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4349 Serge 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 
37
#include 
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(sizeof(*mb->point_cache)*mb->cache_allocated);
134
    mb-> next_cache= av_malloc(sizeof(*mb-> next_cache)*mb->cache_allocated);
135
    mb-> zyklus    = av_malloc(sizeof(*mb->zyklus) * (mb->maxiter+16));
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)<
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; yh; 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(y1h){
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; xw; 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; imaxiter-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(; imaxiter; 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 avfilter_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
};