public class HermiteInterpolator extends Object implements UnivariateDifferentiableVectorFunction
The interpolation polynomials match all sample points, including both values and provided derivatives. There is one polynomial for each component of the values vector. All polynomials have the same degree. The degree of the polynomials depends on the number of points and number of derivatives at each point. For example the interpolation polynomials for n sample points without any derivatives all have degree n-1. The interpolation polynomials for n sample points with the two extreme points having value and first derivative and the remaining points having value only all have degree n+1. The interpolation polynomial for n sample points with value, first and second derivative for all points all have degree 3n-1.
| Constructor and Description |
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HermiteInterpolator()
Create an empty interpolator.
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| Modifier and Type | Method and Description |
|---|---|
void |
addSamplePoint(double x,
double[]... value)
Add a sample point.
|
PolynomialFunction[] |
getPolynomials()
Compute the interpolation polynomials.
|
DerivativeStructure[] |
value(DerivativeStructure x)
Interpolate value at a specified abscissa.
|
double[] |
value(double x)
Interpolate value at a specified abscissa.
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public void addSamplePoint(double x,
double[]... value)
throws ZeroException,
MathArithmeticException
This method must be called once for each sample point. It is allowed to mix some calls with values only with calls with values and first derivatives.
The point abscissae for all calls must be different.
x - abscissa of the sample pointvalue - value and derivatives of the sample point
(if only one row is passed, it is the value, if two rows are
passed the first one is the value and the second the derivative
and so on)ZeroException - if the abscissa difference between added point
and a previous point is zero (i.e. the two points are at same abscissa)MathArithmeticException - if the number of derivatives is larger
than 20, which prevents computation of a factorialpublic PolynomialFunction[] getPolynomials() throws NoDataException
NoDataException - if sample is emptypublic double[] value(double x)
throws NoDataException
Calling this method is equivalent to call the value methods of all polynomials returned by getPolynomials,
except it does not build the intermediate polynomials, so this method is faster and
numerically more stable.
value in interface UnivariateVectorFunctionx - interpolation abscissaNoDataException - if sample is emptypublic DerivativeStructure[] value(DerivativeStructure x) throws NoDataException
Calling this method is equivalent to call the value methods of all polynomials
returned by getPolynomials, except it does not build the
intermediate polynomials, so this method is faster and numerically more stable.
value in interface UnivariateDifferentiableVectorFunctionx - interpolation abscissaNoDataException - if sample is emptyCopyright © 2003–2016 The Apache Software Foundation. All rights reserved.