, VARS-1)]= d2);
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2006-10-27 18:42:16 +02:00
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}
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}
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}
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return NAN;
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}
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static AVEvalExpr * parse_expr(Parser *p);
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void ff_eval_free(AVEvalExpr * e) {
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if (!e) return;
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ff_eval_free(e->param[0]);
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ff_eval_free(e->param[1]);
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av_freep(&e);
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}
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static AVEvalExpr * parse_primary(Parser *p) {
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AVEvalExpr * d = av_mallocz(sizeof(AVEvalExpr));
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2002-08-25 23:19:50 +02:00
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char *next= p->s;
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int i;
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/* number */
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2006-10-27 18:42:16 +02:00
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d->value = av_strtod(p->s, &next);
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2002-08-25 23:19:50 +02:00
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if(next != p->s){
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2006-10-27 18:42:16 +02:00
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d->type = e_value;
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2002-08-25 23:19:50 +02:00
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p->s= next;
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2005-01-15 21:04:41 +01:00
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return d;
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2002-08-25 23:19:50 +02:00
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}
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2006-10-27 18:42:16 +02:00
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d->value = 1;
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2005-12-17 19:14:38 +01:00
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2002-08-25 23:19:50 +02:00
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/* named constants */
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2005-01-15 20:05:26 +01:00
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for(i=0; p->const_name && p->const_name[i]; i++){
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2002-08-25 23:19:50 +02:00
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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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2006-10-27 18:42:16 +02:00
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d->type = e_const;
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d->a.const_index = i;
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return d;
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2002-08-25 23:19:50 +02:00
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}
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}
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2005-12-17 19:14:38 +01:00
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2002-08-25 23:19:50 +02:00
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p->s= strchr(p->s, '(');
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if(p->s==NULL){
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2006-09-27 00:01:33 +02:00
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*p->error = "missing (";
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2006-09-24 12:38:14 +02:00
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p->s= next;
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2006-10-27 18:42:16 +02:00
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ff_eval_free(d);
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return NULL;
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2002-08-25 23:19:50 +02:00
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}
