CGAL 6.1.2 - Polynomial: PolynomialTraits_d::UnivariateContentUpToConstantFactor Concept Reference

CGAL 6.1.2 - Polynomial

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PolynomialTraits_d::UnivariateContentUpToConstantFactor Concept Reference
Reference Manual » Concepts

## Definition

This `AdaptableUnaryFunction` computes the content of a `PolynomialTraits_d::Polynomial_d` with respect to the univariate (recursive) view on the polynomial up to a constant factor (utcf), that is, it computes the \( \mathrm{gcd\_utcf}\) of all coefficients with respect to one variable.

Remark: This is called `UnivariateContentUpToConstantFactor` for symmetric reasons with respect to `PolynomialTraits_d::UnivariateContent` and `PolynomialTraits_d::MultivariateContent`. However, a concept `PolynomialTraits_d::MultivariateContentUpToConstantFactor` does not exist since the result is trivial.

Refines
  `AdaptableUnaryFunction`
  `CopyConstructible`
  `DefaultConstructible`

See also
  `Polynomial_d`
  `PolynomialTraits_d`
  `PolynomialTraits_d::GcdUpToConstantFactor`

## Types
typedef PolynomialTraits_d::Coefficient_type | result_type
typedef PolynomialTraits_d::Polynomial_d | argument_type

## Operations
result_type | operator() (first_argument_type p)
| Computes the content up to a constant factor of \( p\) with respect to the outermost variable \( x_{d-1}\).