Mike Frysinger | 98c5264 | 2009-04-02 10:02:37 +0000 | [diff] [blame] | 1 | /* |
| 2 | * arithmetic code ripped out of ash shell for code sharing |
| 3 | * |
| 4 | * Copyright (c) 1989, 1991, 1993, 1994 |
| 5 | * The Regents of the University of California. All rights reserved. |
| 6 | * |
| 7 | * Copyright (c) 1997-2005 Herbert Xu <herbert@gondor.apana.org.au> |
| 8 | * was re-ported from NetBSD and debianized. |
| 9 | * |
| 10 | * This code is derived from software contributed to Berkeley by |
| 11 | * Kenneth Almquist. |
| 12 | * |
| 13 | * Licensed under the GPL v2 or later, see the file LICENSE in this tarball. |
| 14 | * |
| 15 | * Original BSD copyright notice is retained at the end of this file. |
| 16 | */ |
| 17 | /* |
| 18 | * rewrite arith.y to micro stack based cryptic algorithm by |
| 19 | * Copyright (c) 2001 Aaron Lehmann <aaronl@vitelus.com> |
| 20 | * |
| 21 | * Modified by Paul Mundt <lethal@linux-sh.org> (c) 2004 to support |
| 22 | * dynamic variables. |
| 23 | * |
| 24 | * Modified by Vladimir Oleynik <dzo@simtreas.ru> (c) 2001-2005 to be |
| 25 | * used in busybox and size optimizations, |
| 26 | * rewrote arith (see notes to this), added locale support, |
| 27 | * rewrote dynamic variables. |
| 28 | */ |
Denis Vlasenko | 1943aec | 2009-04-09 14:15:57 +0000 | [diff] [blame] | 29 | #include "libbb.h" |
Mike Frysinger | 98c5264 | 2009-04-02 10:02:37 +0000 | [diff] [blame] | 30 | #include "math.h" |
| 31 | |
| 32 | #define a_e_h_t arith_eval_hooks_t |
| 33 | #define lookupvar (math_hooks->lookupvar) |
| 34 | #define setvar (math_hooks->setvar) |
| 35 | #define endofname (math_hooks->endofname) |
| 36 | |
| 37 | /* Copyright (c) 2001 Aaron Lehmann <aaronl@vitelus.com> |
| 38 | |
| 39 | Permission is hereby granted, free of charge, to any person obtaining |
| 40 | a copy of this software and associated documentation files (the |
| 41 | "Software"), to deal in the Software without restriction, including |
| 42 | without limitation the rights to use, copy, modify, merge, publish, |
| 43 | distribute, sublicense, and/or sell copies of the Software, and to |
| 44 | permit persons to whom the Software is furnished to do so, subject to |
| 45 | the following conditions: |
| 46 | |
| 47 | The above copyright notice and this permission notice shall be |
| 48 | included in all copies or substantial portions of the Software. |
| 49 | |
| 50 | THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, |
| 51 | EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF |
| 52 | MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. |
| 53 | IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY |
| 54 | CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, |
| 55 | TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE |
| 56 | SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. |
| 57 | */ |
| 58 | |
| 59 | /* This is my infix parser/evaluator. It is optimized for size, intended |
| 60 | * as a replacement for yacc-based parsers. However, it may well be faster |
| 61 | * than a comparable parser written in yacc. The supported operators are |
| 62 | * listed in #defines below. Parens, order of operations, and error handling |
| 63 | * are supported. This code is thread safe. The exact expression format should |
| 64 | * be that which POSIX specifies for shells. */ |
| 65 | |
| 66 | /* The code uses a simple two-stack algorithm. See |
| 67 | * http://www.onthenet.com.au/~grahamis/int2008/week02/lect02.html |
