InverseTangent

java.lang.Object

org.drip.function.definition.R1ToR1

org.drip.function.r1tor1trigonometric.InverseTangent

public class InverseTangent
extends R1ToR1

InverseTangent implements the Trigonometric Inverse Tangent Function. The References are:

Belsley, D. A., E. Kuh, and R. E. Welsch (1980): Regression Dynamics: Identifying Influential Data and Sources of Collinearity John Wiley and Sons New York NY
Cheney, K. (2008): Numerical Mathematics and Computing Cengage Learning New York NY
Pesaran, M. H. (2015): Time Series and Panel Data Econometrics Oxford University Press New York NY
Trefethen, L. N., and D. Bau III (1997): Numerical Linear Algebra Society for Industrial and Applied Mathematics Philadelphia PA
Wikipedia (2024): Condition Number https://en.wikipedia.org/wiki/Condition_number

Module = Computational Core Module
Library = Numerical Analysis Library
Project = R^d To R^d Function Analysis
Package = Built-in R¹ To R¹ Trigonometric Functions

Author:: Lakshmi Krishnamurthy

Constructor Summary

Constructors

Constructor Description

InverseTangent()
InverseTangent Constructor

Method Summary

Modifier and Type	Method	Description
`double`	`conditionNumber(double x)`	Compute the Condition Number at the specified Variate
`double`	`evaluate(double x)`	Evaluate for the given variate

Methods inherited from class org.drip.function.definition.R1ToR1

antiDerivative, derivative, differential, differential, integrate, maxima, maxima, minima, minima, poleResidue

Methods inherited from class java.lang.Object

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

Constructor Details
- InverseTangent
  
  public InverseTangent() throws java.lang.Exception
  
  InverseTangent Constructor
  
  Throws:
  
  java.lang.Exception - Thrown if the Input is Invalid
Method Details
- evaluate
  
  public double evaluate(double x) throws java.lang.Exception
  
  Description copied from class: R1ToR1
  
  Evaluate for the given variate
  
  Specified by:
  
  evaluate in class R1ToR1
  
  Parameters:
  
  x - Variate
  
  Returns:
  
  Returns the calculated value
  
  Throws:
  
  java.lang.Exception - Thrown if evaluation cannot be done
- conditionNumber
  
  public double conditionNumber(double x) throws java.lang.Exception
  
  Description copied from class: R1ToR1
  
  Compute the Condition Number at the specified Variate
  
  Overrides:
  
  conditionNumber in class R1ToR1
  
  Parameters:
  
  x - Variate
  
  Returns:
  
  The Condition Number
  
  Throws:
  
  java.lang.Exception - Thrown if the Condition Number cannor be computed