1 /* Supporting functions for resolving DATA statement.
2 Copyright (C) 2002-2018 Free Software Foundation, Inc.
3 Contributed by Lifang Zeng <zlf605@hotmail.com>
4
5 This file is part of GCC.
6
7 GCC is free software; you can redistribute it and/or modify it under
8 the terms of the GNU General Public License as published by the Free
9 Software Foundation; either version 3, or (at your option) any later
10 version.
11
12 GCC is distributed in the hope that it will be useful, but WITHOUT ANY
13 WARRANTY; without even the implied warranty of MERCHANTABILITY or
14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
15 for more details.
16
17 You should have received a copy of the GNU General Public License
18 along with GCC; see the file COPYING3. If not see
19 <http://www.gnu.org/licenses/>. */
20
21
22 /* Notes for DATA statement implementation:
23
24 We first assign initial value to each symbol by gfc_assign_data_value
25 during resolving DATA statement. Refer to check_data_variable and
26 traverse_data_list in resolve.c.
27
28 The complexity exists in the handling of array section, implied do
29 and array of struct appeared in DATA statement.
30
31 We call gfc_conv_structure, gfc_con_array_array_initializer,
32 etc., to convert the initial value. Refer to trans-expr.c and
33 trans-array.c. */
34
35 #include "config.h"
36 #include "system.h"
37 #include "coretypes.h"
38 #include "gfortran.h"
39 #include "data.h"
40 #include "constructor.h"
41
42 static void formalize_init_expr (gfc_expr *);
43
44 /* Calculate the array element offset. */
45
46 static void
get_array_index(gfc_array_ref * ar,mpz_t * offset)47 get_array_index (gfc_array_ref *ar, mpz_t *offset)
48 {
49 gfc_expr *e;
50 int i;
51 mpz_t delta;
52 mpz_t tmp;
53
54 mpz_init (tmp);
55 mpz_set_si (*offset, 0);
56 mpz_init_set_si (delta, 1);
57 for (i = 0; i < ar->dimen; i++)
58 {
59 e = gfc_copy_expr (ar->start[i]);
60 gfc_simplify_expr (e, 1);
61
62 if ((gfc_is_constant_expr (ar->as->lower[i]) == 0)
63 || (gfc_is_constant_expr (ar->as->upper[i]) == 0)
64 || (gfc_is_constant_expr (e) == 0))
65 gfc_error ("non-constant array in DATA statement %L", &ar->where);
66
67 mpz_set (tmp, e->value.integer);
68 gfc_free_expr (e);
69 mpz_sub (tmp, tmp, ar->as->lower[i]->value.integer);
70 mpz_mul (tmp, tmp, delta);
71 mpz_add (*offset, tmp, *offset);
72
73 mpz_sub (tmp, ar->as->upper[i]->value.integer,
74 ar->as->lower[i]->value.integer);
75 mpz_add_ui (tmp, tmp, 1);
76 mpz_mul (delta, tmp, delta);
77 }
78 mpz_clear (delta);
79 mpz_clear (tmp);
80 }
81
82 /* Find if there is a constructor which component is equal to COM.
83 TODO: remove this, use symbol.c(gfc_find_component) instead. */
84
85 static gfc_constructor *
find_con_by_component(gfc_component * com,gfc_constructor_base base)86 find_con_by_component (gfc_component *com, gfc_constructor_base base)
87 {
88 gfc_constructor *c;
89
90 for (c = gfc_constructor_first (base); c; c = gfc_constructor_next (c))
91 if (com == c->n.component)
92 return c;
93
94 return NULL;
95 }
96
97
98 /* Create a character type initialization expression from RVALUE.
99 TS [and REF] describe [the substring of] the variable being initialized.
100 INIT is the existing initializer, not NULL. Initialization is performed
101 according to normal assignment rules. */
102
103 static gfc_expr *
create_character_initializer(gfc_expr * init,gfc_typespec * ts,gfc_ref * ref,gfc_expr * rvalue)104 create_character_initializer (gfc_expr *init, gfc_typespec *ts,
105 gfc_ref *ref, gfc_expr *rvalue)
106 {
107 HOST_WIDE_INT len, start, end, tlen;
108 gfc_char_t *dest;
109 bool alloced_init = false;
110
111 if (init && init->ts.type != BT_CHARACTER)
112 return NULL;
113
114 gfc_extract_hwi (ts->u.cl->length, &len);
115
116 if (init == NULL)
117 {
118 /* Create a new initializer. */
119 init = gfc_get_character_expr (ts->kind, NULL, NULL, len);
120 init->ts = *ts;
121 alloced_init = true;
122 }
123
124 dest = init->value.character.string;
125
126 if (ref)
127 {
128 gfc_expr *start_expr, *end_expr;
129
130 gcc_assert (ref->type == REF_SUBSTRING);
131
132 /* Only set a substring of the destination. Fortran substring bounds
133 are one-based [start, end], we want zero based [start, end). */
134 start_expr = gfc_copy_expr (ref->u.ss.start);
135 end_expr = gfc_copy_expr (ref->u.ss.end);
136
137 if ((!gfc_simplify_expr(start_expr, 1))
138 || !(gfc_simplify_expr(end_expr, 1)))
139 {
140 gfc_error ("failure to simplify substring reference in DATA "
141 "statement at %L", &ref->u.ss.start->where);
142 gfc_free_expr (start_expr);
143 gfc_free_expr (end_expr);
144 if (alloced_init)
145 gfc_free_expr (init);
146 return NULL;
147 }
148
149 gfc_extract_hwi (start_expr, &start);
150 gfc_free_expr (start_expr);
151 start--;
152 gfc_extract_hwi (end_expr, &end);
153 gfc_free_expr (end_expr);
154 }
155 else
156 {
157 /* Set the whole string. */
158 start = 0;
159 end = len;
160 }
161
162 /* Copy the initial value. */
163 if (rvalue->ts.type == BT_HOLLERITH)
164 len = rvalue->representation.length - rvalue->ts.u.pad;
165 else
166 len = rvalue->value.character.length;
167
168 tlen = end - start;
169 if (len > tlen)
170 {
171 if (tlen < 0)
172 {
173 gfc_warning_now (0, "Unused initialization string at %L because "
174 "variable has zero length", &rvalue->where);
175 len = 0;
176 }
177 else
178 {
179 gfc_warning_now (0, "Initialization string at %L was truncated to "
180 "fit the variable (%ld/%ld)", &rvalue->where,
181 (long) tlen, (long) len);
182 len = tlen;
183 }
184 }
185
186 if (rvalue->ts.type == BT_HOLLERITH)
187 {
188 for (size_t i = 0; i < (size_t) len; i++)
189 dest[start+i] = rvalue->representation.string[i];
190 }
191 else
192 memcpy (&dest[start], rvalue->value.character.string,
193 len * sizeof (gfc_char_t));
194
195 /* Pad with spaces. Substrings will already be blanked. */
196 if (len < tlen && ref == NULL)
197 gfc_wide_memset (&dest[start + len], ' ', end - (start + len));
198
199 if (rvalue->ts.type == BT_HOLLERITH)
200 {
201 init->representation.length = init->value.character.length;
202 init->representation.string
203 = gfc_widechar_to_char (init->value.character.string,
204 init->value.character.length);
205 }
206
207 return init;
208 }
209
210
211 /* Assign the initial value RVALUE to LVALUE's symbol->value. If the
212 LVALUE already has an initialization, we extend this, otherwise we
213 create a new one. If REPEAT is non-NULL, initialize *REPEAT
214 consecutive values in LVALUE the same value in RVALUE. In that case,
215 LVALUE must refer to a full array, not an array section. */
216
217 bool
gfc_assign_data_value(gfc_expr * lvalue,gfc_expr * rvalue,mpz_t index,mpz_t * repeat)218 gfc_assign_data_value (gfc_expr *lvalue, gfc_expr *rvalue, mpz_t index,
219 mpz_t *repeat)
220 {
221 gfc_ref *ref;
222 gfc_expr *init;
223 gfc_expr *expr = NULL;
224 gfc_constructor *con;
225 gfc_constructor *last_con;
226 gfc_symbol *symbol;
227 gfc_typespec *last_ts;
228 mpz_t offset;
229
230 symbol = lvalue->symtree->n.sym;
231 init = symbol->value;
232 last_ts = &symbol->ts;
233 last_con = NULL;
234 mpz_init_set_si (offset, 0);
235
236 /* Find/create the parent expressions for subobject references. */
237 for (ref = lvalue->ref; ref; ref = ref->next)
238 {
239 /* Break out of the loop if we find a substring. */
240 if (ref->type == REF_SUBSTRING)
241 {
242 /* A substring should always be the last subobject reference. */
243 gcc_assert (ref->next == NULL);
244 break;
245 }
246
247 /* Use the existing initializer expression if it exists. Otherwise
248 create a new one. */
249 if (init == NULL)
250 expr = gfc_get_expr ();
251 else
252 expr = init;
253
254 /* Find or create this element. */
255 switch (ref->type)
256 {
257 case REF_ARRAY:
258 if (ref->u.ar.as->rank == 0)
259 {
260 gcc_assert (ref->u.ar.as->corank > 0);
261 if (init == NULL)
262 free (expr);
263 continue;
264 }
265
266 if (init && expr->expr_type != EXPR_ARRAY)
267 {
268 gfc_error ("%qs at %L already is initialized at %L",
269 lvalue->symtree->n.sym->name, &lvalue->where,
270 &init->where);
271 goto abort;
272 }
273
274 if (init == NULL)
275 {
276 /* The element typespec will be the same as the array
277 typespec. */
278 expr->ts = *last_ts;
279 /* Setup the expression to hold the constructor. */
280 expr->expr_type = EXPR_ARRAY;
281 expr->rank = ref->u.ar.as->rank;
282 }
283
284 if (ref->u.ar.type == AR_ELEMENT)
285 get_array_index (&ref->u.ar, &offset);
286 else
287 mpz_set (offset, index);
288
289 /* Check the bounds. */
290 if (mpz_cmp_si (offset, 0) < 0)
291 {
292 gfc_error ("Data element below array lower bound at %L",
293 &lvalue->where);
294 goto abort;
295 }
296 else if (repeat != NULL
297 && ref->u.ar.type != AR_ELEMENT)
298 {
299 mpz_t size, end;
300 gcc_assert (ref->u.ar.type == AR_FULL
301 && ref->next == NULL);
302 mpz_init_set (end, offset);
303 mpz_add (end, end, *repeat);
304 if (spec_size (ref->u.ar.as, &size))
305 {
306 if (mpz_cmp (end, size) > 0)
307 {
308 mpz_clear (size);
309 gfc_error ("Data element above array upper bound at %L",
310 &lvalue->where);
311 goto abort;
312 }
313 mpz_clear (size);
314 }
315
316 con = gfc_constructor_lookup (expr->value.constructor,
317 mpz_get_si (offset));
318 if (!con)
319 {
320 con = gfc_constructor_lookup_next (expr->value.constructor,
321 mpz_get_si (offset));
322 if (con != NULL && mpz_cmp (con->offset, end) >= 0)
323 con = NULL;
324 }
325
326 /* Overwriting an existing initializer is non-standard but
327 usually only provokes a warning from other compilers. */
328 if (con != NULL && con->expr != NULL)
329 {
330 /* Order in which the expressions arrive here depends on
331 whether they are from data statements or F95 style
332 declarations. Therefore, check which is the most
333 recent. */
334 gfc_expr *exprd;
335 exprd = (LOCATION_LINE (con->expr->where.lb->location)
336 > LOCATION_LINE (rvalue->where.lb->location))
337 ? con->expr : rvalue;
338 if (gfc_notify_std (GFC_STD_GNU,
339 "re-initialization of %qs at %L",
340 symbol->name, &exprd->where) == false)
341 return false;
342 }
343
344 while (con != NULL)
345 {
346 gfc_constructor *next_con = gfc_constructor_next (con);
347
348 if (mpz_cmp (con->offset, end) >= 0)
349 break;
350 if (mpz_cmp (con->offset, offset) < 0)
351 {
352 gcc_assert (mpz_cmp_si (con->repeat, 1) > 0);
353 mpz_sub (con->repeat, offset, con->offset);
354 }
355 else if (mpz_cmp_si (con->repeat, 1) > 0
