# HermitePolynomialApproximation

An `InterpolationAlgorithm` for performing Hermite interpolation.

### Methods

#### staticHermitePolynomialApproximation.getRequiredDataPoints(degree, inputOrder)

Given the desired degree, returns the number of data points required for interpolation.
Name Type Default Description
`degree` Number The desired degree of interpolation.
`inputOrder` Number `0` optional The order of the inputs (0 means just the data, 1 means the data and its derivative, etc).
##### Returns:
The number of required data points needed for the desired degree of interpolation.

#### staticHermitePolynomialApproximation.interpolate(x, xTable, yTable, yStride, inputOrder, outputOrder, result) → Array.<Number>

Interpolates values using Hermite Polynomial Approximation.
Name Type Description
`x` Number The independent variable for which the dependent variables will be interpolated.
`xTable` Array.<Number> The array of independent variables to use to interpolate. The values in this array must be in increasing order and the same value must not occur twice in the array.
`yTable` Array.<Number> The array of dependent variables to use to interpolate. For a set of three dependent values (p,q,w) at time 1 and time 2 this should be as follows: {p1, q1, w1, p2, q2, w2}.
`yStride` Number The number of dependent variable values in yTable corresponding to each independent variable value in xTable.
`inputOrder` Number The number of derivatives supplied for input.
`outputOrder` Number The number of derivatives desired for output.
`result` Array.<Number> optional An existing array into which to store the result.
##### Returns:
The array of interpolated values, or the result parameter if one was provided.

#### staticHermitePolynomialApproximation.interpolateOrderZero(x, xTable, yTable, yStride, result) → Array.<Number>

Interpolates values using Hermite Polynomial Approximation.
Name Type Description
`x` Number The independent variable for which the dependent variables will be interpolated.
`xTable` Array.<Number> The array of independent variables to use to interpolate. The values in this array must be in increasing order and the same value must not occur twice in the array.
`yTable` Array.<Number> The array of dependent variables to use to interpolate. For a set of three dependent values (p,q,w) at time 1 and time 2 this should be as follows: {p1, q1, w1, p2, q2, w2}.
`yStride` Number The number of dependent variable values in yTable corresponding to each independent variable value in xTable.
`result` Array.<Number> optional An existing array into which to store the result.
##### Returns:
The array of interpolated values, or the result parameter if one was provided.