Tiny Vector Matrix library using Expression Templates

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include/tvmet/VectorFunctions.h File Reference

#include <tvmet/Extremum.h>

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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 T1, class T2, std::size_t Sz>
XprVector< XprBinOp< Fcnl_add< T1, T2 >, VectorConstReference< T1, Sz >, VectorConstReference< T2, Sz > >, Sz >	tvmet::add (const Vector< T1, Sz > &lhs, const Vector< T2, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_add< typename E::value_type, T >, XprVector< E, Sz >, VectorConstReference< T, Sz > >, Sz >	tvmet::add (const XprVector< E, Sz > &lhs, const Vector< T, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_add< T, typename E::value_type >, VectorConstReference< T, Sz >, XprVector< E, Sz > >, Sz >	tvmet::add (const Vector< T, Sz > &lhs, const XprVector< E, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class T1, class T2, std::size_t Sz>
XprVector< XprBinOp< Fcnl_sub< T1, T2 >, VectorConstReference< T1, Sz >, VectorConstReference< T2, Sz > >, Sz >	tvmet::sub (const Vector< T1, Sz > &lhs, const Vector< T2, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_sub< typename E::value_type, T >, XprVector< E, Sz >, VectorConstReference< T, Sz > >, Sz >	tvmet::sub (const XprVector< E, Sz > &lhs, const Vector< T, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_sub< T, typename E::value_type >, VectorConstReference< T, Sz >, XprVector< E, Sz > >, Sz >	tvmet::sub (const Vector< T, Sz > &lhs, const XprVector< E, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class T1, class T2, std::size_t Sz>
XprVector< XprBinOp< Fcnl_mul< T1, T2 >, VectorConstReference< T1, Sz >, VectorConstReference< T2, Sz > >, Sz >	tvmet::mul (const Vector< T1, Sz > &lhs, const Vector< T2, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_mul< typename E::value_type, T >, XprVector< E, Sz >, VectorConstReference< T, Sz > >, Sz >	tvmet::mul (const XprVector< E, Sz > &lhs, const Vector< T, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_mul< T, typename E::value_type >, VectorConstReference< T, Sz >, XprVector< E, Sz > >, Sz >	tvmet::mul (const Vector< T, Sz > &lhs, const XprVector< E, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class T1, class T2, std::size_t Sz>
XprVector< XprBinOp< Fcnl_div< T1, T2 >, VectorConstReference< T1, Sz >, VectorConstReference< T2, Sz > >, Sz >	tvmet::element_wise::div (const Vector< T1, Sz > &lhs, const Vector< T2, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_div< typename E::value_type, T >, XprVector< E, Sz >, VectorConstReference< T, Sz > >, Sz >	tvmet::element_wise::div (const XprVector< E, Sz > &lhs, const Vector< T, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class E, class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_div< T, typename E::value_type >, VectorConstReference< T, Sz >, XprVector< E, Sz > >, Sz >	tvmet::element_wise::div (const Vector< T, Sz > &lhs, const XprVector< E, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_add< T, int >, VectorConstReference< T, Sz >, XprLiteral< int > >, Sz >	tvmet::add (const Vector< T, Sz > &lhs, int rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_add< int, T >, XprLiteral< int >, VectorConstReference< T, Sz > >, Sz >	tvmet::add (int lhs, const Vector< T, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_sub< T, int >, VectorConstReference< T, Sz >, XprLiteral< int > >, Sz >	tvmet::sub (const Vector< T, Sz > &lhs, int rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_sub< int, T >, XprLiteral< int >, VectorConstReference< T, Sz > >, Sz >	tvmet::sub (int lhs, const Vector< T, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_mul< T, int >, VectorConstReference< T, Sz >, XprLiteral< int > >, Sz >	tvmet::mul (const Vector< T, Sz > &lhs, int rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_mul< int, T >, XprLiteral< int >, VectorConstReference< T, Sz > >, Sz >	tvmet::mul (int lhs, const Vector< T, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_div< T, int >, VectorConstReference< T, Sz >, XprLiteral< int > >, Sz >	tvmet::div (const Vector< T, Sz > &lhs, int rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_div< int, T >, XprLiteral< int >, VectorConstReference< T, Sz > >, Sz >	tvmet::div (int lhs, const Vector< T, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_add< T, float >, VectorConstReference< T, Sz >, XprLiteral< float > >, Sz >	tvmet::add (const Vector< T, Sz > &lhs, float rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_add< float, T >, XprLiteral< float >, VectorConstReference< T, Sz > >, Sz >	tvmet::add (float lhs, const Vector< T, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_sub< T, float >, VectorConstReference< T, Sz >, XprLiteral< float > >, Sz >	tvmet::sub (const Vector< T, Sz > &lhs, float rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_sub< float, T >, XprLiteral< float >, VectorConstReference< T, Sz > >, Sz >	tvmet::sub (float lhs, const Vector< T, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_mul< T, float >, VectorConstReference< T, Sz >, XprLiteral< float > >, Sz >	tvmet::mul (const Vector< T, Sz > &lhs, float rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_mul< float, T >, XprLiteral< float >, VectorConstReference< T, Sz > >, Sz >	tvmet::mul (float lhs, const Vector< T, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_div< T, float >, VectorConstReference< T, Sz >, XprLiteral< float > >, Sz >	tvmet::div (const Vector< T, Sz > &lhs, float rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_div< float, T >, XprLiteral< float >, VectorConstReference< T, Sz > >, Sz >	tvmet::div (float lhs, const Vector< T, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_add< T, double >, VectorConstReference< T, Sz >, XprLiteral< double > >, Sz >	tvmet::add (const Vector< T, Sz > &lhs, double rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_add< double, T >, XprLiteral< double >, VectorConstReference< T, Sz > >, Sz >	tvmet::add (double lhs, const Vector< T, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_sub< T, double >, VectorConstReference< T, Sz >, XprLiteral< double > >, Sz >	tvmet::sub (const Vector< T, Sz > &lhs, double rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_sub< double, T >, XprLiteral< double >, VectorConstReference< T, Sz > >, Sz >	tvmet::sub (double lhs, const Vector< T, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_mul< T, double >, VectorConstReference< T, Sz >, XprLiteral< double > >, Sz >	tvmet::mul (const Vector< T, Sz > &lhs, double rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_mul< double, T >, XprLiteral< double >, VectorConstReference< T, Sz > >, Sz >	tvmet::mul (double lhs, const Vector< T, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_div< T, double >, VectorConstReference< T, Sz >, XprLiteral< double > >, Sz >	tvmet::div (const Vector< T, Sz > &lhs, double rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_div< double, T >, XprLiteral< double >, VectorConstReference< T, Sz > >, Sz >	tvmet::div (double lhs, const Vector< T, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_add< T, long double >, VectorConstReference< T, Sz >, XprLiteral< long double > >, Sz >	tvmet::add (const Vector< T, Sz > &lhs, long double rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_add< long double, T >, XprLiteral< long double >, VectorConstReference< T, Sz > >, Sz >	tvmet::add (long double lhs, const Vector< T, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_sub< T, long double >, VectorConstReference< T, Sz >, XprLiteral< long double > >, Sz >	tvmet::sub (const Vector< T, Sz > &lhs, long double rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_sub< long double, T >, XprLiteral< long double >, VectorConstReference< T, Sz > >, Sz >	tvmet::sub (long double lhs, const Vector< T, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_mul< T, long double >, VectorConstReference< T, Sz >, XprLiteral< long double > >, Sz >	tvmet::mul (const Vector< T, Sz > &lhs, long double rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_mul< long double, T >, XprLiteral< long double >, VectorConstReference< T, Sz > >, Sz >	tvmet::mul (long double lhs, const Vector< T, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_div< T, long double >, VectorConstReference< T, Sz >, XprLiteral< long double > >, Sz >	tvmet::div (const Vector< T, Sz > &lhs, long double rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_div< long double, T >, XprLiteral< long double >, VectorConstReference< T, Sz > >, Sz >	tvmet::div (long double lhs, const Vector< T, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_add< std::complex< T >, std::complex< T > >, VectorConstReference< std::complex< T >, Sz >, XprLiteral< std::complex< T > > >, Sz >	tvmet::add (const Vector< std::complex< T >, Sz > &lhs, const std::complex< T > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_add< std::complex< T >, std::complex< T > >, XprLiteral< std::complex< T > >, VectorConstReference< std::complex< T >, Sz > >, Sz >	tvmet::add (const std::complex< T > &lhs, const Vector< std::complex< T >, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_sub< std::complex< T >, std::complex< T > >, VectorConstReference< std::complex< T >, Sz >, XprLiteral< std::complex< T > > >, Sz >	tvmet::sub (const Vector< std::complex< T >, Sz > &lhs, const std::complex< T > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_sub< std::complex< T >, std::complex< T > >, XprLiteral< std::complex< T > >, VectorConstReference< std::complex< T >, Sz > >, Sz >	tvmet::sub (const std::complex< T > &lhs, const Vector< std::complex< T >, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_mul< std::complex< T >, std::complex< T > >, VectorConstReference< std::complex< T >, Sz >, XprLiteral< std::complex< T > > >, Sz >	tvmet::mul (const Vector< std::complex< T >, Sz > &lhs, const std::complex< T > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_mul< std::complex< T >, std::complex< T > >, XprLiteral< std::complex< T > >, VectorConstReference< std::complex< T >, Sz > >, Sz >	tvmet::mul (const std::complex< T > &lhs, const Vector< std::complex< T >, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_div< std::complex< T >, std::complex< T > >, VectorConstReference< std::complex< T >, Sz >, XprLiteral< std::complex< T > > >, Sz >	tvmet::div (const Vector< std::complex< T >, Sz > &lhs, const std::complex< T > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_div< std::complex< T >, std::complex< T > >, XprLiteral< std::complex< T > >, VectorConstReference< std::complex< T >, Sz > >, Sz >	tvmet::div (const std::complex< T > &lhs, const Vector< std::complex< T >, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
template<class T, std::size_t Sz>
NumericTraits< T >::sum_type	tvmet::sum (const Vector< T, Sz > &v) TVMET_CXX_ALWAYS_INLINE
	Compute the sum of the vector.
template<class T, std::size_t Sz>
NumericTraits< T >::sum_type	tvmet::product (const Vector< T, Sz > &v) TVMET_CXX_ALWAYS_INLINE
	Compute the product of the vector elements.
template<class T1, class T2, std::size_t Sz>
PromoteTraits< T1, T2 >::value_type	tvmet::dot (const Vector< T1, Sz > &lhs, const Vector< T2, Sz > &rhs) TVMET_CXX_ALWAYS_INLINE
	Compute the dot/inner product.
template<class T1, class T2>
Vector< typename PromoteTraits< T1, T2 >::value_type, 3 >	tvmet::cross (const Vector< T1, 3 > &lhs, const Vector< T2, 3 > &rhs) TVMET_CXX_ALWAYS_INLINE
	Compute the cross/outer product.
template<class T, std::size_t Sz>
NumericTraits< T >::sum_type	tvmet::norm1 (const Vector< T, Sz > &v) TVMET_CXX_ALWAYS_INLINE
	The norm of a vector v.
template<class T, std::size_t Sz>
NumericTraits< T >::sum_type	tvmet::norm2 (const Vector< T, Sz > &v) TVMET_CXX_ALWAYS_INLINE
	The euklidian norm (or norm) of a vector v.
template<class T, std::size_t Sz>
XprVector< XprBinOp< Fcnl_div< T, T >, VectorConstReference< T, Sz >, XprLiteral< T > >, Sz >	tvmet::normalize (const Vector< T, Sz > &v) TVMET_CXX_ALWAYS_INLINE
	Normalize the given vector.
template<class E, std::size_t Sz>
Extremum< typename E::value_type, std::size_t, vector_tag >	tvmet::maximum (const XprVector< E, Sz > &e)
	Find the maximum of a vector expression.
template<class T, std::size_t Sz>
Extremum< T, std::size_t, vector_tag >	tvmet::maximum (const Vector< T, Sz > &v) TVMET_CXX_ALWAYS_INLINE
	Find the maximum of a vector.
template<class E, std::size_t Sz>
Extremum< typename E::value_type, std::size_t, vector_tag >	tvmet::minimum (const XprVector< E, Sz > &e)
	Find the minimum of a vector expression.
template<class T, std::size_t Sz>
Extremum< T, std::size_t, vector_tag >	tvmet::minimum (const Vector< T, Sz > &v) TVMET_CXX_ALWAYS_INLINE
	Find the minimum of a vector.
template<class E, std::size_t Sz>
E::value_type	tvmet::max (const XprVector< E, Sz > &e)
	Find the maximum of a vector expression.
template<class T, std::size_t Sz>
T	tvmet::max (const Vector< T, Sz > &v) TVMET_CXX_ALWAYS_INLINE
	Find the maximum of a vector.
template<class E, std::size_t Sz>
E::value_type	tvmet::min (const XprVector< E, Sz > &e)
	Find the minimum of a vector expression.
template<class T, std::size_t Sz>
T	tvmet::min (const Vector< T, Sz > &v) TVMET_CXX_ALWAYS_INLINE
	Find the minimum of a vector.
template<class T, std::size_t Sz>
XprVector< VectorConstReference< T, Sz >, Sz >	tvmet::cvector_ref (const T *mem) TVMET_CXX_ALWAYS_INLINE
	Creates an expression wrapper for a C like vector arrays.

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Define Documentation

#define TVMET_DECLARE_MACRO

(

NAME

)

Value:

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

#define TVMET_DECLARE_MACRO	(	NAME,
		POD		)

Value:

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

#define TVMET_DECLARE_MACRO

(

NAME

)

#define TVMET_IMPLEMENT_MACRO

(

NAME

)

#define TVMET_IMPLEMENT_MACRO	(	NAME,
		POD		)

#define TVMET_IMPLEMENT_MACRO

(

NAME

)

---

Author: