The Algorithms - Go

Algorithms implemented in Go (for education)

The repository is a collection of open-source implementation of a variety of algorithms implemented in Go and licensed under MIT License.

Read our Contribution Guidelines before you contribute.

List of Algorithms

Packages:

ahocorasick

Functions:

Advanced: Advanced Function performing the Advanced Aho-Corasick algorithm. Finds and prints occurrences of each pattern.
AhoCorasick: AhoCorasick Function performing the Basic Aho-Corasick algorithm. Finds and prints occurrences of each pattern.
ArrayUnion: ArrayUnion Concats two arrays of int's into one.
BoolArrayCapUp: BoolArrayCapUp Dynamically increases an array size of bool's by 1.
BuildAc: Functions that builds Aho Corasick automaton.
BuildExtendedAc: BuildExtendedAc Functions that builds extended Aho Corasick automaton.
ComputeAlphabet: ComputeAlphabet Function that returns string of all the possible characters in given patterns.
ConstructTrie: ConstructTrie Function that constructs Trie as an automaton for a set of reversed & trimmed strings.
Contains: Contains Returns 'true' if array of int's 's' contains int 'e', 'false' otherwise.
CreateNewState: CreateNewState Automaton function for creating a new state 'state'.
CreateTransition: CreateTransition Creates a transition for function σ(state,letter) = end.
GetParent: GetParent Function that finds the first previous state of a state and returns it. Used for trie where there is only one parent.
GetTransition: GetTransition Returns ending state for transition σ(fromState,overChar), '-1' if there is none.
GetWord: GetWord Function that returns word found in text 't' at position range 'begin' to 'end'.
IntArrayCapUp: IntArrayCapUp Dynamically increases an array size of int's by 1.
StateExists: StateExists Checks if state 'state' exists. Returns 'true' if it does, 'false' otherwise.

Types

Result: No description provided.

armstrong

Functions:

IsArmstrong: No description provided.

binary

Package binary describes algorithms that use binary operations for different calculations.

Functions:

Abs: Abs returns absolute value using binary operation Principle of operation: 1) Get the mask by right shift by the base 2) Base is the size of an integer variable in bits, for example, for int32 it will be 32, for int64 it will be 64 3) For negative numbers, above step sets mask as 1 1 1 1 1 1 1 1 and 0 0 0 0 0 0 0 0 for positive numbers. 4) Add the mask to the given number. 5) XOR of mask + n and mask gives the absolute value.
BitCounter: BitCounter - The function returns the number of set bits for an unsigned integer number
FastInverseSqrt: FastInverseSqrt assumes that argument is always positive, and it does not deal with negative numbers. The "magic" number 0x5f3759df is hex for 1597463007 in decimals. The math.Float32bits is alias to *(*uint32)(unsafe.Pointer(&f)) and math.Float32frombits is to *(*float32)(unsafe.Pointer(&b)).
IsPowerOfTwo: IsPowerOfTwo This function uses the fact that powers of 2 are represented like 10...0 in binary, and numbers one less than the power of 2 are represented like 11...1. Therefore, using the and function: 10...0 & 01...1 00...0 -> 0 This is also true for 0, which is not a power of 2, for which we have to add and extra condition.
IsPowerOfTwoLeftShift: IsPowerOfTwoLeftShift This function takes advantage of the fact that left shifting a number by 1 is equivalent to multiplying by 2. For example, binary 00000001 when shifted by 3 becomes 00001000, which in decimal system is 8 or = 2 * 2 * 2
LogBase2: LogBase2 Finding the exponent of n = 2**x using bitwise operations (logarithm in base 2 of n) See more
MeanUsingAndXor: MeanUsingAndXor This function finds arithmetic mean using "AND" and "XOR" operations
MeanUsingRightShift: MeanUsingRightShift This function finds arithmetic mean using right shift
ReverseBits: ReverseBits This function initialized the result by 0 (all bits 0) and process the given number starting from its least significant bit. If the current bit is 1, set the corresponding most significant bit in the result and finally move on to the next bit in the input number. Repeat this till all its bits are processed.
SequenceGrayCode: SequenceGrayCode The function generates an "Gray code" sequence of length n
Sqrt: No description provided.
XorSearchMissingNumber: XorSearchMissingNumber This function finds a missing number in a sequence

cache

Functions:

NewLRU: NewLRU represent initiate lru cache with capacity
NewLFU: NewLFU represent initiate lfu cache with capacity
Get: Get the value by key from LFU cache
Put: Put the key and value in LFU cache

Types

LRU: Default the struct of lru cache algorithm.
LFU: Default the struct of lfu cache algorithm.

caesar

Package caesar is the shift cipher ref: https://en.wikipedia.org/wiki/Caesar_cipher

Functions:

Decrypt: Decrypt decrypts by left shift of "key" each character of "input"
Encrypt: Encrypt encrypts by right shift of "key" each character of "input"
FuzzCaesar: No description provided.

catalan

Functions:

CatalanNumber: CatalanNumber This function returns the nth Catalan number

checksum

Package checksum describes algorithms for finding various checksums

Functions:

CRC8: CRC8 calculates CRC8 checksum of the given data.
Luhn: Luhn validates the provided data using the Luhn algorithm.

Types

CRCModel: No description provided.

coloring

Package coloring provides implementation of different graph coloring algorithms, e.g. coloring using BFS, using Backtracking, using greedy approach. Author(s): Shivam

Functions:

BipartiteCheck: basically tries to color the graph in two colors if each edge connects 2 differently colored nodes the graph can be considered bipartite

Types

Graph: No description provided.

combination

Package combination ...

Functions:

Start: Start ...

Types

Combinations: No description provided.

compression

Functions:

HuffDecode: HuffDecode recursively decodes the binary code in, by traversing the Huffman compression tree pointed by root. current stores the current node of the traversing algorithm. out stores the current decoded string.
HuffEncode: HuffEncode encodes the string in by applying the mapping defined by codes.
HuffEncoding: HuffEncoding recursively traverses the Huffman tree pointed by node to obtain the map codes, that associates a rune with a slice of booleans. Each code is prefixed by prefix and left and right children are labelled with the booleans false and true, respectively.
HuffTree: HuffTree returns the root Node of the Huffman tree by compressing listfreq. The compression produces the most optimal code lengths, provided listfreq is ordered, i.e.: listfreq[i] <= listfreq[j], whenever i < j.

Types

Node: No description provided.
SymbolFreq: No description provided.

compression_test

Functions:

SymbolCountOrd: SymbolCountOrd computes sorted symbol-frequency list of input message

conversion

Package conversion is a package of implementations which converts one data structure to another.

Functions:

Base64Decode: Base64Decode decodes the received input base64 string into a byte slice. The implementation follows the RFC4648 standard, which is documented at https://datatracker.ietf.org/doc/html/rfc4648#section-4
Base64Encode: Base64Encode encodes the received input bytes slice into a base64 string. The implementation follows the RFC4648 standard, which is documented at https://datatracker.ietf.org/doc/html/rfc4648#section-4
BinaryToDecimal: BinaryToDecimal() function that will take Binary number as string, and return its Decimal equivalent as integer.
DecimalToBinary: DecimalToBinary() function that will take Decimal number as int, and return its Binary equivalent as string.
FuzzBase64Encode: No description provided.
HEXToRGB: HEXToRGB splits an RGB input (e.g. a color in hex format; 0x) into the individual components: red, green and blue
IntToRoman: IntToRoman converts an integer value to a roman numeral string. An error is returned if the integer is not between 1 and 3999.
RGBToHEX: RGBToHEX does exactly the opposite of HEXToRGB: it combines the three components red, green and blue to an RGB value, which can be converted to e.g. Hex
Reverse: Reverse() function that will take string, and returns the reverse of that string.
RomanToInt: RomanToInt converts a roman numeral string to an integer. Roman numerals for numbers outside the range 1 to 3,999 will return an error. Nil or empty string return 0 with no error thrown.

deque

Package deque implements a Double Ended Queue data structure.

Functions:

New: New returns a new DoublyEndedQueue.

