[ffmpeg] / libavcodec / ac3enc.c

/*
 * The simplest AC-3 encoder
 * Copyright (c) 2000 Fabrice Bellard
 *
 * 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
 * The simplest AC-3 encoder.
 */

//#define DEBUG

#include "libavcore/audioconvert.h"
#include "libavutil/crc.h"
#include "avcodec.h"
#include "put_bits.h"
#include "ac3.h"
#include "audioconvert.h"


#define MDCT_NBITS 9
#define MDCT_SAMPLES (1 << MDCT_NBITS)

/** Maximum number of exponent groups. +1 for separate DC exponent. */
#define AC3_MAX_EXP_GROUPS 85

/** Scale a float value by 2^bits and convert to an integer. */
#define SCALE_FLOAT(a, bits) lrintf((a) * (float)(1 << (bits)))

/** Scale a float value by 2^15, convert to an integer, and clip to int16_t range. */
#define FIX15(a) av_clip_int16(SCALE_FLOAT(a, 15))


/**
 * Compex number.
 * Used in fixed-point MDCT calculation.
 */
typedef struct IComplex {
    int16_t re,im;
} IComplex;

/**
 * AC-3 encoder private context.
 */
typedef struct AC3EncodeContext {
    PutBitContext pb;                       ///< bitstream writer context

    int bitstream_id;                       ///< bitstream id                           (bsid)
    int bitstream_mode;                     ///< bitstream mode                         (bsmod)

    int bit_rate;                           ///< target bit rate, in bits-per-second
    int sample_rate;                        ///< sampling frequency, in Hz

    int frame_size_min;                     ///< minimum frame size in case rounding is necessary
    int frame_size;                         ///< current frame size in bytes
    int frame_size_code;                    ///< frame size code                        (frmsizecod)
    int bits_written;                       ///< bit count    (used to avg. bitrate)
    int samples_written;                    ///< sample count (used to avg. bitrate)

    int fbw_channels;                       ///< number of full-bandwidth channels      (nfchans)
    int channels;                           ///< total number of channels               (nchans)
    int lfe_on;                             ///< indicates if there is an LFE channel   (lfeon)
    int lfe_channel;                        ///< channel index of the LFE channel
    int channel_mode;                       ///< channel mode                           (acmod)
    const uint8_t *channel_map;             ///< channel map used to reorder channels

    int bandwidth_code[AC3_MAX_CHANNELS];   ///< bandwidth code (0 to 60)               (chbwcod)
    int nb_coefs[AC3_MAX_CHANNELS];

    /* bitrate allocation control */
    int slow_gain_code;                     ///< slow gain code                         (sgaincod)
    int slow_decay_code;                    ///< slow decay code                        (sdcycod)
    int fast_decay_code;                    ///< fast decay code                        (fdcycod)
    int db_per_bit_code;                    ///< dB/bit code                            (dbpbcod)
    int floor_code;                         ///< floor code                             (floorcod)
    AC3BitAllocParameters bit_alloc;        ///< bit allocation parameters
    int coarse_snr_offset;                  ///< coarse SNR offsets                     (csnroffst)
    int fast_gain_code[AC3_MAX_CHANNELS];   ///< fast gain codes (signal-to-mask ratio) (fgaincod)
    int fine_snr_offset[AC3_MAX_CHANNELS];  ///< fine SNR offsets                       (fsnroffst)

    /* mantissa encoding */
    int mant1_cnt, mant2_cnt, mant4_cnt;    ///< mantissa counts for bap=1,2,4
    uint16_t *qmant1_ptr, *qmant2_ptr, *qmant4_ptr; ///< mantissa pointers for bap=1,2,4

    int16_t last_samples[AC3_MAX_CHANNELS][AC3_BLOCK_SIZE]; ///< last 256 samples from previous frame
} AC3EncodeContext;


/** MDCT and FFT tables */
static int16_t costab[64];
static int16_t sintab[64];
static int16_t xcos1[128];
static int16_t xsin1[128];


/**
 * Adjust the frame size to make the average bit rate match the target bit rate.
 * This is only needed for 11025, 22050, and 44100 sample rates.
 */
static void adjust_frame_size(AC3EncodeContext *s)
{
    while (s->bits_written >= s->bit_rate && s->samples_written >= s->sample_rate) {
        s->bits_written    -= s->bit_rate;
        s->samples_written -= s->sample_rate;
    }
    s->frame_size = s->frame_size_min + 2 * (s->bits_written * s->sample_rate < s->samples_written * s->bit_rate);
    s->bits_written    += s->frame_size * 8;
    s->samples_written += AC3_FRAME_SIZE;
}


/**
 * Deinterleave input samples.
 * Channels are reordered from FFmpeg's default order to AC-3 order.
 */
static void deinterleave_input_samples(AC3EncodeContext *s,
                                       const int16_t *samples,
                                       int16_t planar_samples[AC3_MAX_CHANNELS][AC3_BLOCK_SIZE+AC3_FRAME_SIZE])
{
    int ch, i;

    /* deinterleave and remap input samples */
    for (ch = 0; ch < s->channels; ch++) {
        const int16_t *sptr;
        int sinc;

        /* copy last 256 samples of previous frame to the start of the current frame */
        memcpy(&planar_samples[ch][0], s->last_samples[ch],
               AC3_BLOCK_SIZE * sizeof(planar_samples[0][0]));

        /* deinterleave */
        sinc = s->channels;
        sptr = samples + s->channel_map[ch];
        for (i = AC3_BLOCK_SIZE; i < AC3_FRAME_SIZE+AC3_BLOCK_SIZE; i++) {
            planar_samples[ch][i] = *sptr;
            sptr += sinc;
        }

        /* save last 256 samples for next frame */
        memcpy(s->last_samples[ch], &planar_samples[ch][6* AC3_BLOCK_SIZE],
               AC3_BLOCK_SIZE * sizeof(planar_samples[0][0]));
    }
}


/**
 * Initialize FFT tables.
 * @param ln log2(FFT size)
 */
static av_cold void fft_init(int ln)
{
    int i, n, n2;
    float alpha;

    n  = 1 << ln;
    n2 = n >> 1;

    for (i = 0; i < n2; i++) {
        alpha     = 2.0 * M_PI * i / n;
        costab[i] = FIX15(cos(alpha));
        sintab[i] = FIX15(sin(alpha));
    }
}


/**
 * Initialize MDCT tables.
 * @param nbits log2(MDCT size)
 */
static av_cold void mdct_init(int nbits)
{
    int i, n, n4;

    n  = 1 << nbits;
    n4 = n >> 2;

    fft_init(nbits - 2);

    for (i = 0; i < n4; i++) {
        float alpha = 2.0 * M_PI * (i + 1.0 / 8.0) / n;
        xcos1[i] = FIX15(-cos(alpha));
        xsin1[i] = FIX15(-sin(alpha));
    }
}


/** Butterfly op */
#define BF(pre, pim, qre, qim, pre1, pim1, qre1, qim1)  \
{                                                       \
  int ax, ay, bx, by;                                   \
  bx  = pre1;                                           \
  by  = pim1;                                           \
  ax  = qre1;                                           \
  ay  = qim1;                                           \
  pre = (bx + ax) >> 1;                                 \
  pim = (by + ay) >> 1;                                 \
  qre = (bx - ax) >> 1;                                 \
  qim = (by - ay) >> 1;                                 \
}


/** Complex multiply */
#define CMUL(pre, pim, are, aim, bre, bim)              \
{                                                       \
   pre = (MUL16(are, bre) - MUL16(aim, bim)) >> 15;     \
   pim = (MUL16(are, bim) + MUL16(bre, aim)) >> 15;     \
}


