xref: /netbsd-src/external/lgpl3/gmp/dist/demos/expr/expr.c (revision ce54336801cf28877c3414aa2fcb251dddd543a2)
1 /* mpexpr_evaluate -- shared code for simple expression evaluation
2 
3 Copyright 2000-2002, 2004 Free Software Foundation, Inc.
4 
5 This file is part of the GNU MP Library.
6 
7 The GNU MP Library is free software; you can redistribute it and/or modify
8 it under the terms of either:
9 
10   * the GNU Lesser General Public License as published by the Free
11     Software Foundation; either version 3 of the License, or (at your
12     option) any later version.
13 
14 or
15 
16   * the GNU General Public License as published by the Free Software
17     Foundation; either version 2 of the License, or (at your option) any
18     later version.
19 
20 or both in parallel, as here.
21 
22 The GNU MP Library is distributed in the hope that it will be useful, but
23 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
24 or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
25 for more details.
26 
27 You should have received copies of the GNU General Public License and the
28 GNU Lesser General Public License along with the GNU MP Library.  If not,
29 see https://www.gnu.org/licenses/.  */
30 
31 #include <ctype.h>
32 #include <stdio.h>
33 #include <string.h>
34 
35 #include "gmp.h"
36 #include "expr-impl.h"
37 
38 
39 /* Change this to "#define TRACE(x) x" to get some traces.  The trace
40    printfs junk up the code a bit, but it's very hard to tell what's going
41    on without them.  Set MPX_TRACE to a suitable output function for the
42    mpz/mpq/mpf being run (if you have the wrong trace function it'll
43    probably segv).  */
44 
45 #define TRACE(x)
46 #define MPX_TRACE  mpz_trace
47 
48 
49 /* A few helper macros copied from gmp-impl.h */
50 #define ALLOCATE_FUNC_TYPE(n,type) \
51   ((type *) (*allocate_func) ((n) * sizeof (type)))
52 #define ALLOCATE_FUNC_LIMBS(n)   ALLOCATE_FUNC_TYPE (n, mp_limb_t)
53 #define REALLOCATE_FUNC_TYPE(p, old_size, new_size, type) \
54   ((type *) (*reallocate_func)                            \
55    (p, (old_size) * sizeof (type), (new_size) * sizeof (type)))
56 #define REALLOCATE_FUNC_LIMBS(p, old_size, new_size) \
57   REALLOCATE_FUNC_TYPE(p, old_size, new_size, mp_limb_t)
58 #define FREE_FUNC_TYPE(p,n,type) (*free_func) (p, (n) * sizeof (type))
59 #define FREE_FUNC_LIMBS(p,n)     FREE_FUNC_TYPE (p, n, mp_limb_t)
60 #define ASSERT(x)
61 
62 
63 
64 /* All the error strings are just for diagnostic traces.  Only the error
65    code is actually returned.  */
66 #define ERROR(str,code)                 \
67   {                                     \
68     TRACE (printf ("%s\n", str));       \
69     p->error_code = (code);             \
70     goto done;                          \
71   }
72 
73 
74 #define REALLOC(ptr, alloc, incr, type)                         \
75   do {                                                          \
76     int  new_alloc = (alloc) + (incr);                          \
77     ptr = REALLOCATE_FUNC_TYPE (ptr, alloc, new_alloc, type);   \
78     (alloc) = new_alloc;                                        \
79   } while (0)
80 
81 
82 /* data stack top element */
83 #define SP   (p->data_stack + p->data_top)
84 
85 /* Make sure there's room for another data element above current top.
86    reallocate_func is fetched for when this macro is used in lookahead(). */
87 #define DATA_SPACE()                                                    \
88   do {                                                                  \
89     if (p->data_top + 1 >= p->data_alloc)                               \
90       {                                                                 \
91 	void *(*reallocate_func) (void *, size_t, size_t);              \
92 	mp_get_memory_functions (NULL, &reallocate_func, NULL);         \
93 	TRACE (printf ("grow stack from %d\n", p->data_alloc));         \
94 	REALLOC (p->data_stack, p->data_alloc, 20, union mpX_t);        \
95       }                                                                 \
96     ASSERT (p->data_top + 1 <= p->data_inited);                         \
97     if (p->data_top + 1 == p->data_inited)                              \
98       {                                                                 \
99 	TRACE (printf ("initialize %d\n", p->data_top + 1));            \
100 	(*p->mpX_init) (&p->data_stack[p->data_top + 1], p->prec);      \
101 	p->data_inited++;                                               \
102       }                                                                 \
103   } while (0)
104 
105 #define DATA_PUSH()                             \
106   do {                                          \
107     p->data_top++;                              \
108     ASSERT (p->data_top < p->data_alloc);       \
109     ASSERT (p->data_top < p->data_inited);      \
110   } while (0)
111 
112 /* the last stack entry is never popped, so top>=0 will be true */
113 #define DATA_POP(n)             \
114   do {                          \
115     p->data_top -= (n);         \
116     ASSERT (p->data_top >= 0);  \
117   } while (0)
118 
119 
120 /* lookahead() parses the next token.  Return 1 if successful, with some
121    extra data.  Return 0 if fail, with reason in p->error_code.
