Package org.djutils.complex

Class ComplexMath

java.lang.Object
org.djutils.complex.ComplexMath
public final class ComplexMath extends Object
ComplexMath.java. Math with complex operands and results.
Copyright (c) 2021-2024 Delft University of Technology, Jaffalaan 5, 2628 BX Delft, the Netherlands. All rights reserved. See for project information https://djutils.org. The DJUTILS project is distributed under a three-clause BSD-style license, which can be found at https://djutils.org/docs/license.html.
Author:
Alexander Verbraeck, Peter Knoppers

  • Method Details

    • sqrt

      public static Complex sqrt(Complex z)
      Principal square root of a Complex operand. The principal square root of a complex number has a non-negative real component.
      Parameters:
      z - Complex; the operand
      Returns:
      Complex; the principal square root of the operand

    • cbrt

      public static Complex cbrt(Complex z)
      Principal cube root of a Complex operand. The principal cube root of a complex number has the most positive. real component.
      Parameters:
      z - Complex; the operand
      Returns:
      Complex; the principal cube root of the operand

    • exp

      public static Complex exp(Complex z)
      Exponential function of a Complex operand.
      Parameters:
      z - Complex; the operand
      Returns:
      Complex; the result of the exponential function applied to the operand

    • ln

      public static Complex ln(Complex z)
      Principal value of the natural logarithm of a Complex operand. See Wikipedia Complex logarithm.
      Parameters:
      z - Complex; the operand
      Returns:
      Complex; the principal value of the natural logarithm of the Complex operand

    • sin

      public static Complex sin(Complex z)
      Sine function of a Complex operand. See ProofWiki Sine of Complex Number.
      Parameters:
      z - Complex; the operand
      Returns:
      Complex; the result of the sine function applied to the operand

    • cos

      public static Complex cos(Complex z)
      Cosine function of Complex operand. See ProofWiki Cosine of Complex Number.
      Parameters:
      z - Complex; the operand
      Returns:
      Complex; the result of the cosine function applied to the operand

    • tan

      public static Complex tan(Complex z)
      Tangent function of a Complex operand. See ProofWiki Tangent of Complex Number.
      Parameters:
      z - Complex; the operand
      Returns:
      Complex; the result of the tangent function applied to the operand

    • sinh

      public static Complex sinh(Complex z)
      Hyperbolic sine function of a Complex operand.
      Parameters:
      z - Complex; the operand
      Returns:
      Complex; the result of the sinh function applied to the operand

    • cosh

      public static Complex cosh(Complex z)
      Hyperbolic cosine function of Complex operand.
      Parameters:
      z - Complex; the operand
      Returns:
      Complex; the result of the cosh function applied to the operand

    • tanh

      public static Complex tanh(Complex z)
      Hyperbolic tangent function of a Complex operand. Based on ProofWiki: Hyperbolic Tangent of Complex Number, Formulation 4.
      Parameters:
      z - Complex; the operand
      Returns:
      Complex; the result of the tanh function applied to the operand

    • asin

      public static Complex asin(Complex z)
      Inverse sine function of a Complex operand. Derived from NetBSD Complex casin.c.
      Parameters:
      z - Complex; the operand
      Returns:
      Complex; the result of the asin function applied to the operand

    • acos

      public static Complex acos(Complex z)
      Inverse cosine function of a Complex operand. Derived from NetBSD Complex cacos.c.
      Parameters:
      z - Complex; the operand
      Returns:
      Complex; the result of the acos function applied to the operand

    • atan

      public static Complex atan(Complex z)
      Inverse tangent function of a Complex operand. Derived from NetBSD Complex catan.c.
      Parameters:
      z - Complex; the operand
      Returns:
      Complex; the result of the atan function applied to the operand

    • asinh

      public static Complex asinh(Complex z)
      Inverse hyperbolic sine of a Complex operand.
      Parameters:
      z - Complex; the operand
      Returns:
      Complex; the result of the asinh function applied to the operand

    • acosh

      public static Complex acosh(Complex z)
      Inverse hyperbolic cosine of a Complex operand.
      Parameters:
      z - Complex; the operand
      Returns:
      Complex; the result of the acosh function applied to the operand

    • atanh

      public static Complex atanh(Complex z)
      Inverse hyperbolic tangent of a Complex operand. Derived from NetBSD Complex catanh.c.
      Parameters:
      z - Complex; the operand
      Returns:
      Complex; the result of the atanh function applied to the operand