Tiny Vector Matrix library using Expression Templates

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include/tvmet/xpr/VectorFunctions.h File Reference

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Namespaces
namespace	tvmet
namespace	tvmet::element_wise
Defines
#define	TVMET_DECLARE_MACRO(NAME)
#define	TVMET_DECLARE_MACRO(NAME, POD)
#define	TVMET_DECLARE_MACRO(NAME)
#define	TVMET_IMPLEMENT_MACRO(NAME)
#define	TVMET_IMPLEMENT_MACRO(NAME, POD)
#define	TVMET_IMPLEMENT_MACRO(NAME)
Functions
template<class E1, class E2, std::size_t Sz>
XprVector< XprBinOp< Fcnl_add< typename E1::value_type, typename E2::value_type >, XprVector< E1, Sz >, XprVector< E2, Sz > >, Sz >	tvmet::add (const XprVector< E1, Sz > &lhs, const XprVector< E2, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E1, class E2, std::size_t Sz>
XprVector< XprBinOp< Fcnl_sub< typename E1::value_type, typename E2::value_type >, XprVector< E1, Sz >, XprVector< E2, Sz > >, Sz >	tvmet::sub (const XprVector< E1, Sz > &lhs, const XprVector< E2, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E1, class E2, std::size_t Sz>
XprVector< XprBinOp< Fcnl_mul< typename E1::value_type, typename E2::value_type >, XprVector< E1, Sz >, XprVector< E2, Sz > >, Sz >	tvmet::mul (const XprVector< E1, Sz > &lhs, const XprVector< E2, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E1, class E2, std::size_t Sz>
XprVector< XprBinOp< Fcnl_div< typename E1::value_type, typename E2::value_type >, XprVector< E1, Sz >, XprVector< E2, Sz > >, Sz >	tvmet::element_wise::div (const XprVector< E1, Sz > &lhs, const XprVector< E2, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_add< typename E::value_type, int >, XprVector< E, Sz >, XprLiteral< int > >, Sz >	tvmet::add (const XprVector< E, Sz > &lhs, int rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_add< int, typename E::value_type >, XprLiteral< int >, XprVector< E, Sz > >, Sz >	tvmet::add (int lhs, const XprVector< E, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_sub< typename E::value_type, int >, XprVector< E, Sz >, XprLiteral< int > >, Sz >	tvmet::sub (const XprVector< E, Sz > &lhs, int rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_sub< int, typename E::value_type >, XprLiteral< int >, XprVector< E, Sz > >, Sz >	tvmet::sub (int lhs, const XprVector< E, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_mul< typename E::value_type, int >, XprVector< E, Sz >, XprLiteral< int > >, Sz >	tvmet::mul (const XprVector< E, Sz > &lhs, int rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_mul< int, typename E::value_type >, XprLiteral< int >, XprVector< E, Sz > >, Sz >	tvmet::mul (int lhs, const XprVector< E, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_div< typename E::value_type, int >, XprVector< E, Sz >, XprLiteral< int > >, Sz >	tvmet::div (const XprVector< E, Sz > &lhs, int rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_div< int, typename E::value_type >, XprLiteral< int >, XprVector< E, Sz > >, Sz >	tvmet::div (int lhs, const XprVector< E, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_add< typename E::value_type, float >, XprVector< E, Sz >, XprLiteral< float > >, Sz >	tvmet::add (const XprVector< E, Sz > &lhs, float rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_add< float, typename E::value_type >, XprLiteral< float >, XprVector< E, Sz > >, Sz >	tvmet::add (float lhs, const XprVector< E, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_sub< typename E::value_type, float >, XprVector< E, Sz >, XprLiteral< float > >, Sz >	tvmet::sub (const XprVector< E, Sz > &lhs, float rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_sub< float, typename E::value_type >, XprLiteral< float >, XprVector< E, Sz > >, Sz >	tvmet::sub (float lhs, const XprVector< E, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_mul< typename E::value_type, float >, XprVector< E, Sz >, XprLiteral< float > >, Sz >	tvmet::mul (const XprVector< E, Sz > &lhs, float rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_mul< float, typename E::value_type >, XprLiteral< float >, XprVector< E, Sz > >, Sz >	tvmet::mul (float lhs, const XprVector< E, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_div< typename E::value_type, float >, XprVector< E, Sz >, XprLiteral< float > >, Sz >	tvmet::div (const XprVector< E, Sz > &lhs, float rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_div< float, typename E::value_type >, XprLiteral< float >, XprVector< E, Sz > >, Sz >	tvmet::div (float lhs, const XprVector< E, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_add< typename E::value_type, double >, XprVector< E, Sz >, XprLiteral< double > >, Sz >	tvmet::add (const XprVector< E, Sz > &lhs, double rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_add< double, typename E::value_type >, XprLiteral< double >, XprVector< E, Sz > >, Sz >	tvmet::add (double lhs, const XprVector< E, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_sub< typename E::value_type, double >, XprVector< E, Sz >, XprLiteral< double > >, Sz >	tvmet::sub (const XprVector< E, Sz > &lhs, double rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_sub< double, typename E::value_type >, XprLiteral< double >, XprVector< E, Sz > >, Sz >	tvmet::sub (double lhs, const XprVector< E, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_mul< typename E::value_type, double >, XprVector< E, Sz >, XprLiteral< double > >, Sz >	tvmet::mul (const XprVector< E, Sz > &lhs, double rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_mul< double, typename E::value_type >, XprLiteral< double >, XprVector< E, Sz > >, Sz >	tvmet::mul (double lhs, const XprVector< E, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_div< typename E::value_type, double >, XprVector< E, Sz >, XprLiteral< double > >, Sz >	tvmet::div (const XprVector< E, Sz > &lhs, double rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_div< double, typename E::value_type >, XprLiteral< double >, XprVector< E, Sz > >, Sz >	tvmet::div (double lhs, const XprVector< E, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_add< typename E::value_type, long double >, XprVector< E, Sz >, XprLiteral< long double > >, Sz >	tvmet::add (const XprVector< E, Sz > &lhs, long double rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_add< long double, typename E::value_type >, XprLiteral< long double >, XprVector< E, Sz > >, Sz >	tvmet::add (long double lhs, const XprVector< E, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_sub< typename E::value_type, long double >, XprVector< E, Sz >, XprLiteral< long double > >, Sz >	tvmet::sub (const XprVector< E, Sz > &lhs, long double rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_sub< long double, typename E::value_type >, XprLiteral< long double >, XprVector< E, Sz > >, Sz >	tvmet::sub (long double lhs, const XprVector< E, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_mul< typename E::value_type, long double >, XprVector< E, Sz >, XprLiteral< long double > >, Sz >	tvmet::mul (const XprVector< E, Sz > &lhs, long double rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_mul< long double, typename E::value_type >, XprLiteral< long double >, XprVector< E, Sz > >, Sz >	tvmet::mul (long double lhs, const XprVector< E, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_div< typename E::value_type, long double >, XprVector< E, Sz >, XprLiteral< long double > >, Sz >	tvmet::div (const XprVector< E, Sz > &lhs, long double rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_div< long double, typename E::value_type >, XprLiteral< long double >, XprVector< E, Sz > >, Sz >	tvmet::div (long double lhs, const XprVector< E, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz, class T>
XprVector< XprBinOp< Fcnl_add< typename E::value_type, std::complex< T > >, XprVector< E, Sz >, XprLiteral< std::complex< T > > >, Sz >	tvmet::add (const XprVector< E, Sz > &lhs, const std::complex< T > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz, class T>
XprVector< XprBinOp< Fcnl_add< std::complex< T >, typename E::value_type >, XprLiteral< std::complex< T > >, XprVector< E, Sz > >, Sz >	tvmet::add (const std::complex< T > &lhs, const XprVector< E, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz, class T>
