blob: 91fb28f0560ef4ccee30e2c49cfb9d1811c89655 [file] [log] [blame]
Mike Frysinger98c52642009-04-02 10:02:37 +00001/*
2 * arithmetic code ripped out of ash shell for code sharing
3 *
Denys Vlasenko73067272010-01-12 22:11:24 +01004 * This code is derived from software contributed to Berkeley by
5 * Kenneth Almquist.
6 *
7 * Original BSD copyright notice is retained at the end of this file.
8 *
Mike Frysinger98c52642009-04-02 10:02:37 +00009 * Copyright (c) 1989, 1991, 1993, 1994
10 * The Regents of the University of California. All rights reserved.
11 *
12 * Copyright (c) 1997-2005 Herbert Xu <herbert@gondor.apana.org.au>
13 * was re-ported from NetBSD and debianized.
14 *
Mike Frysinger98c52642009-04-02 10:02:37 +000015 * rewrite arith.y to micro stack based cryptic algorithm by
16 * Copyright (c) 2001 Aaron Lehmann <aaronl@vitelus.com>
17 *
18 * Modified by Paul Mundt <lethal@linux-sh.org> (c) 2004 to support
19 * dynamic variables.
20 *
21 * Modified by Vladimir Oleynik <dzo@simtreas.ru> (c) 2001-2005 to be
22 * used in busybox and size optimizations,
23 * rewrote arith (see notes to this), added locale support,
24 * rewrote dynamic variables.
Denys Vlasenko73067272010-01-12 22:11:24 +010025 *
26 * Licensed under the GPL v2 or later, see the file LICENSE in this tarball.
Mike Frysinger98c52642009-04-02 10:02:37 +000027 */
Mike Frysinger98c52642009-04-02 10:02:37 +000028/* Copyright (c) 2001 Aaron Lehmann <aaronl@vitelus.com>
29
30 Permission is hereby granted, free of charge, to any person obtaining
31 a copy of this software and associated documentation files (the
32 "Software"), to deal in the Software without restriction, including
33 without limitation the rights to use, copy, modify, merge, publish,
34 distribute, sublicense, and/or sell copies of the Software, and to
35 permit persons to whom the Software is furnished to do so, subject to
36 the following conditions:
37
38 The above copyright notice and this permission notice shall be
39 included in all copies or substantial portions of the Software.
40
41 THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
42 EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
43 MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
44 IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
45 CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
46 TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
47 SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
48*/
49
50/* This is my infix parser/evaluator. It is optimized for size, intended
51 * as a replacement for yacc-based parsers. However, it may well be faster
52 * than a comparable parser written in yacc. The supported operators are
53 * listed in #defines below. Parens, order of operations, and error handling
54 * are supported. This code is thread safe. The exact expression format should
55 * be that which POSIX specifies for shells. */
56
57/* The code uses a simple two-stack algorithm. See
58 * http://www.onthenet.com.au/~grahamis/int2008/week02/lect02.html
59 * for a detailed explanation of the infix-to-postfix algorithm on which
60 * this is based (this code differs in that it applies operators immediately
61 * to the stack instead of adding them to a queue to end up with an
62 * expression). */
63
64/* To use the routine, call it with an expression string and error return
65 * pointer */
66
67/*
68 * Aug 24, 2001 Manuel Novoa III
69 *
70 * Reduced the generated code size by about 30% (i386) and fixed several bugs.
71 *
72 * 1) In arith_apply():
73 * a) Cached values of *numptr and &(numptr[-1]).
74 * b) Removed redundant test for zero denominator.
75 *
76 * 2) In arith():
77 * a) Eliminated redundant code for processing operator tokens by moving
78 * to a table-based implementation. Also folded handling of parens
79 * into the table.
80 * b) Combined all 3 loops which called arith_apply to reduce generated
81 * code size at the cost of speed.
82 *
83 * 3) The following expressions were treated as valid by the original code:
84 * 1() , 0! , 1 ( *3 ) .
85 * These bugs have been fixed by internally enclosing the expression in
86 * parens and then checking that all binary ops and right parens are
87 * preceded by a valid expression (NUM_TOKEN).
