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decl-output.h
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decl-output.h
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///////////////////////////////////////////////////////////
//
// This header contains the declerations for the tools
// necessary to convert the spherical harmonics to a 3D
// Cartesian phasespace.
///////////////////////////////////////////////////////////
//
//
// namespace Savedata::
//
// 1. struct Pout::
// This structure contains the output momentum axis. It also
// provides the folowing methods:
// a) Deposit "sqrt(p1(i)^2+p2(j)^2+p3(k)^2) in a 3D Matrix.
// b) Deposit costh = pz/pradius in a 3D Matrix (given pradius).
// c) Deposit arctan2(py/px) in a 3D Matrix.
//
// 2. class PLegendre::
// A 3D space is generated from p1, p2, p3 axis. The cos8 for
// this 3D space is calculated and then the Legendre polynomials
// for each cos8 are calculated. We end up with a triangular l,m
// array containing 3D matrices of the polynomials for each cos8
//
// 3. class Y_x0_p1p2p3::
// Generates the 3D output p1 p2 p3 for the sum of the
// harmonics at a certain cell. Since it requires a fair
// number of harmonics it is advisable to use a low number
// for nump1 nump2 nump3
//
///////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////
#ifndef DECL_IMPL_OUT_H
#define DECL_IMPL_OUT_H
//**************************************************************
//**************************************************************
// Declerations for Savedata
//**************************************************************
//**************************************************************
//**************************************************************
namespace Savedata{
//**************************************************************
//--------------------------------------------------------------
// Evaluation of the Legendre Polynomials for a given x
//--------------------------------------------------------------
void Legendre(float x, Matrix2D<float>& P_Legendre);
//--------------------------------------------------------------
//--------------------------------------------------------------
struct Pout1D {
//--------------------------------------------------------------
// Group of output momentum Axis
//--------------------------------------------------------------
Axis<float> pr, px;
// Struct constructor
Pout1D(size_t numpx, float pxmax,
size_t nump, float pmin, float pmax) :
px(numpx,pxmax), pr(nump, pmin, pmax)/*,
pr(prin.dim(),prin(0),prin(prin.dim()-1)) */{}
// Methods
void ppolarrad(Matrix2D<float>& pprad);
void costheta(Matrix2D<float>& costh);
};
//--------------------------------------------------------------
//--------------------------------------------------------------
struct Pout {
//--------------------------------------------------------------
// Group of output momentum Axis
//--------------------------------------------------------------
Axis<float> p1, p2, p3;
// Struct constructor
Pout(size_t nump1, size_t nump2, size_t nump3, float pmax) :
p1(nump1,pmax), p2(nump2, pmax), p3(nump3,pmax) {}
// Methods
void pradius(Matrix3D<float>& prad);
void costheta(Matrix3D<float>& costh);
void atanphi(Matrix3D<float>& atphi);
};
//--------------------------------------------------------------
//--------------------------------------------------------------
class PLegendre {
//--------------------------------------------------------------
// A 3D space is generated from p1, p2, p3 axis. The cos8 for
// this 3D space is calculated and then the Legendre polynomials
// for each cos8 are calculated. We end up with a triangular l,m
// array containing 3D matrices of the polynomials for each cos8
//--------------------------------------------------------------
private:
valarray< Matrix3D<float> > *plegendre;
size_t lmax, mmax;
// Indexing for triangular array
Matrix2D<int> ind;
public:
// Constructors/Destructors
PLegendre(size_t l, size_t m, Pout& pout);
PLegendre(const PLegendre& other);
~PLegendre();
// Access