356 && mpz_get_si (con->offset)
357 + mpz_get_si (con->repeat) > mpz_get_si (end))
358 {
359 int endi;
360 splay_tree_node node
361 = splay_tree_lookup (con->base,
362 mpz_get_si (con->offset));
363 gcc_assert (node
364 && con == (gfc_constructor *) node->value
365 && node->key == (splay_tree_key)
366 mpz_get_si (con->offset));
367 endi = mpz_get_si (con->offset)
368 + mpz_get_si (con->repeat);
369 if (endi > mpz_get_si (end) + 1)
370 mpz_set_si (con->repeat, endi - mpz_get_si (end));
371 else
372 mpz_set_si (con->repeat, 1);
373 mpz_set (con->offset, end);
374 node->key = (splay_tree_key) mpz_get_si (end);
375 break;
376 }
377 else
378 gfc_constructor_remove (con);
379 con = next_con;
380 }
381
382 con = gfc_constructor_insert_expr (&expr->value.constructor,
383 NULL, &rvalue->where,
384 mpz_get_si (offset));
385 mpz_set (con->repeat, *repeat);
386 repeat = NULL;
387 mpz_clear (end);
388 break;
389 }
390 else
391 {
392 mpz_t size;
393 if (spec_size (ref->u.ar.as, &size))
394 {
395 if (mpz_cmp (offset, size) >= 0)
396 {
397 mpz_clear (size);
398 gfc_error ("Data element above array upper bound at %L",
399 &lvalue->where);
400 goto abort;
401 }
402 mpz_clear (size);
403 }
404 }
405
406 con = gfc_constructor_lookup (expr->value.constructor,
407 mpz_get_si (offset));
408 if (!con)
409 {
410 con = gfc_constructor_insert_expr (&expr->value.constructor,
411 NULL, &rvalue->where,
412 mpz_get_si (offset));
413 }
414 else if (mpz_cmp_si (con->repeat, 1) > 0)
415 {
416 /* Need to split a range. */
417 if (mpz_cmp (con->offset, offset) < 0)
418 {
419 gfc_constructor *pred_con = con;
420 con = gfc_constructor_insert_expr (&expr->value.constructor,
421 NULL, &con->where,
422 mpz_get_si (offset));
423 con->expr = gfc_copy_expr (pred_con->expr);
424 mpz_add (con->repeat, pred_con->offset, pred_con->repeat);
425 mpz_sub (con->repeat, con->repeat, offset);
426 mpz_sub (pred_con->repeat, offset, pred_con->offset);
427 }
428 if (mpz_cmp_si (con->repeat, 1) > 0)
429 {
430 gfc_constructor *succ_con;
431 succ_con
432 = gfc_constructor_insert_expr (&expr->value.constructor,
433 NULL, &con->where,
434 mpz_get_si (offset) + 1);
435 succ_con->expr = gfc_copy_expr (con->expr);
436 mpz_sub_ui (succ_con->repeat, con->repeat, 1);
437 mpz_set_si (con->repeat, 1);
438 }
439 }
440 break;
441
442 case REF_COMPONENT:
443 if (init == NULL)
444 {
445 /* Setup the expression to hold the constructor. */
446 expr->expr_type = EXPR_STRUCTURE;
447 expr->ts.type = BT_DERIVED;
448 expr->ts.u.derived = ref->u.c.sym;
449 }
450 else
451 gcc_assert (expr->expr_type == EXPR_STRUCTURE);
452 last_ts = &ref->u.c.component->ts;
453
454 /* Find the same element in the existing constructor. */
455 con = find_con_by_component (ref->u.c.component,
456 expr->value.constructor);
457
458 if (con == NULL)
459 {
460 /* Create a new constructor. */
461 con = gfc_constructor_append_expr (&expr->value.constructor,
462 NULL, NULL);
463 con->n.component = ref->u.c.component;
464 }
465 break;
466
467 default:
468 gcc_unreachable ();
469 }
470
471 if (init == NULL)
472 {
473 /* Point the container at the new expression. */
474 if (last_con == NULL)
475 symbol->value = expr;
476 else
477 last_con->expr = expr;
478 }
479 init = con->expr;
480 last_con = con;
481 }
482
483 mpz_clear (offset);
484 gcc_assert (repeat == NULL);
485
486 /* Overwriting an existing initializer is non-standard but usually only
487 provokes a warning from other compilers. */
488 if (init != NULL && init->where.lb && rvalue->where.lb)
489 {
490 /* Order in which the expressions arrive here depends on whether
491 they are from data statements or F95 style declarations.