Types

DoublyEndedQueue: No description provided.

deque_test

Types

QueryStructure: No description provided.
TestCaseData: No description provided.

diffiehellman

Package diffiehellman implements Diffie-Hellman Key Exchange Algorithm for more information watch : https://www.youtube.com/watch?v=NmM9HA2MQGI

Functions:

GenerateMutualKey: GenerateMutualKey : generates a mutual key that can be used by only alice and bob mutualKey = (shareKey^prvKey)%primeNumber
GenerateShareKey: GenerateShareKey : generates a key using client private key , generator and primeNumber this key can be made public shareKey = (g^key)%primeNumber

dynamic

Package dynamic is a package of certain implementations of dynamically run algorithms.

Functions:

Abbreviation: Returns true if it is possible to make a equals b (if b is an abbreviation of a), returns false otherwise
Bin2: Bin2 function
CoinChange: CoinChange finds the number of possible combinations of coins of different values which can get to the target amount.
CutRodDp: CutRodDp solve the same problem using dynamic programming
CutRodRec: CutRodRec solve the problem recursively: initial approach
EditDistanceDP: EditDistanceDP is an optimised implementation which builds on the ideas of the recursive implementation. We use dynamic programming to compute the DP table where dp[i][j] denotes the edit distance value of first[0..i-1] and second[0..j-1]. Time complexity is O(m * n) where m and n are lengths of the strings, first and second respectively.
EditDistanceRecursive: EditDistanceRecursive is a naive implementation with exponential time complexity.
IsSubsetSum: No description provided.
Knapsack: Knapsack solves knapsack problem return maxProfit
LongestCommonSubsequence: LongestCommonSubsequence function
LongestIncreasingSubsequence: LongestIncreasingSubsequence returns the longest increasing subsequence where all elements of the subsequence are sorted in increasing order
LongestIncreasingSubsequenceGreedy: LongestIncreasingSubsequenceGreedy is a function to find the longest increasing subsequence in a given array using a greedy approach. The dynamic programming approach is implemented alongside this one. Worst Case Time Complexity: O(nlogn) Auxiliary Space: O(n), where n is the length of the array(slice). Reference: https://www.geeksforgeeks.org/construction-of-longest-monotonically-increasing-subsequence-n-log-n/
LpsDp: LpsDp function
LpsRec: LpsRec function
MatrixChainDp: MatrixChainDp function
MatrixChainRec: MatrixChainRec function
Max: Max function - possible duplicate
NthCatalanNumber: NthCatalan returns the n-th Catalan Number Complexity: O(n²)
NthFibonacci: NthFibonacci returns the nth Fibonacci Number
TrapRainWater: Calculate the amount of trapped rainwater between bars represented by an elevation map using dynamic programming.

dynamicarray

Package dynamicarray A dynamic array is quite similar to a regular array, but its Size is modifiable during program runtime, very similar to how a slice in Go works. The implementation is for educational purposes and explains how one might go about implementing their own version of slices. For more details check out those links below here: GeeksForGeeks article : https://www.geeksforgeeks.org/how-do-dynamic-arrays-work/ Go blog: https://blog.golang.org/slices-intro Go blog: https://blog.golang.org/slices authors Wesllhey Holanda, Milad see dynamicarray.go, dynamicarray_test.go

Types

DynamicArray: No description provided.

factorial

Package factorial describes algorithms Factorials calculations.

Functions:

Iterative: Iterative returns the iteratively brute forced factorial of n
Recursive: Recursive This function recursively computes the factorial of a number
UsingTree: UsingTree This function finds the factorial of a number using a binary tree

fibonacci

Functions:

Formula: Formula This function calculates the n-th fibonacci number using the formula Attention! Tests for large values fall due to rounding error of floating point numbers, works well, only on small numbers
Matrix: Matrix This function calculates the n-th fibonacci number using the matrix method. See
Recursive: Recursive calculates the n-th fibonacci number recursively by adding the previous two Fibonacci numbers. This algorithm is extremely slow for bigger numbers, but provides a simpler implementation.

gcd

Functions:

Extended: Extended simple extended gcd
ExtendedIterative: ExtendedIterative finds and returns gcd(a, b), x, y satisfying ax + by = gcd(a, b).
ExtendedRecursive: ExtendedRecursive finds and returns gcd(a, b), x, y satisfying ax + by = gcd(a, b).
Iterative: Iterative Faster iterative version of GcdRecursive without holding up too much of the stack
Recursive: Recursive finds and returns the greatest common divisor of a given integer.
TemplateBenchmarkExtendedGCD: No description provided.
TemplateBenchmarkGCD: No description provided.
TemplateTestExtendedGCD: No description provided.
TemplateTestGCD: No description provided.

generateparentheses

Functions:

GenerateParenthesis: No description provided.

genetic

Package genetic provides functions to work with strings using genetic algorithm. https://en.wikipedia.org/wiki/Genetic_algorithm Author: D4rkia

Functions:

GeneticString: GeneticString generates PopulationItem based on the imputed target string, and a set of possible runes to build a string with. In order to optimise string generation additional configurations can be provided with Conf instance. Empty instance of Conf (&Conf{}) can be provided, then default values would be set. Link to the same algorithm implemented in python: https://github.com/TheAlgorithms/Python/blob/master/genetic_algorithm/basic_string.py

Types

Conf: No description provided.
PopulationItem: No description provided.
Result: No description provided.

geometry

Package geometry contains geometric algorithms Package geometry contains geometric algorithms

Functions:

Distance: Distance calculates the shortest distance between two points.
EuclideanDistance: EuclideanDistance returns the Euclidean distance between points in any n dimensional Euclidean space.
IsParallel: IsParallel checks if two lines are parallel or not.
IsPerpendicular: IsPerpendicular checks if two lines are perpendicular or not.
PointDistance: PointDistance calculates the distance of a given Point from a given line. The slice should contain the coefficiet of x, the coefficient of y and the constant in the respective order.
Section: Section calculates the Point that divides a line in specific ratio. DO NOT specify the ratio in the form m:n, specify it as r, where r = m / n.
Slope: Slope calculates the slope (gradient) of a line.
YIntercept: YIntercept calculates the Y-Intercept of a line from a specific Point.

Types

EuclideanPoint: No description provided.
Line: No description provided.
Point: No description provided.

graph

Package graph demonstrates Graph search algorithms reference: https://en.wikipedia.org/wiki/Tree_traversal

Functions:

ArticulationPoint: ArticulationPoint is a function to identify articulation points in a graph. The function takes the graph as an argument and returns a boolean slice which indicates whether a vertex is an articulation point or not. Worst Case Time Complexity: O(|V| + |E|) Auxiliary Space: O(|V|) reference: https://en.wikipedia.org/wiki/Biconnected_component and https://cptalks.quora.com/Cut-Vertex-Articulation-point
BreadthFirstSearch: BreadthFirstSearch is an algorithm for traversing and searching graph data structures. It starts at an arbitrary node of a graph, and explores all of the neighbor nodes at the present depth prior to moving on to the nodes at the next depth level. Worst-case performance O(|V|+|E|)=O(b^{d})}O(|V|+|E|)=O(b^{d}) Worst-case space complexity O(|V|)=O(b^{d})}O(|V|)=O(b^{d}) reference: https://en.wikipedia.org/wiki/Breadth-first_search
DepthFirstSearch: No description provided.
DepthFirstSearchHelper: No description provided.
FloydWarshall: FloydWarshall Returns all pair's shortest path using Floyd Warshall algorithm
GetIdx: No description provided.
KruskalMST: No description provided.
PrimMST: Computes the minimum spanning tree of a weighted undirected graph
LowestCommonAncestor: For each node, we will precompute its ancestor above him, its ancestor two nodes above, its ancestor four nodes above, etc. Let's call jump[j][u] is the 2^j-th ancestor above the node u with u in range [0, numbersVertex), j in range [0,MAXLOG). These information allow us to jump from any node to any ancestor above it in O(MAXLOG) time.
New: Constructor functions for graphs (undirected by default)
NewTree: No description provided.
NewUnionFind: Initialise a new union find data structure with s nodes
NotExist: No description provided.
Topological: Topological assumes that graph given is valid and that its possible to get a topological ordering. constraints are array of []int{a, b}, representing an edge going from a to b
Edmond-Karp: Computes the maximum possible flow between a pair of s-t vertices in a weighted graph

Types

Edge: No description provided.
Graph: No description provided.
Item: No description provided.
Query: No description provided.
Tree: No description provided.
TreeEdge: No description provided.
UnionFind: No description provided.
WeightedGraph: No description provided.

guid

Package guid provides facilities for generating random globally unique identifiers.

Functions:

New: New returns a randomly generated global unique identifier.

hashmap

Functions:

Make: Make creates a new HashMap instance with input size and capacity
New: New return new HashMap instance

Types

HashMap: No description provided.

heap

Functions:

New: New gives a new heap object.
NewAny: NewAny gives a new heap object. element can be anything, but must provide less function.

Types

Heap: No description provided.

heap_test

Types

testInt:

Methods:
1. Less: No description provided.
testStudent:

Methods:
1. Less: No description provided.

horspool

Functions:

Horspool: No description provided.

kmp

Functions:

Kmp: Kmp Function kmp performing the Knuth-Morris-Pratt algorithm.

Types

args: No description provided.

lcm

Functions:

Lcm: Lcm returns the lcm of two numbers using the fact that lcm(a,b) * gcd(a,b) = | a * b |

levenshtein

Functions:

Distance: Distance Function that gives Levenshtein Distance

linkedlist

Package linkedlist demonstrates different implementations on linkedlists.

Functions:

JosephusProblem: https://en.wikipedia.org/wiki/Josephus_problem This is a struct-based solution for Josephus problem.
NewCyclic: Create new list.
NewDoubly: No description provided.
NewNode: Create new node.
NewSingly: NewSingly returns a new instance of a linked list

Types

Cyclic: No description provided.
Doubly: No description provided.
Node: No description provided.
Singly: No description provided.
testCase: No description provided.

manacher

Functions:

LongestPalindrome: No description provided.

math

Package math is a package that contains mathematical algorithms and its different implementations. filename : krishnamurthy.go description: A program which contains the function that returns true if a given number is Krishnamurthy number or not. details: A number is a Krishnamurthy number if the sum of all the factorials of the digits is equal to the number. Ex: 1! = 1, 145 = 1! + 4! + 5! author(s): GooMonk see krishnamurthy_test.go

Functions:

Abs: Abs returns absolute value
AliquotSum: This function returns s(n) for given number
Combinations: C is Binomial Coefficient function This function returns C(n, k) for given n and k
Cos: Cos returns the cosine of the radian argument x. See more Based on the idea of Bhaskara approximation of cos(x)
DefaultPolynomial: DefaultPolynomial is the commonly used polynomial g(x) = (x^2 + 1) mod n
FindKthMax: FindKthMax returns the kth large element given an integer slice with nil error if found and returns -1 with error search.ErrNotFound if not found. NOTE: The nums slice gets mutated in the process.
FindKthMin: FindKthMin returns kth small element given an integer slice with nil error if found and returns -1 with error search.ErrNotFound if not found. NOTE: The nums slice gets mutated in the process.
IsAutomorphic: No description provided.
IsKrishnamurthyNumber: IsKrishnamurthyNumber returns if the provided number n is a Krishnamurthy number or not.
IsPerfectNumber: Checks if inNumber is a perfect number
IsPowOfTwoUseLog: IsPowOfTwoUseLog This function checks if a number is a power of two using the logarithm. The limiting degree can be from 0 to 63. See alternatives in the binary package.
Lerp: Lerp or Linear interpolation This function will return new value in 't' percentage between 'v0' and 'v1'
LiouvilleLambda: Lambda is the liouville function This function returns λ(n) for given number
Mean: No description provided.
Median: No description provided.
Mode: No description provided.
Mu: Mu is the Mobius function This function returns μ(n) for given number
Phi: Phi is the Euler totient function. This function computes the number of numbers less then n that are coprime with n.
PollardsRhoFactorization: PollardsRhoFactorization is an implementation of Pollard's rho factorization algorithm using the default parameters x = y = 2
PronicNumber: PronicNumber returns true if argument passed to the function is pronic and false otherwise.
Sin: Sin returns the sine of the radian argument x. See more
SumOfProperDivisors: Returns the sum of proper divisors of inNumber.

