gmLobattoIntegrationTables.h

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/************************************************************************
**
** Copyright (C) 2014 by Carlos Augusto Teixera Mendes
** All rights reserved.
**
** This file is part of the "GeMA" software. It's use should respect
** the terms in the license agreement that can be found together 
** with this source code.
** It is provided AS IS, with NO WARRANTY OF ANY KIND, 
** INCLUDING THE WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR 
** A PARTICULAR PURPOSE.
**
************************************************************************/
 
#ifndef _GEMA_LOBATTO_INT_TABLES_H_
#define _GEMA_LOBATTO_INT_TABLES_H_
 
#include "gmCoreConfig.h"
#include "gmMatrix.h"
#include "gmVector.h"
 
#include <QVector>
 
class GMC_API_EXPORT GmLobattoIntegrationTables
{
public:
  static const QVector<QPair<double, double>>* lineRuleTable(int rule)
  {
    if(rule < 1 || rule > 11)
      return NULL;
    assert(!_lineTable[rule-1].isEmpty());
    return &_lineTable[rule-1];
  }
 
  static int lineRuleDegree(int rule) { return 2 * rule - 3; }
 
  static bool initTables();
 
private:
  static void initLineTable();
 
  static double jacobi(double eps, int p, double alpha, double beta);
  static double dJacobi(double eps, int order, double alpha, double beta);
  static double rootChevyshev(int indexRoot, int orderPol);
  static void   rootJacobi(int order, double alpha, double beta, GmVector& zeros);
  static void   quadPoints(int Q, GmMatrix & Quad);
 
  static QVector<QPair<double, double>> _lineTable[11];
};
 
#endif