/**
 * Calculate a 2^n point complex FFT on 2^ln points.
 * @param z  complex input/output samples
 * @param ln log2(FFT size)
 */
static void fft(IComplex *z, int ln)
{
    int j, l, np, np2;
    int nblocks, nloops;
    register IComplex *p,*q;
    int tmp_re, tmp_im;

    np = 1 << ln;

    /* reverse */
    for (j = 0; j < np; j++) {
        int k = av_reverse[j] >> (8 - ln);
        if (k < j)
            FFSWAP(IComplex, z[k], z[j]);
    }

    /* pass 0 */

    p = &z[0];
    j = np >> 1;
    do {
        BF(p[0].re, p[0].im, p[1].re, p[1].im,
           p[0].re, p[0].im, p[1].re, p[1].im);
        p += 2;
    } while (--j);

    /* pass 1 */

    p = &z[0];
    j = np >> 2;
    do {
        BF(p[0].re, p[0].im, p[2].re,  p[2].im,
           p[0].re, p[0].im, p[2].re,  p[2].im);
        BF(p[1].re, p[1].im, p[3].re,  p[3].im,
           p[1].re, p[1].im, p[3].im, -p[3].re);
        p+=4;
    } while (--j);

    /* pass 2 .. ln-1 */

    nblocks = np >> 3;
    nloops  =  1 << 2;
    np2     = np >> 1;
    do {
        p = z;
        q = z + nloops;
        for (j = 0; j < nblocks; j++) {
            BF(p->re, p->im, q->re, q->im,
               p->re, p->im, q->re, q->im);
            p++;
            q++;
            for(l = nblocks; l < np2; l += nblocks) {
                CMUL(tmp_re, tmp_im, costab[l], -sintab[l], q->re, q->im);
                BF(p->re, p->im, q->re,  q->im,
                   p->re, p->im, tmp_re, tmp_im);
                p++;
                q++;
            }
            p += nloops;
            q += nloops;
        }
        nblocks = nblocks >> 1;
        nloops  = nloops  << 1;
    } while (nblocks);
}


/**
 * Calculate a 512-point MDCT
 * @param out 256 output frequency coefficients
 * @param in  512 windowed input audio samples
 */
static void mdct512(int32_t *out, int16_t *in)
{
    int i, re, im, re1, im1;
    int16_t rot[MDCT_SAMPLES];
    IComplex x[MDCT_SAMPLES/4];

    /* shift to simplify computations */
    for (i = 0; i < MDCT_SAMPLES/4; i++)
        rot[i] = -in[i + 3*MDCT_SAMPLES/4];
    for (;i < MDCT_SAMPLES; i++)
        rot[i] =  in[i -   MDCT_SAMPLES/4];

    /* pre rotation */
    for (i = 0; i < MDCT_SAMPLES/4; i++) {
        re =  ((int)rot[               2*i] - (int)rot[MDCT_SAMPLES  -1-2*i]) >> 1;
        im = -((int)rot[MDCT_SAMPLES/2+2*i] - (int)rot[MDCT_SAMPLES/2-1-2*i]) >> 1;
        CMUL(x[i].re, x[i].im, re, im, -xcos1[i], xsin1[i]);
    }

    fft(x, MDCT_NBITS - 2);

    /* post rotation */
    for (i = 0; i < MDCT_SAMPLES/4; i++) {
        re = x[i].re;
        im = x[i].im;
        CMUL(re1, im1, re, im, xsin1[i], xcos1[i]);
        out[                 2*i] = im1;
        out[MDCT_SAMPLES/2-1-2*i] = re1;
    }
}


/**
 * Apply KBD window to input samples prior to MDCT.
 */
static void apply_window(int16_t *output, const int16_t *input,
                         const int16_t *window, int n)
{
    int i;
    int n2 = n >> 1;

    for (i = 0; i < n2; i++) {
        output[i]     = MUL16(input[i],     window[i]) >> 15;
        output[n-i-1] = MUL16(input[n-i-1], window[i]) >> 15;
    }
}


/**
 * Calculate the log2() of the maximum absolute value in an array.
 * @param tab input array
 * @param n   number of values in the array
 * @return    log2(max(abs(tab[])))
 */
static int log2_tab(int16_t *tab, int n)
{
    int i, v;

    v = 0;
    for (i = 0; i < n; i++)
        v |= abs(tab[i]);

    return av_log2(v);
}


/**
 * Left-shift each value in an array by a specified amount.
 * @param tab    input array
 * @param n      number of values in the array
 * @param lshift left shift amount. a negative value means right shift.
 */
static void lshift_tab(int16_t *tab, int n, int lshift)
{
    int i;

    if (lshift > 0) {
        for(i = 0; i < n; i++)
            tab[i] <<= lshift;
    } else if (lshift < 0) {
        lshift = -lshift;
        for (i = 0; i < n; i++)
            tab[i] >>= lshift;
    }
}


/**
 * Normalize the input samples to use the maximum available precision.
 * This assumes signed 16-bit input samples. Exponents are reduced by 9 to
 * match the 24-bit internal precision for MDCT coefficients.
 *
 * @return exponent shift
 */
static int normalize_samples(AC3EncodeContext *s,
                             int16_t windowed_samples[AC3_WINDOW_SIZE])
{
    int v = 14 - log2_tab(windowed_samples, AC3_WINDOW_SIZE);
    v = FFMAX(0, v);
    lshift_tab(windowed_samples, AC3_WINDOW_SIZE, v);
    return v - 9;
}


/**
 * Apply the MDCT to input samples to generate frequency coefficients.
 * This applies the KBD window and normalizes the input to reduce precision
 * loss due to fixed-point calculations.
 */
static void apply_mdct(AC3EncodeContext *s,
                       int16_t planar_samples[AC3_MAX_CHANNELS][AC3_BLOCK_SIZE+AC3_FRAME_SIZE],
                       int8_t exp_shift[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS],
                       int32_t mdct_coef[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_MAX_COEFS])
{
    int blk, ch;
    int16_t windowed_samples[AC3_WINDOW_SIZE];

    for (ch = 0; ch < s->channels; ch++) {
        for (blk = 0; blk < AC3_MAX_BLOCKS; blk++) {
            const int16_t *input_samples = &planar_samples[ch][blk * AC3_BLOCK_SIZE];

            apply_window(windowed_samples, input_samples, ff_ac3_window, AC3_WINDOW_SIZE);

            exp_shift[blk][ch] = normalize_samples(s, windowed_samples);

            mdct512(mdct_coef[blk][ch], windowed_samples);
        }
    }
}


/**
 * Extract exponents from the MDCT coefficients.
 * This takes into account the normalization that was done to the input samples
 * by adjusting the exponents by the exponent shift values.
 */
static void extract_exponents(AC3EncodeContext *s,
                              int32_t mdct_coef[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_MAX_COEFS],
                              int8_t exp_shift[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS],
                              uint8_t exp[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_MAX_COEFS])
{
    int blk, ch, i;

    /* extract exponents */
    for (ch = 0; ch < s->channels; ch++) {
        for (blk = 0; blk < AC3_MAX_BLOCKS; blk++) {
            /* compute "exponents". We take into account the normalization there */
            for (i = 0; i < AC3_MAX_COEFS; i++) {
                int e;
                int v = abs(mdct_coef[blk][ch][i]);
                if (v == 0)
                    e = 24;
                else {
                    e = 23 - av_log2(v) + exp_shift[blk][ch];
                    if (e >= 24) {
                        e = 24;
                        mdct_coef[blk][ch][i] = 0;
                    }
                }
                exp[blk][ch][i] = e;
            }
        }
    }
}


/**
 * Calculate the sum of absolute differences (SAD) between 2 sets of exponents.
 */
static int calc_exp_diff(uint8_t *exp1, uint8_t *exp2, int n)
{
    int sum, i;
    sum = 0;
    for (i = 0; i < n; i++)
        sum += abs(exp1[i] - exp2[i]);
    return sum;
}


