allpix::TabulatedPow

Class to pre-calculate powers of a fixed exponent within a defined range. More…

#include <tabulated_pow.h>

Public Functions

Detailed Description

template <size_t S>
class allpix::TabulatedPow;

Class to pre-calculate powers of a fixed exponent within a defined range.

This class implements a tabulated version of x^y where y is fixed and the range of x is known. When instantiating, the range of x, value of y and the binning has to be provided. The exact value of pow(x, y) is calculated for each of the bin boundaries. After construction, the result of x^y can be obtained for every value of x within the defined range using linear interpolation between neighboring bins.

By not clamping the input value x to the pre-calculated range, but only the derived table bins, values at positions outside the defined range are extrapolated linearly from the first and last bin.

Public Functions Documentation

function TabulatedPow

inline TabulatedPow(
    double min,
    double max,
    double y
)

Constructs a new tabulated pow instance.

Parameters:

• min The minimum value for the base
• max The maximum value for the base
• y Fixed value of the exponent

function operator()

inline double operator()(
    double x
) const

Gets the interpolated value of x^y.

Parameters:

• x Value of the base to calculate x^y for.

Return: Interpolated value of x^y

Note: For precise approximation of pow, the provided x has to be within the defined range provided to the constructor. For values outside the specified range, the return value will be a linear extrapolation from the closest tabulated bin.

Updated on 2025-02-27 at 14:14:46 +0000