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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 frame_rate;

  62.     uint64_t pts;

  63.     int maxiter;

  64.     double start_x;

  65.     double start_y;

  66.     double start_scale;

  67.     double end_scale;

  68.     double end_pts;

  69.     double bailout;

  70.     enum Outer outer;

  71.     enum Inner inner;

  72.     int cache_allocated;

  73.     int cache_used;

  74.     Point *point_cache;

  75.     Point *next_cache;

  76.     double (*zyklus)[2];

  77.     uint32_t dither;

  78. } MBContext;

  79. 

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

  81. #define FLAGS AV_OPT_FLAG_VIDEO_PARAM|AV_OPT_FLAG_FILTERING_PARAM

  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, FLAGS },

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

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

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

  88.     {"maxiter",     "set max iterations number",     OFFSET(maxiter), AV_OPT_TYPE_INT,        {.i64=7189},  1,        INT_MAX, FLAGS },

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

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

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

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

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

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

  95. 

  96.     {"outer",       "set outer coloring mode",       OFFSET(outer), AV_OPT_TYPE_INT, {.i64=NORMALIZED_ITERATION_COUNT}, 0, INT_MAX, FLAGS, "outer" },

  97.     {"iteration_count", "set iteration count mode",  0, AV_OPT_TYPE_CONST, {.i64=ITERATION_COUNT}, INT_MIN, INT_MAX, FLAGS, "outer" },

  98.     {"normalized_iteration_count", "set normalized iteration count mode",   0, AV_OPT_TYPE_CONST, {.i64=NORMALIZED_ITERATION_COUNT}, INT_MIN, INT_MAX, FLAGS, "outer" },

  99. 

  100.     {"inner",       "set inner coloring mode",       OFFSET(inner), AV_OPT_TYPE_INT, {.i64=MINCOL}, 0, INT_MAX, FLAGS, "inner" },

  101.     {"black",       "set black mode",                0, AV_OPT_TYPE_CONST, {.i64=BLACK}, INT_MIN, INT_MAX, FLAGS, "inner"},

  102.     {"period",      "set period mode",               0, AV_OPT_TYPE_CONST, {.i64=PERIOD}, INT_MIN, INT_MAX, FLAGS, "inner"},

  103.     {"convergence", "show time until convergence",   0, AV_OPT_TYPE_CONST, {.i64=CONVTIME}, INT_MIN, INT_MAX, FLAGS, "inner"},

  104.     {"mincol",      "color based on point closest to the origin of the iterations",   0, AV_OPT_TYPE_CONST, {.i64=MINCOL}, INT_MIN, INT_MAX, FLAGS, "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.     int err;

  115. 

  116.     mb->class = &mandelbrot_class;

  117.     av_opt_set_defaults(mb);

  118. 

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

  120.         return err;

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

  122. 

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

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

  125. 

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

  127.     mb->cache_used = 0;

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

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

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

  131. 

  132.     return 0;

  133. }

  134. 

  135. static av_cold void uninit(AVFilterContext *ctx)

  136. {

  137.     MBContext *mb = ctx->priv;

  138. 

  139.     av_freep(&mb->point_cache);

  140.     av_freep(&mb-> next_cache);

  141.     av_freep(&mb->zyklus);

  142. }

  143. 

  144. static int query_formats(AVFilterContext *ctx)

  145. {

  146.     static const enum AVPixelFormat pix_fmts[] = {

  147.         AV_PIX_FMT_BGR32,

  148.         AV_PIX_FMT_NONE

  149.     };

  150. 

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

  152.     return 0;

  153. }

  154. 

  155. static int config_props(AVFilterLink *inlink)

  156. {

  157.     AVFilterContext *ctx = inlink->src;

  158.     MBContext *mb = ctx->priv;

  159. 

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

  161.         return AVERROR(EINVAL);

  162. 

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

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

  165.     inlink->time_base = av_inv_q(mb->frame_rate);

  166. 

  167.     return 0;

  168. }

  169. 