XprVector< XprBinOp< Fcnl_sub< typename E::value_type, std::complex< T > >, XprVector< E, Sz >, XprLiteral< std::complex< T > > >, Sz >	tvmet::sub (const XprVector< E, Sz > &lhs, const std::complex< T > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz, class T>
XprVector< XprBinOp< Fcnl_sub< std::complex< T >, typename E::value_type >, XprLiteral< std::complex< T > >, XprVector< E, Sz > >, Sz >	tvmet::sub (const std::complex< T > &lhs, const XprVector< E, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz, class T>
XprVector< XprBinOp< Fcnl_mul< typename E::value_type, std::complex< T > >, XprVector< E, Sz >, XprLiteral< std::complex< T > > >, Sz >	tvmet::mul (const XprVector< E, Sz > &lhs, const std::complex< T > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz, class T>
XprVector< XprBinOp< Fcnl_mul< std::complex< T >, typename E::value_type >, XprLiteral< std::complex< T > >, XprVector< E, Sz > >, Sz >	tvmet::mul (const std::complex< T > &lhs, const XprVector< E, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz, class T>
XprVector< XprBinOp< Fcnl_div< typename E::value_type, std::complex< T > >, XprVector< E, Sz >, XprLiteral< std::complex< T > > >, Sz >	tvmet::div (const XprVector< E, Sz > &lhs, const std::complex< T > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz, class T>
XprVector< XprBinOp< Fcnl_div< std::complex< T >, typename E::value_type >, XprLiteral< std::complex< T > >, XprVector< E, Sz > >, Sz >	tvmet::div (const std::complex< T > &lhs, const XprVector< E, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, std::size_t Sz>
NumericTraits< typename E::value_type >::sum_type	tvmet::sum (const XprVector< E, Sz > &v) TVMET_CXX_ALWAYS_INLINE
	Compute the sum of the vector expression.
template<class E, std::size_t Sz>
NumericTraits< typename E::value_type >::sum_type	tvmet::product (const XprVector< E, Sz > &v) TVMET_CXX_ALWAYS_INLINE
	Compute the product of the vector elements.
template<class E1, class E2, std::size_t Sz>
PromoteTraits< typename E1::value_type, typename E2::value_type >::value_type	tvmet::dot (const XprVector< E1, Sz > &lhs, const XprVector< E2, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
	Compute the dot/inner product.
template<class T, class E, std::size_t Sz>
PromoteTraits< T, typename E::value_type >::value_type	tvmet::dot (const Vector< T, Sz > &lhs, const XprVector< E, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
	Compute the dot/inner product.
template<class E, class T, std::size_t Sz>
PromoteTraits< T, typename E::value_type >::value_type	tvmet::dot (const XprVector< E, Sz > &lhs, const Vector< T, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
	Compute the dot/inner product.
template<class E1, class E2>
Vector< typename PromoteTraits< typename E1::value_type, typename E2::value_type >::value_type, 3 >	tvmet::cross (const XprVector< E1, 3 > &lhs, const XprVector< E2, 3 > &rhs) TVMET_CXX_ALWAYS_INLINE
	Compute the cross/outer product.
template<class T, class E>
Vector< typename PromoteTraits< T, typename E::value_type >::value_type, 3 >	tvmet::cross (const Vector< T, 3 > &lhs, const XprVector< E, 3 > &rhs) TVMET_CXX_ALWAYS_INLINE
	Compute the cross/outer product.
template<class E, class T>
Vector< typename PromoteTraits< T, typename E::value_type >::value_type, 3 >	tvmet::cross (const XprVector< E, 3 > &lhs, const Vector< T, 3 > &rhs) TVMET_CXX_ALWAYS_INLINE
	Compute the cross/outer product.
template<class E, std::size_t Sz>
NumericTraits< typename E::value_type >::sum_type	tvmet::norm1 (const XprVector< E, Sz > &v) TVMET_CXX_ALWAYS_INLINE
	The norm of a vector expression.
template<class E, std::size_t Sz>
NumericTraits< typename E::value_type >::sum_type	tvmet::norm2 (const XprVector< E, Sz > &v) TVMET_CXX_ALWAYS_INLINE
	The euklidian norm (or norm) of a vector expression.
template<class E, std::size_t Sz>
XprVector< XprBinOp< Fcnl_div< typename E::value_type, typename E::value_type >, XprVector< E, Sz >, XprLiteral< typename E::value_type > >, Sz >	tvmet::normalize (const XprVector< E, Sz > &v) TVMET_CXX_ALWAYS_INLINE
	Normalize the given vector expression.
template<class T1, class E2>
Vector< typename PromoteTraits< T1, typename E2::value_type >::value_type, 3 >	tvmet::cross (const Vector< T1, 3 > &lhs, const XprVector< E2, 3 > &rhs)

