GrowthRate Class Reference

To compute the growth rate. More...

#include <growthrate.h>

Public Member Functions
	GrowthRate ()
	~GrowthRate ()
GrowthRate_Result	grrComputations (vector< mpz_class > polynomial, const bool &onlyGrowthRate=false)

Private Member Functions
void	irreducibleFactors (const vector< mpz_class > &polynomial)
void	minimalRoot ()
long int	numberRootsUnitCircle (GEN gPol)

Private Attributes
vector< GEN >	t_POLfactors
GEN	gGrowthRate
	Maximal positive root of the polynomial. More...
GEN	gMaximalRoots
	Roots of the polynomial which has the maximal root. More...
long int	indexMaximalRoot
	Factor which contains the minimal root. More...
GEN	gEpsilon
	Some small number (typically 10^-50) More...
long int	pariPrecision
	Given as prec (typically 8) More...

Detailed Description

To compute the growth rate.

To compute the signature of a matrix (PARI format)

Constructor & Destructor Documentation

GrowthRate()

GrowthRate::GrowthRate

(

)

~GrowthRate()

GrowthRate::~GrowthRate

(

)

Member Function Documentation

grrComputations()

GrowthRate_Result GrowthRate::grrComputations	(	vector< mpz_class >	polynomial,
		const bool &	onlyGrowthRate = false
	)

irreducibleFactors()

GrowthRate::irreducibleFactors ( const vector< mpz_class > &  polynomial )

private

Factor the polynomial polynomial and store the factors into t_POLfactors

Parameters

polynomial(vector<

mpz_class >) The polynomial (coefficients in GMPlib)

minimalRoot()

GrowthRate::minimalRoot ( )

private

Find which fact has the smallest (positive, <1) real root and store the index into indexMinimalRoot

numberRootsUnitCircle()

GrowthRate::numberRootsUnitCircle ( GEN  gPol )

private

For a palindromic polynomial, try to compute the number of zeros on the unit circle

Parameters

gPol	(GEN, PARI polynomial)

Returns

Number of roots on the unit circle of -1 if we cannot decide

Member Data Documentation

gEpsilon

GEN GrowthRate::gEpsilon

private

Some small number (typically 10^-50)

gGrowthRate

GEN GrowthRate::gGrowthRate

private

Maximal positive root of the polynomial.

gMaximalRoots

GEN GrowthRate::gMaximalRoots

private

Roots of the polynomial which has the maximal root.

indexMaximalRoot

long int GrowthRate::indexMaximalRoot

private

Factor which contains the minimal root.

pariPrecision

long int GrowthRate::pariPrecision

private

Given as prec (typically 8)

t_POLfactors

vector<GEN> GrowthRate::t_POLfactors

private

Irreducible factors of the denominator of the growth series (only those having a root between 0 and 1)

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

• growthrate.h
• growthrate.cpp