| 68 | * for a detailed explanation of the infix-to-postfix algorithm on which |
| 69 | * this is based (this code differs in that it applies operators immediately |
| 70 | * to the stack instead of adding them to a queue to end up with an |
| 71 | * expression). */ |
| 72 | |
| 73 | /* To use the routine, call it with an expression string and error return |
| 74 | * pointer */ |
| 75 | |
| 76 | /* |
| 77 | * Aug 24, 2001 Manuel Novoa III |
| 78 | * |
| 79 | * Reduced the generated code size by about 30% (i386) and fixed several bugs. |
| 80 | * |
| 81 | * 1) In arith_apply(): |
| 82 | * a) Cached values of *numptr and &(numptr[-1]). |
| 83 | * b) Removed redundant test for zero denominator. |
| 84 | * |
| 85 | * 2) In arith(): |
| 86 | * a) Eliminated redundant code for processing operator tokens by moving |
| 87 | * to a table-based implementation. Also folded handling of parens |
| 88 | * into the table. |
| 89 | * b) Combined all 3 loops which called arith_apply to reduce generated |
| 90 | * code size at the cost of speed. |
| 91 | * |
| 92 | * 3) The following expressions were treated as valid by the original code: |
| 93 | * 1() , 0! , 1 ( *3 ) . |
| 94 | * These bugs have been fixed by internally enclosing the expression in |
| 95 | * parens and then checking that all binary ops and right parens are |
| 96 | * preceded by a valid expression (NUM_TOKEN). |
| 97 | * |
| 98 | * Note: It may be desirable to replace Aaron's test for whitespace with |
| 99 | * ctype's isspace() if it is used by another busybox applet or if additional |
| 100 | * whitespace chars should be considered. Look below the "#include"s for a |
| 101 | * precompiler test. |
| 102 | */ |
| 103 | |
| 104 | /* |
| 105 | * Aug 26, 2001 Manuel Novoa III |
| 106 | * |
| 107 | * Return 0 for null expressions. Pointed out by Vladimir Oleynik. |
| 108 | * |
| 109 | * Merge in Aaron's comments previously posted to the busybox list, |
| 110 | * modified slightly to take account of my changes to the code. |
| 111 | * |
| 112 | */ |
| 113 | |
| 114 | /* |
| 115 | * (C) 2003 Vladimir Oleynik <dzo@simtreas.ru> |
| 116 | * |
| 117 | * - allow access to variable, |
| 118 | * used recursive find value indirection (c=2*2; a="c"; $((a+=2)) produce 6) |
| 119 | * - realize assign syntax (VAR=expr, +=, *= etc) |
| 120 | * - realize exponentiation (** operator) |
| 121 | * - realize comma separated - expr, expr |
| 122 | * - realise ++expr --expr expr++ expr-- |
| 123 | * - realise expr ? expr : expr (but, second expr calculate always) |
| 124 | * - allow hexadecimal and octal numbers |
| 125 | * - was restored loses XOR operator |
| 126 | * - remove one goto label, added three ;-) |
| 127 | * - protect $((num num)) as true zero expr (Manuel`s error) |
| 128 | * - always use special isspace(), see comment from bash ;-) |
| 129 | */ |
| 130 | |
| 131 | #define arith_isspace(arithval) \ |
| 132 | (arithval == ' ' || arithval == '\n' || arithval == '\t') |
| 133 | |
| 134 | typedef unsigned char operator; |
| 135 | |
| 136 | /* An operator's token id is a bit of a bitfield. The lower 5 bits are the |
| 137 | * precedence, and 3 high bits are an ID unique across operators of that |
| 138 | * precedence. The ID portion is so that multiple operators can have the |
| 139 | * same precedence, ensuring that the leftmost one is evaluated first. |
| 140 | * Consider * and /. */ |
| 141 | |
| 142 | #define tok_decl(prec,id) (((id)<<5)|(prec)) |
| 143 | #define PREC(op) ((op) & 0x1F) |
| 144 | |
