Public Member Functions | List of all members
o2scl::quartic_real Class Referenceabstract

Solve a quartic polynomial with real coefficients and real roots [abstract base]. More...

#include <poly.h>

Inheritance diagram for o2scl::quartic_real:
o2scl::quartic_real_coeff o2scl::quartic_real_gsl o2scl::quartic_real_gsl2 o2scl::quartic_real_simple o2scl::poly_real_coeff o2scl::quartic_complex o2scl::quartic_real_coeff_cern o2scl::poly_real_coeff_gsl o2scl::poly_complex o2scl::quartic_complex_simple

Detailed Description

Definition at line 227 of file poly.h.

Public Member Functions

virtual int solve_r (const double a4, const double b4, const double c4, const double d4, const double e4, double &x1, double &x2, double &x3, double &x4)=0
 Solves the polynomial $ a_4 x^4 + b_4 x^3 + c_4 x^2 + d_4 x + e_4 = 0 $ giving the four solutions $ x=x_1 $ , $ x=x_2 $ , $ x=x_3 $ , and $ x=x_4 $ .
 
virtual double disc_r (const double a, const double b, const double c, const double d, const double e)
 Compute the discriminant. More...
 
const char * type ()
 Return a string denoting the type ("quartic_real")
 

Member Function Documentation

◆ disc_r()

virtual double o2scl::quartic_real::disc_r ( const double  a,
const double  b,
const double  c,
const double  d,
const double  e 
)
virtual

The discriminant is zero if and only if at least two roots are equal. If the discriminant is non-zero, the discriminant is negative if there are two real roots and two complex conjugate roots, and it is positive if the roots are either all real or all non-real.


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

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