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### File: math/armstrong_number.cpp /** * @file * @brief Program to check if a number is an [Armstrong/Narcissistic * number](https://en.wikipedia.org/wiki/Narcissistic_number) in decimal system. * * @details * Armstrong number or [Narcissistic * number](https://en.wikipedia.org/wiki/Narcissistic_number) is a nu...
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### File: math/binary_exponent.cpp /** * @file * @brief C++ Program to find Binary Exponent Iteratively and Recursively. * * Calculate \f$a^b\f$ in \f$O(\log(b))\f$ by converting \f$b\f$ to a * binary number. Binary exponentiation is also known as exponentiation by * squaring. * @note This is a far better approa...
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### File: math/binomial_calculate.cpp /** * @file * @brief Program to calculate [Binomial * coefficients](https://en.wikipedia.org/wiki/Binomial_coefficient) * * @author [astronmax](https://github.com/astronmax) */ #include <cassert> /// for assert #include <cstdint> /// for int32_t type #include <cstdlib> ...
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### File: math/check_amicable_pair.cpp /** * @file * @brief A C++ Program to check whether a pair of numbers is an [amicable * pair](https://en.wikipedia.org/wiki/Amicable_numbers) or not. * * @details * An Amicable Pair is two positive integers such that the sum of the proper * divisor for each number is equal ...
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### File: math/check_factorial.cpp /** * @file * @brief A simple program to check if the given number is a * [factorial](https://en.wikipedia.org/wiki/Factorial) of some number or not. * * @details A factorial number is the sum of k! where any value of k is a * positive integer. https://www.mathsisfun.com/numbers...
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### File: math/check_prime.cpp /** * @file * @brief * A simple program to check if the given number is * [Prime](https://en.wikipedia.org/wiki/Primality_test) or not. * @details * A prime number is any number that can be divided only by itself and 1. It * must be positive and a whole number, therefore any prime ...
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### File: math/complex_numbers.cpp /** * @author tjgurwara99 * @file * * \brief An implementation of Complex Number as Objects * \details A basic implementation of Complex Number field as a class with * operators overloaded to accommodate (mathematical) field operations. */ #include <cassert> #include <cmath> #...
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### File: math/double_factorial.cpp /** * @file * @brief Compute [double * factorial](https://en.wikipedia.org/wiki/Double_factorial): \f$n!!\f$ * * Double factorial of a non-negative integer `n`, is defined as the product of * all the integers from 1 to n that have the same parity (odd or even) as n. * <br/>It ...
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### File: math/eratosthenes.cpp /** * @file * @brief [The Sieve of * Eratosthenes](https://en.wikipedia.org/wiki/Sieve_of_Eratosthenes) * @details * Store an array of booleans where a true value indicates that it's index is * prime. For all the values in the array starting from 2 which we know is * prime, we wal...
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### File: math/eulers_totient_function.cpp /** * @file * @brief Implementation of [Euler's * Totient](https://en.wikipedia.org/wiki/Euler%27s_totient_function) * @description * Euler Totient Function is also known as phi function. * \f[\phi(n) = * \phi\left({p_1}^{a_1}\right)\cdot\phi\left({p_2}^{a_2}\right)\ldo...
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### File: math/extended_euclid_algorithm.cpp /** * @file * @brief GCD using [extended Euclid's algorithm] * (https://en.wikipedia.org/wiki/Extended_Euclidean_algorithm) * * Finding coefficients of a and b ie x and y in Bézout's identity * \f[\text{gcd}(a, b) = a \times x + b \times y \f] * This is also used in ...
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### File: math/factorial.cpp /** * @file * @brief Find the [factorial](https://en.wikipedia.org/wiki/Factorial) of a * given number * @details Calculate factorial via recursion * \f[n! = n\times(n-1)\times(n-2)\times(n-3)\times\ldots\times3\times2\times1 * = n\times(n-1)!\f] * for example: * \f$5! = 5\tim...
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### File: math/factorial_memoization.cpp /** * @file * @brief [Factorial](https://en.wikipedia.org/wiki/Factorial) calculation using * recursion and [memoization](https://en.wikipedia.org/wiki/Memoization) * @details * This program computes the factorial of a non-negative integer using recursion * with memoizatio...
