style: format code (#4212)

close #4204
This commit is contained in:
acbin
2023-06-09 18:52:05 +08:00
committed by GitHub
parent ad03086f54
commit 00282efd8b
521 changed files with 5233 additions and 7309 deletions

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@@ -3,12 +3,12 @@ package com.thealgorithms.maths;
/*
* Java program for pollard rho algorithm
* The algorithm is used to factorize a number n = pq,
* where p is a non-trivial factor.
* where p is a non-trivial factor.
* Pollard's rho algorithm is an algorithm for integer factorization
* and it takes as its inputs n, the integer to be factored;
* and it takes as its inputs n, the integer to be factored;
* and g(x), a polynomial in x computed modulo n.
* In the original algorithm, g(x) = ((x ^ 2) 1) mod n,
* but nowadays it is more common to use g(x) = ((x ^ 2) + 1 ) mod n.
* but nowadays it is more common to use g(x) = ((x ^ 2) + 1 ) mod n.
* The output is either a non-trivial factor of n, or failure.
* It performs the following steps:
* x ← 2
@@ -20,19 +20,20 @@ package com.thealgorithms.maths;
* y ← g(g(y))
* d ← gcd(|x - y|, n)
* if d = n:
* if d = n:
* return failure
* else:
* return d
* Here x and y corresponds to xi and xj in the previous section.
* Here x and y corresponds to xi and xj in the previous section.
* Note that this algorithm may fail to find a nontrivial factor even when n is composite.
* In that case, the method can be tried again, using a starting value other than 2 or a different g(x)
*
* In that case, the method can be tried again, using a starting value other than 2 or a different
g(x)
*
* Wikipedia: https://en.wikipedia.org/wiki/Pollard%27s_rho_algorithm
*
*
* Author: Akshay Dubey (https://github.com/itsAkshayDubey)
*
*
* */
public class PollardRho {
@@ -40,7 +41,8 @@ public class PollardRho {
* This method returns a polynomial in x computed modulo n
*
* @param base Integer base of the polynomial
* @param modulus Integer is value which is to be used to perform modulo operation over the polynomial
* @param modulus Integer is value which is to be used to perform modulo operation over the
* polynomial
* @return Integer (((base * base) - 1) % modulus)
*/
static int g(int base, int modulus) {
@@ -57,13 +59,13 @@ public class PollardRho {
static int pollardRho(int number) {
int x = 2, y = 2, d = 1;
while (d == 1) {
//tortoise move
// tortoise move
x = g(x, number);
//hare move
// hare move
y = g(g(y, number), number);
//check GCD of |x-y| and number
// check GCD of |x-y| and number
d = GCD.gcd(Math.abs(x - y), number);
}
if (d == number) {