quartic_complex Class Reference

#include <poly.h>

Inheritance diagram for quartic_complex:

quartic_real_coeff quartic_real naive_quartic_complex poly_complex

Detailed Description

Solve a quartic polynomial with complex coefficients and complex roots.

Definition at line 287 of file poly.h.


Public Member Functions

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

Member Function Documentation

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 
) [virtual]

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

Reimplemented from quartic_real_coeff.

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 
) [virtual]

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

Reimplemented from quartic_real_coeff.

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 
) [inline, virtual]

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

Reimplemented in naive_quartic_complex.

Definition at line 318 of file poly.h.


The documentation for this class was generated from the following file:
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