ffmpeg/libavfilter/avf_showspectrum.c

/*
 * Copyright (c) 2012-2013 Clément Bœsch
 * Copyright (c) 2013 Rudolf Polzer <divverent@xonotic.org>
 * Copyright (c) 2015 Paul B Mahol
 *
 * 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
 * audio to spectrum (video) transmedia filter, based on ffplay rdft showmode
 * (by Michael Niedermayer) and lavfi/avf_showwaves (by Stefano Sabatini).
 */

#include <math.h>

#include "libavcodec/avfft.h"
#include "libavutil/audio_fifo.h"
#include "libavutil/avassert.h"
#include "libavutil/channel_layout.h"
#include "libavutil/opt.h"
#include "audio.h"
#include "video.h"
#include "avfilter.h"
#include "internal.h"
#include "window_func.h"

enum DisplayMode  { COMBINED, SEPARATE, NB_MODES };
enum DisplayScale { LINEAR, SQRT, CBRT, LOG, FOURTHRT, FIFTHRT, NB_SCALES };
enum ColorMode    { CHANNEL, INTENSITY, RAINBOW, MORELAND, NEBULAE, FIRE, FIERY, NB_CLMODES };
enum SlideMode    { REPLACE, SCROLL, FULLFRAME, RSCROLL, NB_SLIDES };
enum Orientation  { VERTICAL, HORIZONTAL, NB_ORIENTATIONS };

typedef struct {
    const AVClass *class;
    int w, h;
    AVFrame *outpicref;
    int nb_display_channels;
    int orientation;
    int channel_width;
    int channel_height;
    int sliding;                ///< 1 if sliding mode, 0 otherwise
    int mode;                   ///< channel display mode
    int color_mode;             ///< display color scheme
    int scale;
    float saturation;           ///< color saturation multiplier
    int xpos;                   ///< x position (current column)
    RDFTContext *rdft;          ///< Real Discrete Fourier Transform context
    int rdft_bits;              ///< number of bits (RDFT window size = 1<<rdft_bits)
    FFTSample **rdft_data;      ///< bins holder for each (displayed) channels
    float *window_func_lut;     ///< Window function LUT
    float **magnitudes;
    int win_func;
    int win_size;
    double win_scale;
    float overlap;
    int skip_samples;
    float *combine_buffer;      ///< color combining buffer (3 * h items)
    AVAudioFifo *fifo;
    int64_t pts;
    int single_pic;
} ShowSpectrumContext;

#define OFFSET(x) offsetof(ShowSpectrumContext, x)
#define FLAGS AV_OPT_FLAG_FILTERING_PARAM|AV_OPT_FLAG_VIDEO_PARAM

