boost::math::quaternion< T > Singleton Reference

#include <math_fwd.hpp>

Collaboration diagram for boost::math::quaternion< T >:

Public Types
typedef T	value_type

Public Member Functions
	quaternion (T const &requested_a=T(), T const &requested_b=T(), T const &requested_c=T(), T const &requested_d=T())
	quaternion (::std::complex< T > const &z0,::std::complex< T > const &z1=::std::complex< T >())
template<typename X >
	quaternion (quaternion< X > const &a_recopier)
T	real () const
quaternion< T >	unreal () const
T	R_component_1 () const
T	R_component_2 () const
T	R_component_3 () const
T	R_component_4 () const
::std::complex< T >	C_component_1 () const
::std::complex< T >	C_component_2 () const
template<typename X >
quaternion< T > &	operator= (quaternion< X > const &a_affecter)
quaternion< T > &	operator= (quaternion< T > const &a_affecter)
quaternion< T > &	operator= (T const &a_affecter)
quaternion< T > &	operator= (::std::complex< T > const &a_affecter)
quaternion< T > &	operator+= (T const &rhs)
quaternion< T > &	operator+= (::std::complex< T > const &rhs)
template<typename X >
quaternion< T > &	operator+= (quaternion< X > const &rhs)
quaternion< T > &	operator-= (T const &rhs)
quaternion< T > &	operator-= (::std::complex< T > const &rhs)
template<typename X >
quaternion< T > &	operator-= (quaternion< X > const &rhs)
quaternion< T > &	operator*= (T const &rhs)
quaternion< T > &	operator*= (::std::complex< T > const &rhs)
template<typename X >
quaternion< T > &	operator*= (quaternion< X > const &rhs)
quaternion< T > &	operator/= (T const &rhs)
quaternion< T > &	operator/= (::std::complex< T > const &rhs)
template<typename X >
quaternion< T > &	operator/= (quaternion< X > const &rhs)

Protected Attributes
T	a
T	b
T	c
T	d

Member Typedef Documentation

template<typename T>

typedef T boost::math::quaternion< T >::value_type

Constructor & Destructor Documentation

template<typename T>

boost::math::quaternion< T >::quaternion ( T const &  requested_a = T(), T const &  requested_b = T(), T const &  requested_c = T(), T const &  requested_d = T()  )

inlineexplicit

template<typename T>

boost::math::quaternion< T >::quaternion ( ::std::complex< T > const &  z0, ::std::complex< T > const &  z1 = ::std::complex<T>()  )

inlineexplicit

template<typename T>

template<typename X >

boost::math::quaternion< T >::quaternion ( quaternion< X > const &  a_recopier )

inlineexplicit

Member Function Documentation

template<typename T>

::std::complex< T > boost::math::quaternion< T >::C_component_1 ( ) const

inline

template<typename T>

::std::complex< T > boost::math::quaternion< T >::C_component_2 ( ) const

inline

template<typename T>

quaternion<T>& boost::math::quaternion< T >::operator*= ( T const &  rhs )

inline

References boost::math::quaternion< T >::a, boost::xpressive::at, boost::math::quaternion< T >::b, boost::math::quaternion< T >::c, boost::math::quaternion< T >::d, and T.

template<typename T>

quaternion<T>& boost::math::quaternion< T >::operator*= ( ::std::complex< T > const &  rhs )

inline

References boost::math::quaternion< T >::a, boost::xpressive::at, boost::math::quaternion< T >::b, boost::math::quaternion< T >::c, boost::math::quaternion< T >::d, and T.

template<typename T>

template<typename X >

quaternion<T>& boost::math::quaternion< T >::operator*= ( quaternion< X > const &  rhs )

inline

References boost::math::quaternion< T >::a, boost::xpressive::at, boost::math::quaternion< T >::b, boost::math::quaternion< T >::c, boost::math::quaternion< T >::d, boost::math::quaternion< T >::R_component_1(), boost::math::quaternion< T >::R_component_2(), boost::math::quaternion< T >::R_component_3(), boost::math::quaternion< T >::R_component_4(), and T.

