Intrepid_CubaturePolylibDef.hpp

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namespace Intrepid {

template <class Scalar, class ArrayPoint, class ArrayWeight>
CubaturePolylib<Scalar,ArrayPoint,ArrayWeight>::CubaturePolylib(int degree, EIntrepidPLPoly poly_type, Scalar alpha, Scalar beta) {
  TEUCHOS_TEST_FOR_EXCEPTION((degree < 0),
                     std::out_of_range,
                     ">>> ERROR (CubaturePolylib): No cubature rule implemented for the desired polynomial degree.");
  degree_    = degree;
  dimension_ = 1;
  poly_type_ = poly_type;
  alpha_     = alpha;
  beta_      = beta;
} // end constructor



template <class Scalar, class ArrayPoint, class ArrayWeight>
const char* CubaturePolylib<Scalar,ArrayPoint,ArrayWeight>::getName() const {
  return cubature_name_;
} // end getName



template <class Scalar, class ArrayPoint, class ArrayWeight>
int CubaturePolylib<Scalar,ArrayPoint,ArrayWeight>::getDimension() const {
  return dimension_;
} // end dimension



template <class Scalar, class ArrayPoint, class ArrayWeight>
int CubaturePolylib<Scalar,ArrayPoint,ArrayWeight>::getNumPoints() const {
  int np = 0;
  switch (poly_type_) {
    case PL_GAUSS:
      np = (degree_+(int)2)/(int)2;
      break;
    case PL_GAUSS_RADAU_LEFT:
    case PL_GAUSS_RADAU_RIGHT:
      if (degree_ == 0)
        np = 2;
      else
        np = (degree_+(int)3)/(int)2;
      break;
    case PL_GAUSS_LOBATTO:
      np = (degree_+(int)4)/(int)2;
      break;
    default:
      TEUCHOS_TEST_FOR_EXCEPTION((1),
                         std::invalid_argument,
                         ">>> ERROR (CubaturePolylib): Unknown point type argument.");
  }
  return np;
} // end getNumPoints



template <class Scalar, class ArrayPoint, class ArrayWeight>
void CubaturePolylib<Scalar,ArrayPoint,ArrayWeight>::getAccuracy(std::vector<int> & accuracy) const {
  accuracy.assign(1, degree_);
} // end getAccuracy



template <class Scalar, class ArrayPoint, class ArrayWeight>
const char* CubaturePolylib<Scalar,ArrayPoint,ArrayWeight>::cubature_name_ = "INTREPID_CUBATURE_POLYLIB";



template <class Scalar, class ArrayPoint, class ArrayWeight>
void CubaturePolylib<Scalar,ArrayPoint,ArrayWeight>::getCubature(ArrayPoint & cubPoints, ArrayWeight & cubWeights) const {
  int numCubPoints = getNumPoints();
  int cellDim      = getDimension();
  // check size of cubPoints and cubWeights
  TEUCHOS_TEST_FOR_EXCEPTION( ( ( (int)cubPoints.size() < numCubPoints*cellDim ) || ( (int)cubWeights.size() < numCubPoints ) ),
                      std::out_of_range,
                      ">>> ERROR (CubatureDirect): Insufficient space allocated for cubature points or weights.");

  // temporary storage
  FieldContainer<Scalar> z(numCubPoints);
  FieldContainer<Scalar> w(numCubPoints);

  // run Polylib routines
  switch (poly_type_) {
    case PL_GAUSS:
      IntrepidPolylib::zwgj(&z[0], &w[0], numCubPoints, alpha_, beta_);
      break;
    case PL_GAUSS_RADAU_LEFT:
      IntrepidPolylib::zwgrjm(&z[0], &w[0], numCubPoints, alpha_, beta_);
      break;
    case PL_GAUSS_RADAU_RIGHT:
      IntrepidPolylib::zwgrjp(&z[0], &w[0], numCubPoints, alpha_, beta_);
      break;
    case PL_GAUSS_LOBATTO:
      IntrepidPolylib::zwglj(&z[0], &w[0], numCubPoints, alpha_, beta_);
      break;
    default:
      TEUCHOS_TEST_FOR_EXCEPTION((1),
                         std::invalid_argument,
                         ">>> ERROR (CubaturePolylib): Unknown point type argument.");
  }

  // fill input arrays
  for (int pointId = 0; pointId < numCubPoints; pointId++) {
    for (int dim = 0; dim < cellDim; dim++) {
      cubPoints(pointId,dim) = z[pointId];
    }
    cubWeights(pointId) = w[pointId];
  }
} // end getCubature

template <class Scalar, class ArrayPoint, class ArrayWeight>
void CubaturePolylib<Scalar,ArrayPoint,ArrayWeight>::getCubature(ArrayPoint & cubPoints, 
                                                                 ArrayWeight & cubWeights,
                                                                 ArrayPoint& cellCoords) const
{
    TEUCHOS_TEST_FOR_EXCEPTION( (true), std::logic_error,
                      ">>> ERROR (CubaturePolylib): Cubature defined in reference space calling method for physical space cubature.");
}


} // end namespace Intrepid