| Line | Branch | Exec | Source |
|---|---|---|---|
| 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 "avassert.h" | ||
| 32 | #include "avutil.h" | ||
| 33 | #include "common.h" | ||
| 34 | #include "eval.h" | ||
| 35 | #include "ffmath.h" | ||
| 36 | #include "log.h" | ||
| 37 | #include "mathematics.h" | ||
| 38 | #include "mem.h" | ||
| 39 | #include "sfc64.h" | ||
| 40 | #include "time.h" | ||
| 41 | #include "avstring.h" | ||
| 42 | #include "reverse.h" | ||
| 43 | |||
| 44 | #define MAX_DEPTH 100 | ||
| 45 | |||
| 46 | typedef struct Parser { | ||
| 47 | const AVClass *class; | ||
| 48 | int stack_index; | ||
| 49 | char *s; | ||
| 50 | const double *const_values; | ||
| 51 | const char * const *const_names; // NULL terminated | ||
| 52 | double (* const *funcs1)(void *, double a); // NULL terminated | ||
| 53 | const char * const *func1_names; // NULL terminated | ||
| 54 | double (* const *funcs2)(void *, double a, double b); // NULL terminated | ||
| 55 | const char * const *func2_names; // NULL terminated | ||
| 56 | void *opaque; | ||
| 57 | int log_offset; | ||
| 58 | void *log_ctx; | ||
| 59 | #define VARS 10 | ||
| 60 | double *var; | ||
| 61 | FFSFC64 *prng_state; | ||
| 62 | } Parser; | ||
| 63 | |||
| 64 | static const AVClass eval_class = { | ||
| 65 | .class_name = "Eval", | ||
| 66 | .item_name = av_default_item_name, | ||
| 67 | .option = NULL, | ||
| 68 | .version = LIBAVUTIL_VERSION_INT, | ||
| 69 | .log_level_offset_offset = offsetof(Parser, log_offset), | ||
| 70 | .parent_log_context_offset = offsetof(Parser, log_ctx), | ||
| 71 | }; | ||
| 72 | |||
| 73 | static const struct { | ||
| 74 | double bin_val; | ||
| 75 | double dec_val; | ||
| 76 | int8_t exp; | ||
| 77 | } si_prefixes['z' - 'E' + 1] = { | ||
| 78 | ['y'-'E']= { 8.271806125530276749e-25, 1e-24, -24 }, | ||
| 79 | ['z'-'E']= { 8.4703294725430034e-22, 1e-21, -21 }, | ||
| 80 | ['a'-'E']= { 8.6736173798840355e-19, 1e-18, -18 }, | ||
| 81 | ['f'-'E']= { 8.8817841970012523e-16, 1e-15, -15 }, | ||
| 82 | ['p'-'E']= { 9.0949470177292824e-13, 1e-12, -12 }, | ||
| 83 | ['n'-'E']= { 9.3132257461547852e-10, 1e-9, -9 }, | ||
| 84 | ['u'-'E']= { 9.5367431640625e-7, 1e-6, -6 }, | ||
| 85 | ['m'-'E']= { 9.765625e-4, 1e-3, -3 }, | ||
| 86 | ['c'-'E']= { 9.8431332023036951e-3, 1e-2, -2 }, | ||
| 87 | ['d'-'E']= { 9.921256574801246e-2, 1e-1, -1 }, | ||
| 88 | ['h'-'E']= { 1.0159366732596479e2, 1e2, 2 }, | ||
| 89 | ['k'-'E']= { 1.024e3, 1e3, 3 }, | ||
| 90 | ['K'-'E']= { 1.024e3, 1e3, 3 }, | ||
| 91 | ['M'-'E']= { 1.048576e6, 1e6, 6 }, | ||
| 92 | ['G'-'E']= { 1.073741824e9, 1e9, 9 }, | ||
| 93 | ['T'-'E']= { 1.099511627776e12, 1e12, 12 }, | ||
| 94 | ['P'-'E']= { 1.125899906842624e15, 1e15, 15 }, | ||
| 95 | ['E'-'E']= { 1.152921504606847e18, 1e18, 18 }, | ||
| 96 | ['Z'-'E']= { 1.1805916207174113e21, 1e21, 21 }, | ||
| 97 | ['Y'-'E']= { 1.2089258196146292e24, 1e24, 24 }, | ||
| 98 | }; | ||
| 99 | |||
| 100 | static const struct { | ||
| 101 | const char *name; | ||
| 102 | double value; | ||
| 103 | } constants[] = { | ||
| 104 | { "E", M_E }, | ||
| 105 | { "PI", M_PI }, | ||
| 106 | { "PHI", M_PHI }, | ||
| 107 | { "QP2LAMBDA", FF_QP2LAMBDA }, | ||
| 108 | }; | ||
| 109 | |||
| 110 | 122230 | double av_strtod(const char *numstr, char **tail) | |
| 111 | { | ||
| 112 | double d; | ||
| 113 | char *next; | ||
| 114 |
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122230 | if(numstr[0]=='0' && (numstr[1]|0x20)=='x') { |
| 115 | 139 | d = strtoul(numstr, &next, 16); | |
| 116 | } else | ||
| 117 | 122091 | d = strtod(numstr, &next); | |
| 118 | /* if parsing succeeded, check for and interpret postfixes */ | ||
| 119 |
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122230 | if (next!=numstr) { |
| 120 |
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93245 | if (next[0] == 'd' && next[1] == 'B') { |
| 121 | /* treat dB as decibels instead of decibytes */ | ||
| 122 | 6 | d = ff_exp10(d / 20); | |
| 123 | 6 | next += 2; | |
| 124 |
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93239 | } else if (*next >= 'E' && *next <= 'z') { |
| 125 | 187 | int e= si_prefixes[*next - 'E'].exp; | |
| 126 |
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187 | if (e) { |
| 127 |
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185 | if (next[1] == 'i') { |
| 128 | 6 | d*= si_prefixes[*next - 'E'].bin_val; | |
| 129 | 6 | next+=2; | |
| 130 | } else { | ||
| 131 | 179 | d*= si_prefixes[*next - 'E'].dec_val; | |
| 132 | 179 | next++; | |
| 133 | } | ||
| 134 | } | ||
| 135 | } | ||
| 136 | |||
| 137 |
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93245 | if (*next=='B') { |
| 138 | 1 | d*=8; | |
| 139 | 1 | next++; | |
| 140 | } | ||
| 141 | } | ||
| 142 | /* if requested, fill in tail with the position after the last parsed | ||
| 143 | character */ | ||
| 144 |
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122230 | if (tail) |
| 145 | 122225 | *tail = next; | |
| 146 | 122230 | return d; | |
| 147 | } | ||
| 148 | |||
| 149 | #define IS_IDENTIFIER_CHAR(c) ((c) - '0' <= 9U || (c) - 'a' <= 25U || (c) - 'A' <= 25U || (c) == '_') | ||
| 150 | |||
| 151 | 421675 | static int strmatch(const char *s, const char *prefix) | |
| 152 | { | ||
| 153 | int i; | ||
| 154 |
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537375 | for (i=0; prefix[i]; i++) { |