static const AVOption showspectrum_options[] = {
    { "size", "set video size", OFFSET(w), AV_OPT_TYPE_IMAGE_SIZE, {.str = "640x512"}, 0, 0, FLAGS },
    { "s",    "set video size", OFFSET(w), AV_OPT_TYPE_IMAGE_SIZE, {.str = "640x512"}, 0, 0, FLAGS },
    { "slide", "set sliding mode", OFFSET(sliding), AV_OPT_TYPE_INT, {.i64 = 0}, 0, NB_SLIDES-1, FLAGS, "slide" },
        { "replace", "replace old columns with new", 0, AV_OPT_TYPE_CONST, {.i64=REPLACE}, 0, 0, FLAGS, "slide" },
        { "scroll", "scroll from right to left", 0, AV_OPT_TYPE_CONST, {.i64=SCROLL}, 0, 0, FLAGS, "slide" },
        { "rscroll", "scroll from left to right", 0, AV_OPT_TYPE_CONST, {.i64=RSCROLL}, 0, 0, FLAGS, "slide" },
        { "fullframe", "return full frames", 0, AV_OPT_TYPE_CONST, {.i64=FULLFRAME}, 0, 0, FLAGS, "slide" },
    { "mode", "set channel display mode", OFFSET(mode), AV_OPT_TYPE_INT, {.i64=COMBINED}, COMBINED, NB_MODES-1, FLAGS, "mode" },
        { "combined", "combined mode", 0, AV_OPT_TYPE_CONST, {.i64=COMBINED}, 0, 0, FLAGS, "mode" },
        { "separate", "separate mode", 0, AV_OPT_TYPE_CONST, {.i64=SEPARATE}, 0, 0, FLAGS, "mode" },
    { "color", "set channel coloring", OFFSET(color_mode), AV_OPT_TYPE_INT, {.i64=CHANNEL}, CHANNEL, NB_CLMODES-1, FLAGS, "color" },
        { "channel",   "separate color for each channel", 0, AV_OPT_TYPE_CONST, {.i64=CHANNEL},   0, 0, FLAGS, "color" },
        { "intensity", "intensity based coloring",        0, AV_OPT_TYPE_CONST, {.i64=INTENSITY}, 0, 0, FLAGS, "color" },
        { "rainbow",   "rainbow based coloring",          0, AV_OPT_TYPE_CONST, {.i64=RAINBOW},   0, 0, FLAGS, "color" },
        { "moreland",  "moreland based coloring",         0, AV_OPT_TYPE_CONST, {.i64=MORELAND},  0, 0, FLAGS, "color" },
        { "nebulae",   "nebulae based coloring",          0, AV_OPT_TYPE_CONST, {.i64=NEBULAE},   0, 0, FLAGS, "color" },
        { "fire",      "fire based coloring",             0, AV_OPT_TYPE_CONST, {.i64=FIRE},      0, 0, FLAGS, "color" },
        { "fiery",     "fiery based coloring",            0, AV_OPT_TYPE_CONST, {.i64=FIERY},     0, 0, FLAGS, "color" },
    { "scale", "set display scale", OFFSET(scale), AV_OPT_TYPE_INT, {.i64=SQRT}, LINEAR, NB_SCALES-1, FLAGS, "scale" },
        { "sqrt", "square root", 0, AV_OPT_TYPE_CONST, {.i64=SQRT},   0, 0, FLAGS, "scale" },
        { "cbrt", "cubic root",  0, AV_OPT_TYPE_CONST, {.i64=CBRT},   0, 0, FLAGS, "scale" },
        { "4thrt","4th root",    0, AV_OPT_TYPE_CONST, {.i64=FOURTHRT}, 0, 0, FLAGS, "scale" },
        { "5thrt","5th root",    0, AV_OPT_TYPE_CONST, {.i64=FIFTHRT},  0, 0, FLAGS, "scale" },
        { "log",  "logarithmic", 0, AV_OPT_TYPE_CONST, {.i64=LOG},    0, 0, FLAGS, "scale" },
        { "lin",  "linear",      0, AV_OPT_TYPE_CONST, {.i64=LINEAR}, 0, 0, FLAGS, "scale" },
    { "saturation", "color saturation multiplier", OFFSET(saturation), AV_OPT_TYPE_FLOAT, {.dbl = 1}, -10, 10, FLAGS },
    { "win_func", "set window function", OFFSET(win_func), AV_OPT_TYPE_INT, {.i64 = WFUNC_HANNING}, 0, NB_WFUNC-1, FLAGS, "win_func" },
        { "rect",     "Rectangular",      0, AV_OPT_TYPE_CONST, {.i64=WFUNC_RECT},     0, 0, FLAGS, "win_func" },
        { "bartlett", "Bartlett",         0, AV_OPT_TYPE_CONST, {.i64=WFUNC_BARTLETT}, 0, 0, FLAGS, "win_func" },
        { "hann",     "Hann",             0, AV_OPT_TYPE_CONST, {.i64=WFUNC_HANNING},  0, 0, FLAGS, "win_func" },
        { "hanning",  "Hanning",          0, AV_OPT_TYPE_CONST, {.i64=WFUNC_HANNING},  0, 0, FLAGS, "win_func" },
        { "hamming",  "Hamming",          0, AV_OPT_TYPE_CONST, {.i64=WFUNC_HAMMING},  0, 0, FLAGS, "win_func" },
        { "blackman", "Blackman",         0, AV_OPT_TYPE_CONST, {.i64=WFUNC_BLACKMAN}, 0, 0, FLAGS, "win_func" },
        { "welch",    "Welch",            0, AV_OPT_TYPE_CONST, {.i64=WFUNC_WELCH},    0, 0, FLAGS, "win_func" },
        { "flattop",  "Flat-top",         0, AV_OPT_TYPE_CONST, {.i64=WFUNC_FLATTOP},  0, 0, FLAGS, "win_func" },
        { "bharris",  "Blackman-Harris",  0, AV_OPT_TYPE_CONST, {.i64=WFUNC_BHARRIS},  0, 0, FLAGS, "win_func" },
        { "bnuttall", "Blackman-Nuttall", 0, AV_OPT_TYPE_CONST, {.i64=WFUNC_BNUTTALL}, 0, 0, FLAGS, "win_func" },
        { "bhann",    "Bartlett-Hann",    0, AV_OPT_TYPE_CONST, {.i64=WFUNC_BHANN},    0, 0, FLAGS, "win_func" },
        { "sine",     "Sine",             0, AV_OPT_TYPE_CONST, {.i64=WFUNC_SINE},     0, 0, FLAGS, "win_func" },
        { "nuttall",  "Nuttall",          0, AV_OPT_TYPE_CONST, {.i64=WFUNC_NUTTALL},  0, 0, FLAGS, "win_func" },
        { "lanczos",  "Lanczos",          0, AV_OPT_TYPE_CONST, {.i64=WFUNC_LANCZOS},  0, 0, FLAGS, "win_func" },
        { "gauss",    "Gauss",            0, AV_OPT_TYPE_CONST, {.i64=WFUNC_GAUSS},    0, 0, FLAGS, "win_func" },
    { "orientation", "set orientation", OFFSET(orientation), AV_OPT_TYPE_INT, {.i64=VERTICAL}, 0, NB_ORIENTATIONS-1, FLAGS, "orientation" },
        { "vertical",   NULL, 0, AV_OPT_TYPE_CONST, {.i64=VERTICAL},   0, 0, FLAGS, "orientation" },
        { "horizontal", NULL, 0, AV_OPT_TYPE_CONST, {.i64=HORIZONTAL}, 0, 0, FLAGS, "orientation" },
    { "overlap", "set window overlap", OFFSET(overlap), AV_OPT_TYPE_FLOAT, {.dbl = 0}, 0, 1, FLAGS },
    { NULL }
};

AVFILTER_DEFINE_CLASS(showspectrum);

