math Directory Reference

Files
	aliquot_sum.cpp
	Program to return the Aliquot Sum of a number.
	approximate_pi.cpp
	Implementation to calculate an estimate of the number π (Pi).
	area.cpp
	Implementations for the area of various shapes.
	binary_exponent.cpp
	C++ Program to find Binary Exponent Iteratively and Recursively.
	binomial_calculate.cpp
	Program to calculate Binomial coefficients
	check_amicable_pair.cpp
	A C++ Program to check whether a pair of numbers is an amicable pair or not.
	check_factorial.cpp
	A simple program to check if the given number is a factorial of some number or not.
	check_prime.cpp
	A simple program to check if the given number is Prime or not.
	complex_numbers.cpp
	An implementation of Complex Number as Objects.
	double_factorial.cpp
	Compute double factorial: \(n!!\).
	eratosthenes.cpp
	The Sieve of Eratosthenes
	eulers_totient_function.cpp
	Implementation of Euler's Totient @description Euler Totient Function is also known as phi function.
	extended_euclid_algorithm.cpp
	GCD using [extended Euclid's algorithm] (https://en.wikipedia.org/wiki/Extended_Euclidean_algorithm)
	factorial.cpp
	Find the factorial of a given number.
	fast_power.cpp
	Faster computation for \(a^b\).
	fibonacci.cpp
	Generate fibonacci sequence.
	fibonacci_fast.cpp
	Faster computation of Fibonacci series.
	fibonacci_large.cpp
	Computes N^th Fibonacci number given as input argument. Uses custom build arbitrary integers library to perform additions and other operations.
	fibonacci_matrix_exponentiation.cpp
	This program computes the N^th Fibonacci number in modulo mod input argument .
	fibonacci_sum.cpp
	An algorithm to calculate the sum of Fibonacci Sequence: \(\mathrm{F}(n) + \mathrm{F}(n+1) + .. + \mathrm{F}(m)\).
	finding_number_of_digits_in_a_number.cpp
	[Program to count digits in an integer](https://www.geeksforgeeks.org/program-count-digits-integer-3-different-methods)
	gcd_iterative_euclidean.cpp
	Compute the greatest common denominator of two integers using iterative form of Euclidean algorithm
	gcd_of_n_numbers.cpp
	This program aims at calculating the GCD of n numbers.
	gcd_recursive_euclidean.cpp
	Compute the greatest common denominator of two integers using recursive form of Euclidean algorithm
	integral_approximation.cpp
	Compute integral approximation of the function using Riemann sum
	integral_approximation2.cpp
	Monte Carlo Integration
	inv_sqrt.cpp
	Implementation of the inverse square root Root.
	iterative_factorial.cpp
	Iterative implementation of Factorial
	large_factorial.cpp
	Compute factorial of any arbitratily large number/.
	large_number.h
	Library to perform arithmatic operations on arbitrarily large numbers.
	largest_power.cpp
	Algorithm to find largest x such that p^x divides n! (factorial) using Legendre's Formula.
	lcm_sum.cpp
	An algorithm to calculate the sum of LCM: \(\mathrm{LCM}(1,n) + \mathrm{LCM}(2,n) + \ldots + \mathrm{LCM}(n,n)\).
	least_common_multiple.cpp
	magic_number.cpp
	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 comes out to be 1,then the number is a magic number.
	miller_rabin.cpp
	modular_division.cpp
	An algorithm to divide two numbers under modulo p Modular Division
	modular_exponentiation.cpp
	C++ Program for Modular Exponentiation Iteratively.
	modular_inverse_fermat_little_theorem.cpp
	C++ Program to find the modular inverse using Fermat's Little Theorem
	modular_inverse_simple.cpp
	Simple implementation of modular multiplicative inverse
	n_bonacci.cpp
	Implementation of the N-bonacci series.
	n_choose_r.cpp
	Combinations n choose r function implementation
	ncr_modulo_p.cpp
	This program aims at calculating nCr modulo p.
	number_of_positive_divisors.cpp
	C++ Program to calculate the number of positive divisors.
	perimeter.cpp
	Implementations for the perimeter of various shapes.
	power_for_huge_numbers.cpp
	Compute powers of large numbers.
	power_of_two.cpp
	Implementation to check whether a number is a power of 2 or not.
	prime_factorization.cpp
	Prime factorization of positive integers.
	prime_numbers.cpp
	Get list of prime numbers.
	primes_up_to_billion.cpp
	Compute prime numbers upto 1 billion.
	quadratic_equations_complex_numbers.cpp
	Calculate quadratic equation with complex roots, i.e. b^2 - 4ac < 0.
	realtime_stats.cpp
	Compute statistics for data entered in rreal-time.
	sieve_of_eratosthenes.cpp
	Get list of prime numbers using Sieve of Eratosthenes.
	sqrt_double.cpp
	Calculate the square root of any positive real number in \(O(\log N)\) time, with precision fixed using bisection method of root-finding.
	string_fibonacci.cpp
	This Programme returns the Nth fibonacci as a string.
	sum_of_binomial_coefficient.cpp
	Algorithm to find sum of binomial coefficients of a given positive integer.
	sum_of_digits.cpp
	A C++ Program to find the Sum of Digits of input integer.
	vector_cross_product.cpp
	Calculates the Cross Product and the magnitude of two mathematical 3D vectors.
	volume.cpp
	Implmentations for the volume of various 3D shapes.