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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.     WHITE,

  45.     OUTZ,

  46. };

  47. 

  48. enum Inner{

  49.     BLACK,

  50.     PERIOD,

  51.     CONVTIME,

  52.     MINCOL,

  53. };

  54. 

  55. typedef struct Point {

  56.     double p[2];

  57.     uint32_t val;

  58. } Point;

  59. 

  60. typedef struct {

  61.     const AVClass *class;

  62.     int w, h;

  63.     AVRational frame_rate;

  64.     uint64_t pts;

  65.     int maxiter;

  66.     double start_x;

  67.     double start_y;

  68.     double start_scale;

  69.     double end_scale;

  70.     double end_pts;

  71.     double bailout;

  72.     int outer;

  73.     int inner;

  74.     int cache_allocated;

  75.     int cache_used;

  76.     Point *point_cache;

  77.     Point *next_cache;

  78.     double (*zyklus)[2];

  79.     uint32_t dither;

  80. 

  81.     double morphxf;

  82.     double morphyf;

  83.     double morphamp;

  84. } MBContext;

  85. 

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

  87. #define FLAGS AV_OPT_FLAG_VIDEO_PARAM|AV_OPT_FLAG_FILTERING_PARAM

  88. 

  89. static const AVOption mandelbrot_options[] = {

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

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

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

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

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

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

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

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

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

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

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

  101.     {"morphxf",     "set morph x frequency",         OFFSET(morphxf), AV_OPT_TYPE_DOUBLE,     {.dbl=0.01},   -FLT_MAX, FLT_MAX, FLAGS },

  102.     {"morphyf",     "set morph y frequency",         OFFSET(morphyf), AV_OPT_TYPE_DOUBLE,     {.dbl=0.0123}, -FLT_MAX, FLT_MAX, FLAGS },

  103.     {"morphamp",    "set morph amplitude",           OFFSET(morphamp), AV_OPT_TYPE_DOUBLE,    {.dbl=0},      -FLT_MAX, FLT_MAX, FLAGS },

  104. 

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

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

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

  108.     {"white", "set white mode",                      0, AV_OPT_TYPE_CONST, {.i64=WHITE}, INT_MIN, INT_MAX, FLAGS, "outer" },

  109.     {"outz",        "set outz mode",                 0, AV_OPT_TYPE_CONST, {.i64=OUTZ}, INT_MIN, INT_MAX, FLAGS, "outer" },

  110. 

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

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

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

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

  115.     {"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"},

  116. 

  117.     {NULL},

  118. };

  119. 

  120. AVFILTER_DEFINE_CLASS(mandelbrot);

  121. 

  122. static av_cold int init(AVFilterContext *ctx)

  123. {

  124.     MBContext *mb = ctx->priv;

  125. 

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

  127. 

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

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

  130. 

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

  132.     mb->cache_used = 0;

  133.     mb->point_cache= av_malloc_array(mb->cache_allocated, sizeof(*mb->point_cache));

  134.     mb-> next_cache= av_malloc_array(mb->cache_allocated, sizeof(*mb-> next_cache));

  135.     mb-> zyklus    = av_malloc_array(mb->maxiter + 16, sizeof(*mb->zyklus));

  136. 

  137.     return 0;

  138. }

  139. 

  140. static av_cold void uninit(AVFilterContext *ctx)

  141. {

  142.     MBContext *mb = ctx->priv;

  143. 

  144.     av_freep(&mb->point_cache);

  145.     av_freep(&mb-> next_cache);

  146.     av_freep(&mb->zyklus);

  147. }

  148. 

  149. static int query_formats(AVFilterContext *ctx)

  150. {

  151.     static const enum AVPixelFormat pix_fmts[] = {

  152.         AV_PIX_FMT_BGR32,

  153.         AV_PIX_FMT_NONE

  154.     };

  155. 

