Gabriele Cosmo
117 lines
4.5 KiB
C++
117 lines
4.5 KiB
C++
//
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// ********************************************************************
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// * License and Disclaimer *
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// * *
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// * The Geant4 software is copyright of the Copyright Holders of *
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// * the Geant4 Collaboration. It is provided under the terms and *
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// * conditions of the Geant4 Software License, included in the file *
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// * LICENSE and available at http://cern.ch/geant4/license . These *
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// * include a list of copyright holders. *
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// * *
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// * Neither the authors of this software system, nor their employing *
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// * institutes,nor the agencies providing financial support for this *
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// * work make any representation or warranty, express or implied, *
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// * regarding this software system or assume any liability for its *
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// * use. Please see the license in the file LICENSE and URL above *
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// * for the full disclaimer and the limitation of liability. *
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// * *
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// * This code implementation is the result of the scientific and *
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// * technical work of the GEANT4 collaboration. *
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// * By using, copying, modifying or distributing the software (or *
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// * any work based on the software) you agree to acknowledge its *
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// * use in resulting scientific publications, and indicate your *
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// * acceptance of all terms of the Geant4 Software license. *
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// ********************************************************************
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//
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// G4JTPolynomialSolver
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//
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// Class description:
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//
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// G4JTPolynomialSolver implements the Jenkins-Traub algorithm
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// for real polynomial root finding.
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// The solver returns -1, if the leading coefficient is zero,
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// the number of roots found, otherwise.
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//
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// ----------------------------- INPUT --------------------------------
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//
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// op - double precision vector of coefficients in order of
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// decreasing powers
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// degree - integer degree of polynomial
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//
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// ----------------------------- OUTPUT -------------------------------
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//
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// zeror,zeroi - double precision vectors of the
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// real and imaginary parts of the zeros
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//
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// ---------------------------- EXAMPLE -------------------------------
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//
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// G4JTPolynomialSolver trapEq ;
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// G4double coef[8] ;
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// G4double zr[7] , zi[7] ;
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// G4int num = trapEq.FindRoots(coef,7,zr,zi);
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//
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// Translated from original TOMS493 Fortran77 routine (ANSI C, by C.Bond).
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// Author: Oliver Link, 15.02.2005
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// Translated to C++ and adapted to use STL vectors.
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// --------------------------------------------------------------------
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#ifndef G4JTPOLYNOMIALSOLVER_HH
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#define G4JTPOLYNOMIALSOLVER_HH 1
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#include <cmath>
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#include <vector>
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#include "globals.hh"
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class G4JTPolynomialSolver
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{
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public:
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G4JTPolynomialSolver() = default;
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~G4JTPolynomialSolver() = default;
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G4int FindRoots(G4double* op, G4int degree, G4double* zeror, G4double* zeroi);
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private:
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void Quadratic(G4double a, G4double b1, G4double c, G4double* sr,
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G4double* si, G4double* lr, G4double* li);
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void ComputeFixedShiftPolynomial(G4int l2, G4int* nz);
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void QuadraticPolynomialIteration(G4double* uu, G4double* vv, G4int* nz);
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void RealPolynomialIteration(G4double* sss, G4int* nz, G4int* iflag);
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void ComputeScalarFactors(G4int* type);
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void ComputeNextPolynomial(G4int* type);
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void ComputeNewEstimate(G4int type, G4double* uu, G4double* vv);
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void QuadraticSyntheticDivision(G4int n, G4double* u, G4double* v,
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std::vector<G4double>& p,
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std::vector<G4double>& q, G4double* a,
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G4double* b);
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private:
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std::vector<G4double> p;
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std::vector<G4double> qp;
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std::vector<G4double> k;
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std::vector<G4double> qk;
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std::vector<G4double> svk;
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G4double sr = 0.0;
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G4double si = 0.0;
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G4double u = 0.0, v = 0.0;
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G4double a = 0.0, b = 0.0, c = 0.0, d = 0.0;
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G4double a1 = 0.0, a3 = 0.0, a7 = 0.0;
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G4double e = 0.0, f = 0.0, g = 0.0, h = 0.0;
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G4double szr = 0.0, szi = 0.0;
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G4double lzr = 0.0, lzi = 0.0;
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G4int n = 0;
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/* The following statements set machine constants */
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static const G4double base;
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static const G4double eta;
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static const G4double infin;
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static const G4double smalno;
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static const G4double are;
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static const G4double mre;
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static const G4double lo;
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};
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#endif
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