| 155 |
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508414 | if (prefix[i] != s[i]) return 0; |
| 156 | } | ||
| 157 | /* return 1 only if the s identifier is terminated */ | ||
| 158 |
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28961 | return !IS_IDENTIFIER_CHAR(s[i]); |
| 159 | } | ||
| 160 | |||
| 161 | enum { | ||
| 162 | e_value, e_const, e_func0, e_func1, e_func2, | ||
| 163 | e_squish, e_gauss, e_ld, e_isnan, e_isinf, | ||
| 164 | e_mod, e_max, e_min, e_eq, e_gt, e_gte, e_lte, e_lt, | ||
| 165 | e_pow, e_mul, e_div, e_add, | ||
| 166 | e_last, e_st, e_while, e_taylor, e_root, e_floor, e_ceil, e_trunc, e_round, | ||
| 167 | e_sqrt, e_not, e_random, e_hypot, e_gcd, | ||
| 168 | e_if, e_ifnot, e_print, e_bitand, e_bitor, e_between, e_clip, e_atan2, e_lerp, | ||
| 169 | e_sgn, e_randomi | ||
| 170 | }; | ||
| 171 | struct AVExpr { | ||
| 172 | unsigned char type; | ||
| 173 | unsigned char root; | ||
| 174 | short depth; | ||
| 175 | int const_index; | ||
| 176 | double value; // is sign in other types | ||
| 177 | union { | ||
| 178 | double (*func0)(double); | ||
| 179 | double (*func1)(void *, double); | ||
| 180 | double (*func2)(void *, double, double); | ||
| 181 | } ; | ||
| 182 | struct AVExpr *param[3]; | ||
| 183 | }; | ||
| 184 | |||
| 185 | typedef struct { | ||
| 186 | AVExpr avexpr; | ||
| 187 | double *var; | ||
| 188 | FFSFC64 *prng_state; | ||
| 189 | } AVExprRoot; | ||
| 190 | |||
| 191 | ✗ | static double etime(double v) | |
| 192 | { | ||
| 193 | ✗ | return av_gettime() * 0.000001; | |
| 194 | } | ||
| 195 | |||
| 196 | 223838007 | static double eval_expr(Parser *p, AVExpr *e) | |
| 197 | { | ||
| 198 |
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223838007 | switch (e->type) { |
| 199 | 71943716 | case e_value: return e->value; | |
| 200 | 41449180 | case e_const: return e->value * p->const_values[e->const_index]; | |
| 201 | 19098500 | case e_func0: return e->value * e->func0(eval_expr(p, e->param[0])); | |
| 202 | 280986 | case e_func1: return e->value * e->func1(p->opaque, eval_expr(p, e->param[0])); | |
| 203 | 6 | case e_func2: return e->value * e->func2(p->opaque, eval_expr(p, e->param[0]), eval_expr(p, e->param[1])); | |
| 204 | 1 | case e_squish: return 1/(1+exp(4*eval_expr(p, e->param[0]))); | |
| 205 | 1 | case e_gauss: { double d = eval_expr(p, e->param[0]); return exp(-d*d/2)/sqrt(2*M_PI); } | |
| 206 | 1695 | case e_ld: return e->value * p->var[av_clip(eval_expr(p, e->param[0]), 0, VARS-1)]; | |
| 207 |
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4 | case e_isnan: return e->value * !!isnan(eval_expr(p, e->param[0])); |
| 208 |
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3 | case e_isinf: return e->value * !!isinf(eval_expr(p, e->param[0])); |
| 209 | 20 | case e_floor: return e->value * floor(eval_expr(p, e->param[0])); | |
| 210 | 2 | case e_ceil : return e->value * ceil (eval_expr(p, e->param[0])); | |
| 211 | 2 | case e_trunc: return e->value * trunc(eval_expr(p, e->param[0])); | |
| 212 | ✗ | case e_round: return e->value * round(eval_expr(p, e->param[0])); | |
| 213 | ✗ | case e_sgn: return e->value * FFDIFFSIGN(eval_expr(p, e->param[0]), 0); | |
| 214 | 2 | case e_sqrt: return e->value * sqrt (eval_expr(p, e->param[0])); | |
| 215 |
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301 | case e_not: return e->value * (eval_expr(p, e->param[0]) == 0); |
| 216 |
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49379 | case e_if: return e->value * (eval_expr(p, e->param[0]) ? eval_expr(p, e->param[1]) : |
| 217 |
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16494 | e->param[2] ? eval_expr(p, e->param[2]) : 0); |
| 218 |
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6 | case e_ifnot: return e->value * (!eval_expr(p, e->param[0]) ? eval_expr(p, e->param[1]) : |
| 219 |
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2 | e->param[2] ? eval_expr(p, e->param[2]) : 0); |
| 220 | 3 | case e_clip: { | |
| 221 | 3 | double x = eval_expr(p, e->param[0]); | |
| 222 | 3 | double min = eval_expr(p, e->param[1]), max = eval_expr(p, e->param[2]); | |
| 223 |
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3 | if (isnan(min) || isnan(max) || isnan(x) || min > max) |
| 224 | 3 | return NAN; | |
| 225 | ✗ | return e->value * av_clipd(eval_expr(p, e->param[0]), min, max); | |
| 226 | } | ||
| 227 | 1323200 | case e_between: { | |
| 228 | 1323200 | double d = eval_expr(p, e->param[0]); | |
| 229 |
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2117095 | return e->value * (d >= eval_expr(p, e->param[1]) && |
| 230 | 793895 | d <= eval_expr(p, e->param[2])); | |
| 231 | } | ||
| 232 | ✗ | case e_lerp: { | |
| 233 | ✗ | double v0 = eval_expr(p, e->param[0]); | |
| 234 | ✗ | double v1 = eval_expr(p, e->param[1]); | |
| 235 | ✗ | double f = eval_expr(p, e->param[2]); | |
| 236 | ✗ | return v0 + (v1 - v0) * f; | |
| 237 | } | ||
| 238 | 1 | case e_print: { | |
| 239 | 1 | double x = eval_expr(p, e->param[0]); | |
| 240 |
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1 | int level = e->param[1] ? av_clip(eval_expr(p, e->param[1]), INT_MIN, INT_MAX) : AV_LOG_INFO; |
| 241 | 1 | av_log(p, level, "%f\n", x); | |
| 242 | 1 | return x; | |
| 243 | } | ||
| 244 | |||
| 245 | #define COMPUTE_NEXT_RANDOM() \ | ||
| 246 | int idx = av_clip(eval_expr(p, e->param[0]), 0, VARS-1); \ | ||
| 247 | FFSFC64 *s = p->prng_state + idx; \ | ||
| 248 | uint64_t r; \ | ||
| 249 | \ | ||
| 250 | if (!s->counter) { \ | ||
| 251 | r = isnan(p->var[idx]) ? 0 : p->var[idx]; \ | ||
| 252 | ff_sfc64_init(s, r, r, r, 12); \ | ||
| 253 | } \ | ||
| 254 | r = ff_sfc64_get(s); \ | ||
| 255 | p->var[idx] = r; \ | ||
| 256 | |||
| 257 | 264913 | case e_random: { | |
| 258 |
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264913 | COMPUTE_NEXT_RANDOM(); |
| 259 | 264913 | return r * (1.0/UINT64_MAX); | |
| 260 | } | ||
| 261 | ✗ | case e_randomi: { | |
| 262 | ✗ | double min = eval_expr(p, e->param[1]); | |
| 263 | ✗ | double max = eval_expr(p, e->param[2]); | |
| 264 | ✗ | COMPUTE_NEXT_RANDOM(); | |
| 265 | ✗ | return min + (max - min) * r / UINT64_MAX; | |
| 266 | } | ||
| 267 | 4 | case e_while: { | |
| 268 | 4 | double d = NAN; | |
| 269 |
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214 | while (eval_expr(p, e->param[0])) |
| 270 | 210 | d=eval_expr(p, e->param[1]); | |
| 271 | 4 | return d; | |
| 272 | } | ||
| 273 | 2 | case e_taylor: { | |
| 274 | 2 | double t = 1, d = 0, v; | |
| 275 | 2 | double x = eval_expr(p, e->param[1]); | |
| 276 |
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2 | int id = e->param[2] ? av_clip(eval_expr(p, e->param[2]), 0, VARS-1) : 0; |
| 277 | int i; | ||
| 278 | 2 | double var0 = p->var[id]; | |
| 279 |
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43 | for(i=0; i<1000; i++) { |
| 280 | 43 | double ld = d; | |
| 281 | 43 | p->var[id] = i; | |
| 282 | 43 | v = eval_expr(p, e->param[0]); | |
| 283 | 43 | d += t*v; | |
| 284 |
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43 | if(ld==d && v) |
| 285 | 2 | break; | |
| 286 | 41 | t *= x / (i+1); | |
| 287 | } | ||
| 288 | 2 | p->var[id] = var0; | |
| 289 | 2 | return d; | |
| 290 | } | ||
| 291 | 2 | case e_root: { | |
| 292 | int i, j; | ||
| 293 | 2 | double low = -1, high = -1, v, low_v = -DBL_MAX, high_v = DBL_MAX; | |
| 294 | 2 | double var0 = p->var[0]; | |
| 295 | 2 | double x_max = eval_expr(p, e->param[1]); | |
| 296 |
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491 | for(i=-1; i<1024; i++) { |
| 297 |
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491 | if(i<255) { |
| 298 | 315 | p->var[0] = ff_reverse[i&255]*x_max/255; | |
| 299 | } else { | ||
| 300 | 176 | p->var[0] = x_max*pow(0.9, i-255); | |
| 301 |
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176 | if (i&1) p->var[0] *= -1; |
| 302 |
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176 | if (i&2) p->var[0] += low; |
| 303 | 88 | else p->var[0] += high; | |
| 304 | } | ||
| 305 | 491 | v = eval_expr(p, e->param[0]); | |
| 306 |
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491 | if (v<=0 && v>low_v) { |
| 307 | 30 | low = p->var[0]; | |
| 308 | 30 | low_v = v; | |
| 309 | } | ||
| 310 |
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491 | if (v>=0 && v<high_v) { |
| 311 | 6 | high = p->var[0]; | |
| 312 | 6 | high_v = v; | |
| 313 | } | ||
| 314 |
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491 | if (low>=0 && high>=0){ |
| 315 |
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48 | for (j=0; j<1000; j++) { |
| 316 | 48 | p->var[0] = (low+high)*0.5; | |
| 317 |
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48 | if (low == p->var[0] || high == p->var[0]) |
| 318 | break; | ||
| 319 | 46 | v = eval_expr(p, e->param[0]); | |
| 320 |
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46 | if (v<=0) low = p->var[0]; |
| 321 |
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46 | if (v>=0) high= p->var[0]; |
| 322 |
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46 | if (isnan(v)) { |
| 323 | ✗ | low = high = v; | |
| 324 | ✗ | break; | |
| 325 | } | ||
| 326 | } | ||
| 327 | 2 | break; | |
| 328 | } | ||
| 329 | } | ||
| 330 | 2 | p->var[0] = var0; | |
| 331 |
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2 | return -low_v<high_v ? low : high; |
| 332 | } | ||
| 333 | 89442574 | default: { | |
| 334 | 89442574 | double d = eval_expr(p, e->param[0]); | |
| 335 | 89442574 | double d2 = eval_expr(p, e->param[1]); | |
| 336 |
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89442574 | switch (e->type) { |
| 337 |
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198 | case e_mod: return e->value * (d - floor(d2 ? d / d2 : d * INFINITY) * d2); |
| 338 | 1 | case e_gcd: return e->value * av_gcd(d,d2); | |
| 339 |
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2 | case e_max: return e->value * (d > d2 ? d : d2); |
| 340 |
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1 | case e_min: return e->value * (d < d2 ? d : d2); |
| 341 |
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234 | case e_eq: return e->value * (d == d2 ? 1.0 : 0.0); |
| 342 |
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1333 | case e_gt: return e->value * (d > d2 ? 1.0 : 0.0); |
| 343 |
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1116 | case e_gte: return e->value * (d >= d2 ? 1.0 : 0.0); |
| 344 |
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1117 | case e_lt: return e->value * (d < d2 ? 1.0 : 0.0); |
| 345 |
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|
216 | case e_lte: return e->value * (d <= d2 ? 1.0 : 0.0); |
| 346 | 5048 | case e_pow: return e->value * pow(d, d2); | |
| 347 | 73851547 | case e_mul: return e->value * (d * d2); | |
| 348 |
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3612279 | case e_div: return e->value * (d2 ? (d / d2) : d * INFINITY); |
| 349 | 11968771 | case e_add: return e->value * (d + d2); | |
| 350 | 243 | case e_last:return e->value * d2; | |
| 351 | 464 | case e_st : { | |
| 352 | 464 | int index = av_clip(d, 0, VARS-1); | |
| 353 | 464 | p->prng_state[index].counter = 0; | |
| 354 | 464 | return e->value * (p->var[index]= d2); | |
| 355 | } | ||
| 356 | 1 | case e_hypot:return e->value * hypot(d, d2); | |
| 357 | ✗ | case e_atan2:return e->value * atan2(d, d2); | |
| 358 |
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2 | case e_bitand: return isnan(d) || isnan(d2) ? NAN : e->value * ((long int)d & (long int)d2); |
| 359 |
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1 | case e_bitor: return isnan(d) || isnan(d2) ? NAN : e->value * ((long int)d | (long int)d2); |
| 360 | } | ||
| 361 | } | ||
| 362 | } | ||
| 363 | ✗ | return NAN; | |
| 364 | } | ||
| 365 | |||
| 366 | static int parse_expr(AVExpr **e, Parser *p); | ||
| 367 | |||
| 368 | 513299 | void av_expr_free(AVExpr *e) | |
| 369 | { | ||
| 370 |
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|
513299 | if (!e) return; |
| 371 | 84692 | av_expr_free(e->param[0]); | |
| 372 | 84692 | av_expr_free(e->param[1]); | |
| 373 | 84692 | av_expr_free(e->param[2]); | |
| 374 |
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84692 | if (e->root) { |
| 375 | 81112 | AVExprRoot *r = (AVExprRoot*)e; | |
| 376 | 81112 | av_freep(&r->var); | |
| 377 | 81112 | av_freep(&r->prng_state); | |
| 378 | } | ||
| 379 | 84692 | av_freep(&e); | |
| 380 | } | ||
| 381 | |||
| 382 | 83194 | static int parse_primary(AVExpr **e, Parser *p) | |
| 383 | { | ||
| 384 | 83194 | AVExpr *d = av_mallocz(sizeof(AVExpr)); | |
| 385 | 83194 | char *next = p->s, *s0 = p->s; | |
| 386 | int ret, i; | ||
| 387 | |||
| 388 |
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83194 | if (!d) |
| 389 | ✗ | return AVERROR(ENOMEM); | |
| 390 | |||
| 391 | /* number */ | ||
| 392 | 83194 | d->value = av_strtod(p->s, &next); | |
| 393 |
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83194 | if (next != p->s) { |
| 394 | 54209 | d->type = e_value; | |
| 395 | 54209 | p->s= next; | |
| 396 | 54209 | *e = d; | |
| 397 | 54209 | return 0; | |
| 398 | } | ||
| 399 | 28985 | d->value = 1; | |
| 400 | |||
| 401 | /* named constants */ | ||
| 402 |
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410480 | for (i=0; p->const_names && p->const_names[i]; i++) { |
| 403 |
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410024 | if (strmatch(p->s, p->const_names[i])) { |
| 404 | 28529 | p->s+= strlen(p->const_names[i]); | |
| 405 | 28529 | d->type = e_const; | |
| 406 | 28529 | d->const_index = i; | |
| 407 | 28529 | *e = d; | |
| 408 | 28529 | return 0; | |
| 409 | } | ||
| 410 | } | ||
| 411 |
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|
2091 | for (i = 0; i < FF_ARRAY_ELEMS(constants); i++) { |
| 412 |
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|
1698 | if (strmatch(p->s, constants[i].name)) { |
| 413 | 63 | p->s += strlen(constants[i].name); | |
| 414 | 63 | d->type = e_value; | |
| 415 | 63 | d->value = constants[i].value; | |
| 416 | 63 | *e = d; | |
| 417 | 63 | return 0; | |
| 418 | } | ||
| 419 | } | ||
| 420 | |||
| 421 | 393 | p->s= strchr(p->s, '('); | |
| 422 |
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|
393 | if (!p->s) { |
| 423 | 28 | av_log(p, AV_LOG_ERROR, "Undefined constant or missing '(' in '%s'\n", s0); | |
| 424 | 28 | p->s= next; | |
| 425 | 28 | av_expr_free(d); | |
| 426 | 28 | return AVERROR(EINVAL); | |
| 427 | } | ||
| 428 | 365 | p->s++; // "(" | |
| 429 |
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|
365 | if (*next == '(') { // special case do-nothing |
| 430 | 31 | av_freep(&d); | |
| 431 |
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31 | if ((ret = parse_expr(&d, p)) < 0) |
| 432 | ✗ | return ret; | |
| 433 |
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31 | if (p->s[0] != ')') { |
| 434 | ✗ | av_log(p, AV_LOG_ERROR, "Missing ')' in '%s'\n", s0); | |
| 435 | ✗ | av_expr_free(d); | |
| 436 | ✗ | return AVERROR(EINVAL); | |
| 437 | } | ||
| 438 | 31 | p->s++; // ")" | |
| 439 | 31 | *e = d; | |
| 440 | 31 | return 0; | |
| 441 | } | ||
| 442 |
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|
334 | if ((ret = parse_expr(&(d->param[0]), p)) < 0) { |
| 443 | 4 | av_expr_free(d); | |
| 444 | 4 | return ret; | |
| 445 | } | ||
| 446 |
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|
330 | if (p->s[0]== ',') { |
| 447 | 120 | p->s++; // "," | |
| 448 | 120 | parse_expr(&d->param[1], p); | |
| 449 | } | ||
| 450 |
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|
330 | if (p->s[0]== ',') { |
| 451 | 29 | p->s++; // "," | |
| 452 | 29 | parse_expr(&d->param[2], p); | |
| 453 | } | ||
| 454 |
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330 | if (p->s[0] != ')') { |
| 455 | ✗ | av_log(p, AV_LOG_ERROR, "Missing ')' or too many args in '%s'\n", s0); | |
| 456 | ✗ | av_expr_free(d); | |
| 457 | ✗ | return AVERROR(EINVAL); | |
| 458 | } | ||
| 459 | 330 | p->s++; // ")" | |
| 460 | |||
| 461 |
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1320 | for (int i = 0; i<3; i++) |
