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Gregory Burd 2024-05-24 22:55:52 -04:00
parent 8b71b98bd7
commit c5529b6677
1 changed files with 22 additions and 19 deletions
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include/sl.h
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@ -53,20 +53,23 @@
#define _SKIPLIST_H_
/*
* This file defines a skiplist data structure written in C. Implemented as
* This file defines a skip-list data structure written in C. Implemented as
* using macros this code provides a way to essentially "template" (as in C++)
* and emit code with types and functions specific to your use case. You can
* apply these macros multiple times safely in your code, once for each
* application.
* apply these macros multiple times safely, once for each list type you need.
*
* A skiplist is a sorted list with O(log(n)) on average for most operations.
* A skip-list is a sorted list with O(log(n)) on average for most operations.
* It is a probabilistic datastructure, meaning that it does not guarantee
* O(log(n)) it approximates it over time. This implementation improves the
* probability by integrating the splay list algorithm for rebalancing trading
* off a bit of computational overhead and code complexity for a nearly always
* optimal, or "perfect" skiplist.
* O(log(n)), but it has been shown to approximate it over time. This
* implementation includes the rebalancing techniques that improve on that
* approximation using an adaptive technique called "splay-list" (named after
* the splay-tree due to the similarities between the two). It is similar to a
* standard skip-list, with the key distinction that the height of each element
* adapts dynamically to its access rate: popular elements increase in height,
* whereas rarely-accessed elements decrease in height. See below for the link
* to the research behind this adaptive technique.
*
* Conceptually, a skiplist is arranged as follows:
* Conceptually, at a high level, a skip-list is arranged as follows:
*
* <head> ----------> [2] --------------------------------------------------> [9] ---------->
* <head> ----------> [2] ------------------------------------[7] ----------> [9] ---------->
@ -79,22 +82,22 @@
* diagram). This allows for the algorithm to move down the list faster than
* having to visit every element.
*
* Conceptually, the skiplist can be thought of as a stack of linked lists. At
* the very bottom is the full linked list with every element, and each layer
* above corresponds to a linked list containing a random subset of the elements
* from the layer immediately below it. The probability distribution that
* determines this random subset can be customized, but typically a layer will
* contain half the nodes from the layer below.
* A skip-list can be thought of as a stack of linked lists. At the very bottom
* is a linked list with every element, and each layer above corresponds to a
* linked list containing a random subset of the elements from the layer
* immediately below it. The probability distribution that determines this
* random subset can be customized, but typically a layer will contain half the
* nodes from the layer below.
*
* This implementation maintains a doubly-linked list at the bottom layer to
* support efficient iteration in either direction. There is also a guard
* node at the tail rather than simply pointing to NULL.
* support efficient iteration in either direction. There is also a guard node
* at the tail rather than simply pointing to NULL.
*
* <head> <-> [1] <-> [2] <-> [3] <-> [4] <-> [5] <-> [6] <-> [7] <-> <tail>
*
* Safety:
*
* The ordered skiplist relies on a well-behaved comparison
* The ordered skip-list relies on a well-behaved comparison
* function. Specifically, given some ordering function f(a, b), it must satisfy
* the following properties:
*
@ -639,7 +642,7 @@ void __attribute__((format(printf, 4, 5))) __skip_diag_(const char *file, int li
size_t i, j, u_hits, hits_CHu = 0, hits_CHv = 0, delta_height, new_height, cur_hits, prev_hits; \
double k_threshold, m_total_hits, asc_cond, dsc_cond; \
\
/* return; TODO/WIP */ \
/* return; TODO/WIP */ \
/* Total hits, `k`, accross all nodes. */ \
m_total_hits = slist->slh_head->field.sle_levels[slist->slh_head->field.sle_height].hits; \
\