Class FastSineTransformer
- All Implemented Interfaces:
RealTransformer
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) $
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Constructor Summary
Constructors -
Method Summary
Modifier and TypeMethodDescriptionprotected 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.
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Constructor Details
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FastSineTransformer
public FastSineTransformer()Construct a default transformer.
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Method Details
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transform
Transform the given real data set.The formula is Fn = ∑k=0N-1 fk sin(π nk/N)
- Specified by:
transform
in interfaceRealTransformer
- 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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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 interfaceRealTransformer
- Parameters:
f
- the function to be sampled and transformedmin
- the lower bound for the intervalmax
- the upper bound for the intervaln
- the number of sample points- Returns:
- the real transformed array
- Throws:
FunctionEvaluationException
- if function cannot be evaluated at some pointIllegalArgumentException
- if any parameters are invalid
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transform2
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
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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 transformedmin
- the lower bound for the intervalmax
- the upper bound for the intervaln
- the number of sample points- Returns:
- the real transformed array
- Throws:
FunctionEvaluationException
- if function cannot be evaluated at some pointIllegalArgumentException
- if any parameters are invalid
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inversetransform
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 interfaceRealTransformer
- Parameters:
f
- the real data array to be inversely transformed- Returns:
- the real inversely transformed array
- Throws:
IllegalArgumentException
- if any parameters are invalid
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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 interfaceRealTransformer
- Parameters:
f
- the function to be sampled and inversely transformedmin
- the lower bound for the intervalmax
- the upper bound for the intervaln
- the number of sample points- Returns:
- the real inversely transformed array
- Throws:
FunctionEvaluationException
- if function cannot be evaluated at some pointIllegalArgumentException
- if any parameters are invalid
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inversetransform2
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
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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 transformedmin
- the lower bound for the intervalmax
- the upper bound for the intervaln
- the number of sample points- Returns:
- the real inversely transformed array
- Throws:
FunctionEvaluationException
- if function cannot be evaluated at some pointIllegalArgumentException
- if any parameters are invalid
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fst
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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