Class cubic_real (o2scl)

O2scl : Class List

class o2scl::cubic_real

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

Subclassed by o2scl::cubic_real_coeff

Public Functions

~cubic_real()
int solve_r(const double a3, const double b3, const double c3, const double d3, double &x1, double &x2, double &x3) = 0

Solves the polynomial \( a_3 x^3 + b_3 x^2 + c_3 x + d_3= 0 \) giving the three solutions \( x=x_1 \) , \( x=x_2 \) , and \( x=x_3 \) .

double disc_r(const double a3, const double b3, const double c3, const double d3)

Compute the cubic discriminant, \( b^2 c^2 - 4 a c^3 - 4 b^3 d - 27 a^2 d^2 + 18 a b c d \).

const char *type()

Return a string denoting the type (“cubic_real”)