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Define Documentation

#define TVMET_DECLARE_MACRO

(

NAME

)

Value:

template<class E, std::size_t Sz, class T>      \
XprVector<              \
  XprBinOp<             \
    Fcnl_##NAME< typename E::value_type, std::complex<T> >, \
    XprVector<E, Sz>,           \
    XprLiteral< std::complex<T> >       \
  >,                \
  Sz                \
>               \
NAME (const XprVector<E, Sz>& lhs,        \
      const std::complex<T>& rhs) TVMET_CXX_ALWAYS_INLINE;  \
                \
template<class E, std::size_t Sz, class T>      \
XprVector<              \
  XprBinOp<             \
    Fcnl_##NAME< std::complex<T>, typename E::value_type>,  \
    XprLiteral< std::complex<T> >,        \
    XprVector<E, Sz>            \
  >,                \
  Sz                \
>               \
NAME (const std::complex<T>& lhs,         \
      const XprVector<E, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE;

#define TVMET_DECLARE_MACRO	(	NAME,
		POD		)

Value:

template<class E, std::size_t Sz>       \
XprVector<              \
  XprBinOp<             \
    Fcnl_##NAME< typename E::value_type, POD >,     \
    XprVector<E, Sz>,           \
    XprLiteral< POD >           \
  >,                \
  Sz                \
>               \
NAME (const XprVector<E, Sz>& lhs,        \
      POD rhs) TVMET_CXX_ALWAYS_INLINE;       \
                \
template<class E, std::size_t Sz>       \
XprVector<              \
  XprBinOp<             \
    Fcnl_##NAME< POD, typename E::value_type>,      \
    XprLiteral< POD >,            \
    XprVector<E, Sz>            \
  >,                \
  Sz                \
>               \
NAME (POD lhs,              \
      const XprVector<E, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE;

#define TVMET_DECLARE_MACRO

(

NAME

)

Value:

template<class E1, class E2, std::size_t Sz>        \
XprVector<                \
  XprBinOp<               \
    Fcnl_##NAME<typename E1::value_type, typename E2::value_type>,  \
    XprVector<E1, Sz>,              \
    XprVector<E2, Sz>             \
  >,                  \
  Sz                  \
>                 \
NAME (const XprVector<E1, Sz>& lhs,         \
      const XprVector<E2, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE;

#define TVMET_IMPLEMENT_MACRO

(

NAME

)

#define TVMET_IMPLEMENT_MACRO	(	NAME,
		POD		)

#define TVMET_IMPLEMENT_MACRO

(

NAME

)

Value:

template<class E1, class E2, std::size_t Sz>        \
inline                  \
XprVector<                \
  XprBinOp<               \
    Fcnl_##NAME<typename E1::value_type, typename E2::value_type>,  \
    XprVector<E1, Sz>,              \
    XprVector<E2, Sz>             \
  >,                  \
  Sz                  \
>                 \
NAME (const XprVector<E1, Sz>& lhs, const XprVector<E2, Sz>& rhs) { \
  typedef XprBinOp<             \
    Fcnl_##NAME<typename E1::value_type, typename E2::value_type>,  \
    XprVector<E1, Sz>,              \
    XprVector<E2, Sz>             \
  >                expr_type; \
  return XprVector<expr_type, Sz>(expr_type(lhs, rhs));     \
}

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Author: