mumech::legendreIntegrals Class Reference

Class legendreIntegrals provides functions calculating values of elliptical integrals. More...

#include <legendreIntegrals.h>

Public Member Functions
	legendreIntegrals ()
	Constructor. More...
virtual	~legendreIntegrals ()
	Destructor. More...

Static Public Member Functions
static double	ellf (double phi, double ak)
	Function calculating the Legendre's integral of the first kind - numerical recepies. More...
static double	elle (double phi, double ak)
	Function calculating the Legendre's integral of the seccond kind - numerical recepies. More...
static double	ellpi (double phi, double en, double ak)
	Function calculating the Legendre's integral of the third kind - numerical recepies. More...

Static Protected Member Functions
static double	rf (double x, double y, double z)
	Solution of Carlson's integral of the first kind - numerical recepies. More...
static double	rd (double x, double y, double z)
	Solution of Carlson's integral of the seccond kind - numerical recepies. More...
static double	rj (double x, double y, double z, double p)
	Solution of Carlson's integral of the third kind - numerical recepies. More...
static double	rc (double x, double y)
	Solution of Carlson's degenerate elliptic integral - numerical recepies. More...

Detailed Description

Class legendreIntegrals provides functions calculating values of elliptical integrals.

Definition at line 38 of file legendreIntegrals.h.

Constructor & Destructor Documentation

mumech::legendreIntegrals::legendreIntegrals ( )

inline

Constructor.

Definition at line 42 of file legendreIntegrals.h.

virtual mumech::legendreIntegrals::~legendreIntegrals ( )

inlinevirtual

Destructor.

Definition at line 44 of file legendreIntegrals.h.

References elle(), ellf(), ellpi(), rc(), rd(), rf(), and rj().

Member Function Documentation

double mumech::legendreIntegrals::elle ( double  phi, double  ak  )

static

Function calculating the Legendre's integral of the seccond kind - numerical recepies.

Definition at line 63 of file legendreIntegrals.cpp.

References rd(), rf(), and SQR.

Referenced by mumech::eshelbySoluEllipticIntegralsEllipsoid::I1(), mumech::eshelbySoluEllipticIntegralsEllipsoid::I3(), and ~legendreIntegrals().

double mumech::legendreIntegrals::ellf ( double  phi, double  ak  )

static

Function calculating the Legendre's integral of the first kind - numerical recepies.

Definition at line 49 of file legendreIntegrals.cpp.

References rf(), and SQR.

Referenced by mumech::eshelbySoluEllipticIntegralsOblateSpheroid::eI(), mumech::eshelbySoluEllipticIntegralsProlateSpheroid::eI(), mumech::eshelbySoluEllipticIntegralsEllipsoid::eI(), mumech::eshelbySoluEllipticIntegralsEllipsoid::I1(), and ~legendreIntegrals().

double mumech::legendreIntegrals::ellpi ( double  phi, double  en, double  ak  )

static

Function calculating the Legendre's integral of the third kind - numerical recepies.

Definition at line 81 of file legendreIntegrals.cpp.

References rf(), rj(), and SQR.

Referenced by ~legendreIntegrals().

double mumech::legendreIntegrals::rc ( double  x, double  y  )

staticprotected

Solution of Carlson's degenerate elliptic integral - numerical recepies.

Definition at line 344 of file legendreIntegrals.cpp.

References _errorr, ABS, RC_BIG, RC_C1, RC_C2, RC_C3, RC_C4, RC_COMP2, RC_ERRTOL, RC_THIRD, and RC_TINY.

Referenced by rj(), and ~legendreIntegrals().

double mumech::legendreIntegrals::rd ( double  x, double  y, double  z  )

staticprotected

Solution of Carlson's integral of the seccond kind - numerical recepies.

Definition at line 173 of file legendreIntegrals.cpp.

References _errorr, ABS, MAX, MIN, RD_BIG, RD_C1, RD_C2, RD_C3, RD_C4, RD_C5, RD_C6, RD_ERRTOL, and RD_TINY.

Referenced by elle(), and ~legendreIntegrals().

double mumech::legendreIntegrals::rf ( double  x, double  y, double  z  )

staticprotected

Solution of Carlson's integral of the first kind - numerical recepies.

Definition at line 117 of file legendreIntegrals.cpp.

References _errorr1, ABS, MAX, MIN, RF_BIG, RF_C1, RF_C2, RF_C3, RF_C4, RF_ERRTOL, RF_THIRD, and RF_TINY.

Referenced by elle(), ellf(), ellpi(), rj(), and ~legendreIntegrals().

double mumech::legendreIntegrals::rj ( double  x, double  y, double  z, double  p  )

staticprotected

Solution of Carlson's integral of the third kind - numerical recepies.

Definition at line 238 of file legendreIntegrals.cpp.

References _errorr, ABS, MAX, MIN, rc(), rf(), RJ_BIG, RJ_C1, RJ_C2, RJ_C3, RJ_C4, RJ_C5, RJ_C6, RJ_C7, RJ_C8, RJ_ERRTOL, RJ_TINY, and SQR.

Referenced by ellpi(), and ~legendreIntegrals().

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The documentation for this class was generated from the following files:

• /home/termit/CVUT/GRANT_micromechanics/muMECH/src/libmumech/legendreIntegrals.h
• /home/termit/CVUT/GRANT_micromechanics/muMECH/src/libmumech/legendreIntegrals.cpp