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p->s++; // "("
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2006-10-27 18:42:16 +02:00
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if (*next == '(') { // special case do-nothing
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av_freep(&d);
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d = parse_expr(p);
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if(p->s[0] != ')'){
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*p->error = "missing )";
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ff_eval_free(d);
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return NULL;
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}
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p->s++; // ")"
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return d;
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}
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d->param[0] = parse_expr(p);
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2004-02-18 13:49:30 +01:00
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if(p->s[0]== ','){
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p->s++; // ","
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2006-10-27 18:42:16 +02:00
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d->param[1] = parse_expr(p);
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2002-08-25 23:19:50 +02:00
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}
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2004-02-18 13:49:30 +01:00
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if(p->s[0] != ')'){
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2006-09-27 00:01:33 +02:00
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*p->error = "missing )";
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2006-10-27 18:42:16 +02:00
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ff_eval_free(d);
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return NULL;
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2004-02-18 13:49:30 +01:00
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}
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p->s++; // ")"
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2005-12-17 19:14:38 +01:00
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2006-10-27 18:42:16 +02:00
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d->type = e_func0;
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if( strmatch(next, "sinh" ) ) d->a.func0 = sinh;
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else if( strmatch(next, "cosh" ) ) d->a.func0 = cosh;
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else if( strmatch(next, "tanh" ) ) d->a.func0 = tanh;
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else if( strmatch(next, "sin" ) ) d->a.func0 = sin;
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else if( strmatch(next, "cos" ) ) d->a.func0 = cos;
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else if( strmatch(next, "tan" ) ) d->a.func0 = tan;
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else if( strmatch(next, "atan" ) ) d->a.func0 = atan;
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else if( strmatch(next, "asin" ) ) d->a.func0 = asin;
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else if( strmatch(next, "acos" ) ) d->a.func0 = acos;
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else if( strmatch(next, "exp" ) ) d->a.func0 = exp;
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else if( strmatch(next, "log" ) ) d->a.func0 = log;
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else if( strmatch(next, "abs" ) ) d->a.func0 = fabs;
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else if( strmatch(next, "squish") ) d->type = e_squish;
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else if( strmatch(next, "gauss" ) ) d->type = e_gauss;
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else if( strmatch(next, "mod" ) ) d->type = e_mod;
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else if( strmatch(next, "max" ) ) d->type = e_max;
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else if( strmatch(next, "min" ) ) d->type = e_min;
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else if( strmatch(next, "eq" ) ) d->type = e_eq;
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else if( strmatch(next, "gte" ) ) d->type = e_gte;
