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    PolynomSolver< T > Class Template Reference
    Math Library

    #include <polynomsolver.h>

    Detailed Description

    template<typename T>
    class maxon::PolynomSolver< T >

    Each function uses the followig format: a*x^(n) + b*x^(n-1) + ... = 0 Return value is the number of real solutions. All results are stored in x. This array must have at least n elements. If the imaginary part of a complex number is between -epsilon and epsilon the number is treated as a real number.

    Public Member Functions

     PolynomSolver ()
     
    Int32 SolveLinear (T a, T b, T *x)
     
    Int32 Solve2 (T a, T b, T c, T *x, T epsilon=1e-5)
     
    Int32 Solve2 (T a, T b, T c, Complex< T > *x)
     
    Int32 Solve3 (T a, T b, T c, T d, T *x, T epsilon=1e-5)
     
    Int32 Solve3 (T a, T b, T c, T d, Complex< T > *x)
     
    Int32 Solve4 (T a, T b, T c, T d, T e, T *x, T epsilon=1e-5)
     
    Int32 Solve4 (T a, T b, T c, T d, T e, Complex< T > *x)
     
    Int32 SolveN (Int32 n, Complex< T > *coeff, Complex< T > *x, Bool polish=true, Int32 maxiter=80)
     

    Static Public Member Functions

    static T GetComplexAbs (const Complex< T > &c)
     
    static Bool ComplexIsReal (const Complex< T > &c, T eps=1e-4)
     

    Private Member Functions

    T Sqr (T d)
     
    T Cub (T d)
     
    T Sqrt3 (T x)
     
    void Laguer (Complex64 a[], Int32 m, Complex64 &x, Int32 &its)
     

    Private Attributes

    Complex< T > rho1
     
    Complex< T > rho2
     

    Constructor & Destructor Documentation

    ◆ PolynomSolver()

    PolynomSolver

    Member Function Documentation

    ◆ SolveLinear()

    Int32 SolveLinear ( T  a,
    T  b,
    T *  x 
    )

    ◆ Solve2() [1/2]

    Int32 Solve2 ( T  a,
    T  b,
    T  c,
    T *  x,
    T  epsilon = 1e-5 
    )

    ◆ Solve2() [2/2]

    Int32 Solve2 ( T  a,
    T  b,
    T  c,
    Complex< T > *  x 
    )

    ◆ Solve3() [1/2]

    Int32 Solve3 ( T  a,
    T  b,
    T  c,
    T  d,
    T *  x,
    T  epsilon = 1e-5 
    )

    ◆ Solve3() [2/2]

    Int32 Solve3 ( T  a,
    T  b,
    T  c,
    T  d,
    Complex< T > *  x 
    )

    ◆ Solve4() [1/2]

    Int32 Solve4 ( T  a,
    T  b,
    T  c,
    T  d,
    T  e,
    T *  x,
    T  epsilon = 1e-5 
    )

    ◆ Solve4() [2/2]

    Int32 Solve4 ( T  a,
    T  b,
    T  c,
    T  d,
    T  e,
    Complex< T > *  x 
    )

    ◆ SolveN()

    Int32 SolveN ( Int32  n,
    Complex< T > *  coeff,
    Complex< T > *  x,
    Bool  polish = true,
    Int32  maxiter = 80 
    )

    ◆ GetComplexAbs()

    T GetComplexAbs ( const Complex< T > &  c)
    		static

    ◆ ComplexIsReal()

    Bool ComplexIsReal ( const Complex< T > &  c,
    T  eps = 1e-4 
    )
    		static

    ◆ Sqr()

    T Sqr ( T  d)
    		private

    ◆ Cub()

    T Cub ( T  d)
    		private

    ◆ Sqrt3()

    T Sqrt3 ( T  x)
    		private

    ◆ Laguer()

    void Laguer ( Complex64  a[],
    Int32  m,
    Complex64 &  x,
    Int32 &  its 
    )
    		private

    Member Data Documentation

    ◆ rho1

    Complex<T> rho1
    		private

    ◆ rho2

    Complex<T> rho2
    		private