template<typename T>

quaternion<T>& boost::math::quaternion< T >::operator+= ( T const &  rhs )

inline

References boost::math::quaternion< T >::a, boost::xpressive::at, and T.

template<typename T>

quaternion<T>& boost::math::quaternion< T >::operator+= ( ::std::complex< T > const &  rhs )

inline

References boost::math::quaternion< T >::a, boost::xpressive::at, boost::math::quaternion< T >::b, and T.

template<typename T>

template<typename X >

quaternion<T>& boost::math::quaternion< T >::operator+= ( quaternion< X > const &  rhs )

inline

References boost::math::quaternion< T >::a, boost::xpressive::at, boost::math::quaternion< T >::b, boost::math::quaternion< T >::c, boost::math::quaternion< T >::d, boost::math::quaternion< T >::R_component_1(), boost::math::quaternion< T >::R_component_2(), boost::math::quaternion< T >::R_component_3(), boost::math::quaternion< T >::R_component_4(), and T.

template<typename T>

quaternion<T>& boost::math::quaternion< T >::operator-= ( T const &  rhs )

inline

References boost::math::quaternion< T >::a, boost::xpressive::at, and T.

template<typename T>

quaternion<T>& boost::math::quaternion< T >::operator-= ( ::std::complex< T > const &  rhs )

inline

References boost::math::quaternion< T >::a, boost::xpressive::at, boost::math::quaternion< T >::b, and T.

template<typename T>

template<typename X >

quaternion<T>& boost::math::quaternion< T >::operator-= ( quaternion< X > const &  rhs )

inline

References boost::math::quaternion< T >::a, boost::xpressive::at, boost::math::quaternion< T >::b, boost::math::quaternion< T >::c, boost::math::quaternion< T >::d, boost::math::quaternion< T >::R_component_1(), boost::math::quaternion< T >::R_component_2(), boost::math::quaternion< T >::R_component_3(), boost::math::quaternion< T >::R_component_4(), and T.

template<typename T>

quaternion<T>& boost::math::quaternion< T >::operator/= ( T const &  rhs )

inline

References boost::math::quaternion< T >::a, boost::xpressive::at, boost::math::quaternion< T >::b, boost::math::quaternion< T >::c, boost::math::quaternion< T >::d, and T.

template<typename T>

quaternion<T>& boost::math::quaternion< T >::operator/= ( ::std::complex< T > const &  rhs )

inline

References boost::math::quaternion< T >::a, boost::xpressive::at, boost::math::quaternion< T >::b, boost::math::quaternion< T >::c, boost::math::quaternion< T >::d, boost::denominator(), and T.

template<typename T>

template<typename X >

quaternion<T>& boost::math::quaternion< T >::operator/= ( quaternion< X > const &  rhs )

inline

References boost::math::quaternion< T >::a, boost::xpressive::at, boost::math::quaternion< T >::b, boost::math::quaternion< T >::c, boost::math::quaternion< T >::d, boost::denominator(), boost::math::quaternion< T >::R_component_1(), boost::math::quaternion< T >::R_component_2(), boost::math::quaternion< T >::R_component_3(), boost::math::quaternion< T >::R_component_4(), and T.

template<typename T>

quaternion< T >& boost::math::quaternion< T >::operator= ( quaternion< T > const &  a_affecter )

inline

template<typename T>

template<typename X >

quaternion< T >& boost::math::quaternion< T >::operator= ( quaternion< X > const &  a_affecter )

inline

template<typename T>

quaternion< T >& boost::math::quaternion< T >::operator= ( T const &  a_affecter )

inline

template<typename T>

quaternion< T >& boost::math::quaternion< T >::operator= ( ::std::complex< T > const &  a_affecter )

inline

template<typename T>

T boost::math::quaternion< T >::R_component_1 ( ) const

inline

Referenced by boost::math::conj(), boost::math::quaternion< T >::operator*=(), boost::math::octonion< T >::operator*=(), boost::math::quaternion< T >::operator+=(), boost::math::octonion< T >::operator+=(), boost::math::operator-(), boost::math::quaternion< T >::operator-=(), boost::math::octonion< T >::operator-=(), boost::math::quaternion< T >::operator/=(), boost::math::octonion< T >::operator/=(), boost::math::operator==(), and boost::math::detail::quaternion_type_converter().

