FuncR1R1

java.lang.Object
- nce.math.FuncR1R1

Direct Known Subclasses:

PipePressDropOF
```
public abstract class FuncR1R1
extends java.lang.Object
```
Base class for the construction of a function f(x): R -> R the function can be passed to an equation solver

Version:

20140118

Author:

Carlo Tegano

Constructor Summary

Constructors
Constructor and Description

FuncR1R1()

Constructors
Constructor and Description
`FuncR1R1()`

Method Summary

Methods
Modifier and Type	Method and Description
`abstract double`	`evalFunction(double x)`
`double`	`evalNumericalDerivative(double x)` Computes the first derivative using the 3 point formula, with an error O(h^2)
`double`	`evalNumericalDerivative5p(double x)` Computes the first derivative using the 5 point formula, with an error O(h^4).
`double`	`evalNumericalDerivativeII(double x)` Computes the second derivative using the 3 point formula, with an error O(h^2)
`double`	`evalNumericalDerivativeII5p(double x)` Computes the 2nd derivative using the 5 point formula, with an error O(h^4)
`void`	`evalNumericalDerivatives12(double x)` Computes the first and second derivative using the 3 point formula and the same step h.
`double`	`getDdy()`
`double`	`getDy()`
`double`	`getDy5ErrEst()`
`double`	`getH()`
`java.lang.String`	`getLabel()`

Methods inherited from class java.lang.Object
equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

- Constructor Detail
  - FuncR1R1
```
public FuncR1R1()
```
- Method Detail
  - evalFunction
```
public abstract double evalFunction(double x)
```
  - getLabel
```
public java.lang.String getLabel()
```
  - evalNumericalDerivative
```
public double evalNumericalDerivative(double x)
```
    Computes the first derivative using the 3 point formula, with an error O(h^2)
    
    Parameters:
    x -
    
    Returns:
    dy
  - evalNumericalDerivativeII
```
public double evalNumericalDerivativeII(double x)
```
    Computes the second derivative using the 3 point formula, with an error O(h^2)
    
    Parameters:
    x -
    
    Returns:
    dy
  - evalNumericalDerivatives12
```
public void evalNumericalDerivatives12(double x)
```
    Computes the first and second derivative using the 3 point formula and the same step h. Saves computational effort in the case both derivatives are required.
  - evalNumericalDerivative5p
```
public double evalNumericalDerivative5p(double x)
```
    Computes the first derivative using the 5 point formula, with an error O(h^4). Estimates the error using the 3 point formula.
    
    Parameters:
    x -
    
    Returns:
    dy the estimated first derivative
  - evalNumericalDerivativeII5p
```
public double evalNumericalDerivativeII5p(double x)
```
    Computes the 2nd derivative using the 5 point formula, with an error O(h^4)
    
    Parameters:
    x -
    
    Returns:
    ddy the estimated second derivative
  - getDy5ErrEst
```
public double getDy5ErrEst()
```
  - getH
```
public double getH()
```
  - getDy
```
public double getDy()
```
  - getDdy
```
public double getDdy()
```

Class FuncR1R1

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Constructor Detail

FuncR1R1

Method Detail

evalFunction

getLabel

evalNumericalDerivative

evalNumericalDerivativeII

evalNumericalDerivatives12

evalNumericalDerivative5p

evalNumericalDerivativeII5p

getDy5ErrEst

getH

getDy

getDdy