/src/ffmpeg/libavutil/eval.c
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1 | | /* |
2 | | * Copyright (c) 2002-2006 Michael Niedermayer <michaelni@gmx.at> |
3 | | * Copyright (c) 2006 Oded Shimon <ods15@ods15.dyndns.org> |
4 | | * |
5 | | * This file is part of FFmpeg. |
6 | | * |
7 | | * FFmpeg is free software; you can redistribute it and/or |
8 | | * modify it under the terms of the GNU Lesser General Public |
9 | | * License as published by the Free Software Foundation; either |
10 | | * version 2.1 of the License, or (at your option) any later version. |
11 | | * |
12 | | * FFmpeg is distributed in the hope that it will be useful, |
13 | | * but WITHOUT ANY WARRANTY; without even the implied warranty of |
14 | | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
15 | | * Lesser General Public License for more details. |
16 | | * |
17 | | * You should have received a copy of the GNU Lesser General Public |
18 | | * License along with FFmpeg; if not, write to the Free Software |
19 | | * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA |
20 | | */ |
21 | | |
22 | | /** |
23 | | * @file |
24 | | * simple arithmetic expression evaluator. |
25 | | * |
26 | | * see http://joe.hotchkiss.com/programming/eval/eval.html |
27 | | */ |
28 | | |
29 | | #include <float.h> |
30 | | #include "attributes.h" |
31 | | #include "avutil.h" |
32 | | #include "common.h" |
33 | | #include "eval.h" |
34 | | #include "ffmath.h" |
35 | | #include "log.h" |
36 | | #include "mathematics.h" |
37 | | #include "mem.h" |
38 | | #include "sfc64.h" |
39 | | #include "time.h" |
40 | | #include "avstring.h" |
41 | | #include "reverse.h" |
42 | | |
43 | | typedef struct Parser { |
44 | | const AVClass *class; |
45 | | int stack_index; |
46 | | char *s; |
47 | | const double *const_values; |
48 | | const char * const *const_names; // NULL terminated |
49 | | double (* const *funcs1)(void *, double a); // NULL terminated |
50 | | const char * const *func1_names; // NULL terminated |
51 | | double (* const *funcs2)(void *, double a, double b); // NULL terminated |
52 | | const char * const *func2_names; // NULL terminated |
53 | | void *opaque; |
54 | | int log_offset; |
55 | | void *log_ctx; |
56 | 0 | #define VARS 10 |
57 | | double *var; |
58 | | FFSFC64 *prng_state; |
59 | | } Parser; |
60 | | |
61 | | static const AVClass eval_class = { |
62 | | .class_name = "Eval", |
63 | | .item_name = av_default_item_name, |
64 | | .option = NULL, |
65 | | .version = LIBAVUTIL_VERSION_INT, |
66 | | .log_level_offset_offset = offsetof(Parser, log_offset), |
67 | | .parent_log_context_offset = offsetof(Parser, log_ctx), |
68 | | }; |
69 | | |
70 | | static const struct { |
71 | | double bin_val; |
72 | | double dec_val; |
73 | | int8_t exp; |
74 | | } si_prefixes['z' - 'E' + 1] = { |
75 | | ['y'-'E']= { 8.271806125530276749e-25, 1e-24, -24 }, |
76 | | ['z'-'E']= { 8.4703294725430034e-22, 1e-21, -21 }, |
77 | | ['a'-'E']= { 8.6736173798840355e-19, 1e-18, -18 }, |
78 | | ['f'-'E']= { 8.8817841970012523e-16, 1e-15, -15 }, |
79 | | ['p'-'E']= { 9.0949470177292824e-13, 1e-12, -12 }, |
80 | | ['n'-'E']= { 9.3132257461547852e-10, 1e-9, -9 }, |
81 | | ['u'-'E']= { 9.5367431640625e-7, 1e-6, -6 }, |
82 | | ['m'-'E']= { 9.765625e-4, 1e-3, -3 }, |
83 | | ['c'-'E']= { 9.8431332023036951e-3, 1e-2, -2 }, |
84 | | ['d'-'E']= { 9.921256574801246e-2, 1e-1, -1 }, |
85 | | ['h'-'E']= { 1.0159366732596479e2, 1e2, 2 }, |
86 | | ['k'-'E']= { 1.024e3, 1e3, 3 }, |
87 | | ['K'-'E']= { 1.024e3, 1e3, 3 }, |
88 | | ['M'-'E']= { 1.048576e6, 1e6, 6 }, |
89 | | ['G'-'E']= { 1.073741824e9, 1e9, 9 }, |
90 | | ['T'-'E']= { 1.099511627776e12, 1e12, 12 }, |
91 | | ['P'-'E']= { 1.125899906842624e15, 1e15, 15 }, |
92 | | ['E'-'E']= { 1.152921504606847e18, 1e18, 18 }, |
93 | | ['Z'-'E']= { 1.1805916207174113e21, 1e21, 21 }, |
