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Local2_32 Struct Reference

#include <local2_32.h>

Inheritance diagram for Local2_32:

List of all members.

Public Types
typedef UnparametricField< uint32 >::Element	Element
enum	Exponent { _min = 0, _max = 32 }
Public Methods
	Local2_32 (int p=2, int exp=32)
Static Public Methods
Exponent &	gcdin (Exponent &k, const Element &b)
bool	isUnit (const Exponent &a)
bool	isZero (const Element &a)
bool	isZero (const Exponent &a)
bool	isUnit (const Element &a)
Element &	mulin (Element &a, const Exponent &k)
Element &	mulin (Element &a, const Element &b)
Element &	axpyin (Element &r, const Element &x, const Element &y)
Element &	divin (Element &a, const Exponent &k)
Element &	inv (Element &a, const Element &b)
integer	getMaxModulus ()
Static Protected Methods
Element &	xgcd (Element &d, Element &s, Element &t, const Element &a, const Element &b)
Element &	HGCD (Element &g, Element &s, const Element &a, const Element &b)
	Half GCD g = gcd (a, b). exists t, such that: s * a + t * b = g. return g.

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Member Typedef Documentation

typedef UnparametricField<uint32>::Element Element

The field's element type. Type K must provide a default constructor, a copy constructor, a destructor, and an assignment operator. Reimplemented from UnparametricField< uint32 >.

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Member Enumeration Documentation

enum Exponent

Enumeration values: _min  _max

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Constructor & Destructor Documentation

Local2_32 (  int    p = 2, int    exp = 32 )  [inline]

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Member Function Documentation

Element& axpyin (  Element &    r, const Element &    x, const Element &    y )  [inline, static]

Element& divin (  Element &    a, const Exponent &    k )  [inline, static]

Exponent& gcdin (  Exponent &    k, const Element &    b )  [inline, static]

integer getMaxModulus (    )  [inline, static]

Element& HGCD (  Element &    g, Element &    s, const Element &    a, const Element &    b )  [inline, static, protected]

Half GCD g = gcd (a, b). exists t, such that: s * a + t * b = g. return g.

Element& inv (  Element &    a, const Element &    b )  [inline, static]

bool isUnit (  const Element &    a )  [inline, static]

bool isUnit (  const Exponent &    a )  [inline, static]

bool isZero (  const Exponent &    a )  [inline, static]

bool isZero (  const Element &    a )  [inline, static]

Element& mulin (  Element &    a, const Element &    b )  [inline, static]

Element& mulin (  Element &    a, const Exponent &    k )  [inline, static]

Element& xgcd (  Element &    d, Element &    s, Element &    t, const Element &    a, const Element &    b )  [inline, static, protected]

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