Evaluate a function by interpolating within the given dataset. For example:

>>> let xs = [1..10]
>>> let ys map (**2) [1..10]
>>> evaluate Akima (zip xs ys) 2.2
4.840000000000001

To successfully evaluate points x, the domain (x) values in points must be monotonically increasing. The evaluation point x must lie between the smallest and largest values in the sampled domain.

Evaluate a function by interpolating within the given dataset. For example:

>>> let xs = vector [1..10]
>>> let ys = vector $ map (**2) [1..10]
>>> evaluateV CSpline xs ys 2.2
4.818867924528303

To successfully evaluateV xs ys x, the vectors of corresponding domain-range values xs and ys must have identical lengths, and xs must be monotonically increasing. The evaluation point x must lie between the smallest and largest values in xs.

Evaluate the derivative of a function by interpolating within the given dataset. For example:

>>> let xs = [1..10]
>>> let ys map (**2) [1..10]
>>> evaluateDerivative Akima (zip xs ys) 2.2
4.4

To successfully evaluateDerivative points x, the domain (x) values in points must be monotonically increasing. The evaluation point x must lie between the smallest and largest values in the sampled domain.

Evaluate the second derivative of a function by interpolating within the given dataset. For example:

>>> let xs = [1..10]
>>> let ys map (**2) [1..10]
>>> evaluateDerivative2 Akima (zip xs ys) 2.2
2.0

To successfully evaluateDerivative2 points x, the domain (x) values in points must be monotonically increasing. The evaluation point x must lie between the smallest and largest values in the sampled domain.

Evaluate the derivative of a function by interpolating within the given dataset. For example:

>>> let xs = vector [1..10]
>>> let ys = vector $ map (**2) [1..10]
>>> evaluateDerivativeV CSpline xs ys 2.2
4.338867924528302

To successfully evaluateDerivativeV xs ys x, the vectors of corresponding domain-range values xs and ys must have identical lengths, and xs must be monotonically increasing. The interpolation point x must lie between the smallest and largest values in xs.

Evaluate the second derivative of a function by interpolating within the given dataset. For example:

>>> let xs = vector [1..10]
>>> let ys = vector $ map (**2) [1..10]
>>> evaluateDerivative2V CSpline xs ys 2.2
2.4

To successfully evaluateDerivative2V xs ys x, the vectors xs and ys must have identical lengths, and xs must be monotonically increasing. The evaluation point x must lie between the smallest and largest values in xs.

Evaluate the definite integral of a function by interpolating within the given dataset. For example:

>>> let xs = [1..10]
>>> let ys = map (**2) [1..10]
>>> evaluateIntegralV CSpline (zip xs ys) (2.2, 5.5)
51.909

To successfully evaluateIntegral points (a, b), the domain (x) values of points must be monotonically increasing. The integration bounds a and b must lie between the smallest and largest values in the sampled domain..

Evaluate the definite integral of a function by interpolating within the given dataset. For example:

>>> let xs = vector [1..10]
>>> let ys = vector $ map (**2) [1..10]
>>> evaluateIntegralV CSpline xs ys 2.2 5.5
51.89853207547169

To successfully evaluateIntegralV xs ys a b, the vectors xs and ys must have identical lengths, and xs must be monotonically increasing. The integration bounds a and b must lie between the smallest and largest values in xs.