Public Member Functions | Protected Attributes | List of all members
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:
o2scl::poly_real_coeff o2scl::quadratic_real_coeff o2scl::cubic_real_coeff o2scl::quartic_real_coeff o2scl::quadratic_real o2scl::cubic_real o2scl::quartic_real

Detailed Description

Definition at line 622 of file poly.h.

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 $ a_2 x^2 + b_2 x + c_2 = 0 $ giving the two solutions $ x=x_1 $ and $ x=x_2 $ .
 
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 $ 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 $ .
 
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 $ 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 $ .
 
const char * type ()
 Return a string denoting the type ("quartic_real_coeff")
 
- Public Member Functions inherited from o2scl::quartic_real
virtual double disc_r (const double a, const double b, const double c, const double d, const double e)
 Compute the discriminant. More...
 
const char * type ()
 Return a string denoting the type ("quartic_real")
 

Protected Attributes

gsl_poly_complex_workspace * w2
 Workspace for quadratic polynomials.
 
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.
 

Member Function Documentation

◆ 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:

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