com.google.common.math
Class BigIntegerMath

java.lang.Object
  com.google.common.math.BigIntegerMath

@Beta
public final class BigIntegerMath
extends Object

A class for arithmetic on values of type BigInteger.

The implementations of many methods in this class are based on material from Henry S. Warren, Jr.'s Hacker's Delight, (Addison Wesley, 2002).

Similar functionality for int and for long can be found in IntMath and LongMath respectively.

Since:

11.0

Author:

Louis Wasserman

Method Summary

static BigInteger	binomial(int n, int k) Returns n choose k, also known as the binomial coefficient of n and k, that is, n! / (k! (n - k)!).
static BigInteger	divide(BigInteger p, BigInteger q, RoundingMode mode) Returns the result of dividing p by q, rounding using the specified RoundingMode.
static BigInteger	factorial(int n) Returns n!, that is, the product of the first n positive integers, or 1 if n == 0.
static boolean	isPowerOfTwo(BigInteger x) Returns true if x represents a power of two.
static int	log10(BigInteger x, RoundingMode mode) Returns the base-10 logarithm of x, rounded according to the specified rounding mode.
static int	log2(BigInteger x, RoundingMode mode) Returns the base-2 logarithm of x, rounded according to the specified rounding mode.
static BigInteger	sqrt(BigInteger x, RoundingMode mode) Returns the square root of x, rounded with the specified rounding mode.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Method Detail

isPowerOfTwo

public static boolean isPowerOfTwo(BigInteger x)

Returns true if x represents a power of two.

log2

public static int log2(BigInteger x,
                       RoundingMode mode)

Returns the base-2 logarithm of x, rounded according to the specified rounding mode.

Throws:

IllegalArgumentException - if x <= 0

ArithmeticException - if mode is RoundingMode.UNNECESSARY and x is not a power of two

log10

public static int log10(BigInteger x,
                        RoundingMode mode)

Returns the base-10 logarithm of x, rounded according to the specified rounding mode.

Throws:

IllegalArgumentException - if x <= 0

ArithmeticException - if mode is RoundingMode.UNNECESSARY and x is not a power of ten

sqrt

public static BigInteger sqrt(BigInteger x,
                              RoundingMode mode)

Returns the square root of x, rounded with the specified rounding mode.

Throws:

IllegalArgumentException - if x < 0

ArithmeticException - if mode is RoundingMode.UNNECESSARY and sqrt(x) is not an integer

divide

public static BigInteger divide(BigInteger p,
                                BigInteger q,
                                RoundingMode mode)

Returns the result of dividing p by q, rounding using the specified RoundingMode.

Throws:

ArithmeticException - if q == 0, or if mode == UNNECESSARY and a is not an integer multiple of b

factorial

public static BigInteger factorial(int n)

Returns n!, that is, the product of the first n positive integers, or 1 if n == 0.

Warning: the result takes O(n log n) space, so use cautiously.

This uses an efficient binary recursive algorithm to compute the factorial with balanced multiplies. It also removes all the 2s from the intermediate products (shifting them back in at the end).

Throws:

IllegalArgumentException - if n < 0

binomial

public static BigInteger binomial(int n,
                                  int k)

Returns n choose k, also known as the binomial coefficient of n and k, that is, n! / (k! (n - k)!).

Warning: the result can take as much as O(k log n) space.

Throws:

IllegalArgumentException - if n < 0, k < 0, or k > n