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FFmpeg/libavfilter/vsrc_mandelbrot.c

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  1. /*

  2.  * Copyright (c) 2011 Michael Niedermayer

  3.  *

  4.  * This file is part of FFmpeg.

  5.  *

  6.  * FFmpeg is free software; you can redistribute it and/or

  7.  * modify it under the terms of the GNU Lesser General Public

  8.  * License as published by the Free Software Foundation; either

  9.  * version 2.1 of the License, or (at your option) any later version.

  10.  *

  11.  * FFmpeg is distributed in the hope that it will be useful,

  12.  * but WITHOUT ANY WARRANTY; without even the implied warranty of

  13.  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU

  14.  * Lesser General Public License for more details.

  15.  *

  16.  * You should have received a copy of the GNU Lesser General Public

  17.  * License along with FFmpeg; if not, write to the Free Software

  18.  * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA

  19.  *

  20.  * The vsrc_color filter from Stefano Sabatini was used as template to create

  21.  * this

  22.  */

  23. 

  24. /**

  25.  * @file

  26.  * Mandelbrot fraktal renderer

  27.  */

  28. 

  29. #include "avfilter.h"

  30. #include "formats.h"

  31. #include "video.h"

  32. #include "internal.h"

  33. #include "libavutil/imgutils.h"

  34. #include "libavutil/opt.h"

  35. #include "libavutil/parseutils.h"

  36. #include <float.h>

  37. #include <math.h>

  38. 

  39. #define SQR(a) ((a)*(a))

  40. 

  41. enum Outer{

  42.     ITERATION_COUNT,

  43.     NORMALIZED_ITERATION_COUNT,

  44. };

  45. 

  46. enum Inner{

  47.     BLACK,

  48.     PERIOD,

  49.     CONVTIME,

  50.     MINCOL,

  51. };

  52. 

  53. typedef struct Point {

  54.     double p[2];

  55.     uint32_t val;

  56. } Point;

  57. 

  58. typedef struct {

  59.     const AVClass *class;

  60.     int w, h;

  61.     AVRational time_base;

  62.     uint64_t pts;

  63.     char *rate;

  64.     int maxiter;

  65.     double start_x;

  66.     double start_y;

  67.     double start_scale;

  68.     double end_scale;

  69.     double end_pts;

  70.     double bailout;

  71.     enum Outer outer;

  72.     enum Inner inner;

  73.     int cache_allocated;

  74.     int cache_used;

  75.     Point *point_cache;

  76.     Point *next_cache;

  77.     double (*zyklus)[2];

  78.     uint32_t dither;

  79. } MBContext;

  80. 

  81. #define OFFSET(x) offsetof(MBContext, x)

  82. 

  83. static const AVOption mandelbrot_options[] = {

  84.     {"size",        "set frame size",                OFFSET(w),       AV_OPT_TYPE_IMAGE_SIZE, {.str="640x480"},  CHAR_MIN, CHAR_MAX },

  85.     {"s",           "set frame size",                OFFSET(w),       AV_OPT_TYPE_IMAGE_SIZE, {.str="640x480"},  CHAR_MIN, CHAR_MAX },

  86.     {"rate",        "set frame rate",                OFFSET(rate),    AV_OPT_TYPE_STRING,     {.str="25"},  CHAR_MIN, CHAR_MAX },

  87.     {"r",           "set frame rate",                OFFSET(rate),    AV_OPT_TYPE_STRING,     {.str="25"},  CHAR_MIN, CHAR_MAX },

  88.     {"maxiter",     "set max iterations number",     OFFSET(maxiter), AV_OPT_TYPE_INT,        {.dbl=7189},  1,        INT_MAX  },

  89.     {"start_x",     "set the initial x position",    OFFSET(start_x), AV_OPT_TYPE_DOUBLE,     {.dbl=-0.743643887037158704752191506114774}, -100, 100  },

  90.     {"start_y",     "set the initial y position",    OFFSET(start_y), AV_OPT_TYPE_DOUBLE,     {.dbl=-0.131825904205311970493132056385139}, -100, 100  },

  91.     {"start_scale", "set the initial scale value",   OFFSET(start_scale), AV_OPT_TYPE_DOUBLE, {.dbl=3.0},  0, FLT_MAX },

  92.     {"end_scale",   "set the terminal scale value",  OFFSET(end_scale), AV_OPT_TYPE_DOUBLE,   {.dbl=0.3},  0, FLT_MAX },

  93.     {"end_pts",     "set the terminal pts value",    OFFSET(end_pts), AV_OPT_TYPE_DOUBLE,     {.dbl=400},  0, INT64_MAX },

  94.     {"bailout",     "set the bailout value",         OFFSET(bailout), AV_OPT_TYPE_DOUBLE,     {.dbl=10},   0, FLT_MAX },

  95. 

