/usr/include/openturns/UniVariatePolynomialImplementation.hxx is in libopenturns-dev 1.2-2.
This file is owned by root:root, with mode 0o644.
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/**
* @file UniVariatePolynomialImplementation.hxx
* @brief This is a 1D polynomial
*
* Copyright (C) 2005-2013 EDF-EADS-Phimeca
*
* This library is free software: you can redistribute it and/or modify
* it under the terms of the GNU Lesser General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* This library is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public
* along with this library. If not, see <http://www.gnu.org/licenses/>.
*
* @author dutka
* @date 2008-05-21 17:44:02 +0200 (Wed, 21 May 2008)
*/
#ifndef OPENTURNS_UNIVARIATEPOLYNOMIALIMPLEMENTATION_HXX
#define OPENTURNS_UNIVARIATEPOLYNOMIALIMPLEMENTATION_HXX
#include "OTprivate.hxx"
#include "NumericalPoint.hxx"
#include "Graph.hxx"
#include "Matrix.hxx"
#include "Pointer.hxx"
#include "PersistentObject.hxx"
BEGIN_NAMESPACE_OPENTURNS
/**
* @class UniVariatePolynomialImplementation
*
* This is a 1D polynomial
*/
class UniVariatePolynomialImplementation
: public PersistentObject
{
CLASSNAME;
public:
typedef Pointer<UniVariatePolynomialImplementation> Implementation;
typedef Matrix::NumericalComplexCollection NumericalComplexCollection;
typedef NumericalPoint Coefficients;
/** Default constructor */
UniVariatePolynomialImplementation();
/** Constructor from coefficients */
UniVariatePolynomialImplementation(const Coefficients & coefficients);
/** Virtual constructor */
virtual UniVariatePolynomialImplementation * clone() const;
/** String converter */
virtual String __repr__() const;
virtual String __str__(const String & offset = "") const;
virtual String __str__(const String & variableName,
const String & offset) const;
/** UniVariatePolynomialImplementation are evaluated as functors */
NumericalScalar operator() (const NumericalScalar x) const;
NumericalComplex operator() (const NumericalComplex z) const;
/** UniVariatePolynomialImplementation derivative */
NumericalScalar derivative(const NumericalScalar x) const;
/** Compute the derivative of the polynomial */
UniVariatePolynomialImplementation derivate() const;
/** Multiply the polynomial P by a NumericalScalar */
UniVariatePolynomialImplementation operator * (const NumericalScalar scalar) const;
/** Multiply the polynomial P by a polynomial Q */
UniVariatePolynomialImplementation operator * (const UniVariatePolynomialImplementation & uniVariatePolynomial) const;
/** Multiply the polynomial by (x to the power degree) */
UniVariatePolynomialImplementation incrementDegree (const UnsignedLong degree = 1) const;
/** Sum of two polynomials of any degree */
UniVariatePolynomialImplementation operator + (const UniVariatePolynomialImplementation & uniVariatePolynomial) const;
/** Substraction of two polynomials of any degree */
UniVariatePolynomialImplementation operator - (const UniVariatePolynomialImplementation & uniVariatePolynomial) const;
/** Coefficients accessor */
void setCoefficients(const Coefficients & coefficients);
Coefficients getCoefficients() const;
/** Get the degree of the polynomial */
UnsignedLong getDegree() const;
/** Root of the polynomial of degree n as the eigenvalues of the associated matrix */
NumericalComplexCollection getRoots() const;
/** Method to draw the graph of the polynomial between given bounds */
Graph draw(const NumericalScalar xMin,
const NumericalScalar xMax,
const UnsignedLong pointNumber) const;
/** Method save() stores the object through the StorageManager */
void save(Advocate & adv) const;
/** Method load() reloads the object from the StorageManager */
void load(Advocate & adv);
protected:
/** Remove null leading coefficients */
void compactCoefficients();
/** The table of polynomial coefficients in ascending order: P(X) = C0 + C1 * X + ... + Cn * X^n */
Coefficients coefficients_;
private:
} ; /* Class UniVariatePolynomialImplementation */
END_NAMESPACE_OPENTURNS
#endif /* OPENTURNS_UNIVARIATEPOLYNOMIALIMPLEMENTATION_HXX */
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