matrix

filename: strassenmatrixmultiply.go description: Implements matrix multiplication using the Strassen algorithm. details: This program takes two matrices as input and performs matrix multiplication using the Strassen algorithm, which is an optimized divide-and-conquer approach. It allows for efficient multiplication of large matrices. author(s): Mohit Raghav(https://github.com/mohit07raghav19) See strassenmatrixmultiply_test.go for test cases

Functions:

IsValid: IsValid checks if the input matrix has consistent row lengths.
New: NewMatrix creates a new Matrix based on the provided arguments.
NewFromElements: NewFromElements creates a new Matrix from the given elements.

Types

Matrix: No description provided.

matrix_test

Functions:

MakeRandomMatrix: No description provided.

max

Functions:

Bitwise: Bitwise computes using bitwise operator the maximum of all the integer input and returns it
Int: Int is a function which returns the maximum of all the integers provided as arguments.

maxsubarraysum

Package maxsubarraysum is a package containing a solution to a common problem of finding max contiguous sum within a array of ints.

Functions:

MaxSubarraySum: MaxSubarraySum returns the maximum subarray sum

min

Functions:

Bitwise: Bitwise This function returns the minimum integer using bit operations
Int: Int is a function which returns the minimum of all the integers provided as arguments.

modular

Functions:

Exponentiation: Exponentiation returns base^exponent % mod
Inverse: Inverse Modular function
Multiply64BitInt: Multiply64BitInt Checking if the integer multiplication overflows

moserdebruijnsequence

Functions:

MoserDeBruijnSequence: No description provided.

nested

Package nested provides functions for testing strings proper brackets nesting.

Functions:

IsBalanced: IsBalanced returns true if provided input string is properly nested. Input is a sequence of brackets: '(', ')', '[', ']', '{', '}'. A sequence of brackets s is considered properly nested if any of the following conditions are true: - s is empty; - s has the form (U) or [U] or {U} where U is a properly nested string; - s has the form VW where V and W are properly nested strings. For example, the string "()()[()]" is properly nested but "[(()]" is not. Note Providing characters other then brackets would return false, despite brackets sequence in the string. Make sure to filter input before usage.

palindrome

Functions:

IsPalindrome: No description provided.
IsPalindromeRecursive: No description provided.

pangram

Functions:

IsPangram: No description provided.

parenthesis

Functions:

Parenthesis: Parenthesis algorithm checks if every opened parenthesis is closed correctly. When parcounter is less than 0 when a closing parenthesis is detected without an opening parenthesis that surrounds it and parcounter will be 0 if all open parenthesis are closed correctly.

pascal

Functions:

GenerateTriangle: GenerateTriangle This function generates a Pascal's triangle of n lines

password

Package password contains functions to help generate random passwords

Functions:

Generate: Generate returns a newly generated password

permutation

Functions:

GenerateElementSet: No description provided.
Heaps: Heap's Algorithm for generating all permutations of n objects
NextPermutation: A solution to find next permutation of an integer array in constant memory

pi

spigotpi_test.go description: Test for Spigot Algorithm for the Digits of Pi author(s) red_byte see spigotpi.go

Functions:

MonteCarloPi: No description provided.
MonteCarloPiConcurrent: MonteCarloPiConcurrent approximates the value of pi using the Monte Carlo method. Unlike the MonteCarloPi function (first version), this implementation uses goroutines and channels to parallelize the computation. More details on the Monte Carlo method available at https://en.wikipedia.org/wiki/Monte_Carlo_method. More details on goroutines parallelization available at https://go.dev/doc/effective_go#parallel.
Spigot: No description provided.

polybius

Package polybius is encrypting method with polybius square ref: https://en.wikipedia.org/wiki/Polybius_square#Hybrid_Polybius_Playfair_Cipher

Functions:

FuzzPolybius: No description provided.
NewPolybius: NewPolybius returns a pointer to object of Polybius. If the size of "chars" is longer than "size", "chars" are truncated to "size".