94 | | ['Y'-'E']= { 1.2089258196146292e24, 1e24, 24 }, |
95 | | }; |
96 | | |
97 | | static const struct { |
98 | | const char *name; |
99 | | double value; |
100 | | } constants[] = { |
101 | | { "E", M_E }, |
102 | | { "PI", M_PI }, |
103 | | { "PHI", M_PHI }, |
104 | | { "QP2LAMBDA", FF_QP2LAMBDA }, |
105 | | }; |
106 | | |
107 | | double av_strtod(const char *numstr, char **tail) |
108 | 0 | { |
109 | 0 | double d; |
110 | 0 | char *next; |
111 | 0 | if(numstr[0]=='0' && (numstr[1]|0x20)=='x') { |
112 | 0 | d = strtoul(numstr, &next, 16); |
113 | 0 | } else |
114 | 0 | d = strtod(numstr, &next); |
115 | | /* if parsing succeeded, check for and interpret postfixes */ |
116 | 0 | if (next!=numstr) { |
117 | 0 | if (next[0] == 'd' && next[1] == 'B') { |
118 | | /* treat dB as decibels instead of decibytes */ |
119 | 0 | d = ff_exp10(d / 20); |
120 | 0 | next += 2; |
121 | 0 | } else if (*next >= 'E' && *next <= 'z') { |
122 | 0 | int e= si_prefixes[*next - 'E'].exp; |
123 | 0 | if (e) { |
124 | 0 | if (next[1] == 'i') { |
125 | 0 | d*= si_prefixes[*next - 'E'].bin_val; |
126 | 0 | next+=2; |
127 | 0 | } else { |
128 | 0 | d*= si_prefixes[*next - 'E'].dec_val; |
129 | 0 | next++; |
130 | 0 | } |
131 | 0 | } |
132 | 0 | } |
133 | |
|
134 | 0 | if (*next=='B') { |
135 | 0 | d*=8; |
136 | 0 | next++; |
137 | 0 | } |
138 | 0 | } |
139 | | /* if requested, fill in tail with the position after the last parsed |
140 | | character */ |
141 | 0 | if (tail) |
142 | 0 | *tail = next; |
143 | 0 | return d; |
144 | 0 | } |
145 | | |
146 | 0 | #define IS_IDENTIFIER_CHAR(c) ((c) - '0' <= 9U || (c) - 'a' <= 25U || (c) - 'A' <= 25U || (c) == '_') |
147 | | |
148 | | static int strmatch(const char *s, const char *prefix) |
149 | 0 | { |
150 | 0 | int i; |
151 | 0 | for (i=0; prefix[i]; i++) { |
152 | 0 | if (prefix[i] != s[i]) return 0; |
153 | 0 | } |
154 | | /* return 1 only if the s identifier is terminated */ |
155 | 0 | return !IS_IDENTIFIER_CHAR(s[i]); |
156 | 0 | } |
157 | | |
158 | | struct AVExpr { |
159 | | enum { |
160 | | e_value, e_const, e_func0, e_func1, e_func2, |
161 | | e_squish, e_gauss, e_ld, e_isnan, e_isinf, |
162 | | e_mod, e_max, e_min, e_eq, e_gt, e_gte, e_lte, e_lt, |
163 | | e_pow, e_mul, e_div, e_add, |
164 | | e_last, e_st, e_while, e_taylor, e_root, e_floor, e_ceil, e_trunc, e_round, |
165 | | e_sqrt, e_not, e_random, e_hypot, e_gcd, |
166 | | e_if, e_ifnot, e_print, e_bitand, e_bitor, e_between, e_clip, e_atan2, e_lerp, |
167 | | e_sgn, e_randomi |
168 | | } type; |
169 | | double value; // is sign in other types |
170 | | int const_index; |
171 | | union { |
172 | | double (*func0)(double); |
173 | | double (*func1)(void *, double); |
174 | | double (*func2)(void *, double, double); |
175 | | } a; |
176 | | struct AVExpr *param[3]; |
177 | | double *var; |
178 | | FFSFC64 *prng_state; |
179 | | }; |
180 | | |
181 | | static double etime(double v) |
182 | 0 | { |
183 | 0 | return av_gettime() * 0.000001; |
184 | 0 | } |
185 | | |
186 | | static double eval_expr(Parser *p, AVExpr *e) |
187 | 0 | { |
188 | 0 | switch (e->type) { |
189 | 0 | case e_value: return e->value; |
190 | 0 | case e_const: return e->value * p->const_values[e->const_index]; |
191 | 0 | case e_func0: return e->value * e->a.func0(eval_expr(p, e->param[0])); |
192 | 0 | case e_func1: return e->value * e->a.func1(p->opaque, eval_expr(p, e->param[0])); |
193 | 0 | case e_func2: return e->value * e->a.func2(p->opaque, eval_expr(p, e->param[0]), eval_expr(p, e->param[1])); |
194 | 0 | case e_squish: return 1/(1+exp(4*eval_expr(p, e->param[0]))); |
195 | 0 | case e_gauss: { double d = eval_expr(p, e->param[0]); return exp(-d*d/2)/sqrt(2*M_PI); } |
196 | 0 | case e_ld: return e->value * p->var[av_clip(eval_expr(p, e->param[0]), 0, VARS-1)]; |
