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423 lines
16 KiB
423 lines
16 KiB
/* |
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* Copyright (c) 2011 Michael Niedermayer |
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* |
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* This file is part of FFmpeg. |
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* |
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* FFmpeg is free software; you can redistribute it and/or |
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* modify it under the terms of the GNU Lesser General Public |
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* License as published by the Free Software Foundation; either |
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* version 2.1 of the License, or (at your option) any later version. |
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* |
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* FFmpeg is distributed in the hope that it will be useful, |
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* but WITHOUT ANY WARRANTY; without even the implied warranty of |
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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* Lesser General Public License for more details. |
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* |
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* You should have received a copy of the GNU Lesser General Public |
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* License along with FFmpeg; if not, write to the Free Software |
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* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA |
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* |
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* The vsrc_color filter from Stefano Sabatini was used as template to create |
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* this |
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*/ |
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/** |
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* @file |
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* Mandelbrot fractal renderer |
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*/ |
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#include "avfilter.h" |
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#include "filters.h" |
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#include "video.h" |
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#include "libavutil/imgutils.h" |
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#include "libavutil/mem.h" |
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#include "libavutil/opt.h" |
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#include <float.h> |
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#include <math.h> |
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#define SQR(a) ((a)*(a)) |
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enum Outer{ |
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ITERATION_COUNT, |
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NORMALIZED_ITERATION_COUNT, |
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WHITE, |
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OUTZ, |
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}; |
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enum Inner{ |
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BLACK, |
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PERIOD, |
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CONVTIME, |
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MINCOL, |
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}; |
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typedef struct Point { |
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double p[2]; |
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uint32_t val; |
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} Point; |
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typedef struct MBContext { |
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const AVClass *class; |
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int w, h; |
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AVRational frame_rate; |
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uint64_t pts; |
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int maxiter; |
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double start_x; |
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double start_y; |
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double start_scale; |
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double end_scale; |
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double end_pts; |
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double bailout; |
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int outer; |
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int inner; |
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int cache_allocated; |
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int cache_used; |
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Point *point_cache; |
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Point *next_cache; |
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double (*zyklus)[2]; |
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uint32_t dither; |
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double morphxf; |
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double morphyf; |
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double morphamp; |
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} MBContext; |
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#define OFFSET(x) offsetof(MBContext, x) |
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#define FLAGS AV_OPT_FLAG_VIDEO_PARAM|AV_OPT_FLAG_FILTERING_PARAM |
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static const AVOption mandelbrot_options[] = { |
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{"size", "set frame size", OFFSET(w), AV_OPT_TYPE_IMAGE_SIZE, {.str="640x480"}, 0, 0, FLAGS }, |
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{"s", "set frame size", OFFSET(w), AV_OPT_TYPE_IMAGE_SIZE, {.str="640x480"}, 0, 0, FLAGS }, |
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{"rate", "set frame rate", OFFSET(frame_rate), AV_OPT_TYPE_VIDEO_RATE, {.str="25"}, 0, INT_MAX, FLAGS }, |
