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polynomial's Introduction

In the modul Polynomial a template class Polynom is declared. Class provides following operations with polynomials and numbers:

  • Add (+), subtract (-), multiply (*), divide with remainder (/) and get remainder (%);
  • Comparaison (==, !=);
  • Print a polynomial (<<);
  • Calculate value of a polynomial in the given point (());
  • Get a coefficient of a polynomial ([]). A coefficient is returned by reference and can be changed.

Class provides following methods:

  • .degree()
  • Returns a degree of a polynomial.
  • .printc()
  • Returns a string, contains coefficients of a polynomial.
  • .print(var_name = "x")
  • Returns a string, contains a polynomial with given name of variable.
  • .max_coef()
  • Returns the maximal coefficient of a polynomial.

There are following functions with polynomials:

  • pw(poly, n)
  • Returns the n-th power of a polynomial.
  • deriv(poly, n)
  • Returns the n-th derivative of a polynomial.
  • integr(poly)
  • Returns an integral of a polynomial.
  • integr(poly, a, b)
  • Returns an integral of a polynomial calculated from a to b.
  • max_deriv_coef(poly1, poly2)
  • Returns the maximal derivative coefficient of two polynomials.

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