197 | 0 | case e_isnan: return e->value * !!isnan(eval_expr(p, e->param[0])); |
198 | 0 | case e_isinf: return e->value * !!isinf(eval_expr(p, e->param[0])); |
199 | 0 | case e_floor: return e->value * floor(eval_expr(p, e->param[0])); |
200 | 0 | case e_ceil : return e->value * ceil (eval_expr(p, e->param[0])); |
201 | 0 | case e_trunc: return e->value * trunc(eval_expr(p, e->param[0])); |
202 | 0 | case e_round: return e->value * round(eval_expr(p, e->param[0])); |
203 | 0 | case e_sgn: return e->value * FFDIFFSIGN(eval_expr(p, e->param[0]), 0); |
204 | 0 | case e_sqrt: return e->value * sqrt (eval_expr(p, e->param[0])); |
205 | 0 | case e_not: return e->value * (eval_expr(p, e->param[0]) == 0); |
206 | 0 | case e_if: return e->value * (eval_expr(p, e->param[0]) ? eval_expr(p, e->param[1]) : |
207 | 0 | e->param[2] ? eval_expr(p, e->param[2]) : 0); |
208 | 0 | case e_ifnot: return e->value * (!eval_expr(p, e->param[0]) ? eval_expr(p, e->param[1]) : |
209 | 0 | e->param[2] ? eval_expr(p, e->param[2]) : 0); |
210 | 0 | case e_clip: { |
211 | 0 | double x = eval_expr(p, e->param[0]); |
212 | 0 | double min = eval_expr(p, e->param[1]), max = eval_expr(p, e->param[2]); |
213 | 0 | if (isnan(min) || isnan(max) || isnan(x) || min > max) |
214 | 0 | return NAN; |
215 | 0 | return e->value * av_clipd(eval_expr(p, e->param[0]), min, max); |
216 | 0 | } |
217 | 0 | case e_between: { |
218 | 0 | double d = eval_expr(p, e->param[0]); |
219 | 0 | return e->value * (d >= eval_expr(p, e->param[1]) && |
220 | 0 | d <= eval_expr(p, e->param[2])); |
221 | 0 | } |
222 | 0 | case e_lerp: { |
223 | 0 | double v0 = eval_expr(p, e->param[0]); |
224 | 0 | double v1 = eval_expr(p, e->param[1]); |
225 | 0 | double f = eval_expr(p, e->param[2]); |
226 | 0 | return v0 + (v1 - v0) * f; |
227 | 0 | } |
228 | 0 | case e_print: { |
229 | 0 | double x = eval_expr(p, e->param[0]); |
230 | 0 | int level = e->param[1] ? av_clip(eval_expr(p, e->param[1]), INT_MIN, INT_MAX) : AV_LOG_INFO; |
231 | 0 | av_log(p, level, "%f\n", x); |
232 | 0 | return x; |
233 | 0 | } |
234 | | |
235 | 0 | #define COMPUTE_NEXT_RANDOM() \ |
236 | 0 | int idx = av_clip(eval_expr(p, e->param[0]), 0, VARS-1); \ |
237 | 0 | FFSFC64 *s = p->prng_state + idx; \ |
238 | 0 | uint64_t r; \ |
239 | 0 | \ |
240 | 0 | if (!s->counter) { \ |
241 | 0 | r = isnan(p->var[idx]) ? 0 : p->var[idx]; \ |
242 | 0 | ff_sfc64_init(s, r, r, r, 12); \ |
243 | 0 | } \ |
244 | 0 | r = ff_sfc64_get(s); \ |
245 | 0 | p->var[idx] = r; \ |
246 | 0 |
|
247 | 0 | case e_random: { |
248 | 0 | COMPUTE_NEXT_RANDOM(); |
249 | 0 | return r * (1.0/UINT64_MAX); |
250 | 0 | } |
251 | 0 | case e_randomi: { |
252 | 0 | double min = eval_expr(p, e->param[1]); |
253 | 0 | double max = eval_expr(p, e->param[2]); |
254 | 0 | COMPUTE_NEXT_RANDOM(); |
255 | 0 | return min + (max - min) * r / UINT64_MAX; |
256 | 0 | } |
257 | 0 | case e_while: { |
258 | 0 | double d = NAN; |
259 | 0 | while (eval_expr(p, e->param[0])) |
260 | 0 | d=eval_expr(p, e->param[1]); |
261 | 0 | return d; |
262 | 0 | } |
263 | 0 | case e_taylor: { |
264 | 0 | double t = 1, d = 0, v; |
265 | 0 | double x = eval_expr(p, e->param[1]); |
266 | 0 | int id = e->param[2] ? av_clip(eval_expr(p, e->param[2]), 0, VARS-1) : 0; |
267 | 0 | int i; |
268 | 0 | double var0 = p->var[id]; |
269 | 0 | for(i=0; i<1000; i++) { |
270 | 0 | double ld = d; |
271 | 0 | p->var[id] = i; |
272 | 0 | v = eval_expr(p, e->param[0]); |
273 | 0 | d += t*v; |
274 | 0 | if(ld==d && v) |
275 | 0 | break; |
276 | 0 | t *= x / (i+1); |
277 | 0 | } |
278 | 0 | p->var[id] = var0; |
279 | 0 | return d; |
280 | 0 | } |
281 | 0 | case e_root: { |
282 | 0 | int i, j; |
283 | 0 | double low = -1, high = -1, v, low_v = -DBL_MAX, high_v = DBL_MAX; |
284 | 0 | double var0 = p->var[0]; |
285 | 0 | double x_max = eval_expr(p, e->param[1]); |