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{"r", "set frame rate", OFFSET(frame_rate), AV_OPT_TYPE_VIDEO_RATE, {.str="25"}, 0, INT_MAX, FLAGS }, |
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{"maxiter", "set max iterations number", OFFSET(maxiter), AV_OPT_TYPE_INT, {.i64=7189}, 1, INT_MAX, FLAGS }, |
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{"start_x", "set the initial x position", OFFSET(start_x), AV_OPT_TYPE_DOUBLE, {.dbl=-0.743643887037158704752191506114774}, -100, 100, FLAGS }, |
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{"start_y", "set the initial y position", OFFSET(start_y), AV_OPT_TYPE_DOUBLE, {.dbl=-0.131825904205311970493132056385139}, -100, 100, FLAGS }, |
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{"start_scale", "set the initial scale value", OFFSET(start_scale), AV_OPT_TYPE_DOUBLE, {.dbl=3.0}, 0, FLT_MAX, FLAGS }, |
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{"end_scale", "set the terminal scale value", OFFSET(end_scale), AV_OPT_TYPE_DOUBLE, {.dbl=0.3}, 0, FLT_MAX, FLAGS }, |
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{"end_pts", "set the terminal pts value", OFFSET(end_pts), AV_OPT_TYPE_DOUBLE, {.dbl=400}, 0, INT64_MAX, FLAGS }, |
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{"bailout", "set the bailout value", OFFSET(bailout), AV_OPT_TYPE_DOUBLE, {.dbl=10}, 0, FLT_MAX, FLAGS }, |
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{"morphxf", "set morph x frequency", OFFSET(morphxf), AV_OPT_TYPE_DOUBLE, {.dbl=0.01}, -FLT_MAX, FLT_MAX, FLAGS }, |
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{"morphyf", "set morph y frequency", OFFSET(morphyf), AV_OPT_TYPE_DOUBLE, {.dbl=0.0123}, -FLT_MAX, FLT_MAX, FLAGS }, |
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{"morphamp", "set morph amplitude", OFFSET(morphamp), AV_OPT_TYPE_DOUBLE, {.dbl=0}, -FLT_MAX, FLT_MAX, FLAGS }, |
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{"outer", "set outer coloring mode", OFFSET(outer), AV_OPT_TYPE_INT, {.i64=NORMALIZED_ITERATION_COUNT}, 0, INT_MAX, FLAGS, .unit = "outer" }, |
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{"iteration_count", "set iteration count mode", 0, AV_OPT_TYPE_CONST, {.i64=ITERATION_COUNT}, INT_MIN, INT_MAX, FLAGS, .unit = "outer" }, |
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{"normalized_iteration_count", "set normalized iteration count mode", 0, AV_OPT_TYPE_CONST, {.i64=NORMALIZED_ITERATION_COUNT}, INT_MIN, INT_MAX, FLAGS, .unit = "outer" }, |
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{"white", "set white mode", 0, AV_OPT_TYPE_CONST, {.i64=WHITE}, INT_MIN, INT_MAX, FLAGS, .unit = "outer" }, |
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{"outz", "set outz mode", 0, AV_OPT_TYPE_CONST, {.i64=OUTZ}, INT_MIN, INT_MAX, FLAGS, .unit = "outer" }, |
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{"inner", "set inner coloring mode", OFFSET(inner), AV_OPT_TYPE_INT, {.i64=MINCOL}, 0, INT_MAX, FLAGS, .unit = "inner" }, |
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{"black", "set black mode", 0, AV_OPT_TYPE_CONST, {.i64=BLACK}, INT_MIN, INT_MAX, FLAGS, .unit = "inner"}, |
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{"period", "set period mode", 0, AV_OPT_TYPE_CONST, {.i64=PERIOD}, INT_MIN, INT_MAX, FLAGS, .unit = "inner"}, |
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{"convergence", "show time until convergence", 0, AV_OPT_TYPE_CONST, {.i64=CONVTIME}, INT_MIN, INT_MAX, FLAGS, .unit = "inner"}, |
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{"mincol", "color based on point closest to the origin of the iterations", 0, AV_OPT_TYPE_CONST, {.i64=MINCOL}, INT_MIN, INT_MAX, FLAGS, .unit = "inner"}, |
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{NULL}, |
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}; |
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AVFILTER_DEFINE_CLASS(mandelbrot); |
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static av_cold int init(AVFilterContext *ctx) |
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{ |
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MBContext *s = ctx->priv; |
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s->bailout *= s->bailout; |
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s->start_scale /=s->h; |
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s->end_scale /=s->h; |
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s->cache_allocated = s->w * s->h * 3; |
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s->cache_used = 0; |
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s->point_cache= av_malloc_array(s->cache_allocated, sizeof(*s->point_cache)); |
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s-> next_cache= av_malloc_array(s->cache_allocated, sizeof(*s-> next_cache)); |
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s-> zyklus = av_malloc_array(s->maxiter + 16, sizeof(*s->zyklus)); |
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if (!s->point_cache || !s->next_cache || !s->zyklus) |
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return AVERROR(ENOMEM); |
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return 0; |
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} |
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static av_cold void uninit(AVFilterContext *ctx) |
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{ |
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MBContext *s = ctx->priv; |
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av_freep(&s->point_cache); |
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av_freep(&s-> next_cache); |
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av_freep(&s->zyklus); |
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} |
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static int config_props(AVFilterLink *outlink) |
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{ |
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AVFilterContext *ctx = outlink->src; |
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FilterLink *l = ff_filter_link(outlink); |
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MBContext *s = ctx->priv; |
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if (av_image_check_size(s->w, s->h, 0, ctx) < 0) |
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return AVERROR(EINVAL); |
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outlink->w = s->w; |
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outlink->h = s->h; |