88 *
89 * Note: It may be desirable to replace Aaron's test for whitespace with
90 * ctype's isspace() if it is used by another busybox applet or if additional
91 * whitespace chars should be considered. Look below the "#include"s for a
92 * precompiler test.
93 */
Mike Frysinger98c52642009-04-02 10:02:37 +000094/*
95 * Aug 26, 2001 Manuel Novoa III
96 *
97 * Return 0 for null expressions. Pointed out by Vladimir Oleynik.
98 *
99 * Merge in Aaron's comments previously posted to the busybox list,
100 * modified slightly to take account of my changes to the code.
101 *
102 */
Mike Frysinger98c52642009-04-02 10:02:37 +0000103/*
104 * (C) 2003 Vladimir Oleynik <dzo@simtreas.ru>
105 *
106 * - allow access to variable,
107 * used recursive find value indirection (c=2*2; a="c"; $((a+=2)) produce 6)
108 * - realize assign syntax (VAR=expr, +=, *= etc)
109 * - realize exponentiation (** operator)
110 * - realize comma separated - expr, expr
111 * - realise ++expr --expr expr++ expr--
112 * - realise expr ? expr : expr (but, second expr calculate always)
113 * - allow hexadecimal and octal numbers
114 * - was restored loses XOR operator
115 * - remove one goto label, added three ;-)
116 * - protect $((num num)) as true zero expr (Manuel`s error)
117 * - always use special isspace(), see comment from bash ;-)
118 */
Denys Vlasenko03dad222010-01-12 23:29:57 +0100119#include "libbb.h"
120#include "math.h"
121
122#define a_e_h_t arith_eval_hooks_t
123#define lookupvar (math_hooks->lookupvar)
124#define setvar (math_hooks->setvar )
125#define endofname (math_hooks->endofname)
Mike Frysinger98c52642009-04-02 10:02:37 +0000126
127#define arith_isspace(arithval) \
128 (arithval == ' ' || arithval == '\n' || arithval == '\t')
129
130typedef unsigned char operator;
131
132/* An operator's token id is a bit of a bitfield. The lower 5 bits are the
133 * precedence, and 3 high bits are an ID unique across operators of that
134 * precedence. The ID portion is so that multiple operators can have the
135 * same precedence, ensuring that the leftmost one is evaluated first.
136 * Consider * and /. */
137
138#define tok_decl(prec,id) (((id)<<5)|(prec))
139#define PREC(op) ((op) & 0x1F)
140
141#define TOK_LPAREN tok_decl(0,0)
142
143#define TOK_COMMA tok_decl(1,0)
144
145#define TOK_ASSIGN tok_decl(2,0)
146#define TOK_AND_ASSIGN tok_decl(2,1)
147#define TOK_OR_ASSIGN tok_decl(2,2)
148#define TOK_XOR_ASSIGN tok_decl(2,3)
149#define TOK_PLUS_ASSIGN tok_decl(2,4)
150#define TOK_MINUS_ASSIGN tok_decl(2,5)
151#define TOK_LSHIFT_ASSIGN tok_decl(2,6)
152#define TOK_RSHIFT_ASSIGN tok_decl(2,7)
153
154#define TOK_MUL_ASSIGN tok_decl(3,0)
155#define TOK_DIV_ASSIGN tok_decl(3,1)
156#define TOK_REM_ASSIGN tok_decl(3,2)
157
158/* all assign is right associativity and precedence eq, but (7+3)<<5 > 256 */
159#define convert_prec_is_assing(prec) do { if (prec == 3) prec = 2; } while (0)
160
161/* conditional is right associativity too */
162#define TOK_CONDITIONAL tok_decl(4,0)
163#define TOK_CONDITIONAL_SEP tok_decl(4,1)
164
165#define TOK_OR tok_decl(5,0)
166
167#define TOK_AND tok_decl(6,0)
168
169#define TOK_BOR tok_decl(7,0)
170
171#define TOK_BXOR tok_decl(8,0)
172
173#define TOK_BAND tok_decl(9,0)
174
175#define TOK_EQ tok_decl(10,0)
