ldsgen Namespace Reference

Namespaces
namespace	detail

Classes
class	Circle
	Circle sequence generator. More...
class	Disk
	Disk sequence generator. More...
class	GeneratorBase
	CRTP base implementing the sequence generator protocol. More...
class	GeneratorIterable
	CRTP mixin adding STL iterator support to a GeneratorBase. More...
class	GeneratorIterator
	Forward iterator for sequence generators. More...
class	Halton
	Halton sequence generator. More...
class	HaltonN
	Halton(n) sequence generator. More...
class	Sphere
	Sphere sequence generator. More...
class	Sphere3
	3-Sphere sequence generator (standalone, returns std::array). More...
class	Sphere3Hopf
	S(3) sequence generator by Hopf fibration. More...
class	SphereGen
	Base class for sphere generators. More...
class	SphereN
	N-dimensional sphere sequence generator. More...
class	SphereWrapper
	Wrapper class to make Sphere compatible with SphereGen interface. More...
class	VdCorput
	Van der Corput sequence generator. More...

Concepts
concept	SequenceGenerator
	Concept for the sequence generator protocol.

Functions
constexpr auto	vdc (unsigned long count, unsigned long base) -> double
	Van der Corput sequence.
unsigned long	dummy (unsigned int index)
	Dummy function (placeholder, not yet implemented).
void	log_with_spdlog (const std::string &message)
	Log a message using spdlog.
std::vector< double >	linspace (double start, double stop, unsigned int num)
	Generate evenly spaced numbers over a specified interval.
double	simple_interp (double x_value, std::span< const double > x_points, std::span< const double > y_points)
	Perform one-dimensional linear interpolation.
std::vector< double >	get_tp (unsigned int n)
	Compute Tp(n) recurrence for sphere mapping.

Variables
constexpr const auto	TWO_PI = 2.0 * M_PI
constexpr unsigned int	MAX_REVERSE_BITS = 64
constexpr double	MAPPING_FACTOR = 2.0
constexpr double	PI = M_PI
constexpr double	HALF_PI = M_PI / 2.0
constexpr std::size_t	TABLE_SIZE = 300
	Number of interpolation points for sphere mapping tables.
const std::array< double, TABLE_SIZE >	X
	Precomputed interpolation tables (static storage, no heap)
const std::array< double, TABLE_SIZE >	NEG_COSINE
const std::array< double, TABLE_SIZE >	SINE
const std::array< double, TABLE_SIZE >	F2

Function Documentation

dummy()

unsigned long ldsgen::dummy ( unsigned int  index )

extern

Dummy function (placeholder, not yet implemented).

Parameters

[in]

index

The input index.

Returns

The result of the dummy operation.

get_tp()

std::vector< double > ldsgen::get_tp

(

unsigned int

n

)

Compute Tp(n) recurrence for sphere mapping.

Parameters

n	The recurrence index.

Returns

Vector of TABLE_SIZE interpolated values.

linspace()

std::vector< double > ldsgen::linspace	(	double	start,
		double	stop,
		unsigned int	num
	)

Generate evenly spaced numbers over a specified interval.

log_with_spdlog()

void ldsgen::log_with_spdlog

(

const std::string &

message

)

Log a message using spdlog.

This function provides a simple wrapper around spdlog for logging messages. It creates a file logger that writes to "ldsgen.log" and logs at the info level.

Parameters

message

The message to log

simple_interp()

double ldsgen::simple_interp	(	double	x_value,
		std::span< const double >	x_points,
		std::span< const double >	y_points
	)

Perform one-dimensional linear interpolation.

vdc()

constexpr auto ldsgen::vdc ( unsigned long  count, unsigned long  base  ) -> double

constexpr

Van der Corput sequence.

The vdc function is calculating the Van der Corput sequence value for a given index count and base base. It returns a double value.

*     Base 2 Example:
*     count=1 -> 0.5  (0.1 in base 2)
*     count=2 -> 0.25 (0.01 in base 2)
*     count=3 -> 0.75 (0.11 in base 2)
*     count=4 -> 0.125(0.001 in base 2)
* 

Parameters

[in]	count	index of the sequence
[in]	base	base of the sequence

Returns

double

Variable Documentation

F2

const std::array<double, TABLE_SIZE> ldsgen::F2

extern

HALF_PI

constexpr double ldsgen::HALF_PI = M_PI / 2.0

constexpr

MAPPING_FACTOR

constexpr double ldsgen::MAPPING_FACTOR = 2.0

constexpr

MAX_REVERSE_BITS

constexpr unsigned int ldsgen::MAX_REVERSE_BITS = 64

constexpr

NEG_COSINE

const std::array<double, TABLE_SIZE> ldsgen::NEG_COSINE

extern

PI

constexpr double ldsgen::PI = M_PI

constexpr

SINE

const std::array<double, TABLE_SIZE> ldsgen::SINE

extern

TABLE_SIZE

constexpr std::size_t ldsgen::TABLE_SIZE = 300

constexpr

Number of interpolation points for sphere mapping tables.

TWO_PI

constexpr const auto ldsgen::TWO_PI = 2.0 * M_PI

constexpr

X

const std::array<double, TABLE_SIZE> ldsgen::X

extern

Precomputed interpolation tables (static storage, no heap)