static const struct ColorTable {
    float a, y, u, v;
} color_table[][8] = {
    [INTENSITY] = {
    {    0,                  0,                  0,                   0 },
    { 0.13, .03587126228984074,  .1573300977624594, -.02548747583751842 },
    { 0.30, .18572281794568020,  .1772436246393981,  .17475554840414750 },
    { 0.60, .28184980583656130, -.1593064119945782,  .47132074554608920 },
    { 0.73, .65830621175547810, -.3716070802232764,  .24352759331252930 },
    { 0.78, .76318535758242900, -.4307467689263783,  .16866496622310430 },
    { 0.91, .95336363636363640, -.2045454545454546,  .03313636363636363 },
    {    1,                  1,                  0,                   0 }},
    [RAINBOW] = {
    {    0,                  0,                  0,                   0 },
    { 0.13,            44/256.,     (189-128)/256.,      (138-128)/256. },
    { 0.25,            29/256.,     (186-128)/256.,      (119-128)/256. },
    { 0.38,           119/256.,     (194-128)/256.,       (53-128)/256. },
    { 0.60,           111/256.,      (73-128)/256.,       (59-128)/256. },
    { 0.73,           205/256.,      (19-128)/256.,      (149-128)/256. },
    { 0.86,           135/256.,      (83-128)/256.,      (200-128)/256. },
    {    1,            73/256.,      (95-128)/256.,      (225-128)/256. }},
    [MORELAND] = {
    {    0,            44/256.,     (181-128)/256.,      (112-128)/256. },
    { 0.13,           126/256.,     (177-128)/256.,      (106-128)/256. },
    { 0.25,           164/256.,     (163-128)/256.,      (109-128)/256. },
    { 0.38,           200/256.,     (140-128)/256.,      (120-128)/256. },
    { 0.60,           201/256.,     (117-128)/256.,      (141-128)/256. },
    { 0.73,           177/256.,     (103-128)/256.,      (165-128)/256. },
    { 0.86,           136/256.,     (100-128)/256.,      (183-128)/256. },
    {    1,            68/256.,     (117-128)/256.,      (203-128)/256. }},
    [NEBULAE] = {
    {    0,            10/256.,     (134-128)/256.,      (132-128)/256. },
    { 0.23,            21/256.,     (137-128)/256.,      (130-128)/256. },
    { 0.45,            35/256.,     (134-128)/256.,      (134-128)/256. },
    { 0.57,            51/256.,     (130-128)/256.,      (139-128)/256. },
    { 0.67,           104/256.,     (116-128)/256.,      (162-128)/256. },
    { 0.77,           120/256.,     (105-128)/256.,      (188-128)/256. },
    { 0.87,           140/256.,     (105-128)/256.,      (188-128)/256. },
    {    1,                  1,                  0,                   0 }},
    [FIRE] = {
    {    0,                  0,                  0,                   0 },
    { 0.23,            44/256.,     (132-128)/256.,      (127-128)/256. },
    { 0.45,            62/256.,     (116-128)/256.,      (140-128)/256. },
    { 0.57,            75/256.,     (105-128)/256.,      (152-128)/256. },
    { 0.67,            95/256.,      (91-128)/256.,      (166-128)/256. },
    { 0.77,           126/256.,      (74-128)/256.,      (172-128)/256. },
    { 0.87,           164/256.,      (73-128)/256.,      (162-128)/256. },
    {    1,                  1,                  0,                   0 }},
    [FIERY] = {
    {    0,                  0,                  0,                   0 },
    { 0.23,            36/256.,     (116-128)/256.,      (163-128)/256. },
    { 0.45,            52/256.,     (102-128)/256.,      (200-128)/256. },
    { 0.57,           116/256.,      (84-128)/256.,      (196-128)/256. },
    { 0.67,           157/256.,      (67-128)/256.,      (181-128)/256. },
    { 0.77,           193/256.,      (40-128)/256.,      (155-128)/256. },
    { 0.87,           221/256.,     (101-128)/256.,      (134-128)/256. },
    {    1,                  1,                  0,                   0 }},
};

static av_cold void uninit(AVFilterContext *ctx)
{
    ShowSpectrumContext *s = ctx->priv;
    int i;

    av_freep(&s->combine_buffer);
    av_rdft_end(s->rdft);
    if (s->rdft_data) {
        for (i = 0; i < s->nb_display_channels; i++)
            av_freep(&s->rdft_data[i]);
    }
    av_freep(&s->rdft_data);
    av_freep(&s->window_func_lut);
    if (s->magnitudes) {
        for (i = 0; i < s->nb_display_channels; i++)
            av_freep(&s->magnitudes[i]);
    }
    av_freep(&s->magnitudes);
    av_frame_free(&s->outpicref);
    av_audio_fifo_free(s->fifo);
}

static int query_formats(AVFilterContext *ctx)
{
    AVFilterFormats *formats = NULL;
    AVFilterChannelLayouts *layouts = NULL;
    AVFilterLink *inlink = ctx->inputs[0];
    AVFilterLink *outlink = ctx->outputs[0];
    static const enum AVSampleFormat sample_fmts[] = { AV_SAMPLE_FMT_S16P, AV_SAMPLE_FMT_NONE };
    static const enum AVPixelFormat pix_fmts[] = { AV_PIX_FMT_YUVJ444P, AV_PIX_FMT_NONE };
    int ret;

    /* set input audio formats */
    formats = ff_make_format_list(sample_fmts);
    if ((ret = ff_formats_ref(formats, &inlink->out_formats)) < 0)
        return ret;

    layouts = ff_all_channel_layouts();
    if ((ret = ff_channel_layouts_ref(layouts, &inlink->out_channel_layouts)) < 0)
        return ret;

    formats = ff_all_samplerates();
    if ((ret = ff_formats_ref(formats, &inlink->out_samplerates)) < 0)
        return ret;

    /* set output video format */
    formats = ff_make_format_list(pix_fmts);
    if ((ret = ff_formats_ref(formats, &outlink->in_formats)) < 0)
        return ret;

    return 0;
}

static int config_output(AVFilterLink *outlink)
{
    AVFilterContext *ctx = outlink->src;
    AVFilterLink *inlink = ctx->inputs[0];
    ShowSpectrumContext *s = ctx->priv;
    int i, rdft_bits, h, w;
    float overlap;

    if (!strcmp(ctx->filter->name, "showspectrumpic"))
        s->single_pic = 1;

    outlink->w = s->w;
    outlink->h = s->h;

    h = (s->mode == COMBINED || s->orientation == HORIZONTAL) ? outlink->h : outlink->h / inlink->channels;
    w = (s->mode == COMBINED || s->orientation == VERTICAL)   ? outlink->w : outlink->w / inlink->channels;
    s->channel_height = h;
    s->channel_width  = w;

    if (s->orientation == VERTICAL) {
        /* RDFT window size (precision) according to the requested output frame height */
        for (rdft_bits = 1; 1 << rdft_bits < 2 * h; rdft_bits++);
    } else {
        /* RDFT window size (precision) according to the requested output frame width */
        for (rdft_bits = 1; 1 << rdft_bits < 2 * w; rdft_bits++);
    }
    s->win_size = 1 << rdft_bits;

