1 /* ET-trees data structure implementation.
2 Contributed by Pavel Nejedly
3 Copyright (C) 2002-2021 Free Software Foundation, Inc.
5 This file is part of the libiberty library.
6 Libiberty is free software; you can redistribute it and/or
7 modify it under the terms of the GNU Library General Public
8 License as published by the Free Software Foundation; either
9 version 3 of the License, or (at your option) any later version.
11 Libiberty is distributed in the hope that it will be useful,
12 but WITHOUT ANY WARRANTY; without even the implied warranty of
13 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
14 Library General Public License for more details.
16 You should have received a copy of the GNU Library General Public
17 License along with libiberty; see the file COPYING3. If not see
18 <http://www.gnu.org/licenses/>.
20 The ET-forest structure is described in:
21 D. D. Sleator and R. E. Tarjan. A data structure for dynamic trees.
22 J. G'omput. System Sci., 26(3):362 381, 1983.
27 #include "coretypes.h"
28 #include "alloc-pool.h"
29 #include "et-forest.h"
32 /* We do not enable this with CHECKING_P, since it is awfully slow. */
37 #include "hard-reg-set.h"
40 /* The occurrence of a node in the et tree. */
43 struct et_node
*of
; /* The node. */
45 struct et_occ
*parent
; /* Parent in the splay-tree. */
46 struct et_occ
*prev
; /* Left son in the splay-tree. */
47 struct et_occ
*next
; /* Right son in the splay-tree. */
49 int depth
; /* The depth of the node is the sum of depth
50 fields on the path to the root. */
51 int min
; /* The minimum value of the depth in the subtree
52 is obtained by adding sum of depth fields
53 on the path to the root. */
54 struct et_occ
*min_occ
; /* The occurrence in the subtree with the minimal
58 static object_allocator
<et_node
> et_nodes ("et_nodes pool");
59 static object_allocator
<et_occ
> et_occurrences ("et_occ pool");
61 /* Changes depth of OCC to D. */
64 set_depth (struct et_occ
*occ
, int d
)
69 occ
->min
+= d
- occ
->depth
;
73 /* Adds D to the depth of OCC. */
76 set_depth_add (struct et_occ
*occ
, int d
)
85 /* Sets prev field of OCC to P. */
88 set_prev (struct et_occ
*occ
, struct et_occ
*t
)
91 gcc_assert (occ
!= t
);
99 /* Sets next field of OCC to P. */
102 set_next (struct et_occ
*occ
, struct et_occ
*t
)
105 gcc_assert (occ
!= t
);
113 /* Recompute minimum for occurrence OCC. */
116 et_recomp_min (struct et_occ
*occ
)
118 struct et_occ
*mson
= occ
->prev
;
122 && mson
->min
> occ
->next
->min
))
125 if (mson
&& mson
->min
< 0)
127 occ
->min
= mson
->min
+ occ
->depth
;
128 occ
->min_occ
= mson
->min_occ
;
132 occ
->min
= occ
->depth
;
138 /* Checks whether neighborhood of OCC seems sane. */
141 et_check_occ_sanity (struct et_occ
*occ
)
146 gcc_assert (occ
->parent
!= occ
);
147 gcc_assert (occ
->prev
!= occ
);
148 gcc_assert (occ
->next
!= occ
);
149 gcc_assert (!occ
->next
|| occ
->next
!= occ
->prev
);
153 gcc_assert (occ
->next
!= occ
->parent
);
154 gcc_assert (occ
->next
->parent
== occ
);
159 gcc_assert (occ
->prev
!= occ
->parent
);
160 gcc_assert (occ
->prev
->parent
== occ
);
163 gcc_assert (!occ
->parent
164 || occ
->parent
->prev
== occ
165 || occ
->parent
->next
== occ
);