| 462 |
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|
990 | if (d->param[i]) |
| 463 | 479 | d->depth = FFMAX(d->depth, d->param[i]->depth+1); | |
| 464 |
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330 | if (d->depth > MAX_DEPTH) { |
| 465 | ✗ | av_expr_free(d); | |
| 466 | ✗ | return AVERROR(EINVAL); | |
| 467 | } | ||
| 468 | |||
| 469 | 330 | d->type = e_func0; | |
| 470 |
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330 | if (strmatch(next, "sinh" )) d->func0 = sinh; |
| 471 |
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|
330 | else if (strmatch(next, "cosh" )) d->func0 = cosh; |
| 472 |
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|
330 | else if (strmatch(next, "tanh" )) d->func0 = tanh; |
| 473 |
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|
330 | else if (strmatch(next, "sin" )) d->func0 = sin; |
| 474 |
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|
301 | else if (strmatch(next, "cos" )) d->func0 = cos; |
| 475 |
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|
289 | else if (strmatch(next, "tan" )) d->func0 = tan; |
| 476 |
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|
289 | else if (strmatch(next, "atan" )) d->func0 = atan; |
| 477 |
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|
289 | else if (strmatch(next, "asin" )) d->func0 = asin; |
| 478 |
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|
289 | else if (strmatch(next, "acos" )) d->func0 = acos; |
| 479 |
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|
289 | else if (strmatch(next, "exp" )) d->func0 = exp; |
| 480 |
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|
289 | else if (strmatch(next, "log" )) d->func0 = log; |
| 481 |
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|
288 | else if (strmatch(next, "abs" )) d->func0 = fabs; |
| 482 |
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|
288 | else if (strmatch(next, "time" )) d->func0 = etime; |
| 483 |
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|
288 | else if (strmatch(next, "squish")) d->type = e_squish; |
| 484 |
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|
287 | else if (strmatch(next, "gauss" )) d->type = e_gauss; |
| 485 |
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|
286 | else if (strmatch(next, "mod" )) d->type = e_mod; |
| 486 |
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|
278 | else if (strmatch(next, "max" )) d->type = e_max; |
| 487 |
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|
276 | else if (strmatch(next, "min" )) d->type = e_min; |
| 488 |
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|
275 | else if (strmatch(next, "eq" )) d->type = e_eq; |
| 489 |
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|
264 | else if (strmatch(next, "gte" )) d->type = e_gte; |
| 490 |
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|
257 | else if (strmatch(next, "gt" )) d->type = e_gt; |
| 491 |
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|
252 | else if (strmatch(next, "lte" )) d->type = e_lte; |
| 492 |
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|
246 | else if (strmatch(next, "lt" )) d->type = e_lt; |
| 493 |
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|
238 | else if (strmatch(next, "ld" )) d->type = e_ld; |
| 494 |
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|
213 | else if (strmatch(next, "isnan" )) d->type = e_isnan; |
| 495 |
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|
209 | else if (strmatch(next, "isinf" )) d->type = e_isinf; |
| 496 |
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|
206 | else if (strmatch(next, "st" )) d->type = e_st; |
| 497 |
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|
190 | else if (strmatch(next, "while" )) d->type = e_while; |
| 498 |
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|
186 | else if (strmatch(next, "taylor")) d->type = e_taylor; |
| 499 |
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|
184 | else if (strmatch(next, "root" )) d->type = e_root; |
| 500 |
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|
182 | else if (strmatch(next, "floor" )) d->type = e_floor; |
| 501 |
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|
178 | else if (strmatch(next, "ceil" )) d->type = e_ceil; |
| 502 |
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|
176 | else if (strmatch(next, "trunc" )) d->type = e_trunc; |
| 503 |
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|
174 | else if (strmatch(next, "round" )) d->type = e_round; |
| 504 |
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|
174 | else if (strmatch(next, "sqrt" )) d->type = e_sqrt; |
| 505 |
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|
172 | else if (strmatch(next, "not" )) d->type = e_not; |
| 506 |
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|
159 | else if (strmatch(next, "pow" )) d->type = e_pow; |
| 507 |
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|
156 | else if (strmatch(next, "print" )) d->type = e_print; |
| 508 |
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|
155 | else if (strmatch(next, "random")) d->type = e_random; |
| 509 |
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|
48 | else if (strmatch(next, "randomi")) d->type = e_randomi; |
| 510 |
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|
