SundanceClosedNewtonCotes.cpp

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//                             Sundance
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#include "SundanceClosedNewtonCotes.hpp"
#include "SundanceTriangleQuadrature.hpp"
#include "SundanceTetQuadrature.hpp"

using namespace Sundance;
using namespace Teuchos;

ClosedNewtonCotes::ClosedNewtonCotes(int order)
  : QuadratureFamilyBase(order)
{
  TEUCHOS_TEST_FOR_EXCEPTION(!(order==2 || order==3), std::runtime_error, "order " 
    << order << " not supported by ClosedNewtonCotes");
}

XMLObject ClosedNewtonCotes::toXML() const 
{
  XMLObject rtn("ClosedNewtonCotes");
  rtn.addAttribute("order", Teuchos::toString(order()));
  return rtn;
}


void ClosedNewtonCotes::getLineRule(Array<Point>& quadPoints,
                                     Array<double>& quadWeights) const 
{
  Array<double> x;
  if (order()==2)
  {
    x = tuple(0.0, 1.0);
    quadWeights = tuple(0.5, 0.5);
  }
  else 
  {
    x = tuple(0.0, 0.5, 1.0);
    quadWeights = tuple(1.0/6.0, 2.0/3.0, 1.0/6.0);
  }
  quadPoints.resize(x.size());
    
  for (int i=0; i<x.length(); i++)
  {
    quadPoints[i] = Point(x[i]);
  }
}

void ClosedNewtonCotes::getTriangleRule(Array<Point>& quadPoints,
                                          Array<double>& quadWeights) const 
{
  if (order()==2)
  {
    quadPoints=tuple(Point(0.0, 0.0), Point(1.0, 0.0), Point(0.0, 1.0));
    quadWeights=tuple(1.0/3.0, 1.0/3.0, 1.0/3.0);
  }
  else
  {
    quadPoints = tuple(Point(0.0, 0.0), Point(0.5, 0.0), Point(1.0, 0.0),
      Point(0.5, 0.5), Point(0.0, 1.0), Point(0.0, 0.5),
      Point(1.0/3.0, 1.0/3.0));
    quadWeights = tuple(3.0/60.0, 8.0/60.0, 3.0/60.0,
      8.0/60.0, 3.0/60.0, 8.0/60.0,
      27.0/60.0);
  }
  for (int i=0; i<quadWeights.size(); i++)
    {
      quadWeights[i] *=  0.5;
    }
}