RotationY.icc

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00001 // -*- C++ -*-
00002 // ---------------------------------------------------------------------------
00003 //
00004 // This file is a part of the CLHEP - a Class Library for High Energy Physics.
00005 // 
00006 // This is the definitions of the inline member functions of the
00007 // HepRotationY class
00008 //
00009 
00010 #include <cmath>
00011 #include "CLHEP/Units/PhysicalConstants.h"
00012 
00013 namespace CLHEP {
00014 
00015 inline double HepRotationY::xx() const { return its_c; }
00016 inline double HepRotationY::xz() const { return its_s; }
00017 inline double HepRotationY::zx() const { return -its_s; }
00018 inline double HepRotationY::zz() const { return its_c; }
00019 
00020 inline double HepRotationY::yy() const { return 1.0; }
00021 inline double HepRotationY::yx() const { return 0.0; }
00022 inline double HepRotationY::yz() const { return 0.0; }
00023 inline double HepRotationY::xy() const { return 0.0; }
00024 inline double HepRotationY::zy() const { return 0.0; }
00025 
00026 inline HepRep3x3 HepRotationY::rep3x3() const {
00027   return HepRep3x3 (  its_c, 0.0,  its_s,
00028                         0.0, 1.0,  0.0,
00029                      -its_s, 0.0,  its_c  );
00030 }
00031 
00032 inline HepRotationY::HepRotationY() : its_d(0.0), its_s(0.0), its_c(1.0) {}
00033 
00034 inline HepRotationY::HepRotationY(const HepRotationY & orig) : 
00035         its_d(orig.its_d), its_s(orig.its_s), its_c(orig.its_c)
00036 {}
00037 
00038 inline HepRotationY::HepRotationY(double dd, double ss, double cc) :
00039         its_d(dd), its_s(ss), its_c(cc)
00040 {}
00041 
00042 inline HepRotationY & HepRotationY::operator= (const HepRotationY & orig) {
00043   its_d = orig.its_d;
00044   its_s = orig.its_s; 
00045   its_c = orig.its_c;
00046   return *this;
00047 }
00048 
00049 inline HepRotationY::~HepRotationY() {}
00050 
00051 inline Hep3Vector HepRotationY::colX() const 
00052                                 { return Hep3Vector (  its_c,  0.0, -its_s ); }
00053 inline Hep3Vector HepRotationY::colY() const 
00054                                 { return Hep3Vector ( 0.0, 1.0, 0.0 ); }
00055 inline Hep3Vector HepRotationY::colZ() const 
00056                                 { return Hep3Vector (  its_s,  0.0,  its_c ); }
00057  
00058 inline Hep3Vector HepRotationY::rowX() const 
00059                                 { return Hep3Vector (  its_c,  0.0,  its_s ); }
00060 inline Hep3Vector HepRotationY::rowY() const 
00061                                 { return Hep3Vector ( 0.0, 1.0, 0.0 ); }
00062 inline Hep3Vector HepRotationY::rowZ() const 
00063                                 { return Hep3Vector (  -its_s, 0.0,  its_c ); }
00064 
00065 inline double  HepRotationY::getPhi  () const { return phi();   }
00066 inline double  HepRotationY::getTheta() const { return theta(); }
00067 inline double  HepRotationY::getPsi  () const { return psi();   }
00068 inline double  HepRotationY::getDelta() const { return its_d; }
00069 inline Hep3Vector HepRotationY::getAxis () const { return axis();  }
00070 
00071 inline double  HepRotationY::delta() const { return its_d; }
00072 inline Hep3Vector HepRotationY::axis() const { return Hep3Vector(0,1,0); }
00073 
00074 inline HepAxisAngle HepRotationY::axisAngle() const {
00075   return HepAxisAngle ( axis(), delta() );
00076 }
00077 
00078 inline void HepRotationY::getAngleAxis
00079                         (double & ddelta, Hep3Vector & aaxis) const {
00080   ddelta = its_d;
00081   aaxis  = getAxis();
00082 }
00083 
00084 inline bool HepRotationY::isIdentity() const {
00085   return ( its_d==0 );
00086 }
00087 
00088 inline int HepRotationY::compare ( const HepRotationY & r  ) const {
00089   if (its_d > r.its_d) return 1; else if (its_d < r.its_d) return -1; else return 0;
00090 }
00091 
00092 
00093 inline bool HepRotationY::operator==(const HepRotationY & r) const
00094   { return (its_d==r.its_d); }
00095 inline bool HepRotationY::operator!=(const HepRotationY & r) const
00096   { return (its_d!=r.its_d); }
00097 inline bool HepRotationY::operator>=(const HepRotationY & r) const
00098   { return (its_d>=r.its_d); }
00099 inline bool HepRotationY::operator<=(const HepRotationY & r) const
00100   { return (its_d<=r.its_d); }
00101 inline bool HepRotationY::operator> (const HepRotationY & r) const
00102   { return (its_d> r.its_d); }
00103 inline bool HepRotationY::operator< (const HepRotationY & r) const
00104   { return (its_d< r.its_d); }
00105 
00106 inline void HepRotationY::rectify() { 
00107   its_d = proper(its_d);  // Just in case!
