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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 | enum Outer outer; | |
73 | enum Inner 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 | ff_set_common_formats(ctx, ff_make_format_list(pix_fmts)); | |
157 | return 0; | |
158 | } | |
159 | ||
160 | static int config_props(AVFilterLink *inlink) | |
161 | { | |
162 | AVFilterContext *ctx = inlink->src; | |
163 | MBContext *mb = ctx->priv; | |
164 | ||
165 | if (av_image_check_size(mb->w, mb->h, 0, ctx) < 0) | |
166 | return AVERROR(EINVAL); | |
167 | ||
168 | inlink->w = mb->w; | |
169 | inlink->h = mb->h; | |
170 | inlink->time_base = av_inv_q(mb->frame_rate); | |
171 | ||
172 | return 0; | |
173 | } | |
174 | ||
175 | static void fill_from_cache(AVFilterContext *ctx, uint32_t *color, int *in_cidx, int *out_cidx, double py, double scale){ | |
176 | MBContext *mb = ctx->priv; | |
177 | if(mb->morphamp) | |
178 | return; | |
179 | for(; *in_cidx < mb->cache_used; (*in_cidx)++){ | |
180 | Point *p= &mb->point_cache[*in_cidx]; | |
181 | int x; | |
182 | if(p->p[1] > py) | |
183 | break; | |
184 | x= round((p->p[0] - mb->start_x) / scale + mb->w/2); | |
185 | if(x<0 || x >= mb->w) | |
186 | continue; | |
187 | if(color) color[x] = p->val; | |
188 | if(out_cidx && *out_cidx < mb->cache_allocated) | |
189 | mb->next_cache[(*out_cidx)++]= *p; | |
190 | } | |
191 | } | |
192 | ||
193 | static int interpol(MBContext *mb, uint32_t *color, int x, int y, int linesize) | |
194 | { | |
195 | uint32_t a,b,c,d, i; | |
196 | uint32_t ipol=0xFF000000; | |
197 | int dist; | |
198 | ||
199 | if(!x || !y || x+1==mb->w || y+1==mb->h) | |
200 | return 0; | |
201 | ||
202 | dist= FFMAX(FFABS(x-(mb->w>>1))*mb->h, FFABS(y-(mb->h>>1))*mb->w); | |
203 | ||
204 | if(dist<(mb->w*mb->h>>3)) | |
205 | return 0; | |
206 | ||
207 | a=color[(x+1) + (y+0)*linesize]; | |
208 | b=color[(x-1) + (y+1)*linesize]; | |
209 | c=color[(x+0) + (y+1)*linesize]; | |
210 | d=color[(x+1) + (y+1)*linesize]; | |
211 | ||
212 | if(a&&c){ | |
213 | b= color[(x-1) + (y+0)*linesize]; | |
214 | d= color[(x+0) + (y-1)*linesize]; | |
215 | }else if(b&&d){ | |
216 | a= color[(x+1) + (y-1)*linesize]; | |
217 | c= color[(x-1) + (y-1)*linesize]; | |
218 | }else if(c){ | |
219 | d= color[(x+0) + (y-1)*linesize]; | |
220 | a= color[(x-1) + (y+0)*linesize]; | |
221 | b= color[(x+1) + (y-1)*linesize]; | |
222 | }else if(d){ | |
223 | c= color[(x-1) + (y-1)*linesize]; | |
224 | a= color[(x-1) + (y+0)*linesize]; | |
225 | b= color[(x+1) + (y-1)*linesize]; | |
226 | }else | |
227 | return 0; | |
228 | ||
229 | for(i=0; i<3; i++){ | |
230 | int s= 8*i; | |
231 | uint8_t ac= a>>s; | |
232 | uint8_t bc= b>>s; | |
233 | uint8_t cc= c>>s; | |
234 | uint8_t dc= d>>s; | |
235 | int ipolab= (ac + bc); | |
236 | int ipolcd= (cc + dc); | |
237 | if(FFABS(ipolab - ipolcd) > 5) | |
238 | return 0; | |
239 | if(FFABS(ac-bc)+FFABS(cc-dc) > 20) | |
240 | return 0; | |
241 | ipol |= ((ipolab + ipolcd + 2)/4)<<s; | |
242 | } | |
243 | color[x + y*linesize]= ipol; | |
244 | return 1; | |
245 | } | |
246 | ||
247 | static void draw_mandelbrot(AVFilterContext *ctx, uint32_t *color, int linesize, int64_t pts) | |
248 | { | |
249 | MBContext *mb = ctx->priv; | |