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### File: math/fast_power.cpp /** * @file * @brief Faster computation for \f$a^b\f$ * * Program that computes \f$a^b\f$ in \f$O(logN)\f$ time. * It is based on formula that: * 1. if \f$b\f$ is even: * \f$a^b = a^\frac{b}{2} \cdot a^\frac{b}{2} = {a^\frac{b}{2}}^2\f$ * 2. if \f$b\f$ is odd: \f$a^b = a^\frac{b-1...
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### File: math/fibonacci.cpp /** * @file * @brief n-th [Fibonacci * number](https://en.wikipedia.org/wiki/Fibonacci_sequence). * * @details * Naive recursive implementation to calculate the n-th Fibonacci number. * \f[\text{fib}(n) = \text{fib}(n-1) + \text{fib}(n-2)\f] * * @see fibonacci_large.cpp, fibonacci_...
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### File: math/fibonacci_fast.cpp /** * @file * @brief Faster computation of Fibonacci series. * * @details * An efficient way to calculate nth fibonacci number faster and simpler than * \f$O(n\log n)\f$ method of matrix exponentiation. This works by using both * recursion and dynamic programming. As 93rd fibona...
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### File: math/fibonacci_large.cpp /** * @file * @brief Computes N^th Fibonacci number given as * input argument. Uses custom build arbitrary integers library * to perform additions and other operations. * * Took 0.608246 seconds to compute 50,000^th Fibonacci * number that contains 10450 digits! * * \author [...
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### File: math/fibonacci_matrix_exponentiation.cpp /** * @file * @brief This program computes the N^th Fibonacci number in modulo mod * input argument . * * Takes O(logn) time to compute nth Fibonacci number * * * \author [villayatali123](https://github.com/villayatali123) * \author [unknown author]() * @see ...
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### File: math/fibonacci_sum.cpp /** * @file * @brief An algorithm to calculate the sum of [Fibonacci * Sequence](https://en.wikipedia.org/wiki/Fibonacci_number): \f$\mathrm{F}(n) + * \mathrm{F}(n+1) + .. + \mathrm{F}(m)\f$ * @details An algorithm to calculate the sum of Fibonacci Sequence: * \f$\mathrm{F}(n) + \...
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### File: math/finding_number_of_digits_in_a_number.cpp /** * @author [aminos 🇮🇳](https://github.com/amino19) * @file * * @brief [Program to count digits * in an * integer](https://www.geeksforgeeks.org/program-count-digits-integer-3-different-methods) * @details It is a very basic math of finding number of di...
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### File: math/gcd_iterative_euclidean.cpp /** * @file * @brief Compute the greatest common denominator of two integers using * *iterative form* of * [Euclidean algorithm](https://en.wikipedia.org/wiki/Euclidean_algorithm) * * @see gcd_recursive_euclidean.cpp, gcd_of_n_numbers.cpp */ #include <iostream> #include...
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### File: math/gcd_of_n_numbers.cpp /** * @file * @brief This program aims at calculating the GCD of n numbers * * @details * The GCD of n numbers can be calculated by * repeatedly calculating the GCDs of pairs of numbers * i.e. \f$\gcd(a, b, c)\f$ = \f$\gcd(\gcd(a, b), c)\f$ * Euclidean algorithm helps calcula...
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### File: math/gcd_recursive_euclidean.cpp /** * @file * @brief Compute the greatest common denominator of two integers using * *recursive form* of * [Euclidean algorithm](https://en.wikipedia.org/wiki/Euclidean_algorithm) * * @see gcd_iterative_euclidean.cpp, gcd_of_n_numbers.cpp */ #include <iostream> /** * ...
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### File: math/integral_approximation.cpp /** * @file * @brief Compute integral approximation of the function using [Riemann * sum](https://en.wikipedia.org/wiki/Riemann_sum) * @details In mathematics, a Riemann sum is a certain kind of approximation of * an integral by a finite sum. It is named after ninetee...