| 145 | #define TOK_LPAREN tok_decl(0,0) |
| 146 | |
| 147 | #define TOK_COMMA tok_decl(1,0) |
| 148 | |
| 149 | #define TOK_ASSIGN tok_decl(2,0) |
| 150 | #define TOK_AND_ASSIGN tok_decl(2,1) |
| 151 | #define TOK_OR_ASSIGN tok_decl(2,2) |
| 152 | #define TOK_XOR_ASSIGN tok_decl(2,3) |
| 153 | #define TOK_PLUS_ASSIGN tok_decl(2,4) |
| 154 | #define TOK_MINUS_ASSIGN tok_decl(2,5) |
| 155 | #define TOK_LSHIFT_ASSIGN tok_decl(2,6) |
| 156 | #define TOK_RSHIFT_ASSIGN tok_decl(2,7) |
| 157 | |
| 158 | #define TOK_MUL_ASSIGN tok_decl(3,0) |
| 159 | #define TOK_DIV_ASSIGN tok_decl(3,1) |
| 160 | #define TOK_REM_ASSIGN tok_decl(3,2) |
| 161 | |
| 162 | /* all assign is right associativity and precedence eq, but (7+3)<<5 > 256 */ |
| 163 | #define convert_prec_is_assing(prec) do { if (prec == 3) prec = 2; } while (0) |
| 164 | |
| 165 | /* conditional is right associativity too */ |
| 166 | #define TOK_CONDITIONAL tok_decl(4,0) |
| 167 | #define TOK_CONDITIONAL_SEP tok_decl(4,1) |
| 168 | |
| 169 | #define TOK_OR tok_decl(5,0) |
| 170 | |
| 171 | #define TOK_AND tok_decl(6,0) |
| 172 | |
| 173 | #define TOK_BOR tok_decl(7,0) |
| 174 | |
| 175 | #define TOK_BXOR tok_decl(8,0) |
| 176 | |
| 177 | #define TOK_BAND tok_decl(9,0) |
| 178 | |
| 179 | #define TOK_EQ tok_decl(10,0) |
| 180 | #define TOK_NE tok_decl(10,1) |
| 181 | |
| 182 | #define TOK_LT tok_decl(11,0) |
| 183 | #define TOK_GT tok_decl(11,1) |
| 184 | #define TOK_GE tok_decl(11,2) |
| 185 | #define TOK_LE tok_decl(11,3) |
| 186 | |
| 187 | #define TOK_LSHIFT tok_decl(12,0) |
| 188 | #define TOK_RSHIFT tok_decl(12,1) |
| 189 | |
| 190 | #define TOK_ADD tok_decl(13,0) |
| 191 | #define TOK_SUB tok_decl(13,1) |
| 192 | |
| 193 | #define TOK_MUL tok_decl(14,0) |
| 194 | #define TOK_DIV tok_decl(14,1) |
| 195 | #define TOK_REM tok_decl(14,2) |
| 196 | |
| 197 | /* exponent is right associativity */ |
| 198 | #define TOK_EXPONENT tok_decl(15,1) |
| 199 | |
| 200 | /* For now unary operators. */ |
| 201 | #define UNARYPREC 16 |
| 202 | #define TOK_BNOT tok_decl(UNARYPREC,0) |
| 203 | #define TOK_NOT tok_decl(UNARYPREC,1) |
| 204 | |
| 205 | #define TOK_UMINUS tok_decl(UNARYPREC+1,0) |
| 206 | #define TOK_UPLUS tok_decl(UNARYPREC+1,1) |
| 207 | |
| 208 | #define PREC_PRE (UNARYPREC+2) |
| 209 | |
| 210 | #define TOK_PRE_INC tok_decl(PREC_PRE, 0) |
| 211 | #define TOK_PRE_DEC tok_decl(PREC_PRE, 1) |
| 212 | |
| 213 | #define PREC_POST (UNARYPREC+3) |
| 214 | |
| 215 | #define TOK_POST_INC tok_decl(PREC_POST, 0) |
| 216 | #define TOK_POST_DEC tok_decl(PREC_POST, 1) |
| 217 | |
| 218 | #define SPEC_PREC (UNARYPREC+4) |
| 219 | |
| 220 | #define TOK_NUM tok_decl(SPEC_PREC, 0) |
| 221 | #define TOK_RPAREN tok_decl(SPEC_PREC, 1) |
| 222 | |
| 223 | #define NUMPTR (*numstackptr) |
| 224 | |
| 225 | static int |
| 226 | tok_have_assign(operator op) |
| 227 | { |
| 228 | operator prec = PREC(op); |
| 229 | |
| 230 | convert_prec_is_assing(prec); |
| 231 | return (prec == PREC(TOK_ASSIGN) || |
| 232 | prec == PREC_PRE || prec == PREC_POST); |
| 233 | } |
| 234 | |
| 235 | static int |
| 236 | is_right_associativity(operator prec) |
| 237 | { |
| 238 | return (prec == PREC(TOK_ASSIGN) || prec == PREC(TOK_EXPONENT) |
| 239 | || prec == PREC(TOK_CONDITIONAL)); |
| 240 | } |
| 241 | |
| 242 | typedef struct { |
| 243 | arith_t val; |
| 244 | arith_t contidional_second_val; |
| 245 | char contidional_second_val_initialized; |
| 246 | char *var; /* if NULL then is regular number, |
| 247 | else is variable name */ |
