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geant4/source/externals/clhep/src/EulerAngles.cc
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2020-12-04 12:30:43 +01:00

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// ----------------------------------------------------------------------
//
// EulerAngles.cc
//
// Methods for classes, and instances of globals, declared in EulerAngles.h
//
// History:
//
// 04-Dec-1997 MF Stub with just PI
// 12-Jan-1998 WEB PI now found in ZMutility; used ZMutility headers
// where available
// 16-Mar-1998 WEB Corrected ZMpvEulerAnglesRep
// 15-Jun-1998 WEB Added namespace support
// 26-Jul-2000 MF CLHEP version
// 12-Apr-2001 MF NaN-proofing
// 19-Nov-2001 MF Correction to ZMpvEulerAnglesRep, which was affecting
// .isNear(). array[3] had been incorrect.
// Note - the correct form was used in all other places
// including Rotation.set(phi, theta, psi).
//
// ----------------------------------------------------------------------
#include "CLHEP/Vector/EulerAngles.h"
#include "CLHEP/Vector/ThreeVector.h"
#include <cmath>
#include <iostream>
namespace CLHEP {
//-*************
// static consts
//-*************
double HepEulerAngles::tolerance = Hep3Vector::ToleranceTicks * 1.0e-8;
//-*******************
// measure of distance
//-*******************
static void ZMpvEulerAnglesRep ( const HepEulerAngles & ex, double array[] ) {
double sinPhi = std::sin( ex.phi() ) , cosPhi = std::cos( ex.phi() );
double sinTheta = std::sin( ex.theta() ), cosTheta = std::cos( ex.theta() );
double sinPsi = std::sin( ex.psi() ) , cosPsi = std::cos( ex.psi() );
array[0] = cosPsi * cosPhi - sinPsi * cosTheta * sinPhi;
array[1] = cosPsi * sinPhi + sinPsi * cosTheta * cosPhi;
array[2] = sinPsi * sinTheta;
array[3] = - sinPsi * cosPhi - cosPsi * cosTheta * sinPhi;
array[4] = - sinPsi * sinPhi + cosPsi * cosTheta * cosPhi;
array[5] = cosPsi * sinTheta;
array[6] = sinTheta * sinPhi;
array[7] = - sinTheta * cosPhi;
array[8] = cosTheta;
} // ZMpvEulerAnglesRep
double HepEulerAngles::distance( const EA & ex ) const {
double thisRep[9];
double exRep[9];
ZMpvEulerAnglesRep ( *this, thisRep );
ZMpvEulerAnglesRep ( ex, exRep );
double sum = 0.0;
for (int i = 0; i < 9; i++) {
sum += thisRep[i] * exRep[i];
}
double d = 3.0 - sum; // NaN-proofing:
return (d >= 0) ? d : 0; // sqrt(distance) is used in howNear()
} // HepEulerAngles::distance()
bool HepEulerAngles::isNear( const EA & ex, double epsilon ) const {
return distance( ex ) <= epsilon*epsilon ;
} // HepEulerAngles::isNear()
double HepEulerAngles::howNear( const EA & ex ) const {
return std::sqrt( distance( ex ) );
} // HepEulerAngles::howNear()
//-**************
// Global Methods
//-**************
std::ostream & operator<<(std::ostream & os, const HepEulerAngles & ea)
{
os << "(" << ea.phi() << ", " << ea.theta() << ", " << ea.psi() << ")";
return os;
} // operator<<()
void ZMinput3doubles ( std::istream & is, const char * type,
double & x, double & y, double & z );
std::istream & operator>>(std::istream & is, HepEulerAngles & ea) {
double thePhi;
double theTheta;
double thePsi;
ZMinput3doubles ( is, "HepEulerAngle", thePhi , theTheta , thePsi );
ea.set ( thePhi , theTheta , thePsi );
return is;
} // operator>>()
} // namespace CLHEP