Polynomials over a fixed ring. More...
#include <polynomi.h>
Inheritance diagram for PolynomialOverFixedRing< T, instance >:
Classes | |
| struct | NewOnePolynomial |
Public Types | |
| typedef T | Ring |
| typedef T::Element | CoefficientType |
| typedef B::DivideByZero | DivideByZero |
| typedef B::RandomizationParameter | RandomizationParameter |
Public Member Functions | |
ACCESSORS | |
| int | Degree () const |
| the zero polynomial will return a degree of -1 | |
| unsigned int | CoefficientCount () const |
| degree + 1 | |
| CoefficientType | GetCoefficient (unsigned int i) const |
| return coefficient for x^i | |
| CoefficientType | operator[] (unsigned int i) const |
| return coefficient for x^i | |
MANIPULATORS | |
| ThisType & | operator= (const ThisType &t) |
| ThisType & | operator+= (const ThisType &t) |
| ThisType & | operator-= (const ThisType &t) |
| ThisType & | operator*= (const ThisType &t) |
| ThisType & | operator/= (const ThisType &t) |
| ThisType & | operator%= (const ThisType &t) |
| ThisType & | operator<<= (unsigned int n) |
| ThisType & | operator>>= (unsigned int n) |
| void | SetCoefficient (unsigned int i, const CoefficientType &value) |
| set the coefficient for x^i to value | |
| void | Randomize (RandomNumberGenerator &rng, const RandomizationParameter ¶meter) |
| void | Negate () |
| void | swap (ThisType &t) |
UNARY OPERATORS | |
| bool | operator! () const |
| ThisType | operator+ () const |
| ThisType | operator- () const |
Private Member Functions | |
ACCESSORS | |
| int | Degree (const Ring &ring) const |
| the zero polynomial will return a degree of -1 | |
| unsigned int | CoefficientCount (const Ring &ring) const |
| CoefficientType | GetCoefficient (unsigned int i, const Ring &ring) const |
| return coefficient for x^i | |
MANIPULATORS | |
| void | Randomize (RandomNumberGenerator &rng, const RandomizationParameter ¶meter, const Ring &ring) |
| void | SetCoefficient (unsigned int i, const CoefficientType &value, const Ring &ring) |
| set the coefficient for x^i to value | |
| void | Negate (const Ring &ring) |
| void | swap (PolynomialOver< Ring > &t) |
INPUT/OUTPUT | |
| std::istream & | Input (std::istream &in, const Ring &ring) |
| std::ostream & | Output (std::ostream &out, const Ring &ring) const |
Friends | |
BINARY OPERATORS | |
| ThisType | operator>> (ThisType a, unsigned int n) |
| ThisType | operator<< (ThisType a, unsigned int n) |
INPUT/OUTPUT | |
| std::istream & | operator>> (std::istream &in, ThisType &a) |
| std::ostream & | operator<< (std::ostream &out, const ThisType &a) |
BASIC ARITHMETIC ON POLYNOMIALS | |
| bool | Equals (const PolynomialOver< Ring > &t, const Ring &ring) const |
| bool | IsZero (const Ring &ring) const |
| PolynomialOver< Ring > | Plus (const PolynomialOver< Ring > &t, const Ring &ring) const |
| PolynomialOver< Ring > | Minus (const PolynomialOver< Ring > &t, const Ring &ring) const |
| PolynomialOver< Ring > | Inverse (const Ring &ring) const |
| PolynomialOver< Ring > | Times (const PolynomialOver< Ring > &t, const Ring &ring) const |
| PolynomialOver< Ring > | DividedBy (const PolynomialOver< Ring > &t, const Ring &ring) const |
| PolynomialOver< Ring > | Modulo (const PolynomialOver< Ring > &t, const Ring &ring) const |
| PolynomialOver< Ring > | MultiplicativeInverse (const Ring &ring) const |
| bool | IsUnit (const Ring &ring) const |
| PolynomialOver< Ring > & | Accumulate (const PolynomialOver< Ring > &t, const Ring &ring) |
| PolynomialOver< Ring > & | Reduce (const PolynomialOver< Ring > &t, const Ring &ring) |
| PolynomialOver< Ring > | Doubled (const Ring &ring) const |
| PolynomialOver< Ring > | Squared (const Ring &ring) const |
| CoefficientType | EvaluateAt (const CoefficientType &x, const Ring &ring) const |
| PolynomialOver< Ring > & | ShiftLeft (unsigned int n, const Ring &ring) |
| PolynomialOver< Ring > & | ShiftRight (unsigned int n, const Ring &ring) |
| static void | Divide (PolynomialOver< Ring > &r, PolynomialOver< Ring > &q, const PolynomialOver< Ring > &a, const PolynomialOver< Ring > &d, const Ring &ring) |
| calculate r and q such that (a == d*q + r) && (0 <= degree of r < degree of d) | |
CREATORS | |
| PolynomialOverFixedRing (unsigned int count=0) | |
| creates the zero polynomial | |
| PolynomialOverFixedRing (const ThisType &t) | |
| copy constructor | |
| PolynomialOverFixedRing (const B &t) | |
| PolynomialOverFixedRing (const CoefficientType &element) | |
| construct constant polynomial | |
| template<typename Iterator > | |
| PolynomialOverFixedRing (Iterator first, Iterator last) | |
| construct polynomial with specified coefficients, starting from coefficient of x^0 | |
| PolynomialOverFixedRing (const char *str) | |
| convert from string | |
| PolynomialOverFixedRing (const byte *encodedPoly, unsigned int byteCount) | |
| convert from big-endian byte array | |
| PolynomialOverFixedRing (const byte *BEREncodedPoly) | |
| convert from Basic Encoding Rules encoded byte array | |
| PolynomialOverFixedRing (BufferedTransformation &bt) | |
| convert from BER encoded byte array stored in a BufferedTransformation object | |
| PolynomialOverFixedRing (RandomNumberGenerator &rng, const RandomizationParameter ¶meter) | |
| create a random PolynomialOverFixedRing | |
| static const ThisType & | Zero () |
| static const ThisType & | One () |
OTHER ARITHMETIC FUNCTIONS | |
| ThisType | MultiplicativeInverse () const |
| bool | IsUnit () const |
| ThisType | Doubled () const |
| ThisType | Squared () const |
| CoefficientType | EvaluateAt (const CoefficientType &x) const |
| static void | Divide (ThisType &r, ThisType &q, const ThisType &a, const ThisType &d) |
| calculate r and q such that (a == d*q + r) && (0 <= r < abs(d)) | |
Detailed Description
template<class T, int instance>
class PolynomialOverFixedRing< T, instance >
Polynomials over a fixed ring.
Having a fixed ring allows overloaded operators
Definition at line 159 of file polynomi.h.
The documentation for this class was generated from the following file:
