2016-03-01 03:22:52 +08:00
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/*
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* A Pairing Heap implementation.
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*
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* "The Pairing Heap: A New Form of Self-Adjusting Heap"
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* https://www.cs.cmu.edu/~sleator/papers/pairing-heaps.pdf
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*
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* With auxiliary list, described in a follow on paper
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*
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* "Pairing Heaps: Experiments and Analysis"
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* http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.106.2988&rep=rep1&type=pdf
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*
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* Where search/nsearch/last are not needed, ph.h outperforms rb.h by ~7x fewer
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* cpu cycles, and ~4x fewer memory references.
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*
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* Tagging parent/prev pointers on the next list was also described in the
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* original paper, such that only two pointers are needed. This is not
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* implemented here, as it substantially increases the memory references
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* needed when ph_remove is called, almost overshadowing the other performance
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* gains.
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*
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*******************************************************************************
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*/
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#ifdef JEMALLOC_H_TYPES
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typedef struct ph_node_s ph_node_t;
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typedef struct ph_heap_s ph_heap_t;
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#endif /* JEMALLOC_H_TYPES */
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/******************************************************************************/
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#ifdef JEMALLOC_H_STRUCTS
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struct ph_node_s {
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ph_node_t *subheaps;
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ph_node_t *parent;
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ph_node_t *next;
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ph_node_t *prev;
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};
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struct ph_heap_s {
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ph_node_t *root;
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};
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#endif /* JEMALLOC_H_STRUCTS */
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/******************************************************************************/
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#ifdef JEMALLOC_H_EXTERNS
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#endif /* JEMALLOC_H_EXTERNS */
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/******************************************************************************/
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#ifdef JEMALLOC_H_INLINES
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#ifndef JEMALLOC_ENABLE_INLINE
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2016-03-09 05:43:47 +08:00
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ph_node_t *ph_merge_ordered(ph_node_t *heap1, ph_node_t *heap2);
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2016-03-01 03:22:52 +08:00
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ph_node_t *ph_merge(ph_node_t *heap1, ph_node_t *heap2);
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ph_node_t *ph_merge_pairs(ph_node_t *subheaps);
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void ph_merge_aux_list(ph_heap_t *l);
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void ph_new(ph_heap_t *n);
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ph_node_t *ph_first(ph_heap_t *l);
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void ph_insert(ph_heap_t *l, ph_node_t *n);
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ph_node_t *ph_remove_first(ph_heap_t *l);
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void ph_remove(ph_heap_t *l, ph_node_t *n);
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#endif
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#if (defined(JEMALLOC_ENABLE_INLINE) || defined(JEMALLOC_PH_C_))
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/* Helper routines ************************************************************/
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2016-03-09 05:43:47 +08:00
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JEMALLOC_INLINE ph_node_t *
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ph_merge_ordered(ph_node_t *heap1, ph_node_t *heap2)
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{
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assert(heap1 != NULL);
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assert(heap2 != NULL);
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assert ((uintptr_t)heap1 <= (uintptr_t)heap2);
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heap2->parent = heap1;
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heap2->prev = NULL;
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heap2->next = heap1->subheaps;
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if (heap1->subheaps != NULL)
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heap1->subheaps->prev = heap2;
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heap1->subheaps = heap2;
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return (heap1);
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}
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2016-03-01 03:22:52 +08:00
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JEMALLOC_INLINE ph_node_t *
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ph_merge(ph_node_t *heap1, ph_node_t *heap2)
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{
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if (heap1 == NULL)
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return (heap2);
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if (heap2 == NULL)
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return (heap1);
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/* Optional: user-settable comparison function */
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2016-03-09 05:43:47 +08:00
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if ((uintptr_t)heap1 < (uintptr_t)heap2)
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return (ph_merge_ordered(heap1, heap2));
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else
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return (ph_merge_ordered(heap2, heap1));
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2016-03-01 03:22:52 +08:00
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}
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JEMALLOC_INLINE ph_node_t *
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ph_merge_pairs(ph_node_t *subheaps)
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{
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if (subheaps == NULL)
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return (NULL);
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if (subheaps->next == NULL)
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return (subheaps);
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{
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ph_node_t *l0 = subheaps;
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ph_node_t *l1 = l0->next;
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ph_node_t *lrest = l1->next;
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if (lrest != NULL)
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lrest->prev = NULL;
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l1->next = NULL;
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l1->prev = NULL;
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l0->next = NULL;
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l0->prev = NULL;
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return (ph_merge(ph_merge(l0, l1), ph_merge_pairs(lrest)));
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}
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}
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/*
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* Merge the aux list into the root node.