    /* (re-)configuration if the video output changed (or first init) */
    if (rdft_bits != s->rdft_bits) {
        AVFrame *outpicref;

        av_rdft_end(s->rdft);
        s->rdft = av_rdft_init(rdft_bits, DFT_R2C);
        if (!s->rdft) {
            av_log(ctx, AV_LOG_ERROR, "Unable to create RDFT context. "
                   "The window size might be too high.\n");
            return AVERROR(EINVAL);
        }
        s->rdft_bits = rdft_bits;

        /* RDFT buffers: x2 for each (display) channel buffer.
         * Note: we use free and malloc instead of a realloc-like function to
         * make sure the buffer is aligned in memory for the FFT functions. */
        for (i = 0; i < s->nb_display_channels; i++)
            av_freep(&s->rdft_data[i]);
        av_freep(&s->rdft_data);
        s->nb_display_channels = inlink->channels;

        s->magnitudes = av_calloc(s->nb_display_channels, sizeof(*s->magnitudes));
        if (!s->magnitudes)
            return AVERROR(ENOMEM);
        for (i = 0; i < s->nb_display_channels; i++) {
            s->magnitudes[i] = av_calloc(s->orientation == VERTICAL ? s->h : s->w, sizeof(**s->magnitudes));
            if (!s->magnitudes[i])
                return AVERROR(ENOMEM);
        }

        s->rdft_data = av_calloc(s->nb_display_channels, sizeof(*s->rdft_data));
        if (!s->rdft_data)
            return AVERROR(ENOMEM);
        for (i = 0; i < s->nb_display_channels; i++) {
            s->rdft_data[i] = av_calloc(s->win_size, sizeof(**s->rdft_data));
            if (!s->rdft_data[i])
                return AVERROR(ENOMEM);
        }

        /* pre-calc windowing function */
        s->window_func_lut =
            av_realloc_f(s->window_func_lut, s->win_size,
                         sizeof(*s->window_func_lut));
        if (!s->window_func_lut)
            return AVERROR(ENOMEM);
        ff_generate_window_func(s->window_func_lut, s->win_size, s->win_func, &overlap);
        if (s->overlap == 1)
            s->overlap = overlap;
        s->skip_samples = (1. - s->overlap) * s->win_size;
        if (s->skip_samples < 1) {
            av_log(ctx, AV_LOG_ERROR, "overlap %f too big\n", s->overlap);
            return AVERROR(EINVAL);
        }

        for (s->win_scale = 0, i = 0; i < s->win_size; i++) {
            s->win_scale += s->window_func_lut[i] * s->window_func_lut[i];
        }
        s->win_scale = 1. / (sqrt(s->win_scale) * 32768.);

        /* prepare the initial picref buffer (black frame) */
        av_frame_free(&s->outpicref);
        s->outpicref = outpicref =
            ff_get_video_buffer(outlink, outlink->w, outlink->h);
        if (!outpicref)
            return AVERROR(ENOMEM);
        outlink->sample_aspect_ratio = (AVRational){1,1};
        for (i = 0; i < outlink->h; i++) {
            memset(outpicref->data[0] + i * outpicref->linesize[0],   0, outlink->w);
            memset(outpicref->data[1] + i * outpicref->linesize[1], 128, outlink->w);
            memset(outpicref->data[2] + i * outpicref->linesize[2], 128, outlink->w);
        }
    }

    if ((s->orientation == VERTICAL   && s->xpos >= outlink->w) ||
        (s->orientation == HORIZONTAL && s->xpos >= outlink->h))
        s->xpos = 0;

    outlink->frame_rate = av_make_q(inlink->sample_rate, s->win_size * (1.-s->overlap));
    if (s->orientation == VERTICAL && s->sliding == FULLFRAME)
        outlink->frame_rate.den *= outlink->w;
    if (s->orientation == HORIZONTAL && s->sliding == FULLFRAME)
        outlink->frame_rate.den *= outlink->h;

    if (s->orientation == VERTICAL) {
        s->combine_buffer =
            av_realloc_f(s->combine_buffer, outlink->h * 3,
                         sizeof(*s->combine_buffer));
    } else {
        s->combine_buffer =
            av_realloc_f(s->combine_buffer, outlink->w * 3,
                         sizeof(*s->combine_buffer));
    }

    av_log(ctx, AV_LOG_VERBOSE, "s:%dx%d RDFT window size:%d\n",
           s->w, s->h, s->win_size);

    av_audio_fifo_free(s->fifo);
    s->fifo = av_audio_fifo_alloc(inlink->format, inlink->channels, s->win_size);
    if (!s->fifo)
        return AVERROR(ENOMEM);
    return 0;
}

static void run_rdft(ShowSpectrumContext *s, AVFrame *fin)
{
    int ch, n;

    /* fill RDFT input with the number of samples available */
    for (ch = 0; ch < s->nb_display_channels; ch++) {
        const int16_t *p = (int16_t *)fin->extended_data[ch];

        for (n = 0; n < s->win_size; n++)
            s->rdft_data[ch][n] = p[n] * s->window_func_lut[n];
    }

    /* run RDFT on each samples set */
    for (ch = 0; ch < s->nb_display_channels; ch++)
        av_rdft_calc(s->rdft, s->rdft_data[ch]);
}