286 | 0 | for(i=-1; i<1024; i++) { |
287 | 0 | if(i<255) { |
288 | 0 | p->var[0] = ff_reverse[i&255]*x_max/255; |
289 | 0 | } else { |
290 | 0 | p->var[0] = x_max*pow(0.9, i-255); |
291 | 0 | if (i&1) p->var[0] *= -1; |
292 | 0 | if (i&2) p->var[0] += low; |
293 | 0 | else p->var[0] += high; |
294 | 0 | } |
295 | 0 | v = eval_expr(p, e->param[0]); |
296 | 0 | if (v<=0 && v>low_v) { |
297 | 0 | low = p->var[0]; |
298 | 0 | low_v = v; |
299 | 0 | } |
300 | 0 | if (v>=0 && v<high_v) { |
301 | 0 | high = p->var[0]; |
302 | 0 | high_v = v; |
303 | 0 | } |
304 | 0 | if (low>=0 && high>=0){ |
305 | 0 | for (j=0; j<1000; j++) { |
306 | 0 | p->var[0] = (low+high)*0.5; |
307 | 0 | if (low == p->var[0] || high == p->var[0]) |
308 | 0 | break; |
309 | 0 | v = eval_expr(p, e->param[0]); |
310 | 0 | if (v<=0) low = p->var[0]; |
311 | 0 | if (v>=0) high= p->var[0]; |
312 | 0 | if (isnan(v)) { |
313 | 0 | low = high = v; |
314 | 0 | break; |
315 | 0 | } |
316 | 0 | } |
317 | 0 | break; |
318 | 0 | } |
319 | 0 | } |
320 | 0 | p->var[0] = var0; |
321 | 0 | return -low_v<high_v ? low : high; |
322 | 0 | } |
323 | 0 | default: { |
324 | 0 | double d = eval_expr(p, e->param[0]); |
325 | 0 | double d2 = eval_expr(p, e->param[1]); |
326 | 0 | switch (e->type) { |
327 | 0 | case e_mod: return e->value * (d - floor(d2 ? d / d2 : d * INFINITY) * d2); |
328 | 0 | case e_gcd: return e->value * av_gcd(d,d2); |
329 | 0 | case e_max: return e->value * (d > d2 ? d : d2); |
330 | 0 | case e_min: return e->value * (d < d2 ? d : d2); |
331 | 0 | case e_eq: return e->value * (d == d2 ? 1.0 : 0.0); |
332 | 0 | case e_gt: return e->value * (d > d2 ? 1.0 : 0.0); |
333 | 0 | case e_gte: return e->value * (d >= d2 ? 1.0 : 0.0); |
334 | 0 | case e_lt: return e->value * (d < d2 ? 1.0 : 0.0); |
335 | 0 | case e_lte: return e->value * (d <= d2 ? 1.0 : 0.0); |
336 | 0 | case e_pow: return e->value * pow(d, d2); |
337 | 0 | case e_mul: return e->value * (d * d2); |
338 | 0 | case e_div: return e->value * (d2 ? (d / d2) : d * INFINITY); |
339 | 0 | case e_add: return e->value * (d + d2); |
340 | 0 | case e_last:return e->value * d2; |
341 | 0 | case e_st : { |
342 | 0 | int index = av_clip(d, 0, VARS-1); |
343 | 0 | p->prng_state[index].counter = 0; |
344 | 0 | return e->value * (p->var[index]= d2); |
345 | 0 | } |
346 | 0 | case e_hypot:return e->value * hypot(d, d2); |
347 | 0 | case e_atan2:return e->value * atan2(d, d2); |
348 | 0 | case e_bitand: return isnan(d) || isnan(d2) ? NAN : e->value * ((long int)d & (long int)d2); |
349 | 0 | case e_bitor: return isnan(d) || isnan(d2) ? NAN : e->value * ((long int)d | (long int)d2); |
350 | 0 | } |
351 | 0 | } |
352 | 0 | } |
353 | 0 | return NAN; |
354 | 0 | } |
355 | | |
356 | | static int parse_expr(AVExpr **e, Parser *p); |
357 | | |
358 | | void av_expr_free(AVExpr *e) |
359 | 0 | { |
360 | 0 | if (!e) return; |
361 | 0 | av_expr_free(e->param[0]); |
362 | 0 | av_expr_free(e->param[1]); |
363 | 0 | av_expr_free(e->param[2]); |
364 | 0 | av_freep(&e->var); |
365 | 0 | av_freep(&e->prng_state); |
366 | 0 | av_freep(&e); |
367 | 0 | } |
368 | | |
369 | | static int parse_primary(AVExpr **e, Parser *p) |
370 | 0 | { |
371 | 0 | AVExpr *d = av_mallocz(sizeof(AVExpr)); |
372 | 0 | char *next = p->s, *s0 = p->s; |
373 | 0 | int ret, i; |
374 | |
|
375 | 0 | if (!d) |
376 | 0 | return AVERROR(ENOMEM); |
377 | | |
378 | | /* number */ |
379 | 0 | d->value = av_strtod(p->s, &next); |
380 | 0 | if (next != p->s) { |
381 | 0 | d->type = e_value; |
382 | 0 | p->s= next; |
383 | 0 | *e = d; |
384 | 0 | return 0; |
385 | 0 | } |
386 | 0 | d->value = 1; |
387 | | |
388 | | /* named constants */ |
389 | 0 | for (i=0; p->const_names && p->const_names[i]; i++) { |
390 | 0 | if (strmatch(p->s, p->const_names[i])) { |
391 | 0 | p->s+= strlen(p->const_names[i]); |