  96.     {"outer",       "set outer coloring mode",       OFFSET(outer), AV_OPT_TYPE_INT, {.dbl=NORMALIZED_ITERATION_COUNT}, 0, INT_MAX, 0, "outer"},

  97.     {"iteration_count", "set iteration count mode",  0, AV_OPT_TYPE_CONST, {.dbl=ITERATION_COUNT}, INT_MIN, INT_MAX, 0, "outer" },

  98.     {"normalized_iteration_count", "set normalized iteration count mode",   0, AV_OPT_TYPE_CONST, {.dbl=NORMALIZED_ITERATION_COUNT}, INT_MIN, INT_MAX, 0, "outer" },

  99. 

  100.     {"inner",       "set inner coloring mode",       OFFSET(inner), AV_OPT_TYPE_INT, {.dbl=MINCOL}, 0, INT_MAX, 0, "inner"},

  101.     {"black",       "set black mode",                0, AV_OPT_TYPE_CONST, {.dbl=BLACK}, INT_MIN, INT_MAX, 0, "inner" },

  102.     {"period",      "set period mode",               0, AV_OPT_TYPE_CONST, {.dbl=PERIOD}, INT_MIN, INT_MAX, 0, "inner" },

  103.     {"convergence", "show time until convergence",   0, AV_OPT_TYPE_CONST, {.dbl=CONVTIME}, INT_MIN, INT_MAX, 0, "inner" },

  104.     {"mincol",      "color based on point closest to the origin of the iterations",   0, AV_OPT_TYPE_CONST, {.dbl=MINCOL}, INT_MIN, INT_MAX, 0, "inner" },

  105. 

  106.     {NULL},

  107. };

  108. 

  109. AVFILTER_DEFINE_CLASS(mandelbrot);

  110. 

  111. static av_cold int init(AVFilterContext *ctx, const char *args)

  112. {

  113.     MBContext *mb = ctx->priv;

  114.     AVRational rate_q;

  115.     int err;

  116. 

  117.     mb->class = &mandelbrot_class;

  118.     av_opt_set_defaults(mb);

  119. 

  120.     if ((err = (av_set_options_string(mb, args, "=", ":"))) < 0)

  121.         return err;

  122.     mb->bailout *= mb->bailout;

  123. 

  124.     mb->start_scale /=mb->h;

  125.     mb->end_scale /=mb->h;

  126. 

  127.     if (av_parse_video_rate(&rate_q, mb->rate) < 0) {

  128.         av_log(ctx, AV_LOG_ERROR, "Invalid frame rate: %s\n", mb->rate);

  129.         return AVERROR(EINVAL);

  130.     }

  131.     mb->time_base.num = rate_q.den;

  132.     mb->time_base.den = rate_q.num;

  133. 

  134.     mb->cache_allocated = mb->w * mb->h * 3;

  135.     mb->cache_used = 0;

  136.     mb->point_cache= av_malloc(sizeof(*mb->point_cache)*mb->cache_allocated);

  137.     mb-> next_cache= av_malloc(sizeof(*mb-> next_cache)*mb->cache_allocated);

  138.     mb-> zyklus    = av_malloc(sizeof(*mb->zyklus) * (mb->maxiter+16));

  139. 

  140.     return 0;

  141. }

  142. 

  143. static av_cold void uninit(AVFilterContext *ctx)

  144. {

  145.     MBContext *mb = ctx->priv;

  146. 

  147.     av_freep(&mb->rate);

  148.     av_freep(&mb->point_cache);

  149.     av_freep(&mb-> next_cache);

  150.     av_freep(&mb->zyklus);

  151. }

  152. 

  153. static int query_formats(AVFilterContext *ctx)

  154. {

  155.     static const enum PixelFormat pix_fmts[] = {

  156.         PIX_FMT_BGR32,

  157.         PIX_FMT_NONE

  158.     };

  159. 

  160.     ff_set_common_formats(ctx, ff_make_format_list(pix_fmts));

  161.     return 0;

  162. }

  163. 

  164. static int config_props(AVFilterLink *inlink)

  165. {

  166.     AVFilterContext *ctx = inlink->src;

  167.     MBContext *mb = ctx->priv;

  168. 

  169.     if (av_image_check_size(mb->w, mb->h, 0, ctx) < 0)

  170.         return AVERROR(EINVAL);

  171. 

  172.     inlink->w = mb->w;

  173.     inlink->h = mb->h;

  174.     inlink->time_base = mb->time_base;

  175. 

  176.     return 0;

  177. }

  178. 

  179. static void fill_from_cache(AVFilterContext *ctx, uint32_t *color, int *in_cidx, int *out_cidx, double py, double scale){

  180.     MBContext *mb = ctx->priv;

  181.     for(; *in_cidx < mb->cache_used; (*in_cidx)++){

  182.         Point *p= &mb->point_cache[*in_cidx];

  183.         int x;

  184.         if(p->p[1] > py)

  185.             break;

  186.         x= round((p->p[0] - mb->start_x) / scale + mb->w/2);

  187.         if(x<0 || x >= mb->w)

  188.             continue;

  189.         if(color) color[x] = p->val;

  190.         if(out_cidx && *out_cidx < mb->cache_allocated)

  191.             mb->next_cache[(*out_cidx)++]= *p;

  192.     }

  193. }

  194. 

  195. static int interpol(MBContext *mb, uint32_t *color, int x, int y, int linesize)

  196. {

  197.     uint32_t a,b,c,d, i;

  198.     uint32_t ipol=0xFF000000;

  199.     int dist;

  200. 

  201.     if(!x || !y || x+1==mb->w || y+1==mb->h)

  202.         return 0;

  203. 

  204.     dist= FFMAX(FFABS(x-(mb->w>>1))*mb->h, FFABS(y-(mb->h>>1))*mb->w);

  205. 

  206.     if(dist<(mb->w*mb->h>>3))

  207.         return 0;

  208. 

  209.     a=color[(x+1) + (y+0)*linesize];

  210.     b=color[(x-1) + (y+1)*linesize];

  211.     c=color[(x+0) + (y+1)*linesize];

  212.     d=color[(x+1) + (y+1)*linesize];

  213. 

  214.     if(a&&c){

  215.         b= color[(x-1) + (y+0)*linesize];

  216.         d= color[(x+0) + (y-1)*linesize];

  217.     }else if(b&&d){

  218.         a= color[(x+1) + (y-1)*linesize];

  219.         c= color[(x-1) + (y-1)*linesize];

  220.     }else if(c){

  221.         d= color[(x+0) + (y-1)*linesize];

  222.         a= color[(x-1) + (y+0)*linesize];

  223.         b= color[(x+1) + (y-1)*linesize];

  224.     }else if(d){

  225.         c= color[(x-1) + (y-1)*linesize];

  226.         a= color[(x-1) + (y+0)*linesize];

  227.         b= color[(x+1) + (y-1)*linesize];

  228.     }else

  229.         return 0;

  230. 

  231.     for(i=0; i<3; i++){

  232.         int s= 8*i;

  233.         uint8_t ac= a>>s;

  234.         uint8_t bc= b>>s;

  235.         uint8_t cc= c>>s;

  236.         uint8_t dc= d>>s;

  237.         int ipolab= (ac + bc);

  238.         int ipolcd= (cc + dc);

  239.         if(FFABS(ipolab - ipolcd) > 5)

  240.             return 0;

  241.         if(FFABS(ac-bc)+FFABS(cc-dc) > 20)

  242.             return 0;

  243.         ipol |= ((ipolab + ipolcd + 2)/4)<<s;

  244.     }

  245.     color[x + y*linesize]= ipol;

  246.     return 1;

  247. }

  248. 

