Poly1PadicDom< Domain, Dense > Class Template Reference

Poly1 p-adic. More...

#include <givpoly1padic.h>

Inheritance diagram for Poly1PadicDom< Domain, Dense >:

Collaboration diagram for Poly1PadicDom< Domain, Dense >:

Public Member Functions
bool	isDivisor (const Rep &P, const Element &Q) const
	isDivisor (a, b) Tests if Q | P (that is if P mod Q == 0).
Rep &	setdegree (Rep &P) const
	Compute the degree of P.
size_t &	sqrfree (size_t &Nfact, Rep *Fact, const Rep &P) const
	Sqrfree decomposition.
bool	isUnit (const Rep &x) const
	isUnit
bool	isDivisor (const Element &a, const Element &b) const
	isDivisor (a, b) Test if b | a.
Input/Output Operations
std::istream &	read (std::istream &is) const
	Read field.
virtual std::istream &	read (std::istream &is, Element &x) const
	Read field element.
std::ostream &	write (std::ostream &os, std::string F) const
	Read field.
std::ostream &	write (std::ostream &os, const Element &x) const
	Print field element.
Data Object Management.
first argument is set and the value is also returned.

Detailed Description

template<class Domain>
class Givaro::Poly1PadicDom< Domain, Dense >

Poly1 p-adic.

Member Function Documentation

setdegree()

template<class Domain>

Poly1Dom< Domain, Dense >::Rep & setdegree ( Rep & P ) const

inlineinherited

Compute the degree of P.

Warning

this is an infamous function that may not leave P constant !!

Parameters

P	polynomial

sqrfree()

template<class Domain>

size_t & sqrfree ( size_t & Nfact, Rep * Fact, const Rep & P ) const

inherited

Sqrfree decomposition.

Decompose P such that: P = Fact[0]^0 * Fact[1]^1 * ... * Fact[P.degree()]^(P.degree()), with Fact[0] the leading coefficient. The array Fact must be allocated before calling the function. The size of Fact must be degP+1 is all factors should be computed. For more readeable version of the algorithm, see Geddes, p342.

Parameters

Nfact	[in] the size of Fact
Fact	[in] an array of dimension Nfact
Nfact	[out] is the number of factor in the sqrfree decomposition
Fact	[out] contains at most Nfact factors of the decomposition.
P	rep.

read() [1/2]

template<class _Element>

std::istream & read ( std::istream & is ) const

inlineinherited

Read field.

Returns

input stream from which field is read.

Parameters

is	input stream from which field is read.

read() [2/2]

template<class _Element>

virtual std::istream & read ( std::istream & is, Element & x ) const

inlinevirtualinherited

Read field element.

Returns

input stream from which field element is read.

Parameters

is	input stream from which field element is read.
x	field element.

write() [1/2]

template<class _Element>

std::ostream & write ( std::ostream & os, std::string F ) const

inlineinherited

Read field.

Returns

input stream from which field is read.

Parameters

is	input stream from which field is read.

write() [2/2]

template<class _Element>

std::ostream & write ( std::ostream & os, const Element & x ) const

inlineinherited

Print field element.

Returns

output stream to which field element is written.

Parameters

os	output stream to which field element is written.
x	field element.

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The documentation for this class was generated from the following file:

• givpoly1padic.h