/*
 * copyright (c) 2005-2012 Michael Niedermayer <michaelni@gmx.at>
 *
 * This file is part of FFmpeg.
 *
 * FFmpeg is free software; you can redistribute it and/or
 * modify it under the terms of the GNU Lesser General Public
 * License as published by the Free Software Foundation; either
 * version 2.1 of the License, or (at your option) any later version.
 *
 * FFmpeg 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
 * Lesser General Public License for more details.
 *
 * You should have received a copy of the GNU Lesser General Public
 * License along with FFmpeg; if not, write to the Free Software
 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
 */

/**
 * @file
 * @addtogroup lavu_math
 * Mathematical utilities for working with timestamp and time base.
 */
module ffmpeg.libavutil.mathematics;

import ffmpeg.libavutil;

extern (C) @nogc nothrow:

enum M_E = 2.7182818284590452354; /* e */

enum M_LN2 = 0.69314718055994530942; /* log_e 2 */

enum M_LN10 = 2.30258509299404568402; /* log_e 10 */

enum M_LOG2_10 = 3.32192809488736234787; /* log_2 10 */

enum M_PHI = 1.61803398874989484820; /* phi / golden ratio */

enum M_PI = 3.14159265358979323846; /* pi */

enum M_PI_2 = 1.57079632679489661923; /* pi/2 */

enum M_SQRT1_2 = 0.70710678118654752440; /* 1/sqrt(2) */

enum M_SQRT2 = 1.41421356237309504880; /* sqrt(2) */

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

/**
 * Rounding methods.
 */
enum AVRounding
{
    AV_ROUND_ZERO = 0, ///< Round toward zero.
    AV_ROUND_INF = 1, ///< Round away from zero.
    AV_ROUND_DOWN = 2, ///< Round toward -infinity.
    AV_ROUND_UP = 3, ///< Round toward +infinity.
    AV_ROUND_NEAR_INF = 5, ///< Round to nearest and halfway cases away from zero.
    /**
     * Flag telling rescaling functions to pass `INT64_MIN`/`MAX` through
     * unchanged, avoiding special cases for #AV_NOPTS_VALUE.
     *
     * Unlike other values of the enumeration AVRounding, this value is a
     * bitmask that must be used in conjunction with another value of the
     * enumeration through a bitwise OR, in order to set behavior for normal
     * cases.
     *
     * @code{.c}
     * av_rescale_rnd(3, 1, 2, AV_ROUND_UP | AV_ROUND_PASS_MINMAX);
     * // Rescaling 3:
     * //     Calculating 3 * 1 / 2
     * //     3 / 2 is rounded up to 2
     * //     => 2
     *
     * av_rescale_rnd(AV_NOPTS_VALUE, 1, 2, AV_ROUND_UP | AV_ROUND_PASS_MINMAX);
     * // Rescaling AV_NOPTS_VALUE:
     * //     AV_NOPTS_VALUE == INT64_MIN
     * //     AV_NOPTS_VALUE is passed through
     * //     => AV_NOPTS_VALUE
     * @endcode
     */
    AV_ROUND_PASS_MINMAX = 8192
}

/**
 * Compute the greatest common divisor of two integer operands.
 *
 * @param a,b Operands
 * @return GCD of a and b up to sign; if a >= 0 and b >= 0, return value is >= 0;
 * if a == 0 and b == 0, returns 0.
 */
long av_gcd (long a, long b);

/**
 * Rescale a 64-bit integer with rounding to nearest.
 *
 * The operation is mathematically equivalent to `a * b / c`, but writing that
 * directly can overflow.
 *
 * This function is equivalent to av_rescale_rnd() with #AV_ROUND_NEAR_INF.
 *
 * @see av_rescale_rnd(), av_rescale_q(), av_rescale_q_rnd()
 */
long av_rescale (long a, long b, long c);

/**
 * Rescale a 64-bit integer with specified rounding.
 *
 * The operation is mathematically equivalent to `a * b / c`, but writing that
 * directly can overflow, and does not support different rounding methods.
 * If the result is not representable then INT64_MIN is returned.
 *
 * @see av_rescale(), av_rescale_q(), av_rescale_q_rnd()
 */
long av_rescale_rnd (long a, long b, long c, AVRounding rnd);