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2006-10-27 23:37:47 +02:00
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else if( strmatch(next, "gt" ) ) d->type = e_gt;
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2006-10-27 18:42:16 +02:00
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else if( strmatch(next, "lte" ) ) { AVEvalExpr * tmp = d->param[1]; d->param[1] = d->param[0]; d->param[0] = tmp; d->type = e_gt; }
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2006-10-27 23:37:47 +02:00
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else if( strmatch(next, "lt" ) ) { AVEvalExpr * tmp = d->param[1]; d->param[1] = d->param[0]; d->param[0] = tmp; d->type = e_gte; }
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2006-10-28 00:16:25 +02:00
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else if( strmatch(next, "ld" ) ) d->type = e_ld;
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else if( strmatch(next, "st" ) ) d->type = e_st;
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2006-10-28 00:35:55 +02:00
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else if( strmatch(next, "while" ) ) d->type = e_while;
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2006-10-27 18:42:16 +02:00
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else {
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2002-08-25 23:19:50 +02:00
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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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2006-10-27 18:42:16 +02:00
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d->a.func1 = p->func1[i];
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d->type = e_func1;
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return d;
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2002-08-25 23:19:50 +02:00
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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])){
|
2006-10-27 18:42:16 +02:00
|
|
|
d->a.func2 = p->func2[i];
|
|
|
|
d->type = e_func2;
|
|
|
|
return d;
|
2002-08-25 23:19:50 +02:00
|
|
|
}
|
|
|
|
}
|
|
|
|
|
2006-09-27 00:01:33 +02:00
|
|
|
*p->error = "unknown function";
|
2006-10-27 18:42:16 +02:00
|
|
|
ff_eval_free(d);
|
|
|
|
return NULL;
|
2002-08-25 23:19:50 +02:00
|
|
|
}
|
2005-01-15 20:05:26 +01:00
|
|
|
|
2005-01-15 21:04:41 +01:00
|
|
|
return d;
|
2005-12-17 19:14:38 +01:00
|
|
|
}
|
2005-01-17 19:25:32 +01:00
|
|
|
|
2006-10-27 22:38:10 +02:00
|
|
|
static AVEvalExpr * new_eval_expr(int type, int value, AVEvalExpr *p0, AVEvalExpr *p1){
|
|
|
|
AVEvalExpr * e = av_mallocz(sizeof(AVEvalExpr));
|
|
|
|
e->type =type ;
|
|
|
|
e->value =value ;
|
|
|
|
e->param[0] =p0 ;
|
|
|
|
e->param[1] =p1 ;
|
|
|
|
return e;
|
|
|
|
}
|
|
|
|
|
2006-10-27 18:42:16 +02:00
|
|
|
static AVEvalExpr * parse_pow(Parser *p, int *sign){
|
2006-10-16 21:06:56 +02:00
|
|
|
*sign= (*p->s == '+') - (*p->s == '-');
|
|
|
|
p->s += *sign&1;
|
2006-10-27 18:42:16 +02:00
|
|
|
return parse_primary(p);
|
2002-08-25 23:19:50 +02:00
|
|
|
}
|
|
|
|
|
2006-10-27 18:42:16 +02:00
|
|
|
static AVEvalExpr * parse_factor(Parser *p){
|
2006-10-16 21:06:56 +02:00
|
|
|
int sign, sign2;
|
2006-10-27 18:42:16 +02:00
|
|
|
AVEvalExpr * e = parse_pow(p, &sign);
|
2002-08-25 23:19:50 +02:00
|
|
|
while(p->s[0]=='^'){
|
|
|
|
p->s++;
|
2006-10-27 23:13:31 +02:00
|
|
|
e= new_eval_expr(e_pow, 1, e, parse_pow(p, &sign2));
|
|
|
|
if (e->param[1]) e->param[1]->value *= (sign2|1);
|
2002-08-25 23:19:50 +02:00
|
|
|
}
|
2006-10-27 18:42:16 +02:00
|
|
|
if (e) e->value *= (sign|1);
|
|
|
|
return e;
|
2002-08-25 23:19:50 +02:00
|
|
|
}
|
|
|
|
|
2006-10-27 18:42:16 +02:00
|
|
|
static AVEvalExpr * parse_term(Parser *p){
|
|
|
|
AVEvalExpr * e = parse_factor(p);
|
2002-08-25 23:19:50 +02:00
|
|
|
while(p->s[0]=='*' || p->s[0]=='/'){
|
2006-10-27 22:38:10 +02:00
|
|
|
int c= *p->s++;
|
|
|
|
e= new_eval_expr(c == '*' ? e_mul : e_div, 1, e, parse_factor(p));
|
2002-08-25 23:19:50 +02:00
|
|
|
}
|
2006-10-27 18:42:16 +02:00
|
|
|
return e;
|
2002-08-25 23:19:50 +02:00
|
|
|
}
|
|
|
|
|
2006-10-28 00:16:25 +02:00
|
|
|
static AVEvalExpr * parse_subexpr(Parser *p) {
|
|
|
|
AVEvalExpr * e = parse_term(p);
|
|
|
|
while(*p->s == '+' || *p->s == '-') {
|
|
|
|
e= new_eval_expr(e_add, 1, e, parse_term(p));
|
|
|
|
};
|
|
|
|
|
|
|
|
return e;
|
|
|
|
}
|
|
|
|
|
2006-10-27 18:42:16 +02:00
|
|
|
