blob: 7e866155dbe5a119eaa208143fec6df8384254c7
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 "internal.h" |
36 | #include "log.h" |
37 | #include "mathematics.h" |
38 | #include "time.h" |
39 | #include "avstring.h" |
40 | #include "timer.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 | #define VARS 10 |
57 | double *var; |
58 | } Parser; |
59 | |
60 | static const AVClass eval_class = { "Eval", av_default_item_name, NULL, LIBAVUTIL_VERSION_INT, offsetof(Parser,log_offset), offsetof(Parser,log_ctx) }; |
61 | |
62 | static const struct { |
63 | double bin_val; |
64 | double dec_val; |
65 | int8_t exp; |
66 | } si_prefixes['z' - 'E' + 1] = { |
67 | ['y'-'E']= { 8.271806125530276749e-25, 1e-24, -24 }, |
68 | ['z'-'E']= { 8.4703294725430034e-22, 1e-21, -21 }, |
69 | ['a'-'E']= { 8.6736173798840355e-19, 1e-18, -18 }, |
70 | ['f'-'E']= { 8.8817841970012523e-16, 1e-15, -15 }, |
71 | ['p'-'E']= { 9.0949470177292824e-13, 1e-12, -12 }, |
72 | ['n'-'E']= { 9.3132257461547852e-10, 1e-9, -9 }, |
73 | ['u'-'E']= { 9.5367431640625e-7, 1e-6, -6 }, |
74 | ['m'-'E']= { 9.765625e-4, 1e-3, -3 }, |
75 | ['c'-'E']= { 9.8431332023036951e-3, 1e-2, -2 }, |
76 | ['d'-'E']= { 9.921256574801246e-2, 1e-1, -1 }, |
77 | ['h'-'E']= { 1.0159366732596479e2, 1e2, 2 }, |
78 | ['k'-'E']= { 1.024e3, 1e3, 3 }, |
79 | ['K'-'E']= { 1.024e3, 1e3, 3 }, |
80 | ['M'-'E']= { 1.048576e6, 1e6, 6 }, |
81 | ['G'-'E']= { 1.073741824e9, 1e9, 9 }, |
82 | ['T'-'E']= { 1.099511627776e12, 1e12, 12 }, |
83 | ['P'-'E']= { 1.125899906842624e15, 1e15, 15 }, |
84 | ['E'-'E']= { 1.152921504606847e18, 1e18, 18 }, |
85 | ['Z'-'E']= { 1.1805916207174113e21, 1e21, 21 }, |
86 | ['Y'-'E']= { 1.2089258196146292e24, 1e24, 24 }, |
87 | }; |
88 | |
89 | static const struct { |
90 | const char *name; |
91 | double value; |
92 | } constants[] = { |
93 | { "E", M_E }, |
94 | { "PI", M_PI }, |
95 | { "PHI", M_PHI }, |
96 | { "QP2LAMBDA", FF_QP2LAMBDA }, |
97 | }; |
98 | |
99 | double av_strtod(const char *numstr, char **tail) |
100 | { |
101 | double d; |
102 | char *next; |
103 | if(numstr[0]=='0' && (numstr[1]|0x20)=='x') { |
104 | d = strtoul(numstr, &next, 16); |
105 | } else |
106 | d = strtod(numstr, &next); |
107 | /* if parsing succeeded, check for and interpret postfixes */ |
108 | if (next!=numstr) { |
109 | if (next[0] == 'd' && next[1] == 'B') { |
110 | /* treat dB as decibels instead of decibytes */ |
111 | d = ff_exp10(d / 20); |
112 | next += 2; |
113 | } else if (*next >= 'E' && *next <= 'z') { |
114 | int e= si_prefixes[*next - 'E'].exp; |
115 | if (e) { |
116 | if (next[1] == 'i') { |
117 | d*= si_prefixes[*next - 'E'].bin_val; |
118 | next+=2; |
119 | } else { |
120 | d*= si_prefixes[*next - 'E'].dec_val; |
121 | next++; |
122 | } |
123 | } |
124 | } |
125 | |
126 | if (*next=='B') { |
127 | d*=8; |
128 | next++; |
129 | } |
130 | } |
131 | /* if requested, fill in tail with the position after the last parsed |