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*/
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JEMALLOC_INLINE void
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ph_merge_aux_list(ph_heap_t *l)
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{
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if (l->root == NULL)
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return;
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if (l->root->next != NULL) {
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ph_node_t *l0 = l->root->next;
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ph_node_t *l1 = l0->next;
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ph_node_t *lrest = NULL;
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/* Multipass merge. */
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while (l1 != NULL) {
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lrest = l1->next;
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if (lrest != NULL)
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lrest->prev = NULL;
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l1->next = NULL;
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l1->prev = NULL;
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l0->next = NULL;
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l0->prev = NULL;
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l0 = ph_merge(l0, l1);
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l1 = lrest;
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}
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l->root->next = NULL;
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l->root = ph_merge(l->root, l0);
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}
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}
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/* User API *******************************************************************/
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JEMALLOC_INLINE void
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ph_new(ph_heap_t *n)
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{
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memset(n, 0, sizeof(ph_heap_t));
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}
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JEMALLOC_INLINE ph_node_t *
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ph_first(ph_heap_t *l)
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{
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/*
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* For the cost of an extra pointer, a l->min could be stored instead of
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* merging the aux list here. Current users always call ph_remove(l,
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* ph_first(l)) though, and the aux list must always be merged for
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* delete of the min node anyway.
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*/
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ph_merge_aux_list(l);
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return (l->root);
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}
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JEMALLOC_INLINE void
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ph_insert(ph_heap_t *l, ph_node_t *n)
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{
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memset(n, 0, sizeof(ph_node_t));
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/*
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* Non-aux list insert:
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*
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* l->root = ph_merge(l->root, n);
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*
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* Aux list insert:
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*/
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if (l->root == NULL)
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l->root = n;
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else {
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n->next = l->root->next;
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if (l->root->next != NULL)
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l->root->next->prev = n;
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n->prev = l->root;
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l->root->next = n;
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}
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}
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JEMALLOC_INLINE ph_node_t *
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ph_remove_first(ph_heap_t *l)
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{
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ph_node_t *ret;
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ph_merge_aux_list(l);
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if (l->root == NULL)
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return (NULL);
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ret = l->root;
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l->root = ph_merge_pairs(l->root->subheaps);
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return (ret);
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}
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JEMALLOC_INLINE void
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ph_remove(ph_heap_t *l, ph_node_t *n)
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{
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ph_node_t *replace;
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/*
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* We can delete from aux list without merging it, but we need to merge
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* if we are dealing with the root node.
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*/
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if (l->root == n) {
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ph_merge_aux_list(l);
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if (l->root == n) {
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ph_remove_first(l);
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return;
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}
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}
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/* Find a possible replacement node, and link to parent. */
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replace = ph_merge_pairs(n->subheaps);
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if (n->parent != NULL && n->parent->subheaps == n) {
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if (replace != NULL)
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n->parent->subheaps = replace;
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else
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n->parent->subheaps = n->next;
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}
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/* Set next/prev for sibling linked list. */
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if (replace != NULL) {
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replace->parent = n->parent;
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replace->prev = n->prev;
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if (n->prev != NULL)
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n->prev->next = replace;
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replace->next = n->next;
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if (n->next != NULL)
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n->next->prev = replace;
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} else {
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if (n->prev != NULL)
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n->prev->next = n->next;
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if (n->next != NULL)
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n->next->prev = n->prev;
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}
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}
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#endif
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#endif /* JEMALLOC_H_INLINES */
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/******************************************************************************/
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