Class Roots

java.lang.Object
edu.jas.arith.Roots
public class Roots extends Object
Root computation algorithms. Roots for BigInteger and BigDecimals.

  • Constructor Details

    • Roots

      public Roots()

  • Method Details

    • root

      public static BigInteger root(BigInteger A, int n)
      Integer n-th root. Uses BigDecimal and newton iteration. R is the n-th root of A.
      Parameters:
      A - big integer.
      n - long.
      Returns:
      the n-th root of A.

    • sqrt

      public static BigInteger sqrt(BigInteger A)
      Integer square root. Uses BigDecimal and newton iteration. R is the square root of A.
      Parameters:
      A - big integer.
      Returns:
      the square root of A.

    • sqrtInt

      public static BigInteger sqrtInt(BigInteger A)
      Integer square root. Uses BigInteger only. R is the square root of A.
      Parameters:
      A - big integer.
      Returns:
      the square root of A.

    • sqrt

      public static BigDecimal sqrt(BigDecimal A)
      Square root. R is the square root of A.
      Parameters:
      A - big decimal.
      Returns:
      the square root of A.

    • root

      public static BigDecimal root(BigDecimal A, int n)
      N-th root. R is the n-th root of A.
      Parameters:
      A - big decimal.
      n - long.
      Returns:
      the n-th root of A.

    • sqrt

      public static BigDecimalComplex sqrt(BigDecimalComplex a)
      Complex decimal number square root.
      Parameters:
      a - big decimal complex.
      Returns:
      sqrt(a).

    • sqrt

      public static BigRational sqrt(BigRational A)
      Square root. R is the square root approximation of A. Convert to BigDecimal and compute square root.
      Parameters:
      A - big rational.
      Returns:
      the square root approximation of A.

    • sqrt

      public static BigComplex sqrt(BigComplex A)
      Square root. R is the square root approximation of A. Convert to BigDecimalComplex and compute square root.
      Parameters:
      A - big complex rational.
      Returns:
      the square root approximation of A.