Struct rgsl::types::chebyshev::ChebSeries

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pub struct ChebSeries { /* private fields */ }

Implementations

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impl ChebSeries

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pub fn new(n: usize) -> Option<Self>

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pub fn init<F: Fn(f64) -> f64>(&mut self, f: F, a: f64, b: f64) -> Value

This function computes the Chebyshev approximation cs for the function f over the range (a,b) to the previously specified order. The computation of the Chebyshev approximation is an O(n^2) process, and requires n function evaluations.

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pub fn order(&self) -> usize

This function returns the order of Chebyshev series cs.

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pub fn size(&self) -> usize

This function returns the size of the Chebyshev coefficient array c[] for the Chebyshev series cs.

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pub fn eval(&self, x: f64) -> f64

This function evaluates the Chebyshev series cs at a given point x.

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pub fn eval_err(&self, x: f64) -> (Value, f64, f64 )

This function computes the Chebyshev series cs at a given point x, estimating both the series result and its absolute error abserr. The error estimate is made from the first neglected term in the series.

Returns (result, abs_err).

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pub fn eval_n(&self, order: usize, x: f64) -> f64

This function evaluates the Chebyshev series cs at a given point x, to (at most) the given order order.

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pub fn eval_n_err(&self, order: usize, x: f64) -> (Value, f64, f64 )

This function evaluates a Chebyshev series cs at a given point x, estimating both the series result and its absolute error abserr, to (at most) the given order order. The error estimate is made from the first neglected term in the series.

Returns (result, abs_err).

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pub fn calc_deriv(&self, deriv: &mut ChebSeries) -> Value

This function computes the derivative of the series cs, storing the derivative coefficients in the previously allocated deriv. The two series cs and deriv must have been allocated with the same order.

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pub fn calc_integ(&self, integ: &mut ChebSeries) -> Value

This function computes the integral of the series cs, storing the integral coefficients in the previously allocated integ. The two series cs and integ must have been allocated with the same order. The lower limit of the integration is taken to be the left hand end of the range a.