mirror of
https://github.com/libuv/libuv
synced 2025-03-28 21:13:16 +00:00
misc: remove splay trees macros (#4469)
This commit is contained in:
Viacheslav Muravyev
GitHub
parent
593aa3b2f6
commit
e4d47c5357
@ -35,21 +35,7 @@
|
|||||||
#endif
|
#endif
|
||||||
|
|
||||||
/*
|
/*
|
||||||
* This file defines data structures for different types of trees:
|
* This file defines data structures for red-black trees.
|
||||||
* splay trees and red-black trees.
|
|
||||||
*
|
|
||||||
* A splay tree is a self-organizing data structure. Every operation
|
|
||||||
* on the tree causes a splay to happen. The splay moves the requested
|
|
||||||
* node to the root of the tree and partly rebalances it.
|
|
||||||
*
|
|
||||||
* This has the benefit that request locality causes faster lookups as
|
|
||||||
* the requested nodes move to the top of the tree. On the other hand,
|
|
||||||
* every lookup causes memory writes.
|
|
||||||
*
|
|
||||||
* The Balance Theorem bounds the total access time for m operations
|
|
||||||
* and n inserts on an initially empty tree as O((m + n)lg n). The
|
|
||||||
* amortized cost for a sequence of m accesses to a splay tree is O(lg n);
|
|
||||||
*
|
|
||||||
* A red-black tree is a binary search tree with the node color as an
|
* A red-black tree is a binary search tree with the node color as an
|
||||||
* extra attribute. It fulfills a set of conditions:
|
* extra attribute. It fulfills a set of conditions:
|
||||||
* - every search path from the root to a leaf consists of the
|
* - every search path from the root to a leaf consists of the
|
||||||
@ -61,239 +47,6 @@
|
|||||||
* The maximum height of a red-black tree is 2lg (n+1).
|
* The maximum height of a red-black tree is 2lg (n+1).
|
||||||
*/
|
*/
|
||||||
|
|
||||||
#define SPLAY_HEAD(name, type) \
|
|
||||||
struct name { \
|
|
||||||
struct type *sph_root; /* root of the tree */ \
|
|
||||||
}
|
|
||||||
|
|
||||||
#define SPLAY_INITIALIZER(root) \
|
|
||||||
{ NULL }
|
|
||||||
|
|
||||||
#define SPLAY_INIT(root) do { \
|
|
||||||
(root)->sph_root = NULL; \
|
|
||||||
} while (/*CONSTCOND*/ 0)
|
|
||||||
|
|
||||||
#define SPLAY_ENTRY(type) \
|
|
||||||
struct { \
|
|
||||||
struct type *spe_left; /* left element */ \
|
|
||||||
struct type *spe_right; /* right element */ \
|
|
||||||
}
|
|
||||||
|
|
||||||
#define SPLAY_LEFT(elm, field) (elm)->field.spe_left
|
|
||||||
#define SPLAY_RIGHT(elm, field) (elm)->field.spe_right
|
|
||||||
#define SPLAY_ROOT(head) (head)->sph_root
|
|
||||||
#define SPLAY_EMPTY(head) (SPLAY_ROOT(head) == NULL)
|
|
||||||
|
|
||||||
/* SPLAY_ROTATE_{LEFT,RIGHT} expect that tmp hold SPLAY_{RIGHT,LEFT} */
|
|
||||||
#define SPLAY_ROTATE_RIGHT(head, tmp, field) do { \
|
|
||||||
SPLAY_LEFT((head)->sph_root, field) = SPLAY_RIGHT(tmp, field); \
|
|
||||||
SPLAY_RIGHT(tmp, field) = (head)->sph_root; \
|
|
||||||
(head)->sph_root = tmp; \
