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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 "libavutil/imgutils.h"

  31. #include "libavutil/opt.h"

  32. #include "libavutil/parseutils.h"

  33. #include <float.h>

  34. #include <math.h>

  35. 

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

  37. 

  38. enum Outer{

  39.     ITERATION_COUNT,

  40.     NORMALIZED_ITERATION_COUNT,

  41. };

  42. 

  43. enum Inner{

  44.     BLACK,

  45.     PERIOD,

  46.     CONVTIME,

  47.     MINCOL,

  48. };

  49. 

  50. typedef struct Point {

  51.     double p[2];

  52.     uint32_t val;

  53. } Point;

  54. 

  55. typedef struct {

  56.     const AVClass *class;

  57.     int w, h;

  58.     AVRational time_base;

  59.     uint64_t pts;

  60.     char *rate;

  61.     int maxiter;

  62.     double start_x;

  63.     double start_y;

  64.     double start_scale;

  65.     double end_scale;

  66.     double end_pts;

  67.     double bailout;

  68.     enum Outer outer;

  69.     enum Inner inner;

  70.     int cache_allocated;

  71.     int cache_used;

  72.     Point *point_cache;

  73.     Point *next_cache;

  74.     double (*zyklus)[2];

  75.     uint32_t dither;

  76. } MBContext;

  77. 

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

  79. 

  80. static const AVOption mandelbrot_options[] = {

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

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

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

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

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

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

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

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

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

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

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

  92. 

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

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

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

  96. 

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

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

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

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

  101.     {"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" },

  102. 

  103.     {NULL},

  104. };

  105. 

  106. static const AVClass mandelbrot_class = {

  107.     "MBContext",

  108.     av_default_item_name,

  109.     mandelbrot_options

  110. };

  111. 

  112. static av_cold int init(AVFilterContext *ctx, const char *args, void *opaque)

  113. {

  114.     MBContext *mb = ctx->priv;

  115.     AVRational rate_q;

  116.     int err;

  117. 

  118.     mb->class = &mandelbrot_class;

  119.     av_opt_set_defaults(mb);

  120. 

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

  122.         av_log(ctx, AV_LOG_ERROR, "Error parsing options string: '%s'\n", args);

  123.         return err;

  124.     }

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

  126. 

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

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

  129. 

  130.     if (av_parse_video_rate(&rate_q, mb->rate) < 0 ||

  131.         rate_q.den <= 0 || rate_q.num <= 0) {

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

  133.         return AVERROR(EINVAL);

  134.     }

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

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

  137. 

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

  139.     mb->cache_used = 0;

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

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

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

  143. 

  144.     return 0;

  145. }

  146. 

  147. static av_cold void uninit(AVFilterContext *ctx)

  148. {

  149.     MBContext *mb = ctx->priv;

  150. 

  151.     av_freep(&mb->rate);

  152.     av_freep(&mb->point_cache);

  153.     av_freep(&mb-> next_cache);

  154.     av_freep(&mb->zyklus);

  155. }

  156. 

  157. static int query_formats(AVFilterContext *ctx)

  158. {

  159.     static const enum PixelFormat pix_fmts[] = {

  160.         PIX_FMT_BGR32,

  161.         PIX_FMT_NONE

  162.     };

  163. 

  164.     avfilter_set_common_pixel_formats(ctx, avfilter_make_format_list(pix_fmts));

  165.     return 0;

  166. }

  167. 

  168. static int config_props(AVFilterLink *inlink)

  169. {

  170.     AVFilterContext *ctx = inlink->src;

  171.     MBContext *mb = ctx->priv;

  172. 

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

  174.         return AVERROR(EINVAL);

  175. 

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

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

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

  179. 

  180.     return 0;

  181. }

  182. 

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

  184.     MBContext *mb = ctx->priv;

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

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

  187.         int x;

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

  189.             break;

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

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

  192.             continue;

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

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

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

  196.     }

  197. }

  198. 

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

  200. {

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

  202.     uint32_t ipol=0xFF000000;

  203.     int dist;

  204. 

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

  206.         return 0;

  207. 

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

  209. 

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

  211.         return 0;

  212. 

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

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

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

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

  217. 

  218.     if(a&&c){

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

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

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

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

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

  224.     }else if(c){

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

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

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

  228.     }else if(d){

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

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

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

  232.     }else

  233.         return 0;

  234. 

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

  236.         int s= 8*i;

  237.         uint8_t ac= a>>s;

  238.         uint8_t bc= b>>s;

  239.         uint8_t cc= c>>s;

  240.         uint8_t dc= d>>s;

  241.         int ipolab= (ac + bc);

  242.         int ipolcd= (cc + dc);

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

  244.             return 0;

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

  246.             return 0;

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

  248.     }

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

  250.     return 1;

  251. }

  252. 

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

  254. {

  255.     MBContext *mb = ctx->priv;

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

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

  258.     int use_zyklus=0;

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

  260.     tmp_cidx= in_cidx;

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

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

  263.         int y1= y+1;

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

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

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

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

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

  269.         }

  270. 

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

  272.             float av_uninit(epsilon);

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

  274.             double zr=cr;

  275.             double zi=ci;

  276.             uint32_t c=0;

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

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

  279. 

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

  281.                 continue;

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

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

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

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

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

  287.                 }

  288.                 continue;

  289.             }

  290. 

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

  292.             if(use_zyklus)

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

  294. 

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

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

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

  298. 

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

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

  301.             if(use_zyklus){\

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

  303.                     break;\

  304.             }\

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

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

  307. 

  308. 

  309. 

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

  311.                 double t;

  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.                 i++;

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

  325.                 i++;

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

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

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

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

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

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

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

  333.                             switch(mb->outer){

  334.                             case            ITERATION_COUNT: zr = i; break;

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

  336.                             }

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

  338.                             break;

  339.                         }

  340.                     }

  341.                     break;

  342.                 }

  343.             }

  344.             if(!c){

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

  346.                 int j;

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

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

  349.                         break;

  350.                 if(j){

  351.                     c= i-j;

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

  353.                 }

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

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

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

  357.                     int j;

  358.                     double closest=9999;

  359.                     int closest_index=0;

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

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

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

  363.                             closest_index= j;

  364.                         }

  365.                     closest = sqrt(closest);

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

  367.                 }

  368.             }

  369.             c |= 0xFF000000;

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

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

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

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

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

  375.             }

  376.         }

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

  378.     }

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

  380.     mb->cache_used = next_cidx;

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

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

  383. }

  384. 

  385. static int request_frame(AVFilterLink *link)

  386. {

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

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

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

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

  391.     picref->pos = -1;

  392. 

  393.     avfilter_start_frame(link, avfilter_ref_buffer(picref, ~0));

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

  395.     avfilter_draw_slice(link, 0, mb->h, 1);

  396.     avfilter_end_frame(link);

  397.     avfilter_unref_buffer(picref);

  398. 

  399.     return 0;

  400. }

  401. 

  402. AVFilter avfilter_vsrc_mandelbrot = {

  403.     .name        = "mandelbrot",

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

  405. 

  406.     .priv_size = sizeof(MBContext),

  407.     .init      = init,

  408.     .uninit    = uninit,

  409. 

  410.     .query_formats = query_formats,

  411. 

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

  413. 

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

  415.                                     .type            = AVMEDIA_TYPE_VIDEO,

  416.                                     .request_frame   = request_frame,

  417.                                     .config_props    = config_props },

  418.                                   { .name = NULL}},

  419. };