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【翻译】一些有趣的算法代码

2018年04月23日 ⁄ 综合 ⁄ 共 9575字 ⁄ 字号 评论关闭

作者:Keith Schwarz是斯坦福大学计算机科学硕士,目前担任斯坦福大学计算机科学系的讲师。

Keith的主页:http://www.keithschwarz.com 上有其正在进行的项目描述,而本篇翻译的是其项目之一,主要是关于一些算法的实现和应用,目前已经有88个算法应用,而其的目标是要实现135个。

文章来源:http://www.keithschwarz.com/interesting/

以下为翻译:
这些有趣的代码是我研究和编写有趣的算法和数据结构而积累下来的,在进行这项工作的过程中,我希望能够学习到数学技巧以及提高编程技能。
这些例子是使用多种语言编写的,我通常喜欢使用C++来编写算法,因为STL提供了非常强大的库来描述支持多种数据类型的算法(译者注:也即泛型)。我使用JAVA来编写大部分的数据结构,因为JAVA中集合框架能够与应用程序无缝集成,同时JAVA中的垃圾回收机制简化了资源管理。有时,我发现使用另外一种语言(如Haskell)能够更好的表达一种算法或数据结构,此时,我会放弃通常的编程语言习惯。
如果你很好奇我将来希望实现的算法或数据结构,请查看我的TODO列表。

如果你想在自己的应用程序中使用其中的任何代码,可以直接使用,不需要明确引用这个网站,当然如果你引用了,我也是很乐意的。但是,请不要剽窃这里的代码(通过署自己的名),这样是不诚实的。最后需要提醒的是我非常有信心这里的代码是正确的,当然,我并没有对其进行非常严格的测试,所以可能也会潜伏着一两个错误。

请查看:

The Code

Name Link Date Added Language Description
Binomial Heap (link) 7‑24‑2010 C++ An implementation of a binomial heap data structure for use as a priority queue.
Bounded Priority Queue (link) 7‑24‑2010 C++ An implementation of a priority queue with a fixed upper limit to its size..
Matrix (link) 7‑24‑2010 C++ A collection of classes for manipulating matrices.
VList (link) 8‑16‑2010 Java An implementation of the List abstraction backed by a VList.
Function Wrapper (link) 8‑16‑2010 C++ A C++ wrapper class around unary functions.
String (link) 8‑17‑2010 C++ An implementation of a string abstraction that uses the small string optimization.
nstream (link) 8‑31‑2010 C++ An stream class that sends and receives data over a network.
Snake (link) 8‑31‑2010 C++ An implementation of the game Snake with a rudimentary AI.
Mergesort (link) 9‑14‑2010 C++ An implementation of the mergesort algorithm.
Next Permutation (link) 10‑6‑2010 C++ An implementation of the next_permutation STL algorithm.
Interval Heap (link) 10‑17‑2010 Java An implementation of a double-ended priority queue using an interval
heap
.
Linear-Time Selection (link) 10‑18‑2010 C++ A deterministic, linear-time selection algorithm using the median-of-medians algorithm.
Heapsort (link) 10‑18‑2010 C++ An implementation of the heapsort algorithm.
Union-Find (link) 10‑19‑2010 Java An implementation of a disjoint-set data structure using a disjoint set forest.
Radix Sort (link) 10‑19‑2010 C++ An implementation of the radix sort algorithm.
Rational (link) 10‑23‑2010 C++ A data structure representing a rational number.
DPLL (link) 10‑23‑2010 Haskell An implementation of the DPLL algorithm for solving CNF-SAT.
Smoothsort (link) 10‑27‑2010 C++ An implementation of the smoothsort algorithm, an adaptive heapsort variant.
Extendible Array (link) 10‑28‑2010 Java dynamic array class with O(1) worst-case runtime lookup and append.
In-Place Merge (link) 10‑29‑2010 C++ An implementation of a merge algorithm that runs in-place.
Random Shuffle (link) 10‑29‑2010 C++ An algorithm for generating a random permutation of a set of elements.
Random Sample (link) 10‑29‑2010 C++ An O(n) time, O(1) space algorithm for randomly choosing k elements out of a stream with uniform probability.
Natural Mergesort (link) 10‑30‑2010 C++ An implementation of natural mergesort, an adaptive variant
ofmergesort.
Interpolation Search (link) 10‑31‑2010 C++ An implementation of the interpolation search algorithm.
Introsort (link) 10‑31‑2010 C++ An implementation of the introsort algorithm, a fast hybrid ofquicksortheapsort,
and insertion sort.
Hashed Array Tree (link) 11‑3‑2010 Java An implementation of a dynamic array backed by a hashed array tree.
Recurrence Solver (link) 11‑13‑2010 C++ A fast algorithm for generating terms of a sequence defined by a linear
recurrence relation
.
Fibonacci Heap (link) 11‑15‑2010 Java An implementation of a priority queue backed by a Fibonacci heap.
Dijkstra's Algorithm (link) 11‑16‑2010 Java An implementation of Dijkstra's algorithm for single-source shortest paths.
Prim's Algorithm (link) 11‑17‑2010 Java An implementation of Prim's algorithm for computing minimum
spanning trees
.
Kruskal's Algorithm (link) 11‑17‑2010 Java An implementation of Kruskal's algorithm for computing minimum
spanning trees
.
Majority Element (link) 11‑17‑2010 C++ A fast, linear-time algorithm for finding the majority element of a data set.
Haar Transform (link) 11‑17‑2010 C++ A set of functions to decompose a sequence of values into a sum of Haar wavelets.
Argmax (link) 11‑19‑2010 C++ A pair of functions to compute the arg min or max of a function on some range.
Derivative (link) 11‑19‑2010 C++ function object that approximates the derivative of
a function.
Levenshtein Distance (link) 11‑19‑2010 C++ An algorithm for computing the Levenshtein distance between two sequences.
Skiplist (link) 11‑20‑2010 C++ An implementation of a skip list, a randomized data structure for maintaining a sorted collection.
van Emde Boas Tree (link) 11‑26‑2010 C++ An implementation of a sorted associative array backed by a van Emde Boas tree.
Cuckoo HashMap (link) 11‑27‑2010 Java An implementation of a hash table using cuckoo
hashing
.
Needleman-Wunsch Algorithm (link) 11‑28‑2010 C++ An implementation of the Needleman-Wunsch algorithm for optimal string alignment.
Treap (link) 11‑28‑2010 C++ An implementation of a sorted associative array backed by a treap.
Floyd-Warshall Algorithm (link) 12‑10‑2010 Java An implementation of the Floyd-Warshall algorithm for all-pairs shortest paths in a graph.
Power Iteration (link) 12‑10‑2010 C++ An implementation of the power iteration algorithm for finding dominant eigenvectors.
Edmonds's Matching Algorithm (link) 12‑15‑2010 Java An implementation of Edmonds's matching algorithm for finding maximum
matchings
 in undirected graphs.
Kosaraju's Algorithm (link) 12‑15‑2010 Java An implementation of Kosaraju's algorithm algorithm for findingstrongly
connected components
 of a directed graph.
2-SAT (link) 12‑15‑2010 Java A linear-time algorithm for solving 2-SAT.