132 | character */ |
133 | if (tail) |
134 | *tail = next; |
135 | return d; |
136 | } |
137 | |
138 | #define IS_IDENTIFIER_CHAR(c) ((c) - '0' <= 9U || (c) - 'a' <= 25U || (c) - 'A' <= 25U || (c) == '_') |
139 | |
140 | static int strmatch(const char *s, const char *prefix) |
141 | { |
142 | int i; |
143 | for (i=0; prefix[i]; i++) { |
144 | if (prefix[i] != s[i]) return 0; |
145 | } |
146 | /* return 1 only if the s identifier is terminated */ |
147 | return !IS_IDENTIFIER_CHAR(s[i]); |
148 | } |
149 | |
150 | struct AVExpr { |
151 | enum { |
152 | e_value, e_const, e_func0, e_func1, e_func2, |
153 | e_squish, e_gauss, e_ld, e_isnan, e_isinf, |
154 | e_mod, e_max, e_min, e_eq, e_gt, e_gte, e_lte, e_lt, |
155 | e_pow, e_mul, e_div, e_add, |
156 | e_last, e_st, e_while, e_taylor, e_root, e_floor, e_ceil, e_trunc, |
157 | e_sqrt, e_not, e_random, e_hypot, e_gcd, |
158 | e_if, e_ifnot, e_print, e_bitand, e_bitor, e_between, e_clip, e_atan2 |
159 | } type; |
160 | double value; // is sign in other types |
161 | union { |
162 | int const_index; |
163 | double (*func0)(double); |
164 | double (*func1)(void *, double); |
165 | double (*func2)(void *, double, double); |
166 | } a; |
167 | struct AVExpr *param[3]; |
168 | double *var; |
169 | }; |
170 | |
171 | static double etime(double v) |
172 | { |
173 | return av_gettime() * 0.000001; |
174 | } |
175 | |
176 | static double eval_expr(Parser *p, AVExpr *e) |
177 | { |
178 | switch (e->type) { |
179 | case e_value: return e->value; |
180 | case e_const: return e->value * p->const_values[e->a.const_index]; |
181 | case e_func0: return e->value * e->a.func0(eval_expr(p, e->param[0])); |
182 | case e_func1: return e->value * e->a.func1(p->opaque, eval_expr(p, e->param[0])); |
183 | case e_func2: return e->value * e->a.func2(p->opaque, eval_expr(p, e->param[0]), eval_expr(p, e->param[1])); |
184 | case e_squish: return 1/(1+exp(4*eval_expr(p, e->param[0]))); |
185 | case e_gauss: { double d = eval_expr(p, e->param[0]); return exp(-d*d/2)/sqrt(2*M_PI); } |
186 | case e_ld: return e->value * p->var[av_clip(eval_expr(p, e->param[0]), 0, VARS-1)]; |
187 | case e_isnan: return e->value * !!isnan(eval_expr(p, e->param[0])); |
188 | case e_isinf: return e->value * !!isinf(eval_expr(p, e->param[0])); |
189 | case e_floor: return e->value * floor(eval_expr(p, e->param[0])); |
190 | case e_ceil : return e->value * ceil (eval_expr(p, e->param[0])); |
191 | case e_trunc: return e->value * trunc(eval_expr(p, e->param[0])); |
192 | case e_sqrt: return e->value * sqrt (eval_expr(p, e->param[0])); |
193 | case e_not: return e->value * (eval_expr(p, e->param[0]) == 0); |
194 | case e_if: return e->value * (eval_expr(p, e->param[0]) ? eval_expr(p, e->param[1]) : |
195 | e->param[2] ? eval_expr(p, e->param[2]) : 0); |
196 | case e_ifnot: return e->value * (!eval_expr(p, e->param[0]) ? eval_expr(p, e->param[1]) : |
