Interpolation is a method of constructing new data from a given set of data points. In polynomial interpolation, we use a polynomial function to approximate a set of data points. Here is how you can implement polynomial interpolation in JavaScript:
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In this example, we first define a function calculateCoefficients
that takes an array of x-values and a corresponding array of y-values, and returns the coefficients of the interpolating polynomial using the Lagrange formula. We then define a function evaluatePolynomial
that takes a value of x and the coefficients of the interpolating polynomial, and returns the corresponding value of y.
To use these functions, you simply need to provide an array of x-values and a corresponding array of y-values, and then call calculateCoefficients
to compute the coefficients of the interpolating polynomial. You can then call evaluatePolynomial
to evaluate the interpolating polynomial at any point.
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