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

  171.     MBContext *mb = ctx->priv;

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

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

  174.         int x;

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

  176.             break;

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

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

  179.             continue;

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

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

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

  183.     }

  184. }

  185. 

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

  187. {

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

  189.     uint32_t ipol=0xFF000000;

  190.     int dist;

  191. 

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

  193.         return 0;

  194. 

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

  196. 

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

  198.         return 0;

  199. 

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

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

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

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

  204. 

  205.     if(a&&c){

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

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

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

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

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

  211.     }else if(c){

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

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

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

  215.     }else if(d){

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

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

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

  219.     }else

  220.         return 0;

  221. 

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

  223.         int s= 8*i;

  224.         uint8_t ac= a>>s;

  225.         uint8_t bc= b>>s;

  226.         uint8_t cc= c>>s;

  227.         uint8_t dc= d>>s;

  228.         int ipolab= (ac + bc);

  229.         int ipolcd= (cc + dc);

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

  231.             return 0;

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

  233.             return 0;

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

  235.     }

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

  237.     return 1;

  238. }

  239. 

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

  241. {

  242.     MBContext *mb = ctx->priv;

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

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

  245.     int use_zyklus=0;

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

  247.     tmp_cidx= in_cidx;

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

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

  250.         int y1= y+1;

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

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

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

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

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

  256.         }

  257. 

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

  259.             float av_uninit(epsilon);

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

  261.             double zr=cr;

  262.             double zi=ci;

  263.             uint32_t c=0;

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

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

  266. 

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

  268.                 continue;

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

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

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

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

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

  274.                 }

  275.                 continue;

  276.             }

  277. 

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

  279.             if(use_zyklus)

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

  281. 

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

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

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

  285. 

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

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

  288.             if(use_zyklus){\

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

  290.                     break;\

  291.             }\

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

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

  294. 

  295. 

  296. 

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

  298.                 double t;

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

  300.                 i++;

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

  302.                 i++;

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

  304.                 i++;

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

  306.                 i++;

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

  308.                 i++;

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

  310.                 i++;

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

  312.                 i++;

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

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

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

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

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

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

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

  320.                             switch(mb->outer){

  321.                             case            ITERATION_COUNT: zr = i; break;

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

  323.                             }

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

  325.                             break;

  326.                         }

  327.                     }

  328.                     break;

  329.                 }

  330.             }

  331.             if(!c){

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

  333.                 int j;

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

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

  336.                         break;

  337.                 if(j){

  338.                     c= i-j;

  339.                     c= ((c<<5)&0xE0) + ((c<<10)&0xE000) + ((c<<15)&0xE00000);

  340.                 }

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

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

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

  344.                     int j;

  345.                     double closest=9999;

  346.                     int closest_index=0;

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

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

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

  350.                             closest_index= j;

  351.                         }

  352.                     closest = sqrt(closest);

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

  354.                 }

  355.             }

  356.             c |= 0xFF000000;

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

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

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

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

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

  362.             }

  363.         }

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

  365.     }

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

  367.     mb->cache_used = next_cidx;

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

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

  370. }

  371. 

  372. static int request_frame(AVFilterLink *link)

  373. {

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

  375.     AVFrame *picref = ff_get_video_buffer(link, mb->w, mb->h);

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

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

  378. 

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

  380.     return ff_filter_frame(link, picref);

  381. }

  382. 

  383. static const AVFilterPad mandelbrot_outputs[] = {

  384.     {

  385.         .name          = "default",

  386.         .type          = AVMEDIA_TYPE_VIDEO,

  387.         .request_frame = request_frame,

  388.         .config_props  = config_props,

  389.     },

  390.     { NULL },

  391. };

  392. 

  393. AVFilter avfilter_vsrc_mandelbrot = {

  394.     .name        = "mandelbrot",

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

  396. 

  397.     .priv_size = sizeof(MBContext),

  398.     .init      = init,

  399.     .uninit    = uninit,

  400. 

  401.     .query_formats = query_formats,

  402.     .inputs        = NULL,

  403.     .outputs       = mandelbrot_outputs,

  404.     .priv_class    = &mandelbrot_class,

  405. };