176#define TOK_NE tok_decl(10,1)
177
178#define TOK_LT tok_decl(11,0)
179#define TOK_GT tok_decl(11,1)
180#define TOK_GE tok_decl(11,2)
181#define TOK_LE tok_decl(11,3)
182
183#define TOK_LSHIFT tok_decl(12,0)
184#define TOK_RSHIFT tok_decl(12,1)
185
186#define TOK_ADD tok_decl(13,0)
187#define TOK_SUB tok_decl(13,1)
188
189#define TOK_MUL tok_decl(14,0)
190#define TOK_DIV tok_decl(14,1)
191#define TOK_REM tok_decl(14,2)
192
193/* exponent is right associativity */
194#define TOK_EXPONENT tok_decl(15,1)
195
196/* For now unary operators. */
197#define UNARYPREC 16
198#define TOK_BNOT tok_decl(UNARYPREC,0)
199#define TOK_NOT tok_decl(UNARYPREC,1)
200
201#define TOK_UMINUS tok_decl(UNARYPREC+1,0)
202#define TOK_UPLUS tok_decl(UNARYPREC+1,1)
203
204#define PREC_PRE (UNARYPREC+2)
205
206#define TOK_PRE_INC tok_decl(PREC_PRE, 0)
207#define TOK_PRE_DEC tok_decl(PREC_PRE, 1)
208
209#define PREC_POST (UNARYPREC+3)
210
211#define TOK_POST_INC tok_decl(PREC_POST, 0)
212#define TOK_POST_DEC tok_decl(PREC_POST, 1)
213
214#define SPEC_PREC (UNARYPREC+4)
215
216#define TOK_NUM tok_decl(SPEC_PREC, 0)
217#define TOK_RPAREN tok_decl(SPEC_PREC, 1)
218
219#define NUMPTR (*numstackptr)
220
221static int
222tok_have_assign(operator op)
223{
224 operator prec = PREC(op);
225
226 convert_prec_is_assing(prec);
227 return (prec == PREC(TOK_ASSIGN) ||
228 prec == PREC_PRE || prec == PREC_POST);
229}
230
231static int
232is_right_associativity(operator prec)
233{
234 return (prec == PREC(TOK_ASSIGN) || prec == PREC(TOK_EXPONENT)
235 || prec == PREC(TOK_CONDITIONAL));
236}
237
238typedef struct {
239 arith_t val;
240 arith_t contidional_second_val;
241 char contidional_second_val_initialized;
242 char *var; /* if NULL then is regular number,
243 else is variable name */
244} v_n_t;
245
246typedef struct chk_var_recursive_looped_t {
247 const char *var;
248 struct chk_var_recursive_looped_t *next;
249} chk_var_recursive_looped_t;
250
251static chk_var_recursive_looped_t *prev_chk_var_recursive;
252
253static int
254arith_lookup_val(v_n_t *t, a_e_h_t *math_hooks)
255{
256 if (t->var) {
Denys Vlasenko76ace252009-10-12 15:25:01 +0200257 const char *p = lookupvar(t->var);
Mike Frysinger98c52642009-04-02 10:02:37 +0000258
259 if (p) {
260 int errcode;
261
262 /* recursive try as expression */
263 chk_var_recursive_looped_t *cur;
264 chk_var_recursive_looped_t cur_save;
265
266 for (cur = prev_chk_var_recursive; cur; cur = cur->next) {
267 if (strcmp(cur->var, t->var) == 0) {
268 /* expression recursion loop detected */
269 return -5;
270 }
271 }
272 /* save current lookuped var name */
273 cur = prev_chk_var_recursive;
274 cur_save.var = t->var;
275 cur_save.next = cur;
276 prev_chk_var_recursive = &cur_save;
277
278 t->val = arith (p, &errcode, math_hooks);
279 /* restore previous ptr after recursiving */
280 prev_chk_var_recursive = cur;
281 return errcode;
282 }
283 /* allow undefined var as 0 */
284 t->val = 0;
285 }
286 return 0;
287}
288
289/* "applying" a token means performing it on the top elements on the integer
290 * stack. For a unary operator it will only change the top element, but a
291 * binary operator will pop two arguments and push a result */
Denys Vlasenkoa7bb3c12009-10-08 12:28:08 +0200292static NOINLINE int
Mike Frysinger98c52642009-04-02 10:02:37 +0000293arith_apply(operator op, v_n_t *numstack, v_n_t **numstackptr, a_e_h_t *math_hooks)
294{
295 v_n_t *numptr_m1;
296 arith_t numptr_val, rez;
297 int ret_arith_lookup_val;
298
299 /* There is no operator that can work without arguments */
300 if (NUMPTR == numstack) goto err;
301 numptr_m1 = NUMPTR - 1;
302
303 /* check operand is var with noninteger value */
304 ret_arith_lookup_val = arith_lookup_val(numptr_m1, math_hooks);
305 if (ret_arith_lookup_val)
306 return ret_arith_lookup_val;
307
308 rez = numptr_m1->val;
309 if (op == TOK_UMINUS)
310 rez *= -1;
311 else if (op == TOK_NOT)
312 rez = !rez;
313 else if (op == TOK_BNOT)
314 rez = ~rez;
315 else if (op == TOK_POST_INC || op == TOK_PRE_INC)
316 rez++;
317 else if (op == TOK_POST_DEC || op == TOK_PRE_DEC)
318 rez--;
319 else if (op != TOK_UPLUS) {
320 /* Binary operators */
321
322 /* check and binary operators need two arguments */
323 if (numptr_m1 == numstack) goto err;
324
325 /* ... and they pop one */
326 --NUMPTR;
327 numptr_val = rez;
328 if (op == TOK_CONDITIONAL) {
329 if (!numptr_m1->contidional_second_val_initialized) {
330 /* protect $((expr1 ? expr2)) without ": expr" */
331 goto err;
332 }
333 rez = numptr_m1->contidional_second_val;
334 } else if (numptr_m1->contidional_second_val_initialized) {
335 /* protect $((expr1 : expr2)) without "expr ? " */
336 goto err;
337 }
338 numptr_m1 = NUMPTR - 1;
339 if (op != TOK_ASSIGN) {
340 /* check operand is var with noninteger value for not '=' */
341 ret_arith_lookup_val = arith_lookup_val(numptr_m1, math_hooks);
342 if (ret_arith_lookup_val)
343 return ret_arith_lookup_val;
344 }
345 if (op == TOK_CONDITIONAL) {
346 numptr_m1->contidional_second_val = rez;
347 }
348 rez = numptr_m1->val;
349 if (op == TOK_BOR || op == TOK_OR_ASSIGN)
350 rez |= numptr_val;
351 else if (op == TOK_OR)
352 rez = numptr_val || rez;
353 else if (op == TOK_BAND || op == TOK_AND_ASSIGN)
354 rez &= numptr_val;
355 else if (op == TOK_BXOR || op == TOK_XOR_ASSIGN)
356 rez ^= numptr_val;
357 else if (op == TOK_AND)
358 rez = rez && numptr_val;
359 else if (op == TOK_EQ)
360 rez = (rez == numptr_val);
361 else if (op == TOK_NE)
362 rez = (rez != numptr_val);
363 else if (op == TOK_GE)
364 rez = (rez >= numptr_val);
365 else if (op == TOK_RSHIFT || op == TOK_RSHIFT_ASSIGN)
366 rez >>= numptr_val;
367 else if (op == TOK_LSHIFT || op == TOK_LSHIFT_ASSIGN)
368 rez <<= numptr_val;
369 else if (op == TOK_GT)
370 rez = (rez > numptr_val);
371 else if (op == TOK_LT)
372 rez = (rez < numptr_val);
373 else if (op == TOK_LE)
374 rez = (rez <= numptr_val);
375 else if (op == TOK_MUL || op == TOK_MUL_ASSIGN)
376 rez *= numptr_val;
377 else if (op == TOK_ADD || op == TOK_PLUS_ASSIGN)
378 rez += numptr_val;
379 else if (op == TOK_SUB || op == TOK_MINUS_ASSIGN)
380 rez -= numptr_val;
381 else if (op == TOK_ASSIGN || op == TOK_COMMA)
382 rez = numptr_val;
383 else if (op == TOK_CONDITIONAL_SEP) {
384 if (numptr_m1 == numstack) {
385 /* protect $((expr : expr)) without "expr ? " */
386 goto err;
387 }
388 numptr_m1->contidional_second_val_initialized = op;
389 numptr_m1->contidional_second_val = numptr_val;
390 } else if (op == TOK_CONDITIONAL) {
391 rez = rez ?