197 | e->param[2] ? eval_expr(p, e->param[2]) : 0); |
198 | case e_clip: { |
199 | double x = eval_expr(p, e->param[0]); |
200 | double min = eval_expr(p, e->param[1]), max = eval_expr(p, e->param[2]); |
201 | if (isnan(min) || isnan(max) || isnan(x) || min > max) |
202 | return NAN; |
203 | return e->value * av_clipd(eval_expr(p, e->param[0]), min, max); |
204 | } |
205 | case e_between: { |
206 | double d = eval_expr(p, e->param[0]); |
207 | return e->value * (d >= eval_expr(p, e->param[1]) && |
208 | d <= eval_expr(p, e->param[2])); |
209 | } |
210 | case e_print: { |
211 | double x = eval_expr(p, e->param[0]); |
212 | int level = e->param[1] ? av_clip(eval_expr(p, e->param[1]), INT_MIN, INT_MAX) : AV_LOG_INFO; |
213 | av_log(p, level, "%f\n", x); |
214 | return x; |
215 | } |
216 | case e_random:{ |
217 | int idx= av_clip(eval_expr(p, e->param[0]), 0, VARS-1); |
218 | uint64_t r= isnan(p->var[idx]) ? 0 : p->var[idx]; |
219 | r= r*1664525+1013904223; |
220 | p->var[idx]= r; |
221 | return e->value * (r * (1.0/UINT64_MAX)); |
222 | } |
223 | case e_while: { |
224 | double d = NAN; |
225 | while (eval_expr(p, e->param[0])) |
226 | d=eval_expr(p, e->param[1]); |
227 | return d; |
228 | } |
229 | case e_taylor: { |
230 | double t = 1, d = 0, v; |
231 | double x = eval_expr(p, e->param[1]); |
232 | int id = e->param[2] ? av_clip(eval_expr(p, e->param[2]), 0, VARS-1) : 0; |
233 | int i; |
234 | double var0 = p->var[id]; |
235 | for(i=0; i<1000; i++) { |
236 | double ld = d; |
237 | p->var[id] = i; |
238 | v = eval_expr(p, e->param[0]); |
239 | d += t*v; |
240 | if(ld==d && v) |
241 | break; |
242 | t *= x / (i+1); |
243 | } |
244 | p->var[id] = var0; |
245 | return d; |
246 | } |
247 | case e_root: { |
248 | int i, j; |
249 | double low = -1, high = -1, v, low_v = -DBL_MAX, high_v = DBL_MAX; |
250 | double var0 = p->var[0]; |
251 | double x_max = eval_expr(p, e->param[1]); |
252 | for(i=-1; i<1024; i++) { |
253 | if(i<255) { |
254 | p->var[0] = ff_reverse[i&255]*x_max/255; |
255 | } else { |
256 | p->var[0] = x_max*pow(0.9, i-255); |
257 | if (i&1) p->var[0] *= -1; |
258 | if (i&2) p->var[0] += low; |
259 | else p->var[0] += high; |
260 | } |
261 | v = eval_expr(p, e->param[0]); |
262 | if (v<=0 && v>low_v) { |
263 | low = p->var[0]; |
264 | low_v = v; |
265 | } |
266 | if (v>=0 && v<high_v) { |
267 | high = p->var[0]; |
268 | high_v = v; |
269 | } |
270 | if (low>=0 && high>=0){ |
271 | for (j=0; j<1000; j++) { |
272 | p->var[0] = (low+high)*0.5; |
273 | if (low == p->var[0] || high == p->var[0]) |
274 | break; |
275 | v = eval_expr(p, e->param[0]); |
276 | if (v<=0) low = p->var[0]; |
277 | if (v>=0) high= p->var[0]; |
278 | if (isnan(v)) { |
279 | low = high = v; |
280 | break; |
281 | } |
282 | } |
283 | break; |
284 | } |
285 | } |
286 | p->var[0] = var0; |
287 | return -low_v<high_v ? low : high; |
288 | } |
289 | default: { |
290 | double d = eval_expr(p, e->param[0]); |
