\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.8.2 - Polynomial
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PolynomialTraits_d::ConstructPolynomial Concept Reference

Definition

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_vectors are different.