250 | int x,y,i, in_cidx=0, next_cidx=0, tmp_cidx; | |
251 | double scale= mb->start_scale*pow(mb->end_scale/mb->start_scale, pts/mb->end_pts); | |
252 | int use_zyklus=0; | |
253 | fill_from_cache(ctx, NULL, &in_cidx, NULL, mb->start_y+scale*(-mb->h/2-0.5), scale); | |
254 | tmp_cidx= in_cidx; | |
255 | memset(color, 0, sizeof(*color)*mb->w); | |
256 | for(y=0; y<mb->h; y++){ | |
257 | int y1= y+1; | |
258 | const double ci=mb->start_y+scale*(y-mb->h/2); | |
259 | fill_from_cache(ctx, NULL, &in_cidx, &next_cidx, ci, scale); | |
260 | if(y1<mb->h){ | |
261 | memset(color+linesize*y1, 0, sizeof(*color)*mb->w); | |
262 | fill_from_cache(ctx, color+linesize*y1, &tmp_cidx, NULL, ci + 3*scale/2, scale); | |
263 | } | |
264 | ||
265 | for(x=0; x<mb->w; x++){ | |
266 | float av_uninit(epsilon); | |
267 | const double cr=mb->start_x+scale*(x-mb->w/2); | |
268 | double zr=cr; | |
269 | double zi=ci; | |
270 | uint32_t c=0; | |
271 | double dv= mb->dither / (double)(1LL<<32); | |
272 | mb->dither= mb->dither*1664525+1013904223; | |
273 | ||
274 | if(color[x + y*linesize] & 0xFF000000) | |
275 | continue; | |
276 | if(!mb->morphamp){ | |
277 | if(interpol(mb, color, x, y, linesize)){ | |
278 | if(next_cidx < mb->cache_allocated){ | |
279 | mb->next_cache[next_cidx ].p[0]= cr; | |
280 | mb->next_cache[next_cidx ].p[1]= ci; | |
281 | mb->next_cache[next_cidx++].val = color[x + y*linesize]; | |
282 | } | |
283 | continue; | |
284 | } | |
285 | }else{ | |
286 | zr += cos(pts * mb->morphxf) * mb->morphamp; | |
287 | zi += sin(pts * mb->morphyf) * mb->morphamp; | |
288 | } | |
289 | ||
290 | use_zyklus= (x==0 || mb->inner!=BLACK ||color[x-1 + y*linesize] == 0xFF000000); | |
291 | if(use_zyklus) | |
292 | epsilon= scale*1*sqrt(SQR(x-mb->w/2) + SQR(y-mb->h/2))/mb->w; | |
293 | ||
294 | #define Z_Z2_C(outr,outi,inr,ini)\ | |
295 | outr= inr*inr - ini*ini + cr;\ | |
296 | outi= 2*inr*ini + ci; | |
297 | ||
298 | #define Z_Z2_C_ZYKLUS(outr,outi,inr,ini, Z)\ | |
299 | Z_Z2_C(outr,outi,inr,ini)\ | |
300 | if(use_zyklus){\ | |
301 | if(Z && fabs(mb->zyklus[i>>1][0]-outr)+fabs(mb->zyklus[i>>1][1]-outi) <= epsilon)\ | |
302 | break;\ | |
303 | }\ | |
304 | mb->zyklus[i][0]= outr;\ | |
305 | mb->zyklus[i][1]= outi;\ | |
306 | ||
307 | ||
308 | ||
309 | for(i=0; i<mb->maxiter-8; i++){ | |
310 | double t; | |
311 | Z_Z2_C_ZYKLUS(t, zi, zr, zi, 0) | |
312 | i++; | |
313 | Z_Z2_C_ZYKLUS(zr, zi, t, zi, 1) | |
314 | i++; | |
315 | Z_Z2_C_ZYKLUS(t, zi, zr, zi, 0) | |
316 | i++; | |
317 | Z_Z2_C_ZYKLUS(zr, zi, t, zi, 1) | |
318 | i++; | |
319 | Z_Z2_C_ZYKLUS(t, zi, zr, zi, 0) | |
320 | i++; | |
321 | Z_Z2_C_ZYKLUS(zr, zi, t, zi, 1) | |
322 | i++; | |
323 | Z_Z2_C_ZYKLUS(t, zi, zr, zi, 0) | |
324 | i++; | |
325 | Z_Z2_C_ZYKLUS(zr, zi, t, zi, 1) | |
326 | if(zr*zr + zi*zi > mb->bailout){ | |
327 | i-= FFMIN(7, i); | |
328 | for(; i<mb->maxiter; i++){ | |
329 | zr= mb->zyklus[i][0]; | |
330 | zi= mb->zyklus[i][1]; | |
331 | if(zr*zr + zi*zi > mb->bailout){ | |
332 | switch(mb->outer){ | |
333 | case ITERATION_COUNT: | |
334 | zr = i; | |
335 | c = lrintf((sin(zr)+1)*127) + lrintf((sin(zr/1.234)+1)*127)*256*256 + lrintf((sin(zr/100)+1)*127)*256; | |
336 | break; | |
337 | case NORMALIZED_ITERATION_COUNT: | |