392 | 0 | d->type = e_const; |
393 | 0 | d->const_index = i; |
394 | 0 | *e = d; |
395 | 0 | return 0; |
396 | 0 | } |
397 | 0 | } |
398 | 0 | for (i = 0; i < FF_ARRAY_ELEMS(constants); i++) { |
399 | 0 | if (strmatch(p->s, constants[i].name)) { |
400 | 0 | p->s += strlen(constants[i].name); |
401 | 0 | d->type = e_value; |
402 | 0 | d->value = constants[i].value; |
403 | 0 | *e = d; |
404 | 0 | return 0; |
405 | 0 | } |
406 | 0 | } |
407 | | |
408 | 0 | p->s= strchr(p->s, '('); |
409 | 0 | if (!p->s) { |
410 | 0 | av_log(p, AV_LOG_ERROR, "Undefined constant or missing '(' in '%s'\n", s0); |
411 | 0 | p->s= next; |
412 | 0 | av_expr_free(d); |
413 | 0 | return AVERROR(EINVAL); |
414 | 0 | } |
415 | 0 | p->s++; // "(" |
416 | 0 | if (*next == '(') { // special case do-nothing |
417 | 0 | av_freep(&d); |
418 | 0 | if ((ret = parse_expr(&d, p)) < 0) |
419 | 0 | return ret; |
420 | 0 | if (p->s[0] != ')') { |
421 | 0 | av_log(p, AV_LOG_ERROR, "Missing ')' in '%s'\n", s0); |
422 | 0 | av_expr_free(d); |
423 | 0 | return AVERROR(EINVAL); |
424 | 0 | } |
425 | 0 | p->s++; // ")" |
426 | 0 | *e = d; |
427 | 0 | return 0; |
428 | 0 | } |
429 | 0 | if ((ret = parse_expr(&(d->param[0]), p)) < 0) { |
430 | 0 | av_expr_free(d); |
431 | 0 | return ret; |
432 | 0 | } |
433 | 0 | if (p->s[0]== ',') { |
434 | 0 | p->s++; // "," |
435 | 0 | parse_expr(&d->param[1], p); |
436 | 0 | } |
437 | 0 | if (p->s[0]== ',') { |
438 | 0 | p->s++; // "," |
439 | 0 | parse_expr(&d->param[2], p); |
440 | 0 | } |
441 | 0 | if (p->s[0] != ')') { |
442 | 0 | av_log(p, AV_LOG_ERROR, "Missing ')' or too many args in '%s'\n", s0); |
443 | 0 | av_expr_free(d); |
444 | 0 | return AVERROR(EINVAL); |
445 | 0 | } |
446 | 0 | p->s++; // ")" |
447 | |
|
448 | 0 | d->type = e_func0; |
449 | 0 | if (strmatch(next, "sinh" )) d->a.func0 = sinh; |
450 | 0 | else if (strmatch(next, "cosh" )) d->a.func0 = cosh; |
451 | 0 | else if (strmatch(next, "tanh" )) d->a.func0 = tanh; |
452 | 0 | else if (strmatch(next, "sin" )) d->a.func0 = sin; |
453 | 0 | else if (strmatch(next, "cos" )) d->a.func0 = cos; |
454 | 0 | else if (strmatch(next, "tan" )) d->a.func0 = tan; |
455 | 0 | else if (strmatch(next, "atan" )) d->a.func0 = atan; |
456 | 0 | else if (strmatch(next, "asin" )) d->a.func0 = asin; |
457 | 0 | else if (strmatch(next, "acos" )) d->a.func0 = acos; |
458 | 0 | else if (strmatch(next, "exp" )) d->a.func0 = exp; |
459 | 0 | else if (strmatch(next, "log" )) d->a.func0 = log; |
460 | 0 | else if (strmatch(next, "abs" )) d->a.func0 = fabs; |
461 | 0 | else if (strmatch(next, "time" )) d->a.func0 = etime; |
462 | 0 | else if (strmatch(next, "squish")) d->type = e_squish; |
463 | 0 | else if (strmatch(next, "gauss" )) d->type = e_gauss; |
464 | 0 | else if (strmatch(next, "mod" )) d->type = e_mod; |
465 | 0 | else if (strmatch(next, "max" )) d->type = e_max; |
466 | 0 | else if (strmatch(next, "min" )) d->type = e_min; |
467 | 0 | else if (strmatch(next, "eq" )) d->type = e_eq; |
468 | 0 | else if (strmatch(next, "gte" )) d->type = e_gte; |
469 | 0 | else if (strmatch(next, "gt" )) d->type = e_gt; |
470 | 0 | else if (strmatch(next, "lte" )) d->type = e_lte; |
471 | 0 | else if (strmatch(next, "lt" )) d->type = e_lt; |
472 | 0 | else if (strmatch(next, "ld" )) d->type = e_ld; |
473 | 0 | else if (strmatch(next, "isnan" )) d->type = e_isnan; |
474 | 0 | else if (strmatch(next, "isinf" )) d->type = e_isinf; |
475 | 0 | else if (strmatch(next, "st" )) d->type = e_st; |
476 | 0 | else if (strmatch(next, "while" )) d->type = e_while; |
477 | 0 | else if (strmatch(next, "taylor")) d->type = e_taylor; |
478 | 0 | else if (strmatch(next, "root" )) d->type = e_root; |
479 | 0 | else if (strmatch(next, "floor" )) d->type = e_floor; |
480 | 0 | else if (strmatch(next, "ceil" )) d->type = e_ceil; |
481 | 0 | else if (strmatch(next, "trunc" )) d->type = e_trunc; |
482 | 0 | else if (strmatch(next, "round" )) d->type = e_round; |
483 | 0 | else if (strmatch(next, "sqrt" )) d->type = e_sqrt; |
484 | 0 | else if (strmatch(next, "not" )) d->type = e_not; |
485 | 0 | else if (strmatch(next, "pow" )) d->type = e_pow; |
486 | 0 | else if (strmatch(next, "print" )) d->type = e_print; |
487 | 0 | else if (strmatch(next, "random")) d->type = e_random; |
488 | 0 | else if (strmatch(next, "randomi")) d->type = e_randomi; |
489 | 0 | else if (strmatch(next, "hypot" )) d->type = e_hypot; |
490 | 0 | else if (strmatch(next, "gcd" )) d->type = e_gcd; |
491 | 0 | else if (strmatch(next, "if" )) d->type = e_if; |
492 | 0 | else if (strmatch(next, "ifnot" )) d->type = e_ifnot; |
493 | 0 | else if (strmatch(next, "bitand")) d->type = e_bitand; |
494 | 0 | else if (strmatch(next, "bitor" )) d->type = e_bitor; |
495 | 0 | else if (strmatch(next, "between"))d->type = e_between; |
496 | 0 | else if (strmatch(next, "clip" )) d->type = e_clip; |
497 | 0 | else if (strmatch(next, "atan2" )) d->type = e_atan2; |
498 | 0 | else if (strmatch(next, "lerp" )) d->type = e_lerp; |
499 | 0 | else if (strmatch(next, "sgn" )) d->type = e_sgn; |
500 | 0 | else { |
501 | 0 | for (i=0; p->func1_names && p->func1_names[i]; i++) { |
502 | 0 | if (strmatch(next, p->func1_names[i])) { |
503 | 0 | d->a.func1 = p->funcs1[i]; |
504 | 0 | d->type = e_func1; |
505 | 0 | d->const_index = i; |
506 | 0 | *e = d; |
507 | 0 | return 0; |
508 | 0 | } |
509 | 0 | } |
510 | | |
511 | 0 | for (i=0; p->func2_names && p->func2_names[i]; i++) { |
512 | 0 | if (strmatch(next, p->func2_names[i])) { |
513 | 0 | d->a.func2 = p->funcs2[i]; |
514 | 0 | d->type = e_func2; |
515 | 0 | d->const_index = i; |
516 | 0 | *e = d; |
517 | 0 | return 0; |
518 | 0 | } |
519 | 0 | } |
520 | | |
521 | 0 | av_log(p, AV_LOG_ERROR, "Unknown function in '%s'\n", s0); |
522 | 0 | av_expr_free(d); |
523 | 0 | return AVERROR(EINVAL); |
524 | 0 | } |
525 | | |
526 | 0 | *e = d; |
527 | 0 | return 0; |
528 | 0 | } |
529 | | |
530 | | static AVExpr *make_eval_expr(int type, int value, AVExpr *p0, AVExpr *p1) |
531 | 0 | { |
532 | 0 | AVExpr *e = av_mallocz(sizeof(AVExpr)); |
533 | 0 | if (!e) |
534 | 0 | return NULL; |
535 | 0 | e->type =type ; |
536 | 0 | e->value =value ; |
537 | 0 | e->param[0] =p0 ; |
538 | 0 | e->param[1] =p1 ; |
539 | 0 | return e; |
540 | 0 | } |
541 | | |
542 | | static int parse_pow(AVExpr **e, Parser *p, int *sign) |
543 | 0 | { |
544 | 0 | *sign= (*p->s == '+') - (*p->s == '-'); |
545 | 0 | p->s += *sign&1; |
546 | 0 | return parse_primary(e, p); |
547 | 0 | } |
548 | | |
549 | | static int parse_dB(AVExpr **e, Parser *p, int *sign) |
550 | 0 | { |
551 | | /* do not filter out the negative sign when parsing a dB value. |
552 | | for example, -3dB is not the same as -(3dB) */ |
553 | 0 | if (*p->s == '-') { |
554 | 0 | char *next; |
555 | 0 | av_unused double ignored = strtod(p->s, &next); |
556 | 0 | if (next != p->s && next[0] == 'd' && next[1] == 'B') { |
557 | 0 | *sign = 0; |
558 | 0 | return parse_primary(e, p); |
559 | 0 | } |
560 | 0 | } |
561 | 0 | return parse_pow(e, p, sign); |
562 | 0 | } |
563 | | |
564 | | static int parse_factor(AVExpr **e, Parser *p) |
565 | 0 | { |
566 | 0 | int sign, sign2, ret; |
567 | 0 | AVExpr *e0, *e1, *e2; |
568 | 0 | if ((ret = parse_dB(&e0, p, &sign)) < 0) |
569 | 0 | return ret; |
570 | 0 | while(p->s[0]=='^'){ |
571 | 0 | e1 = e0; |
572 | 0 | p->s++; |
573 | 0 | if ((ret = parse_dB(&e2, p, &sign2)) < 0) { |
574 | 0 | av_expr_free(e1); |
575 | 0 | return ret; |
576 | 0 | } |
577 | 0 | e0 = make_eval_expr(e_pow, 1, e1, e2); |
578 | 0 | if (!e0) { |
579 | 0 | av_expr_free(e1); |
580 | 0 | av_expr_free(e2); |
581 | 0 | return AVERROR(ENOMEM); |
582 | 0 | } |
