Complex log-gamma helpers for Riemann zeta/xi evaluation. More...

#include <stddef.h>
#include "oakfield/field.h"

Include dependency graph for loggamma.h:

Classes
struct	SimLogGammaResult
	Principal log-gamma value with error estimate and diagnostic metadata. More...

Macros
#define	SIM_LOG_GAMMA_FLAG_USED_REFLECTION 0x1u

Typedefs
typedef enum SimLogGammaStatus	SimLogGammaStatus
	Status values returned by complex log-gamma evaluators.

typedef struct SimLogGammaResult	SimLogGammaResult
	Principal log-gamma value with error estimate and diagnostic metadata.

Enumerations
enum	SimLogGammaStatus { SIM_LOG_GAMMA_STATUS_OK = 0 , SIM_LOG_GAMMA_STATUS_SINGULAR , SIM_LOG_GAMMA_STATUS_INVALID_ARGUMENT , SIM_LOG_GAMMA_STATUS_NUMERIC_FAILURE }
	Status values returned by complex log-gamma evaluators. More...

Functions
const char *	sim_log_gamma_status_string (SimLogGammaStatus status)
	Human-readable description of a log-gamma status value.

SimLogGammaResult	sim_log_gamma_eval (SimComplexDouble z)
	Evaluate the principal-branch complex log-gamma function.

SimComplexDouble	sim_log_gamma_value (SimComplexDouble z)
	Convenience wrapper returning only the complex log-gamma value.

Detailed Description

Complex log-gamma helpers for Riemann zeta/xi evaluation.

Enumeration Type Documentation

Status values returned by complex log-gamma evaluators.

Enumerator
SIM_LOG_GAMMA_STATUS_OK	Evaluation completed successfully.
SIM_LOG_GAMMA_STATUS_SINGULAR	Argument lies on a log-gamma singularity.
SIM_LOG_GAMMA_STATUS_INVALID_ARGUMENT	Input argument or output pointer was invalid.
SIM_LOG_GAMMA_STATUS_NUMERIC_FAILURE	Evaluation produced an unstable numeric result.

SimLogGammaResult sim_log_gamma_eval ( SimComplexDouble z )

Evaluate the principal-branch complex log-gamma function.

Parameters

z	Complex argument.

Returns: Structured value, error estimate, status, and implementation flags.

const char * sim_log_gamma_status_string ( SimLogGammaStatus status )

Human-readable description of a log-gamma status value.

Parameters

status Status returned by log-gamma evaluators.

SimComplexDouble sim_log_gamma_value ( SimComplexDouble z )

Convenience wrapper returning only the complex log-gamma value.

On failure both components are returned as NaN.

Parameters

z	Complex argument.