Bellman-Ford Algorithm (link) 12‑17‑2010 Java An implementation of the Bellman-Ford algorithm for single-source shortest paths.
Topological Sort (link) 12‑17‑2010 Java An algorithm for computing a topological sort of a directed acyclic graph.
Graham Scan (link) 12‑19‑2010 C++ An implementation of the Graham scan for finding convex hulls in 2D space.
Bipartite Testing (link) 12‑19‑2010 Java A linear-time algorithm for checking whether a directed graph isbipartite.
Johnson's Algorithm (link) 12‑19‑2010 Java An implementation of Johnson's algorithm for all-pairs shortest paths.
Strassen Algorithm (link) 12‑20‑2010 C++ An implementation of the Strassen algorithm for fast matrix multiplication.
Cartesian Tree Sort (link) 12‑21‑2010 C++ An implementation of Cartesian tree sort, an adaptive, out-of-place heapsort variant.
Ford-Fulkerson Algorithm (link) 12‑21‑2010 Java An implementation of the Ford-Fulkerson maximum-flow algorithm.
Scaling Ford-Fulkerson (link) 12‑22‑2010 Java An modification of the Ford-Fulkerson maximum-flow algorithm that uses scaling to achieve polynomial time..
Splay Tree (link) 12‑27‑2010 C++ An implementation of a sorted associative array backed by a splay tree.
Ternary Search Tree (link) 12‑28‑2010 C++ An implementation of a sorted set of strings backed by a ternary search tree.
Ring Buffer (link) 12‑30‑2010 Java An implementation of a FIFO queue using a ring buffer.
AVL Tree (link) 12‑30‑2010 C++ A sorted associative container backed by an AVL tree.
Rabin-Karp Algorithm (link) 1‑1‑2011 C++ An implementation of the Rabin-Karp algorithm for string matching.
RPN Evaluator (link) 1‑18‑2011 C++ / strain A library to tokenize and evaluate simple arithmetic expressions inreverse Polish notation.
Shunting-Yard Algorithm (link) 1‑18‑2011 C++ / strain An implementation of Dijkstra's shunting-yard algorithm for converting infix expressions to reverse-Polish notation.
Skew Binomial Heap (link) 1‑20‑2011 C++ An implementation of a priority queue backed by a skew binomial heap.
2/3 Heap (link) 3‑1‑2011 C++ An implementation of a priority queue whose branching factor alternates at different levels to maximize performance.
Zeckendorf Logarithm (link) 3‑10‑2011 C++ An algorithm based on Zeckendorf representations that efficiently computes logarithms.
Factoradic Permutations (link) 3‑17‑2011 C++ A set of algorithms for generating permutations using the factoradic
number system
.
Binary Cyclic Subsets (link) 3‑20‑2011 C++ A set of algorithms for generating subsets in lexicographical
order
using binary numbers and cyclic shifts.
Fibonacci Iterator (link) 3‑22‑2011 C++ An STL-style iterator for iterating over the Fibonacci numbers.
Fibonacci Search (link) 3‑22‑2011 C++ An implementation of the Fibonacci search algorithm.
Euclid's Algorithm (link) 4‑18‑2011 Haskell An implementation of Euclid's algorithm and applications to continued
fractions
 and the extended Euclidean algorithm.
Find Duplicate (link) 4‑18‑2011 Python An algorithm to find a repeated element in an array using Floyd's cycle-finding algorithm.
Permutation Generator (link) 4‑19‑2011 Python generator for producing all permutations of
a list of elements.
Matrix Find (link) 4‑19‑2011 Python A solution to the classic interview question of searching a sorted matrix for a particular value.
Binary GCD (link) 4‑23‑2011 Scheme An implementation of the binary GCD algorithm for computing greatest common divisors of nonnegative integers.
Knuth-Morris-Pratt Algorithm (link) 5‑3‑2011 Python An implementation of the Knuth-Morris-Pratt algorithm for fast string matching.
Kadane's Algorithm (link) 5‑7‑2011 C++ An implementation of Kadane's algorithm for solving the maximum-weight subarray problem.
Karatsuba's Algorithm (link) 8‑15‑2011 Python An implementation of Karatsuba's algorithm for fast integer multiplication.
Min-Stack (link) 8‑15‑2011 C++ An implementation of a LIFO stack that supports O(1) push, pop, and find-minimum.
Random Bag (link) 8‑15‑2011 Python A data structure that supports insertion and removal of a uniformly-random element.
Min-Queue (link) 8‑15‑2011 C++ An implementation of a FIFO queue that supports O(1) push, pop, and find-minimum.
Lights-Out Solver (link) 8‑29‑2011 C++ A solver for the game Lights Out using Gaussian
elimination
 overGF(2).
Maximum Single-Sell Profit (link) 11‑9‑2011 Python Four algorithms for the maximum single-sell profit problem, each showing off a different algorithmic technique.
Generalized Kadane's Algorithm (link) 11‑10‑2011 C++ A generalization of Kadane's algorithm for solving the maximum subarray problem subject to a length
restriction
.
Longest Range (link) 11‑19‑2011 Java An algorithm for solving the longest contiguous range problem.
Egyptian Fractions (link) 11‑20‑2011 Python An implementation of the greedy algorithm for finding Egyptian
fractions
.
LL(1) Parser Generator (link) 11‑21‑2011 Java An LL(1) parser generator.
LR(0) Parser Generator (link) 11‑23‑2011 Java An LR(0) parser generator.
Word Ladders (link) 11‑27‑2011 JavaScript A program for finding word ladders between two words.

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