1/*
2 * arithmetic code ripped out of ash shell for code sharing
3 *
4 * 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 *
9 * 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 *
15 * 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.
25 *
26 * Licensed under the GPL v2 or later, see the file LICENSE in this tarball.
27 */
28/* 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 */
94/*
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 */
103/*
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 */
119#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)
126
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) {
257		const char *p = lookupvar(t->var);
258
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 */
292static NOINLINE int
293arith_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)) {
412		char buf[sizeof(arith_t)*3 + 2];
413
414		if (numptr_m1->var == NULL) {
415			/* Hmm, 1=2 ? */
416			goto err;
417		}
418		/* save to shell variable */
419		sprintf(buf, arith_t_fmt, rez);
420		setvar(numptr_m1->var, buf);
421		/* 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;
561			errno = 0;
562			/* call strtoul[l]: */
563			numstackptr->val = strto_arith_t(expr, (char **) &expr, 0);
564			if (errno)
565				numstackptr->val = 0; /* bash compat */
566			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
595		 * token was a number, or a right paren (which pretends to be
596		 * 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		}
614		/* We don't want an unary operator to cause recursive descent on the
615		 * 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
670/*
671 * 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 */
701