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-rw-r--r--mergesort.c121
1 files changed, 66 insertions, 55 deletions
diff --git a/mergesort.c b/mergesort.c
index e5fdf2ee4a..6216835566 100644
--- a/mergesort.c
+++ b/mergesort.c
@@ -1,73 +1,84 @@
#include "cache.h"
#include "mergesort.h"
-struct mergesort_sublist {
- void *ptr;
- unsigned long len;
-};
-
-static void *get_nth_next(void *list, unsigned long n,
- void *(*get_next_fn)(const void *))
+/* Combine two sorted lists. Take from `list` on equality. */
+static void *llist_merge(void *list, void *other,
+ void *(*get_next_fn)(const void *),
+ void (*set_next_fn)(void *, void *),
+ int (*compare_fn)(const void *, const void *))
{
- while (n-- && list)
- list = get_next_fn(list);
- return list;
-}
+ void *result = list, *tail;
-static void *pop_item(struct mergesort_sublist *l,
- void *(*get_next_fn)(const void *))
-{
- void *p = l->ptr;
- l->ptr = get_next_fn(l->ptr);
- l->len = l->ptr ? (l->len - 1) : 0;
- return p;
+ if (compare_fn(list, other) > 0) {
+ result = other;
+ goto other;
+ }
+ for (;;) {
+ do {
+ tail = list;
+ list = get_next_fn(list);
+ if (!list) {
+ set_next_fn(tail, other);
+ return result;
+ }
+ } while (compare_fn(list, other) <= 0);
+ set_next_fn(tail, other);
+ other:
+ do {
+ tail = other;
+ other = get_next_fn(other);
+ if (!other) {
+ set_next_fn(tail, list);
+ return result;
+ }
+ } while (compare_fn(list, other) > 0);
+ set_next_fn(tail, list);
+ }
}
+/*
+ * Perform an iterative mergesort using an array of sublists.
+ *
+ * n is the number of items.
+ * ranks[i] is undefined if n & 2^i == 0, and assumed empty.
+ * ranks[i] contains a sublist of length 2^i otherwise.
+ *
+ * The number of bits in a void pointer limits the number of objects
+ * that can be created, and thus the number of array elements necessary
+ * to be able to sort any valid list.
+ *
+ * Adding an item to this array is like incrementing a binary number;
+ * positional values for set bits correspond to sublist lengths.
+ */
void *llist_mergesort(void *list,
void *(*get_next_fn)(const void *),
void (*set_next_fn)(void *, void *),
int (*compare_fn)(const void *, const void *))
{
- unsigned long l;
-
- if (!list)
- return NULL;
- for (l = 1; ; l *= 2) {
- void *curr;
- struct mergesort_sublist p, q;
+ void *ranks[bitsizeof(void *)];
+ size_t n = 0;
+ int i;
- p.ptr = list;
- q.ptr = get_nth_next(p.ptr, l, get_next_fn);
- if (!q.ptr)
- break;
- p.len = q.len = l;
+ while (list) {
+ void *next = get_next_fn(list);
+ if (next)
+ set_next_fn(list, NULL);
+ for (i = 0; n & (1 << i); i++)
+ list = llist_merge(ranks[i], list, get_next_fn,
+ set_next_fn, compare_fn);
+ n++;
+ ranks[i] = list;
+ list = next;
+ }
- if (compare_fn(p.ptr, q.ptr) > 0)
- list = curr = pop_item(&q, get_next_fn);
+ for (i = 0; n; i++, n >>= 1) {
+ if (!(n & 1))
+ continue;
+ if (list)
+ list = llist_merge(ranks[i], list, get_next_fn,
+ set_next_fn, compare_fn);
else
- list = curr = pop_item(&p, get_next_fn);
-
- while (p.ptr) {
- while (p.len || q.len) {
- void *prev = curr;
-
- if (!p.len)
- curr = pop_item(&q, get_next_fn);
- else if (!q.len)
- curr = pop_item(&p, get_next_fn);
- else if (compare_fn(p.ptr, q.ptr) > 0)
- curr = pop_item(&q, get_next_fn);
- else
- curr = pop_item(&p, get_next_fn);
- set_next_fn(prev, curr);
- }
- p.ptr = q.ptr;
- p.len = l;
- q.ptr = get_nth_next(p.ptr, l, get_next_fn);
- q.len = q.ptr ? l : 0;
-
- }
- set_next_fn(curr, NULL);
+ list = ranks[i];
}
return list;
}