168 /* Checks whether tree rooted at OCC is sane. */
171 et_check_sanity (struct et_occ
*occ
)
173 et_check_occ_sanity (occ
);
175 et_check_sanity (occ
->prev
);
177 et_check_sanity (occ
->next
);
180 /* Checks whether tree containing OCC is sane. */
183 et_check_tree_sanity (struct et_occ
*occ
)
188 et_check_sanity (occ
);
191 /* For recording the paths. */
193 /* An ad-hoc constant; if the function has more blocks, this won't work,
194 but since it is used for debugging only, it does not matter. */
195 #define MAX_NODES 100000
198 static void *datas
[MAX_NODES
];
199 static int depths
[MAX_NODES
];
201 /* Records the path represented by OCC, with depth incremented by DEPTH. */
204 record_path_before_1 (struct et_occ
*occ
, int depth
)
213 m
= record_path_before_1 (occ
->prev
, depth
);
218 fprintf (stderr
, "%d (%d); ", ((basic_block
) occ
->of
->data
)->index
, depth
);
220 gcc_assert (len
< MAX_NODES
);
223 datas
[len
] = occ
->of
;
228 m
= record_path_before_1 (occ
->next
, depth
);
233 gcc_assert (mn
== occ
->min
+ depth
- occ
->depth
);
238 /* Records the path represented by a tree containing OCC. */
241 record_path_before (struct et_occ
*occ
)
247 record_path_before_1 (occ
, 0);
248 fprintf (stderr
, "\n");
251 /* Checks whether the path represented by OCC, with depth incremented by DEPTH,
252 was not changed since the last recording. */
255 check_path_after_1 (struct et_occ
*occ
, int depth
)
264 m
= check_path_after_1 (occ
->next
, depth
);
270 gcc_assert (depths
[len
] == depth
&& datas
[len
] == occ
->of
);
274 m
= check_path_after_1 (occ
->prev
, depth
);
279 gcc_assert (mn
== occ
->min
+ depth
- occ
->depth
);
284 /* Checks whether the path represented by a tree containing OCC was
285 not changed since the last recording. */
288 check_path_after (struct et_occ
*occ
)
293 check_path_after_1 (occ
, 0);
299 /* Splay the occurrence OCC to the root of the tree. */
302 et_splay (struct et_occ
*occ
)
304 struct et_occ
*f
, *gf
, *ggf
;
305 int occ_depth
, f_depth
, gf_depth
;
308 record_path_before (occ
);
309 et_check_tree_sanity (occ
);
314 occ_depth
= occ
->depth
;
323 set_depth_add (occ
, f_depth
);
324 occ
->min_occ
= f
->min_occ
;
330 set_prev (f
, occ
->next
);
332 set_depth_add (f
->prev
, occ_depth
);
337 set_next (f
, occ
->prev
);
339 set_depth_add (f
->next
, occ_depth
);
341 set_depth (f
, -occ_depth
);
346 et_check_tree_sanity (occ
);
347 check_path_after (occ
);
352 gf_depth
= gf
->depth
;
354 set_depth_add (occ
, f_depth
+ gf_depth
);
355 occ
->min_occ
= gf
->min_occ
;
365 set_prev (gf
, f
->next
);
366 set_prev (f
, occ
->next
);
370 set_depth (f
, -occ_depth
);
371 set_depth_add (f
->prev
, occ_depth
);
372 set_depth (gf
, -f_depth
);
373 set_depth_add (gf
->prev
, f_depth
);
378 set_prev (gf
, occ
->next
);
379 set_next (f
, occ
->prev
);
383 set_depth (f
, -occ_depth
);
384 set_depth_add (f
->next
, occ_depth
);
385 set_depth (gf
, -occ_depth
- f_depth
);
386 set_depth_add (gf
->prev
, occ_depth
+ f_depth
);
394 set_next (gf
, occ
->prev
);
395 set_prev (f
, occ
->next
);
399 set_depth (f
, -occ_depth
);
400 set_depth_add (f
->prev
, occ_depth
);
401 set_depth (gf
, -occ_depth
- f_depth
);
402 set_depth_add (gf
->next
, occ_depth
+ f_depth
);
407 set_next (gf
, f
