GrowthRate Class Reference

To compute the growth rate. More...

#include <growthrate.h>

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

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

Private Attributes
vector< GEN >	t_POLfactors
	Irreducible factors of the denominator of the growth series (only those having a root between 0 and 1) More...
GEN	gGrowthRate
	Maximal positive root of the polynomial. More...
GEN	gMaximalRoots
	Roots of the polynomial which has the maximal root. More...
long int	iIndexMaximalRoot
	Factor which contains the minimal root. More...
GEN	gEpsilon
	Some small number (typically 10^-50) More...
long int	iPariPrecision
	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

(

)

Member Function Documentation

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

GrowthRate::iNumberRootsUnitCircle ( 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

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

private

Factor the polynomial iPolynomial and store the factors into t_POLfactors

Parameters

iPolynomial(

vector< mpz_class > ) The polynomial (coefficients in GMPlib)

GrowthRate::minimalRoot ( )

private

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

Member Data Documentation

GEN GrowthRate::gEpsilon

private

Some small number (typically 10^-50)

GEN GrowthRate::gGrowthRate

private

Maximal positive root of the polynomial.

GEN GrowthRate::gMaximalRoots

private

Roots of the polynomial which has the maximal root.

long int GrowthRate::iIndexMaximalRoot

private

Factor which contains the minimal root.

long int GrowthRate::iPariPrecision

private

Given as prec (typically 8)

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