OPAL (Object Oriented Parallel Accelerator Library)  2021.1.99
OPAL
Classes | Functions
Vector.h File Reference
#include "Algebra/Array1D.h"
#include "Utilities/SizeError.h"
#include <algorithm>
#include <numeric>
#include <cmath>
#include <functional>
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Classes

class  Vector< T >
 Vector. More...
 

Functions

template<class T >
Vector< T > operator+ (const Vector< T > &, const Vector< T > &)
 Vector addition. More...
 
template<class T >
Vector< T > operator- (const Vector< T > &, const Vector< T > &)
 Vector subtraction. More...
 
template<class T >
operator* (const Vector< T > &, const Vector< T > &)
 Vector dot product. More...
 
template<class T >
Vector< T > operator* (const Vector< T > &, const T &)
 Vector multiplied by scalar. More...
 
template<class T >
Vector< T > operator/ (const Vector< T > &, const T &)
 Vector divided by scalar. More...
 
template<class T >
Vector< T > operator* (const T &, const Vector< T > &)
 Scalar multiplied by vector. More...
 
template<class T >
euclidean_norm (const Vector< T > &)
 Euclidean norm. More...
 
template<class T >
scaled_norm (const Array1D< T > D, const Vector< T > &V)
 Euclidean norm of diagonal matrix D times vector V. More...
 

Function Documentation

◆ euclidean_norm()

template<class T >
T euclidean_norm ( const Vector< T > &  V)

◆ operator*() [1/3]

template<class T >
Vector< T > operator* ( const T &  x,
const Vector< T > &  V1 
)

Scalar multiplied by vector.

Definition at line 235 of file Vector.h.

References Array1D< T >::begin(), and Array1D< T >::end().

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◆ operator*() [2/3]

template<class T >
Vector< T > operator* ( const Vector< T > &  V1,
const T &  x 
)

Vector multiplied by scalar.

Definition at line 220 of file Vector.h.

◆ operator*() [3/3]

template<class T >
T operator* ( const Vector< T > &  V1,
const Vector< T > &  V2 
)

Vector dot product.

Definition at line 214 of file Vector.h.

References Array1D< T >::begin(), Array1D< T >::end(), and Attrib::Legacy::Distribution::T.

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◆ operator+()

template<class T >
Vector< T > operator+ ( const Vector< T > &  V1,
const Vector< T > &  V2 
)

Vector addition.

Definition at line 194 of file Vector.h.

References Array1D< T >::begin(), Array1D< T >::end(), and Array1D< T >::size().

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◆ operator-()

template<class T >
Vector< T > operator- ( const Vector< T > &  V1,
const Vector< T > &  V2 
)

Vector subtraction.

Definition at line 203 of file Vector.h.

References Array1D< T >::begin(), Array1D< T >::end(), and Array1D< T >::size().

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◆ operator/()

template<class T >
Vector< T > operator/ ( const Vector< T > &  V1,
const T &  x 
)

Vector divided by scalar.

Definition at line 227 of file Vector.h.

◆ scaled_norm()

template<class T >
T scaled_norm ( const Array1D< T >  D,
const Vector< T > &  V 
)

Euclidean norm of diagonal matrix D times vector V.

Definition at line 248 of file Vector.h.

References Array1D< T >::size(), sqrt(), sum(), and Attrib::Legacy::Distribution::T.

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