122 
123    "prefix" is MPEXPR_TYPE_PREFIX if an operator with that attribute is
124    preferred, or 0 if an operator without is preferred. */
125 
126 #define TOKEN_EOF         -1   /* no extra data */
127 #define TOKEN_VALUE       -2   /* pushed onto data stack */
128 #define TOKEN_OPERATOR    -3   /* stored in p->token_op */
129 #define TOKEN_FUNCTION    -4   /* stored in p->token_op */
130 
131 #define TOKEN_NAME(n)                           \
132   ((n) == TOKEN_EOF ? "TOKEN_EOF"               \
133    : (n) == TOKEN_VALUE ? "TOKEN_VALUE"         \
134    : (n) == TOKEN_OPERATOR ? "TOKEN_OPERATOR"   \
135    : (n) == TOKEN_VALUE ? "TOKEN_FUNCTION"      \
136    : "UNKNOWN TOKEN")
137 
138 /* Functions default to being parsed as whole words, operators to match just
139    at the start of the string.  The type flags override this. */
140 #define WHOLEWORD(op)                           \
141   (op->precedence == 0                          \
142    ? (! (op->type & MPEXPR_TYPE_OPERATOR))      \
143    :   (op->type & MPEXPR_TYPE_WHOLEWORD))
144 
145 #define isasciispace(c)   (isascii (c) && isspace (c))
146 
147 static int
lookahead(struct mpexpr_parse_t * p,int prefix)148 lookahead (struct mpexpr_parse_t *p, int prefix)
149 {
150   const struct mpexpr_operator_t  *op, *op_found;
151   size_t  oplen, oplen_found, wlen;
152   int     i;
153 
154   /* skip white space */
155   while (p->elen > 0 && isasciispace (*p->e))
156     p->e++, p->elen--;
157 
158   if (p->elen == 0)
159     {
160       TRACE (printf ("lookahead EOF\n"));
161       p->token = TOKEN_EOF;
162       return 1;
163     }
164 
165   DATA_SPACE ();
166 
167   /* Get extent of whole word. */
168   for (wlen = 0; wlen < p->elen; wlen++)
169     if (! isasciicsym (p->e[wlen]))
170       break;
171 
172   TRACE (printf ("lookahead at: \"%.*s\" length %u, word %u\n",
173 		 (int) p->elen, p->e, p->elen, wlen));
174 
175   op_found = NULL;
176   oplen_found = 0;
177   for (op = p->table; op->name != NULL; op++)
178     {
179       if (op->type == MPEXPR_TYPE_NEW_TABLE)
180 	{
181 	  printf ("new\n");
182 	  op = (struct mpexpr_operator_t *) op->name - 1;
183 	  continue;
184 	}
185 
186       oplen = strlen (op->name);
187       if (! ((WHOLEWORD (op) ? wlen == oplen : p->elen >= oplen)
188 	     && memcmp (p->e, op->name, oplen) == 0))
189 	continue;
190 
191       /* Shorter matches don't replace longer previous ones. */
192       if (op_found && oplen < oplen_found)
193 	continue;
194 
195       /* On a match of equal length to a previous one, the old match isn't
196 	 replaced if it has the preferred prefix, and if it doesn't then
197 	 it's not replaced if the new one also doesn't.  */
198       if (op_found && oplen == oplen_found
199 	  && ((op_found->type & MPEXPR_TYPE_PREFIX) == prefix
200 	      || (op->type & MPEXPR_TYPE_PREFIX) != prefix))
201 	continue;
202 
203       /* This is now either the first match seen, or a longer than previous
204 	 match, or an equal to previous one but with a preferred prefix. */
205       op_found = op;
206       oplen_found = oplen;
207     }
208 
209   if (op_found)
210     {
211       p->e += oplen_found, p->elen -= oplen_found;
212 
213       if (op_found->type == MPEXPR_TYPE_VARIABLE)
214 	{
215 	  if (p->elen == 0)
216 	    ERROR ("end of string expecting a variable",
217 		   MPEXPR_RESULT_PARSE_ERROR);
218 	  i = p->e[0] - 'a';
219 	  if (i < 0 || i >= MPEXPR_VARIABLES)
220 	    ERROR ("bad variable name", MPEXPR_RESULT_BAD_VARIABLE);
221 	  goto variable;
222 	}
223 
224       if (op_found->precedence == 0)
225 	{
226 	  TRACE (printf ("lookahead function: %s\n", op_found->name));
227 	  p->token = TOKEN_FUNCTION;
228 	  p->token_op = op_found;
229 	  return 1;
230 	}
231       else
232 	{
233 	  TRACE (printf ("lookahead operator: %s\n", op_found->name));
234 	  p->token = TOKEN_OPERATOR;
235 	  p->token_op = op_found;
236 	  return 1;
237 	}
238     }
239 
240   oplen = (*p->mpX_number) (SP+1, p->e, p->elen, p->base);
241   if (oplen != 0)
242     {
243       p->e += oplen, p->elen -= oplen;
244       p->token = TOKEN_VALUE;
245       DATA_PUSH ();
246       TRACE (MPX_TRACE ("lookahead number", SP));
247       return 1;
248     }
249 
250   /* Maybe an unprefixed one character variable */
251   i = p->e[0] - 'a';
252   if (wlen == 1 && i >= 0 && i < MPEXPR_VARIABLES)
253     {
254     variable:
255       p->e++, p->elen--;
256       if (p->var[i] == NULL)
257 	ERROR ("NULL variable", MPEXPR_RESULT_BAD_VARIABLE);
258       TRACE (printf ("lookahead variable: var[%d] = ", i);
259 	     MPX_TRACE ("", p->var[i]));
260       p->token = TOKEN_VALUE;
261       DATA_PUSH ();
262       (*p->mpX_set) (SP, p->var[i]);
263       return 1;
264     }
265 
266   ERROR ("no token matched", MPEXPR_RESULT_PARSE_ERROR);
267 
268  done:
269   return 0;
270 }
271 
272 
273 /* control stack current top element */
274 #define CP   (p->control_stack + p->control_top)
275 
276 /* make sure there's room for another control element above current top */
277 #define CONTROL_SPACE()                                                    \
278   do {                                                                     \
279     if (p->control_top + 1 >= p->control_alloc)                            \
280       {                                                                    \
281 	TRACE (printf ("grow control stack from %d\n", p->control_alloc)); \
282 	REALLOC (p->control_stack, p->control_alloc, 20,                   \
283 		 struct mpexpr_control_t);                                 \
284       }                                                                    \
285   } while (0)
286 
287 /* Push an operator on the control stack, claiming currently to have the
288    given number of args ready.  Local variable "op" is used in case opptr is
289    a reference through CP.  */
290 #define CONTROL_PUSH(opptr,args)                        \
291   do {                                                  \
292     const struct mpexpr_operator_t *op = opptr;		\
293     struct mpexpr_control_t *cp;                        \
294     CONTROL_SPACE ();                                   \
295     p->control_top++;                                   \
296     ASSERT (p->control_top < p->control_alloc);         \
297     cp = CP;                                            \
298     cp->op = op;                                        \
299     cp->argcount = (args);                              \
300     TRACE_CONTROL("control stack push:");               \
301   } while (0)
302 
303 /* The special operator_done is never popped, so top>=0 will hold. */
304 #define CONTROL_POP()                           \
305   do {                                          \
306     p->control_top--;                           \
307     ASSERT (p->control_top >= 0);               \
308     TRACE_CONTROL ("control stack pop:");       \
309   } while (0)
310 
311 #define TRACE_CONTROL(str)                              \
312   TRACE ({                                              \
313     int  i;                                             \
314     printf ("%s depth %d:", str, p->control_top);       \
315     for (i = 0; i <= p->control_top; i++)               \
316       printf (" \"%s\"(%d)",                            \
317 	      p->control_stack[i].op->name,             \
318 	      p->control_stack[i].argcount);            \
319     printf ("\n");                                      \
320   });
321 
322 
323 #define LOOKAHEAD(prefix)               \
324   do {                                  \
325     if (! lookahead (p, prefix))        \
326       goto done;                        \
327   } while (0)
328 
329 #define CHECK_UI(n)                                                     \
330   do {                                                                  \
331     if (! (*p->mpX_ulong_p) (n))                                        \
332       ERROR ("operand doesn't fit ulong", MPEXPR_RESULT_NOT_UI);        \
333   } while (0)
334 
335 #define CHECK_ARGCOUNT(str,n)                                              \
336   do {                                                                     \
337     if (CP->argcount != (n))                                               \
338       {                                                                    \
339 	TRACE (printf ("wrong number of arguments for %s, got %d want %d", \
340 		       str, CP->argcount, n));                             \
341 	ERROR ("", MPEXPR_RESULT_PARSE_ERROR);                             \
342       }                                                                    \
343   } while (0)
344 
345 
346 /* There's two basic states here.  In both p->token is the next token.