392 numptr_val : numptr_m1->contidional_second_val;
393 } else if (op == TOK_EXPONENT) {
394 if (numptr_val < 0)
395 return -3; /* exponent less than 0 */
396 else {
397 arith_t c = 1;
398
399 if (numptr_val)
400 while (numptr_val--)
401 c *= rez;
402 rez = c;
403 }
404 } else if (numptr_val==0) /* zero divisor check */
405 return -2;
406 else if (op == TOK_DIV || op == TOK_DIV_ASSIGN)
407 rez /= numptr_val;
408 else if (op == TOK_REM || op == TOK_REM_ASSIGN)
409 rez %= numptr_val;
410 }
411 if (tok_have_assign(op)) {
Denis Vlasenkocc8289d2009-04-03 21:13:31 +0000412 char buf[sizeof(arith_t)*3 + 2];
Mike Frysinger98c52642009-04-02 10:02:37 +0000413
414 if (numptr_m1->var == NULL) {
415 /* Hmm, 1=2 ? */
416 goto err;
417 }
418 /* save to shell variable */
Denis Vlasenkocc8289d2009-04-03 21:13:31 +0000419 sprintf(buf, arith_t_fmt, rez);
Denys Vlasenko03dad222010-01-12 23:29:57 +0100420 setvar(numptr_m1->var, buf);
Mike Frysinger98c52642009-04-02 10:02:37 +0000421 /* after saving, make previous value for v++ or v-- */
422 if (op == TOK_POST_INC)
423 rez--;
424 else if (op == TOK_POST_DEC)
425 rez++;
426 }
427 numptr_m1->val = rez;
428 /* protect geting var value, is number now */
429 numptr_m1->var = NULL;
430 return 0;
431 err:
432 return -1;
433}
434
435/* longest must be first */
436static const char op_tokens[] ALIGN1 = {
437 '<','<','=',0, TOK_LSHIFT_ASSIGN,
438 '>','>','=',0, TOK_RSHIFT_ASSIGN,
439 '<','<', 0, TOK_LSHIFT,
440 '>','>', 0, TOK_RSHIFT,
441 '|','|', 0, TOK_OR,
442 '&','&', 0, TOK_AND,
443 '!','=', 0, TOK_NE,
444 '<','=', 0, TOK_LE,
445 '>','=', 0, TOK_GE,
446 '=','=', 0, TOK_EQ,
447 '|','=', 0, TOK_OR_ASSIGN,
448 '&','=', 0, TOK_AND_ASSIGN,
449 '*','=', 0, TOK_MUL_ASSIGN,
450 '/','=', 0, TOK_DIV_ASSIGN,
451 '%','=', 0, TOK_REM_ASSIGN,
452 '+','=', 0, TOK_PLUS_ASSIGN,
453 '-','=', 0, TOK_MINUS_ASSIGN,
454 '-','-', 0, TOK_POST_DEC,
455 '^','=', 0, TOK_XOR_ASSIGN,
456 '+','+', 0, TOK_POST_INC,
457 '*','*', 0, TOK_EXPONENT,
458 '!', 0, TOK_NOT,
459 '<', 0, TOK_LT,
460 '>', 0, TOK_GT,
461 '=', 0, TOK_ASSIGN,
462 '|', 0, TOK_BOR,
463 '&', 0, TOK_BAND,
464 '*', 0, TOK_MUL,
465 '/', 0, TOK_DIV,
466 '%', 0, TOK_REM,
467 '+', 0, TOK_ADD,
468 '-', 0, TOK_SUB,
469 '^', 0, TOK_BXOR,
470 /* uniq */
471 '~', 0, TOK_BNOT,
472 ',', 0, TOK_COMMA,
473 '?', 0, TOK_CONDITIONAL,
474 ':', 0, TOK_CONDITIONAL_SEP,
475 ')', 0, TOK_RPAREN,
476 '(', 0, TOK_LPAREN,
477 0
478};
479/* ptr to ")" */
480#define endexpression (&op_tokens[sizeof(op_tokens)-7])
481
482arith_t
483arith(const char *expr, int *perrcode, a_e_h_t *math_hooks)
484{
485 char arithval; /* Current character under analysis */
486 operator lasttok, op;
487 operator prec;
488 operator *stack, *stackptr;
489 const char *p = endexpression;
490 int errcode;
491 v_n_t *numstack, *numstackptr;
492 unsigned datasizes = strlen(expr) + 2;
493
494 /* Stack of integers */
495 /* The proof that there can be no more than strlen(startbuf)/2+1 integers
496 * in any given correct or incorrect expression is left as an exercise to
