Class quartic_real_gsl (o2scl)

O2scl : Class List

class o2scl::quartic_real_gsl : public o2scl::quartic_real

Solve a quartic with real coefficients and real roots (GSL)

This class internally uses the GSL functions to solve the resolvent cubic and associated quadratics, while quartic_real_gsl2 contains explicit code to solve them instead.

Idea for Future:

Optimize value of cube_root_tol and compare more clearly to o2scl::quartic_real_gsl2

Public Functions

quartic_real_gsl()
~quartic_real_gsl()
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)

Solves the polynomial \( a_4 x^4 + b_4 x^3 + c_4 x^2 + d_4 x + e_4= 0 \) giving the four real solutions \( x=x_1 \) , \( x=x_2 \) , \( x=x_3 \) , and \( x=x_4 \) .

const char *type()

Return a string denoting the type (“quartic_real_gsl”)

Public Members

double cube_root_tol

A tolerance for determining the proper cube root (default \( 10^{-4} \) )