291 | double d2 = eval_expr(p, e->param[1]); |
292 | switch (e->type) { |
293 | case e_mod: return e->value * (d - floor((!CONFIG_FTRAPV || d2) ? d / d2 : d * INFINITY) * d2); |
294 | case e_gcd: return e->value * av_gcd(d,d2); |
295 | case e_max: return e->value * (d > d2 ? d : d2); |
296 | case e_min: return e->value * (d < d2 ? d : d2); |
297 | case e_eq: return e->value * (d == d2 ? 1.0 : 0.0); |
298 | case e_gt: return e->value * (d > d2 ? 1.0 : 0.0); |
299 | case e_gte: return e->value * (d >= d2 ? 1.0 : 0.0); |
300 | case e_lt: return e->value * (d < d2 ? 1.0 : 0.0); |
301 | case e_lte: return e->value * (d <= d2 ? 1.0 : 0.0); |
302 | case e_pow: return e->value * pow(d, d2); |
303 | case e_mul: return e->value * (d * d2); |
304 | case e_div: return e->value * ((!CONFIG_FTRAPV || d2 ) ? (d / d2) : d * INFINITY); |
305 | case e_add: return e->value * (d + d2); |
306 | case e_last:return e->value * d2; |
307 | case e_st : return e->value * (p->var[av_clip(d, 0, VARS-1)]= d2); |
308 | case e_hypot:return e->value * hypot(d, d2); |
309 | case e_atan2:return e->value * atan2(d, d2); |
310 | case e_bitand: return isnan(d) || isnan(d2) ? NAN : e->value * ((long int)d & (long int)d2); |
311 | case e_bitor: return isnan(d) || isnan(d2) ? NAN : e->value * ((long int)d | (long int)d2); |
312 | } |
313 | } |
314 | } |
315 | return NAN; |
316 | } |
317 | |
318 | static int parse_expr(AVExpr **e, Parser *p); |
319 | |
320 | void av_expr_free(AVExpr *e) |
321 | { |
322 | if (!e) return; |
323 | av_expr_free(e->param[0]); |
324 | av_expr_free(e->param[1]); |
325 | av_expr_free(e->param[2]); |
326 | av_freep(&e->var); |
327 | av_freep(&e); |
328 | } |
329 | |
330 | static int parse_primary(AVExpr **e, Parser *p) |
331 | { |
332 | AVExpr *d = av_mallocz(sizeof(AVExpr)); |
333 | char *next = p->s, *s0 = p->s; |
334 | int ret, i; |
335 | |
336 | if (!d) |
337 | return AVERROR(ENOMEM); |
338 | |
339 | /* number */ |
340 | d->value = av_strtod(p->s, &next); |
341 | if (next != p->s) { |
342 | d->type = e_value; |
343 | p->s= next; |
344 | *e = d; |
345 | return 0; |
346 | } |
347 | d->value = 1; |
348 | |
349 | /* named constants */ |
350 | for (i=0; p->const_names && p->const_names[i]; i++) { |
351 | if (strmatch(p->s, p->const_names[i])) { |
352 | p->s+= strlen(p->const_names[i]); |
353 | d->type = e_const; |
354 | d->a.const_index = i; |
355 | *e = d; |
356 | return 0; |
357 | } |
358 | } |
359 | for (i = 0; i < FF_ARRAY_ELEMS(constants); i++) { |
360 | if (strmatch(p->s, constants[i].name)) { |
361 | p->s += strlen(constants[i].name); |
362 | d->type = e_value; |
363 | d->value = constants[i].value; |
364 | *e = d; |
365 | return 0; |
366 | } |
367 | } |
368 | |
369 | p->s= strchr(p->s, '('); |
370 | if (!p->s) { |
371 | av_log(p, AV_LOG_ERROR, "Undefined constant or missing '(' in '%s'\n", s0); |
372 | p->s= next; |
373 | av_expr_free(d); |
374 | return AVERROR(EINVAL); |
375 | } |
376 | p->s++; // "(" |
377 | if (*next == '(') { // special case do-nothing |
378 | av_freep(&d); |
379 | if ((ret = parse_expr(&d, p)) < 0) |
380 | return ret; |
381 | if (p->s[0] != ')') { |
382 | av_log(p, AV_LOG_ERROR, "Missing ')' in '%s'\n", s0); |
383 | av_expr_free(d); |
384 | return AVERROR(EINVAL); |
385 | } |
386 | p->s++; // ")" |
387 | *e = d; |
388 | return 0; |
389 | } |
390 | if ((ret = parse_expr(&(d->param[0]), p)) < 0) { |
391 | av_expr_free(d); |
392 | return ret; |
393 | } |
394 | if (p->s[0]== ',') { |
395 | p->s++; // "," |
396 | parse_expr(&d->param[1], p); |
397 | } |
398 | if (p->s[0]== ',') { |
399 | p->s++; // "," |
400 | parse_expr(&d->param[2], p); |
401 | } |
402 | if (p->s[0] != ')') { |
403 | av_log(p, AV_LOG_ERROR, "Missing ')' or too many args in '%s'\n", s0); |
404 | av_expr_free(d); |
405 | return AVERROR(EINVAL); |
406 | } |
407 | p->s++; // ")" |
408 | |
409 | d->type = e_func0; |
410 | if (strmatch(next, "sinh" )) d->a.func0 = sinh; |
411 | else if (strmatch(next, "cosh" )) d->a.func0 = cosh; |
412 | else if (strmatch(next, "tanh" )) d->a.func0 = tanh; |
413 | else if (strmatch(next, "sin" )) d->a.func0 = sin; |
414 | else if (strmatch(next, "cos" )) d->a.func0 = cos; |
415 | else if (strmatch(next, "tan" )) d->a.func0 = tan; |
416 | else if (strmatch(next, "atan" )) d->a.func0 = atan; |
417 | else if (strmatch(next, "asin" )) d->a.func0 = asin; |
418 | else if (strmatch(next, "acos" )) d->a.func0 = acos; |
419 | else if (strmatch(next, "exp" )) d->a.func0 = exp; |
420 | else if (strmatch(next, "log" )) d->a.func0 = log; |
421 | else if (strmatch(next, "abs" )) d->a.func0 = fabs; |
422 | else if (strmatch(next, "time" )) d->a.func0 = etime; |
423 | else if (strmatch(next, "squish")) d->type = e_squish; |
424 | else if (strmatch(next, "gauss" )) d->type = e_gauss; |
425 | else if (strmatch(next, "mod" )) d->type = e_mod; |
426 | else if (strmatch(next, "max" )) d->type = e_max; |
427 | else if (strmatch(next, "min" )) d->type = e_min; |
428 | else if (strmatch(next, "eq" )) d->type = e_eq; |
429 | else if (strmatch(next, "gte" )) d->type = e_gte; |
430 | else if (strmatch(next, "gt" )) d->type = e_gt; |
431 | else if (strmatch(next, "lte" )) d->type = e_lte; |
432 | else if (strmatch(next, "lt" )) d->type = e_lt; |
433 | else if (strmatch(next, "ld" )) d->type = e_ld; |
434 | else if (strmatch(next, "isnan" )) d->type = e_isnan; |
435 | else if (strmatch(next, "isinf" )) d->type = e_isinf; |
436 | else if (strmatch(next, "st" )) d->type = e_st; |
437 | else if (strmatch(next, "while" )) d->type = e_while; |
438 | else if (strmatch(next, "taylor")) d->type = e_taylor; |
439 | else if (strmatch(next, "root" )) d->type = e_root; |
440 | else if (strmatch(next, "floor" )) d->type = e_floor; |
441 | else if (strmatch(next, "ceil" )) d->type = e_ceil; |
442 | else if (strmatch(next, "trunc" )) d->type = e_trunc; |