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### File: math/integral_approximation2.cpp /** * @file * @brief [Monte Carlo * Integration](https://en.wikipedia.org/wiki/Monte_Carlo_integration) * * @details * In mathematics, Monte Carlo integration is a technique for numerical * integration using random numbers. It is a particular Monte Carlo method that * ...
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### File: math/inv_sqrt.cpp /** * @file * @brief Implementation of [the inverse square root * Root](https://medium.com/hard-mode/the-legendary-fast-inverse-square-root-e51fee3b49d9). * @details * Two implementation to calculate inverse inverse root, * from Quake III Arena (C++ version) and with a standard library...
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### File: math/iterative_factorial.cpp /** * @file * @brief Iterative implementation of * [Factorial](https://en.wikipedia.org/wiki/Factorial) * * @author [Renjian-buchai](https://github.com/Renjian-buchai) * * @details Calculates factorial iteratively. * \f[n! = n\times(n-1)\times(n-2)\times(n-3)\times\ldots\t...
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### File: math/large_factorial.cpp /** * @file * @brief Compute factorial of any arbitratily large number/ * * \author [Krishna Vedala](https://github.com/kvedala) * @see factorial.cpp */ #include <cstring> #include <ctime> #include <iostream> #include "./large_number.h" /** Test implementation for 10! Result m...
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### File: math/large_number.h /** * @file * @brief Library to perform arithmatic operations on arbitrarily large * numbers. * \author [Krishna Vedala](https://github.com/kvedala) */ #ifndef MATH_LARGE_NUMBER_H_ #define MATH_LARGE_NUMBER_H_ #include <algorithm> #include <cassert> #include <cinttypes> #include <cst...
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### File: math/largest_power.cpp /** * @file * @brief Algorithm to find largest x such that p^x divides n! (factorial) using * Legendre's Formula. * @details Given an integer n and a prime number p, the task is to find the * largest x such that p^x (p raised to power x) divides n! (factorial). This * will be done...
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### File: math/lcm_sum.cpp /** * @file * @brief An algorithm to calculate the sum of LCM: \f$\mathrm{LCM}(1,n) + * \mathrm{LCM}(2,n) + \ldots + \mathrm{LCM}(n,n)\f$ * @details An algorithm to calculate the sum of LCM: \f$\mathrm{LCM}(1,n) + * \mathrm{LCM}(2,n) + \ldots + \mathrm{LCM}(n,n)\f$ where * \f$\mathrm{LC...
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### File: math/least_common_multiple.cpp /** * Copyright 2020 @author tjgurwara99 * @file * * A basic implementation of LCM function */ #include <cassert> #include <iostream> /** * Function for finding greatest common divisor of two numbers. * @params two integers x and y whose gcd we want to find. * @return ...
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### File: math/linear_recurrence_matrix.cpp /** * @brief Evaluate recurrence relation using [matrix * exponentiation](https://www.hackerearth.com/practice/notes/matrix-exponentiation-1/). * @details * Given a recurrence relation; evaluate the value of nth term. * For e.g., For fibonacci series, recurrence series i...
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### File: math/magic_number.cpp /** * @file * @brief A simple program to check if the given number is a magic number or * not. A number is said to be a magic number, if the sum of its digits are * calculated till a single digit recursively by adding the sum of the digits * after every addition. If the single digit...
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### File: math/miller_rabin.cpp /** * Copyright 2020 @author tjgurwara99 * @file * * A basic implementation of Miller-Rabin primality test. */ #include <cassert> #include <iostream> #include <random> #include <vector> /** * Function to give a binary representation of a number in reverse order * @param num inte...
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### File: math/modular_division.cpp /** * @file * @brief An algorithm to divide two numbers under modulo p [Modular * Division](https://www.geeksforgeeks.org/modular-division) * @details To calculate division of two numbers under modulo p * Modulo operator is not distributive under division, therefore * we first ...
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### File: math/modular_exponentiation.cpp /** * @file * @brief C++ Program for Modular Exponentiation Iteratively. * @details The task is to calculate the value of an integer a raised to an * integer exponent b under modulo c. * @note The time complexity of this approach is O(log b). * * Example: * (4^3) % 5 (w...