  249. static void draw_mandelbrot(AVFilterContext *ctx, uint32_t *color, int linesize, int64_t pts)

  250. {

  251.     MBContext *mb = ctx->priv;

  252.     int x,y,i, in_cidx=0, next_cidx=0, tmp_cidx;

  253.     double scale= mb->start_scale*pow(mb->end_scale/mb->start_scale, pts/mb->end_pts);

  254.     int use_zyklus=0;

  255.     fill_from_cache(ctx, NULL, &in_cidx, NULL, mb->start_y+scale*(-mb->h/2-0.5), scale);

  256.     tmp_cidx= in_cidx;

  257.     memset(color, 0, sizeof(*color)*mb->w);

  258.     for(y=0; y<mb->h; y++){

  259.         int y1= y+1;

  260.         const double ci=mb->start_y+scale*(y-mb->h/2);

  261.         fill_from_cache(ctx, NULL, &in_cidx, &next_cidx, ci, scale);

  262.         if(y1<mb->h){

  263.             memset(color+linesize*y1, 0, sizeof(*color)*mb->w);

  264.             fill_from_cache(ctx, color+linesize*y1, &tmp_cidx, NULL, ci + 3*scale/2, scale);

  265.         }

  266. 

  267.         for(x=0; x<mb->w; x++){

  268.             float av_uninit(epsilon);

  269.             const double cr=mb->start_x+scale*(x-mb->w/2);

  270.             double zr=cr;

  271.             double zi=ci;

  272.             uint32_t c=0;

  273.             double dv= mb->dither / (double)(1LL<<32);

  274.             mb->dither= mb->dither*1664525+1013904223;

  275. 

  276.             if(color[x + y*linesize] & 0xFF000000)

  277.                 continue;

  278.             if(interpol(mb, color, x, y, linesize)){

  279.                 if(next_cidx < mb->cache_allocated){

  280.                     mb->next_cache[next_cidx  ].p[0]= cr;

  281.                     mb->next_cache[next_cidx  ].p[1]= ci;

  282.                     mb->next_cache[next_cidx++].val = color[x + y*linesize];

  283.                 }

  284.                 continue;

  285.             }

  286. 

  287.             use_zyklus= (x==0 || mb->inner!=BLACK ||color[x-1 + y*linesize] == 0xFF000000);

  288.             if(use_zyklus)

  289.                 epsilon= scale*1*sqrt(SQR(x-mb->w/2) + SQR(y-mb->h/2))/mb->w;

  290. 

  291. #define Z_Z2_C(outr,outi,inr,ini)\

  292.             outr= inr*inr - ini*ini + cr;\

  293.             outi= 2*inr*ini + ci;

  294. 

  295. #define Z_Z2_C_ZYKLUS(outr,outi,inr,ini, Z)\

  296.             Z_Z2_C(outr,outi,inr,ini)\

  297.             if(use_zyklus){\

  298.                 if(Z && fabs(mb->zyklus[i>>1][0]-outr)+fabs(mb->zyklus[i>>1][1]-outi) <= epsilon)\

  299.                     break;\

  300.             }\

  301.             mb->zyklus[i][0]= outr;\

  302.             mb->zyklus[i][1]= outi;\

  303. 

  304. 

  305. 

  306.             for(i=0; i<mb->maxiter-8; i++){

  307.                 double t;

  308.                 Z_Z2_C_ZYKLUS(t, zi, zr, zi, 0)

  309.                 i++;

  310.                 Z_Z2_C_ZYKLUS(zr, zi, t, zi, 1)

  311.                 i++;

  312.                 Z_Z2_C_ZYKLUS(t, zi, zr, zi, 0)

  313.                 i++;

  314.                 Z_Z2_C_ZYKLUS(zr, zi, t, zi, 1)

  315.                 i++;

  316.                 Z_Z2_C_ZYKLUS(t, zi, zr, zi, 0)

  317.                 i++;

  318.                 Z_Z2_C_ZYKLUS(zr, zi, t, zi, 1)

  319.                 i++;

  320.                 Z_Z2_C_ZYKLUS(t, zi, zr, zi, 0)

  321.                 i++;

  322.                 Z_Z2_C_ZYKLUS(zr, zi, t, zi, 1)

  323.                 if(zr*zr + zi*zi > mb->bailout){

  324.                     i-= FFMIN(7, i);

  325.                     for(; i<mb->maxiter; i++){

  326.                         zr= mb->zyklus[i][0];

  327.                         zi= mb->zyklus[i][1];

  328.                         if(zr*zr + zi*zi > mb->bailout){

  329.                             switch(mb->outer){

  330.                             case            ITERATION_COUNT: zr = i; break;

  331.                             case NORMALIZED_ITERATION_COUNT: zr= i + log2(log(mb->bailout) / log(zr*zr + zi*zi)); break;

  332.                             }

  333.                             c= lrintf((sin(zr)+1)*127) + lrintf((sin(zr/1.234)+1)*127)*256*256 + lrintf((sin(zr/100)+1)*127)*256;

  334.                             break;

  335.                         }

  336.                     }

  337.                     break;

  338.                 }

  339.             }

  340.             if(!c){

  341.                 if(mb->inner==PERIOD){

  342.                 int j;

  343.                 for(j=i-1; j; j--)

  344.                     if(SQR(mb->zyklus[j][0]-zr) + SQR(mb->zyklus[j][1]-zi) < epsilon*epsilon*10)

  345.                         break;

  346.                 if(j){

  347.                     c= i-j;

  348.                     c= ((c<<5)&0xE0) + ((c<<16)&0xE000) + ((c<<27)&0xE00000);

  349.                 }

  350.                 }else if(mb->inner==CONVTIME){

  351.                     c= floor(i*255.0/mb->maxiter+dv)*0x010101;

  352.                 } else if(mb->inner==MINCOL){

  353.                     int j;

  354.                     double closest=9999;

  355.                     int closest_index=0;

  356.                     for(j=i-1; j>=0; j--)

  357.                         if(SQR(mb->zyklus[j][0]) + SQR(mb->zyklus[j][1]) < closest){

  358.                             closest= SQR(mb->zyklus[j][0]) + SQR(mb->zyklus[j][1]);

  359.                             closest_index= j;

  360.                         }

  361.                     closest = sqrt(closest);

  362.                     c= lrintf((mb->zyklus[closest_index][0]/closest+1)*127+dv) + lrintf((mb->zyklus[closest_index][1]/closest+1)*127+dv)*256;

  363.                 }

  364.             }

  365.             c |= 0xFF000000;

  366.             color[x + y*linesize]= c;

  367.             if(next_cidx < mb->cache_allocated){

  368.                 mb->next_cache[next_cidx  ].p[0]= cr;

  369.                 mb->next_cache[next_cidx  ].p[1]= ci;

  370.                 mb->next_cache[next_cidx++].val = c;

  371.             }

  372.         }

  373.         fill_from_cache(ctx, NULL, &in_cidx, &next_cidx, ci + scale/2, scale);

  374.     }

  375.     FFSWAP(void*, mb->next_cache, mb->point_cache);

  376.     mb->cache_used = next_cidx;

  377.     if(mb->cache_used == mb->cache_allocated)

  378.         av_log(0, AV_LOG_INFO, "Mandelbrot cache is too small!\n");

  379. }

  380. 

  381. static int request_frame(AVFilterLink *link)

  382. {

  383.     MBContext *mb = link->src->priv;

  384.     AVFilterBufferRef *picref = ff_get_video_buffer(link, AV_PERM_WRITE, mb->w, mb->h);

  385.     picref->video->sample_aspect_ratio = (AVRational) {1, 1};

  386.     picref->pts = mb->pts++;

  387.     picref->pos = -1;

  388. 

  389.     ff_start_frame(link, avfilter_ref_buffer(picref, ~0));

  390.     draw_mandelbrot(link->src, (uint32_t*)picref->data[0], picref->linesize[0]/4, picref->pts);

  391.     ff_draw_slice(link, 0, mb->h, 1);

  392.     ff_end_frame(link);

  393.     avfilter_unref_buffer(picref);

  394. 

  395.     return 0;

  396. }

  397. 

  398. AVFilter avfilter_vsrc_mandelbrot = {

  399.     .name        = "mandelbrot",

  400.     .description = NULL_IF_CONFIG_SMALL("Render a Mandelbrot fractal."),

  401. 

  402.     .priv_size = sizeof(MBContext),

  403.     .init      = init,

  404.     .uninit    = uninit,

  405. 

  406.     .query_formats = query_formats,

  407. 

  408.     .inputs    = (const AVFilterPad[]) {{ .name = NULL}},

  409. 

  410.     .outputs   = (const AVFilterPad[]) {{ .name      = "default",

  411.                                     .type            = AVMEDIA_TYPE_VIDEO,

  412.                                     .request_frame   = request_frame,

  413.                                     .config_props    = config_props },

  414.                                   { .name = NULL}},

  415. };