443 | else if (strmatch(next, "sqrt" )) d->type = e_sqrt; |
444 | else if (strmatch(next, "not" )) d->type = e_not; |
445 | else if (strmatch(next, "pow" )) d->type = e_pow; |
446 | else if (strmatch(next, "print" )) d->type = e_print; |
447 | else if (strmatch(next, "random")) d->type = e_random; |
448 | else if (strmatch(next, "hypot" )) d->type = e_hypot; |
449 | else if (strmatch(next, "gcd" )) d->type = e_gcd; |
450 | else if (strmatch(next, "if" )) d->type = e_if; |
451 | else if (strmatch(next, "ifnot" )) d->type = e_ifnot; |
452 | else if (strmatch(next, "bitand")) d->type = e_bitand; |
453 | else if (strmatch(next, "bitor" )) d->type = e_bitor; |
454 | else if (strmatch(next, "between"))d->type = e_between; |
455 | else if (strmatch(next, "clip" )) d->type = e_clip; |
456 | else if (strmatch(next, "atan2" )) d->type = e_atan2; |
457 | else { |
458 | for (i=0; p->func1_names && p->func1_names[i]; i++) { |
459 | if (strmatch(next, p->func1_names[i])) { |
460 | d->a.func1 = p->funcs1[i]; |
461 | d->type = e_func1; |
462 | *e = d; |
463 | return 0; |
464 | } |
465 | } |
466 | |
467 | for (i=0; p->func2_names && p->func2_names[i]; i++) { |
468 | if (strmatch(next, p->func2_names[i])) { |
469 | d->a.func2 = p->funcs2[i]; |
470 | d->type = e_func2; |
471 | *e = d; |
472 | return 0; |
473 | } |
474 | } |
475 | |
476 | av_log(p, AV_LOG_ERROR, "Unknown function in '%s'\n", s0); |
477 | av_expr_free(d); |
478 | return AVERROR(EINVAL); |
479 | } |
480 | |
481 | *e = d; |
482 | return 0; |
483 | } |
484 | |
485 | static AVExpr *make_eval_expr(int type, int value, AVExpr *p0, AVExpr *p1) |
486 | { |
487 | AVExpr *e = av_mallocz(sizeof(AVExpr)); |
488 | if (!e) |
489 | return NULL; |
490 | e->type =type ; |
491 | e->value =value ; |
492 | e->param[0] =p0 ; |
493 | e->param[1] =p1 ; |
494 | return e; |
495 | } |
496 | |
497 | static int parse_pow(AVExpr **e, Parser *p, int *sign) |
498 | { |
499 | *sign= (*p->s == '+') - (*p->s == '-'); |
500 | p->s += *sign&1; |
501 | return parse_primary(e, p); |
502 | } |
503 | |
504 | static int parse_dB(AVExpr **e, Parser *p, int *sign) |
505 | { |
506 | /* do not filter out the negative sign when parsing a dB value. |
507 | for example, -3dB is not the same as -(3dB) */ |
508 | if (*p->s == '-') { |
509 | char *next; |
510 | double av_unused ignored = strtod(p->s, &next); |
511 | if (next != p->s && next[0] == 'd' && next[1] == 'B') { |
512 | *sign = 0; |
513 | return parse_primary(e, p); |
514 | } |
515 | } |
516 | return parse_pow(e, p, sign); |
517 | } |
518 | |
519 | static int parse_factor(AVExpr **e, Parser *p) |
520 | { |
521 | int sign, sign2, ret; |
522 | AVExpr *e0, *e1, *e2; |
523 | if ((ret = parse_dB(&e0, p, &sign)) < 0) |
524 | return ret; |
525 | while(p->s[0]=='^'){ |
526 | e1 = e0; |
527 | p->s++; |
528 | if ((ret = parse_dB(&e2, p, &sign2)) < 0) { |
529 | av_expr_free(e1); |
530 | return ret; |
531 | } |
532 | e0 = make_eval_expr(e_pow, 1, e1, e2); |
