#ifndef _AVUTIL_RATIONAL_H_86fd6714_
#define _AVUTIL_RATIONAL_H_86fd6714_

/*
 * This file was stolen from ffmpeg and modified for usability here.
 *  The original is
 * 
 * Copyright (c) 2003 Michael Niedermayer <michaelni@gmx.at>
 *
 * This version is a derivative work of that version.  It is not free
 *  software; it is licensed under the GNU Lesser General Public
 *  License version 2.1, which places nontrivial restrictions on what
 *  may be done with it.  (I'm not terribly happy about that, but for
 *  my purposes accepting LGPL-infected code is a lower price than
 *  reimplementing it all myself.)
 *
 * The LGPL v2.1 as distributed with ffmpeg is in the accompanying file
 *  `LGPL-v2.1'.
 */

#include <stdint.h>
#include <limits.h>

#include "avutil-attributes.h"

/**
 * @addtogroup lavu_math
 * @{
 */

/**
 * rational number numerator/denominator
 */
typedef struct AVRational{
    int num; ///< numerator
    int den; ///< denominator
} AVRational;

/**
 * Compare two rationals.
 * @param a first rational
 * @param b second rational
 * @return 0 if a==b, 1 if a>b, -1 if a<b, and INT_MIN if one of the
 * values is of the form 0/0
 */
static inline int av_cmp_q(AVRational a, AVRational b){
    const int64_t tmp= a.num * (int64_t)b.den - b.num * (int64_t)a.den;

    if(tmp) return ((tmp ^ a.den ^ b.den)>>63)|1;
    else if(b.den && a.den) return 0;
    else if(a.num && b.num) return (a.num>>31) - (b.num>>31);
    else                    return INT_MIN;
}

/**
 * Convert rational to double.
 * @param a rational to convert
 * @return (double) a
 */
static inline double av_q2d(AVRational a){
    return a.num / (double) a.den;
}

/**
 * Reduce a fraction.
 * This is useful for framerate calculations.
 * @param dst_num destination numerator
 * @param dst_den destination denominator
 * @param num source numerator
 * @param den source denominator
 * @param max the maximum allowed for dst_num & dst_den
 * @return 1 if exact, 0 otherwise
 */
int av_reduce(int *dst_num, int *dst_den, int64_t num, int64_t den, int64_t max);

/**
 * Multiply two rationals.
 * @param b first rational
 * @param c second rational
 * @return b*c
 */
AVRational av_mul_q(AVRational b, AVRational c) av_const;

/**
 * Divide one rational by another.
 * @param b first rational
 * @param c second rational
 * @return b/c
 */
AVRational av_div_q(AVRational b, AVRational c) av_const;

/**
 * Add two rationals.
 * @param b first rational
 * @param c second rational
 * @return b+c
 */
AVRational av_add_q(AVRational b, AVRational c) av_const;

/**
 * Subtract one rational from another.
 * @param b first rational
 * @param c second rational
 * @return b-c
 */
AVRational av_sub_q(AVRational b, AVRational c) av_const;

/**
 * Convert a double precision floating point number to a rational.
 * inf is expressed as {1,0} or {-1,0} depending on the sign.
 *
 * @param d double to convert
 * @param max the maximum allowed numerator and denominator
 * @return (AVRational) d
 */
AVRational av_d2q(double d, int max) av_const;

/**
 * @return 1 if q1 is nearer to q than q2, -1 if q2 is nearer
 * than q1, 0 if they have the same distance.
 */
int av_nearer_q(AVRational q, AVRational q1, AVRational q2);

/**
 * Find the nearest value in q_list to q.
 * @param q_list an array of rationals terminated by {0, 0}
 * @return the index of the nearest value found in the array
 */
int av_find_nearest_q_idx(AVRational q, const AVRational* q_list);

/**
 * @}
 */

#endif