Class cubic_complex (o2scl)

O2scl : Class List

class o2scl::cubic_complex : public o2scl::cubic_real_coeff

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

Subclassed by o2scl::cubic_complex_std, o2scl::poly_complex

Public Functions

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

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 \( x=x_3 \) .

int solve_rc(const double a3, const double b3, const double c3, const double d3, double &x1, std::complex<double> &x2, std::complex<double> &x3)

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

int solve_c(const std::complex<double> a3, const std::complex<double> b3, const std::complex<double> c3, const std::complex<double> d3, std::complex<double> &x1, std::complex<double> &x2, std::complex<double> &x3) = 0

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

const char *type()

Return a string denoting the type (“cubic_complex”)