Gabriele Cosmo
79 lines
3.1 KiB
C++
79 lines
3.1 KiB
C++
//
|
|
// ********************************************************************
|
|
// * License and Disclaimer *
|
|
// * *
|
|
// * The Geant4 software is copyright of the Copyright Holders of *
|
|
// * the Geant4 Collaboration. It is provided under the terms and *
|
|
// * conditions of the Geant4 Software License, included in the file *
|
|
// * LICENSE and available at http://cern.ch/geant4/license . These *
|
|
// * include a list of copyright holders. *
|
|
// * *
|
|
// * Neither the authors of this software system, nor their employing *
|
|
// * institutes,nor the agencies providing financial support for this *
|
|
// * work make any representation or warranty, express or implied, *
|
|
// * regarding this software system or assume any liability for its *
|
|
// * use. Please see the license in the file LICENSE and URL above *
|
|
// * for the full disclaimer and the limitation of liability. *
|
|
// * *
|
|
// * This code implementation is the result of the scientific and *
|
|
// * technical work of the GEANT4 collaboration. *
|
|
// * By using, copying, modifying or distributing the software (or *
|
|
// * any work based on the software) you agree to acknowledge its *
|
|
// * use in resulting scientific publications, and indicate your *
|
|
// * acceptance of all terms of the Geant4 Software license. *
|
|
// ********************************************************************
|
|
//
|
|
//
|
|
// $Id: G4AnalyticalPolSolver.hh,v 1.5 2006/06/29 18:59:23 gunter Exp $
|
|
// GEANT4 tag $Name: geant4-09-01 $
|
|
//
|
|
// Class description:
|
|
//
|
|
// G4AnalyticalPolSolver allows the user to solve analytically a polynomial
|
|
// equation up to the 4th order. This is used by CSG solid tracking functions
|
|
// like G4Torus.
|
|
//
|
|
// The algorithm has been adapted from the CACM Algorithm 326:
|
|
//
|
|
// Roots of low order polynomials
|
|
// Author: Terence R.F.Nonweiler
|
|
// CACM (Apr 1968) p269
|
|
// Translated into C and programmed by M.Dow
|
|
// ANUSF, Australian National University, Canberra, Australia
|
|
// m.dow@anu.edu.au
|
|
//
|
|
// Suite of procedures for finding the (complex) roots of the quadratic,
|
|
// cubic or quartic polynomials by explicit algebraic methods.
|
|
// Each Returns:
|
|
//
|
|
// x=r[1][k] + i r[2][k] k=1,...,n, where n={2,3,4}
|
|
//
|
|
// as roots of:
|
|
// sum_{k=0:n} p[k] x^(n-k) = 0
|
|
// Assumes p[0] != 0. (< or > 0) (overflows otherwise)
|
|
|
|
// --------------------------- HISTORY --------------------------------------
|
|
//
|
|
// 13.05.05 V.Grichine ( Vladimir.Grichine@cern.ch )
|
|
// First implementation in C++
|
|
|
|
#ifndef G4AN_POL_SOLVER_HH
|
|
#define G4AN_POL_SOLVER_HH
|
|
|
|
#include "G4Types.hh"
|
|
|
|
class G4AnalyticalPolSolver
|
|
{
|
|
public: // with description
|
|
|
|
G4AnalyticalPolSolver();
|
|
~G4AnalyticalPolSolver();
|
|
|
|
G4int QuadRoots( G4double p[5], G4double r[3][5]);
|
|
G4int CubicRoots( G4double p[5], G4double r[3][5]);
|
|
G4int BiquadRoots( G4double p[5], G4double r[3][5]);
|
|
G4int QuarticRoots( G4double p[5], G4double r[3][5]);
|
|
};
|
|
|
|
#endif
|