blob: 2f6944f02fd7aa79607cbc3ee2f70ad472ee5c27
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 fractal 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 *s = ctx->priv; |
125 | |
126 | s->bailout *= s->bailout; |
127 | |
128 | s->start_scale /=s->h; |
129 | s->end_scale /=s->h; |
130 | |
131 | s->cache_allocated = s->w * s->h * 3; |
132 | s->cache_used = 0; |
133 | s->point_cache= av_malloc_array(s->cache_allocated, sizeof(*s->point_cache)); |
134 | s-> next_cache= av_malloc_array(s->cache_allocated, sizeof(*s-> next_cache)); |
135 | s-> zyklus = av_malloc_array(s->maxiter + 16, sizeof(*s->zyklus)); |
136 | |
137 | return 0; |
138 | } |
139 | |
140 | static av_cold void uninit(AVFilterContext *ctx) |
141 | { |
142 | MBContext *s = ctx->priv; |
143 | |
144 | av_freep(&s->point_cache); |
145 | av_freep(&s-> next_cache); |
146 | av_freep(&s->zyklus); |
147 | } |
148 | |
149 | static int query_formats(AVFilterContext *ctx) |
150 | { |
151 | static const enum AVPixelFormat pix_fmts[] = { |
152 | AV_PIX_FMT_0BGR32, |
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 *s = ctx->priv; |
166 | |
167 | if (av_image_check_size(s->w, s->h, 0, ctx) < 0) |
168 | return AVERROR(EINVAL); |
169 | |
170 | inlink->w = s->w; |
171 | inlink->h = s->h; |
172 | inlink->time_base = av_inv_q(s->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 *s = ctx->priv; |
179 | if(s->morphamp) |
180 | return; |
181 | for(; *in_cidx < s->cache_used; (*in_cidx)++){ |
182 | Point *p= &s->point_cache[*in_cidx]; |
183 | int x; |
184 | if(p->p[1] > py) |
185 | break; |
186 | x= lrint((p->p[0] - s->start_x) / scale + s->w/2); |
187 | if(x<0 || x >= s->w) |
188 | continue; |
189 | if(color) color[x] = p->val; |
190 | if(out_cidx && *out_cidx < s->cache_allocated) |
191 | s->next_cache[(*out_cidx)++]= *p; |
192 | } |
193 | } |
194 | |
195 | static int interpol(MBContext *s, 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==s->w || y+1==s->h) |
202 | return 0; |
203 | |
204 | dist= FFMAX(FFABS(x-(s->w>>1))*s->h, FFABS(y-(s->h>>1))*s->w); |
205 | |
206 | if(dist<(s->w*s->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 *s = ctx->priv; |
252 | int x,y,i, in_cidx=0, next_cidx=0, tmp_cidx; |
253 | double scale= s->start_scale*pow(s->end_scale/s->start_scale, pts/s->end_pts); |
254 | int use_zyklus=0; |
255 | fill_from_cache(ctx, NULL, &in_cidx, NULL, s->start_y+scale*(-s->h/2-0.5), scale); |
256 | tmp_cidx= in_cidx; |
257 | memset(color, 0, sizeof(*color)*s->w); |
258 | for(y=0; y<s->h; y++){ |
259 | int y1= y+1; |
260 | const double ci=s->start_y+scale*(y-s->h/2); |
261 | fill_from_cache(ctx, NULL, &in_cidx, &next_cidx, ci, scale); |
262 | if(y1<s->h){ |
263 | memset(color+linesize*y1, 0, sizeof(*color)*s->w); |
264 | fill_from_cache(ctx, color+linesize*y1, &tmp_cidx, NULL, ci + 3*scale/2, scale); |
265 | } |
266 | |
267 | for(x=0; x<s->w; x++){ |
268 | float av_uninit(epsilon); |
269 | const double cr=s->start_x+scale*(x-s->w/2); |
270 | double zr=cr; |
271 | double zi=ci; |
272 | uint32_t c=0; |
273 | double dv= s->dither / (double)(1LL<<32); |
274 | s->dither= s->dither*1664525+1013904223; |
