o2scl::poly_complex Class Referenceabstract

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

`#include <poly.h>`

Inheritance diagram for o2scl::poly_complex:

## Public Member Functions

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

virtual int polish_c (int n, const std::complex< double > co[], std::complex< double > *ro)=0
Polish the roots.

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

Public Member Functions inherited from o2scl::quadratic_complex
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)
Solves the polynomial giving the two complex solutions and .

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

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

Public Member Functions inherited from o2scl::quadratic_real_coeff
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_complex
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)
Solves the polynomial giving the real solution and two complex solutions and .

virtual 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 giving the three complex solutions , , and .

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

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

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

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

Public Member Functions inherited from o2scl::quartic_real_coeff
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 348 of file poly.h.

## ◆ solve_c()

 virtual int o2scl::poly_complex::solve_c ( int n, const std::complex< 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].

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

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