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outlink->time_base = av_inv_q(s->frame_rate); |
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l->frame_rate = s->frame_rate; |
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return 0; |
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} |
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static void fill_from_cache(AVFilterContext *ctx, uint32_t *color, int *in_cidx, int *out_cidx, double py, double scale){ |
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MBContext *s = ctx->priv; |
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if(s->morphamp) |
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return; |
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for(; *in_cidx < s->cache_used; (*in_cidx)++){ |
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Point *p= &s->point_cache[*in_cidx]; |
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int x; |
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if(p->p[1] > py) |
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break; |
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x= lrint((p->p[0] - s->start_x) / scale + s->w/2); |
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if(x<0 || x >= s->w) |
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continue; |
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if(color) color[x] = p->val; |
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if(out_cidx && *out_cidx < s->cache_allocated) |
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s->next_cache[(*out_cidx)++]= *p; |
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} |
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} |
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static int interpol(MBContext *s, uint32_t *color, int x, int y, int linesize) |
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{ |
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uint32_t a,b,c,d, i; |
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uint32_t ipol=0xFF000000; |
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int dist; |
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if(!x || !y || x+1==s->w || y+1==s->h) |
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return 0; |
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dist= FFMAX(FFABS(x-(s->w>>1))*s->h, FFABS(y-(s->h>>1))*s->w); |
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if(dist<(s->w*s->h>>3)) |
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return 0; |
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a=color[(x+1) + (y+0)*linesize]; |
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b=color[(x-1) + (y+1)*linesize]; |
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c=color[(x+0) + (y+1)*linesize]; |
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d=color[(x+1) + (y+1)*linesize]; |
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if(a&&c){ |
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b= color[(x-1) + (y+0)*linesize]; |
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d= color[(x+0) + (y-1)*linesize]; |
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}else if(b&&d){ |
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a= color[(x+1) + (y-1)*linesize]; |
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c= color[(x-1) + (y-1)*linesize]; |
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}else if(c){ |
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d= color[(x+0) + (y-1)*linesize]; |
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a= color[(x-1) + (y+0)*linesize]; |
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b= color[(x+1) + (y-1)*linesize]; |
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}else if(d){ |
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c= color[(x-1) + (y-1)*linesize]; |
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a= color[(x-1) + (y+0)*linesize]; |
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b= color[(x+1) + (y-1)*linesize]; |
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}else |
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return 0; |
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for(i=0; i<3; i++){ |
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int s= 8*i; |
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uint8_t ac= a>>s; |
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uint8_t bc= b>>s; |
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uint8_t cc= c>>s; |
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uint8_t dc= d>>s; |
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int ipolab= (ac + bc); |
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int ipolcd= (cc + dc); |
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if(FFABS(ipolab - ipolcd) > 5) |
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return 0; |
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if(FFABS(ac-bc)+FFABS(cc-dc) > 20) |
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return 0; |
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ipol |= ((ipolab + ipolcd + 2)/4)<<s; |
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} |
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color[x + y*linesize]= ipol; |
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return 1; |
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} |
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static void draw_mandelbrot(AVFilterContext *ctx, uint32_t *color, int linesize, int64_t pts) |
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{ |
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MBContext *s = ctx->priv; |
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int x,y,i, in_cidx=0, next_cidx=0, tmp_cidx; |
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double scale= s->start_scale*pow(s->end_scale/s->start_scale, pts/s->end_pts); |
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int use_zyklus=0; |
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fill_from_cache(ctx, NULL, &in_cidx, NULL, s->start_y+scale*(-s->h/2-0.5), scale); |
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tmp_cidx= in_cidx; |
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memset(color, 0, sizeof(*color)*s->w); |
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for(y=0; y<s->h; y++){ |
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int y1= y+1; |
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const double ci=s->start_y+scale*(y-s->h/2); |
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fill_from_cache(ctx, NULL, &in_cidx, &next_cidx, ci, scale); |
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if(y1<s->h){ |
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memset(color+linesize*y1, 0, sizeof(*color)*s->w); |
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fill_from_cache(ctx, color+linesize*y1, &tmp_cidx, NULL, ci + 3*scale/2, scale); |
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} |
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for(x=0; x<s->w; x++){ |
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float av_uninit(epsilon); |
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const double cr=s->start_x+scale*(x-s->w/2); |
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double zr=cr; |
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double zi=ci; |
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uint32_t c=0; |
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double dv= s->dither / (double)(1LL<<32); |
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s->dither= s->dither*1664525+1013904223; |
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if(color[x + y*linesize] & 0xFF000000) |
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continue; |
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if(!s->morphamp){ |
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if(interpol(s, color, x, y, linesize)){ |
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if(next_cidx < s->cache_allocated){ |
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s->next_cache[next_cidx ].p[0]= cr; |
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s->next_cache[next_cidx ].p[1]= ci; |
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s->next_cache[next_cidx++].val = color[x + y*linesize]; |
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} |
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continue; |
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} |
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}else{ |
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zr += cos(pts * s->morphxf) * s->morphamp; |
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zi += sin(pts * s->morphyf) * s->morphamp; |
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} |
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use_zyklus= (x==0 || s->inner!=BLACK ||color[x-1 + y*linesize] == 0xFF000000); |
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if(use_zyklus) |
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epsilon= scale*(abs(x-s->w/2) + abs(y-s->h/2))/s->w; |
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#define Z_Z2_C(outr,outi,inr,ini)\ |
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outr= inr*inr - ini*ini + cr;\ |
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outi= 2*inr*ini + ci; |
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#define Z_Z2_C_ZYKLUS(outr,outi,inr,ini, Z)\ |
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Z_Z2_C(outr,outi,inr,ini)\ |
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if(use_zyklus){\ |
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if(Z && fabs(s->zyklus[i>>1][0]-outr)+fabs(s->zyklus[i>>1][1]-outi) <= epsilon)\ |
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break;\ |
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}\ |
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s->zyklus[i][0]= outr;\ |
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s->zyklus[i][1]= outi;\ |
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for(i=0; i<s->maxiter-8; i++){ |
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double t; |
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Z_Z2_C_ZYKLUS(t, zi, zr, zi, 0) |
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i++; |
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Z_Z2_C_ZYKLUS(zr, zi, t, zi, 1) |
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i++; |
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Z_Z2_C_ZYKLUS(t, zi, zr, zi, 0) |
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i++; |
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Z_Z2_C_ZYKLUS(zr, zi, t, zi, 1) |
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i++; |
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Z_Z2_C_ZYKLUS(t, zi, zr, zi, 0) |
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i++; |
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Z_Z2_C_ZYKLUS(zr, zi, t, zi, 1) |
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i++; |
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Z_Z2_C_ZYKLUS(t, zi, zr, zi, 0) |
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i++; |
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Z_Z2_C_ZYKLUS(zr, zi, t, zi, 1) |
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if(zr*zr + zi*zi > s->bailout){ |
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i-= FFMIN(7, i); |
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for(; i<s->maxiter; i++){ |
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zr= s->zyklus[i][0]; |
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zi= s->zyklus[i][1]; |
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if(zr*zr + zi*zi > s->bailout){ |
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switch(s->outer){ |
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case ITERATION_COUNT: |
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zr = i; |
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c = lrintf((sinf(zr)+1)*127) + lrintf((sinf(zr/1.234)+1)*127)*256*256 + lrintf((sinf(zr/100)+1)*127)*256; |
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break; |
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case NORMALIZED_ITERATION_COUNT: |
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zr = i + log2(log(s->bailout) / log(zr*zr + zi*zi)); |
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c = lrintf((sinf(zr)+1)*127) + lrintf((sinf(zr/1.234)+1)*127)*256*256 + lrintf((sinf(zr/100)+1)*127)*256; |
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break; |
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case WHITE: |
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c = 0xFFFFFF; |
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break; |
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case OUTZ: |
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zr /= s->bailout; |