size_t dim() const {return (*plegendre).size();}
size_t l_max() const {return lmax;}
size_t m_max() const {return mmax;}
Matrix3D<float>& operator()(size_t i) {return (*plegendre)[i];}
Matrix3D<float> operator()(size_t i) const {return (*plegendre)[i];}
Matrix3D<float>& operator()(size_t il, size_t im) {return (*plegendre)[ind(il,im)];}
// Operators
PLegendre& operator=(const float& d);
PLegendre& operator=(const Matrix3D<float>& m);
PLegendre& operator=(const PLegendre& other);
PLegendre& operator*=(const float& d);
PLegendre& operator*=(const PLegendre& other);
PLegendre& operator+=(const float& d);
PLegendre& operator+=(const PLegendre& other);
PLegendre& operator-=(const float& d);
PLegendre& operator-=(const PLegendre& other);
PLegendre& update(Pout& pout);
};
//--------------------------------------------------------------
//--------------------------------------------------------------
class Y_x0_p1p2p3 {
//--------------------------------------------------------------
// This class converts the state Y at a specific spatial location
// "x0, y0" into a 3D cartesian grid p1p2p3, which is deposited in
// a 3D Matrix of floats
//--------------------------------------------------------------
public:
// Constructor/Destructor
Y_x0_p1p2p3(size_t l0, size_t m0, size_t nump1,
size_t nump2, size_t nump3, float pmax, Axis<double>& pr);
~Y_x0_p1p2p3();
// Methods
Matrix3D<float>& Convert(Stat& Y, size_t x0, size_t y0);//, Axis<double> pr);
private:
size_t lmax, mmax;
Pout axis;
PLegendre legendre;
Matrix3D<float> *pcart;
Matrix3D<float> pc_data;
Matrix3D<size_t> pind;
Axis<float> prf;
};
//--------------------------------------------------------------
//--------------------------------------------------------------
class PLegendre1D {
//--------------------------------------------------------------
// A 2D space is generated from px, |p| axis. The cos8 for
// this 2D space is calculated and then the Legendre polynomials
// for each cos8 are calculated. We end up with a 1D array for l
// containing 2D matrices of the polynomials for each cos8
//--------------------------------------------------------------
private:
valarray< Matrix2D<float> > *plegendre;
size_t lmax;
// Indexing for triangular array
//Matrix2D<int> ind;
public:
// Constructors/Destructors
PLegendre1D(size_t l, /*size_t m,*/ Pout1D& pout1D);
PLegendre1D(const PLegendre1D& other);
~PLegendre1D();
// Access
size_t dim() const {return (*plegendre).size();}
size_t l_max() const {return lmax;}
//size_t m_max() const {return mmax;}
Matrix2D<float>& operator()(size_t i) {return (*plegendre)[i];}
Matrix2D<float> operator()(size_t i) const {return (*plegendre)[i];}
//Matrix2D<float>& operator()(size_t il, size_t im) {return (*plegendre)[ind(il,im)];}
// Operators
PLegendre1D& operator=(const float& d);
PLegendre1D& operator=(const Matrix2D<float>& m);
PLegendre1D& operator=(const PLegendre1D& other);
PLegendre1D& operator*=(const float& d);
PLegendre1D& operator*=(const PLegendre1D& other);
PLegendre1D& operator+=(const float& d);
PLegendre1D& operator+=(const PLegendre1D& other);
PLegendre1D& operator-=(const float& d);
PLegendre1D& operator-=(const PLegendre1D& other);
PLegendre1D& update(Pout1D& pout1D);
};
//--------------------------------------------------------------
//--------------------------------------------------------------
class P1x1_1D {
//--------------------------------------------------------------
// This class converts the state Y at a specific spatial location
// "x0, y0" into a 3D cartesian grid p1p2p3, which is deposited in
// a 3D Matrix of floats
//--------------------------------------------------------------
public:
// Constructor/Destructor
P1x1_1D(size_t l0, size_t numpx, float pxmax, Axis<double>& pr);
~P1x1_1D();
// Methods
valarray<float>& p1x1_out(Stat& Y, size_t x0, size_t y0);//, Axis<double> pr);
private:
size_t lmax, mmax;
Pout1D axis;
PLegendre1D legendre;
valarray<float> *p1x1cart;
Matrix2D<float> pc_costheta;
Matrix2D<float> pc_polradius;
};
//--------------------------------------------------------------
}
#endif