## org.apache.commons.math.transform
Class FastSineTransformer

    java.lang.Object
      org.apache.commons.math.transform.FastSineTransformer

All Implemented Interfaces:
  RealTransformer

    public class FastSineTransformer

extends Object
implements RealTransformer

Implements the Fast Sine Transform for transformation of one-dimensional data sets. For reference, see Fast Fourier Transforms, ISBN 0849371635, chapter 3.

FST is its own inverse, up to a multiplier depending on conventions. The equations are listed in the comments of the corresponding methods.

Similar to FFT, we also require the length of data set to be power of 2. In addition, the first element must be 0 and it's enforced in function transformation after sampling.

As of version 2.0 this no longer implements Serializable

Since:
  1.2
Version:
  $Revision: 1070725 $ $Date: 2011-02-15 02:31:12 +0100 (mar. 15 févr. 2011) $

Constructor Summary
`FastSineTransformer()` Construct a default transformer.

Method Summary
`protected double[]` `fst(double[] f)` Perform the FST algorithm (including inverse).
`double[]` `inversetransform(double[] f)` Inversely transform the given real data set.
`double[]` `inversetransform(UnivariateRealFunction f, double min, double max, int n)` Inversely transform the given real function, sampled on the given interval.
`double[]` `inversetransform2(double[] f)` Inversely transform the given real data set.
`double[]` `inversetransform2(UnivariateRealFunction f, double min, double max, int n)` Inversely transform the given real function, sampled on the given interval.
`double[]` `transform(double[] f)` Transform the given real data set.
`double[]` `transform(UnivariateRealFunction f, double min, double max, int n)` Transform the given real function, sampled on the given interval.
`double[]` `transform2(double[] f)` Transform the given real data set.
`double[]` `transform2(UnivariateRealFunction f, double min, double max, int n)` Transform the given real function, sampled on the given interval.

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

Constructor Detail

### FastSineTransformer

    public FastSineTransformer()

  Construct a default transformer.

Method Detail

### transform

    public double[] transform(double[] f)
                       throws IllegalArgumentException

  Transform the given real data set.

  The formula is Fn = ∑k=0N-1 fk sin(π nk/N)

  Specified by:
    `transform` in interface `RealTransformer`
  Parameters:
    `f` - the real data array to be transformed
  Returns:
    the real transformed array
  Throws:
    `IllegalArgumentException` - if any parameters are invalid

### transform

    public double[] transform(UnivariateRealFunction f,
                              double min,
                              double max,
                              int n)
                       throws FunctionEvaluationException,
                              IllegalArgumentException

  Transform the given real function, sampled on the given interval.

  The formula is Fn = ∑k=0N-1 fk sin(π nk/N)

  Specified by:
    `transform` in interface `RealTransformer`
  Parameters:
    `f` - the function to be sampled and transformed
    `min` - the lower bound for the interval
    `max` - the upper bound for the interval
    `n` - the number of sample points
  Returns:
    the real transformed array
  Throws:
    `FunctionEvaluationException` - if function cannot be evaluated at some point
    `IllegalArgumentException` - if any parameters are invalid

### transform2

    public double[] transform2(double[] f)
                        throws IllegalArgumentException

  Transform the given real data set.

  The formula is Fn = √(2/N) ∑k=0N-1 fk sin(π nk/N)

  Parameters:
    `f` - the real data array to be transformed
  Returns:
    the real transformed array
  Throws:
    `IllegalArgumentException` - if any parameters are invalid

### transform2

    public double[] transform2(UnivariateRealFunction f,
                               double min,
                               double max,
                               int n)
                        throws FunctionEvaluationException,
                               IllegalArgumentException

  Transform the given real function, sampled on the given interval.

  The formula is Fn = √(2/N) ∑k=0N-1 fk sin(π nk/N)

  Parameters:
    `f` - the function to be sampled and transformed
    `min` - the lower bound for the interval
    `max` - the upper bound for the interval
    `n` - the number of sample points
  Returns:
    the real transformed array
  Throws:
    `FunctionEvaluationException` - if function cannot be evaluated at some point
    `IllegalArgumentException` - if any parameters are invalid

### inversetransform

    public double[] inversetransform(double[] f)
                              throws IllegalArgumentException

  Inversely transform the given real data set.

  The formula is fk = (2/N) ∑n=0N-1 Fn sin(π nk/N)

  Specified by:
    `inversetransform` in interface `RealTransformer`
  Parameters:
    `f` - the real data array to be inversely transformed
  Returns:
    the real inversely transformed array
  Throws:
    `IllegalArgumentException` - if any parameters are invalid

### inversetransform

    public double[] inversetransform(UnivariateRealFunction f,
                                     double min,
                                     double max,
                                     int n)
                              throws FunctionEvaluationException,
                                     IllegalArgumentException

  Inversely transform the given real function, sampled on the given interval.

  The formula is fk = (2/N) ∑n=0N-1 Fn sin(π nk/N)

  Specified by:
    `inversetransform` in interface `RealTransformer`
  Parameters:
    `f` - the function to be sampled and inversely transformed
    `min` - the lower bound for the interval
    `max` - the upper bound for the interval
    `n` - the number of sample points
  Returns:
    the real inversely transformed array
  Throws:
    `FunctionEvaluationException` - if function cannot be evaluated at some point
    `IllegalArgumentException` - if any parameters are invalid

### inversetransform2

    public double[] inversetransform2(double[] f)
                               throws IllegalArgumentException

  Inversely transform the given real data set.

  The formula is fk = √(2/N) ∑n=0N-1 Fn sin(π nk/N)

  Parameters:
    `f` - the real data array to be inversely transformed
  Returns:
    the real inversely transformed array
  Throws:
    `IllegalArgumentException` - if any parameters are invalid

### inversetransform2

    public double[] inversetransform2(UnivariateRealFunction f,
                                      double min,
                                      double max,
                                      int n)
                               throws FunctionEvaluationException,
                                      IllegalArgumentException

  Inversely transform the given real function, sampled on the given interval.

  The formula is fk = √(2/N) ∑n=0N-1 Fn sin(π nk/N)

  Parameters:
    `f` - the function to be sampled and inversely transformed
    `min` - the lower bound for the interval
    `max` - the upper bound for the interval
    `n` - the number of sample points
  Returns:
    the real inversely transformed array
  Throws:
    `FunctionEvaluationException` - if function cannot be evaluated at some point
    `IllegalArgumentException` - if any parameters are invalid

### fst

    protected double[] fst(double[] f)
                    throws IllegalArgumentException

  Perform the FST algorithm (including inverse).

  Parameters:
    `f` - the real data array to be transformed
  Returns:
    the real transformed array
  Throws:
    `IllegalArgumentException` - if any parameters are invalid

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