#define RE(y, ch) s->rdft_data[ch][2 * (y) + 0]
#define IM(y, ch) s->rdft_data[ch][2 * (y) + 1]
#define MAGNITUDE(y, ch) hypot(RE(y, ch), IM(y, ch))

static void calc_magnitudes(ShowSpectrumContext *s)
{
    int ch, y, h = s->orientation == VERTICAL ? s->h : s->w;

    for (ch = 0; ch < s->nb_display_channels; ch++) {
        float *magnitudes = s->magnitudes[ch];

        for (y = 0; y < h; y++)
            magnitudes[y] = MAGNITUDE(y, ch);
    }
}

static void acalc_magnitudes(ShowSpectrumContext *s)
{
    int ch, y, h = s->orientation == VERTICAL ? s->h : s->w;

    for (ch = 0; ch < s->nb_display_channels; ch++) {
        float *magnitudes = s->magnitudes[ch];

        for (y = 0; y < h; y++)
            magnitudes[y] += MAGNITUDE(y, ch);
    }
}

static void scale_magnitudes(ShowSpectrumContext *s, float scale)
{
    int ch, y, h = s->orientation == VERTICAL ? s->h : s->w;

    for (ch = 0; ch < s->nb_display_channels; ch++) {
        float *magnitudes = s->magnitudes[ch];

        for (y = 0; y < h; y++)
            magnitudes[y] *= scale;
    }
}

static void pick_color(ShowSpectrumContext *s,
                       float yf, float uf, float vf,
                       float a, float *out)
{
    if (s->color_mode > CHANNEL) {
        const int cm = s->color_mode;
        float y, u, v;
        int i;

        for (i = 1; i < FF_ARRAY_ELEMS(color_table[cm]) - 1; i++)
            if (color_table[cm][i].a >= a)
                break;
        // i now is the first item >= the color
        // now we know to interpolate between item i - 1 and i
        if (a <= color_table[cm][i - 1].a) {
            y = color_table[cm][i - 1].y;
            u = color_table[cm][i - 1].u;
            v = color_table[cm][i - 1].v;
        } else if (a >= color_table[cm][i].a) {
            y = color_table[cm][i].y;
            u = color_table[cm][i].u;
            v = color_table[cm][i].v;
        } else {
            float start = color_table[cm][i - 1].a;
            float end = color_table[cm][i].a;
            float lerpfrac = (a - start) / (end - start);
            y = color_table[cm][i - 1].y * (1.0f - lerpfrac)
              + color_table[cm][i].y * lerpfrac;
            u = color_table[cm][i - 1].u * (1.0f - lerpfrac)
              + color_table[cm][i].u * lerpfrac;
            v = color_table[cm][i - 1].v * (1.0f - lerpfrac)
              + color_table[cm][i].v * lerpfrac;
        }

        out[0] += y * yf;
        out[1] += u * uf;
        out[2] += v * vf;
    } else {
        out[0] += a * yf;
        out[1] += a * uf;
        out[2] += a * vf;
    }
}

static void clear_combine_buffer(ShowSpectrumContext *s, int size)
{
    int y;

    for (y = 0; y < size; y++) {
        s->combine_buffer[3 * y    ] = 0;
        s->combine_buffer[3 * y + 1] = 127.5;
        s->combine_buffer[3 * y + 2] = 127.5;
    }
}

static int plot_spectrum_column(AVFilterLink *inlink, AVFrame *insamples)
{
    int ret;
    AVFilterContext *ctx = inlink->dst;
    AVFilterLink *outlink = ctx->outputs[0];
    ShowSpectrumContext *s = ctx->priv;
    AVFrame *outpicref = s->outpicref;
    const double w = s->win_scale;
    int h = s->orientation == VERTICAL ? s->channel_height : s->channel_width;

    int ch, plane, x, y;

    /* fill a new spectrum column */
    /* initialize buffer for combining to black */
    clear_combine_buffer(s, s->orientation == VERTICAL ? outlink->h : outlink->w);

    for (ch = 0; ch < s->nb_display_channels; ch++) {
        float *magnitudes = s->magnitudes[ch];
        float yf, uf, vf;

        /* decide color range */
        switch (s->mode) {
        case COMBINED:
            // reduce range by channel count
            yf = 256.0f / s->nb_display_channels;
            switch (s->color_mode) {
            case RAINBOW:
            case MORELAND:
            case NEBULAE:
            case FIRE:
            case FIERY:
            case INTENSITY:
                uf = yf;
                vf = yf;
                break;
            case CHANNEL:
                /* adjust saturation for mixed UV coloring */
                /* this factor is correct for infinite channels, an approximation otherwise */
                uf = yf * M_PI;
                vf = yf * M_PI;
                break;
            default:
                av_assert0(0);
            }
            break;
        case SEPARATE:
            // full range
            yf = 256.0f;
            uf = 256.0f;
            vf = 256.0f;
            break;
        default:
            av_assert0(0);
        }

        if (s->color_mode == CHANNEL) {
            if (s->nb_display_channels > 1) {
                uf *= 0.5 * sin((2 * M_PI * ch) / s->nb_display_channels);
                vf *= 0.5 * cos((2 * M_PI * ch) / s->nb_display_channels);
            } else {
                uf = 0.0f;
                vf = 0.0f;
            }
        }
        uf *= s->saturation;
        vf *= s->saturation;

        /* draw the channel */
        for (y = 0; y < h; y++) {
            int row = (s->mode == COMBINED) ? y : ch * h + y;
            float *out = &s->combine_buffer[3 * row];

            /* get magnitude */
            float a = w * magnitudes[y];