|
|
||||||
} while (/*CONSTCOND*/ 0)
|
|
||||||
|
|
||||||
#define SPLAY_ROTATE_LEFT(head, tmp, field) do { \
|
|
||||||
SPLAY_RIGHT((head)->sph_root, field) = SPLAY_LEFT(tmp, field); \
|
|
||||||
SPLAY_LEFT(tmp, field) = (head)->sph_root; \
|
|
||||||
(head)->sph_root = tmp; \
|
|
||||||
} while (/*CONSTCOND*/ 0)
|
|
||||||
|
|
||||||
#define SPLAY_LINKLEFT(head, tmp, field) do { \
|
|
||||||
SPLAY_LEFT(tmp, field) = (head)->sph_root; \
|
|
||||||
tmp = (head)->sph_root; \
|
|
||||||
(head)->sph_root = SPLAY_LEFT((head)->sph_root, field); \
|
|
||||||
} while (/*CONSTCOND*/ 0)
|
|
||||||
|
|
||||||
#define SPLAY_LINKRIGHT(head, tmp, field) do { \
|
|
||||||
SPLAY_RIGHT(tmp, field) = (head)->sph_root; \
|
|
||||||
tmp = (head)->sph_root; \
|
|
||||||
(head)->sph_root = SPLAY_RIGHT((head)->sph_root, field); \
|
|
||||||
} while (/*CONSTCOND*/ 0)
|
|
||||||
|
|
||||||
#define SPLAY_ASSEMBLE(head, node, left, right, field) do { \
|
|
||||||
SPLAY_RIGHT(left, field) = SPLAY_LEFT((head)->sph_root, field); \
|
|
||||||
SPLAY_LEFT(right, field) = SPLAY_RIGHT((head)->sph_root, field); \
|
|
||||||
SPLAY_LEFT((head)->sph_root, field) = SPLAY_RIGHT(node, field); \
|
|
||||||
SPLAY_RIGHT((head)->sph_root, field) = SPLAY_LEFT(node, field); \
|
|
||||||
} while (/*CONSTCOND*/ 0)
|
|
||||||
|
|
||||||
/* Generates prototypes and inline functions */
|
|
||||||
|
|
||||||
#define SPLAY_PROTOTYPE(name, type, field, cmp) \
|
|
||||||
void name##_SPLAY(struct name *, struct type *); \
|
|
||||||
void name##_SPLAY_MINMAX(struct name *, int); \
|
|
||||||
struct type *name##_SPLAY_INSERT(struct name *, struct type *); \
|
|
||||||
struct type *name##_SPLAY_REMOVE(struct name *, struct type *); \
|
|
||||||
\
|
|
||||||
/* Finds the node with the same key as elm */ \
|
|
||||||
static __inline struct type * \
|
|
||||||
name##_SPLAY_FIND(struct name *head, struct type *elm) \
|
|
||||||
{ \
|
|
||||||
if (SPLAY_EMPTY(head)) \
|
|
||||||
return(NULL); \
|
|
||||||
name##_SPLAY(head, elm); \
|
|
||||||
if ((cmp)(elm, (head)->sph_root) == 0) \
|
|
||||||
return (head->sph_root); \
|
|
||||||
return (NULL); \
|
|
||||||
} \
|
|
||||||
\
|
|
||||||
static __inline struct type * \
|
|
||||||
name##_SPLAY_NEXT(struct name *head, struct type *elm) \
|
|
||||||
{ \
|
|
||||||
name##_SPLAY(head, elm); \
|
|
||||||
if (SPLAY_RIGHT(elm, field) != NULL) { \
|
|
||||||
elm = SPLAY_RIGHT(elm, field); \
|
|
||||||
while (SPLAY_LEFT(elm, field) != NULL) { \
|
|
||||||
elm = SPLAY_LEFT(elm, field); \
|
|
||||||
} \
|
|
||||||
} else \
|
|
||||||
elm = NULL; \
|
|
||||||
return (elm); \
|
|
||||||
} \
|
|
||||||
\
|
|
||||||
static __inline struct type * \
|
|
||||||
name##_SPLAY_MIN_MAX(struct name *head, int val) \
|
|
||||||
{ \
|
|
||||||
name##_SPLAY_MINMAX(head, val); \
|
|
||||||
return (SPLAY_ROOT(head)); \
|
|
||||||
}
|
|
||||||
|
|
||||||
/* Main splay operation.