| 248 | } v_n_t; |
| 249 | |
| 250 | typedef struct chk_var_recursive_looped_t { |
| 251 | const char *var; |
| 252 | struct chk_var_recursive_looped_t *next; |
| 253 | } chk_var_recursive_looped_t; |
| 254 | |
| 255 | static chk_var_recursive_looped_t *prev_chk_var_recursive; |
| 256 | |
| 257 | static int |
| 258 | arith_lookup_val(v_n_t *t, a_e_h_t *math_hooks) |
| 259 | { |
| 260 | if (t->var) { |
| 261 | const char * p = lookupvar(t->var); |
| 262 | |
| 263 | if (p) { |
| 264 | int errcode; |
| 265 | |
| 266 | /* recursive try as expression */ |
| 267 | chk_var_recursive_looped_t *cur; |
| 268 | chk_var_recursive_looped_t cur_save; |
| 269 | |
| 270 | for (cur = prev_chk_var_recursive; cur; cur = cur->next) { |
| 271 | if (strcmp(cur->var, t->var) == 0) { |
| 272 | /* expression recursion loop detected */ |
| 273 | return -5; |
| 274 | } |
| 275 | } |
| 276 | /* save current lookuped var name */ |
| 277 | cur = prev_chk_var_recursive; |
| 278 | cur_save.var = t->var; |
| 279 | cur_save.next = cur; |
| 280 | prev_chk_var_recursive = &cur_save; |
| 281 | |
| 282 | t->val = arith (p, &errcode, math_hooks); |
| 283 | /* restore previous ptr after recursiving */ |
| 284 | prev_chk_var_recursive = cur; |
| 285 | return errcode; |
| 286 | } |
| 287 | /* allow undefined var as 0 */ |
| 288 | t->val = 0; |
| 289 | } |
| 290 | return 0; |
| 291 | } |
| 292 | |
| 293 | /* "applying" a token means performing it on the top elements on the integer |
| 294 | * stack. For a unary operator it will only change the top element, but a |
| 295 | * binary operator will pop two arguments and push a result */ |
| 296 | static int |
| 297 | arith_apply(operator op, v_n_t *numstack, v_n_t **numstackptr, a_e_h_t *math_hooks) |
| 298 | { |
| 299 | v_n_t *numptr_m1; |
| 300 | arith_t numptr_val, rez; |
| 301 | int ret_arith_lookup_val; |
| 302 | |
| 303 | /* There is no operator that can work without arguments */ |
| 304 | if (NUMPTR == numstack) goto err; |
| 305 | numptr_m1 = NUMPTR - 1; |
| 306 | |
| 307 | /* check operand is var with noninteger value */ |
| 308 | ret_arith_lookup_val = arith_lookup_val(numptr_m1, math_hooks); |
| 309 | if (ret_arith_lookup_val) |
| 310 | return ret_arith_lookup_val; |
| 311 | |
| 312 | rez = numptr_m1->val; |
| 313 | if (op == TOK_UMINUS) |
| 314 | rez *= -1; |
| 315 | else if (op == TOK_NOT) |
| 316 | rez = !rez; |
| 317 | else if (op == TOK_BNOT) |
| 318 | rez = ~rez; |
| 319 | else if (op == TOK_POST_INC || op == TOK_PRE_INC) |
| 320 | rez++; |
| 321 | else if (op == TOK_POST_DEC || op == TOK_PRE_DEC) |
| 322 | rez--; |
| 323 | else if (op != TOK_UPLUS) { |
| 324 | /* Binary operators */ |
| 325 | |
| 326 | /* check and binary operators need two arguments */ |
| 327 | if (numptr_m1 == numstack) goto err; |
| 328 | |
| 329 | /* ... and they pop one */ |
| 330 | --NUMPTR; |
| 331 | numptr_val = rez; |
| 332 | if (op == TOK_CONDITIONAL) { |
| 333 | if (!numptr_m1->contidional_second_val_initialized) { |
| 334 | /* protect $((expr1 ? expr2)) without ": expr" */ |
| 335 | goto err; |
| 336 | } |
| 337 | rez = numptr_m1->contidional_second_val; |
| 338 | } else if (numptr_m1->contidional_second_val_initialized) { |
| 339 | /* protect $((expr1 : expr2)) without "expr ? " */ |
| 340 | goto err; |
| 341 | } |
| 342 | numptr_m1 = NUMPTR - 1; |
| 343 | if (op != TOK_ASSIGN) { |
| 344 | /* check operand is var with noninteger value for not '=' */ |
| 345 | ret_arith_lookup_val = arith_lookup_val(numptr_m1, math_hooks); |
| 346 | if (ret_arith_lookup_val) |
| 347 | return ret_arith_lookup_val; |
| 348 | } |
| 349 | if (op == TOK_CONDITIONAL) { |
| 350 | numptr_m1->contidional_second_val = rez; |
| 351 | } |
| 352 | rez = numptr_m1->val; |
| 353 | if (op == TOK_BOR || op == TOK_OR_ASSIGN) |
| 354 | rez |= numptr_val; |
| 355 | else if (op == TOK_OR) |
| 356 | rez = numptr_val || rez; |
| 357 | else if (op == TOK_BAND || op == TOK_AND_ASSIGN) |
| 358 | rez &= numptr_val; |
| 359 | else if (op == TOK_BXOR || op == TOK_XOR_ASSIGN) |
| 360 | rez ^= numptr_val; |
| 361 | else if (op == TOK_AND) |
| 362 | rez = rez && numptr_val; |
| 363 | else if (op == TOK_EQ) |
| 364 | rez = (rez == numptr_val); |
| 365 | else if (op == TOK_NE) |
| 366 | rez = (rez != numptr_val); |
| 367 | else if (op == TOK_GE) |
| 368 | rez = (rez >= numptr_val); |
| 369 | else if (op == TOK_RSHIFT || op == TOK_RSHIFT_ASSIGN) |
| 370 | rez >>= numptr_val; |
| 371 | else if (op == TOK_LSHIFT || op == TOK_LSHIFT_ASSIGN) |
| 372 | rez <<= numptr_val; |
| 373 | else if (op == TOK_GT) |
| 374 | rez = (rez > numptr_val); |
| 375 | else if (op == TOK_LT) |
| 376 | rez = (rez < numptr_val); |
| 377 | else if (op == TOK_LE) |
| 378 | rez = (rez <= numptr_val); |
| 379 | else if (op == TOK_MUL || op == TOK_MUL_ASSIGN) |
| 380 | rez *= numptr_val; |
| 381 | else if (op == TOK_ADD || op == TOK_PLUS_ASSIGN) |
| 382 | rez += numptr_val; |
| 383 | else if (op == TOK_SUB || op == TOK_MINUS_ASSIGN) |
| 384 | rez -= numptr_val; |
| 385 | else if (op == TOK_ASSIGN || op == TOK_COMMA) |
| 386 | rez = numptr_val; |
| 387 | else if (op == TOK_CONDITIONAL_SEP) { |
| 388 | if (numptr_m1 == numstack) { |
| 389 | /* protect $((expr : expr)) without "expr ? " */ |
| 390 | goto err; |
| 391 | } |
| 392 | numptr_m1->contidional_second_val_initialized = op; |
| 393 | numptr_m1->contidional_second_val = numptr_val; |
| 394 | } else if (op == TOK_CONDITIONAL) { |
| 395 | rez = rez ? |
| 396 | numptr_val : numptr_m1->contidional_second_val; |
| 397 | } else if (op == TOK_EXPONENT) { |
| 398 | if (numptr_val < 0) |
| 399 | return -3; /* exponent less than 0 */ |
| 400 | else { |
| 401 | arith_t c = 1; |
| 402 | |
| 403 | if (numptr_val) |
| 404 | while (numptr_val--) |
| 405 | c *= rez; |
| 406 | rez = c; |
| 407 | } |
| 408 | } else if (numptr_val==0) /* zero divisor check */ |
| 409 | return -2; |
| 410 | else if (op == TOK_DIV || op == TOK_DIV_ASSIGN) |
| 411 | rez /= numptr_val; |
| 412 | else if (op == TOK_REM || op == TOK_REM_ASSIGN) |
| 413 | rez %= numptr_val; |
| 414 | } |
| 415 | if (tok_have_assign(op)) { |
Denis Vlasenko | cc8289d | 2009-04-03 21:13:31 +0000 | [diff] [blame] | 416 | char buf[sizeof(arith_t)*3 + 2]; |
Mike Frysinger | 98c5264 | 2009-04-02 10:02:37 +0000 | [diff] [blame] | 417 | |
| 418 | if (numptr_m1->var == NULL) { |
| 419 | /* Hmm, 1=2 ? */ |
| 420 | goto err; |
| 421 | } |
| 422 | /* save to shell variable */ |
Denis Vlasenko | cc8289d | 2009-04-03 21:13:31 +0000 | [diff] [blame] | 423 | sprintf(buf, arith_t_fmt, rez); |
Mike Frysinger | 98c5264 | 2009-04-02 10:02:37 +0000 | [diff] [blame] | 424 | setvar(numptr_m1->var, buf, 0); |
| 425 | /* after saving, make previous value for v++ or v-- */ |
| 426 | if (op == TOK_POST_INC) |
| 427 | rez--; |
| 428 | else if (op == TOK_POST_DEC) |
| 429 | rez++; |
| 430 | } |
| 431 | numptr_m1->val = rez; |
| 432 | /* protect geting var value, is number now */ |
| 433 | numptr_m1->var = NULL; |
| 434 | return 0; |
| 435 | err: |
| 436 | return -1; |