            /* apply scale */
            switch (s->scale) {
            case LINEAR:
                break;
            case SQRT:
                a = sqrt(a);
                break;
            case CBRT:
                a = cbrt(a);
                break;
            case FOURTHRT:
                a = pow(a, 0.25);
                break;
            case FIFTHRT:
                a = pow(a, 0.20);
                break;
            case LOG:
                a = 1 + log10(FFMAX(FFMIN(1, a), 1e-6)) / 5; // zero = -120dBFS
                break;
            default:
                av_assert0(0);
            }

            pick_color(s, yf, uf, vf, a, out);
        }
    }

    av_frame_make_writable(s->outpicref);
    /* copy to output */
    if (s->orientation == VERTICAL) {
        if (s->sliding == SCROLL) {
            for (plane = 0; plane < 3; plane++) {
                for (y = 0; y < outlink->h; y++) {
                    uint8_t *p = outpicref->data[plane] +
                                 y * outpicref->linesize[plane];
                    memmove(p, p + 1, outlink->w - 1);
                }
            }
            s->xpos = outlink->w - 1;
        } else if (s->sliding == RSCROLL) {
            for (plane = 0; plane < 3; plane++) {
                for (y = 0; y < outlink->h; y++) {
                    uint8_t *p = outpicref->data[plane] +
                                 y * outpicref->linesize[plane];
                    memmove(p + 1, p, outlink->w - 1);
                }
            }
            s->xpos = 0;
        }
        for (plane = 0; plane < 3; plane++) {
            uint8_t *p = outpicref->data[plane] +
                         (outlink->h - 1) * outpicref->linesize[plane] +
                         s->xpos;
            for (y = 0; y < outlink->h; y++) {
                *p = lrint(FFMAX(0, FFMIN(s->combine_buffer[3 * y + plane], 255)));
                p -= outpicref->linesize[plane];
            }
        }
    } else {
        if (s->sliding == SCROLL) {
            for (plane = 0; plane < 3; plane++) {
                for (y = 1; y < outlink->h; y++) {
                    memmove(outpicref->data[plane] + (y-1) * outpicref->linesize[plane],
                            outpicref->data[plane] + (y  ) * outpicref->linesize[plane],
                            outlink->w);
                }
            }
            s->xpos = outlink->h - 1;
        } else if (s->sliding == RSCROLL) {
            for (plane = 0; plane < 3; plane++) {
                for (y = outlink->h - 1; y >= 1; y--) {
                    memmove(outpicref->data[plane] + (y  ) * outpicref->linesize[plane],
                            outpicref->data[plane] + (y-1) * outpicref->linesize[plane],
                            outlink->w);
                }
            }
            s->xpos = 0;
        }
        for (plane = 0; plane < 3; plane++) {
            uint8_t *p = outpicref->data[plane] +
                         s->xpos * outpicref->linesize[plane];
            for (x = 0; x < outlink->w; x++) {
                *p = lrint(FFMAX(0, FFMIN(s->combine_buffer[3 * x + plane], 255)));
                p++;
            }
        }
    }

    if (s->sliding != FULLFRAME || s->xpos == 0)
        outpicref->pts = insamples->pts;

    s->xpos++;
    if (s->orientation == VERTICAL && s->xpos >= outlink->w)
        s->xpos = 0;
    if (s->orientation == HORIZONTAL && s->xpos >= outlink->h)
        s->xpos = 0;
    if (!s->single_pic && (s->sliding != FULLFRAME || s->xpos == 0)) {
        ret = ff_filter_frame(outlink, av_frame_clone(s->outpicref));
        if (ret < 0)
            return ret;
    }

    return s->win_size;
}

#if CONFIG_SHOWSPECTRUM_FILTER

static int request_frame(AVFilterLink *outlink)
{
    ShowSpectrumContext *s = outlink->src->priv;
    AVFilterLink *inlink = outlink->src->inputs[0];
    unsigned i;
    int ret;

    ret = ff_request_frame(inlink);
    if (ret == AVERROR_EOF && s->sliding == FULLFRAME && s->xpos > 0 &&
        s->outpicref) {
        if (s->orientation == VERTICAL) {
            for (i = 0; i < outlink->h; i++) {
                memset(s->outpicref->data[0] + i * s->outpicref->linesize[0] + s->xpos,   0, outlink->w - s->xpos);
                memset(s->outpicref->data[1] + i * s->outpicref->linesize[1] + s->xpos, 128, outlink->w - s->xpos);
                memset(s->outpicref->data[2] + i * s->outpicref->linesize[2] + s->xpos, 128, outlink->w - s->xpos);
            }
        } else {
            for (i = s->xpos; i < outlink->h; i++) {
                memset(s->outpicref->data[0] + i * s->outpicref->linesize[0],   0, outlink->w);
                memset(s->outpicref->data[1] + i * s->outpicref->linesize[1], 128, outlink->w);
                memset(s->outpicref->data[2] + i * s->outpicref->linesize[2], 128, outlink->w);
            }
        }
        ret = ff_filter_frame(outlink, s->outpicref);
        s->outpicref = NULL;
    }

    return ret;
}

static int filter_frame(AVFilterLink *inlink, AVFrame *insamples)
{
    AVFilterContext *ctx = inlink->dst;
    ShowSpectrumContext *s = ctx->priv;
    AVFrame *fin = NULL;
    int ret = 0;

    av_audio_fifo_write(s->fifo, (void **)insamples->extended_data, insamples->nb_samples);
    av_frame_free(&insamples);
    while (av_audio_fifo_size(s->fifo) >= s->win_size) {
        fin = ff_get_audio_buffer(inlink, s->win_size);
        if (!fin) {
            ret = AVERROR(ENOMEM);
            goto fail;
        }

        fin->pts = s->pts;
        s->pts += s->skip_samples;
        ret = av_audio_fifo_peek(s->fifo, (void **)fin->extended_data, s->win_size);
        if (ret < 0)
            goto fail;

        av_assert0(fin->nb_samples == s->win_size);

        run_rdft(s, fin);
        calc_magnitudes(s);

        ret = plot_spectrum_column(inlink, fin);
        av_frame_free(&fin);
        av_audio_fifo_drain(s->fifo, s->skip_samples);
        if (ret < 0)
            goto fail;
    }

fail:
    av_frame_free(&fin);
    return ret;
}

static const AVFilterPad showspectrum_inputs[] = {
    {
        .name         = "default",
        .type         = AVMEDIA_TYPE_AUDIO,
        .filter_frame = filter_frame,
    },
    { NULL }
};

static const AVFilterPad showspectrum_outputs[] = {
    {
        .name          = "default",
        .type          = AVMEDIA_TYPE_VIDEO,
        .config_props  = config_output,
        .request_frame = request_frame,
    },
    { NULL }
};

AVFilter ff_avf_showspectrum = {
    .name          = "showspectrum",
    .description   = NULL_IF_CONFIG_SMALL("Convert input audio to a spectrum video output."),
    .uninit        = uninit,
    .query_formats = query_formats,
    .priv_size     = sizeof(ShowSpectrumContext),
    .inputs        = showspectrum_inputs,
    .outputs       = showspectrum_outputs,
    .priv_class    = &showspectrum_class,
};
#endif // CONFIG_SHOWSPECTRUM_FILTER

#if CONFIG_SHOWSPECTRUMPIC_FILTER

static const AVOption showspectrumpic_options[] = {
    { "size", "set video size", OFFSET(w), AV_OPT_TYPE_IMAGE_SIZE, {.str = "4096x2048"}, 0, 0, FLAGS },
    { "s",    "set video size", OFFSET(w), AV_OPT_TYPE_IMAGE_SIZE, {.str = "4096x2048"}, 0, 0, FLAGS },
    { "mode", "set channel display mode", OFFSET(mode), AV_OPT_TYPE_INT, {.i64=COMBINED}, 0, NB_MODES-1, FLAGS, "mode" },
        { "combined", "combined mode", 0, AV_OPT_TYPE_CONST, {.i64=COMBINED}, 0, 0, FLAGS, "mode" },
        { "separate", "separate mode", 0, AV_OPT_TYPE_CONST, {.i64=SEPARATE}, 0, 0, FLAGS, "mode" },
    { "color", "set channel coloring", OFFSET(color_mode), AV_OPT_TYPE_INT, {.i64=INTENSITY}, 0, NB_CLMODES-1, FLAGS, "color" },
        { "channel",   "separate color for each channel", 0, AV_OPT_TYPE_CONST, {.i64=CHANNEL},   0, 0, FLAGS, "color" },
        { "intensity", "intensity based coloring",        0, AV_OPT_TYPE_CONST, {.i64=INTENSITY}, 0, 0, FLAGS, "color" },
        { "rainbow",   "rainbow based coloring",          0, AV_OPT_TYPE_CONST, {.i64=RAINBOW},   0, 0, FLAGS, "color" },
        { "moreland",  "moreland based coloring",         0, AV_OPT_TYPE_CONST, {.i64=MORELAND},  0, 0, FLAGS, "color" },
        { "nebulae",   "nebulae based coloring",          0, AV_OPT_TYPE_CONST, {.i64=NEBULAE},   0, 0, FLAGS, "color" },
        { "fire",      "fire based coloring",             0, AV_OPT_TYPE_CONST, {.i64=FIRE},      0, 0, FLAGS, "color" },
        { "fiery",     "fiery based coloring",            0, AV_OPT_TYPE_CONST, {.i64=FIERY},     0, 0, FLAGS, "color" },
    { "scale", "set display scale", OFFSET(scale), AV_OPT_TYPE_INT, {.i64=LOG}, 0, NB_SCALES-1, FLAGS, "scale" },
        { "sqrt", "square root", 0, AV_OPT_TYPE_CONST, {.i64=SQRT},   0, 0, FLAGS, "scale" },
        { "cbrt", "cubic root",  0, AV_OPT_TYPE_CONST, {.i64=CBRT},   0, 0, FLAGS, "scale" },
        { "4thrt","4th root",    0, AV_OPT_TYPE_CONST, {.i64=FOURTHRT}, 0, 0, FLAGS, "scale" },
        { "5thrt","5th root",    0, AV_OPT_TYPE_CONST, {.i64=FIFTHRT},  0, 0, FLAGS, "scale" },
        { "log",  "logarithmic", 0, AV_OPT_TYPE_CONST, {.i64=LOG},    0, 0, FLAGS, "scale" },
        { "lin",  "linear",      0, AV_OPT_TYPE_CONST, {.i64=LINEAR}, 0, 0, FLAGS, "scale" },
    { "saturation", "color saturation multiplier", OFFSET(saturation), AV_OPT_TYPE_FLOAT, {.dbl = 1}, -10, 10, FLAGS },
    { "win_func", "set window function", OFFSET(win_func), AV_OPT_TYPE_INT, {.i64 = WFUNC_HANNING}, 0, NB_WFUNC-1, FLAGS, "win_func" },
        { "rect",     "Rectangular",      0, AV_OPT_TYPE_CONST, {.i64=WFUNC_RECT},     0, 0, FLAGS, "win_func" },
        { "bartlett", "Bartlett",         0, AV_OPT_TYPE_CONST, {.i64=WFUNC_BARTLETT}, 0, 0, FLAGS, "win_func" },
        { "hann",     "Hann",             0, AV_OPT_TYPE_CONST, {.i64=WFUNC_HANNING},  0, 0, FLAGS, "win_func" },
        { "hanning",  "Hanning",          0, AV_OPT_TYPE_CONST, {.i64=WFUNC_HANNING},  0, 0, FLAGS, "win_func" },
        { "hamming",  "Hamming",          0, AV_OPT_TYPE_CONST, {.i64=WFUNC_HAMMING},  0, 0, FLAGS, "win_func" },
        { "blackman", "Blackman",         0, AV_OPT_TYPE_CONST, {.i64=WFUNC_BLACKMAN}, 0, 0, FLAGS, "win_func" },
        { "welch",    "Welch",            0, AV_OPT_TYPE_CONST, {.i64=WFUNC_WELCH},    0, 0, FLAGS, "win_func" },
        { "flattop",  "Flat-top",         0, AV_OPT_TYPE_CONST, {.i64=WFUNC_FLATTOP},  0, 0, FLAGS, "win_func" },
        { "bharris",  "Blackman-Harris",  0, AV_OPT_TYPE_CONST, {.i64=WFUNC_BHARRIS},  0, 0, FLAGS, "win_func" },
        { "bnuttall", "Blackman-Nuttall", 0, AV_OPT_TYPE_CONST, {.i64=WFUNC_BNUTTALL}, 0, 0, FLAGS, "win_func" },
        { "bhann",    "Bartlett-Hann",    0, AV_OPT_TYPE_CONST, {.i64=WFUNC_BHANN},    0, 0, FLAGS, "win_func" },
        { "sine",     "Sine",             0, AV_OPT_TYPE_CONST, {.i64=WFUNC_SINE},     0, 0, FLAGS, "win_func" },
        { "nuttall",  "Nuttall",          0, AV_OPT_TYPE_CONST, {.i64=WFUNC_NUTTALL},  0, 0, FLAGS, "win_func" },
        { "lanczos",  "Lanczos",          0, AV_OPT_TYPE_CONST, {.i64=WFUNC_LANCZOS},  0, 0, FLAGS, "win_func" },
        { "gauss",    "Gauss",            0, AV_OPT_TYPE_CONST, {.i64=WFUNC_GAUSS},    0, 0, FLAGS, "win_func" },
    { "orientation", "set orientation", OFFSET(orientation), AV_OPT_TYPE_INT, {.i64=VERTICAL}, 0, NB_ORIENTATIONS-1, FLAGS, "orientation" },
        { "vertical",   NULL, 0, AV_OPT_TYPE_CONST, {.i64=VERTICAL},   0, 0, FLAGS, "orientation" },
        { "horizontal", NULL, 0, AV_OPT_TYPE_CONST, {.i64=HORIZONTAL}, 0, 0, FLAGS, "orientation" },
    { NULL }
};

