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fresnel.cpp File Reference
#include "base-precomp.h"
#include <mrpt/math/fresnel.h>
#include <cmath>
#include <cfloat>
Include dependency graph for fresnel.cpp:

Go to the source code of this file.

Macros

#define NUM_ASYMPTOTIC_TERMS   35
 
#define NUM_ASYMPTOTIC_TERMS   35
 

Functions

static long double Power_Series_S (long double x)
 
static long double xFresnel_Auxiliary_Cosine_Integral (long double x)
 
static long double xFresnel_Auxiliary_Sine_Integral (long double x)
 
static long double Power_Series_C (long double x)
 
static long double xChebyshev_Tn_Series (long double x, const long double a[], int degree)
 
long double lfresnel_sin_alt (long double x)
 
long double lfresnel_cos_alt (long double x)
 
double Fresnel_Sine_Integral (double x)
 
long double xFresnel_Sine_Integral (long double x)
 
double Fresnel_Auxiliary_Sine_Integral (double x)
 
static long double sin_Chebyshev_Expansion_0_1 (long double x)
 
static long double sin_Chebyshev_Expansion_1_3 (long double x)
 
static long double sin_Chebyshev_Expansion_3_5 (long double x)
 
static long double sin_Chebyshev_Expansion_5_7 (long double x)
 
static long double sin_Asymptotic_Series (long double x)
 
double Fresnel_Auxiliary_Cosine_Integral (double x)
 
static long double cos_Chebyshev_Expansion_0_1 (long double x)
 
static long double cos_Chebyshev_Expansion_1_3 (long double x)
 
static long double cos_Chebyshev_Expansion_3_5 (long double x)
 
static long double cos_Chebyshev_Expansion_5_7 (long double x)
 
static long double cos_Asymptotic_Series (long double x)
 
double Fresnel_Cosine_Integral (double x)
 
long double xFresnel_Cosine_Integral (long double x)
 

Variables

static long double const sqrt_2pi = 2.506628274631000502415765284811045253006L
 

Macro Definition Documentation

#define NUM_ASYMPTOTIC_TERMS   35

Definition at line 1007 of file fresnel.cpp.

Referenced by cos_Asymptotic_Series(), and sin_Asymptotic_Series().

#define NUM_ASYMPTOTIC_TERMS   35

Definition at line 1007 of file fresnel.cpp.

Function Documentation

static long double cos_Asymptotic_Series ( long double  x)
static

Definition at line 1008 of file fresnel.cpp.

References mrpt::math::factorial(), NUM_ASYMPTOTIC_TERMS, and sqrt_2pi.

Referenced by xFresnel_Auxiliary_Cosine_Integral().

static long double cos_Chebyshev_Expansion_0_1 ( long double  x)
static

Definition at line 818 of file fresnel.cpp.

References xChebyshev_Tn_Series().

Referenced by xFresnel_Auxiliary_Cosine_Integral().

static long double cos_Chebyshev_Expansion_1_3 ( long double  x)
static

Definition at line 865 of file fresnel.cpp.

References xChebyshev_Tn_Series().

Referenced by xFresnel_Auxiliary_Cosine_Integral().

static long double cos_Chebyshev_Expansion_3_5 ( long double  x)
static

Definition at line 914 of file fresnel.cpp.

References xChebyshev_Tn_Series().

Referenced by xFresnel_Auxiliary_Cosine_Integral().

static long double cos_Chebyshev_Expansion_5_7 ( long double  x)
static

Definition at line 960 of file fresnel.cpp.

References xChebyshev_Tn_Series().

Referenced by xFresnel_Auxiliary_Cosine_Integral().

double Fresnel_Auxiliary_Cosine_Integral ( double  x)

Definition at line 558 of file fresnel.cpp.

References xFresnel_Auxiliary_Cosine_Integral().

double Fresnel_Auxiliary_Sine_Integral ( double  x)

Definition at line 234 of file fresnel.cpp.

References xFresnel_Auxiliary_Sine_Integral().

double Fresnel_Cosine_Integral ( double  x)

Definition at line 633 of file fresnel.cpp.

References xFresnel_Cosine_Integral().

double Fresnel_Sine_Integral ( double  x)

Definition at line 104 of file fresnel.cpp.

References xFresnel_Sine_Integral().

long double lfresnel_cos_alt ( long double  x)
long double lfresnel_sin_alt ( long double  x)
static long double Power_Series_C ( long double  x)
static

Definition at line 702 of file fresnel.cpp.

References mrpt::math::factorial().

Referenced by lfresnel_cos_alt(), and xFresnel_Cosine_Integral().

static long double Power_Series_S ( long double  x)
static

Definition at line 172 of file fresnel.cpp.

References mrpt::math::factorial().

Referenced by lfresnel_sin_alt(), and xFresnel_Sine_Integral().

static long double sin_Asymptotic_Series ( long double  x)
static

Definition at line 498 of file fresnel.cpp.

References mrpt::math::factorial(), NUM_ASYMPTOTIC_TERMS, and sqrt_2pi.

Referenced by xFresnel_Auxiliary_Sine_Integral().

static long double sin_Chebyshev_Expansion_0_1 ( long double  x)
static

Definition at line 306 of file fresnel.cpp.

References xChebyshev_Tn_Series().

Referenced by xFresnel_Auxiliary_Sine_Integral().

static long double sin_Chebyshev_Expansion_1_3 ( long double  x)
static

Definition at line 353 of file fresnel.cpp.

References xChebyshev_Tn_Series().

Referenced by xFresnel_Auxiliary_Sine_Integral().

static long double sin_Chebyshev_Expansion_3_5 ( long double  x)
static

Definition at line 402 of file fresnel.cpp.

References xChebyshev_Tn_Series().

Referenced by xFresnel_Auxiliary_Sine_Integral().

static long double sin_Chebyshev_Expansion_5_7 ( long double  x)
static

Definition at line 449 of file fresnel.cpp.

References xChebyshev_Tn_Series().

Referenced by xFresnel_Auxiliary_Sine_Integral().

static long double xChebyshev_Tn_Series ( long double  x,
const long double  a[],
int  degree 
)
static
long double xFresnel_Auxiliary_Cosine_Integral ( long double  x)
static
long double xFresnel_Auxiliary_Sine_Integral ( long double  x)
static
long double xFresnel_Cosine_Integral ( long double  x)
long double xFresnel_Sine_Integral ( long double  x)

Variable Documentation

long double const sqrt_2pi = 2.506628274631000502415765284811045253006L
static

Definition at line 207 of file fresnel.cpp.

Referenced by cos_Asymptotic_Series(), and sin_Asymptotic_Series().




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