492 Therefore, check which is the most recent. */
493 expr = (LOCATION_LINE (init->where.lb->location)
494 > LOCATION_LINE (rvalue->where.lb->location))
495 ? init : rvalue;
496 if (gfc_notify_std (GFC_STD_GNU, "re-initialization of %qs at %L",
497 symbol->name, &expr->where) == false)
498 return false;
499 }
500
501 if (ref || last_ts->type == BT_CHARACTER)
502 {
503 /* An initializer has to be constant. */
504 if (rvalue->expr_type != EXPR_CONSTANT
505 || (lvalue->ts.u.cl->length == NULL
506 && !(ref && ref->u.ss.length != NULL)))
507 return false;
508 expr = create_character_initializer (init, last_ts, ref, rvalue);
509 }
510 else
511 {
512 if (lvalue->ts.type == BT_DERIVED
513 && gfc_has_default_initializer (lvalue->ts.u.derived))
514 {
515 gfc_error ("Nonpointer object %qs with default initialization "
516 "shall not appear in a DATA statement at %L",
517 symbol->name, &lvalue->where);
518 return false;
519 }
520
521 expr = gfc_copy_expr (rvalue);
522 if (!gfc_compare_types (&lvalue->ts, &expr->ts))
523 gfc_convert_type (expr, &lvalue->ts, 0);
524 }
525
526 if (last_con == NULL)
527 symbol->value = expr;
528 else
529 last_con->expr = expr;
530
531 return true;
532
533 abort:
534 if (!init)
535 gfc_free_expr (expr);
536 mpz_clear (offset);
537 return false;
538 }
539
540
541 /* Modify the index of array section and re-calculate the array offset. */
542
543 void
gfc_advance_section(mpz_t * section_index,gfc_array_ref * ar,mpz_t * offset_ret)544 gfc_advance_section (mpz_t *section_index, gfc_array_ref *ar,
545 mpz_t *offset_ret)
546 {
547 int i;
548 mpz_t delta;
549 mpz_t tmp;
550 bool forwards;
551 int cmp;
552 gfc_expr *start, *end, *stride;
553
554 for (i = 0; i < ar->dimen; i++)
555 {
556 if (ar->dimen_type[i] != DIMEN_RANGE)
557 continue;
558
559 if (ar->stride[i])
560 {
561 stride = gfc_copy_expr(ar->stride[i]);
562 if(!gfc_simplify_expr(stride, 1))
563 gfc_internal_error("Simplification error");
564 mpz_add (section_index[i], section_index[i],
565 stride->value.integer);
566 if (mpz_cmp_si (stride->value.integer, 0) >= 0)
567 forwards = true;
568 else
569 forwards = false;
570 gfc_free_expr(stride);
571 }
572 else
573 {
574 mpz_add_ui (section_index[i], section_index[i], 1);
575 forwards = true;
576 }
577
578 if (ar->end[i])
579 {
580 end = gfc_copy_expr(ar->end[i]);
581 if(!gfc_simplify_expr(end, 1))
582 gfc_internal_error("Simplification error");
583 cmp = mpz_cmp (section_index[i], end->value.integer);
584 gfc_free_expr(end);
585 }
586 else
587 cmp = mpz_cmp (section_index[i], ar->as->upper[i]->value.integer);
588
589 if ((cmp > 0 && forwards) || (cmp < 0 && !forwards))
590 {
591 /* Reset index to start, then loop to advance the next index. */
592 if (ar->start[i])
593 {
594 start = gfc_copy_expr(ar->start[i]);
595 if(!gfc_simplify_expr(start, 1))
596 gfc_internal_error("Simplification error");
597 mpz_set (section_index[i], start->value.integer);
598 gfc_free_expr(start);
599 }
600 else
601 mpz_set (section_index[i], ar->as->lower[i]->value.integer);
602 }
603 else
604 break;
605 }
606
607 mpz_set_si (*offset_ret, 0);
608 mpz_init_set_si (delta, 1);
609 mpz_init (tmp);
610 for (i = 0; i < ar->dimen; i++)
611 {
612 mpz_sub (tmp, section_index[i], ar->as->lower[i]->value.integer);
613 mpz_mul (tmp, tmp, delta);
614 mpz_add (*offset_ret, tmp, *offset_ret);
615
616 mpz_sub (tmp, ar->as->upper[i]->value.integer,
617 ar->as->lower[i]->value.integer);
618 mpz_add_ui (tmp, tmp, 1);