533 | if (!e0) { |
534 | av_expr_free(e1); |
535 | av_expr_free(e2); |
536 | return AVERROR(ENOMEM); |
537 | } |
538 | if (e0->param[1]) e0->param[1]->value *= (sign2|1); |
539 | } |
540 | if (e0) e0->value *= (sign|1); |
541 | |
542 | *e = e0; |
543 | return 0; |
544 | } |
545 | |
546 | static int parse_term(AVExpr **e, Parser *p) |
547 | { |
548 | int ret; |
549 | AVExpr *e0, *e1, *e2; |
550 | if ((ret = parse_factor(&e0, p)) < 0) |
551 | return ret; |
552 | while (p->s[0]=='*' || p->s[0]=='/') { |
553 | int c= *p->s++; |
554 | e1 = e0; |
555 | if ((ret = parse_factor(&e2, p)) < 0) { |
556 | av_expr_free(e1); |
557 | return ret; |
558 | } |
559 | e0 = make_eval_expr(c == '*' ? e_mul : e_div, 1, e1, e2); |
560 | if (!e0) { |
561 | av_expr_free(e1); |
562 | av_expr_free(e2); |
563 | return AVERROR(ENOMEM); |
564 | } |
565 | } |
566 | *e = e0; |
567 | return 0; |
568 | } |
569 | |
570 | static int parse_subexpr(AVExpr **e, Parser *p) |
571 | { |
572 | int ret; |
573 | AVExpr *e0, *e1, *e2; |
574 | if ((ret = parse_term(&e0, p)) < 0) |
575 | return ret; |
576 | while (*p->s == '+' || *p->s == '-') { |
577 | e1 = e0; |
578 | if ((ret = parse_term(&e2, p)) < 0) { |
579 | av_expr_free(e1); |
580 | return ret; |
581 | } |
582 | e0 = make_eval_expr(e_add, 1, e1, e2); |
583 | if (!e0) { |
584 | av_expr_free(e1); |
585 | av_expr_free(e2); |
586 | return AVERROR(ENOMEM); |
587 | } |
588 | }; |
589 | |
590 | *e = e0; |
591 | return 0; |
592 | } |
593 | |
594 | static int parse_expr(AVExpr **e, Parser *p) |
595 | { |
596 | int ret; |
597 | AVExpr *e0, *e1, *e2; |
598 | if (p->stack_index <= 0) //protect against stack overflows |
599 | return AVERROR(EINVAL); |
600 | p->stack_index--; |
601 | |
602 | if ((ret = parse_subexpr(&e0, p)) < 0) |
603 | return ret; |
604 | while (*p->s == ';') { |
605 | p->s++; |
606 | e1 = e0; |
607 | if ((ret = parse_subexpr(&e2, p)) < 0) { |
608 | av_expr_free(e1); |
609 | return ret; |
610 | } |
611 | e0 = make_eval_expr(e_last, 1, e1, e2); |
612 | if (!e0) { |
613 | av_expr_free(e1); |
614 | av_expr_free(e2); |
615 | return AVERROR(ENOMEM); |
616 | } |
617 | }; |
618 | |
619 | p->stack_index++; |
620 | *e = e0; |
621 | return 0; |
622 | } |
623 | |
624 | static int verify_expr(AVExpr *e) |
625 | { |
626 | if (!e) return 0; |
627 | switch (e->type) { |
628 | case e_value: |
629 | case e_const: return 1; |
630 | case e_func0: |
631 | case e_func1: |
632 | case e_squish: |
633 | case e_ld: |
634 | case e_gauss: |
635 | case e_isnan: |
636 | case e_isinf: |
637 | case e_floor: |
638 | case e_ceil: |
639 | case e_trunc: |
640 | case e_sqrt: |
641 | case e_not: |
642 | case e_random: |
643 | return verify_expr(e->param[0]) && !e->param[1]; |
644 | case e_print: |
645 | return verify_expr(e->param[0]) |
646 | && (!e->param[1] || verify_expr(e->param[1])); |
647 | case e_if: |
648 | case e_ifnot: |
649 | case e_taylor: |