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### File: math/modular_inverse_fermat_little_theorem.cpp /** * @file * @brief C++ Program to find the modular inverse using [Fermat's Little * Theorem](https://en.wikipedia.org/wiki/Fermat%27s_little_theorem) * * Fermat's Little Theorem state that \f[ϕ(m) = m-1\f] * where \f$m\f$ is a prime number. * \f{eqnarray...
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### File: math/modular_inverse_simple.cpp /** * @file * @brief Simple implementation of [modular multiplicative * inverse](https://en.wikipedia.org/wiki/Modular_multiplicative_inverse) * * @details * this algorithm calculates the modular inverse x^{-1} \mod y iteratively */ #include <cassert> /// for assert #...
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### File: math/n_bonacci.cpp /** * @file * @brief Implementation of the * [N-bonacci](http://oeis.org/wiki/N-bonacci_numbers) series * * @details * In general, in N-bonacci sequence, * we generate sum of preceding N numbers from the next term. * * For example, a 3-bonacci sequence is the following: * 0, 0, 1,...
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### File: math/n_choose_r.cpp /** * @file * @brief [Combinations](https://en.wikipedia.org/wiki/Combination) n choose r * function implementation * @details * A very basic and efficient method of calculating * choosing r from n different choices. * \f$ \binom{n}{r} = \frac{n!}{r! (n-r)!} \f$ * * @author [Tajme...
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### File: math/ncr_modulo_p.cpp /** * @file * @brief This program aims at calculating [nCr modulo * p](https://cp-algorithms.com/combinatorics/binomial-coefficients.html). * @details nCr is defined as n! / (r! * (n-r)!) where n! represents factorial * of n. In many cases, the value of nCr is too large to fit in a ...
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### File: math/number_of_positive_divisors.cpp /** * @file * @brief C++ Program to calculate the number of positive divisors * * This algorithm uses the prime factorization approach. * Any positive integer can be written as a product of its prime factors. * <br/>Let \f$N = p_1^{e_1} \times p_2^{e_2} \times\cdots\...
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### File: math/perimeter.cpp /** * @file * @brief Implementations for the * [perimeter](https://en.wikipedia.org/wiki/Perimeter) of various shapes * @details The of a shape is the amount of 2D space it takes up. * All shapes have a formula for their perimeter. * These implementations support multiple return type...
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### File: math/power_for_huge_numbers.cpp /** * @file * @brief Compute powers of large numbers */ #include <iostream> /** Maximum number of digits in output * \f$x^n\f$ where \f$1 <= x,\; n <= 10000\f$ and overflow may happen */ #define MAX 100000 /** This function multiplies x * with the number represented by...
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### File: math/power_of_two.cpp /** * @file * @brief Implementation to check whether a number is a power of 2 or not. * * @details * This algorithm uses bit manipulation to check if a number is a power of 2 or * not. * * ### Algorithm * Let the input number be n, then the bitwise and between n and n-1 will let...
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### File: math/prime_factorization.cpp /** * @file * @brief Prime factorization of positive integers */ #include <algorithm> #include <cstring> #include <iostream> #include <vector> /** Declaring variables for maintaing prime numbers and to check whether a * number is prime or not */ bool isprime[1000006]; /** l...
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### File: math/prime_numbers.cpp /** * @file * @brief Get list of prime numbers * @see primes_up_to_billion.cpp sieve_of_eratosthenes.cpp */ #include <iostream> #include <vector> /** Generate an increasingly large number of primes * and store in a list */ std::vector<int> primes(size_t max) { std::vector<int...
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### File: math/primes_up_to_billion.cpp /** * @file * @brief Compute prime numbers upto 1 billion * @see prime_numbers.cpp sieve_of_eratosthenes.cpp */ #include <cstring> #include <iostream> /** array to store the primes */ char prime[100000000]; /** Perform Sieve algorithm */ void Sieve(int64_t n) { memset(p...
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### File: math/quadratic_equations_complex_numbers.cpp /** * @file * @brief Calculate quadratic equation with complex roots, i.e. b^2 - 4ac < 0. * * @author [Renjian-buchai](https://github.com/Renjian-buchai) * * @description Calculates any quadratic equation in form ax^2 + bx + c. * * Quadratic equation: * x ...
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### File: math/realtime_stats.cpp /** * \file * \brief Compute statistics for data entered in rreal-time * * This algorithm is really beneficial to compute statistics on data read in * realtime. For example, devices reading biometrics data. The algorithm is * simple enough to be easily implemented in an embedded ...
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### File: math/sieve_of_eratosthenes.cpp /** * @file * @brief Prime Numbers using [Sieve of * Eratosthenes](https://en.wikipedia.org/wiki/Sieve_of_Eratosthenes) * @details * Sieve of Eratosthenes is an algorithm that finds all the primes * between 2 and N. * * Time Complexity : \f$O(N \cdot\log \log N)\f$ * <...
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### File: math/sqrt_double.cpp /** * @file * @brief Calculate the square root of any positive real number in \f$O(\log * N)\f$ time, with precision fixed using [bisection * method](https://en.wikipedia.org/wiki/Bisection_method) of root-finding. * * @see Can be implemented using faster and better algorithms like ...
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### File: math/string_fibonacci.cpp /** * @file * @brief This Programme returns the Nth fibonacci as a string. * * The method used is manual addition with carry and placing it in a string * which is called string addition This makes it have no bounds or limits * * @see fibonacci_large.cpp, fibonacci_fast.cpp, fi...
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### File: math/sum_of_binomial_coefficient.cpp /** * @file * @brief Algorithm to find sum of binomial coefficients of a given positive * integer. * @details Given a positive integer n, the task is to find the sum of binomial * coefficient i.e nC0 + nC1 + nC2 + ... + nCn-1 + nCn By induction, we can * prove ...
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### File: math/sum_of_digits.cpp /** * Copyright 2020 @author iamnambiar * * @file * \brief A C++ Program to find the Sum of Digits of input integer. */ #include <cassert> #include <iostream> /** * Function to find the sum of the digits of an integer. * @param num The integer. * @return Sum of the digits of th...
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### File: math/vector_cross_product.cpp /** * @file * * @brief Calculates the [Cross Product](https://en.wikipedia.org/wiki/Cross_product) and the magnitude of two mathematical 3D vectors. * * * @details Cross Product of two vectors gives a vector. * Direction Ratios of a vector are the numeric parts of the give...
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### File: math/volume.cpp /** * @file * @brief Implmentations for the [volume](https://en.wikipedia.org/wiki/Volume) * of various 3D shapes. * @details The volume of a 3D shape is the amount of 3D space that the shape * takes up. All shapes have a formula to get the volume of any given shape. * These implementati...
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### File: numerical_methods/CMakeLists.txt # If necessary, use the RELATIVE flag, otherwise each source file may be listed # with full pathname. RELATIVE may makes it easier to extract an executable name # automatically. file( GLOB APP_SOURCES RELATIVE ${CMAKE_CURRENT_SOURCE_DIR} *.cpp ) # file( GLOB APP_SOURCES ${CMAK...
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### File: numerical_methods/babylonian_method.cpp /** * @file * @brief [A babylonian method * (BM)](https://en.wikipedia.org/wiki/Methods_of_computing_square_roots#Babylonian_method) * is an algorithm that computes the square root. * @details * This algorithm has an application in use case scenario where a ...
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### File: numerical_methods/bisection_method.cpp /** * \file * \brief Solve the equation \f$f(x)=0\f$ using [bisection * method](https://en.wikipedia.org/wiki/Bisection_method) * * Given two points \f$a\f$ and \f$b\f$ such that \f$f(a)<0\f$ and * \f$f(b)>0\f$, then the \f$(i+1)^\text{th}\f$ approximation is given...
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### File: numerical_methods/brent_method_extrema.cpp /** * \file * \brief Find real extrema of a univariate real function in a given interval * using [Brent's method](https://en.wikipedia.org/wiki/Brent%27s_method). * * Refer the algorithm discoverer's publication * [online](https://maths-people.anu.edu.au/~brent...