48 | else if (strmatch(next, "hypot" )) d->type = e_hypot; |
| 511 |
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|
47 | else if (strmatch(next, "gcd" )) d->type = e_gcd; |
| 512 |
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|
46 | else if (strmatch(next, "if" )) d->type = e_if; |
| 513 |
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|
33 | else if (strmatch(next, "ifnot" )) d->type = e_ifnot; |
| 514 |
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|
29 | else if (strmatch(next, "bitand")) d->type = e_bitand; |
| 515 |
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|
27 | else if (strmatch(next, "bitor" )) d->type = e_bitor; |
| 516 |
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|
26 | else if (strmatch(next, "between"))d->type = e_between; |
| 517 |
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|
14 | else if (strmatch(next, "clip" )) d->type = e_clip; |
| 518 |
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11 | else if (strmatch(next, "atan2" )) d->type = e_atan2; |
| 519 |
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11 | else if (strmatch(next, "lerp" )) d->type = e_lerp; |
| 520 |
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11 | else if (strmatch(next, "sgn" )) d->type = e_sgn; |
| 521 | else { | ||
| 522 |
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11 | for (i=0; p->func1_names && p->func1_names[i]; i++) { |
| 523 |
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4 | if (strmatch(next, p->func1_names[i])) { |
| 524 | 4 | d->func1 = p->funcs1[i]; | |
| 525 | 4 | d->type = e_func1; | |
| 526 | 4 | d->const_index = i; | |
| 527 | 4 | *e = d; | |
| 528 | 4 | return 0; | |
| 529 | } | ||
| 530 | } | ||
| 531 | |||
| 532 |
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7 | for (i=0; p->func2_names && p->func2_names[i]; i++) { |
| 533 |
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6 | if (strmatch(next, p->func2_names[i])) { |
| 534 | 6 | d->func2 = p->funcs2[i]; | |
| 535 | 6 | d->type = e_func2; | |
| 536 | 6 | d->const_index = i; | |
| 537 | 6 | *e = d; | |
| 538 | 6 | return 0; | |
| 539 | } | ||
| 540 | } | ||
| 541 | |||
| 542 | 1 | av_log(p, AV_LOG_ERROR, "Unknown function in '%s'\n", s0); | |
| 543 | 1 | av_expr_free(d); | |
| 544 | 1 | return AVERROR(EINVAL); | |
| 545 | } | ||
| 546 | |||
| 547 | 319 | *e = d; | |
| 548 | 319 | return 0; | |
| 549 | } | ||
| 550 | |||
| 551 | 1529 | static AVExpr *make_eval_expr(int type, int value, AVExpr *p0, AVExpr *p1) | |
| 552 | { | ||
| 553 | 1529 | int depth = FFMAX(p0->depth, p1->depth) + 1; | |
| 554 |
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|
1529 | if (depth > MAX_DEPTH) |
| 555 | ✗ | return NULL; | |
| 556 | 1529 | AVExpr *e = av_mallocz(sizeof(AVExpr)); | |
| 557 |
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|
1529 | if (!e) |
| 558 | ✗ | return NULL; | |
| 559 | 1529 | e->type =type ; | |
| 560 | 1529 | e->value =value ; | |
| 561 | 1529 | e->param[0] =p0 ; | |
| 562 | 1529 | e->param[1] =p1 ; | |
| 563 | 1529 | e->depth = depth; | |
| 564 | 1529 | return e; | |
| 565 | } | ||
| 566 | |||
| 567 | 83191 | static int parse_pow(AVExpr **e, Parser *p, int *sign) | |
| 568 | { | ||
| 569 | 83191 | *sign= (*p->s == '+') - (*p->s == '-'); | |
| 570 | 83191 | p->s += *sign&1; | |
| 571 | 83191 | return parse_primary(e, p); | |
| 572 | } | ||
| 573 | |||
| 574 | 83194 | static int parse_dB(AVExpr **e, Parser *p, int *sign) | |
| 575 | { | ||
| 576 | /* do not filter out the negative sign when parsing a dB value. | ||
| 577 | for example, -3dB is not the same as -(3dB) */ | ||
| 578 |
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83194 | if (*p->s == '-') { |
| 579 | char *next; | ||
| 580 | 453 | av_unused double ignored = strtod(p->s, &next); | |
| 581 |
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|
453 | if (next != p->s && next[0] == 'd' && next[1] == 'B') { |
| 582 | 3 | *sign = 0; | |
| 583 | 3 | return parse_primary(e, p); | |
| 584 | } | ||
| 585 | } | ||
| 586 | 83191 | return parse_pow(e, p, sign); | |
| 587 | } | ||
| 588 | |||
| 589 | 82976 | static int parse_factor(AVExpr **e, Parser *p) | |
| 590 | { | ||
| 591 | int sign, sign2, ret; | ||
| 592 | AVExpr *e0, *e1, *e2; | ||
| 593 |
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|
82976 | if ((ret = parse_dB(&e0, p, &sign)) < 0) |
| 594 | 33 | return ret; | |
| 595 |
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166104 | while(p->s[0]=='^'){ |
| 596 | 218 | e1 = e0; | |
| 597 | 218 | p->s++; | |
| 598 |
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218 | if ((ret = parse_dB(&e2, p, &sign2)) < 0) { |
| 599 | ✗ | av_expr_free(e1); | |
| 600 | ✗ | return ret; | |
| 601 | } | ||
| 602 | 218 | e0 = make_eval_expr(e_pow, 1, e1, e2); | |
| 603 |
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218 | if (!e0) { |
| 604 | ✗ | av_expr_free(e1); | |
| 605 | ✗ | av_expr_free(e2); | |
| 606 | ✗ | return AVERROR(ENOMEM); | |
| 607 | } | ||
| 608 |
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218 | if (e0->param[1]) e0->param[1]->value *= (sign2|1); |
| 609 | } | ||
| 610 |
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82943 | if (e0) e0->value *= (sign|1); |
| 611 | |||
| 612 | 82943 | *e = e0; | |
| 613 | 82943 | return 0; | |
| 614 | } | ||
| 615 | |||
