Discontinuous Galerkin Library
#include "dg/algorithm.h"
dlt.h
Go to the documentation of this file.
1#ifndef _DLT_CUH_
2#define _DLT_CUH_
3
4#include <fstream>
5#include <sstream>
6#include <stdexcept>
7#include <vector>
8#include "dg/backend/exceptions.h"
9
10
14namespace dg{
15
21template< class real_type>
22class DLT
23{
24 public:
25
32 DLT( unsigned n=3);
33
35 unsigned n() const { return w_.size();}
36
42 const std::vector<real_type>& weights()const {return w_;}
48 const std::vector<real_type>& abscissas()const {return a_;}
55 const std::vector<real_type>& forward()const {return forw_;}
62 const std::vector<real_type>& backward()const {return back_;}
71 const std::vector<real_type>& backwardEQ()const {return backEQ_;}
72
73 private:
74 std::vector<real_type> a_, w_, forw_, back_, backEQ_;
75};
76
78template<class real_type>
79DLT<real_type>::DLT( unsigned n):a_(n), w_(n), forw_(n*n), back_(n*n),backEQ_(n*n)
80{
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183
184 double x;
185 for( unsigned i=1; i<n; i++)
186 {
187 for( unsigned j=0; j<2*i+3*i*i ;j++)
188 stream >> x;
189 }
190 for( unsigned j=0; j<n; j++) stream >> a_[j];
191 for( unsigned j=0; j<n; j++) stream >> w_[j];
192 for( unsigned j=0; j<n*n; j++) stream >> back_[j];
193 for( unsigned j=0; j<n*n; j++) stream >> forw_[j];
194 for( unsigned j=0; j<n*n; j++) stream >> backEQ_[j];
195
196 if( n==0) throw Error( Message(_ping_) << "n==0 not allowed! You typed "<<n);
197 if( !stream.good())
198 throw Error( Message(_ping_)<<"n>20 not allowed! You typed: "<<n );
199}
200
201
203} //namespace dg
204#endif//_DLT_CUH_
dg::DLT
Struct holding coefficients for Discrete Legendre Transformation (DLT) related operations.
Definition: dlt.h:23
dg::DLT::weights
const std::vector< real_type > & weights() const
Return Gauss-Legendre weights.
Definition: dlt.h:42
dg::DLT::backward
const std::vector< real_type > & backward() const
Return backward DLT trafo matrix.
Definition: dlt.h:62
dg::DLT::backwardEQ
const std::vector< real_type > & backwardEQ() const
Return equidistant backward DLT trafo matrix.
Definition: dlt.h:71
dg::DLT::forward
const std::vector< real_type > & forward() const
Return forward DLT trafo matrix.
Definition: dlt.h:55
dg::DLT::DLT
DLT(unsigned n=3)
Initialize coefficients.
dg::DLT::abscissas
const std::vector< real_type > & abscissas() const
Return Gauss-Legendre nodes on the interval [-1,1].
Definition: dlt.h:48
dg::DLT::n
unsigned n() const
# of polynomial coefficients
Definition: dlt.h:35
exceptions.h
Error classes or the dg library.
_ping_
#define _ping_
Definition: exceptions.h:12
dg
This is the namespace for all functions and classes defined and used by the discontinuous Galerkin li...