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### File: numerical_methods/composite_simpson_rule.cpp /** * @file * @brief Implementation of the Composite Simpson Rule for the approximation * * @details The following is an implementation of the Composite Simpson Rule for * the approximation of definite integrals. More info -> wiki: * https://en.wikipedia.org/...
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### File: numerical_methods/durand_kerner_roots.cpp /** * @file * \brief Compute all possible approximate roots of any given polynomial using * [Durand Kerner * algorithm](https://en.wikipedia.org/wiki/Durand%E2%80%93Kerner_method) * \author [Krishna Vedala](https://github.com/kvedala) * * Test the algorithm onl...
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### File: numerical_methods/false_position.cpp /** * \file * \brief Solve the equation \f$f(x)=0\f$ using [false position * method](https://en.wikipedia.org/wiki/Regula_falsi), also known as the Secant * method * * \details * First, multiple intervals are selected with the interval gap provided. * Separate recu...
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### File: numerical_methods/fast_fourier_transform.cpp /** * @file * @brief [A fast Fourier transform * (FFT)](https://medium.com/@aiswaryamathur/understanding-fast-fouriertransform-from-scratch-to-solve-polynomial-multiplication-8018d511162f) * is an algorithm that computes the * discrete Fourier transform (...
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### File: numerical_methods/gaussian_elimination.cpp /** * \file * \brief [Gaussian elimination * method](https://en.wikipedia.org/wiki/Gaussian_elimination) */ #include <iostream> /** Main function */ int main() { int mat_size, i, j, step; std::cout << "Matrix size: "; std::cin >> mat_size; // c...
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### File: numerical_methods/golden_search_extrema.cpp /** * \file * \brief Find extrema of a univariate real function in a given interval using * [golden section search * algorithm](https://en.wikipedia.org/wiki/Golden-section_search). * * \see brent_method_extrema.cpp * \author [Krishna Vedala](https://github.c...
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### File: numerical_methods/gram_schmidt.cpp /** * @file * @brief [Gram Schmidt Orthogonalisation * Process](https://en.wikipedia.org/wiki/Gram%E2%80%93Schmidt_process) * * @details * Takes the input of Linearly Independent Vectors, * returns vectors orthogonal to each other. * * ### Algorithm * Take the firs...
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### File: numerical_methods/lu_decompose.cpp /** * \file * \brief [LU decomposition](https://en.wikipedia.org/wiki/LU_decompositon) of a * square matrix * \author [Krishna Vedala](https://github.com/kvedala) */ #include <cassert> #include <ctime> #include <iomanip> #include <iostream> #include "./lu_decomposition...
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### File: numerical_methods/lu_decomposition.h /** * @file lu_decomposition.h * @author [Krishna Vedala](https://github.com/kvedala) * @brief Functions associated with [LU * Decomposition](https://en.wikipedia.org/wiki/LU_decomposition) * of a square matrix. */ #pragma once #include <iostream> #include <valarray...
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### File: numerical_methods/midpoint_integral_method.cpp /** * @file * @brief A numerical method for easy [approximation of * integrals](https://en.wikipedia.org/wiki/Midpoint_method) * @details The idea is to split the interval into N of intervals and use as * interpolation points the xi for which it applies that...
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### File: numerical_methods/newton_raphson_method.cpp /** * \file * \brief Solve the equation \f$f(x)=0\f$ using [Newton-Raphson * method](https://en.wikipedia.org/wiki/Newton%27s_method) for both real and * complex solutions * * The \f$(i+1)^\text{th}\f$ approximation is given by: * \f[ * x_{i+1} = x_i - \frac...
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### File: numerical_methods/ode_forward_euler.cpp /** * \file * \authors [Krishna Vedala](https://github.com/kvedala) * \brief Solve a multivariable first order [ordinary differential equation * (ODEs)](https://en.wikipedia.org/wiki/Ordinary_differential_equation) using * [forward Euler * method](https://en.wikip...
