vector.cpp File Reference

#include "../include/header/vector.h"

Include dependency graph for vector.cpp:

Functions
bool	operator== (const Vector &lhs, const Vector &rhs)
	Overload of the equality operator for Vector objects. Two vectors are said to be equal if and only if they have the same dimension and they have exactly the same values. More...
double	operator* (const Vector &lhs, const Vector &rhs)
	Dot product between vectors. More...
Vector	operator* (const double d, const Vector &v)
	Operator of multiplication of a Vector object by a scalar. More...
Vector	operator* (const Vector &v, const double d)
	Operator of multiplication of a Vector object by a scalar. More...
Vector	operator+ (const Vector &lhs, const Vector &rhs)
	Addition of two vector objects. More...
Vector	operator+ (const double d, const Vector &v)
	Operator of addition of a Vector object with a scalar. More...
Vector	operator+ (const Vector &v, const double d)
	Operator of addition of a Vector object with a scalar. More...
Vector	operator- (const Vector &lhs, const Vector &rhs)
	Substract two vector objects. More...
Vector	operator- (const double d, const Vector &v)
	Operator of remove a scalar to a Vector. More...
Vector	operator- (const Vector &v, const double d)
	Operator of remove a scalar to a Vector. More...
Vector	operator/ (const Vector &v, const double d)
	Operator to divide a Vector by a scalar. More...
std::ostream &	operator<< (std::ostream &os, const Vector &v)
	Overload output stream operator for Vector object. More...
Vector	abs (const Vector &v)
	Elementwise absolute value of a vector. More...
Vector	pow2 (const Vector &v)
	Elementwise square of a vector. More...
double	prod (const Vector &v)
	Compute the product of the element of a vector. More...
Vector	prod (const Vector &v1, const Vector &v2)
	Compute the elementwise product of two vectors. More...
Vector	sqrt (const Vector &v)
	Elementwise square root of a vector. More...
double	sum (const Vector &v)
	Compute the sum of the element of a vector. More...

Function Documentation

abs()

Vector abs

(

const Vector &

v

)

Elementwise absolute value of a vector.

Parameters

v

a vector

Returns

Vector a vector whose components are the absolute value of the components of v

operator*() [1/3]

Vector operator*	(	const double	d,
		const Vector &	v
	)

Operator of multiplication of a Vector object by a scalar.

Parameters

d	Double value to multiply v with
v	Vector to be multiplied

Returns

Vector whose components are v[i]*d

operator*() [2/3]

double operator*	(	const Vector &	lhs,
		const Vector &	rhs
	)

Dot product between vectors.

Parameters

lhs	Left Hand Side
rhs	Right Hand Side

Returns

double Dot product between vetcor object and v

Warning

Both vectors must be of the same dimension.

operator*() [3/3]

Vector operator*	(	const Vector &	v,
		const double	d
	)

Operator of multiplication of a Vector object by a scalar.

Parameters

v	Vector to be multiplied
d	Double value to multiply v with

Returns

Vector whose components are v[i]*d

operator+() [1/3]

Vector operator+	(	const double	d,
		const Vector &	v
	)

Operator of addition of a Vector object with a scalar.

Parameters

d	Double value added to v
v	Vector to be additioned

Returns

Vector whose components are v[i] + d

operator+() [2/3]

Vector operator+	(	const Vector &	lhs,
		const Vector &	rhs
	)

Addition of two vector objects.

Parameters

lhs	A vector of dimension \(n\),
rhs	A vector of dimension \(n\)

Warning

lhs and rhs must be of the same dimension.

Returns

Vector Sum of lhs and rhs.

operator+() [3/3]

Vector operator+	(	const Vector &	v,
		const double	d
	)

Operator of addition of a Vector object with a scalar.

Parameters

v	Vector to be additioned
d	Double value added to v

Returns

Vector whose components are v[i] + d

operator-() [1/3]

Vector operator-	(	const double	d,
		const Vector &	v
	)

Operator of remove a scalar to a Vector.

Parameters

d	Double value to remove fro v
v	Right Hand Side

Returns

Vector whose components are d - v[i]

operator-() [2/3]

Vector operator-	(	const Vector &	lhs,
		const Vector &	rhs
	)

Substract two vector objects.

Parameters

lhs	A vector of dimension \(n\),
rhs	A vector of dimension \(n\)

Warning

lhs and rhs must be of the same dimension.

Returns

Vector Difference of lhs and rhs.

operator-() [3/3]

Vector operator-	(	const Vector &	v,
		const double	d
	)

Operator of remove a scalar to a Vector.

Parameters

v	Left Hand Side
d	Double value to remove from v

Returns

Vector whose components are v[i] - d

operator/()

Vector operator/	(	const Vector &	v,
		const double	d
	)

Operator to divide a Vector by a scalar.

Parameters

v	Vector v
d	Double value to divide v (must be non-zero)

Returns

Vector whose components are v[i] / d

Warning

d must me non-zero

operator<<()

std::ostream& operator<<	(	std::ostream &	os,
		const Vector &	v
	)

Overload output stream operator for Vector object.

Parameters

os	Output stream.
v	Vector object.

Returns

std::ostream & updated output stream

operator==()

bool operator==	(	const Vector &	lhs,
		const Vector &	rhs
	)

Overload of the equality operator for Vector objects. Two vectors are said to be equal if and only if they have the same dimension and they have exactly the same values.

Parameters

lhs	Left hand side
rhs	Right hand side

Returns

true If all values of both vectors coincide.

false If at least of the value of the two vectors differ.

pow2()

Vector pow2

(

const Vector &

v

)

Elementwise square of a vector.

Parameters

v

a vector

Returns

Vector a vector whose components are the square of the components of v

prod() [1/2]

double prod

(

const Vector &

v

)

Compute the product of the element of a vector.

Parameters

v	a vector object

Returns

double product of the components of \(v\)

Warning

If v has zero length then we return 1

prod() [2/2]

Vector prod	(	const Vector &	v1,
		const Vector &	v2
	)

Compute the elementwise product of two vectors.

Parameters

v1	a vector
v2	a vector

Returns

Vector a vector whose elements are the product of the corresponding elements of v1 and v2

Warning

v1 and v2 must have the same dimension

sqrt()

Vector sqrt

(

const Vector &

v

)

Elementwise square root of a vector.

Parameters

v

a vector

Returns

Vector a vector whose components are the square root of the components of v

Warning

the components must be non negative

sum()

double sum

(

const Vector &

v

)

Compute the sum of the element of a vector.

Parameters

v	a vector object

Returns

double sum of the components of \(v\)

Warning

If v has zero length then we return 0