Gabriele Cosmo
76 lines
2.9 KiB
C++
76 lines
2.9 KiB
C++
//
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// ********************************************************************
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// * DISCLAIMER *
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// * *
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// * The following disclaimer summarizes all the specific disclaimers *
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// * of contributors to this software. The specific disclaimers,which *
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// * govern, are listed with their locations in: *
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// * http://cern.ch/geant4/license *
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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. *
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// * *
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// * This code implementation is the intellectual property of the *
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// * GEANT4 collaboration. *
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// * By copying, distributing or modifying the Program (or any work *
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// * based on the Program) you indicate your acceptance of this *
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// * statement, and all its terms. *
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// ********************************************************************
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//
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//
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// $Id: G4AnalyticalPolSolver.hh,v 1.4 2005/05/19 07:37:10 gcosmo Exp $
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// GEANT4 tag $Name: geant4-08-00 $
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//
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// Class description:
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//
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// G4AnalyticalPolSolver allows the user to solve analytically a polynomial
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// equation up to the 4th order. This is used by CSG solid tracking functions
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// like G4Torus.
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//
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// The algorithm has been adapted from the CACM Algorithm 326:
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//
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// Roots of low order polynomials
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// Author: Terence R.F.Nonweiler
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// CACM (Apr 1968) p269
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// Translated into C and programmed by M.Dow
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// ANUSF, Australian National University, Canberra, Australia
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// m.dow@anu.edu.au
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//
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// Suite of procedures for finding the (complex) roots of the quadratic,
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// cubic or quartic polynomials by explicit algebraic methods.
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// Each Returns:
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//
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// x=r[1][k] + i r[2][k] k=1,...,n, where n={2,3,4}
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//
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// as roots of:
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// sum_{k=0:n} p[k] x^(n-k) = 0
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// Assumes p[0] != 0. (< or > 0) (overflows otherwise)
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// --------------------------- HISTORY --------------------------------------
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//
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// 13.05.05 V.Grichine ( Vladimir.Grichine@cern.ch )
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// First implementation in C++
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#ifndef G4AN_POL_SOLVER_HH
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#define G4AN_POL_SOLVER_HH
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#include "G4Types.hh"
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class G4AnalyticalPolSolver
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{
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public: // with description
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G4AnalyticalPolSolver();
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~G4AnalyticalPolSolver();
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G4int QuadRoots( G4double p[5], G4double r[3][5]);
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G4int CubicRoots( G4double p[5], G4double r[3][5]);
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G4int BiquadRoots( G4double p[5], G4double r[3][5]);
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G4int QuarticRoots( G4double p[5], G4double r[3][5]);
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};
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#endif
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