497 * the reader. */
498 numstackptr = numstack = alloca((datasizes / 2) * sizeof(numstack[0]));
499 /* Stack of operator tokens */
500 stackptr = stack = alloca(datasizes * sizeof(stack[0]));
501
502 *stackptr++ = lasttok = TOK_LPAREN; /* start off with a left paren */
503 *perrcode = errcode = 0;
504
505 while (1) {
506 arithval = *expr;
507 if (arithval == 0) {
508 if (p == endexpression) {
509 /* Null expression. */
510 return 0;
511 }
512
513 /* This is only reached after all tokens have been extracted from the
514 * input stream. If there are still tokens on the operator stack, they
515 * are to be applied in order. At the end, there should be a final
516 * result on the integer stack */
517
518 if (expr != endexpression + 1) {
519 /* If we haven't done so already, */
520 /* append a closing right paren */
521 expr = endexpression;
522 /* and let the loop process it. */
523 continue;
524 }
525 /* At this point, we're done with the expression. */
526 if (numstackptr != numstack+1) {
527 /* ... but if there isn't, it's bad */
528 err:
529 *perrcode = -1;
530 return *perrcode;
531 }
532 if (numstack->var) {
533 /* expression is $((var)) only, lookup now */
534 errcode = arith_lookup_val(numstack, math_hooks);
535 }
536 ret:
537 *perrcode = errcode;
538 return numstack->val;
539 }
540
541 /* Continue processing the expression. */
542 if (arith_isspace(arithval)) {
543 /* Skip whitespace */
544 goto prologue;
545 }
546 p = endofname(expr);
547 if (p != expr) {
548 size_t var_name_size = (p-expr) + 1; /* trailing zero */
549
550 numstackptr->var = alloca(var_name_size);
551 safe_strncpy(numstackptr->var, expr, var_name_size);
552 expr = p;
553 num:
554 numstackptr->contidional_second_val_initialized = 0;
555 numstackptr++;
556 lasttok = TOK_NUM;
557 continue;
558 }
559 if (isdigit(arithval)) {
560 numstackptr->var = NULL;
Denys Vlasenko71016ba2009-06-05 16:24:29 +0200561 errno = 0;
562 /* call strtoul[l]: */
Mike Frysinger98c52642009-04-02 10:02:37 +0000563 numstackptr->val = strto_arith_t(expr, (char **) &expr, 0);
Denys Vlasenko71016ba2009-06-05 16:24:29 +0200564 if (errno)
565 numstackptr->val = 0; /* bash compat */
Mike Frysinger98c52642009-04-02 10:02:37 +0000566 goto num;
567 }
568 for (p = op_tokens; ; p++) {
569 const char *o;
570
571 if (*p == 0) {
572 /* strange operator not found */
573 goto err;
574 }
575 for (o = expr; *p && *o == *p; p++)
576 o++;
577 if (!*p) {
578 /* found */
579 expr = o - 1;
580 break;
581 }
582 /* skip tail uncompared token */
583 while (*p)
584 p++;
585 /* skip zero delim */
586 p++;
587 }
588 op = p[1];
589
590 /* post grammar: a++ reduce to num */
591 if (lasttok == TOK_POST_INC || lasttok == TOK_POST_DEC)
592 lasttok = TOK_NUM;
593
594 /* Plus and minus are binary (not unary) _only_ if the last
Denys Vlasenko71016ba2009-06-05 16:24:29 +0200595 * token was a number, or a right paren (which pretends to be
Mike Frysinger98c52642009-04-02 10:02:37 +0000596 * a number, since it evaluates to one). Think about it.
