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/*
* C macro implementation of treaps.
*
* Usage:
* #include <stdint.h>
* #include "trp.h"
* trp_gen(...)
*
* Licensed under a two-clause BSD-style license.
* See LICENSE for details.
*/
#ifndef TRP_H_
#define TRP_H_
#define MAYBE_UNUSED __attribute__((__unused__))
/* Node structure. */
struct trp_node {
uint32_t trpn_left;
uint32_t trpn_right;
};
/* Root structure. */
struct trp_root {
uint32_t trp_root;
};
/* Pointer/Offset conversion. */
#define trpn_pointer(a_base, a_offset) (a_base##_pointer(a_offset))
#define trpn_offset(a_base, a_pointer) (a_base##_offset(a_pointer))
#define trpn_modify(a_base, a_offset) \
do { \
if ((a_offset) < a_base##_pool.committed) { \
uint32_t old_offset = (a_offset);\
(a_offset) = a_base##_alloc(1); \
*trpn_pointer(a_base, a_offset) = \
*trpn_pointer(a_base, old_offset); \
} \
} while (0)
/* Left accessors. */
#define trp_left_get(a_base, a_field, a_node) \
(trpn_pointer(a_base, a_node)->a_field.trpn_left)
#define trp_left_set(a_base, a_field, a_node, a_left) \
do { \
trpn_modify(a_base, a_node); \
trp_left_get(a_base, a_field, a_node) = (a_left); \
} while (0)
/* Right accessors. */
#define trp_right_get(a_base, a_field, a_node) \
(trpn_pointer(a_base, a_node)->a_field.trpn_right)
#define trp_right_set(a_base, a_field, a_node, a_right) \
do { \
trpn_modify(a_base, a_node); \
trp_right_get(a_base, a_field, a_node) = (a_right); \
} while (0)
/*
* Fibonacci hash function.
* The multiplier is the nearest prime to (2^32 times (√5 - 1)/2).
* See Knuth §6.4: volume 3, 3rd ed, p518.
*/
#define trpn_hash(a_node) (uint32_t) (2654435761u * (a_node))
/* Priority accessors. */
#define trp_prio_get(a_node) trpn_hash(a_node)
/* Node initializer. */
#define trp_node_new(a_base, a_field, a_node) \
do { \
trp_left_set(a_base, a_field, (a_node), ~0); \
trp_right_set(a_base, a_field, (a_node), ~0); \
} while (0)
/* Internal utility macros. */
#define trpn_first(a_base, a_field, a_root, r_node) \
do { \
(r_node) = (a_root); \
if ((r_node) == ~0) \
return NULL; \
while (~trp_left_get(a_base, a_field, (r_node))) \
(r_node) = trp_left_get(a_base, a_field, (r_node)); \
} while (0)
#define trpn_rotate_left(a_base, a_field, a_node, r_node) \
do { \
(r_node) = trp_right_get(a_base, a_field, (a_node)); \
trp_right_set(a_base, a_field, (a_node), \
trp_left_get(a_base, a_field, (r_node))); \
trp_left_set(a_base, a_field, (r_node), (a_node)); \
} while (0)
#define trpn_rotate_right(a_base, a_field, a_node, r_node) \
do { \
(r_node) = trp_left_get(a_base, a_field, (a_node)); \
trp_left_set(a_base, a_field, (a_node), \
trp_right_get(a_base, a_field, (r_node))); \
trp_right_set(a_base, a_field, (r_node), (a_node)); \
} while (0)
#define trp_gen(a_attr, a_pre, a_type, a_field, a_base, a_cmp) \
a_attr a_type MAYBE_UNUSED *a_pre##first(struct trp_root *treap) \
{ \
uint32_t ret; \
trpn_first(a_base, a_field, treap->trp_root, ret); \
return trpn_pointer(a_base, ret); \
} \
a_attr a_type MAYBE_UNUSED *a_pre##next(struct trp_root *treap, a_type *node) \
{ \
uint32_t ret; \
uint32_t offset = trpn_offset(a_base, node); \
if (~trp_right_get(a_base, a_field, offset)) { \
trpn_first(a_base, a_field, \
trp_right_get(a_base, a_field, offset), ret); \
} else { \
uint32_t tnode = treap->trp_root; \
ret = ~0; \
while (1) { \
int cmp = (a_cmp)(trpn_pointer(a_base, offset), \
trpn_pointer(a_base, tnode)); \
if (cmp < 0) { \
ret = tnode; \
tnode = trp_left_get(a_base, a_field, tnode); \
} else if (cmp > 0) { \
tnode = trp_right_get(a_base, a_field, tnode); \
} else { \
break; \
} \
} \
} \
return trpn_pointer(a_base, ret); \
} \
a_attr a_type MAYBE_UNUSED *a_pre##search(struct trp_root *treap, a_type *key) \
{ \
int cmp; \
uint32_t ret = treap->trp_root; \
while (~ret && (cmp = (a_cmp)(key, trpn_pointer(a_base, ret)))) { \
if (cmp < 0) { \
ret = trp_left_get(a_base, a_field, ret); \
} else { \
ret = trp_right_get(a_base, a_field, ret); \
} \
} \
return trpn_pointer(a_base, ret); \
} \
a_attr a_type MAYBE_UNUSED *a_pre##nsearch(struct trp_root *treap, a_type *key) \
{ \
int cmp; \
uint32_t ret = treap->trp_root; \
while (~ret && (cmp = (a_cmp)(key, trpn_pointer(a_base, ret)))) { \
if (cmp < 0) { \
if (!~trp_left_get(a_base, a_field, ret)) \
break; \
ret = trp_left_get(a_base, a_field, ret); \
} else { \
ret = trp_right_get(a_base, a_field, ret); \
} \
} \
return trpn_pointer(a_base, ret); \
} \
a_attr uint32_t MAYBE_UNUSED a_pre##insert_recurse(uint32_t cur_node, uint32_t ins_node) \
{ \
if (cur_node == ~0) { \
return ins_node; \
} else { \
uint32_t ret; \
int cmp = (a_cmp)(trpn_pointer(a_base, ins_node), \
trpn_pointer(a_base, cur_node)); \
if (cmp < 0) { \
uint32_t left = a_pre##insert_recurse( \
trp_left_get(a_base, a_field, cur_node), ins_node); \
trp_left_set(a_base, a_field, cur_node, left); \
if (trp_prio_get(left) < trp_prio_get(cur_node)) \
trpn_rotate_right(a_base, a_field, cur_node, ret); \
else \
ret = cur_node; \
} else { \
uint32_t right = a_pre##insert_recurse( \
trp_right_get(a_base, a_field, cur_node), ins_node); \
trp_right_set(a_base, a_field, cur_node, right); \
if (trp_prio_get(right) < trp_prio_get(cur_node)) \
trpn_rotate_left(a_base, a_field, cur_node, ret); \
else \
ret = cur_node; \
} \
return ret; \
} \
} \
a_attr void MAYBE_UNUSED a_pre##insert(struct trp_root *treap, a_type *node) \
{ \
uint32_t offset = trpn_offset(a_base, node); \
trp_node_new(a_base, a_field, offset); \
treap->trp_root = a_pre##insert_recurse(treap->trp_root, offset); \
} \
a_attr uint32_t MAYBE_UNUSED a_pre##remove_recurse(uint32_t cur_node, uint32_t rem_node) \
{ \
int cmp = a_cmp(trpn_pointer(a_base, rem_node), \
trpn_pointer(a_base, cur_node)); \
if (cmp == 0) { \
uint32_t ret; \
uint32_t left = trp_left_get(a_base, a_field, cur_node); \
uint32_t right = trp_right_get(a_base, a_field, cur_node); \
if (left == ~0) { \
if (right == ~0) \
return ~0; \
} else if (right == ~0 || trp_prio_get(left) < trp_prio_get(right)) { \
trpn_rotate_right(a_base, a_field, cur_node, ret); \
right = a_pre##remove_recurse(cur_node, rem_node); \
trp_right_set(a_base, a_field, ret, right); \
return ret; \
} \
trpn_rotate_left(a_base, a_field, cur_node, ret); \
left = a_pre##remove_recurse(cur_node, rem_node); \
trp_left_set(a_base, a_field, ret, left); \
return ret; \
} else if (cmp < 0) { \
uint32_t left = a_pre##remove_recurse( \
trp_left_get(a_base, a_field, cur_node), rem_node); \
trp_left_set(a_base, a_field, cur_node, left); \
return cur_node; \
} else { \
uint32_t right = a_pre##remove_recurse( \
trp_right_get(a_base, a_field, cur_node), rem_node); \
trp_right_set(a_base, a_field, cur_node, right); \
return cur_node; \
} \
} \
a_attr void MAYBE_UNUSED a_pre##remove(struct trp_root *treap, a_type *node) \
{ \
treap->trp_root = a_pre##remove_recurse(treap->trp_root, \
trpn_offset(a_base, node)); \
} \
#endif
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