AVFILTER_DEFINE_CLASS(showspectrumpic);

static int showspectrumpic_request_frame(AVFilterLink *outlink)
{
    ShowSpectrumContext *s = outlink->src->priv;
    AVFilterLink *inlink = outlink->src->inputs[0];
    int ret;

    ret = ff_request_frame(inlink);
    if (ret == AVERROR_EOF && s->outpicref) {
        int samples = av_audio_fifo_size(s->fifo);
        int consumed = 0;
        int x = 0, sz = s->orientation == VERTICAL ? s->w : s->h;
        int ch, spf, spb;
        AVFrame *fin;

        spf = s->win_size * (samples / ((s->win_size * sz) * ceil(samples / (float)(s->win_size * sz))));
        spb = (samples / (spf * sz)) * spf;

        fin = ff_get_audio_buffer(inlink, s->win_size);
        if (!fin)
            return AVERROR(ENOMEM);

        while (x < sz) {
            ret = av_audio_fifo_peek(s->fifo, (void **)fin->extended_data, s->win_size);
            if (ret < 0) {
                av_frame_free(&fin);
                return ret;
            }

            av_audio_fifo_drain(s->fifo, spf);

            if (ret < s->win_size) {
                for (ch = 0; ch < s->nb_display_channels; ch++) {
                    memset(fin->extended_data[ch] + ret * sizeof(int16_t), 0,
                           (s->win_size - ret) * sizeof(int16_t));
                }
            }

            run_rdft(s, fin);
            acalc_magnitudes(s);

            consumed += spf;
            if (consumed >= spb) {
                int h = s->orientation == VERTICAL ? s->h : s->w;

                scale_magnitudes(s, 1. / (consumed / spf));
                plot_spectrum_column(inlink, fin);
                consumed = 0;
                x++;
                for (ch = 0; ch < s->nb_display_channels; ch++)
                    memset(s->magnitudes[ch], 0, h * sizeof(float));
            }
        }

        av_frame_free(&fin);
        s->outpicref->pts = 0;
        ret = ff_filter_frame(outlink, s->outpicref);
        s->outpicref = NULL;
    }

    return ret;
}

static int showspectrumpic_filter_frame(AVFilterLink *inlink, AVFrame *insamples)
{
    AVFilterContext *ctx = inlink->dst;
    ShowSpectrumContext *s = ctx->priv;
    int ret;

    ret = av_audio_fifo_write(s->fifo, (void **)insamples->extended_data, insamples->nb_samples);
    av_frame_free(&insamples);
    return ret;
}

static const AVFilterPad showspectrumpic_inputs[] = {
    {
        .name         = "default",
        .type         = AVMEDIA_TYPE_AUDIO,
        .filter_frame = showspectrumpic_filter_frame,
    },
    { NULL }
};

static const AVFilterPad showspectrumpic_outputs[] = {
    {
        .name          = "default",
        .type          = AVMEDIA_TYPE_VIDEO,
        .config_props  = config_output,
        .request_frame = showspectrumpic_request_frame,
    },
    { NULL }
};

AVFilter ff_avf_showspectrumpic = {
    .name          = "showspectrumpic",
    .description   = NULL_IF_CONFIG_SMALL("Convert input audio to a spectrum video output single picture."),
    .uninit        = uninit,
    .query_formats = query_formats,
    .priv_size     = sizeof(ShowSpectrumContext),
    .inputs        = showspectrumpic_inputs,
    .outputs       = showspectrumpic_outputs,
    .priv_class    = &showspectrumpic_class,
};

#endif // CONFIG_SHOWSPECTRUMPIC_FILTER