00108   its_s = std::sin(its_d);
00109   its_c = std::cos(its_d);
00110 } 
00111 
00112 inline Hep3Vector HepRotationY::operator() (const Hep3Vector & p) const {
00113   double x = p.x();
00114   double y = p.y();
00115   double z = p.z();
00116   return  Hep3Vector(  x * its_c + z * its_s, 
00117                              y,
00118                        z * its_c - x * its_s  );
00119 }
00120 
00121 inline Hep3Vector HepRotationY::operator * (const Hep3Vector & p) const {
00122   return operator()(p);
00123 }
00124 
00125 inline HepLorentzVector HepRotationY::operator()
00126                         ( const HepLorentzVector & w ) const {
00127   return  HepLorentzVector( operator() (w.vect()) , w.t() );
00128 }
00129 
00130 inline HepLorentzVector HepRotationY::operator * 
00131                                         (const HepLorentzVector & p) const {
00132   return operator()(p);
00133 }
00134 
00135 inline HepRotationY & HepRotationY::operator *= (const HepRotationY & m1) {
00136   return *this = (*this) * (m1);
00137 }
00138 
00139 inline HepRotationY & HepRotationY::transform(const HepRotationY & m1) {
00140   return *this = m1 * (*this);
00141 }
00142 
00143 inline double HepRotationY::proper( double ddelta ) {
00144   // -PI < its_d <= PI
00145   if ( std::fabs(ddelta) < CLHEP::pi ) {
00146     return  ddelta;
00147   } else {
00148     register double x = ddelta / (CLHEP::twopi);
00149     return  (CLHEP::twopi) * ( x + std::floor(.5-x) );
00150   }
00151 }  // proper()
00152 
00153 inline HepRotationY HepRotationY::operator * ( const HepRotationY & ry ) const {
00154   return HepRotationY ( HepRotationY::proper(its_d+ry.its_d),
00155                         its_s*ry.its_c + its_c*ry.its_s,
00156                         its_c*ry.its_c - its_s*ry.its_s );
00157 }
00158 
00159 inline HepRotationY HepRotationY::inverse() const {
00160   return HepRotationY( proper(-its_d), -its_s, its_c ); 
00161 }
00162 
00163 inline HepRotationY inverseOf(const HepRotationY & r) {
00164   return r.inverse();
00165 }
00166 
00167 inline HepRotationY & HepRotationY::invert() {
00168   return *this=inverse();
00169 }
00170 
00171 inline HepLorentzVector HepRotationY::col1() const
00172                                 { return HepLorentzVector (colX(), 0); }
00173 inline HepLorentzVector HepRotationY::col2() const
00174                                 { return HepLorentzVector (colY(), 0); }
00175 inline HepLorentzVector HepRotationY::col3() const
00176                                 { return HepLorentzVector (colZ(), 0); }
00177 inline HepLorentzVector HepRotationY::col4() const
00178                                 { return HepLorentzVector (0,0,0,1); }
00179 inline HepLorentzVector HepRotationY::row1() const
00180                                 { return HepLorentzVector (rowX(), 0); }
00181 inline HepLorentzVector HepRotationY::row2() const
00182                                 { return HepLorentzVector (rowY(), 0); }
00183 inline HepLorentzVector HepRotationY::row3() const
00184                                 { return HepLorentzVector (rowZ(), 0); }
00185 inline HepLorentzVector HepRotationY::row4() const
00186                                 { return HepLorentzVector (0,0,0,1); }
00187 inline double HepRotationY::xt() const { return 0.0; }
00188 inline double HepRotationY::yt() const { return 0.0; }
00189 inline double HepRotationY::zt() const { return 0.0; }
00190 inline double HepRotationY::tx() const { return 0.0; }
00191 inline double HepRotationY::ty() const { return 0.0; }
00192 inline double HepRotationY::tz() const { return 0.0; }
00193 inline double HepRotationY::tt() const { return 1.0; }
00194 
00195 inline HepRep4x4 HepRotationY::rep4x4() const {
00196   return HepRep4x4 (  its_c, 0.0,  its_s,  0.0,
00197                         0.0, 1.0,    0.0,  0.0,
00198                      -its_s, 0.0,  its_c,  0.0,
00199                         0.0, 0.0,    0.0,  1.0 );
00200 }
00201 
00202 inline double HepRotationY::getTolerance() {
00203   return Hep4RotationInterface::tolerance;
00204 }
00205 inline double HepRotationY::setTolerance(double tol) {
00206   return Hep4RotationInterface::setTolerance(tol);
00207 }
00208 
00209 }  // namespace CLHEP

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