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### File: numerical_methods/ode_midpoint_euler.cpp /** * \file * \authors [Krishna Vedala](https://github.com/kvedala) * \brief Solve a multivariable first order [ordinary differential equation * (ODEs)](https://en.wikipedia.org/wiki/Ordinary_differential_equation) using * [midpoint Euler * method](https://en.wik...
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### File: numerical_methods/ode_semi_implicit_euler.cpp /** * \file * \authors [Krishna Vedala](https://github.com/kvedala) * \brief Solve a multivariable first order [ordinary differential equation * (ODEs)](https://en.wikipedia.org/wiki/Ordinary_differential_equation) using * [semi implicit Euler * method](http...
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### File: numerical_methods/qr_decompose.h /** * @file * \brief Library functions to compute [QR * decomposition](https://en.wikipedia.org/wiki/QR_decomposition) of a given * matrix. * \author [Krishna Vedala](https://github.com/kvedala) */ #ifndef NUMERICAL_METHODS_QR_DECOMPOSE_H_ #define NUMERICAL_METHODS_QR_D...
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### File: numerical_methods/qr_decomposition.cpp /** * @file * \brief Program to compute the [QR * decomposition](https://en.wikipedia.org/wiki/QR_decomposition) of a given * matrix. * \author [Krishna Vedala](https://github.com/kvedala) */ #include <array> #include <cmath> #include <cstdlib> #include <ctime> #i...
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### File: numerical_methods/qr_eigen_values.cpp /** * @file * \brief Compute real eigen values and eigen vectors of a symmetric matrix * using [QR decomposition](https://en.wikipedia.org/wiki/QR_decomposition) * method. * \author [Krishna Vedala](https://github.com/kvedala) */ #include <cassert> #include <cmath> ...
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### File: numerical_methods/rungekutta.cpp /** * @{ * \file * \brief [Runge Kutta fourth * order](https://en.wikipedia.org/wiki/Runge%E2%80%93Kutta_methods) method * implementation * * \author [Rudra Prasad Das](http://github.com/rudra697) * * \details * It solves the unknown value of y * for a given value o...
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### File: numerical_methods/successive_approximation.cpp /** * \file * \brief Method of successive approximations using [fixed-point * iteration](https://en.wikipedia.org/wiki/Fixed-point_iteration) method */ #include <cmath> #include <iostream> /** equation 1 * \f[f(y) = 3y - \cos y -2\f] */ static float eq(flo...
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### File: operations_on_datastructures/CMakeLists.txt # If necessary, use the RELATIVE flag, otherwise each source file may be listed # with full pathname. RELATIVE may makes it easier to extract an executable name # automatically. file( GLOB APP_SOURCES RELATIVE ${CMAKE_CURRENT_SOURCE_DIR} *.cpp ) # file( GLOB APP_SOU...
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### File: operations_on_datastructures/array_left_rotation.cpp /** * @file * @brief Implementation for the [Array Left * Rotation](https://www.javatpoint.com/program-to-left-rotate-the-elements-of-an-array) * algorithm. * @details Shifting an array to the left involves moving each element of the * array so that i...
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### File: operations_on_datastructures/array_right_rotation.cpp /** * @file * @brief Implementation for the [Array right * Rotation](https://www.javatpoint.com/program-to-right-rotate-the-elements-of-an-array) * algorithm. * @details Shifting an array to the right involves moving each element of the * array so th...
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### File: operations_on_datastructures/circular_linked_list.cpp /** * @file * @brief Implementation for a [Circular Linked * List](https://www.geeksforgeeks.org/circular-linked-list/). * @details A Circular Linked List is a variation on the regular linked list, in * which the last node has a pointer to the first n...
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### File: operations_on_datastructures/circular_queue_using_array.cpp #include <iostream> using std::cin; using std::cout; int queue[10]; int front = 0; int rear = 0; int count = 0; void Enque(int x) { if (count == 10) { cout << "\nOverflow"; } else { queue[rear] = x; rear = (rear + 1)...
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### File: operations_on_datastructures/get_size_of_linked_list.cpp #include <iostream> class Node { public: int val; Node *next; Node(int v, Node *n) : val(v), next(n) {} // Default constructor for Node }; int getSize(Node *root) { if (root == NULL) { return 0; } // Each node will r...
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### File: operations_on_datastructures/inorder_successor_of_bst.cpp /** * @file * @brief An implementation for finding the [Inorder successor of a binary * search tree](https://www.youtube.com/watch?v=5cPbNCrdotA) Inorder * successor of a node is the next node in Inorder traversal of the Binary Tree. * Inorder Suc...
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### File: operations_on_datastructures/intersection_of_two_arrays.cpp /** * @file * @brief Implementation for the [Intersection of two sorted * Arrays](https://en.wikipedia.org/wiki/Intersection_(set_theory)) * algorithm. * @details The intersection of two arrays is the collection of all the elements * that are c...
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### File: operations_on_datastructures/reverse_a_linked_list_using_recusion.cpp #include <iostream> using namespace std; struct node { int val; node *next; }; node *start; void insert(int x) { node *t = start; if (start != NULL) { while (t->next != NULL) { t = t->next; } ...
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### File: operations_on_datastructures/reverse_binary_tree.cpp /** * @file * @brief Implementation for the [Reversing a Binary * Tree](https://www.geeksforgeeks.org/reverse-tree-path/) recursively * algorithm. * @details A binary tree can be reversed by swapping the left and * right child of a node at each node, ...
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### File: operations_on_datastructures/selectionsortlinkedlist.cpp #include <iostream> using namespace std; // node defined class node { public: int data; node *link; node(int d) { data = d; link = NULL; } }; // printing the linked list void print(node *head) { node *current = hea...
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### File: operations_on_datastructures/trie_multiple_search.cpp /** * @file * @brief [Trie * datastructure](https://iq.opengenus.org/autocomplete-using-trie-data-structure/) * with search variants * @details * This provides multiple variants of search functions * on a trie structure utilizing STL. The tri...
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### File: operations_on_datastructures/union_of_two_arrays.cpp /** * @file * @brief Implementation for the [Union of two sorted * Arrays](https://en.wikipedia.org/wiki/Union_(set_theory)) * algorithm. * @details The Union of two arrays is the collection of all the unique elements * in the first array, combined wi...
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### File: others/CMakeLists.txt # If necessary, use the RELATIVE flag, otherwise each source file may be listed # with full pathname. RELATIVE may makes it easier to extract an executable name # automatically. file( GLOB APP_SOURCES RELATIVE ${CMAKE_CURRENT_SOURCE_DIR} *.cpp ) # file( GLOB APP_SOURCES ${CMAKE_SOURCE_DI...
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### File: others/buzz_number.cpp /** * @file * @brief A buzz number is a number that is either divisible by 7 or has last * digit as 7. */ #include <iostream> /** main function */ int main() { int n, t; std::cin >> t; while (t--) { std::cin >> n; if ((n % 7 == 0) || (n % 10 == 7)) ...
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### File: others/decimal_to_binary.cpp /** * @file * @brief Function to convert decimal number to binary representation */ #include <iostream> /** * This method converts the bit representation and stores it as a decimal * number. */ void method1(int number) { int remainder, binary = 0, var = 1; do { ...
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### File: others/decimal_to_hexadecimal.cpp /** * @file * @brief Convert decimal number to hexadecimal representation */ #include <iostream> /** * Main program */ int main(void) { int valueToConvert = 0; // Holds user input int hexArray[8]; // Contains hex values backwards int i = 0; ...
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### File: others/decimal_to_roman_numeral.cpp /** * @file * @brief This Programme Converts a given decimal number in the range [0,4000) * to both Lower case and Upper case Roman Numeral */ #include <cmath> #include <cstdio> #include <cstring> #include <iostream> /** This functions fills a string with character c,...
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### File: others/easter.cpp /* * @file * @brief Determines the [Date of * Easter](https://en.wikipedia.org/wiki/Date_of_Easter) after 1582 * * @details * The date of Easter is determined in each year through a calculation known as * "computus." Easter is celebrated on the first Sunday after the Paschal full * m...
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