Intrepid
Intrepid_CubatureDirectLineGaussDef.hpp
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43 
49 namespace Intrepid {
50 
51 template <class Scalar, class ArrayPoint, class ArrayWeight>
52 CubatureDirectLineGauss<Scalar,ArrayPoint,ArrayWeight>::CubatureDirectLineGauss(const int degree) {
53  this->degree_ = degree;
54  this->dimension_ = 1;
55  TEUCHOS_TEST_FOR_EXCEPTION((degree < 0) || (degree > INTREPID_CUBATURE_LINE_GAUSS_MAX_ENUM),
56  std::out_of_range,
57  ">>> ERROR (CubatureDirectLineGauss): No cubature rule implemented for the desired polynomial degree.");
58 } // end constructor
59 
60 
61 
62 template <class Scalar, class ArrayPoint, class ArrayWeight>
63 const CubatureTemplate * CubatureDirectLineGauss<Scalar,ArrayPoint,ArrayWeight>::exposeCubatureData() const {
64  return cubature_data_;
65 }
66 
67 
68 
69 template <class Scalar, class ArrayPoint, class ArrayWeight>
70 int CubatureDirectLineGauss<Scalar,ArrayPoint,ArrayWeight>::getMaxAccuracy() const {
71  return INTREPID_CUBATURE_LINE_GAUSS_MAX_ENUM;
72 }
73 
74 
75 
76 template <class Scalar, class ArrayPoint, class ArrayWeight>
77 const char* CubatureDirectLineGauss<Scalar,ArrayPoint,ArrayWeight>::getName() const {
78  return cubature_name_;
79 } // end getName
80 
81 
82 
83 template <class Scalar, class ArrayPoint, class ArrayWeight>
84 const char* CubatureDirectLineGauss<Scalar,ArrayPoint,ArrayWeight>::cubature_name_ = "INTREPID_CUBATURE_LINE_GAUSS";
85 
86 
87 //-------------------------------------------------------------------------------------//
88 // Definition of cubature templates //
89 //-------------------------------------------------------------------------------------//
90 
91 /*
92  Cubature templates for lines are defined the reference cell:
93 
94  Line -> (-1,0,0),(1,0,0)
95 */
96 
97 /*
98  This static const member contains templates for Gauss(-Legendre) rules.
99 */
100 
101 template <class Scalar, class ArrayPoint, class ArrayWeight>
102 const CubatureTemplate CubatureDirectLineGauss<Scalar,ArrayPoint,ArrayWeight>::cubature_data_[INTREPID_CUBATURE_LINE_GAUSS_MAX_ENUM+1] =
103 {
104 
105  // Collection of Gauss rules on [-1,1]
106  // The rule with array index i is exact for polynomials up to order i
107  {
108  1,
109  {{0e0, 0.0, 0.0}},
110  {2e0}
111  },
112  {
113  1,
114  {{0e0, 0.0, 0.0}},
115  {2e0}
116  },
117  {
118  2,
119  {{5.773502691896257645091487805019574556476e-1, 0.0, 0.0},
120  {-5.773502691896257645091487805019574556476e-1, 0.0, 0.0}},
121  {1e0,
122  1e0}
123  },
124  {
125  2,
126  {{5.773502691896257645091487805019574556476e-1, 0.0, 0.0},
127  {-5.773502691896257645091487805019574556476e-1, 0.0, 0.0}},
128  {1e0,
129  1e0}
130  },
131  {
132  3,
133  {{7.745966692414833770358530799564799221666e-1, 0.0, 0.0},
134  {0e0, 0.0, 0.0},
135  {-7.745966692414833770358530799564799221666e-1, 0.0, 0.0}},
136  {5.555555555555555555555555555555555555556e-1,
137  8.888888888888888888888888888888888888889e-1,
138  5.555555555555555555555555555555555555556e-1}
139  },
140  {
141  3,
142  {{7.745966692414833770358530799564799221666e-1, 0.0, 0.0},
143  {0e0, 0.0, 0.0},
144  {-7.745966692414833770358530799564799221666e-1, 0.0, 0.0}},
145  {5.555555555555555555555555555555555555556e-1,
146  8.888888888888888888888888888888888888889e-1,
147  5.555555555555555555555555555555555555556e-1}
148  },
149  {
150  4,
151  {{8.611363115940525752239464888928095050957e-1, 0.0, 0.0},
152  {3.399810435848562648026657591032446872006e-1, 0.0, 0.0},
153  {-3.399810435848562648026657591032446872006e-1, 0.0, 0.0},
154  {-8.611363115940525752239464888928095050957e-1, 0.0, 0.0}},