619 mpz_mul (delta, tmp, delta);
620 }
621 mpz_clear (tmp);
622 mpz_clear (delta);
623 }
624
625
626 /* Rearrange a structure constructor so the elements are in the specified
627 order. Also insert NULL entries if necessary. */
628
629 static void
formalize_structure_cons(gfc_expr * expr)630 formalize_structure_cons (gfc_expr *expr)
631 {
632 gfc_constructor_base base = NULL;
633 gfc_constructor *cur;
634 gfc_component *order;
635
636 /* Constructor is already formalized. */
637 cur = gfc_constructor_first (expr->value.constructor);
638 if (!cur || cur->n.component == NULL)
639 return;
640
641 for (order = expr->ts.u.derived->components; order; order = order->next)
642 {
643 cur = find_con_by_component (order, expr->value.constructor);
644 if (cur)
645 gfc_constructor_append_expr (&base, cur->expr, &cur->expr->where);
646 else
647 gfc_constructor_append_expr (&base, NULL, NULL);
648 }
649
650 /* For all what it's worth, one would expect
651 gfc_constructor_free (expr->value.constructor);
652 here. However, if the constructor is actually free'd,
653 hell breaks loose in the testsuite?! */
654
655 expr->value.constructor = base;
656 }
657
658
659 /* Make sure an initialization expression is in normalized form, i.e., all
660 elements of the constructors are in the correct order. */
661
662 static void
formalize_init_expr(gfc_expr * expr)663 formalize_init_expr (gfc_expr *expr)
664 {
665 expr_t type;
666 gfc_constructor *c;
667
668 if (expr == NULL)
669 return;
670
671 type = expr->expr_type;
672 switch (type)
673 {
674 case EXPR_ARRAY:
675 for (c = gfc_constructor_first (expr->value.constructor);
676 c; c = gfc_constructor_next (c))
677 formalize_init_expr (c->expr);
678
679 break;
680
681 case EXPR_STRUCTURE:
682 formalize_structure_cons (expr);
683 break;
684
685 default:
686 break;
687 }
688 }
689
690
691 /* Resolve symbol's initial value after all data statement. */
692
693 void
gfc_formalize_init_value(gfc_symbol * sym)694 gfc_formalize_init_value (gfc_symbol *sym)
695 {
696 formalize_init_expr (sym->value);
697 }
698
699
700 /* Get the integer value into RET_AS and SECTION from AS and AR, and return
701 offset. */
702
703 void
gfc_get_section_index(gfc_array_ref * ar,mpz_t * section_index,mpz_t * offset)704 gfc_get_section_index (gfc_array_ref *ar, mpz_t *section_index, mpz_t *offset)
705 {
706 int i;
707 mpz_t delta;
708 mpz_t tmp;
709 gfc_expr *start;
710
711 mpz_set_si (*offset, 0);
712 mpz_init (tmp);
713 mpz_init_set_si (delta, 1);
714 for (i = 0; i < ar->dimen; i++)
715 {
716 mpz_init (section_index[i]);
717 switch (ar->dimen_type[i])
718 {
719 case DIMEN_ELEMENT:
720 case DIMEN_RANGE:
721 if (ar->start[i])
722 {
723 start = gfc_copy_expr(ar->start[i]);
724 if(!gfc_simplify_expr(start, 1))
725 gfc_internal_error("Simplification error");
726 mpz_sub (tmp, start->value.integer,
727 ar->as->lower[i]->value.integer);
728 mpz_mul (tmp, tmp, delta);
729 mpz_add (*offset, tmp, *offset);
730 mpz_set (section_index[i], start->value.integer);
731 gfc_free_expr(start);
732 }
733 else
734 mpz_set (section_index[i], ar->as->lower[i]->value.integer);
735 break;
736
737 case DIMEN_VECTOR:
738 gfc_internal_error ("TODO: Vector sections in data statements");
739
740 default:
741 gcc_unreachable ();
742 }
743
744 mpz_sub (tmp, ar->as->upper[i]->value.integer,
745 ar->as->lower[i]->value.integer);
746 mpz_add_ui (tmp, tmp, 1);
747 mpz_mul (delta, tmp, delta);
748 }
749
750 mpz_clear (tmp);
751 mpz_clear (delta);
752 }
753
754