/**
 * Exponent Difference Threshold.
 * New exponents are sent if their SAD exceed this number.
 */
#define EXP_DIFF_THRESHOLD 1000


/**
 * Calculate exponent strategies for all blocks in a single channel.
 */
static void compute_exp_strategy_ch(uint8_t *exp_strategy, uint8_t **exp)
{
    int blk, blk1;
    int exp_diff;

    /* estimate if the exponent variation & decide if they should be
       reused in the next frame */
    exp_strategy[0] = EXP_NEW;
    for (blk = 1; blk < AC3_MAX_BLOCKS; blk++) {
        exp_diff = calc_exp_diff(exp[blk], exp[blk-1], AC3_MAX_COEFS);
        if (exp_diff > EXP_DIFF_THRESHOLD)
            exp_strategy[blk] = EXP_NEW;
        else
            exp_strategy[blk] = EXP_REUSE;
    }

    /* now select the encoding strategy type : if exponents are often
       recoded, we use a coarse encoding */
    blk = 0;
    while (blk < AC3_MAX_BLOCKS) {
        blk1 = blk + 1;
        while (blk1 < AC3_MAX_BLOCKS && exp_strategy[blk1] == EXP_REUSE)
            blk1++;
        switch (blk1 - blk) {
        case 1:  exp_strategy[blk] = EXP_D45; break;
        case 2:
        case 3:  exp_strategy[blk] = EXP_D25; break;
        default: exp_strategy[blk] = EXP_D15; break;
        }
        blk = blk1;
    }
}


/**
 * Calculate exponent strategies for all channels.
 * Array arrangement is reversed to simplify the per-channel calculation.
 */
static void compute_exp_strategy(AC3EncodeContext *s,
                                 uint8_t exp_strategy[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS],
                                 uint8_t exp[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_MAX_COEFS])
{
    uint8_t *exp1[AC3_MAX_CHANNELS][AC3_MAX_BLOCKS];
    uint8_t exp_str1[AC3_MAX_CHANNELS][AC3_MAX_BLOCKS];
    int ch, blk;

    for (ch = 0; ch < s->fbw_channels; ch++) {
        for (blk = 0; blk < AC3_MAX_BLOCKS; blk++) {
            exp1[ch][blk]     = exp[blk][ch];
            exp_str1[ch][blk] = exp_strategy[blk][ch];
        }

        compute_exp_strategy_ch(exp_str1[ch], exp1[ch]);

        for (blk = 0; blk < AC3_MAX_BLOCKS; blk++)
            exp_strategy[blk][ch] = exp_str1[ch][blk];
    }
    if (s->lfe_on) {
        ch = s->lfe_channel;
        exp_strategy[0][ch] = EXP_D15;
        for (blk = 1; blk < 5; blk++)
            exp_strategy[blk][ch] = EXP_REUSE;
    }
}


/**
 * Set each encoded exponent in a block to the minimum of itself and the
 * exponent in the same frequency bin of a following block.
 * exp[i] = min(exp[i], exp1[i]
 */
static void exponent_min(uint8_t exp[AC3_MAX_COEFS], uint8_t exp1[AC3_MAX_COEFS], int n)
{
    int i;
    for (i = 0; i < n; i++) {
        if (exp1[i] < exp[i])
            exp[i] = exp1[i];
    }
}


/**
 * Update the exponents so that they are the ones the decoder will decode.
 */
static void encode_exponents_blk_ch(uint8_t encoded_exp[AC3_MAX_COEFS],
                                    uint8_t exp[AC3_MAX_COEFS],
                                    int nb_exps, int exp_strategy,
                                    uint8_t *num_exp_groups)
{
    int group_size, nb_groups, i, j, k, exp_min;
    uint8_t exp1[AC3_MAX_COEFS];

    group_size = exp_strategy + (exp_strategy == EXP_D45);
    *num_exp_groups = (nb_exps + (group_size * 3) - 4) / (3 * group_size);
    nb_groups = *num_exp_groups * 3;

    /* for each group, compute the minimum exponent */
    exp1[0] = exp[0]; /* DC exponent is handled separately */
    k = 1;
    for (i = 1; i <= nb_groups; i++) {
        exp_min = exp[k];
        assert(exp_min >= 0 && exp_min <= 24);
        for (j = 1; j < group_size; j++) {
            if (exp[k+j] < exp_min)
                exp_min = exp[k+j];
        }
        exp1[i] = exp_min;
        k += group_size;
    }

    /* constraint for DC exponent */
    if (exp1[0] > 15)
        exp1[0] = 15;

    /* decrease the delta between each groups to within 2 so that they can be
       differentially encoded */
    for (i = 1; i <= nb_groups; i++)
        exp1[i] = FFMIN(exp1[i], exp1[i-1] + 2);
    for (i = nb_groups-1; i >= 0; i--)
        exp1[i] = FFMIN(exp1[i], exp1[i+1] + 2);

    /* now we have the exponent values the decoder will see */
    encoded_exp[0] = exp1[0];
    k = 1;
    for (i = 1; i <= nb_groups; i++) {
        for (j = 0; j < group_size; j++)
            encoded_exp[k+j] = exp1[i];
        k += group_size;
    }
}


/**
 * Encode exponents from original extracted form to what the decoder will see.
 * This copies and groups exponents based on exponent strategy and reduces
 * deltas between adjacent exponent groups so that they can be differentially
 * encoded.
 */
static void encode_exponents(AC3EncodeContext *s,
                             uint8_t exp[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_MAX_COEFS],
                             uint8_t exp_strategy[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS],
                             uint8_t num_exp_groups[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS],
                             uint8_t encoded_exp[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_MAX_COEFS])
{
    int blk, blk1, blk2, ch;

    for (ch = 0; ch < s->channels; ch++) {
        /* for the EXP_REUSE case we select the min of the exponents */
        blk = 0;
        while (blk < AC3_MAX_BLOCKS) {
            blk1 = blk + 1;
            while (blk1 < AC3_MAX_BLOCKS && exp_strategy[blk1][ch] == EXP_REUSE) {
                exponent_min(exp[blk][ch], exp[blk1][ch], s->nb_coefs[ch]);
                blk1++;
            }
            encode_exponents_blk_ch(encoded_exp[blk][ch],
                                    exp[blk][ch], s->nb_coefs[ch],
                                    exp_strategy[blk][ch],
                                    &num_exp_groups[blk][ch]);
            /* copy encoded exponents for reuse case */
            for (blk2 = blk+1; blk2 < blk1; blk2++) {
                memcpy(encoded_exp[blk2][ch], encoded_exp[blk][ch],
                       s->nb_coefs[ch] * sizeof(uint8_t));
            }
            blk = blk1;
        }
    }
}


/**
 * Group exponents.
 * 3 delta-encoded exponents are in each 7-bit group. The number of groups
 * varies depending on exponent strategy and bandwidth.
 * @return bits needed to encode the exponents
 */
static int group_exponents(AC3EncodeContext *s,
                           uint8_t encoded_exp[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_MAX_COEFS],
                           uint8_t exp_strategy[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS],
                           uint8_t num_exp_groups[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS],
                           uint8_t grouped_exp[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_MAX_EXP_GROUPS])
{
    int blk, ch, i;
    int group_size, bit_count;
    uint8_t *p;
    int delta0, delta1, delta2;
    int exp0, exp1;

    bit_count = 0;
    for (blk = 0; blk < AC3_MAX_BLOCKS; blk++) {
        for (ch = 0; ch < s->channels; ch++) {
            if (exp_strategy[blk][ch] == EXP_REUSE) {
                num_exp_groups[blk][ch] = 0;
                continue;
            }
            group_size = exp_strategy[blk][ch] + (exp_strategy[blk][ch] == EXP_D45);
            bit_count += 4 + (num_exp_groups[blk][ch] * 7);
            p = encoded_exp[blk][ch];

            /* DC exponent */
            exp1 = *p++;
            grouped_exp[blk][ch][0] = exp1;

            /* remaining exponents are delta encoded */
            for (i = 1; i <= num_exp_groups[blk][ch]; i++) {
                /* merge three delta in one code */
                exp0   = exp1;
                exp1   = p[0];
                p     += group_size;
                delta0 = exp1 - exp0 + 2;

                exp0   = exp1;
                exp1   = p[0];
                p     += group_size;
                delta1 = exp1 - exp0 + 2;

                exp0   = exp1;
                exp1   = p[0];
                p     += group_size;
                delta2 = exp1 - exp0 + 2;

                grouped_exp[blk][ch][i] = ((delta0 * 5 + delta1) * 5) + delta2;
            }
        }
    }

    return bit_count;
}


/**
 * Calculate final exponents from the supplied MDCT coefficients and exponent shift.
 * Extract exponents from MDCT coefficients, calculate exponent strategies,
 * and encode final exponents.
 * @return bits needed to encode the exponents
 */
static int process_exponents(AC3EncodeContext *s,
                             int32_t mdct_coef[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_MAX_COEFS],
                             int8_t exp_shift[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS],
                             uint8_t exp[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_MAX_COEFS],
                             uint8_t exp_strategy[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS],
                             uint8_t encoded_exp[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_MAX_COEFS],
                             uint8_t num_exp_groups[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS],
                             uint8_t grouped_exp[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_MAX_EXP_GROUPS])
{
    extract_exponents(s, mdct_coef, exp_shift, exp);

    compute_exp_strategy(s, exp_strategy, exp);

    encode_exponents(s, exp, exp_strategy, num_exp_groups, encoded_exp);

    return group_exponents(s, encoded_exp, exp_strategy, num_exp_groups, grouped_exp);
}


/**
 * Initialize bit allocation.
 * Set default parameter codes and calculate parameter values.
 */
static void bit_alloc_init(AC3EncodeContext *s)
{
    int ch;

    /* init default parameters */
    s->slow_decay_code = 2;
    s->fast_decay_code = 1;
    s->slow_gain_code  = 1;
    s->db_per_bit_code = 2;
    s->floor_code      = 4;
    for (ch = 0; ch < s->channels; ch++)
        s->fast_gain_code[ch] = 4;

    /* initial snr offset */
    s->coarse_snr_offset = 40;

    /* compute real values */
    /* currently none of these values change during encoding, so we can just
       set them once at initialization */
    s->bit_alloc.slow_decay = ff_ac3_slow_decay_tab[s->slow_decay_code] >> s->bit_alloc.sr_shift;
    s->bit_alloc.fast_decay = ff_ac3_fast_decay_tab[s->fast_decay_code] >> s->bit_alloc.sr_shift;
    s->bit_alloc.slow_gain  = ff_ac3_slow_gain_tab[s->slow_gain_code];
    s->bit_alloc.db_per_bit = ff_ac3_db_per_bit_tab[s->db_per_bit_code];
    s->bit_alloc.floor      = ff_ac3_floor_tab[s->floor_code];
}


/**
 * Count the bits used to encode the frame, minus exponents and mantissas.
 * @return bit count
 */
static int count_frame_bits(AC3EncodeContext *s,
                            uint8_t exp_strategy[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS])
{
    static const int frame_bits_inc[8] = { 0, 0, 2, 2, 2, 4, 2, 4 };
    int blk, ch;
    int frame_bits;

    /* header size */
    frame_bits = 65;
    frame_bits += frame_bits_inc[s->channel_mode];

    /* audio blocks */
    for (blk = 0; blk < AC3_MAX_BLOCKS; blk++) {
        frame_bits += s->fbw_channels * 2 + 2; /* blksw * c, dithflag * c, dynrnge, cplstre */
        if (s->channel_mode == AC3_CHMODE_STEREO) {
            frame_bits++; /* rematstr */
            if (!blk)
                frame_bits += 4;
        }
        frame_bits += 2 * s->fbw_channels; /* chexpstr[2] * c */
        if (s->lfe_on)
            frame_bits++; /* lfeexpstr */
        for (ch = 0; ch < s->fbw_channels; ch++) {
            if (exp_strategy[blk][ch] != EXP_REUSE)
                frame_bits += 6 + 2; /* chbwcod[6], gainrng[2] */
        }
        frame_bits++; /* baie */
        frame_bits++; /* snr */
        frame_bits += 2; /* delta / skip */
    }
    frame_bits++; /* cplinu for block 0 */
    /* bit alloc info */
    /* sdcycod[2], fdcycod[2], sgaincod[2], dbpbcod[2], floorcod[3] */
    /* csnroffset[6] */
    /* (fsnoffset[4] + fgaincod[4]) * c */
    frame_bits += 2*4 + 3 + 6 + s->channels * (4 + 3);

    /* auxdatae, crcrsv */
    frame_bits += 2;

    /* CRC */
    frame_bits += 16;

    return frame_bits;
}


/**
 * Calculate the number of bits needed to encode a set of mantissas.
 */
static int compute_mantissa_size(AC3EncodeContext *s, uint8_t *m, int nb_coefs)
{
    int bits, mant, i;

    bits = 0;
    for (i = 0; i < nb_coefs; i++) {
        mant = m[i];
        switch (mant) {
        case 0:
            /* nothing */
            break;
        case 1:
            /* 3 mantissa in 5 bits */
            if (s->mant1_cnt == 0)
                bits += 5;
            if (++s->mant1_cnt == 3)
                s->mant1_cnt = 0;
            break;
        case 2:
            /* 3 mantissa in 7 bits */
            if (s->mant2_cnt == 0)
                bits += 7;
            if (++s->mant2_cnt == 3)
                s->mant2_cnt = 0;
            break;
        case 3:
            bits += 3;
            break;
        case 4:
            /* 2 mantissa in 7 bits */
            if (s->mant4_cnt == 0)
                bits += 7;
            if (++s->mant4_cnt == 2)
                s->mant4_cnt = 0;
            break;
        case 14:
            bits += 14;
            break;
        case 15:
            bits += 16;
            break;
        default:
            bits += mant - 1;
            break;
        }
    }
    return bits;
}


/**
 * Calculate masking curve based on the final exponents.
 * Also calculate the power spectral densities to use in future calculations.
 */
static void bit_alloc_masking(AC3EncodeContext *s,
                              uint8_t encoded_exp[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_MAX_COEFS],
                              uint8_t exp_strategy[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS],
                              int16_t psd[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_MAX_COEFS],
                              int16_t mask[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_CRITICAL_BANDS])
{
    int blk, ch;
    int16_t band_psd[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_CRITICAL_BANDS];

    for (blk = 0; blk < AC3_MAX_BLOCKS; blk++) {
        for (ch = 0; ch < s->channels; ch++) {
            if(exp_strategy[blk][ch] == EXP_REUSE) {
                memcpy(psd[blk][ch],  psd[blk-1][ch],  AC3_MAX_COEFS*sizeof(psd[0][0][0]));
                memcpy(mask[blk][ch], mask[blk-1][ch], AC3_CRITICAL_BANDS*sizeof(mask[0][0][0]));
            } else {
                ff_ac3_bit_alloc_calc_psd(encoded_exp[blk][ch], 0,
                                          s->nb_coefs[ch],
                                          psd[blk][ch], band_psd[blk][ch]);
                ff_ac3_bit_alloc_calc_mask(&s->bit_alloc, band_psd[blk][ch],
                                           0, s->nb_coefs[ch],
                                           ff_ac3_fast_gain_tab[s->fast_gain_code[ch]],
                                           ch == s->lfe_channel,
                                           DBA_NONE, 0, NULL, NULL, NULL,
                                           mask[blk][ch]);
            }
        }
    }
}