/**
 * Rescale a 64-bit integer by 2 rational numbers.
 *
 * The operation is mathematically equivalent to `a * bq / cq`.
 *
 * This function is equivalent to av_rescale_q_rnd() with #AV_ROUND_NEAR_INF.
 *
 * @see av_rescale(), av_rescale_rnd(), av_rescale_q_rnd()
 */
long av_rescale_q (long a, AVRational bq, AVRational cq);

/**
 * Rescale a 64-bit integer by 2 rational numbers with specified rounding.
 *
 * The operation is mathematically equivalent to `a * bq / cq`.
 *
 * @see av_rescale(), av_rescale_rnd(), av_rescale_q()
 */
long av_rescale_q_rnd (long a, AVRational bq, AVRational cq, AVRounding rnd);

/**
 * Compare two timestamps each in its own time base.
 *
 * @return One of the following values:
 *         - -1 if `ts_a` is before `ts_b`
 *         - 1 if `ts_a` is after `ts_b`
 *         - 0 if they represent the same position
 *
 * @warning
 * The result of the function is undefined if one of the timestamps is outside
 * the `int64_t` range when represented in the other's timebase.
 */
int av_compare_ts (long ts_a, AVRational tb_a, long ts_b, AVRational tb_b);

/**
 * Compare the remainders of two integer operands divided by a common divisor.
 *
 * In other words, compare the least significant `log2(mod)` bits of integers
 * `a` and `b`.
 *
 * @code{.c}
 * av_compare_mod(0x11, 0x02, 0x10) < 0 // since 0x11 % 0x10  (0x1) < 0x02 % 0x10  (0x2)
 * av_compare_mod(0x11, 0x02, 0x20) > 0 // since 0x11 % 0x20 (0x11) > 0x02 % 0x20 (0x02)
 * @endcode
 *
 * @param a,b Operands
 * @param mod Divisor; must be a power of 2
 * @return
 *         - a negative value if `a % mod < b % mod`
 *         - a positive value if `a % mod > b % mod`
 *         - zero             if `a % mod == b % mod`
 */
long av_compare_mod (ulong a, ulong b, ulong mod);

/**
 * Rescale a timestamp while preserving known durations.
 *
 * This function is designed to be called per audio packet to scale the input
 * timestamp to a different time base. Compared to a simple av_rescale_q()
 * call, this function is robust against possible inconsistent frame durations.
 *
 * The `last` parameter is a state variable that must be preserved for all
 * subsequent calls for the same stream. For the first call, `*last` should be
 * initialized to #AV_NOPTS_VALUE.
 *
 * @param[in]     in_tb    Input time base
 * @param[in]     in_ts    Input timestamp
 * @param[in]     fs_tb    Duration time base; typically this is finer-grained
 *                         (greater) than `in_tb` and `out_tb`
 * @param[in]     duration Duration till the next call to this function (i.e.
 *                         duration of the current packet/frame)
 * @param[in,out] last     Pointer to a timestamp expressed in terms of
 *                         `fs_tb`, acting as a state variable
 * @param[in]     out_tb   Output timebase
 * @return        Timestamp expressed in terms of `out_tb`
 *
 * @note In the context of this function, "duration" is in term of samples, not
 *       seconds.
 */
long av_rescale_delta (AVRational in_tb, long in_ts, AVRational fs_tb, int duration, long* last, AVRational out_tb);

/**
 * Add a value to a timestamp.
 *
 * This function guarantees that when the same value is repeatly added that
 * no accumulation of rounding errors occurs.
 *
 * @param[in] ts     Input timestamp
 * @param[in] ts_tb  Input timestamp time base
 * @param[in] inc    Value to be added
 * @param[in] inc_tb Time base of `inc`
 */
long av_add_stable (AVRational ts_tb, long ts, AVRational inc_tb, long inc);

/**
 * @}
 */

/* AVUTIL_MATHEMATICS_H */