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zi /= s->bailout; |
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c = (((int)(zr*128+128))&0xFF)*256 + (((int)(zi*128+128))&0xFF); |
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} |
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break; |
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} |
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} |
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break; |
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} |
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} |
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if(!c){ |
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if(s->inner==PERIOD){ |
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int j; |
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for(j=i-1; j; j--) |
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if(SQR(s->zyklus[j][0]-zr) + SQR(s->zyklus[j][1]-zi) < epsilon*epsilon*10) |
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break; |
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if(j){ |
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c= i-j; |
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c= ((c<<5)&0xE0) + ((c<<10)&0xE000) + ((c<<15)&0xE00000); |
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} |
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}else if(s->inner==CONVTIME){ |
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c= floor(i*255.0/s->maxiter+dv)*0x010101; |
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} else if(s->inner==MINCOL){ |
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int j; |
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double closest=9999; |
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int closest_index=0; |
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for(j=i-1; j>=0; j--) |
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if(SQR(s->zyklus[j][0]) + SQR(s->zyklus[j][1]) < closest){ |
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closest= SQR(s->zyklus[j][0]) + SQR(s->zyklus[j][1]); |
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closest_index= j; |
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} |
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closest = sqrt(closest); |
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c= lrintf((s->zyklus[closest_index][0]/closest+1)*127+dv) + lrintf((s->zyklus[closest_index][1]/closest+1)*127+dv)*256; |
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} |
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} |
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c |= 0xFF000000; |
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color[x + y*linesize]= c; |
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if(next_cidx < s->cache_allocated){ |
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s->next_cache[next_cidx ].p[0]= cr; |
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s->next_cache[next_cidx ].p[1]= ci; |
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s->next_cache[next_cidx++].val = c; |
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} |
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} |
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fill_from_cache(ctx, NULL, &in_cidx, &next_cidx, ci + scale/2, scale); |
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} |
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FFSWAP(void*, s->next_cache, s->point_cache); |
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s->cache_used = next_cidx; |
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if(s->cache_used == s->cache_allocated) |
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av_log(ctx, AV_LOG_INFO, "Mandelbrot cache is too small!\n"); |
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} |
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static int request_frame(AVFilterLink *link) |
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{ |
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MBContext *s = link->src->priv; |
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AVFrame *picref = ff_get_video_buffer(link, s->w, s->h); |
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if (!picref) |
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return AVERROR(ENOMEM); |
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picref->sample_aspect_ratio = (AVRational) {1, 1}; |
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picref->pts = s->pts++; |
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picref->duration = 1; |
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draw_mandelbrot(link->src, (uint32_t*)picref->data[0], picref->linesize[0]/4, picref->pts); |
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return ff_filter_frame(link, picref); |
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} |
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static const AVFilterPad mandelbrot_outputs[] = { |
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{ |
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.name = "default", |
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.type = AVMEDIA_TYPE_VIDEO, |
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.request_frame = request_frame, |
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.config_props = config_props, |
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}, |
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}; |
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const AVFilter ff_vsrc_mandelbrot = { |
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.name = "mandelbrot", |
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.description = NULL_IF_CONFIG_SMALL("Render a Mandelbrot fractal."), |
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.priv_size = sizeof(MBContext), |
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.priv_class = &mandelbrot_class, |
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.init = init, |
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.uninit = uninit, |
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.inputs = NULL, |
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FILTER_OUTPUTS(mandelbrot_outputs), |
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FILTER_SINGLE_PIXFMT(AV_PIX_FMT_0BGR32), |
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};
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