VectorOperations.h File Reference

#include <cmath>
#include <sstream>
#include <vector>
#include "tarch/la/ScalarOperations.h"
#include "VectorOperations.cpph"

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Namespaces
namespace	tarch
	Have to include this header, as I need access to the SYCL_EXTERNAL keyword.
namespace	tarch::la
	My collection of tiny vector operations.

Functions
template<int Size, typename Scalar >
std::string	toString (const tarch::la::Vector< Size, Scalar > &vector)
	Forward declaration.
template<int Size, typename Scalar >
Scalar	tarch::la::norm1 (const Vector< Size, Scalar > &vector)
	Computes the 1-norm of the vector, i.e.
template<int Size>
double	tarch::la::norm1 (const Vector< Size, std::complex< double > > &vector)
	Specialisation that is different to standard definition.
template<int Size, typename Scalar >
Scalar	tarch::la::norm2 (const Vector< Size, Scalar > &vector)
	Computes the 2-norm of the vector, i.e.
template<int Size, typename Scalar >
Scalar	tarch::la::norm2Squared (const Vector< Size, Scalar > &vector)
template<int Size>
double	tarch::la::norm2 (const Vector< Size, std::complex< double > > &vector)
	Specialisation that is different to standard definition.
template<int Size>
double	tarch::la::norm2Squared (const Vector< Size, std::complex< double > > &vector)
template<int Size, typename Scalar >
Scalar	tarch::la::normMax (const Vector< Size, Scalar > &vector)
	Computes the max-norm of the vector.
template<int Size>
double	tarch::la::normMax (const Vector< Size, std::complex< double > > &vector)
	Specialisation that is different to standard definition.
template<int Size, typename Scalar >
Vector< Size, Scalar >	tarch::la::abs (const Vector< Size, Scalar > &vector)
	Computes the absolute component values of the vector, creating a temporary vector to hold the result.
template<int Size>
Vector< Size, double >	tarch::la::abs (const Vector< Size, std::complex< double > > &vector)
	Specialisation that is different to standard definition.
template<int Size, typename Scalar >
Scalar	tarch::la::sum (const Vector< Size, Scalar > &vector)
	Sums up the component values of the vector.
template<int Size, typename Scalar >
Scalar	tarch::la::volume (const Vector< Size, Scalar > &vector)
	Computes the volume of the tetrahedron spanned by the Cartesian unit vectors scaled by the corresponding components of the given vector.
template<int Size, typename Scalar >
bool	tarch::la::allEntriesAreTheSame (const Vector< Size, Scalar > &vector)
template<int Size, typename Scalar >
Scalar	tarch::la::average (const Vector< Size, Scalar > &vector)
	Computes the volume of the tetrahedron spanned by the Cartesian unit vectors scaled by the corresponding components of the given vector.
template<int Size, typename Scalar >
int	tarch::la::indexMax (const Vector< Size, Scalar > &vector)
	Returns the index of the element with maximal value (NOT absolute value).
template<int Size, typename Scalar >
int	tarch::la::indexMin (const Vector< Size, Scalar > &vector)
	Returns the index of the element with minimal value (NOT absolute value).
template<int Size, typename Scalar >
Scalar	tarch::la::max (const Vector< Size, Scalar > &vector)
	Returns the element with maximal value (NOT absolute value).
template<int Size, typename Scalar >
Scalar	tarch::la::maxAbs (const Vector< Size, Scalar > &vector)
	Returns the element with maximal absolute value.
template<int Size, typename Scalar >
Scalar	tarch::la::min (const Vector< Size, Scalar > &vector)
	Returns the element with minimal value (NOT absolute value).
template<int Size, typename Scalar >
Vector< Size, Scalar >	tarch::la::invertEntries (const Vector< Size, Scalar > &vector)
template<int Size>
Vector< Size, double >	tarch::la::real (const Vector< Size, std::complex< double > > &vector)
template<int Size>
Vector< Size, double >	tarch::la::imag (const Vector< Size, std::complex< double > > &vector)
template<int Size>
double	tarch::la::maxReal (const Vector< Size, std::complex< double > > &vector)
template<int Size>
double	tarch::la::maxImag (const Vector< Size, std::complex< double > > &vector)
template<int Size, typename Scalar >
bool	tarch::la::contains (const Vector< Size, Scalar > &vector, const Scalar &value)
template<int Size, typename Scalar >
int	tarch::la::count (const Vector< Size, Scalar > &vector, const Scalar &value)
template<int Size, typename Scalar >
int	tarch::la::isEntryNan (const Vector< Size, Scalar > &vector)
template<int Size, typename Scalar >
int	tarch::la::isEntryFinite (const Vector< Size, Scalar > &vector)
template<int Size, typename Scalar >
std::vector< Scalar >	tarch::la::toSTLVector (const Vector< Size, Scalar > &vector)
template<int Size, typename Scalar >
std::ostream &	operator<< (std::ostream &os, const tarch::la::Vector< Size, Scalar > &vector)
	Streams the component values into a comma separated representation.

Function Documentation

operator<<()

template<int Size, typename Scalar >

std::ostream & operator<<	(	std::ostream &	os,
		const tarch::la::Vector< Size, Scalar > &	vector )

Streams the component values into a comma separated representation.

Definition at line 274 of file VectorOperations.cpph.

References toString().

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toString()

template<int Size, typename Scalar >

std::string toString

(

const tarch::la::Vector< Size, Scalar > &

vector

)

Forward declaration.

Forward declaration.

Not a member of the class as I otherwise can't translate it for GPUs.

Definition at line 80 of file Vector.cpph.