Auxiliary class to find solution(s) to $z$ of the square root expression: More...

#include <JPDF.hh>

Public Member Functions
	JRoot (const double R, const double n, const double t)
	Determine solution(s) of quadratic equation. More...

double	operator[] (const int i) const
	Get result by index. More...

Public Attributes
bool	is_valid
	validity of solutions More...

double	first
	most upstream solution More...

double	second
	most downstream solution More...

Detailed Description

Auxiliary class to find solution(s) to $z$ of the square root expression:

$\begin{eqnarray*} ct(z=0) & = & z + n \sqrt(z^2 + R^2) \end{eqnarray*}$

where $n = 1/\cos(\theta_{c})$ is the index of refraction.

Definition at line 1793 of file JPDF.hh.

Constructor & Destructor Documentation

◆ JRoot()

JPHYSICS::JPDF::JRoot::JRoot	(	const double	R,
		const double	n,
		const double	t
	)

inline

Determine solution(s) of quadratic equation.

Parameters

R	minimal distance of approach [m]
n	index of refraction
t	time at z = 0 [ns]

Definition at line 1802 of file JPDF.hh.

                             :
         is_valid(false),
         first (0.0),
         second(0.0)
       {
         using JTOOLS::C;
  
         const double a  =  n*n        -  1.0;
         const double b  =  2*C*t;
         const double c  =  R*n * R*n  -  C*t * C*t;
         
         const double q  =  b*b - 4*a*c;
                 
         if (q >= 0.0) {
  
           first    = (-b - sqrt(q)) / (2*a);
           second   = (-b + sqrt(q)) / (2*a);
  
           is_valid =  C*t > second;
         }
       }

Member Function Documentation

◆ operator[]()

double JPHYSICS::JPDF::JRoot::operator[] ( const int i ) const

inline

Get result by index.

Parameters

i	index (0 or 1)

Returns: i == 0, first; i == 1, second; else throws exception

Definition at line 1833 of file JPDF.hh.

       {
         switch (i) {
  
         case 0:
           return first;
           
         case 1:
           return second;
           
         default:
           throw JException("JRoot::operator[] invalid index");
         }
       }

Member Data Documentation

◆ is_valid

bool JPHYSICS::JPDF::JRoot::is_valid

validity of solutions

Definition at line 1848 of file JPDF.hh.

◆ first

double JPHYSICS::JPDF::JRoot::first

most upstream solution

Definition at line 1849 of file JPDF.hh.

◆ second

double JPHYSICS::JPDF::JRoot::second

most downstream solution

Definition at line 1850 of file JPDF.hh.

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

JPDF.hh

Public Member Functions

Public Attributes