| 437 | } |
| 438 | |
| 439 | /* longest must be first */ |
| 440 | static const char op_tokens[] ALIGN1 = { |
| 441 | '<','<','=',0, TOK_LSHIFT_ASSIGN, |
| 442 | '>','>','=',0, TOK_RSHIFT_ASSIGN, |
| 443 | '<','<', 0, TOK_LSHIFT, |
| 444 | '>','>', 0, TOK_RSHIFT, |
| 445 | '|','|', 0, TOK_OR, |
| 446 | '&','&', 0, TOK_AND, |
| 447 | '!','=', 0, TOK_NE, |
| 448 | '<','=', 0, TOK_LE, |
| 449 | '>','=', 0, TOK_GE, |
| 450 | '=','=', 0, TOK_EQ, |
| 451 | '|','=', 0, TOK_OR_ASSIGN, |
| 452 | '&','=', 0, TOK_AND_ASSIGN, |
| 453 | '*','=', 0, TOK_MUL_ASSIGN, |
| 454 | '/','=', 0, TOK_DIV_ASSIGN, |
| 455 | '%','=', 0, TOK_REM_ASSIGN, |
| 456 | '+','=', 0, TOK_PLUS_ASSIGN, |
| 457 | '-','=', 0, TOK_MINUS_ASSIGN, |
| 458 | '-','-', 0, TOK_POST_DEC, |
| 459 | '^','=', 0, TOK_XOR_ASSIGN, |
| 460 | '+','+', 0, TOK_POST_INC, |
| 461 | '*','*', 0, TOK_EXPONENT, |
| 462 | '!', 0, TOK_NOT, |
| 463 | '<', 0, TOK_LT, |
| 464 | '>', 0, TOK_GT, |
| 465 | '=', 0, TOK_ASSIGN, |
| 466 | '|', 0, TOK_BOR, |
| 467 | '&', 0, TOK_BAND, |
| 468 | '*', 0, TOK_MUL, |
| 469 | '/', 0, TOK_DIV, |
| 470 | '%', 0, TOK_REM, |
| 471 | '+', 0, TOK_ADD, |
| 472 | '-', 0, TOK_SUB, |
| 473 | '^', 0, TOK_BXOR, |
| 474 | /* uniq */ |
| 475 | '~', 0, TOK_BNOT, |
| 476 | ',', 0, TOK_COMMA, |
| 477 | '?', 0, TOK_CONDITIONAL, |
| 478 | ':', 0, TOK_CONDITIONAL_SEP, |
| 479 | ')', 0, TOK_RPAREN, |
| 480 | '(', 0, TOK_LPAREN, |
| 481 | 0 |
| 482 | }; |
| 483 | /* ptr to ")" */ |
| 484 | #define endexpression (&op_tokens[sizeof(op_tokens)-7]) |
| 485 | |
| 486 | arith_t |
| 487 | arith(const char *expr, int *perrcode, a_e_h_t *math_hooks) |
| 488 | { |
| 489 | char arithval; /* Current character under analysis */ |
| 490 | operator lasttok, op; |
| 491 | operator prec; |
| 492 | operator *stack, *stackptr; |
| 493 | const char *p = endexpression; |
| 494 | int errcode; |
| 495 | v_n_t *numstack, *numstackptr; |
| 496 | unsigned datasizes = strlen(expr) + 2; |
| 497 | |
| 498 | /* Stack of integers */ |
| 499 | /* The proof that there can be no more than strlen(startbuf)/2+1 integers |
| 500 | * in any given correct or incorrect expression is left as an exercise to |
| 501 | * the reader. */ |
| 502 | numstackptr = numstack = alloca((datasizes / 2) * sizeof(numstack[0])); |
| 503 | /* Stack of operator tokens */ |
| 504 | stackptr = stack = alloca(datasizes * sizeof(stack[0])); |
| 505 | |
| 506 | *stackptr++ = lasttok = TOK_LPAREN; /* start off with a left paren */ |
| 507 | *perrcode = errcode = 0; |
| 508 | |
| 509 | while (1) { |
| 510 | arithval = *expr; |
| 511 | if (arithval == 0) { |
| 512 | if (p == endexpression) { |
| 513 | /* Null expression. */ |
| 514 | return 0; |
| 515 | } |
| 516 | |
| 517 | /* This is only reached after all tokens have been extracted from the |
| 518 | * input stream. If there are still tokens on the operator stack, they |
| 519 | * are to be applied in order. At the end, there should be a final |
| 520 | * result on the integer stack */ |
| 521 | |
| 522 | if (expr != endexpression + 1) { |
| 523 | /* If we haven't done so already, */ |
| 524 | /* append a closing right paren */ |
| 525 | expr = endexpression; |
| 526 | /* and let the loop process it. */ |
| 527 | continue; |
| 528 | } |
| 529 | /* At this point, we're done with the expression. */ |
| 530 | if (numstackptr != numstack+1) { |
| 531 | /* ... but if there isn't, it's bad */ |
| 532 | err: |
| 533 | *perrcode = -1; |
| 534 | return *perrcode; |
| 535 | } |
| 536 | if (numstack->var) { |
| 537 | /* expression is $((var)) only, lookup now */ |
| 538 | errcode = arith_lookup_val(numstack, math_hooks); |
| 539 | } |
| 540 | ret: |
| 541 | *perrcode = errcode; |
| 542 | return numstack->val; |
| 543 | } |
| 544 | |
| 545 | /* Continue processing the expression. */ |
| 546 | if (arith_isspace(arithval)) { |
| 547 | /* Skip whitespace */ |
| 548 | goto prologue; |
| 549 | } |
| 550 | p = endofname(expr); |
| 551 | if (p != expr) { |
| 552 | size_t var_name_size = (p-expr) + 1; /* trailing zero */ |
| 553 | |
| 554 | numstackptr->var = alloca(var_name_size); |
| 555 | safe_strncpy(numstackptr->var, expr, var_name_size); |
| 556 | expr = p; |
| 557 | num: |
| 558 | numstackptr->contidional_second_val_initialized = 0; |
| 559 | numstackptr++; |
| 560 | lasttok = TOK_NUM; |
| 561 | continue; |
| 562 | } |
| 563 | if (isdigit(arithval)) { |
| 564 | numstackptr->var = NULL; |
Denys Vlasenko | 71016ba | 2009-06-05 16:24:29 +0200 | [diff] [blame^] | 565 | errno = 0; |
| 566 | /* call strtoul[l]: */ |
Mike Frysinger | 98c5264 | 2009-04-02 10:02:37 +0000 | [diff] [blame] | 567 | numstackptr->val = strto_arith_t(expr, (char **) &expr, 0); |
Denys Vlasenko | 71016ba | 2009-06-05 16:24:29 +0200 | [diff] [blame^] | 568 | if (errno) |
| 569 | numstackptr->val = 0; /* bash compat */ |
Mike Frysinger | 98c5264 | 2009-04-02 10:02:37 +0000 | [diff] [blame] | 570 | goto num; |
| 571 | } |
| 572 | for (p = op_tokens; ; p++) { |
| 573 | const char *o; |
| 574 | |
| 575 | if (*p == 0) { |
| 576 | /* strange operator not found */ |
| 577 | goto err; |
| 578 | } |
| 579 | for (o = expr; *p && *o == *p; p++) |
| 580 | o++; |
| 581 | if (!*p) { |
| 582 | /* found */ |
| 583 | expr = o - 1; |
| 584 | break; |
| 585 | } |
| 586 | /* skip tail uncompared token */ |
| 587 | while (*p) |
| 588 | p++; |
| 589 | /* skip zero delim */ |
| 590 | p++; |
| 591 | } |
| 592 | op = p[1]; |
| 593 | |
| 594 | /* post grammar: a++ reduce to num */ |
| 595 | if (lasttok == TOK_POST_INC || lasttok == TOK_POST_DEC) |
| 596 | lasttok = TOK_NUM; |
| 597 | |
| 598 | /* Plus and minus are binary (not unary) _only_ if the last |
Denys Vlasenko | 71016ba | 2009-06-05 16:24:29 +0200 | [diff] [blame^] | 599 | * token was a number, or a right paren (which pretends to be |
Mike Frysinger | 98c5264 | 2009-04-02 10:02:37 +0000 | [diff] [blame] | 600 | * a number, since it evaluates to one). Think about it. |
| 601 | * It makes sense. */ |
| 602 | if (lasttok != TOK_NUM) { |
| 603 | switch (op) { |
| 604 | case TOK_ADD: |
| 605 | op = TOK_UPLUS; |
| 606 | break; |
| 607 | case TOK_SUB: |
| 608 | op = TOK_UMINUS; |
| 609 | break; |
| 610 | case TOK_POST_INC: |
| 611 | op = TOK_PRE_INC; |
| 612 | break; |
| 613 | case TOK_POST_DEC: |
| 614 | op = TOK_PRE_DEC; |
| 615 | break; |
| 616 | } |
| 617 | } |
Denys Vlasenko | 71016ba | 2009-06-05 16:24:29 +0200 | [diff] [blame^] | 618 | /* We don't want an unary operator to cause recursive descent on the |
Mike Frysinger | 98c5264 | 2009-04-02 10:02:37 +0000 | [diff] [blame] | 619 | * stack, because there can be many in a row and it could cause an |
| 620 | * operator to be evaluated before its argument is pushed onto the |
| 621 | * integer stack. */ |
| 622 | /* But for binary operators, "apply" everything on the operator |
| 623 | * stack until we find an operator with a lesser priority than the |
| 624 | * one we have just extracted. */ |
| 625 | /* Left paren is given the lowest priority so it will never be |