Types

Polybius: No description provided.

power

Functions:

IterativePower: IterativePower is iterative O(logn) function for pow(x, y)
RecursivePower: RecursivePower is recursive O(logn) function for pow(x, y)
RecursivePower1: RecursivePower1 is recursive O(n) function for pow(x, y)
UsingLog: No description provided.

prime

Functions:

Factorize: Factorize is a function that computes the exponents of each prime in the prime factorization of n
Generate: Generate returns a int slice of prime numbers up to the limit
GenerateChannel: Generate generates the sequence of integers starting at 2 and sends it to the channel ch
MillerRabinDeterministic: MillerRabinDeterministic is a Deterministic version of the Miller-Rabin test, which returns correct results for all valid int64 numbers.
MillerRabinProbabilistic: MillerRabinProbabilistic is a probabilistic test for primality of an integer based of the algorithm devised by Miller and Rabin.
MillerRandomTest: MillerRandomTest This is the intermediate step that repeats within the miller rabin primality test for better probabilitic chances of receiving the correct result with random witnesses.
MillerTest: MillerTest tests whether num is a strong probable prime to a witness. Formally: a^d ≡ 1 (mod n) or a^(2^r * d) ≡ -1 (mod n), 0 <= r <= s
MillerTestMultiple: MillerTestMultiple is like MillerTest but runs the test for multiple witnesses.
OptimizedTrialDivision: OptimizedTrialDivision checks primality of an integer using an optimized trial division method. The optimizations include not checking divisibility by the even numbers and only checking up to the square root of the given number.
Sieve: Sieve Sieving the numbers that are not prime from the channel - basically removing them from the channels
TrialDivision: TrialDivision tests whether a number is prime by trying to divide it by the numbers less than it.
Twin: This function returns twin prime for given number returns (n + 2) if both n and (n + 2) are prime -1 otherwise

pythagoras

Functions:

Distance: Distance calculates the distance between to vectors with the Pythagoras theorem

Types

Vector: No description provided.

queue

Functions:

BackQueue: BackQueue return the Back value
DeQueue: DeQueue it will be removed the first value that added into the list
EnQueue: EnQueue it will be added new value into our list
FrontQueue: FrontQueue return the Front value
IsEmptyQueue: IsEmptyQueue check our list is empty or not
LenQueue: LenQueue will return the length of the queue list

Types

LQueue: No description provided.
Node: No description provided.
Queue: No description provided.

rot13

Package rot13 is a simple letter substitution cipher that replaces a letter with the 13th letter after it in the alphabet. ref: https://en.wikipedia.org/wiki/ROT13

Functions:

FuzzRot13: No description provided.

rsa

Package rsa shows a simple implementation of RSA algorithm

Functions:

Decrypt: Decrypt decrypts encrypted rune slice based on the RSA algorithm
Encrypt: Encrypt encrypts based on the RSA algorithm - uses modular exponentitation in math directory
FuzzRsa: No description provided.

search

Functions:

BoyerMoore: Implementation of boyer moore string search O(l) where l=len(text)
Naive: Implementation of naive string search O(n*m) where n=len(txt) and m=len(pattern)

segmenttree

Functions:

NewSegmentTree: No description provided.

Types

SegmentTree: No description provided.

set

package set implements a Set using a golang map. This implies that only the types that are accepted as valid map keys can be used as set elements. For instance, do not try to Add a slice, or the program will panic.