| 616 | 82060 | static int parse_term(AVExpr **e, Parser *p) | |
| 617 | { | ||
| 618 | int ret; | ||
| 619 | AVExpr *e0, *e1, *e2; | ||
| 620 |
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82060 | if ((ret = parse_factor(&e0, p)) < 0) |
| 621 | 31 | return ret; | |
| 622 |
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|
82943 | while (p->s[0]=='*' || p->s[0]=='/') { |
| 623 | 916 | int c= *p->s++; | |
| 624 | 916 | e1 = e0; | |
| 625 |
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916 | if ((ret = parse_factor(&e2, p)) < 0) { |
| 626 | 2 | av_expr_free(e1); | |
| 627 | 2 | return ret; | |
| 628 | } | ||
| 629 |
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914 | e0 = make_eval_expr(c == '*' ? e_mul : e_div, 1, e1, e2); |
| 630 |
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914 | if (!e0) { |
| 631 | ✗ | av_expr_free(e1); | |
| 632 | ✗ | av_expr_free(e2); | |
| 633 | ✗ | return AVERROR(ENOMEM); | |
| 634 | } | ||
| 635 | } | ||
| 636 | 82027 | *e = e0; | |
| 637 | 82027 | return 0; | |
| 638 | } | ||
| 639 | |||
| 640 | 81680 | static int parse_subexpr(AVExpr **e, Parser *p) | |
| 641 | { | ||
| 642 | int ret; | ||
| 643 | AVExpr *e0, *e1, *e2; | ||
| 644 |
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81680 | if ((ret = parse_term(&e0, p)) < 0) |
| 645 | 32 | return ret; | |
| 646 |
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|
82027 | while (*p->s == '+' || *p->s == '-') { |
| 647 | 380 | e1 = e0; | |
| 648 |
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|
380 | if ((ret = parse_term(&e2, p)) < 0) { |
| 649 | 1 | av_expr_free(e1); | |
| 650 | 1 | return ret; | |
| 651 | } | ||
| 652 | 379 | e0 = make_eval_expr(e_add, 1, e1, e2); | |
| 653 |
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|
379 | if (!e0) { |
| 654 | ✗ | av_expr_free(e1); | |
| 655 | ✗ | av_expr_free(e2); | |
| 656 | ✗ | return AVERROR(ENOMEM); | |
| 657 | } | ||
| 658 | }; | ||
| 659 | |||
| 660 | 81647 | *e = e0; | |
| 661 | 81647 | return 0; | |
| 662 | } | ||
| 663 | |||
| 664 | 81662 | static int parse_expr(AVExpr **e, Parser *p) | |
| 665 | { | ||
| 666 | int ret; | ||
| 667 | AVExpr *e0, *e1, *e2; | ||
| 668 |
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|
81662 | if (p->stack_index <= 0) //protect against stack overflows |
| 669 | ✗ | return AVERROR(EINVAL); | |
| 670 | 81662 | p->stack_index--; | |
| 671 | |||
| 672 |
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81662 | if ((ret = parse_subexpr(&e0, p)) < 0) |
| 673 | 33 | return ret; | |
| 674 |
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|
81647 | while (*p->s == ';') { |
| 675 | 18 | p->s++; | |
| 676 | 18 | e1 = e0; | |
| 677 |
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|
18 | if ((ret = parse_subexpr(&e2, p)) < 0) { |
| 678 | ✗ | av_expr_free(e1); | |
| 679 | ✗ | return ret; | |
| 680 | } | ||
| 681 | 18 | e0 = make_eval_expr(e_last, 1, e1, e2); | |
| 682 |
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|
18 | if (!e0) { |
| 683 | ✗ | av_expr_free(e1); | |
| 684 | ✗ | av_expr_free(e2); | |
| 685 | ✗ | return AVERROR(ENOMEM); | |
| 686 | } | ||
| 687 | }; | ||
| 688 | |||
| 689 | 81629 | p->stack_index++; | |
| 690 | 81629 | *e = e0; | |
| 691 | 81629 | return 0; | |
| 692 | } | ||
| 693 | |||
| 694 | 84644 | static int verify_expr(AVExpr *e) | |
| 695 | { | ||
| 696 |
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|
84644 | if (!e) return 0; |
| 697 |
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|
84643 | switch (e->type) { |
| 698 | 82787 | case e_value: | |
| 699 | 82787 | case e_const: return 1; | |
| 700 | 210 | case e_func0: | |
| 701 | case e_func1: | ||
| 702 | case e_squish: | ||
| 703 | case e_ld: | ||
| 704 | case e_gauss: | ||
| 705 | case e_isnan: | ||
| 706 | case e_isinf: | ||
| 707 | case e_floor: | ||
| 708 | case e_ceil: | ||
| 709 | case e_trunc: | ||
| 710 | case e_round: | ||
| 711 | case e_sqrt: | ||
| 712 | case e_not: | ||
| 713 | case e_random: | ||
| 714 | case e_sgn: | ||
| 715 |
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|
210 | return verify_expr(e->param[0]) && !e->param[1]; |
| 716 | 1 | case e_print: | |
| 717 | 1 | return verify_expr(e->param[0]) | |
| 718 |
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1 | && (!e->param[1] || verify_expr(e->param[1])); |
| 719 | 19 | case e_if: | |
| 720 | case e_ifnot: | ||
| 721 | case e_taylor: | ||
| 722 |
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38 | return verify_expr(e->param[0]) && verify_expr(e->param[1]) |
| 723 |
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38 | && (!e->param[2] || verify_expr(e->param[2])); |
| 724 | 15 | case e_between: | |
| 725 | case e_clip: | ||
| 726 | case e_lerp: | ||
| 727 | case e_randomi: | ||
| 728 |
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30 | return verify_expr(e->param[0]) && |
| 729 |
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|
30 | verify_expr(e->param[1]) && |
| 730 | 15 | verify_expr(e->param[2]); | |
| 731 |
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|
1611 | default: return verify_expr(e->param[0]) && verify_expr(e->param[1]) && !e->param[2]; |
| 732 | } | ||
| 733 | } | ||
| 734 | |||
| 735 | 81148 | int av_expr_parse(AVExpr **expr, const char *s, | |
| 736 | const char * const *const_names, | ||
