java.lang.Object
- gov.nih.mipav.model.algorithms.InverseLaplaceqd

Direct Known Subclasses:

AlgorithmFRAP.FitExpModelqd, AlgorithmFRAP.FitFullModelqd, InverseLaplaceTest.Fitqd1, InverseLaplaceTest.Fitqd10, InverseLaplaceTest.Fitqd11, InverseLaplaceTest.Fitqd12, InverseLaplaceTest.Fitqd13, InverseLaplaceTest.Fitqd14, InverseLaplaceTest.Fitqd15, InverseLaplaceTest.Fitqd16, InverseLaplaceTest.Fitqd2, InverseLaplaceTest.Fitqd3, InverseLaplaceTest.Fitqd4, InverseLaplaceTest.Fitqd5, InverseLaplaceTest.Fitqd6, InverseLaplaceTest.Fitqd7, InverseLaplaceTest.Fitqd8, InverseLaplaceTest.Fitqd9
```
public abstract class InverseLaplaceqd
extends java.lang.Object
```
This is a port of niltqd.m, a fast numerical inverse Laplace transform based on FFT and quotient-difference algorithm by Lubomir Brancik, 2001, Brno University of Technology.
In doing fits be sure to exclude the t = 0.0 point values as the error associated with this point is far greater than the error associated with the other points. Increasing p above 3 did not have any appreciable effect on the rms error. For the exp(t) example the effect of tol was: tol = 1.0E-8 rms error = 6.29E-5 tol = 1.0E-9 rms error = 7.26E-6 tol = 1.0E-10 rms error = 4.40E-6 tol = 1.0E-11 rms error = 1.13E-5 tol = 1.0E-12 rms error = 3.27E-5

Field Summary

Fields
Modifier and Type	Field	Description
`(package private) double`	`endTime`	DOCUMENT ME!
`private double`	`largestPole`	largest pole of Laplace space function (default zero) Note that InverseLaplace may give incorrect results if the default value of largestPole is used.
`private int`	`p`	DOCUMENT ME!
`private double[]`	`time`	resulting vector of times.
`private double[]`	`timeFunction`	resulting vector of real-space values.
`private double`	`tol`	numerical tolerance of approaching pole (default 1.0e-9).
`private int`	`tPts`	DOCUMENT ME!

Constructor Summary

Constructors
Constructor	Description
`InverseLaplaceqd(int timePoints, double endTime)`	Constructor for InverseLaplaceqd.
`InverseLaplaceqd(int timePoints, double endTime, double largestPole, double tol, int matrixSizeParameter)`	Constructor for InverseLaplaceqd.

Method Summary

All Methods Instance Methods Abstract Methods Concrete Methods
Modifier and Type	Method	Description
`void`	`driver()`	driver.
`abstract double[][]`	`fitToLaplace(double realS, double[] imagS)`	The second index is 0 for the real part and 1 for the imaginary part.
`double[]`	`getTime()`	getTime.
`double[]`	`getTimeFunction()`	getTimeFunction.

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

- Field Detail
  - endTime
```
double endTime
```
    DOCUMENT ME!
  - largestPole
```
private double largestPole
```
    largest pole of Laplace space function (default zero) Note that InverseLaplace may give incorrect results if the default value of largestPole is used. For example, the function exp(t) with the Laplace transform 1/(s-1) will give correct results if largestPole is set to 1.0, but will return incorrect negative values for time >= 1.0 if the largestPole default of 0.0 is used.
  - p
```
private int p
```
    DOCUMENT ME!
  - time
```
private double[] time
```
    resulting vector of times.
  - timeFunction
```
private double[] timeFunction
```
    resulting vector of real-space values.
  - tol
```
private double tol
```
    numerical tolerance of approaching pole (default 1.0e-9).
  - tPts
```
private final int tPts
```
    DOCUMENT ME!
- Constructor Detail
  - InverseLaplaceqd
```
public InverseLaplaceqd(int timePoints,
                        double endTime)
```
    Constructor for InverseLaplaceqd.
    
    Parameters:
    
    timePoints - int
    
    endTime - double
  - InverseLaplaceqd
```
public InverseLaplaceqd(int timePoints,
                        double endTime,
                        double largestPole,
                        double tol,
                        int matrixSizeParameter)
```
    Constructor for InverseLaplaceqd.
    
    Parameters:
    
    timePoints - int
    
    endTime - double
    
    largestPole - double
    
    tol - double
    
    matrixSizeParameter - int
- Method Detail
  - fitToLaplace
```
public abstract double[][] fitToLaplace(double realS,
                                        double[] imagS)
```
    The second index is 0 for the real part and 1 for the imaginary part.
    
    Parameters:
    
    realS - DOCUMENT ME!
    
    imagS - DOCUMENT ME!
    
    Returns:
    
    DOCUMENT ME!
  - driver
```
public void driver()
```
    driver.
  - getTime
```
public double[] getTime()
```
    getTime.
    
    Returns:
    
    time
  - getTimeFunction
```
public double[] getTimeFunction()
```
    getTimeFunction.
    
    Returns:
    
    timeFunction

Class InverseLaplaceqd

Field Summary

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Field Detail

endTime

largestPole

p

time

timeFunction

tol

tPts

Constructor Detail

InverseLaplaceqd

InverseLaplaceqd

Method Detail

fitToLaplace

driver

getTime

getTimeFunction