Functions:

New: New gives new set.

sha256

Functions:

Hash: Hash hashes the input message using the sha256 hashing function, and return a 32 byte array. The implementation follows the RGC6234 standard, which is documented at https://datatracker.ietf.org/doc/html/rfc6234

sort

Package sort a package for demonstrating sorting algorithms in Go

Functions:

BinaryInsertion: No description provided.
Bogo: No description provided.
Bubble: Bubble is a simple generic definition of Bubble sort algorithm.
Bucket: Bucket sorts a slice. It is mainly useful when input is uniformly distributed over a range.
Cocktail: Cocktail sort is a variation of bubble sort, operating in two directions (beginning to end, end to beginning)
Comb: Comb is a simple sorting algorithm which is an improvement of the bubble sorting algorithm.
Count: No description provided.
Cycle: Cycle sort is an in-place, unstable sorting algorithm that is particularly useful when sorting arrays containing elements with a small range of values. It is theoretically optimal in terms of the total number of writes to the original array.
Exchange: No description provided.
HeapSort: No description provided.
ImprovedSimple: ImprovedSimple is a improve SimpleSort by skipping an unnecessary comparison of the first and last. This improved version is more similar to implementation of insertion sort
Insertion: No description provided.
Merge: Merge Perform merge sort on a slice
MergeIter: No description provided.
Pancake: Pancake sorts a slice using flip operations, where flip refers to the idea of reversing the slice from index 0 to i.
ParallelMerge: ParallelMerge Perform merge sort on a slice using goroutines
Partition: No description provided.
Patience: No description provided.
Pigeonhole: Pigeonhole sorts a slice using pigeonhole sorting algorithm. NOTE: To maintain time complexity O(n + N), this is the reason for having only Integer constraint instead of Ordered.
Quicksort: Quicksort Sorts the entire array
QuicksortRange: QuicksortRange Sorts the specified range within the array
RadixSort: No description provided.
Selection: No description provided.
Shell: No description provided.
Simple: No description provided.

Types

MaxHeap: No description provided.

sqrt

Package sqrt contains algorithms and data structures that contains a √n in their complexity

Functions:

NewSqrtDecomposition: Create a new SqrtDecomposition instance with the parameters as specified by SqrtDecomposition comment Assumptions: - len(elements) > 0

Types

SqrtDecomposition: No description provided.

stack

Functions:

NewStack: NewStack creates and returns a new stack.

Types

Array: No description provided.
Node: No description provided.
SList: No description provided.
Stack: No description provided.

strings

Package strings is a package that contains all algorithms that are used to analyse and manipulate strings.

Functions:

CountChars: CountChars counts the number of a times a character has occurred in the provided string argument and returns a map with rune as keys and the count as value.
IsIsogram: No description provided.
IsSubsequence: Returns true if s is subsequence of t, otherwise return false.

transposition

Functions:

Decrypt: No description provided.
Encrypt: No description provided.
FuzzTransposition: No description provided.

tree

For more details check out those links below here: Wikipedia article: https://en.wikipedia.org/wiki/Binary_search_tree authors guuzaa

Functions:

NewAVL: NewAVL creates a novel AVL tree
NewBinarySearch: NewBinarySearch creates a novel Binary-Search tree
NewRB: NewRB creates a new Red-Black Tree

Types

AVL: No description provided.
AVLNode: No description provided.
BSNode: No description provided.
BinarySearch: No description provided.
RB: No description provided.
RBNode: No description provided.

trie

Package trie provides Trie data structures in golang. Wikipedia: https://en.wikipedia.org/wiki/Trie

Functions:

NewNode: NewNode creates a new Trie node with initialized children map.

Types

Node: No description provided.

xor

Package xor is an encryption algorithm that operates the exclusive disjunction(XOR) ref: https://en.wikipedia.org/wiki/XOR_cipher

Functions:

Decrypt: Decrypt decrypts with Xor encryption
Encrypt: Encrypt encrypts with Xor encryption after converting each character to byte The returned value might not be readable because there is no guarantee which is within the ASCII range If using other type such as string, []int, or some other types, add the statements for converting the type to []byte.
FuzzXOR: No description provided.

Package rail fence is a classical type of transposition cipher ref : https://en.wikipedia.org/wiki/Rail_fence_cipher

Functions:

Encrypt: Encrypt encrypts a message using rail fence cipher
Decrypt: decrypt decrypts a message using rail fence cipher
TestEncrypt Test function for Encrypt
TestDecrypt Test function for Decrypt

License

aeciopires/Go

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