  156.     AVFilterFormats *fmts_list = ff_make_format_list(pix_fmts);

  157.     if (!fmts_list)

  158.         return AVERROR(ENOMEM);

  159.     return ff_set_common_formats(ctx, fmts_list);

  160. }

  161. 

  162. static int config_props(AVFilterLink *inlink)

  163. {

  164.     AVFilterContext *ctx = inlink->src;

  165.     MBContext *mb = ctx->priv;

  166. 

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

  168.         return AVERROR(EINVAL);

  169. 

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

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

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

  173. 

  174.     return 0;

  175. }

  176. 

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

  178.     MBContext *mb = ctx->priv;

  179.     if(mb->morphamp)

  180.         return;

  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(!mb->morphamp){

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

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

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

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

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

  284.                     }

  285.                     continue;

  286.                 }

  287.             }else{

  288.                 zr += cos(pts * mb->morphxf) * mb->morphamp;

  289.                 zi += sin(pts * mb->morphyf) * mb->morphamp;

  290.             }

  291. 

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

  293.             if(use_zyklus)

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

  295. 

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

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

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

  299. 

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

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

  302.             if(use_zyklus){\

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

  304.                     break;\

  305.             }\

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

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

  308. 

  309. 

  310. 

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

  312.                 double t;

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

  314.                 i++;

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

  316.                 i++;

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

  318.                 i++;

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

  320.                 i++;

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

  322.                 i++;

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

  324.                 i++;

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

  326.                 i++;

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

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

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

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

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

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

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

  334.                             switch(mb->outer){

  335.                             case            ITERATION_COUNT:

  336.                                 zr = i;

  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.                             case NORMALIZED_ITERATION_COUNT:

  340.                                 zr = i + log2(log(mb->bailout) / log(zr*zr + zi*zi));

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

  342.                                 break;

  343.                             case                      WHITE:

  344.                                 c = 0xFFFFFF;

  345.                                 break;

  346.                             case                      OUTZ:

  347.                                 zr /= mb->bailout;

  348.                                 zi /= mb->bailout;

  349.                                 c = (((int)(zr*128+128))&0xFF)*256 + (((int)(zi*128+128))&0xFF);

  350.                             }

  351.                             break;

  352.                         }

  353.                     }

  354.                     break;

  355.                 }

  356.             }

  357.             if(!c){

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

  359.                     int j;

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

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

  362.                             break;

  363.                     if(j){

  364.                         c= i-j;

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

  366.                     }

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

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

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

  370.                     int j;

  371.                     double closest=9999;

  372.                     int closest_index=0;

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

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

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

  376.                             closest_index= j;

  377.                         }

  378.                     closest = sqrt(closest);

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

  380.                 }

  381.             }

  382.             c |= 0xFF000000;

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

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

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

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

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

  388.             }

  389.         }

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

  391.     }

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

  393.     mb->cache_used = next_cidx;

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

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

  396. }

  397. 

  398. static int request_frame(AVFilterLink *link)

  399. {

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

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

  402.     if (!picref)

  403.         return AVERROR(ENOMEM);

  404. 

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

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

  407. 

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

  409.     return ff_filter_frame(link, picref);

  410. }

  411. 

  412. static const AVFilterPad mandelbrot_outputs[] = {

  413.     {

  414.         .name          = "default",

  415.         .type          = AVMEDIA_TYPE_VIDEO,

  416.         .request_frame = request_frame,

  417.         .config_props  = config_props,

  418.     },

  419.     { NULL }

  420. };

  421. 

  422. AVFilter ff_vsrc_mandelbrot = {

  423.     .name          = "mandelbrot",

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

  425.     .priv_size     = sizeof(MBContext),

  426.     .priv_class    = &mandelbrot_class,

  427.     .init          = init,

  428.     .uninit        = uninit,

  429.     .query_formats = query_formats,

  430.     .inputs        = NULL,

  431.     .outputs       = mandelbrot_outputs,

  432. };