
[index]

Utility of Conversion of Polynomials

File Name

  polyomimial-converter.rb

Methods:

Algebra::Polynomial.convert_to(ring)
    Returns the ring converted to ring of Algebra::MPolynomial.
   
Algebra::Polynomial#value_on(ring)
    Returns the ring converted to ring of Algebra::MPolynomial.
   
    Example:
    require "m-polynomial"
    require "polynomial"
    
    P = Algebra::Polynomial(Integer, "x", "y", "z")
    x, y, z = P.vars
    f = x**2 + y**2 + z**2 - x*y - y*z - z*x
    
    MP = P.convert_to(Algebra::MPolynomial)
    p f = f.value_on(MP) #=> z^2 - zy - zx + y^2 - yx + x^2
    x, y, z = MP.vars
    p f == x**2 + y**2 + z**2 - x*y - y*z - z*x #=> true
   
Algebra::MPolynomial.convert_to(ring)
    Returns the ring converted to ring of Algebra::Polynomial
   
Algebra::MPolynomial#value_on(ring)
    Returns the ring converted to ring of Algebra::Polynomial.
   
    Example:
    require "m-polynomial"
    require "polynomial"
    
    MP = Algebra::MPolynomial(Integer, "x", "y", "z")
    x, y, z = MP.vars
    f = x**2 + y**2 + z**2 - x*y - y*z - z*x
    
    P = MP.convert_to(Algebra::Polynomial)
    p f = f.value_on(P) #=> x^2 + (-y - z)x + y^2 - zy + z^2
    x, y, z = P.vars
    p f == x**2 + y**2 + z**2 - x*y - y*z - z*x #=> true
   