347 
348    "another_expr" is when a whole expression should be parsed.  This means a
349    literal or variable value possibly followed by an operator, or a function
350    or prefix operator followed by a further whole expression.
351 
352    "another_operator" is when an expression has been parsed and its value is
353    on the top of the data stack (SP) and an optional further postfix or
354    infix operator should be parsed.
355 
356    In "another_operator" precedences determine whether to push the operator
357    onto the control stack, or instead go to "apply_control" to reduce the
358    operator currently on top of the control stack.
359 
360    When an operator has both a prefix and postfix/infix form, a LOOKAHEAD()
361    for "another_expr" will seek the prefix form, a LOOKAHEAD() for
362    "another_operator" will seek the postfix/infix form.  The grammar is
363    simple enough that the next state is known before reading the next token.
364 
365    Argument count checking guards against functions consuming the wrong
366    number of operands from the data stack.  The same checks are applied to
367    operators, but will always pass since a UNARY or BINARY will only ever
368    parse with the correct operands.  */
369 
370 int
mpexpr_evaluate(struct mpexpr_parse_t * p)371 mpexpr_evaluate (struct mpexpr_parse_t *p)
372 {
373   void *(*allocate_func) (size_t);
374   void *(*reallocate_func) (void *, size_t, size_t);
375   void (*free_func) (void *, size_t);
376 
377   mp_get_memory_functions (&allocate_func, &reallocate_func, &free_func);
378 
379   TRACE (printf ("mpexpr_evaluate() base %d \"%.*s\"\n",
380 		 p->base, (int) p->elen, p->e));
381 
382   /* "done" is a special sentinel at the bottom of the control stack,
383      precedence -1 is lower than any normal operator.  */
384   {
385     static const struct mpexpr_operator_t  operator_done
386       = { "DONE", NULL, MPEXPR_TYPE_DONE, -1 };
387 
388     p->control_alloc = 20;
389     p->control_stack = ALLOCATE_FUNC_TYPE (p->control_alloc,
390 					   struct mpexpr_control_t);
391     p->control_top = 0;
392     CP->op = &operator_done;
393     CP->argcount = 1;
394   }
395 
396   p->data_inited = 0;
397   p->data_alloc = 20;
398   p->data_stack = ALLOCATE_FUNC_TYPE (p->data_alloc, union mpX_t);
399   p->data_top = -1;
400 
401   p->error_code = MPEXPR_RESULT_OK;
402 
403 
404  another_expr_lookahead:
405   LOOKAHEAD (MPEXPR_TYPE_PREFIX);
406   TRACE (printf ("another expr\n"));
407 
408   /*another_expr:*/
409   switch (p->token) {
410   case TOKEN_VALUE:
411     goto another_operator_lookahead;
412 
413   case TOKEN_OPERATOR:
414     TRACE (printf ("operator %s\n", p->token_op->name));
415     if (! (p->token_op->type & MPEXPR_TYPE_PREFIX))
416       ERROR ("expected a prefix operator", MPEXPR_RESULT_PARSE_ERROR);
417 
418     CONTROL_PUSH (p->token_op, 1);
419     goto another_expr_lookahead;
420 
421   case TOKEN_FUNCTION:
422     CONTROL_PUSH (p->token_op, 1);
423 
424     if (p->token_op->type & MPEXPR_TYPE_CONSTANT)
425       goto apply_control_lookahead;
426 
427     LOOKAHEAD (MPEXPR_TYPE_PREFIX);
428     if (! (p->token == TOKEN_OPERATOR
429 	   && p->token_op->type == MPEXPR_TYPE_OPENPAREN))
430       ERROR ("expected open paren for function", MPEXPR_RESULT_PARSE_ERROR);
431 
432     TRACE (printf ("open paren for function \"%s\"\n", CP->op->name));
433 
434     if ((CP->op->type & MPEXPR_TYPE_MASK_ARGCOUNT) == MPEXPR_TYPE_NARY(0))
435       {
436 	LOOKAHEAD (0);
437 	if (! (p->token == TOKEN_OPERATOR
438 	       && p->token_op->type == MPEXPR_TYPE_CLOSEPAREN))
439 	  ERROR ("expected close paren for 0ary function",
440 		 MPEXPR_RESULT_PARSE_ERROR);
441 	goto apply_control_lookahead;
442       }
443 
444     goto another_expr_lookahead;
445   }
446   ERROR ("unrecognised start of expression", MPEXPR_RESULT_PARSE_ERROR);
447 
448 
449  another_operator_lookahead:
450   LOOKAHEAD (0);
451  another_operator:
452   TRACE (printf ("another operator maybe: %s\n", TOKEN_NAME(p->token)));
453 
454   switch (p->token) {
455   case TOKEN_EOF:
456     goto apply_control;
457 
458   case TOKEN_OPERATOR:
459     /* The next operator is compared to the one on top of the control stack.
460        If the next is lower precedence, or the same precedence and not
461        right-associative, then reduce using the control stack and look at
462        the next operator again later.  */
463 
464 #define PRECEDENCE_TEST_REDUCE(tprec,cprec,ttype,ctype)                 \
465     ((tprec) < (cprec)                                                  \
466      || ((tprec) == (cprec) && ! ((ttype) & MPEXPR_TYPE_RIGHTASSOC)))
467 
468     if (PRECEDENCE_TEST_REDUCE (p->token_op->precedence, CP->op->precedence,
469 				p->token_op->type,       CP->op->type))
470       {
471 	TRACE (printf ("defer operator: %s (prec %d vs %d, type 0x%X)\n",
472 		       p->token_op->name,
473 		       p->token_op->precedence, CP->op->precedence,
474 		       p->token_op->type));
475 	goto apply_control;
476       }
477 
478     /* An argsep is a binary operator, but is never pushed on the control
479        stack, it just accumulates an extra argument for a function. */
480     if (p->token_op->type == MPEXPR_TYPE_ARGSEP)
481       {
482 	if (CP->op->precedence != 0)
483 	  ERROR ("ARGSEP not in a function call", MPEXPR_RESULT_PARSE_ERROR);
484 
485 	TRACE (printf ("argsep for function \"%s\"(%d)\n",
486 		       CP->op->name, CP->argcount));
487 
488 #define IS_PAIRWISE(type)                                               \
489 	(((type) & (MPEXPR_TYPE_MASK_ARGCOUNT | MPEXPR_TYPE_PAIRWISE))  \
490 	 == (MPEXPR_TYPE_BINARY | MPEXPR_TYPE_PAIRWISE))
491 
492 	if (IS_PAIRWISE (CP->op->type) && CP->argcount >= 2)
493 	  {
494 	    TRACE (printf ("    will reduce pairwise now\n"));
495 	    CP->argcount--;
496 	    CONTROL_PUSH (CP->op, 2);
497 	    goto apply_control;
498 	  }
499 
500 	CP->argcount++;
501 	goto another_expr_lookahead;
502       }
503 
504     switch (p->token_op->type & MPEXPR_TYPE_MASK_ARGCOUNT) {
505     case MPEXPR_TYPE_NARY(1):
506       /* Postfix unary operators can always be applied immediately.  The
507 	 easiest way to do this is just push it on the control stack and go
508 	 to the normal control stack reduction code. */
509 
510       TRACE (printf ("postfix unary operator: %s\n", p->token_op->name));
511       if (p->token_op->type & MPEXPR_TYPE_PREFIX)
512 	ERROR ("prefix unary operator used postfix",
513 	       MPEXPR_RESULT_PARSE_ERROR);
514       CONTROL_PUSH (p->token_op, 1);
515       goto apply_control_lookahead;
516 
517     case MPEXPR_TYPE_NARY(2):
518       CONTROL_PUSH (p->token_op, 2);
519       goto another_expr_lookahead;
520 
521     case MPEXPR_TYPE_NARY(3):
522       CONTROL_PUSH (p->token_op, 1);
523       goto another_expr_lookahead;
524     }
525 
526     TRACE (printf ("unrecognised operator \"%s\" type: 0x%X",
527 		   CP->op->name, CP->op->type));
528     ERROR ("", MPEXPR_RESULT_PARSE_ERROR);
529     break;
530 
531   default:
532     TRACE (printf ("expecting an operator, got token %d", p->token));
533     ERROR ("", MPEXPR_RESULT_PARSE_ERROR);
534   }
535 
536 
537  apply_control_lookahead:
538   LOOKAHEAD (0);
539  apply_control:
540   /* Apply the top element CP of the control stack.  Data values are SP,
541      SP-1, etc.  Result is left as stack top SP after popping consumed
542      values.
543 
544      The use of sp as a duplicate of SP will help compilers that can't
545      otherwise recognise the various uses of SP as common subexpressions.  */
546 
547   TRACE (printf ("apply control: nested %d, \"%s\" 0x%X, %d args\n",
548 		 p->control_top, CP->op->name, CP->op->type, CP->argcount));
549 
550   TRACE (printf ("apply 0x%X-ary\n",
551 		 CP->op->type & MPEXPR_TYPE_MASK_ARGCOUNT));
552   switch (CP->op->type & MPEXPR_TYPE_MASK_ARGCOUNT) {
553   case MPEXPR_TYPE_NARY(0):
554     {
555       mpX_ptr  sp;
556       DATA_SPACE ();
557       DATA_PUSH ();
558       sp = SP;
559       switch (CP->op->type & MPEXPR_TYPE_MASK_ARGSTYLE) {
560       case 0:
561 	(* (mpexpr_fun_0ary_t) CP->op->fun) (sp);
562 	break;
563       case MPEXPR_TYPE_RESULT_INT:
564 	(*p->mpX_set_si) (sp, (long) (* (mpexpr_fun_i_0ary_t) CP->op->fun) ());
565 	break;
566       default:
567 	ERROR ("unrecognised 0ary argument calling style",
568 	       MPEXPR_RESULT_BAD_TABLE);
569       }
570     }
571     break;
572 
573   case MPEXPR_TYPE_NARY(1):
574     {
575       mpX_ptr  sp = SP;
576       CHECK_ARGCOUNT ("unary", 1);
577       TRACE (MPX_TRACE ("before", sp));
578 
579       switch (CP->op->type & MPEXPR_TYPE_MASK_SPECIAL) {
580       case 0:
581 	/* not a special */
582 	break;
583 
584       case MPEXPR_TYPE_DONE & MPEXPR_TYPE_MASK_SPECIAL:
585 	TRACE (printf ("special done\n"));
586 	goto done;
587 
588       case MPEXPR_TYPE_LOGICAL_NOT & MPEXPR_TYPE_MASK_SPECIAL:
589 	TRACE (printf ("special logical not\n"));
590 	(*p->mpX_set_si)
591 	  (sp, (long) ((* (mpexpr_fun_i_unary_t) CP->op->fun) (sp) == 0));
592 	goto apply_control_done;
593 
594       case MPEXPR_TYPE_CLOSEPAREN & MPEXPR_TYPE_MASK_SPECIAL:
595 	CONTROL_POP ();
596 	if (CP->op->type == MPEXPR_TYPE_OPENPAREN)
597 	  {
598 	    TRACE (printf ("close paren matching open paren\n"));
599 	    CONTROL_POP ();
600 	    goto another_operator;
601 	  }
602 	if (CP->op->precedence == 0)
603 	  {
604 	    TRACE (printf ("close paren for function\n"));
605 	    goto apply_control;
606 	  }
607 	ERROR ("unexpected close paren", MPEXPR_RESULT_PARSE_ERROR);
608 
609       default:
610 	TRACE (printf ("unrecognised special unary operator 0x%X",
611 		       CP->op->type & MPEXPR_TYPE_MASK_SPECIAL));
612 	ERROR ("", MPEXPR_RESULT_BAD_TABLE);
613       }
614 
615       switch (CP->op->type & MPEXPR_TYPE_MASK_ARGSTYLE) {
616       case 0:
617 	(* (mpexpr_fun_unary_t) CP->op->fun) (sp, sp);
618 	break;
619       case MPEXPR_TYPE_LAST_UI:
620 	CHECK_UI (sp);
621 	(* (mpexpr_fun_unary_ui_t) CP->op->fun)
622 	  (sp, (*p->mpX_get_ui) (sp));
623 	break;
624       case MPEXPR_TYPE_RESULT_INT:
625 	(*p->mpX_set_si)
626 	  (sp, (long) (* (mpexpr_fun_i_unary_t) CP->op->fun) (sp));
627 	break;
628       case MPEXPR_TYPE_RESULT_INT | MPEXPR_TYPE_LAST_UI:
629 	CHECK_UI (sp);
630 	(*p->mpX_set_si)
631 	  (sp,
632 	   (long) (* (mpexpr_fun_i_unary_ui_t) CP->op->fun)
633 	   ((*p->mpX_get_ui) (sp)));
634 	break;
635       default:
636 	ERROR ("unrecognised unary argument calling style",
637 	       MPEXPR_RESULT_BAD_TABLE);
638       }
639     }
640     break;
641 
642   case MPEXPR_TYPE_NARY(2):
643     {
644       mpX_ptr  sp;
645 
646       /* pairwise functions are allowed to have just one argument */
647       if ((CP->op->type & MPEXPR_TYPE_PAIRWISE)
648 	  && CP->op->precedence == 0
649 	  && CP->argcount == 1)
650 	goto apply_control_done;
651 
652       CHECK_ARGCOUNT ("binary", 2);
653       DATA_POP (1);
654       sp = SP;
655       TRACE (MPX_TRACE ("lhs", sp);
656 	     MPX_TRACE ("rhs", sp+1));
657 
658       if (CP->op->type & MPEXPR_TYPE_MASK_CMP)
659 	{
660 	  int  type = CP->op->type;
661 	  int  cmp = (* (mpexpr_fun_i_binary_t) CP->op->fun)
662 	    (sp, sp+1);
663 	  (*p->mpX_set_si)
664 	    (sp,
665 	     (long)
666 	     ((  (cmp  < 0) & ((type & MPEXPR_TYPE_MASK_CMP_LT) != 0))
667 	      | ((cmp == 0) & ((type & MPEXPR_TYPE_MASK_CMP_EQ) != 0))
668 	      | ((cmp  > 0) & ((type & MPEXPR_TYPE_MASK_CMP_GT) != 0))));
669 	  goto apply_control_done;
670 	}
671 
672       switch (CP->op->type & MPEXPR_TYPE_MASK_SPECIAL) {
673       case 0:
674 	/* not a special */
675 	break;
676 
677       case MPEXPR_TYPE_QUESTION & MPEXPR_TYPE_MASK_SPECIAL:
678 	ERROR ("'?' without ':'", MPEXPR_RESULT_PARSE_ERROR);
679 
680       case MPEXPR_TYPE_COLON & MPEXPR_TYPE_MASK_SPECIAL:
681 	TRACE (printf ("special colon\n"));
682 	CONTROL_POP ();
683 	if (CP->op->type != MPEXPR_TYPE_QUESTION)
684 	  ERROR ("':' without '?'", MPEXPR_RESULT_PARSE_ERROR);
685 
686 	CP->argcount--;
687 	DATA_POP (1);
688 	sp--;
689 	TRACE (MPX_TRACE ("query", sp);
690 	       MPX_TRACE ("true",  sp+1);
691 	       MPX_TRACE ("false", sp+2));
692 	(*p->mpX_set)
693 	  (sp, (* (mpexpr_fun_i_unary_t) CP->op->fun) (sp)
694 	   ? sp+1 : sp+2);
695 	goto apply_control_done;
696 
697       case MPEXPR_TYPE_LOGICAL_AND & MPEXPR_TYPE_MASK_SPECIAL:
698 	TRACE (printf ("special logical and\n"));
699 	(*p->mpX_set_si)
700 	  (sp,
701 	   (long)
702 	   ((* (mpexpr_fun_i_unary_t) CP->op->fun) (sp)
703 	    && (* (mpexpr_fun_i_unary_t) CP->op->fun) (sp+1)));
704 	goto apply_control_done;
705 
706       case MPEXPR_TYPE_LOGICAL_OR & MPEXPR_TYPE_MASK_SPECIAL:
707 	TRACE (printf ("special logical and\n"));
708 	(*p->mpX_set_si)
709 	  (sp,
710 	   (long)
711 	   ((* (mpexpr_fun_i_unary_t) CP->op->fun) (sp)
712 	    || (* (mpexpr_fun_i_unary_t) CP->op->fun) (sp+1)));
713 	goto apply_control_done;
714 
715       case MPEXPR_TYPE_MAX & MPEXPR_TYPE_MASK_SPECIAL:
716 	TRACE (printf ("special max\n"));
717 	if ((* (mpexpr_fun_i_binary_t) CP->op->fun) (sp, sp+1) < 0)
718 	  (*p->mpX_swap) (sp, sp+1);
719 	goto apply_control_done;
720       case MPEXPR_TYPE_MIN & MPEXPR_TYPE_MASK_SPECIAL:
721 	TRACE (printf ("special min\n"));
722 	if ((* (mpexpr_fun_i_binary_t) CP->op->fun) (sp, sp+1) > 0)
723 	  (*p->mpX_swap) (sp, sp+1);
724 	goto apply_control_done;
725 
726       default:
727 	ERROR ("unrecognised special binary operator",