->prev
);
408 set_next (f
, occ
->prev
);
412 set_depth (f
, -occ_depth
);
413 set_depth_add (f
->next
, occ_depth
);
414 set_depth (gf
, -f_depth
);
415 set_depth_add (gf
->next
, f_depth
);
431 et_check_tree_sanity (occ
);
436 et_check_sanity (occ
);
437 check_path_after (occ
);
441 /* Create a new et tree occurrence of NODE. */
443 static struct et_occ
*
444 et_new_occ (struct et_node
*node
)
446 et_occ
*nw
= et_occurrences
.allocate ();
460 /* Create a new et tree containing DATA. */
463 et_new_tree (void *data
)
465 et_node
*nw
= et_nodes
.allocate ();
473 nw
->rightmost_occ
= et_new_occ (nw
);
474 nw
->parent_occ
= NULL
;
479 /* Releases et tree T. */
482 et_free_tree (struct et_node
*t
)
490 et_occurrences
.remove (t
->rightmost_occ
);
494 /* Releases et tree T without maintaining other nodes. */
497 et_free_tree_force (struct et_node
*t
)
499 et_occurrences
.remove (t
->rightmost_occ
);
501 et_occurrences
.remove (t
->parent_occ
);
505 /* Release the alloc pools, if they are empty. */
510 et_occurrences
.release_if_empty ();
511 et_nodes
.release_if_empty ();
514 /* Sets father of et tree T to FATHER. */
517 et_set_father (struct et_node
*t
, struct et_node
*father
)
519 struct et_node
*left
, *right
;
520 struct et_occ
*rmost
, *left_part
, *new_f_occ
, *p
;
522 /* Update the path represented in the splay tree. */
523 new_f_occ
= et_new_occ (father
);
525 rmost
= father
->rightmost_occ
;
528 left_part
= rmost
->prev
;
530 p
= t
->rightmost_occ
;
533 set_prev (new_f_occ
, left_part
);
534 set_next (new_f_occ
, p
);
538 et_recomp_min (new_f_occ
);
540 set_prev (rmost
, new_f_occ
);
542 if (new_f_occ
->min
+ rmost
->depth
< rmost
->min
)
544 rmost
->min
= new_f_occ
->min
+ rmost
->depth
;
545 rmost
->min_occ
= new_f_occ
->min_occ
;
548 t
->parent_occ
= new_f_occ
;
550 /* Update the tree. */
566 et_check_tree_sanity (rmost
);
567 record_path_before (rmost
);
571 /* Splits the edge from T to its father. */
574 et_split (struct et_node
*t
)
576 struct et_node
*father
= t
->father
;
577 struct et_occ
*r
, *l
, *rmost
, *p_occ
;
579 /* Update the path represented by the splay tree. */
580 rmost
= t
->rightmost_occ
;
583 for (r
= rmost
->next
; r
->prev
; r
= r
->prev
)
587 r
->prev
->parent
= NULL
;
588 p_occ
= t
->parent_occ
;
590 t
->parent_occ
= NULL
;
593 p_occ
->next
->parent
= NULL
;
603 et_occurrences
.remove (p_occ
);
605 /* Update the tree. */
606 if (father
->son
== t
)
607 father
->son
= t
->right
;
608 if (father
->son
== t
)
612 t
->left
->right
= t
->right
;
613 t
->right
->left
= t
->left
;
615 t
->left
= t
->right
= NULL
;
619 et_check_tree_sanity (rmost
);
620 record_path_before (rmost
);
622 et_check_tree_sanity (r
);
623 record_path_before (r
);
627 /* Finds the nearest common ancestor of the nodes N1 and N2. */
630 et_nca (struct et_node
*n1
, struct et_node
*n2
)
632 struct et_occ
*o1
= n1
->rightmost_occ
, *o2
= n2
->rightmost_occ
, *om
;
633 struct et_occ
*l
, *r
, *ret
;
648 if (l
== o2
|| (l
&& l
->parent
!= NULL
))
656 else if (r
== o2
|| (r
&& r
->parent
!= NULL
))
666 /* O1 and O2 are in different components of the forest. */
682 mn
= o2
->depth
+ o1
->depth
;
686 et_check_tree_sanity (o2
);
689 if (ret
&& ret
->min
+ o1
->depth
+ o2
->depth