/**
 * Run the bit allocation with a given SNR offset.
 * This calculates the bit allocation pointers that will be used to determine
 * the quantization of each mantissa.
 * @return the number of remaining bits (positive or negative) if the given
 *         SNR offset is used to quantize the mantissas.
 */
static int bit_alloc(AC3EncodeContext *s,
                     int16_t mask[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_CRITICAL_BANDS],
                     int16_t psd[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_MAX_COEFS],
                     uint8_t bap[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_MAX_COEFS],
                     int frame_bits, int coarse_snr_offset, int fine_snr_offset)
{
    int blk, ch;
    int snr_offset;

    snr_offset = (((coarse_snr_offset - 15) << 4) + fine_snr_offset) << 2;

    for (blk = 0; blk < AC3_MAX_BLOCKS; blk++) {
        s->mant1_cnt = 0;
        s->mant2_cnt = 0;
        s->mant4_cnt = 0;
        for (ch = 0; ch < s->channels; ch++) {
            ff_ac3_bit_alloc_calc_bap(mask[blk][ch], psd[blk][ch], 0,
                                      s->nb_coefs[ch], snr_offset,
                                      s->bit_alloc.floor, ff_ac3_bap_tab,
                                      bap[blk][ch]);
            frame_bits += compute_mantissa_size(s, bap[blk][ch], s->nb_coefs[ch]);
        }
    }
    return 8 * s->frame_size - frame_bits;
}


#define SNR_INC1 4

/**
 * Perform bit allocation search.
 * Finds the SNR offset value that maximizes quality and fits in the specified
 * frame size.  Output is the SNR offset and a set of bit allocation pointers
 * used to quantize the mantissas.
 */
static int compute_bit_allocation(AC3EncodeContext *s,
                                  uint8_t bap[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_MAX_COEFS],
                                  uint8_t encoded_exp[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_MAX_COEFS],
                                  uint8_t exp_strategy[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS],
                                  int frame_bits)
{
    int ch;
    int coarse_snr_offset, fine_snr_offset;
    uint8_t bap1[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_MAX_COEFS];
    int16_t psd[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_MAX_COEFS];
    int16_t mask[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_CRITICAL_BANDS];

    /* count frame bits other than exponents and mantissas */
    frame_bits += count_frame_bits(s, exp_strategy);

    /* calculate psd and masking curve before doing bit allocation */
    bit_alloc_masking(s, encoded_exp, exp_strategy, psd, mask);

    /* now the big work begins : do the bit allocation. Modify the snr
       offset until we can pack everything in the requested frame size */

    coarse_snr_offset = s->coarse_snr_offset;
    while (coarse_snr_offset >= 0 &&
           bit_alloc(s, mask, psd, bap, frame_bits, coarse_snr_offset, 0) < 0)
        coarse_snr_offset -= SNR_INC1;
    if (coarse_snr_offset < 0) {
        return AVERROR(EINVAL);
    }
    while (coarse_snr_offset + SNR_INC1 <= 63 &&
           bit_alloc(s, mask, psd, bap1, frame_bits,
                     coarse_snr_offset + SNR_INC1, 0) >= 0) {
        coarse_snr_offset += SNR_INC1;
        memcpy(bap, bap1, sizeof(bap1));
    }
    while (coarse_snr_offset + 1 <= 63 &&
           bit_alloc(s, mask, psd, bap1, frame_bits, coarse_snr_offset + 1, 0) >= 0) {
        coarse_snr_offset++;
        memcpy(bap, bap1, sizeof(bap1));
    }

    fine_snr_offset = 0;
    while (fine_snr_offset + SNR_INC1 <= 15 &&
           bit_alloc(s, mask, psd, bap1, frame_bits,
                     coarse_snr_offset, fine_snr_offset + SNR_INC1) >= 0) {
        fine_snr_offset += SNR_INC1;
        memcpy(bap, bap1, sizeof(bap1));
    }
    while (fine_snr_offset + 1 <= 15 &&
           bit_alloc(s, mask, psd, bap1, frame_bits,
                     coarse_snr_offset, fine_snr_offset + 1) >= 0) {
        fine_snr_offset++;
        memcpy(bap, bap1, sizeof(bap1));
    }

    s->coarse_snr_offset = coarse_snr_offset;
    for (ch = 0; ch < s->channels; ch++)
        s->fine_snr_offset[ch] = fine_snr_offset;

    return 0;
}


/**
 * Symmetric quantization on 'levels' levels.
 */
static inline int sym_quant(int c, int e, int levels)
{
    int v;

    if (c >= 0) {
        v = (levels * (c << e)) >> 24;
        v = (v + 1) >> 1;
        v = (levels >> 1) + v;
    } else {
        v = (levels * ((-c) << e)) >> 24;
        v = (v + 1) >> 1;
        v = (levels >> 1) - v;
    }
    assert (v >= 0 && v < levels);
    return v;
}


/**
 * Asymmetric quantization on 2^qbits levels.
 */
static inline int asym_quant(int c, int e, int qbits)
{
    int lshift, m, v;

    lshift = e + qbits - 24;
    if (lshift >= 0)
        v = c << lshift;
    else
        v = c >> (-lshift);
    /* rounding */
    v = (v + 1) >> 1;
    m = (1 << (qbits-1));
    if (v >= m)
        v = m - 1;
    assert(v >= -m);
    return v & ((1 << qbits)-1);
}


/**
 * Quantize a set of mantissas for a single channel in a single block.
 */
static void quantize_mantissas_blk_ch(AC3EncodeContext *s,
                                      int32_t *mdct_coef, int8_t exp_shift,
                                      uint8_t *encoded_exp, uint8_t *bap,
                                      uint16_t *qmant, int n)
{
    int i;

    for (i = 0; i < n; i++) {
        int v;
        int c = mdct_coef[i];
        int e = encoded_exp[i] - exp_shift;
        int b = bap[i];
        switch (b) {
        case 0:
            v = 0;
            break;
        case 1:
            v = sym_quant(c, e, 3);
            switch (s->mant1_cnt) {
            case 0:
                s->qmant1_ptr = &qmant[i];
                v = 9 * v;
                s->mant1_cnt = 1;
                break;
            case 1:
                *s->qmant1_ptr += 3 * v;
                s->mant1_cnt = 2;
                v = 128;
                break;
            default:
                *s->qmant1_ptr += v;
                s->mant1_cnt = 0;
                v = 128;
                break;
            }
            break;
        case 2:
            v = sym_quant(c, e, 5);
            switch (s->mant2_cnt) {
            case 0:
                s->qmant2_ptr = &qmant[i];
                v = 25 * v;
                s->mant2_cnt = 1;
                break;
            case 1:
                *s->qmant2_ptr += 5 * v;
                s->mant2_cnt = 2;
                v = 128;
                break;
            default:
                *s->qmant2_ptr += v;
                s->mant2_cnt = 0;
                v = 128;
                break;
            }
            break;
        case 3:
            v = sym_quant(c, e, 7);
            break;
        case 4:
            v = sym_quant(c, e, 11);
            switch (s->mant4_cnt) {
            case 0:
                s->qmant4_ptr = &qmant[i];
                v = 11 * v;
                s->mant4_cnt = 1;
                break;
            default:
                *s->qmant4_ptr += v;
                s->mant4_cnt = 0;
                v = 128;
                break;
            }
            break;
        case 5:
            v = sym_quant(c, e, 15);
            break;
        case 14:
            v = asym_quant(c, e, 14);
            break;
        case 15:
            v = asym_quant(c, e, 16);
            break;
        default:
            v = asym_quant(c, e, b - 1);
            break;
        }
        qmant[i] = v;
    }
}