650 | return verify_expr(e->param[0]) && verify_expr(e->param[1]) |
651 | && (!e->param[2] || verify_expr(e->param[2])); |
652 | case e_between: |
653 | case e_clip: |
654 | return verify_expr(e->param[0]) && |
655 | verify_expr(e->param[1]) && |
656 | verify_expr(e->param[2]); |
657 | default: return verify_expr(e->param[0]) && verify_expr(e->param[1]) && !e->param[2]; |
658 | } |
659 | } |
660 | |
661 | int av_expr_parse(AVExpr **expr, const char *s, |
662 | const char * const *const_names, |
663 | const char * const *func1_names, double (* const *funcs1)(void *, double), |
664 | const char * const *func2_names, double (* const *funcs2)(void *, double, double), |
665 | int log_offset, void *log_ctx) |
666 | { |
667 | Parser p = { 0 }; |
668 | AVExpr *e = NULL; |
669 | char *w = av_malloc(strlen(s) + 1); |
670 | char *wp = w; |
671 | const char *s0 = s; |
672 | int ret = 0; |
673 | |
674 | if (!w) |
675 | return AVERROR(ENOMEM); |
676 | |
677 | while (*s) |
678 | if (!av_isspace(*s++)) *wp++ = s[-1]; |
679 | *wp++ = 0; |
680 | |
681 | p.class = &eval_class; |
682 | p.stack_index=100; |
683 | p.s= w; |
684 | p.const_names = const_names; |
685 | p.funcs1 = funcs1; |
686 | p.func1_names = func1_names; |
687 | p.funcs2 = funcs2; |
688 | p.func2_names = func2_names; |
689 | p.log_offset = log_offset; |
690 | p.log_ctx = log_ctx; |
691 | |
692 | if ((ret = parse_expr(&e, &p)) < 0) |
693 | goto end; |
694 | if (*p.s) { |
695 | av_log(&p, AV_LOG_ERROR, "Invalid chars '%s' at the end of expression '%s'\n", p.s, s0); |
696 | ret = AVERROR(EINVAL); |
697 | goto end; |
698 | } |
699 | if (!verify_expr(e)) { |
700 | ret = AVERROR(EINVAL); |
701 | goto end; |
702 | } |
703 | e->var= av_mallocz(sizeof(double) *VARS); |
704 | if (!e->var) { |
705 | ret = AVERROR(ENOMEM); |
706 | goto end; |
707 | } |
708 | *expr = e; |
709 | e = NULL; |
710 | end: |
711 | av_expr_free(e); |
712 | av_free(w); |
713 | return ret; |
714 | } |
715 | |
716 | double av_expr_eval(AVExpr *e, const double *const_values, void *opaque) |
717 | { |
718 | Parser p = { 0 }; |
719 | p.var= e->var; |
720 | |
721 | p.const_values = const_values; |
722 | p.opaque = opaque; |
723 | return eval_expr(&p, e); |
724 | } |
725 | |
726 | int av_expr_parse_and_eval(double *d, const char *s, |
727 | const char * const *const_names, const double *const_values, |
728 | const char * const *func1_names, double (* const *funcs1)(void *, double), |
729 | const char * const *func2_names, double (* const *funcs2)(void *, double, double), |
730 | void *opaque, int log_offset, void *log_ctx) |
731 | { |
732 | AVExpr *e = NULL; |
733 | int ret = av_expr_parse(&e, s, const_names, func1_names, funcs1, func2_names, funcs2, log_offset, log_ctx); |
734 | |
735 | if (ret < 0) { |
736 | *d = NAN; |
737 | return ret; |
738 | } |
739 | *d = av_expr_eval(e, const_values, opaque); |
740 | av_expr_free(e); |
741 | return isnan(*d) ? AVERROR(EINVAL) : 0; |
742 | } |
743 |