| 737 | const char * const *func1_names, double (* const *funcs1)(void *, double), | ||
| 738 | const char * const *func2_names, double (* const *funcs2)(void *, double, double), | ||
| 739 | int log_offset, void *log_ctx) | ||
| 740 | { | ||
| 741 | 81148 | Parser p = { 0 }; | |
| 742 | 81148 | AVExpr *e = NULL; | |
| 743 | 81148 | char *w = av_malloc(strlen(s) + 1); | |
| 744 | 81148 | char *wp = w; | |
| 745 | 81148 | const char *s0 = s; | |
| 746 | 81148 | int ret = 0; | |
| 747 | |||
| 748 |
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|
81148 | if (!w) |
| 749 | ✗ | return AVERROR(ENOMEM); | |
| 750 | |||
| 751 |
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|
255191 | while (*s) |
| 752 |
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|
174043 | if (!av_isspace(*s++)) *wp++ = s[-1]; |
| 753 | 81148 | *wp++ = 0; | |
| 754 | |||
| 755 | 81148 | p.class = &eval_class; | |
| 756 | 81148 | p.stack_index=100; | |
| 757 | 81148 | p.s= w; | |
| 758 | 81148 | p.const_names = const_names; | |
| 759 | 81148 | p.funcs1 = funcs1; | |
| 760 | 81148 | p.func1_names = func1_names; | |
| 761 | 81148 | p.funcs2 = funcs2; | |
| 762 | 81148 | p.func2_names = func2_names; | |
| 763 | 81148 | p.log_offset = log_offset; | |
| 764 | 81148 | p.log_ctx = log_ctx; | |
| 765 | |||
| 766 |
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|
81148 | if ((ret = parse_expr(&e, &p)) < 0) |
| 767 | 29 | goto end; | |
| 768 |
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|
81119 | if (*p.s) { |
| 769 | 5 | av_log(&p, AV_LOG_ERROR, "Invalid chars '%s' at the end of expression '%s'\n", p.s, s0); | |
| 770 | 5 | ret = AVERROR(EINVAL); | |
| 771 | 5 | goto end; | |
| 772 | } | ||
| 773 |
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|
81114 | if (!verify_expr(e)) { |
| 774 | 2 | ret = AVERROR(EINVAL); | |
| 775 | 2 | goto end; | |
| 776 | } | ||
| 777 | 81112 | AVExprRoot *r = av_realloc(e, sizeof(*r)); | |
| 778 |
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|
81112 | if (!r) { |
| 779 | ✗ | ret = AVERROR(ENOMEM); | |
| 780 | ✗ | goto end; | |
| 781 | } | ||
| 782 | 81112 | e = (AVExpr*)r; | |
| 783 | 81112 | e->root = 1; | |
| 784 | 81112 | r->var= av_mallocz(sizeof(double) *VARS); | |
| 785 | 81112 | r->prng_state = av_mallocz(sizeof(*r->prng_state) *VARS); | |
| 786 |
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81112 | if (!r->var || !r->prng_state) { |
| 787 | ✗ | ret = AVERROR(ENOMEM); | |
| 788 | ✗ | goto end; | |
| 789 | } | ||
| 790 | 81112 | *expr = e; | |
| 791 | 81112 | e = NULL; | |
| 792 | 81148 | end: | |
| 793 | 81148 | av_expr_free(e); | |
| 794 | 81148 | av_free(w); | |
| 795 | 81148 | return ret; | |
| 796 | } | ||
| 797 | |||
| 798 | 33810 | static int expr_count(AVExpr *e, unsigned *counter, int size, int type) | |
| 799 | { | ||
| 800 | int i; | ||
| 801 | |||
| 802 |
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|
33810 | if (!e || !counter || !size) |
| 803 | ✗ | return AVERROR(EINVAL); | |
| 804 | |||
| 805 |
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|
33822 | for (i = 0; e->type != type && i < 3 && e->param[i]; i++) |
| 806 | 12 | expr_count(e->param[i], counter, size, type); | |
| 807 | |||
| 808 |
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33810 | if (e->type == type && e->const_index < size) |
| 809 | 28145 | counter[e->const_index]++; | |
| 810 | |||
| 811 | 33810 | return 0; | |
| 812 | } | ||
| 813 | |||
| 814 | 33798 | int av_expr_count_vars(AVExpr *e, unsigned *counter, int size) | |
| 815 | { | ||
| 816 | 33798 | return expr_count(e, counter, size, e_const); | |
| 817 | } | ||
| 818 | |||
| 819 | ✗ | int av_expr_count_func(AVExpr *e, unsigned *counter, int size, int arg) | |
| 820 | { | ||
| 821 | ✗ | return expr_count(e, counter, size, ((int[]){e_const, e_func1, e_func2})[arg]); | |
| 822 | } | ||
| 823 | |||
| 824 | 21799327 | double av_expr_eval(AVExpr *e, const double *const_values, void *opaque) | |
| 825 | { | ||
| 826 | av_assert1(e->root); | ||
| 827 | 21799327 | AVExprRoot *r = (AVExprRoot *)e; | |
| 828 | 21799327 | Parser p = { | |
| 829 | .class = &eval_class, | ||
| 830 | .const_values = const_values, | ||
| 831 | .opaque = opaque, | ||
| 832 | 21799327 | .var = r->var, | |
| 833 | 21799327 | .prng_state = r->prng_state, | |
| 834 | }; | ||
| 835 | |||
| 836 | 21799327 | return eval_expr(&p, e); | |
| 837 | } | ||
| 838 | |||
| 839 | 57376 | int av_expr_parse_and_eval(double *d, const char *s, | |
| 840 | const char * const *const_names, const double *const_values, | ||
| 841 | const char * const *func1_names, double (* const *funcs1)(void *, double), | ||
| 842 | const char * const *func2_names, double (* const *funcs2)(void *, double, double), | ||
| 843 | void *opaque, int log_offset, void *log_ctx) | ||
| 844 | { | ||
| 845 | 57376 | AVExpr *e = NULL; | |
| 846 | 57376 | int ret = av_expr_parse(&e, s, const_names, func1_names, funcs1, func2_names, funcs2, log_offset, log_ctx); | |
| 847 | |||
| 848 |
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57376 | if (ret < 0) { |
| 849 | 36 | *d = NAN; | |
| 850 | 36 | return ret; | |
| 851 | } | ||
| 852 | 57340 | *d = av_expr_eval(e, const_values, opaque); | |
| 853 | 57340 | av_expr_free(e); | |
| 854 |
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57340 | return isnan(*d) ? AVERROR(EINVAL) : 0; |
| 855 | } | ||
| 856 |