ug4
gauss_quad.h
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1 /*
2  * Copyright (c) 2011-2015: G-CSC, Goethe University Frankfurt
3  * Author: Andreas Vogel
4  *
5  * This file is part of UG4.
6  *
7  * UG4 is free software: you can redistribute it and/or modify it under the
8  * terms of the GNU Lesser General Public License version 3 (as published by the
9  * Free Software Foundation) with the following additional attribution
10  * requirements (according to LGPL/GPL v3 §7):
11  *
12  * (1) The following notice must be displayed in the Appropriate Legal Notices
13  * of covered and combined works: "Based on UG4 (www.ug4.org/license)".
14  *
15  * (2) The following notice must be displayed at a prominent place in the
16  * terminal output of covered works: "Based on UG4 (www.ug4.org/license)".
17  *
18  * (3) The following bibliography is recommended for citation and must be
19  * preserved in all covered files:
20  * "Reiter, S., Vogel, A., Heppner, I., Rupp, M., and Wittum, G. A massively
21  * parallel geometric multigrid solver on hierarchically distributed grids.
22  * Computing and visualization in science 16, 4 (2013), 151-164"
23  * "Vogel, A., Reiter, S., Rupp, M., Nägel, A., and Wittum, G. UG4 -- a novel
24  * flexible software system for simulating pde based models on high performance
25  * computers. Computing and visualization in science 16, 4 (2013), 165-179"
26  *
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31  */
32 
33 #ifndef __H__UG__LIB_DISC__QUADRATURE__GAUSS_QUAD__GAUSS_QUAD__
34 #define __H__UG__LIB_DISC__QUADRATURE__GAUSS_QUAD__GAUSS_QUAD__
35 
36 #include "common/common.h"
37 #include "../quadrature.h"
39 
40 namespace ug{
41 
43 template <typename TRefElem, int order>
45 
47 template <typename TImpl, int TDim, int TOrder, int TNip>
49 {
50  public:
52  static const size_t dim = TDim;
53 
56 
59 
61  static const size_t p = TOrder;
62 
64  static const size_t nip = TNip;
65 
66  public:
68  static size_t size() {return nip;}
69 
71  static const MathVector<dim>& point(size_t i)
72  {UG_ASSERT(i < size(), "Wrong index"); return m_vPoint[i];}
73 
75  static const MathVector<dim>* points() {return m_vPoint;}
76 
78  static number weight(size_t i)
79  {UG_ASSERT(i < size(), "Wrong index"); return m_vWeight[i];}
80 
82  static const number* weights() {return m_vWeight;}
83 
85  static size_t order() {return p;}
86 
87  protected:
90 
92  static number m_vWeight[nip];
93 };
94 
96 
102 template <typename TRefElem>
104  : public QuadratureRule<TRefElem::dim>
105 {
106  public:
109 
112 };
113 
114 } // namespace ug
115 
116 // include implementation
117 #include "gauss_quad_vertex.h"
118 #include "gauss_quad_edge.h"
119 #include "gauss_quad_triangle.h"
121 #include "gauss_quad_tetrahedron.h"
122 #include "gauss_quad_pyramid.h"
123 #include "gauss_quad_prism.h"
124 #include "gauss_quad_hexahedron.h"
125 #include "gauss_quad_octahedron.h"
126 
127 
128 #endif /* __H__UG__LIB_DISC__QUADRATURE__GAUSS_QUAD__GAUSS_QUAD__ */
flexible order gauss quadrature
Definition: gauss_quad.h:105
~FlexGaussQuadrature()
Destructor.
Definition: gauss_quad.h:111
FlexGaussQuadrature(int order)
Constructor.
wrapper to ease implementation
Definition: gauss_quad.h:49
static size_t size()
number of integration points
Definition: gauss_quad.h:68
MathVector< dim > position_type
Position Type in Reference Element Space.
Definition: gauss_quad.h:55
static const MathVector< dim > * points()
returns all positions in an array of size()
Definition: gauss_quad.h:75
static const size_t nip
Number of integration points.
Definition: gauss_quad.h:64
static MathVector< dim > m_vPoint[nip]
integration points
Definition: gauss_quad.h:89
static size_t order()
returns the order
Definition: gauss_quad.h:85
static const size_t p
Order of quadrature rule.
Definition: gauss_quad.h:61
number weight_type
Type of weights.
Definition: gauss_quad.h:58
static number weight(size_t i)
return the i'th weight
Definition: gauss_quad.h:78
static number m_vWeight[nip]
weights
Definition: gauss_quad.h:92
static const size_t dim
Dimension of integration domain.
Definition: gauss_quad.h:52
static const MathVector< dim > & point(size_t i)
returns i'th integration point
Definition: gauss_quad.h:71
static const number * weights()
returns all weights in an array of size()
Definition: gauss_quad.h:82
fixed order gauss quadrature
Definition: gauss_quad.h:44
provides quadrature rule for a Reference Dimension
Definition: quadrature.h:70
size_t order() const
returns the order
Definition: quadrature.h:115
#define UG_ASSERT(expr, msg)
Definition: assert.h:70
double number
Definition: types.h:124
the ug namespace