583 | 0 | if (e0->param[1]) e0->param[1]->value *= (sign2|1); |
584 | 0 | } |
585 | 0 | if (e0) e0->value *= (sign|1); |
586 | |
|
587 | 0 | *e = e0; |
588 | 0 | return 0; |
589 | 0 | } |
590 | | |
591 | | static int parse_term(AVExpr **e, Parser *p) |
592 | 0 | { |
593 | 0 | int ret; |
594 | 0 | AVExpr *e0, *e1, *e2; |
595 | 0 | if ((ret = parse_factor(&e0, p)) < 0) |
596 | 0 | return ret; |
597 | 0 | while (p->s[0]=='*' || p->s[0]=='/') { |
598 | 0 | int c= *p->s++; |
599 | 0 | e1 = e0; |
600 | 0 | if ((ret = parse_factor(&e2, p)) < 0) { |
601 | 0 | av_expr_free(e1); |
602 | 0 | return ret; |
603 | 0 | } |
604 | 0 | e0 = make_eval_expr(c == '*' ? e_mul : e_div, 1, e1, e2); |
605 | 0 | if (!e0) { |
606 | 0 | av_expr_free(e1); |
607 | 0 | av_expr_free(e2); |
608 | 0 | return AVERROR(ENOMEM); |
609 | 0 | } |
610 | 0 | } |
611 | 0 | *e = e0; |
612 | 0 | return 0; |
613 | 0 | } |
614 | | |
615 | | static int parse_subexpr(AVExpr **e, Parser *p) |
616 | 0 | { |
617 | 0 | int ret; |
618 | 0 | AVExpr *e0, *e1, *e2; |
619 | 0 | if ((ret = parse_term(&e0, p)) < 0) |
620 | 0 | return ret; |
621 | 0 | while (*p->s == '+' || *p->s == '-') { |
622 | 0 | e1 = e0; |
623 | 0 | if ((ret = parse_term(&e2, p)) < 0) { |
624 | 0 | av_expr_free(e1); |
625 | 0 | return ret; |
626 | 0 | } |
627 | 0 | e0 = make_eval_expr(e_add, 1, e1, e2); |
628 | 0 | if (!e0) { |
629 | 0 | av_expr_free(e1); |
630 | 0 | av_expr_free(e2); |
631 | 0 | return AVERROR(ENOMEM); |
632 | 0 | } |
633 | 0 | }; |
634 | |
|
635 | 0 | *e = e0; |
636 | 0 | return 0; |
637 | 0 | } |
638 | | |
639 | | static int parse_expr(AVExpr **e, Parser *p) |
640 | 0 | { |
641 | 0 | int ret; |
642 | 0 | AVExpr *e0, *e1, *e2; |
643 | 0 | if (p->stack_index <= 0) //protect against stack overflows |
644 | 0 | return AVERROR(EINVAL); |
645 | 0 | p->stack_index--; |
646 | |
|
647 | 0 | if ((ret = parse_subexpr(&e0, p)) < 0) |
648 | 0 | return ret; |
649 | 0 | while (*p->s == ';') { |
650 | 0 | p->s++; |
651 | 0 | e1 = e0; |
652 | 0 | if ((ret = parse_subexpr(&e2, p)) < 0) { |
653 | 0 | av_expr_free(e1); |
654 | 0 | return ret; |
655 | 0 | } |
656 | 0 | e0 = make_eval_expr(e_last, 1, e1, e2); |
657 | 0 | if (!e0) { |
658 | 0 | av_expr_free(e1); |
659 | 0 | av_expr_free(e2); |
660 | 0 | return AVERROR(ENOMEM); |
661 | 0 | } |
662 | 0 | }; |
663 | |
|
664 | 0 | p->stack_index++; |
665 | 0 | *e = e0; |
666 | 0 | return 0; |
667 | 0 | } |
668 | | |
669 | | static int verify_expr(AVExpr *e) |
670 | 0 | { |
671 | 0 | if (!e) return 0; |
672 | 0 | switch (e->type) { |
673 | 0 | case e_value: |
674 | 0 | case e_const: return 1; |
675 | 0 | case e_func0: |
676 | 0 | case e_func1: |
677 | 0 | case e_squish: |
678 | 0 | case e_ld: |
679 | 0 | case e_gauss: |
680 | 0 | case e_isnan: |
681 | 0 | case e_isinf: |
682 | 0 | case e_floor: |
683 | 0 | case e_ceil: |
684 | 0 | case e_trunc: |
685 | 0 | case e_round: |
686 | 0 | case e_sqrt: |
687 | 0 | case e_not: |
688 | 0 | case e_random: |
689 | 0 | case e_sgn: |
690 | 0 | return verify_expr(e->param[0]) && !e->param[1]; |
691 | 0 | case e_print: |
692 | 0 | return verify_expr(e->param[0]) |
693 | 0 | && (!e->param[1] || verify_expr(e->param[1])); |
694 | 0 | case e_if: |
695 | 0 | case e_ifnot: |
696 | 0 | case e_taylor: |
697 | 0 | return verify_expr(e->param[0]) && verify_expr(e->param[1]) |
698 | 0 | && (!e->param[2] || verify_expr(e->param[2])); |
699 | 0 | case e_between: |
700 | 0 | case e_clip: |
701 | 0 | case e_lerp: |
702 | 0 | case e_randomi: |
703 | 0 | return verify_expr(e->param[0]) && |
704 | 0 | verify_expr(e->param[1]) && |
705 | 0 | verify_expr(e->param[2]); |
706 | 0 | default: return verify_expr(e->param[0]) && verify_expr(e->param[1]) && !e->param[2]; |
707 | 0 | } |
708 | 0 | } |
709 | | |
710 | | int av_expr_parse(AVExpr **expr, const char *s, |