< mn
)
690 return ret
->min_occ
->of
;
695 /* Checks whether the node UP is an ancestor of the node DOWN. */
698 et_below (struct et_node
*down
, struct et_node
*up
)
700 struct et_occ
*u
= up
->rightmost_occ
, *d
= down
->rightmost_occ
;
701 struct et_occ
*l
, *r
;
720 if (l
== d
|| l
->parent
!= NULL
)
726 et_check_tree_sanity (u
);
733 /* In case O1 and O2 are in two different trees, we must just restore the
735 if (r
&& r
->parent
!= NULL
)
741 et_check_tree_sanity (u
);
749 return !d
->next
|| d
->next
->min
+ d
->depth
>= 0;
752 /* Returns the root of the tree that contains NODE. */
755 et_root (struct et_node
*node
)
757 struct et_occ
*occ
= node
->rightmost_occ
, *r
;
759 /* The root of the tree corresponds to the rightmost occurrence in the
762 for (r
= occ
; r
->next
; r
= r
->next
)
773 /* Selftests for et-forest.c. */
775 /* Perform sanity checks for a tree consisting of a single node. */
780 void *test_data
= (void *)0xcafebabe;
782 et_node
*n
= et_new_tree (test_data
);
783 ASSERT_EQ (n
->data
, test_data
);
784 ASSERT_EQ (n
, et_root (n
));
788 /* Test of this tree:
799 et_node
*a
= et_new_tree (NULL
);
800 et_node
*b
= et_new_tree (NULL
);
801 et_node
*c
= et_new_tree (NULL
);
802 et_node
*d
= et_new_tree (NULL
);
803 et_node
*e
= et_new_tree (NULL
);
804 et_node
*f
= et_new_tree (NULL
);
806 et_set_father (b
, a
);
807 et_set_father (c
, a
);
808 et_set_father (d
, b
);
809 et_set_father (e
, b
);
810 et_set_father (f
, c
);
812 ASSERT_TRUE (et_below (a
, a
));
813 ASSERT_TRUE (et_below (b
, a
));
814 ASSERT_TRUE (et_below (c
, a
));
815 ASSERT_TRUE (et_below (d
, a
));
816 ASSERT_TRUE (et_below (e
, a
));
817 ASSERT_TRUE (et_below (f
, a
));
819 ASSERT_FALSE (et_below (a
, b
));
820 ASSERT_TRUE (et_below (b
, b
));
821 ASSERT_FALSE (et_below (c
, b
));
822 ASSERT_TRUE (et_below (d
, b
));
823 ASSERT_TRUE (et_below (e
, b
));
824 ASSERT_FALSE (et_below (f
, b
));
826 ASSERT_FALSE (et_below (a
, c
));
827 ASSERT_FALSE (et_below (b
, c
));
828 ASSERT_TRUE (et_below (c
, c
));
829 ASSERT_FALSE (et_below (d
, c
));
830 ASSERT_FALSE (et_below (e
, c
));
831 ASSERT_TRUE (et_below (f
, c
));
833 ASSERT_FALSE (et_below (a
, d
));
834 ASSERT_FALSE (et_below (b
, d
));
835 ASSERT_FALSE (et_below (c
, d
));
836 ASSERT_TRUE (et_below (d
, d
));
837 ASSERT_FALSE (et_below (e
, d
));
838 ASSERT_FALSE (et_below (f
, d
));
840 ASSERT_FALSE (et_below (a
, e
));
841 ASSERT_FALSE (et_below (b
, e
));
842 ASSERT_FALSE (et_below (c
, e
));
843 ASSERT_FALSE (et_below (d
, e
));
844 ASSERT_TRUE (et_below (e
, e
));
845 ASSERT_FALSE (et_below (f
, e
));
847 ASSERT_FALSE (et_below (a
, f
));
848 ASSERT_FALSE (et_below (b
, f
));
849 ASSERT_FALSE (et_below (c
, f
));
850 ASSERT_FALSE (et_below (d
, f
));
851 ASSERT_FALSE (et_below (e
, f
));
852 ASSERT_TRUE (et_below (f
, f
));
854 et_free_tree_force (a
);
857 /* Verify that two disconnected nodes are unrelated. */
860 test_disconnected_nodes ()
862 et_node
*a
= et_new_tree (NULL
);
863 et_node
*b
= et_new_tree (NULL
);
865 ASSERT_FALSE (et_below (a
, b
));
866 ASSERT_FALSE (et_below (b
, a
));
872 /* Run all of the selftests within this file. */
879 test_disconnected_nodes ();
882 } // namespace selftest
884 #endif /* CHECKING_P */