275 | |
276 | if(color[x + y*linesize] & 0xFF000000) |
277 | continue; |
278 | if(!s->morphamp){ |
279 | if(interpol(s, color, x, y, linesize)){ |
280 | if(next_cidx < s->cache_allocated){ |
281 | s->next_cache[next_cidx ].p[0]= cr; |
282 | s->next_cache[next_cidx ].p[1]= ci; |
283 | s->next_cache[next_cidx++].val = color[x + y*linesize]; |
284 | } |
285 | continue; |
286 | } |
287 | }else{ |
288 | zr += cos(pts * s->morphxf) * s->morphamp; |
289 | zi += sin(pts * s->morphyf) * s->morphamp; |
290 | } |
291 | |
292 | use_zyklus= (x==0 || s->inner!=BLACK ||color[x-1 + y*linesize] == 0xFF000000); |
293 | if(use_zyklus) |
294 | epsilon= scale*(abs(x-s->w/2) + abs(y-s->h/2))/s->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(s->zyklus[i>>1][0]-outr)+fabs(s->zyklus[i>>1][1]-outi) <= epsilon)\ |
304 | break;\ |
305 | }\ |
306 | s->zyklus[i][0]= outr;\ |
307 | s->zyklus[i][1]= outi;\ |
308 | |
309 | |
310 | |
311 | for(i=0; i<s->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 > s->bailout){ |
329 | i-= FFMIN(7, i); |
330 | for(; i<s->maxiter; i++){ |
331 | zr= s->zyklus[i][0]; |
332 | zi= s->zyklus[i][1]; |
333 | if(zr*zr + zi*zi > s->bailout){ |
334 | switch(s->outer){ |
335 | case ITERATION_COUNT: |
336 | zr = i; |
337 | c = lrintf((sinf(zr)+1)*127) + lrintf((sinf(zr/1.234)+1)*127)*256*256 + lrintf((sinf(zr/100)+1)*127)*256; |
338 | break; |
339 | case NORMALIZED_ITERATION_COUNT: |
340 | zr = i + log2(log(s->bailout) / log(zr*zr + zi*zi)); |
341 | c = lrintf((sinf(zr)+1)*127) + lrintf((sinf(zr/1.234)+1)*127)*256*256 + lrintf((sinf(zr/100)+1)*127)*256; |
342 | break; |
343 | case WHITE: |
344 | c = 0xFFFFFF; |
345 | break; |
346 | case OUTZ: |
347 | zr /= s->bailout; |
348 | zi /= s->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(s->inner==PERIOD){ |
359 | int j; |
360 | for(j=i-1; j; j--) |
361 | if(SQR(s->zyklus[j][0]-zr) + SQR(s->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(s->inner==CONVTIME){ |
368 | c= floor(i*255.0/s->maxiter+dv)*0x010101; |
369 | } else if(s->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(s->zyklus[j][0]) + SQR(s->zyklus[j][1]) < closest){ |
375 | closest= SQR(s->zyklus[j][0]) + SQR(s->zyklus[j][1]); |
376 | closest_index= j; |
377 | } |
378 | closest = sqrt(closest); |
379 | c= lrintf((s->zyklus[closest_index][0]/closest+1)*127+dv) + lrintf((s->zyklus[closest_index][1]/closest+1)*127+dv)*256; |
380 | } |
381 | } |
382 | c |= 0xFF000000; |
383 | color[x + y*linesize]= c; |
384 | if(next_cidx < s->cache_allocated){ |
385 | s->next_cache[next_cidx ].p[0]= cr; |
386 | s->next_cache[next_cidx ].p[1]= ci; |
387 | s->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*, s->next_cache, s->point_cache); |
393 | s->cache_used = next_cidx; |
394 | if(s->cache_used == s->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 *s = link->src->priv; |
401 | AVFrame *picref = ff_get_video_buffer(link, s->w, s->h); |
402 | if (!picref) |
403 | return AVERROR(ENOMEM); |
404 | |
405 | picref->sample_aspect_ratio = (AVRational) {1, 1}; |
406 | picref->pts = s->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 | }; |
433 |