728 	       MPEXPR_RESULT_BAD_TABLE);
729       }
730 
731       switch (CP->op->type & MPEXPR_TYPE_MASK_ARGSTYLE) {
732       case 0:
733 	(* (mpexpr_fun_binary_t) CP->op->fun) (sp, sp, sp+1);
734 	break;
735       case MPEXPR_TYPE_LAST_UI:
736 	CHECK_UI (sp+1);
737 	(* (mpexpr_fun_binary_ui_t) CP->op->fun)
738 	  (sp, sp, (*p->mpX_get_ui) (sp+1));
739 	break;
740       case MPEXPR_TYPE_RESULT_INT:
741 	(*p->mpX_set_si)
742 	  (sp,
743 	   (long) (* (mpexpr_fun_i_binary_t) CP->op->fun) (sp, sp+1));
744 	break;
745       case MPEXPR_TYPE_LAST_UI | MPEXPR_TYPE_RESULT_INT:
746 	CHECK_UI (sp+1);
747 	(*p->mpX_set_si)
748 	  (sp,
749 	   (long) (* (mpexpr_fun_i_binary_ui_t) CP->op->fun)
750 	   (sp, (*p->mpX_get_ui) (sp+1)));
751 	break;
752       default:
753 	ERROR ("unrecognised binary argument calling style",
754 	       MPEXPR_RESULT_BAD_TABLE);
755       }
756     }
757     break;
758 
759   case MPEXPR_TYPE_NARY(3):
760     {
761       mpX_ptr  sp;
762 
763       CHECK_ARGCOUNT ("ternary", 3);
764       DATA_POP (2);
765       sp = SP;
766       TRACE (MPX_TRACE ("arg1", sp);
767 	     MPX_TRACE ("arg2", sp+1);
768 	     MPX_TRACE ("arg3", sp+1));
769 
770       switch (CP->op->type & MPEXPR_TYPE_MASK_ARGSTYLE) {
771       case 0:
772 	(* (mpexpr_fun_ternary_t) CP->op->fun) (sp, sp, sp+1, sp+2);
773 	break;
774       case MPEXPR_TYPE_LAST_UI:
775 	CHECK_UI (sp+2);
776 	(* (mpexpr_fun_ternary_ui_t) CP->op->fun)
777 	  (sp, sp, sp+1, (*p->mpX_get_ui) (sp+2));
778 	break;
779       case MPEXPR_TYPE_RESULT_INT:
780 	(*p->mpX_set_si)
781 	  (sp,
782 	   (long) (* (mpexpr_fun_i_ternary_t) CP->op->fun)
783 	   (sp, sp+1, sp+2));
784 	break;
785       case MPEXPR_TYPE_LAST_UI | MPEXPR_TYPE_RESULT_INT:
786 	CHECK_UI (sp+2);
787 	(*p->mpX_set_si)
788 	  (sp,
789 	   (long) (* (mpexpr_fun_i_ternary_ui_t) CP->op->fun)
790 	   (sp, sp+1, (*p->mpX_get_ui) (sp+2)));
791 	break;
792       default:
793 	ERROR ("unrecognised binary argument calling style",
794 	       MPEXPR_RESULT_BAD_TABLE);
795       }
796     }
797     break;
798 
799   default:
800     TRACE (printf ("unrecognised operator type: 0x%X\n", CP->op->type));
801     ERROR ("", MPEXPR_RESULT_PARSE_ERROR);
802   }
803 
804  apply_control_done:
805   TRACE (MPX_TRACE ("result", SP));
806   CONTROL_POP ();
807   goto another_operator;
808 
809  done:
810   if (p->error_code == MPEXPR_RESULT_OK)
811     {
812       if (p->data_top != 0)
813 	{
814 	  TRACE (printf ("data stack want top at 0, got %d\n", p->data_top));
815 	  p->error_code = MPEXPR_RESULT_PARSE_ERROR;
816 	}
817       else
818 	(*p->mpX_set_or_swap) (p->res, SP);
819     }
820 
821   {
822     int  i;
823     for (i = 0; i < p->data_inited; i++)
824       {
825 	TRACE (printf ("clear %d\n", i));
826 	(*p->mpX_clear) (p->data_stack+i);
827       }
828   }
829 
830   FREE_FUNC_TYPE (p->data_stack, p->data_alloc, union mpX_t);
831   FREE_FUNC_TYPE (p->control_stack, p->control_alloc, struct mpexpr_control_t);
832 
833   return p->error_code;
834 }
835