338 | zr = i + log2(log(mb->bailout) / log(zr*zr + zi*zi)); | |
339 | c = lrintf((sin(zr)+1)*127) + lrintf((sin(zr/1.234)+1)*127)*256*256 + lrintf((sin(zr/100)+1)*127)*256; | |
340 | break; | |
341 | case WHITE: | |
342 | c = 0xFFFFFF; | |
343 | break; | |
344 | case OUTZ: | |
345 | zr /= mb->bailout; | |
346 | zi /= mb->bailout; | |
347 | c = (((int)(zr*128+128))&0xFF)*256 + (((int)(zi*128+128))&0xFF); | |
348 | } | |
349 | break; | |
350 | } | |
351 | } | |
352 | break; | |
353 | } | |
354 | } | |
355 | if(!c){ | |
356 | if(mb->inner==PERIOD){ | |
357 | int j; | |
358 | for(j=i-1; j; j--) | |
359 | if(SQR(mb->zyklus[j][0]-zr) + SQR(mb->zyklus[j][1]-zi) < epsilon*epsilon*10) | |
360 | break; | |
361 | if(j){ | |
362 | c= i-j; | |
363 | c= ((c<<5)&0xE0) + ((c<<10)&0xE000) + ((c<<15)&0xE00000); | |
364 | } | |
365 | }else if(mb->inner==CONVTIME){ | |
366 | c= floor(i*255.0/mb->maxiter+dv)*0x010101; | |
367 | } else if(mb->inner==MINCOL){ | |
368 | int j; | |
369 | double closest=9999; | |
370 | int closest_index=0; | |
371 | for(j=i-1; j>=0; j--) | |
372 | if(SQR(mb->zyklus[j][0]) + SQR(mb->zyklus[j][1]) < closest){ | |
373 | closest= SQR(mb->zyklus[j][0]) + SQR(mb->zyklus[j][1]); | |
374 | closest_index= j; | |
375 | } | |
376 | closest = sqrt(closest); | |
377 | c= lrintf((mb->zyklus[closest_index][0]/closest+1)*127+dv) + lrintf((mb->zyklus[closest_index][1]/closest+1)*127+dv)*256; | |
378 | } | |
379 | } | |
380 | c |= 0xFF000000; | |
381 | color[x + y*linesize]= c; | |
382 | if(next_cidx < mb->cache_allocated){ | |
383 | mb->next_cache[next_cidx ].p[0]= cr; | |
384 | mb->next_cache[next_cidx ].p[1]= ci; | |
385 | mb->next_cache[next_cidx++].val = c; | |
386 | } | |
387 | } | |
388 | fill_from_cache(ctx, NULL, &in_cidx, &next_cidx, ci + scale/2, scale); | |
389 | } | |
390 | FFSWAP(void*, mb->next_cache, mb->point_cache); | |
391 | mb->cache_used = next_cidx; | |
392 | if(mb->cache_used == mb->cache_allocated) | |
393 | av_log(ctx, AV_LOG_INFO, "Mandelbrot cache is too small!\n"); | |
394 | } | |
395 | ||
396 | static int request_frame(AVFilterLink *link) | |
397 | { | |
398 | MBContext *mb = link->src->priv; | |
399 | AVFrame *picref = ff_get_video_buffer(link, mb->w, mb->h); | |
400 | if (!picref) | |
401 | return AVERROR(ENOMEM); | |
402 | ||
403 | picref->sample_aspect_ratio = (AVRational) {1, 1}; | |
404 | picref->pts = mb->pts++; | |
405 | ||
406 | draw_mandelbrot(link->src, (uint32_t*)picref->data[0], picref->linesize[0]/4, picref->pts); | |
407 | return ff_filter_frame(link, picref); | |
408 | } | |
409 | ||
410 | static const AVFilterPad mandelbrot_outputs[] = { | |
411 | { | |
412 | .name = "default", | |
413 | .type = AVMEDIA_TYPE_VIDEO, | |
414 | .request_frame = request_frame, | |
415 | .config_props = config_props, | |
416 | }, | |
417 | { NULL } | |
418 | }; | |
419 | ||
420 | AVFilter ff_vsrc_mandelbrot = { | |
421 | .name = "mandelbrot", | |
422 | .description = NULL_IF_CONFIG_SMALL("Render a Mandelbrot fractal."), | |
423 | .priv_size = sizeof(MBContext), | |
424 | .priv_class = &mandelbrot_class, | |
425 | .init = init, | |
426 | .uninit = uninit, | |
427 | .query_formats = query_formats, | |
428 | .inputs = NULL, | |
429 | .outputs = mandelbrot_outputs, | |
430 | }; |