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262 lines
7.7 KiB
262 lines
7.7 KiB
/* expr.c - evaluate expression
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*
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* Copyright 2016 Google Inc.
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* Copyright 2013 Daniel Verkamp <daniel@drv.nu>
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*
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* http://pubs.opengroup.org/onlinepubs/9699919799/utilities/expr.html
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*
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* The web standard is incomplete (precedence grouping missing), see:
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* http://permalink.gmane.org/gmane.comp.standards.posix.austin.general/10141
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*
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* eval_expr() uses the recursive "Precedence Climbing" algorithm:
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*
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* Clarke, Keith. "The top-down parsing of expressions." University of London.
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* Queen Mary College. Department of Computer Science and Statistics, 1986.
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*
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* http://www.antlr.org/papers/Clarke-expr-parsing-1986.pdf
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*
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* Nice explanation and Python implementation:
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* http://eli.thegreenplace.net/2012/08/02/parsing-expressions-by-precedence-climbing
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USE_EXPR(NEWTOY(expr, NULL, TOYFLAG_USR|TOYFLAG_BIN))
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config EXPR
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bool "expr"
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default n
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help
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usage: expr ARG1 OPERATOR ARG2...
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Evaluate expression and print result. For example, "expr 1 + 2".
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The supported operators are (grouped from highest to lowest priority):
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( ) : * / % + - != <= < >= > = & |
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Each constant and operator must be a separate command line argument.
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All operators are infix, meaning they expect a constant (or expression
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that resolves to a constant) on each side of the operator. Operators of
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the same priority (within each group above) are evaluated left to right.
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Parentheses may be used (as separate arguments) to elevate the priority
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of expressions.
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Calling expr from a command shell requires a lot of \( or '*' escaping
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to avoid interpreting shell control characters.
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The & and | operators are logical (not bitwise) and may operate on
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strings (a blank string is "false"). Comparison operators may also
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operate on strings (alphabetical sort).
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Constants may be strings or integers. Comparison, logical, and regex
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operators may operate on strings (a blank string is "false"), other
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operators require integers.
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*/
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// TODO: int overflow checking
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#define FOR_expr
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#include "toys.h"
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GLOBALS(
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char **tok; // current token, not on the stack since recursive calls mutate it
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char *refree;
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)
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// Scalar value. If s != NULL, it's a string, otherwise it's an int.
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struct value {
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char *s;
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long long i;
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};
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// Get the value as a string.
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char *get_str(struct value *v)
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{
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if (v->s) return v->s;
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else return xmprintf("%lld", v->i);
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}
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// Get the value as an integer and return 1, or return 0 on error.
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int get_int(struct value *v, long long *ret)
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{
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if (v->s) {
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char *endp;
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*ret = strtoll(v->s, &endp, 10);
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if (*endp) return 0; // If endp points to NUL, all chars were converted
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} else *ret = v->i;
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return 1;
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}
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// Preserve the invariant that v.s is NULL when the value is an integer.
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void assign_int(struct value *v, long long i)
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{
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v->i = i;
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v->s = NULL;
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}
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// Check if v is 0 or the empty string.
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static int is_false(struct value *v)
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{
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return get_int(v, &v->i) && !v->i;
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}
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// 'ret' is filled with a string capture or int match position.
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static void re(char *target, char *pattern, struct value *ret)
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{
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regex_t pat;
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regmatch_t m[2];
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xregcomp(&pat, pattern, 0);
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// must match at pos 0
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if (!regexec(&pat, target, 2, m, 0) && !m[0].rm_so) {
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// Return first parenthesized subexpression as string, or length of match
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if (pat.re_nsub>0) {
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ret->s = xmprintf("%.*s", (int)(m[1].rm_eo-m[1].rm_so),
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target+m[1].rm_so);
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if (TT.refree) free(TT.refree);
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TT.refree = ret->s;
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} else assign_int(ret, m[0].rm_eo);
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} else {
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if (pat.re_nsub>0) ret->s = "";
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else assign_int(ret, 0);
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}
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regfree(&pat);
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}
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// 4 different signatures of operators. S = string, I = int, SI = string or
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// int.
