/usr/include/casacore/scimath/Functionals/Gaussian3D2.tcc is in casacore-dev 2.2.0-2.
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//# Copyright (C) 2001,2002
//# Associated Universities, Inc. Washington DC, USA.
//#
//# This library is free software; you can redistribute it and/or modify it
//# under the terms of the GNU Library General Public License as published by
//# the Free Software Foundation; either version 2 of the License, or (at your
//# option) any later version.
//#
//# This library is distributed in the hope that it will be useful, but WITHOUT
//# ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
//# FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public
//# License for more details.
//#
//# You should have received a copy of the GNU Library General Public License
//# along with this library; if not, write to the Free Software Foundation,
//# Inc., 675 Massachusetts Ave, Cambridge, MA 02139, USA.
//#
//# Correspondence concerning AIPS++ should be addressed as follows:
//# Internet email: aips2-request@nrao.edu.
//# Postal address: AIPS++ Project Office
//# National Radio Astronomy Observatory
//# 520 Edgemont Road
//# Charlottesville, VA 22903-2475 USA
//#
//# $Id$
#ifndef SCIMATH_GAUSSIAN3D2_TCC
#define SCIMATH_GAUSSIAN3D2_TCC
#include <casacore/scimath/Functionals/Gaussian3D.h>
#include <casacore/casa/Arrays/ArrayMath.h>
#include <casacore/casa/Arrays/Vector.h>
#include <casacore/casa/Containers/Block.h>
#include <casacore/casa/Exceptions/Error.h>
#include <casacore/casa/BasicSL/Constants.h>
#include <casacore/casa/BasicMath/Math.h>
namespace casacore { //# NAMESPACE CASACORE - BEGIN
template<class T>
Gaussian3D<AutoDiff<T> >::Gaussian3D()
: Gaussian3DParam<AutoDiff<T> >()
{}
template<class T>
Gaussian3D<AutoDiff<T> >::Gaussian3D(AutoDiff<T> &height,
AutoDiff<T> &xCenter,
AutoDiff<T> &yCenter,
AutoDiff<T> &zCenter,
AutoDiff<T> &xWidth,
AutoDiff<T> &yWidth,
AutoDiff<T> &zWidth,
AutoDiff<T> &theta,
AutoDiff<T> &phi)
: Gaussian3DParam<AutoDiff<T> >(height, xCenter, yCenter, zCenter,
xWidth, yWidth, zWidth, theta, phi)
{}
template<class T>
Gaussian3D<AutoDiff<T> >::Gaussian3D(const AutoDiff<T>& height,
const Vector<AutoDiff<T> >& center,
const Vector<AutoDiff<T> >& width,
const AutoDiff<T>& theta,
const AutoDiff<T>& phi)
: Gaussian3DParam<AutoDiff<T> >(height, center, width, theta, phi)
{}
template<class T>
Gaussian3D<AutoDiff<T> >::~Gaussian3D()
{}
template<class T>
Gaussian3D<AutoDiff<T> >::Gaussian3D(const Gaussian3D<AutoDiff<T> >& other)
: Gaussian3DParam<AutoDiff<T> >(other)
{}
template<class T>
Gaussian3D<AutoDiff<T> >& Gaussian3D<AutoDiff<T> >::operator=(const Gaussian3D<AutoDiff<T> >& other)
{
Gaussian3DParam<AutoDiff<T> >::operator=(other);
return *this;
}
template<class T>
AutoDiff<T> Gaussian3D<AutoDiff<T> >::eval(typename Function<AutoDiff<T> >::FunctionArg x) const
{
uInt k;
AutoDiff<T> tmp;
//
if (this->stoT_p != this->param_p[Gaussian3DParam<AutoDiff<T> >::THETA]
|| this->stoP_p != this->param_p[Gaussian3DParam<AutoDiff<T> >::PHI]) {
this->settrigvals();
}
const T cosTV = this->cosT_p.value();
const T cosPV = this->cosP_p.value();
const T sinTV = this->sinT_p.value();
const T sinPV = this->sinP_p.value();
const T cosTcosPV = this->cosTcosP_p.value();
const T cosTsinPV = this->cosTsinP_p.value();
const T sinTcosPV = this->sinTcosP_p.value();
const T sinTsinPV = this->sinTsinP_p.value();
if (this->param_p[Gaussian3DParam<AutoDiff<T> >::H].nDerivatives() > 0) {
tmp = this->param_p[Gaussian3DParam<AutoDiff<T> >::H];
} else if (this->param_p[Gaussian3DParam<AutoDiff<T> >::CX].nDerivatives() > 0) {
tmp = this->param_p[Gaussian3DParam<AutoDiff<T> >::CX];
} else if (this->param_p[Gaussian3DParam<AutoDiff<T> >::CY].nDerivatives() > 0) {
tmp = this->param_p[Gaussian3DParam<AutoDiff<T> >::CY];
} else if (this->param_p[Gaussian3DParam<AutoDiff<T> >::CZ].nDerivatives() > 0) {
tmp = this->param_p[Gaussian3DParam<AutoDiff<T> >::CZ];
} else if (this->param_p[Gaussian3DParam<AutoDiff<T> >::AX].nDerivatives() > 0) {
tmp = this->param_p[Gaussian3DParam<AutoDiff<T> >::AX];