/**
 * Quantize mantissas using coefficients, exponents, and bit allocation pointers.
 */
static void quantize_mantissas(AC3EncodeContext *s,
                               int32_t mdct_coef[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_MAX_COEFS],
                               int8_t exp_shift[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS],
                               uint8_t encoded_exp[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_MAX_COEFS],
                               uint8_t bap[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_MAX_COEFS],
                               uint16_t qmant[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_MAX_COEFS])
{
    int blk, ch;


    for (blk = 0; blk < AC3_MAX_BLOCKS; blk++) {
        s->mant1_cnt  = s->mant2_cnt  = s->mant4_cnt  = 0;
        s->qmant1_ptr = s->qmant2_ptr = s->qmant4_ptr = NULL;

        for (ch = 0; ch < s->channels; ch++) {
            quantize_mantissas_blk_ch(s, mdct_coef[blk][ch], exp_shift[blk][ch],
                                      encoded_exp[blk][ch], bap[blk][ch],
                                      qmant[blk][ch], s->nb_coefs[ch]);
        }
    }
}


/**
 * Write the AC-3 frame header to the output bitstream.
 */
static void output_frame_header(AC3EncodeContext *s)
{
    put_bits(&s->pb, 16, 0x0b77);   /* frame header */
    put_bits(&s->pb, 16, 0);        /* crc1: will be filled later */
    put_bits(&s->pb, 2,  s->bit_alloc.sr_code);
    put_bits(&s->pb, 6,  s->frame_size_code + (s->frame_size - s->frame_size_min) / 2);
    put_bits(&s->pb, 5,  s->bitstream_id);
    put_bits(&s->pb, 3,  s->bitstream_mode);
    put_bits(&s->pb, 3,  s->channel_mode);
    if ((s->channel_mode & 0x01) && s->channel_mode != AC3_CHMODE_MONO)
        put_bits(&s->pb, 2, 1);     /* XXX -4.5 dB */
    if (s->channel_mode & 0x04)
        put_bits(&s->pb, 2, 1);     /* XXX -6 dB */
    if (s->channel_mode == AC3_CHMODE_STEREO)
        put_bits(&s->pb, 2, 0);     /* surround not indicated */
    put_bits(&s->pb, 1, s->lfe_on); /* LFE */
    put_bits(&s->pb, 5, 31);        /* dialog norm: -31 db */
    put_bits(&s->pb, 1, 0);         /* no compression control word */
    put_bits(&s->pb, 1, 0);         /* no lang code */
    put_bits(&s->pb, 1, 0);         /* no audio production info */
    put_bits(&s->pb, 1, 0);         /* no copyright */
    put_bits(&s->pb, 1, 1);         /* original bitstream */
    put_bits(&s->pb, 1, 0);         /* no time code 1 */
    put_bits(&s->pb, 1, 0);         /* no time code 2 */
    put_bits(&s->pb, 1, 0);         /* no additional bit stream info */
}


/**
 * Write one audio block to the output bitstream.
 */
static void output_audio_block(AC3EncodeContext *s,
                               uint8_t exp_strategy[AC3_MAX_CHANNELS],
                               uint8_t num_exp_groups[AC3_MAX_CHANNELS],
                               uint8_t grouped_exp[AC3_MAX_CHANNELS][AC3_MAX_EXP_GROUPS],
                               uint8_t bap[AC3_MAX_CHANNELS][AC3_MAX_COEFS],
                               uint16_t qmant[AC3_MAX_CHANNELS][AC3_MAX_COEFS],
                               int block_num)
{
    int ch, i, baie, rbnd;

    for (ch = 0; ch < s->fbw_channels; ch++)
        put_bits(&s->pb, 1, 0); /* no block switching */
    for (ch = 0; ch < s->fbw_channels; ch++)
        put_bits(&s->pb, 1, 1); /* no dither */
    put_bits(&s->pb, 1, 0);     /* no dynamic range */
    if (!block_num) {
        put_bits(&s->pb, 1, 1); /* coupling strategy present */
        put_bits(&s->pb, 1, 0); /* no coupling strategy */
    } else {
        put_bits(&s->pb, 1, 0); /* no new coupling strategy */
    }

    if (s->channel_mode == AC3_CHMODE_STEREO) {
        if (!block_num) {
            /* first block must define rematrixing (rematstr) */
            put_bits(&s->pb, 1, 1);

            /* dummy rematrixing rematflg(1:4)=0 */
            for (rbnd = 0; rbnd < 4; rbnd++)
                put_bits(&s->pb, 1, 0);
        } else {
            /* no matrixing (but should be used in the future) */
            put_bits(&s->pb, 1, 0);
        }
    }

    /* exponent strategy */
    for (ch = 0; ch < s->fbw_channels; ch++)
        put_bits(&s->pb, 2, exp_strategy[ch]);

    if (s->lfe_on)
        put_bits(&s->pb, 1, exp_strategy[s->lfe_channel]);

    /* bandwidth */
    for (ch = 0; ch < s->fbw_channels; ch++) {
        if (exp_strategy[ch] != EXP_REUSE)
            put_bits(&s->pb, 6, s->bandwidth_code[ch]);
    }

    /* exponents */
    for (ch = 0; ch < s->channels; ch++) {
        if (exp_strategy[ch] == EXP_REUSE)
            continue;

        /* first exponent */
        put_bits(&s->pb, 4, grouped_exp[ch][0]);

        /* next ones are delta-encoded and grouped */
        for (i = 1; i <= num_exp_groups[ch]; i++)
            put_bits(&s->pb, 7, grouped_exp[ch][i]);

        if (ch != s->lfe_channel)
            put_bits(&s->pb, 2, 0); /* no gain range info */
    }

    /* bit allocation info */
    baie = (block_num == 0);
    put_bits(&s->pb, 1, baie);
    if (baie) {
        put_bits(&s->pb, 2, s->slow_decay_code);
        put_bits(&s->pb, 2, s->fast_decay_code);
        put_bits(&s->pb, 2, s->slow_gain_code);
        put_bits(&s->pb, 2, s->db_per_bit_code);
        put_bits(&s->pb, 3, s->floor_code);
    }

    /* snr offset */
    put_bits(&s->pb, 1, baie);
    if (baie) {
        put_bits(&s->pb, 6, s->coarse_snr_offset);
        for (ch = 0; ch < s->channels; ch++) {
            put_bits(&s->pb, 4, s->fine_snr_offset[ch]);
            put_bits(&s->pb, 3, s->fast_gain_code[ch]);
        }
    }

    put_bits(&s->pb, 1, 0); /* no delta bit allocation */
    put_bits(&s->pb, 1, 0); /* no data to skip */

    /* mantissa encoding */
    for (ch = 0; ch < s->channels; ch++) {
        int b, q;

        for (i = 0; i < s->nb_coefs[ch]; i++) {
            q = qmant[ch][i];
            b = bap[ch][i];
            switch (b) {
            case 0:                                         break;
            case 1: if (q != 128) put_bits(&s->pb,   5, q); break;
            case 2: if (q != 128) put_bits(&s->pb,   7, q); break;
            case 3:               put_bits(&s->pb,   3, q); break;
            case 4: if (q != 128) put_bits(&s->pb,   7, q); break;
            case 14:              put_bits(&s->pb,  14, q); break;
            case 15:              put_bits(&s->pb,  16, q); break;
            default:              put_bits(&s->pb, b-1, q); break;
            }
        }
    }
}


/** CRC-16 Polynomial */
#define CRC16_POLY ((1 << 0) | (1 << 2) | (1 << 15) | (1 << 16))


static unsigned int mul_poly(unsigned int a, unsigned int b, unsigned int poly)
{
    unsigned int c;

    c = 0;
    while (a) {
        if (a & 1)
            c ^= b;
        a = a >> 1;
        b = b << 1;
        if (b & (1 << 16))
            b ^= poly;
    }
    return c;
}


static unsigned int pow_poly(unsigned int a, unsigned int n, unsigned int poly)
{
    unsigned int r;
    r = 1;
    while (n) {
        if (n & 1)
            r = mul_poly(r, a, poly);
        a = mul_poly(a, a, poly);
        n >>= 1;
    }
    return r;
}


/**
 * Fill the end of the frame with 0's and compute the two CRCs.
 */
static void output_frame_end(AC3EncodeContext *s)
{
    int frame_size, frame_size_58, pad_bytes, crc1, crc2, crc_inv;
    uint8_t *frame;

    frame_size = s->frame_size; /* frame size in words */
    /* align to 8 bits */
    flush_put_bits(&s->pb);
    /* add zero bytes to reach the frame size */
    frame = s->pb.buf;
    pad_bytes = s->frame_size - (put_bits_ptr(&s->pb) - frame) - 2;
    assert(pad_bytes >= 0);
    if (pad_bytes > 0)
        memset(put_bits_ptr(&s->pb), 0, pad_bytes);

    /* Now we must compute both crcs : this is not so easy for crc1
       because it is at the beginning of the data... */
    frame_size_58 = ((frame_size >> 2) + (frame_size >> 4)) << 1;

    crc1 = av_bswap16(av_crc(av_crc_get_table(AV_CRC_16_ANSI), 0,
                             frame + 4, frame_size_58 - 4));

    /* XXX: could precompute crc_inv */
    crc_inv = pow_poly((CRC16_POLY >> 1), (8 * frame_size_58) - 16, CRC16_POLY);
    crc1    = mul_poly(crc_inv, crc1, CRC16_POLY);
    AV_WB16(frame + 2, crc1);

    crc2 = av_bswap16(av_crc(av_crc_get_table(AV_CRC_16_ANSI), 0,
                             frame + frame_size_58,
                             frame_size - frame_size_58 - 2));
    AV_WB16(frame + frame_size - 2, crc2);
}


/**
 * Write the frame to the output bitstream.
 */
static void output_frame(AC3EncodeContext *s,
                         unsigned char *frame,
                         uint8_t exp_strategy[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS],
                         uint8_t num_exp_groups[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS],
                         uint8_t grouped_exp[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_MAX_EXP_GROUPS],
                         uint8_t bap[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_MAX_COEFS],
                         uint16_t qmant[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_MAX_COEFS])
{
    int blk;

    init_put_bits(&s->pb, frame, AC3_MAX_CODED_FRAME_SIZE);

    output_frame_header(s);

    for (blk = 0; blk < AC3_MAX_BLOCKS; blk++) {
        output_audio_block(s, exp_strategy[blk], num_exp_groups[blk],
                           grouped_exp[blk], bap[blk], qmant[blk], blk);
    }

    output_frame_end(s);
}


/**
 * Encode a single AC-3 frame.
 */
static int ac3_encode_frame(AVCodecContext *avctx,
                            unsigned char *frame, int buf_size, void *data)
{
    AC3EncodeContext *s = avctx->priv_data;
    const int16_t *samples = data;
    int16_t planar_samples[AC3_MAX_CHANNELS][AC3_BLOCK_SIZE+AC3_FRAME_SIZE];
    int32_t mdct_coef[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_MAX_COEFS];
    uint8_t exp[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_MAX_COEFS];
    uint8_t exp_strategy[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS];
    uint8_t encoded_exp[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_MAX_COEFS];
    uint8_t num_exp_groups[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS];
    uint8_t grouped_exp[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_MAX_EXP_GROUPS];
    uint8_t bap[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_MAX_COEFS];
    int8_t exp_shift[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS];
    uint16_t qmant[AC3_MAX_BLOCKS][AC3_MAX_CHANNELS][AC3_MAX_COEFS];
    int frame_bits;
    int ret;

    if (s->bit_alloc.sr_code == 1)
        adjust_frame_size(s);

    deinterleave_input_samples(s, samples, planar_samples);

    apply_mdct(s, planar_samples, exp_shift, mdct_coef);

    frame_bits = process_exponents(s, mdct_coef, exp_shift, exp, exp_strategy,
                                   encoded_exp, num_exp_groups, grouped_exp);

    ret = compute_bit_allocation(s, bap, encoded_exp, exp_strategy, frame_bits);
    if (ret) {
        av_log(avctx, AV_LOG_ERROR, "Bit allocation failed. Try increasing the bitrate.\n");
        return ret;
    }

    quantize_mantissas(s, mdct_coef, exp_shift, encoded_exp, bap, qmant);

    output_frame(s, frame, exp_strategy, num_exp_groups, grouped_exp, bap, qmant);

    return s->frame_size;
}


/**
 * Finalize encoding and free any memory allocated by the encoder.
 */
static av_cold int ac3_encode_close(AVCodecContext *avctx)
{
    av_freep(&avctx->coded_frame);
    return 0;
}


/**
 * Set channel information during initialization.
 */
static av_cold int set_channel_info(AC3EncodeContext *s, int channels,
                                    int64_t *channel_layout)
{
    int ch_layout;

    if (channels < 1 || channels > AC3_MAX_CHANNELS)
        return AVERROR(EINVAL);
    if ((uint64_t)*channel_layout > 0x7FF)
        return AVERROR(EINVAL);
    ch_layout = *channel_layout;
    if (!ch_layout)
        ch_layout = avcodec_guess_channel_layout(channels, CODEC_ID_AC3, NULL);
    if (av_get_channel_layout_nb_channels(ch_layout) != channels)
        return AVERROR(EINVAL);

    s->lfe_on       = !!(ch_layout & AV_CH_LOW_FREQUENCY);
    s->channels     = channels;
    s->fbw_channels = channels - s->lfe_on;
    s->lfe_channel  = s->lfe_on ? s->fbw_channels : -1;
    if (s->lfe_on)
        ch_layout -= AV_CH_LOW_FREQUENCY;

    switch (ch_layout) {
    case AV_CH_LAYOUT_MONO:           s->channel_mode = AC3_CHMODE_MONO;   break;
    case AV_CH_LAYOUT_STEREO:         s->channel_mode = AC3_CHMODE_STEREO; break;
    case AV_CH_LAYOUT_SURROUND:       s->channel_mode = AC3_CHMODE_3F;     break;
    case AV_CH_LAYOUT_2_1:            s->channel_mode = AC3_CHMODE_2F1R;   break;
    case AV_CH_LAYOUT_4POINT0:        s->channel_mode = AC3_CHMODE_3F1R;   break;
    case AV_CH_LAYOUT_QUAD:
    case AV_CH_LAYOUT_2_2:            s->channel_mode = AC3_CHMODE_2F2R;   break;
    case AV_CH_LAYOUT_5POINT0:
    case AV_CH_LAYOUT_5POINT0_BACK:   s->channel_mode = AC3_CHMODE_3F2R;   break;
    default:
        return AVERROR(EINVAL);
    }

    s->channel_map  = ff_ac3_enc_channel_map[s->channel_mode][s->lfe_on];
    *channel_layout = ch_layout;
    if (s->lfe_on)
        *channel_layout |= AV_CH_LOW_FREQUENCY;

    return 0;
}


static av_cold int validate_options(AVCodecContext *avctx, AC3EncodeContext *s)
{
    int i, ret;

    /* validate channel layout */
    if (!avctx->channel_layout) {
        av_log(avctx, AV_LOG_WARNING, "No channel layout specified. The "
                                      "encoder will guess the layout, but it "
                                      "might be incorrect.\n");
    }
    ret = set_channel_info(s, avctx->channels, &avctx->channel_layout);
    if (ret) {
        av_log(avctx, AV_LOG_ERROR, "invalid channel layout\n");
        return ret;
    }