711 | | const char * const *const_names, |
712 | | const char * const *func1_names, double (* const *funcs1)(void *, double), |
713 | | const char * const *func2_names, double (* const *funcs2)(void *, double, double), |
714 | | int log_offset, void *log_ctx) |
715 | 0 | { |
716 | 0 | Parser p = { 0 }; |
717 | 0 | AVExpr *e = NULL; |
718 | 0 | char *w = av_malloc(strlen(s) + 1); |
719 | 0 | char *wp = w; |
720 | 0 | const char *s0 = s; |
721 | 0 | int ret = 0; |
722 | |
|
723 | 0 | if (!w) |
724 | 0 | return AVERROR(ENOMEM); |
725 | | |
726 | 0 | while (*s) |
727 | 0 | if (!av_isspace(*s++)) *wp++ = s[-1]; |
728 | 0 | *wp++ = 0; |
729 | |
|
730 | 0 | p.class = &eval_class; |
731 | 0 | p.stack_index=100; |
732 | 0 | p.s= w; |
733 | 0 | p.const_names = const_names; |
734 | 0 | p.funcs1 = funcs1; |
735 | 0 | p.func1_names = func1_names; |
736 | 0 | p.funcs2 = funcs2; |
737 | 0 | p.func2_names = func2_names; |
738 | 0 | p.log_offset = log_offset; |
739 | 0 | p.log_ctx = log_ctx; |
740 | |
|
741 | 0 | if ((ret = parse_expr(&e, &p)) < 0) |
742 | 0 | goto end; |
743 | 0 | if (*p.s) { |
744 | 0 | av_log(&p, AV_LOG_ERROR, "Invalid chars '%s' at the end of expression '%s'\n", p.s, s0); |
745 | 0 | ret = AVERROR(EINVAL); |
746 | 0 | goto end; |
747 | 0 | } |
748 | 0 | if (!verify_expr(e)) { |
749 | 0 | ret = AVERROR(EINVAL); |
750 | 0 | goto end; |
751 | 0 | } |
752 | 0 | e->var= av_mallocz(sizeof(double) *VARS); |
753 | 0 | e->prng_state = av_mallocz(sizeof(*e->prng_state) *VARS); |
754 | 0 | if (!e->var || !e->prng_state) { |
755 | 0 | ret = AVERROR(ENOMEM); |
756 | 0 | goto end; |
757 | 0 | } |
758 | 0 | *expr = e; |
759 | 0 | e = NULL; |
760 | 0 | end: |
761 | 0 | av_expr_free(e); |
762 | 0 | av_free(w); |
763 | 0 | return ret; |
764 | 0 | } |
765 | | |
766 | | static int expr_count(AVExpr *e, unsigned *counter, int size, int type) |
767 | 0 | { |
768 | 0 | int i; |
769 | |
|
770 | 0 | if (!e || !counter || !size) |
771 | 0 | return AVERROR(EINVAL); |
772 | | |
773 | 0 | for (i = 0; e->type != type && i < 3 && e->param[i]; i++) |
774 | 0 | expr_count(e->param[i], counter, size, type); |
775 | |
|
776 | 0 | if (e->type == type && e->const_index < size) |
777 | 0 | counter[e->const_index]++; |
778 | |
|
779 | 0 | return 0; |
780 | 0 | } |
781 | | |
782 | | int av_expr_count_vars(AVExpr *e, unsigned *counter, int size) |
783 | 0 | { |
784 | 0 | return expr_count(e, counter, size, e_const); |
785 | 0 | } |
786 | | |
787 | | int av_expr_count_func(AVExpr *e, unsigned *counter, int size, int arg) |
788 | 0 | { |
789 | 0 | return expr_count(e, counter, size, ((int[]){e_const, e_func1, e_func2})[arg]); |
790 | 0 | } |
791 | | |
792 | | double av_expr_eval(AVExpr *e, const double *const_values, void *opaque) |
793 | 0 | { |
794 | 0 | Parser p = { |
795 | 0 | .class = &eval_class, |
796 | 0 | .const_values = const_values, |
797 | 0 | .opaque = opaque, |
798 | 0 | .var = e->var, |
799 | 0 | .prng_state = e->prng_state, |
800 | 0 | }; |
801 | |
|
802 | 0 | return eval_expr(&p, e); |
803 | 0 | } |
804 | | |
805 | | int av_expr_parse_and_eval(double *d, const char *s, |
806 | | const char * const *const_names, const double *const_values, |
807 | | const char * const *func1_names, double (* const *funcs1)(void *, double), |
808 | | const char * const *func2_names, double (* const *funcs2)(void *, double, double), |
809 | | void *opaque, int log_offset, void *log_ctx) |
810 | 0 | { |
811 | 0 | AVExpr *e = NULL; |
812 | 0 | int ret = av_expr_parse(&e, s, const_names, func1_names, funcs1, func2_names, funcs2, log_offset, log_ctx); |
813 | |
|
814 | 0 | if (ret < 0) { |
815 | 0 | *d = NAN; |
816 | 0 | return ret; |
817 | 0 | } |
818 | 0 | *d = av_expr_eval(e, const_values, opaque); |
819 | 0 | av_expr_free(e); |
820 | 0 | return isnan(*d) ? AVERROR(EINVAL) : 0; |
821 | 0 | } |