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

CGAL 4.8 - Polynomial

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PolynomialTraits_d::Shift Concept Reference
Concepts

## Definition

This `AdaptableBinaryFunction` multiplies a `PolynomialTraits_d::Polynomial_d` by the given power of the specified variable.

This functor is provided for efficiency reasons, since multiplication by some variable will in general correspond to a shift of coefficients in the internal representation.

Refines:

  `AdaptableBinaryFunction`

  `CopyConstructible`

  `DefaultConstructible`

See Also
  `Polynomial_d`
  `PolynomialTraits_d`

## Types
typedef PolynomialTraits_d::Polynomial_d | result_type
typedef PolynomialTraits_d::Polynomial_d | first_argument_type
typedef int | second_argument_type

## Operations
result_type | operator() (first_argument_type p, second_argument_type e)
| Returns \( p * x_{d-1}^e\). More...
result_type | operator() (first_argument_type p, second_argument_type e, int i)
| Returns \( p * x_{i}^e\). More...

## Member Function Documentation

result_type PolynomialTraits_d::Shift::operator() | ( | first_argument_type | p,
|  | second_argument_type | e
| ) |  |

Returns \( p * x_{d-1}^e\).

Precondition
  \( 0 \leq e\).

result_type PolynomialTraits_d::Shift::operator() | ( | first_argument_type | p,
|  | second_argument_type | e,
|  | int | i
| ) |  |

Returns \( p * x_{i}^e\).

Precondition
  \( 0 \leq e\).
  \( 0 \leq i < d\).