    /* validate sample rate */
    for (i = 0; i < 9; i++) {
        if ((ff_ac3_sample_rate_tab[i / 3] >> (i % 3)) == avctx->sample_rate)
            break;
    }
    if (i == 9) {
        av_log(avctx, AV_LOG_ERROR, "invalid sample rate\n");
        return AVERROR(EINVAL);
    }
    s->sample_rate        = avctx->sample_rate;
    s->bit_alloc.sr_shift = i % 3;
    s->bit_alloc.sr_code  = i / 3;

    /* validate bit rate */
    for (i = 0; i < 19; i++) {
        if ((ff_ac3_bitrate_tab[i] >> s->bit_alloc.sr_shift)*1000 == avctx->bit_rate)
            break;
    }
    if (i == 19) {
        av_log(avctx, AV_LOG_ERROR, "invalid bit rate\n");
        return AVERROR(EINVAL);
    }
    s->bit_rate        = avctx->bit_rate;
    s->frame_size_code = i << 1;

    return 0;
}


/**
 * Set bandwidth for all channels.
 * The user can optionally supply a cutoff frequency. Otherwise an appropriate
 * default value will be used.
 */
static av_cold void set_bandwidth(AC3EncodeContext *s, int cutoff)
{
    int ch, bw_code;

    if (cutoff) {
        /* calculate bandwidth based on user-specified cutoff frequency */
        int fbw_coeffs;
        cutoff         = av_clip(cutoff, 1, s->sample_rate >> 1);
        fbw_coeffs     = cutoff * 2 * AC3_MAX_COEFS / s->sample_rate;
        bw_code        = av_clip((fbw_coeffs - 73) / 3, 0, 60);
    } else {
        /* use default bandwidth setting */
        /* XXX: should compute the bandwidth according to the frame
           size, so that we avoid annoying high frequency artifacts */
        bw_code = 50;
    }

    /* set number of coefficients for each channel */
    for (ch = 0; ch < s->fbw_channels; ch++) {
        s->bandwidth_code[ch] = bw_code;
        s->nb_coefs[ch]       = bw_code * 3 + 73;
    }
    if (s->lfe_on)
        s->nb_coefs[s->lfe_channel] = 7; /* LFE channel always has 7 coefs */
}


/**
 * Initialize the encoder.
 */
static av_cold int ac3_encode_init(AVCodecContext *avctx)
{
    AC3EncodeContext *s = avctx->priv_data;
    int ret;

    avctx->frame_size = AC3_FRAME_SIZE;

    ac3_common_init();

    ret = validate_options(avctx, s);
    if (ret)
        return ret;

    s->bitstream_id   = 8 + s->bit_alloc.sr_shift;
    s->bitstream_mode = 0; /* complete main audio service */

    s->frame_size_min  = 2 * ff_ac3_frame_size_tab[s->frame_size_code][s->bit_alloc.sr_code];
    s->bits_written    = 0;
    s->samples_written = 0;
    s->frame_size      = s->frame_size_min;

    set_bandwidth(s, avctx->cutoff);

    bit_alloc_init(s);

    mdct_init(9);

    avctx->coded_frame= avcodec_alloc_frame();
    avctx->coded_frame->key_frame= 1;

    return 0;
}


#ifdef TEST
/*************************************************************************/
/* TEST */

#include "libavutil/lfg.h"

#define FN (MDCT_SAMPLES/4)


static void fft_test(AVLFG *lfg)
{
    IComplex in[FN], in1[FN];
    int k, n, i;
    float sum_re, sum_im, a;

    for (i = 0; i < FN; i++) {
        in[i].re = av_lfg_get(lfg) % 65535 - 32767;
        in[i].im = av_lfg_get(lfg) % 65535 - 32767;
        in1[i]   = in[i];
    }
    fft(in, 7);

    /* do it by hand */
    for (k = 0; k < FN; k++) {
        sum_re = 0;
        sum_im = 0;
        for (n = 0; n < FN; n++) {
            a = -2 * M_PI * (n * k) / FN;
            sum_re += in1[n].re * cos(a) - in1[n].im * sin(a);
            sum_im += in1[n].re * sin(a) + in1[n].im * cos(a);
        }
        av_log(NULL, AV_LOG_DEBUG, "%3d: %6d,%6d %6.0f,%6.0f\n",
               k, in[k].re, in[k].im, sum_re / FN, sum_im / FN);
    }
}


static void mdct_test(AVLFG *lfg)
{
    int16_t input[MDCT_SAMPLES];
    int32_t output[AC3_MAX_COEFS];
    float input1[MDCT_SAMPLES];
    float output1[AC3_MAX_COEFS];
    float s, a, err, e, emax;
    int i, k, n;

    for (i = 0; i < MDCT_SAMPLES; i++) {
        input[i]  = (av_lfg_get(lfg) % 65535 - 32767) * 9 / 10;
        input1[i] = input[i];
    }

    mdct512(output, input);

    /* do it by hand */
    for (k = 0; k < AC3_MAX_COEFS; k++) {
        s = 0;
        for (n = 0; n < MDCT_SAMPLES; n++) {
            a = (2*M_PI*(2*n+1+MDCT_SAMPLES/2)*(2*k+1) / (4 * MDCT_SAMPLES));
            s += input1[n] * cos(a);
        }
        output1[k] = -2 * s / MDCT_SAMPLES;
    }

    err  = 0;
    emax = 0;
    for (i = 0; i < AC3_MAX_COEFS; i++) {
        av_log(NULL, AV_LOG_DEBUG, "%3d: %7d %7.0f\n", i, output[i], output1[i]);
        e = output[i] - output1[i];
        if (e > emax)
            emax = e;
        err += e * e;
    }
    av_log(NULL, AV_LOG_DEBUG, "err2=%f emax=%f\n", err / AC3_MAX_COEFS, emax);
}


int main(void)
{
    AVLFG lfg;

    av_log_set_level(AV_LOG_DEBUG);
    mdct_init(9);

    fft_test(&lfg);
    mdct_test(&lfg);

    return 0;
}
#endif /* TEST */


AVCodec ac3_encoder = {
    "ac3",
    AVMEDIA_TYPE_AUDIO,
    CODEC_ID_AC3,
    sizeof(AC3EncodeContext),
    ac3_encode_init,
    ac3_encode_frame,
    ac3_encode_close,
    NULL,
    .sample_fmts = (const enum AVSampleFormat[]){AV_SAMPLE_FMT_S16,AV_SAMPLE_FMT_NONE},
    .long_name = NULL_IF_CONFIG_SMALL("ATSC A/52A (AC-3)"),
    .channel_layouts = (const int64_t[]){
        AV_CH_LAYOUT_MONO,
        AV_CH_LAYOUT_STEREO,
        AV_CH_LAYOUT_2_1,
        AV_CH_LAYOUT_SURROUND,
        AV_CH_LAYOUT_2_2,
        AV_CH_LAYOUT_QUAD,
        AV_CH_LAYOUT_4POINT0,
        AV_CH_LAYOUT_5POINT0,
        AV_CH_LAYOUT_5POINT0_BACK,
       (AV_CH_LAYOUT_MONO     | AV_CH_LOW_FREQUENCY),
       (AV_CH_LAYOUT_STEREO   | AV_CH_LOW_FREQUENCY),
       (AV_CH_LAYOUT_2_1      | AV_CH_LOW_FREQUENCY),
       (AV_CH_LAYOUT_SURROUND | AV_CH_LOW_FREQUENCY),
       (AV_CH_LAYOUT_2_2      | AV_CH_LOW_FREQUENCY),
       (AV_CH_LAYOUT_QUAD     | AV_CH_LOW_FREQUENCY),
       (AV_CH_LAYOUT_4POINT0  | AV_CH_LOW_FREQUENCY),
        AV_CH_LAYOUT_5POINT1,
        AV_CH_LAYOUT_5POINT1_BACK,
        0 },
};