|
|
||||||
* Moves node close to the key of elm to top
|
|
||||||
*/
|
|
||||||
#define SPLAY_GENERATE(name, type, field, cmp) \
|
|
||||||
struct type * \
|
|
||||||
name##_SPLAY_INSERT(struct name *head, struct type *elm) \
|
|
||||||
{ \
|
|
||||||
if (SPLAY_EMPTY(head)) { \
|
|
||||||
SPLAY_LEFT(elm, field) = SPLAY_RIGHT(elm, field) = NULL; \
|
|
||||||
} else { \
|
|
||||||
int __comp; \
|
|
||||||
name##_SPLAY(head, elm); \
|
|
||||||
__comp = (cmp)(elm, (head)->sph_root); \
|
|
||||||
if(__comp < 0) { \
|
|
||||||
SPLAY_LEFT(elm, field) = SPLAY_LEFT((head)->sph_root, field); \
|
|
||||||
SPLAY_RIGHT(elm, field) = (head)->sph_root; \
|
|
||||||
SPLAY_LEFT((head)->sph_root, field) = NULL; \
|
|
||||||
} else if (__comp > 0) { \
|
|
||||||
SPLAY_RIGHT(elm, field) = SPLAY_RIGHT((head)->sph_root, field); \
|
|
||||||
SPLAY_LEFT(elm, field) = (head)->sph_root; \
|
|
||||||
SPLAY_RIGHT((head)->sph_root, field) = NULL; \
|
|
||||||
} else \
|
|
||||||
return ((head)->sph_root); \
|
|
||||||
} \
|
|
||||||
(head)->sph_root = (elm); \
|
|
||||||
return (NULL); \
|
|
||||||
} \
|
|
||||||
\
|
|
||||||
struct type * \
|
|
||||||
name##_SPLAY_REMOVE(struct name *head, struct type *elm) \
|
|
||||||
{ \
|
|
||||||
struct type *__tmp; \
|
|
||||||
if (SPLAY_EMPTY(head)) \
|
|
||||||
return (NULL); \
|
|
||||||
name##_SPLAY(head, elm); \
|
|
||||||
if ((cmp)(elm, (head)->sph_root) == 0) { \
|
|
||||||
if (SPLAY_LEFT((head)->sph_root, field) == NULL) { \
|
|
||||||
(head)->sph_root = SPLAY_RIGHT((head)->sph_root, field); \
|
|
||||||
} else { \
|
|
||||||
__tmp = SPLAY_RIGHT((head)->sph_root, field); \
|
|
||||||
(head)->sph_root = SPLAY_LEFT((head)->sph_root, field); \
|
|
||||||
name##_SPLAY(head, elm); \
|
|
||||||
SPLAY_RIGHT((head)->sph_root, field) = __tmp; \
|
|
||||||
} \
|
|
||||||
return (elm); \
|
|
||||||
} \
|
|
||||||
return (NULL); \
|
|
||||||
} \
|
|
||||||
\
|
|
||||||
void \
|
|
||||||
name##_SPLAY(struct name *head, struct type *elm) \
|
|
||||||
{ \
|
|
||||||
struct type __node, *__left, *__right, *__tmp; \
|
|
||||||
int __comp; \
|
|
||||||
\
|
|
||||||
SPLAY_LEFT(&__node, field) = SPLAY_RIGHT(&__node, field) = NULL; \
|
|
||||||
__left = __right = &__node; \
|
|
||||||
\
|
|
||||||
while ((__comp = (cmp)(elm, (head)->sph_root)) != 0) { \
|
|
||||||
if (__comp < 0) { \
|
|
||||||
__tmp = SPLAY_LEFT((head)->sph_root, field); \
|
|
||||||
if (__tmp == NULL) \
|
|
||||||
break; \
|
|
||||||
if ((cmp)(elm, __tmp) < 0){ \
|
|
||||||
SPLAY_ROTATE_RIGHT(head, __tmp, field); \
|
|
||||||
if (SPLAY_LEFT((head)->sph_root, field) == NULL) \
|
|
||||||
break; \
|
|
||||||
} \
|
|
||||||
SPLAY_LINKLEFT(head, __right, field); \
|
|
||||||
} else if (__comp > 0) { \
|
|
||||||
__tmp = SPLAY_RIGHT((head)->sph_root, field); \
|
|
||||||
if (__tmp == NULL) \
|
|
||||||
break; \
|
|
||||||
if ((cmp)(elm, __tmp) > 0){ \
|
|
||||||
SPLAY_ROTATE_LEFT(head, __tmp, field); \
|
|
||||||
if (SPLAY_RIGHT((head)->sph_root, field) == NULL) \
|
|
||||||
break; \
|
|
||||||
} \
|
|
||||||
SPLAY_LINKRIGHT(head, __left, field); \
|
|
||||||
} \
|
|
||||||
} \
|
|
||||||
SPLAY_ASSEMBLE(head, &__node, __left, __right, field); \
|
|
||||||
} \
|
|
||||||
\
|
|
||||||
/* Splay with either the minimum or the maximum element \
|
|
||||||
* Used to find minimum or maximum element in tree. \
|
|
||||||
*/ \
|
|
||||||
void name##_SPLAY_MINMAX(struct name *head, int __comp) \
|
|
||||||
{ \
|
|
||||||
struct type __node, *__left, *__right, *__tmp; \
|
|
||||||
\
|
|
||||||
SPLAY_LEFT(&__node, field) = SPLAY_RIGHT(&__node, field) = NULL; \
|
|
||||||
__left = __right = &__node; \
|
|
||||||
\
|
|
||||||
for (;;) { \
|
|
||||||
if (__comp < 0) { \
|
|
||||||
__tmp = SPLAY_LEFT((head)->sph_root, field); \
|
|
||||||
if (__tmp == NULL) \
|
|
||||||
break; \
|
|
||||||
if (__comp < 0){ \
|
|
||||||
SPLAY_ROTATE_RIGHT(head, __tmp, field); \
|
|
||||||
if (SPLAY_LEFT((head)->sph_root, field) == NULL) \
|
|
||||||
break; \
|
|
||||||
} \
|
|
||||||
SPLAY_LINKLEFT(head, __right, field); \
|
|
||||||
} else if (__comp > 0) { \
|
|
||||||
__tmp = SPLAY_RIGHT((head)->sph_root, field); \
|
|
||||||
if (__tmp == NULL) \
|
|
||||||
break; \
|
|
||||||
if (__comp > 0) { \
|
|
||||||
SPLAY_ROTATE_LEFT(head, __tmp, field); \
|
|
||||||
if (SPLAY_RIGHT((head)->sph_root, field) == NULL) \
|
|
||||||
break; \
|
|
||||||
} \
|
|
||||||
SPLAY_LINKRIGHT(head, __left, field); \
|
|
||||||
} \
|
|
||||||
} \
|
|
||||||
SPLAY_ASSEMBLE(head, &__node, __left, __right, field); \
|
|
||||||
}
|
|
||||||
|
|
||||||
#define SPLAY_NEGINF -1
|
|
||||||
#define SPLAY_INF 1
|
|
||||||
|
|
||||||
#define SPLAY_INSERT(name, x, y) name##_SPLAY_INSERT(x, y)
|
|
||||||
#define SPLAY_REMOVE(name, x, y) name##_SPLAY_REMOVE(x, y)
|
|
||||||
#define SPLAY_FIND(name, x, y) name##_SPLAY_FIND(x, y)
|
|
||||||
#define SPLAY_NEXT(name, x, y) name##_SPLAY_NEXT(x, y)
|
|
||||||
#define SPLAY_MIN(name, x) (SPLAY_EMPTY(x) ? NULL \
|
|
||||||
: name##_SPLAY_MIN_MAX(x, SPLAY_NEGINF))
|
|
||||||
#define SPLAY_MAX(name, x) (SPLAY_EMPTY(x) ? NULL \
|
|
||||||
: name##_SPLAY_MIN_MAX(x, SPLAY_INF))
|
|
||||||
|
|
||||||
#define SPLAY_FOREACH(x, name, head) \
|
|
||||||
for ((x) = SPLAY_MIN(name, head); \
|
|
||||||
(x) != NULL; \
|
|
||||||
(x) = SPLAY_NEXT(name, head, x))
|
|
||||||
|
|
||||||
/* Macros that define a red-black tree */
|
/* Macros that define a red-black tree */
|
||||||
#define RB_HEAD(name, type) \
|
#define RB_HEAD(name, type) \
|
||||||
struct name { \
|
struct name { \
|
||||||
|
|||||||
Loading…
x
Reference in New Issue
Block a user