static AVEvalExpr * parse_expr(Parser *p) {
|
|
|
|
AVEvalExpr * e;
|
2002-08-25 23:19:50 +02:00
|
|
|
|
2005-01-15 21:04:41 +01:00
|
|
|
if(p->stack_index <= 0) //protect against stack overflows
|
2006-10-27 18:42:16 +02:00
|
|
|
return NULL;
|
2005-01-15 21:04:41 +01:00
|
|
|
p->stack_index--;
|
|
|
|
|
2006-10-28 00:16:25 +02:00
|
|
|
e = parse_subexpr(p);
|
2006-10-27 18:42:16 +02:00
|
|
|
|
2006-10-28 00:16:25 +02:00
|
|
|
while(*p->s == ';') {
|
|
|
|
p->s++;
|
|
|
|
e= new_eval_expr(e_last, 1, e, parse_subexpr(p));
|
2006-10-27 18:42:16 +02:00
|
|
|
};
|
2005-01-15 21:04:41 +01:00
|
|
|
|
|
|
|
p->stack_index++;
|
|
|
|
|
2006-10-27 18:42:16 +02:00
|
|
|
return e;
|
2002-08-25 23:19:50 +02:00
|
|
|
}
|
|
|
|
|
2006-10-27 18:42:16 +02:00
|
|
|
static int verify_expr(AVEvalExpr * e) {
|
|
|
|
if (!e) return 0;
|
|
|
|
switch (e->type) {
|
|
|
|
case e_value:
|
|
|
|
case e_const: return 1;
|
|
|
|
case e_func0:
|
|
|
|
case e_func1:
|
|
|
|
case e_squish:
|
2006-10-28 00:16:25 +02:00
|
|
|
case e_ld:
|
2006-10-27 18:42:16 +02:00
|
|
|
case e_gauss: return verify_expr(e->param[0]);
|
|
|
|
default: return verify_expr(e->param[0]) && verify_expr(e->param[1]);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
AVEvalExpr * ff_parse(char *s, const char **const_name,
|
2003-02-10 10:35:32 +01:00
|
|
|
double (**func1)(void *, double), const char **func1_name,
|
2002-08-25 23:19:50 +02:00
|
|
|
double (**func2)(void *, double, double), char **func2_name,
|
2006-10-27 18:42:16 +02:00
|
|
|
char **error){
|
2002-08-25 23:19:50 +02:00
|
|
|
Parser p;
|
2006-10-27 18:42:16 +02:00
|
|
|
AVEvalExpr * e;
|
2005-12-17 19:14:38 +01:00
|
|
|
|
2005-01-15 21:04:41 +01:00
|
|
|
p.stack_index=100;
|
2002-08-25 23:19:50 +02:00
|
|
|
p.s= s;
|
|
|
|
p.const_name = const_name;
|
|
|
|
p.func1 = func1;
|
|
|
|
p.func1_name = func1_name;
|
|
|
|
p.func2 = func2;
|
|
|
|
p.func2_name = func2_name;
|
2006-09-27 00:01:33 +02:00
|
|
|
p.error= error;
|
2005-12-17 19:14:38 +01:00
|
|
|
|
2006-10-27 18:42:16 +02:00
|
|
|
e = parse_expr(&p);
|
|
|
|
if (!verify_expr(e)) {
|
|
|
|
ff_eval_free(e);
|
|
|
|
return NULL;
|
|
|
|
}
|
|
|
|
return e;
|
|
|
|
}
|
|
|
|
|
|
|
|
double ff_parse_eval(AVEvalExpr * e, double *const_value, void *opaque) {
|
|
|
|
Parser p;
|
|
|
|
|
|
|
|
p.const_value= const_value;
|
|
|
|
p.opaque = opaque;
|
|
|
|
return eval_expr(&p, e);
|
|
|
|
}
|
|
|
|
|
|
|
|
double ff_eval2(char *s, double *const_value, const char **const_name,
|
|
|
|
double (**func1)(void *, double), const char **func1_name,
|
|
|
|
double (**func2)(void *, double, double), char **func2_name,
|
|
|
|
void *opaque, char **error){
|
|
|
|
AVEvalExpr * e = ff_parse(s, const_name, func1, func1_name, func2, func2_name, error);
|
|
|
|
double d;
|
|
|
|
if (!e) return NAN;
|
|
|
|
d = ff_parse_eval(e, const_value, opaque);
|
|
|
|
ff_eval_free(e);
|
|
|
|
return d;
|
2002-08-25 23:19:50 +02:00
|
|
|
}
|
2005-01-15 20:05:26 +01:00
|
|
|
|
2006-09-27 22:08:36 +02:00
|
|
|
#if LIBAVCODEC_VERSION_INT < ((52<<16)+(0<<8)+0)
|
2006-09-27 00:01:33 +02:00
|
|
|
attribute_deprecated double ff_eval(char *s, double *const_value, const char **const_name,
|
|
|
|
double (**func1)(void *, double), const char **func1_name,
|
|
|
|
double (**func2)(void *, double, double), char **func2_name,
|
|
|
|
void *opaque){
|
|
|
|
char *error=NULL;
|
|
|
|
double ret;
|
|
|
|
ret = ff_eval2(s, const_value, const_name, func1, func1_name, func2, func2_name, opaque, &error);
|
|
|
|
if (error)
|
|
|
|
av_log(NULL, AV_LOG_ERROR, "Error evaluating \"%s\": %s\n", s, error);
|
|
|
|
return ret;
|
|
|
|
}
|
|
|
|
#endif
|
|
|
|
|
2005-01-15 20:05:26 +01:00
|
|
|
#ifdef TEST
|
2005-12-17 19:14:38 +01:00
|
|
|
#undef printf
|
2005-01-15 20:05:26 +01:00
|
|
|
static double const_values[]={
|
|
|
|
M_PI,
|
|
|
|
M_E,
|
|
|
|
0
|
|
|
|
};
|
|
|
|
static const char *const_names[]={
|
|
|
|
"PI",
|
|
|
|
"E",
|
|
|
|
0
|
|
|
|
};
|
|
|
|
main(){
|
2005-01-17 19:25:32 +01:00
|
|
|
int i;
|
2005-01-15 20:05:26 +01:00
|
|
|
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));
|
2006-09-17 12:22:01 +02:00
|
|
|
printf("%f == 0.931322575\n", ff_eval("80G/80Gi", const_values, const_names, NULL, NULL, NULL, NULL, NULL));
|
2005-12-17 19:14:38 +01:00
|
|
|
|
2005-01-17 19:25:32 +01:00
|
|
|
for(i=0; i<1050; i++){
|
|
|
|
START_TIMER
|
|
|
|
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);
|
|
|
|
STOP_TIMER("ff_eval")
|
|
|
|
}
|
2005-01-15 20:05:26 +01:00
|
|
|
}
|
|
|
|
#endif
|