} else if (this->param_p[Gaussian3DParam<AutoDiff<T> >::AY].nDerivatives() > 0) {
tmp = this->param_p[Gaussian3DParam<AutoDiff<T> >::AY];
} else if (this->param_p[Gaussian3DParam<AutoDiff<T> >::AZ].nDerivatives() > 0) {
tmp = this->param_p[Gaussian3DParam<AutoDiff<T> >::AZ];
} else if (this->param_p[Gaussian3DParam<AutoDiff<T> >::THETA].nDerivatives() > 0) {
tmp = this->param_p[Gaussian3DParam<AutoDiff<T> >::THETA];
} else if (this->param_p[Gaussian3DParam<AutoDiff<T> >::PHI].nDerivatives() > 0) {
tmp = this->param_p[Gaussian3DParam<AutoDiff<T> >::PHI];
}
T value;
///
const T Ax = this->param_p[Gaussian3DParam<AutoDiff<T> >::AX].value() * this->fwhm2int.value();
const T Ay = this->param_p[Gaussian3DParam<AutoDiff<T> >::AY].value() * this->fwhm2int.value();
const T Az = this->param_p[Gaussian3DParam<AutoDiff<T> >::AZ].value() * this->fwhm2int.value();
const T Nx = x[0] - this->param_p[Gaussian3DParam<AutoDiff<T> >::CX].value();
const T Ny = x[1] - this->param_p[Gaussian3DParam<AutoDiff<T> >::CY].value();
const T Nz = x[2] - this->param_p[Gaussian3DParam<AutoDiff<T> >::CZ].value();
const T Ax2 = Ax * Ax;
const T Ay2 = Ay * Ay;
const T Az2 = Az * Az;
const T xrowterm = cosTcosPV*Nx + sinTV*Ny - cosTsinPV*Nz;
const T yrowterm = -sinTcosPV*Nx + cosTV*Ny + sinTsinPV*Nz;
const T zrowterm = sinPV*Nx + cosPV*Nz;
const T xwidthterm = xrowterm/Ax;
const T ywidthterm = yrowterm/Ay;
const T zwidthterm = zrowterm/Az;
const T xwidthterm2 = xwidthterm * xwidthterm;
const T ywidthterm2 = ywidthterm * ywidthterm;
const T zwidthterm2 = zwidthterm * zwidthterm;
const T expterm = exp(-xwidthterm2 - ywidthterm2 - zwidthterm2);
value = expterm * this->param_p[Gaussian3DParam<AutoDiff<T> >::H].value();
const T tvalue = value * 2.0;
//function value
tmp.value() = value;
if (tmp.nDerivatives() > 0)
{
for (k = 0; k < tmp.nDerivatives(); k++) tmp.deriv(k) = 0.0;
// derivative wrt height
if (this->param_p.mask(Gaussian3DParam<AutoDiff<T> >::H))
tmp.deriv(Gaussian3DParam<AutoDiff<T> >::H) = expterm;
// derivative wrt Cx (mean)
if (this->param_p.mask(Gaussian3DParam<AutoDiff<T> >::CX))
tmp.deriv(Gaussian3DParam<AutoDiff<T> >::CX) = tvalue * ( cosTcosPV * xrowterm / Ax2
- sinTcosPV * yrowterm / Ay2
+ sinPV * zrowterm / Az2);
// derivative wrt Cy (mean)
if (this->param_p.mask(Gaussian3DParam<AutoDiff<T> >::CY))
tmp.deriv(Gaussian3DParam<AutoDiff<T> >::CY) = tvalue * ( sinTV * xrowterm / Ax2
+ cosTV * yrowterm / Ay2);
// derivative wrt Cz (mean)
if (this->param_p.mask(Gaussian3DParam<AutoDiff<T> >::CZ))
tmp.deriv(Gaussian3DParam<AutoDiff<T> >::CZ) = tvalue * (- cosTsinPV * xrowterm / Ax2
+ sinTsinPV * yrowterm / Ay2
+ cosPV * zrowterm / Az2);
// derivative wrt Ax
if (this->param_p.mask(Gaussian3DParam<AutoDiff<T> >::AX))
tmp.deriv(Gaussian3DParam<AutoDiff<T> >::AX) = tvalue * xwidthterm2/this->param_p[Gaussian3DParam<AutoDiff<T> >::AX].value();
// derivative wrt Ay
if (this->param_p.mask(Gaussian3DParam<AutoDiff<T> >::AY))
tmp.deriv(Gaussian3DParam<AutoDiff<T> >::AY) = tvalue * ywidthterm2/this->param_p[Gaussian3DParam<AutoDiff<T> >::AY].value();
// derivative wrt Az
if (this->param_p.mask(Gaussian3DParam<AutoDiff<T> >::AZ))
tmp.deriv(Gaussian3DParam<AutoDiff<T> >::AZ) = tvalue * zwidthterm2/this->param_p[Gaussian3DParam<AutoDiff<T> >::AZ].value();
// derivative wrt theta
if (this->param_p.mask(Gaussian3DParam<AutoDiff<T> >::THETA))
tmp.deriv(Gaussian3DParam<AutoDiff<T> >::THETA) = tvalue * ( xrowterm * yrowterm / Ay2
- xrowterm * yrowterm / Ax2);
// derivative wrt phi
if (this->param_p.mask(Gaussian3DParam<AutoDiff<T> >::PHI))
tmp.deriv(Gaussian3DParam<AutoDiff<T> >::PHI) = -tvalue *(xrowterm * (-Nx*cosTsinPV - Nz*cosTcosPV)/ Ax2
+ yrowterm * (Nx*sinTsinPV + Nz*sinTcosPV) / Ay2
+ zrowterm * (Nx*cosPV - Nz*sinPV) / Az2);
}
return tmp;
}
template<class T>
Function<AutoDiff<T> >* Gaussian3D<AutoDiff<T> >::clone() const
{
Function<AutoDiff<T> > *tmp = new Gaussian3D<AutoDiff<T> >(*this);
return tmp;
}
template <class T>
T Gaussian3D<AutoDiff<T> >::sq(T v) const
{
return v*v;
}
} //# NAMESPACE CASACORE - END
#endif
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