o2scl::poly_real_coeff Class Referenceabstract

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

`#include <poly.h>`

Inheritance diagram for o2scl::poly_real_coeff:

## Public Member Functions

virtual int solve_rc (int n, const double co[], std::complex< double > ro[])=0
Solve the n-th order polynomial. More...

const char * type ()
Return a string denoting the type ("poly_real_coeff")

Public Member Functions inherited from o2scl::quadratic_real_coeff
virtual int solve_r (const double a2, const double b2, const double c2, double &x1, double &x2)
Solves the polynomial giving the two solutions and .

virtual int solve_rc (const double a2, const double b2, const double c2, std::complex< double > &x1, std::complex< double > &x2)=0
Solves the polynomial giving the two complex solutions and .

const char * type ()
Return a string denoting the type ("quadratic_real_coeff")

Public Member Functions inherited from o2scl::quadratic_real
const char * type ()
Return a string denoting the type ("quadratic_real")

Public Member Functions inherited from o2scl::cubic_real_coeff
virtual int solve_r (const double a3, const double b3, const double c3, const double d3, double &x1, double &x2, double &x3)
Solves the polynomial giving the three solutions , , and .

virtual 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)=0
Solves the polynomial giving the real solution and two complex solutions and .

const char * type ()
Return a string denoting the type ("cubic_real_coeff")

Public Member Functions inherited from o2scl::cubic_real
const char * type ()
Return a string denoting the type ("cubic_real")

Public Member Functions inherited from o2scl::quartic_real_coeff
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)
Solves the polynomial giving the four solutions , , , and .

virtual int solve_rc (const double a4, const double b4, const double c4, const double d4, const double e4, std::complex< double > &x1, std::complex< double > &x2, std::complex< double > &x3, std::complex< double > &x4)=0
Solves the polynomial giving the four complex solutions , , , and .

const char * type ()
Return a string denoting the type ("quartic_real_coeff")

Public Member Functions inherited from o2scl::quartic_real
const char * type ()
Return a string denoting the type ("quartic_real")

## Detailed Description

Definition at line 325 of file poly.h.

## ◆ solve_rc()

 virtual int o2scl::poly_real_coeff::solve_rc ( int n, const double co[], std::complex< double > ro[] )
pure virtual

The coefficients are stored in co[], with the leading coefficient as co[0] and the constant term as co[n]. The roots are returned in ro[0],...,ro[n-1].

Implemented in o2scl::poly_real_coeff_gsl.

The documentation for this class was generated from the following file:
• /home/awsteiner/wcs/o2scl/src/other/poly.h

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