ldsgen::detail Namespace Reference

Functions
template<typename T , typename Table >
constexpr auto	vdc_digit_sum (unsigned long n, unsigned long base, const Table &weights) -> T
	Core base-b digit/weight summation shared by all van der Corput generators.

Function Documentation

vdc_digit_sum()

template<typename T , typename Table >

constexpr auto ldsgen::detail::vdc_digit_sum ( unsigned long  n, unsigned long  base, const Table &  weights  ) -> T

constexpr

Core base-b digit/weight summation shared by all van der Corput generators.

Extracts the base-b digits of n (least significant first) and accumulates each digit times its precomputed weight:

\[ \sum_k a_k(n) \cdot \mathrm{weights}[k], \qquad n = \sum_k a_k(n) \, b^k \]

The weights table determines the value type and scaling of the result: reverse powers \(b^{-k-1}\) for the floating-point generators, ascending integer powers for the integer generators.

Template Parameters

T	Accumulator/result type (e.g. double or unsigned long).
Table	Random-access table type (e.g. std::array).

Parameters

[in]	n	The sequence index to evaluate.
[in]	base	The numeric base.
[in]	weights	Precomputed digit weights.

Returns

The weighted digit sum for index n.