template<typename T>

T boost::math::quaternion< T >::R_component_2 ( ) const

inline

Referenced by boost::math::conj(), boost::math::cos(), boost::math::exp(), boost::math::quaternion< T >::operator*=(), boost::math::octonion< T >::operator*=(), boost::math::quaternion< T >::operator+=(), boost::math::octonion< T >::operator+=(), boost::math::operator-(), boost::math::quaternion< T >::operator-=(), boost::math::octonion< T >::operator-=(), boost::math::quaternion< T >::operator/=(), boost::math::octonion< T >::operator/=(), boost::math::operator==(), boost::math::detail::quaternion_type_converter(), and boost::math::sin().

template<typename T>

T boost::math::quaternion< T >::R_component_3 ( ) const

inline

Referenced by boost::math::conj(), boost::math::cos(), boost::math::exp(), boost::math::quaternion< T >::operator*=(), boost::math::quaternion< T >::operator+=(), boost::math::octonion< T >::operator+=(), boost::math::operator-(), boost::math::quaternion< T >::operator-=(), boost::math::octonion< T >::operator-=(), boost::math::quaternion< T >::operator/=(), boost::math::operator==(), boost::math::detail::quaternion_type_converter(), and boost::math::sin().

template<typename T>

T boost::math::quaternion< T >::R_component_4 ( ) const

inline

Referenced by boost::math::conj(), boost::math::cos(), boost::math::exp(), boost::math::quaternion< T >::operator*=(), boost::math::quaternion< T >::operator+=(), boost::math::octonion< T >::operator+=(), boost::math::operator-(), boost::math::quaternion< T >::operator-=(), boost::math::octonion< T >::operator-=(), boost::math::quaternion< T >::operator/=(), boost::math::operator==(), boost::math::detail::quaternion_type_converter(), and boost::math::sin().

template<typename T>

T boost::math::quaternion< T >::real ( ) const

inline

Referenced by boost::math::cos(), boost::math::exp(), boost::math::norm(), boost::math::real(), and boost::math::sin().

template<typename T>

quaternion< T > boost::math::quaternion< T >::unreal ( ) const

inline

Referenced by boost::math::cos(), boost::math::exp(), boost::math::sin(), and boost::math::unreal().

Member Data Documentation

template<typename T>

T boost::math::quaternion< T >::a

protected

Referenced by boost::math::cylindrical(), boost::math::multipolar(), boost::math::quaternion< T >::operator*=(), boost::math::quaternion< T >::operator+=(), boost::math::quaternion< T >::operator-=(), boost::math::quaternion< T >::operator/=(), boost::math::operator>>(), boost::math::semipolar(), and boost::math::spherical().

template<typename T>

T boost::math::quaternion< T >::b

protected

Referenced by boost::math::cylindrical(), boost::math::cylindrospherical(), boost::math::multipolar(), boost::math::quaternion< T >::operator*=(), boost::math::quaternion< T >::operator+=(), boost::math::quaternion< T >::operator-=(), boost::math::quaternion< T >::operator/=(), boost::math::operator>>(), boost::math::semipolar(), and boost::math::spherical().

template<typename T>

T boost::math::quaternion< T >::c

protected

Referenced by boost::math::cylindrospherical(), boost::math::multipolar(), boost::math::quaternion< T >::operator*=(), boost::math::quaternion< T >::operator+=(), boost::math::quaternion< T >::operator-=(), boost::math::quaternion< T >::operator/=(), boost::math::operator>>(), boost::math::semipolar(), and boost::math::spherical().

template<typename T>

T boost::math::quaternion< T >::d

protected

Referenced by boost::math::cylindrospherical(), boost::math::multipolar(), boost::math::quaternion< T >::operator*=(), boost::math::quaternion< T >::operator+=(), boost::math::quaternion< T >::operator-=(), boost::math::quaternion< T >::operator/=(), boost::math::operator>>(), boost::math::semipolar(), and boost::math::spherical().

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The documentation for this singleton was generated from the following file:

• boost_1_57_0/boost/math/quaternion.hpp