597 * It makes sense. */
598 if (lasttok != TOK_NUM) {
599 switch (op) {
600 case TOK_ADD:
601 op = TOK_UPLUS;
602 break;
603 case TOK_SUB:
604 op = TOK_UMINUS;
605 break;
606 case TOK_POST_INC:
607 op = TOK_PRE_INC;
608 break;
609 case TOK_POST_DEC:
610 op = TOK_PRE_DEC;
611 break;
612 }
613 }
Denys Vlasenko71016ba2009-06-05 16:24:29 +0200614 /* We don't want an unary operator to cause recursive descent on the
Mike Frysinger98c52642009-04-02 10:02:37 +0000615 * stack, because there can be many in a row and it could cause an
616 * operator to be evaluated before its argument is pushed onto the
617 * integer stack. */
618 /* But for binary operators, "apply" everything on the operator
619 * stack until we find an operator with a lesser priority than the
620 * one we have just extracted. */
621 /* Left paren is given the lowest priority so it will never be
622 * "applied" in this way.
623 * if associativity is right and priority eq, applied also skip
624 */
625 prec = PREC(op);
626 if ((prec > 0 && prec < UNARYPREC) || prec == SPEC_PREC) {
627 /* not left paren or unary */
628 if (lasttok != TOK_NUM) {
629 /* binary op must be preceded by a num */
630 goto err;
631 }
632 while (stackptr != stack) {
633 if (op == TOK_RPAREN) {
634 /* The algorithm employed here is simple: while we don't
635 * hit an open paren nor the bottom of the stack, pop
636 * tokens and apply them */
637 if (stackptr[-1] == TOK_LPAREN) {
638 --stackptr;
639 /* Any operator directly after a */
640 lasttok = TOK_NUM;
641 /* close paren should consider itself binary */
642 goto prologue;
643 }
644 } else {
645 operator prev_prec = PREC(stackptr[-1]);
646
647 convert_prec_is_assing(prec);
648 convert_prec_is_assing(prev_prec);
649 if (prev_prec < prec)
650 break;
651 /* check right assoc */
652 if (prev_prec == prec && is_right_associativity(prec))
653 break;
654 }
655 errcode = arith_apply(*--stackptr, numstack, &numstackptr, math_hooks);
656 if (errcode) goto ret;
657 }
658 if (op == TOK_RPAREN) {
659 goto err;
660 }
661 }
662
663 /* Push this operator to the stack and remember it. */
664 *stackptr++ = lasttok = op;
665 prologue:
666 ++expr;
667 } /* while */
668}
669
Denis Vlasenkocc8289d2009-04-03 21:13:31 +0000670/*
Mike Frysinger98c52642009-04-02 10:02:37 +0000671 * Copyright (c) 1989, 1991, 1993, 1994
672 * The Regents of the University of California. All rights reserved.
673 *
674 * This code is derived from software contributed to Berkeley by
675 * Kenneth Almquist.
676 *
677 * Redistribution and use in source and binary forms, with or without
678 * modification, are permitted provided that the following conditions
679 * are met:
680 * 1. Redistributions of source code must retain the above copyright
681 * notice, this list of conditions and the following disclaimer.
682 * 2. Redistributions in binary form must reproduce the above copyright
683 * notice, this list of conditions and the following disclaimer in the
684 * documentation and/or other materials provided with the distribution.
685 * 3. Neither the name of the University nor the names of its contributors
686 * may be used to endorse or promote products derived from this software
687 * without specific prior written permission.
688 *
689 * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
690 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
691 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
692 * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
693 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
694 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
695 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
696 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
697 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
698 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
699 * SUCH DAMAGE.
700 */