radical_inverse.h File Reference

#include "Math/math.h"
#include <Common/assertion.h>
#include <concepts>
#include <type_traits>
#include <climits>
#include <limits>

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Namespaces
namespace	ph
	The root for all renderer implementations.
namespace	ph::math
	Math functions and utilities.
namespace	ph::math::radical_inverse_detail

Functions
template<std::integral Value, std::integral Base>
constexpr Value	ph::math::radical_inverse_detail::reverse_limit (const Value nextDigit, const Base base)
	The max value x such that x * base + nextDigit will not overflow its type.
template<std::floating_point Result, std::integral Base>
constexpr auto	ph::math::radical_inverse_detail::num_meaningful_digits (const Base base)
	Number of reversed digits that will have effect on the type Result. Due to the limited precision of floating-point types, only a limited number of digits may have an effect on the final radical inversed value.
template<std::floating_point Result, std::unsigned_integral Value>
constexpr Result	ph::math::radical_inverse_detail::base_2_scaler ()
template<auto BASE, std::floating_point Result, std::integral Value>
Result	ph::math::radical_inverse (const Value value)
	Compute radical inverse of a value.
template<auto BASE, std::floating_point Result, std::integral Value, typename DigitPermuter >
Result	ph::math::radical_inverse_permuted (const Value dimIndex, const Value value, DigitPermuter permuter)
	Same as radical_inverse(), with permutation ability. It is guaranteed that no more than radical_inverse_detail::num_meaningful_digits() digits will be processed during the radical inverse.