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enum { SI_TO_SI = 1, SI_TO_I, I_TO_I, S_TO_SI };
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enum { OR = 1, AND, EQ, NE, GT, GTE, LT, LTE, ADD, SUB, MUL, DIVI, MOD, RE };
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// operators grouped by precedence
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static struct op_def {
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char *tok;
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char prec, sig, op; // precedence, signature for type coercion, operator ID
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} OPS[] = {
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// logical ops, precedence 1 and 2, signature SI_TO_SI
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{"|", 1, SI_TO_SI, OR },
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{"&", 2, SI_TO_SI, AND },
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// comparison ops, precedence 3, signature SI_TO_I
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{"=", 3, SI_TO_I, EQ }, {"==", 3, SI_TO_I, EQ }, {"!=", 3, SI_TO_I, NE },
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{">", 3, SI_TO_I, GT }, {">=", 3, SI_TO_I, GTE },
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{"<", 3, SI_TO_I, LT }, {"<=", 3, SI_TO_I, LTE },
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// arithmetic ops, precedence 4 and 5, signature I_TO_I
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{"+", 4, I_TO_I, ADD }, {"-", 4, I_TO_I, SUB },
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{"*", 5, I_TO_I, MUL }, {"/", 5, I_TO_I, DIVI }, {"%", 5, I_TO_I, MOD },
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// regex match, precedence 6, signature S_TO_SI
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{":", 6, S_TO_SI, RE },
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{NULL, 0, 0, 0}, // sentinel
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};
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void eval_op(struct op_def *o, struct value *ret, struct value *rhs)
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{
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long long a, b, x = 0; // x = a OP b for ints.
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char *s, *t; // string operands
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int cmp;
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switch (o->sig) {
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case SI_TO_SI:
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switch (o->op) {
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case OR: if (is_false(ret)) *ret = *rhs; break;
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case AND: if (is_false(ret) || is_false(rhs)) assign_int(ret, 0); break;
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}
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break;
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case SI_TO_I:
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if (get_int(ret, &a) && get_int(rhs, &b)) { // both are ints
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cmp = a - b;
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} else { // otherwise compare both as strings
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cmp = strcmp(s = get_str(ret), t = get_str(rhs));
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if (ret->s != s) free(s);
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if (rhs->s != t) free(t);
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}
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switch (o->op) {
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case EQ: x = cmp == 0; break;
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case NE: x = cmp != 0; break;
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case GT: x = cmp > 0; break;
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case GTE: x = cmp >= 0; break;
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case LT: x = cmp < 0; break;
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case LTE: x = cmp <= 0; break;
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}
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assign_int(ret, x);
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break;
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case I_TO_I:
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if (!get_int(ret, &a) || !get_int(rhs, &b))
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error_exit("non-integer argument");
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switch (o->op) {
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case ADD: x = a + b; break;
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case SUB: x = a - b; break;
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case MUL: x = a * b; break;
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case DIVI: if (b == 0) error_exit("division by zero"); x = a / b; break;
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case MOD: if (b == 0) error_exit("division by zero"); x = a % b; break;
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}
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assign_int(ret, x);
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break;
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case S_TO_SI: // op == RE
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s = get_str(ret);
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cmp = ret->s!=s; // ret overwritten by re so check now
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re(s, t = get_str(rhs), ret);
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if (cmp) free(s);
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if (rhs->s!=t) free(t);
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break;
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}
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}
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// Evalute a compound expression using recursive "Precedence Climbing"
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// algorithm, setting 'ret'.
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static void eval_expr(struct value *ret, int min_prec)
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{
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if (!*TT.tok) error_exit("Unexpected end of input");
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// Evaluate LHS atom, setting 'ret'.
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if (!strcmp(*TT.tok, "(")) { // parenthesized expression
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TT.tok++; // consume (
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eval_expr(ret, 1); // We're inside ( ), so min_prec = 1
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if (ret->s && !strcmp(ret->s, ")")) error_exit("empty ( )");
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if (!*TT.tok) error_exit("Expected )");
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if (strcmp(*TT.tok, ")")) error_exit("Expected ) but got %s", *TT.tok);
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} else ret->s = *TT.tok; // simple literal, all values start as strings
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TT.tok++;
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// Evaluate RHS and apply operator until precedence is too low.
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struct value rhs;
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while (*TT.tok) {
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struct op_def *o = OPS;
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while (o->tok) { // Look up operator
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if (!strcmp(*TT.tok, o->tok)) break;
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o++;
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}
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if (!o->tok) break; // Not an operator (extra input will fail later)
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if (o->prec < min_prec) break; // Precedence too low, pop a stack frame
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TT.tok++;
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eval_expr(&rhs, o->prec + 1); // Evaluate RHS, with higher min precedence
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eval_op(o, ret, &rhs); // Apply operator, setting 'ret'
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}
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}
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void expr_main(void)
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{
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struct value ret = {0};
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toys.exitval = 2; // if exiting early, indicate error
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TT.tok = toys.optargs; // initialize global token
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eval_expr(&ret, 1);
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if (*TT.tok) error_exit("Unexpected extra input '%s'\n", *TT.tok);
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if (ret.s) printf("%s\n", ret.s);
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else printf("%lld\n", ret.i);
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toys.exitval = is_false(&ret);
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if (TT.refree) free(TT.refree);
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}
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