\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.3 - Polynomial

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PolynomialTraits_d::ConstructPolynomial Concept Reference
Concepts

## Definition

This `AdaptableFunctor` provides several operators to construct objects of type `PolynomialTraits_d::Polynomial_d`.

Refines:

  `AdaptableFunctor`

  `CopyConstructible`

  `DefaultConstructible`

See Also
  `Polynomial_d`
  `PolynomialTraits_d`

## Types
typedef PolynomialTraits_d::Polynomial_d | result_type

## Operations
result_type | operator() ()
| Construct the zero polynomial.
result_type | operator() (int i)
| Construct the constant polynomial equal to \( i\).
result_type | operator() (PolynomialTraits_d::Innermost_coefficient_type a)
| Construct the constant polynomial equal to \( a\).
result_type | operator() (PolynomialTraits_d::Coefficient_type a)
| Construct the polynomial equal to \( a\).
template<class InputIterator >
result_type | operator() (InputIterator begin, InputIterator end)
template<class InputIterator >
result_type | operator() (InputIterator begin, InputIterator end, bool is_sorted=false)
| Constructs a `Polynomial_d` from a given iterator range of `std::pair<CGAL::Exponent_vector, PolynomialTraits_d::Innermost_coefficient_type>`. More...

## Member Function Documentation

template<class InputIterator >

result_type PolynomialTraits_d::ConstructPolynomial::operator() | ( | InputIterator | begin,
|  | InputIterator | end
| ) |  |

Precondition
  The value type of `InputIterator` is `PolynomialTraits_d::Coefficient_type`.

The operator constructs the a polynomial from the iterator range, with respect to the outermost variable, \( x_{d-1}\).

The range starts with the coefficient for \( x_{d-1}^0\).

In case the range is empty, the zero polynomial is constructed.

template<class InputIterator >

result_type PolynomialTraits_d::ConstructPolynomial::operator() | ( | InputIterator | begin,
|  | InputIterator | end,
|  | bool | is_sorted = `false`
| ) |  |

Constructs a `Polynomial_d` from a given iterator range of `std::pair<CGAL::Exponent_vector, PolynomialTraits_d::Innermost_coefficient_type>`.

The optional parameter `is_sorted` indicates whether the given iterator range is already sorted.

Precondition
  The value type of `InputIterator` is `std::pair<CGAL::Exponent_vector, PolynomialTraits_d::Innermost_coefficient_type>`.
  Each `CGAL::Exponent_vector` must have size \( d\).
  All appearing `CGAL::Exponent_vector`s are different.