o2scl::poly_real_coeff_gsl Class Reference

Solve a general polynomial with real coefficients (GSL) More...

`#include <poly.h>`

Inheritance diagram for o2scl::poly_real_coeff_gsl:

## Public Member Functions

virtual int solve_rc (int n, const double co[], std::complex< double > ro[])
Solve a generic polynomial given `n+1` coefficients. More...

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)
Solve a cubic polynomial with real coefficients.

virtual int solve_rc (const double a2, const double b2, const double c2, std::complex< double > &x1, std::complex< double > &x2)
Solve a quadratic polynomial with real coefficients.

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)
Solve a quartic polynomial with real coefficients.

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

Public Member Functions inherited from o2scl::poly_real_coeff
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 .

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 .

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 .

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")

## Protected Attributes

gsl_poly_complex_workspace * w2

gsl_poly_complex_workspace * w3
Workspace for cubic polynomials.

gsl_poly_complex_workspace * w4
Workspace for quartic polynomials.

gsl_poly_complex_workspace * wgen
Workspace for general polynomials.

int gen_size
The size of the workspace wgen.

## Detailed Description

Definition at line 605 of file poly.h.

## ◆ solve_rc()

 virtual int o2scl::poly_real_coeff_gsl::solve_rc ( int n, const double co[], std::complex< double > ro[] )
virtual
Note
In order to be consistent with the other solve_rc() functions, the ordering of the coefficients is reversed with respect to gsl_poly_complex_solve(). The leading coefficient is stored in `co[0]` and the constant term is stored in `co[n]`.

Implements o2scl::poly_real_coeff.

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

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