| 626 | * "applied" in this way. |
| 627 | * if associativity is right and priority eq, applied also skip |
| 628 | */ |
| 629 | prec = PREC(op); |
| 630 | if ((prec > 0 && prec < UNARYPREC) || prec == SPEC_PREC) { |
| 631 | /* not left paren or unary */ |
| 632 | if (lasttok != TOK_NUM) { |
| 633 | /* binary op must be preceded by a num */ |
| 634 | goto err; |
| 635 | } |
| 636 | while (stackptr != stack) { |
| 637 | if (op == TOK_RPAREN) { |
| 638 | /* The algorithm employed here is simple: while we don't |
| 639 | * hit an open paren nor the bottom of the stack, pop |
| 640 | * tokens and apply them */ |
| 641 | if (stackptr[-1] == TOK_LPAREN) { |
| 642 | --stackptr; |
| 643 | /* Any operator directly after a */ |
| 644 | lasttok = TOK_NUM; |
| 645 | /* close paren should consider itself binary */ |
| 646 | goto prologue; |
| 647 | } |
| 648 | } else { |
| 649 | operator prev_prec = PREC(stackptr[-1]); |
| 650 | |
| 651 | convert_prec_is_assing(prec); |
| 652 | convert_prec_is_assing(prev_prec); |
| 653 | if (prev_prec < prec) |
| 654 | break; |
| 655 | /* check right assoc */ |
| 656 | if (prev_prec == prec && is_right_associativity(prec)) |
| 657 | break; |
| 658 | } |
| 659 | errcode = arith_apply(*--stackptr, numstack, &numstackptr, math_hooks); |
| 660 | if (errcode) goto ret; |
| 661 | } |
| 662 | if (op == TOK_RPAREN) { |
| 663 | goto err; |
| 664 | } |
| 665 | } |
| 666 | |
| 667 | /* Push this operator to the stack and remember it. */ |
| 668 | *stackptr++ = lasttok = op; |
| 669 | prologue: |
| 670 | ++expr; |
| 671 | } /* while */ |
| 672 | } |
| 673 | |
Denis Vlasenko | cc8289d | 2009-04-03 21:13:31 +0000 | [diff] [blame] | 674 | /* |
Mike Frysinger | 98c5264 | 2009-04-02 10:02:37 +0000 | [diff] [blame] | 675 | * Copyright (c) 1989, 1991, 1993, 1994 |
| 676 | * The Regents of the University of California. All rights reserved. |
| 677 | * |
| 678 | * This code is derived from software contributed to Berkeley by |
| 679 | * Kenneth Almquist. |
| 680 | * |
| 681 | * Redistribution and use in source and binary forms, with or without |
| 682 | * modification, are permitted provided that the following conditions |
| 683 | * are met: |
| 684 | * 1. Redistributions of source code must retain the above copyright |
| 685 | * notice, this list of conditions and the following disclaimer. |
| 686 | * 2. Redistributions in binary form must reproduce the above copyright |
| 687 | * notice, this list of conditions and the following disclaimer in the |
| 688 | * documentation and/or other materials provided with the distribution. |
| 689 | * 3. Neither the name of the University nor the names of its contributors |
| 690 | * may be used to endorse or promote products derived from this software |
| 691 | * without specific prior written permission. |
| 692 | * |
| 693 | * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND |
| 694 | * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE |
| 695 | * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE |
| 696 | * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE |
| 697 | * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL |
| 698 | * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS |
| 699 | * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) |
| 700 | * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
| 701 | * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY |
| 702 | * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF |
| 703 | * SUCH DAMAGE. |
| 704 | */ |