Vector.cpp File Reference

Creates vector structure. More...

#include <math.h>
#include <iostream>
#include "PreProcessor.h"
#include "Vector.h"

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Functions
Vector	operator* (const real a, const Vector &V)
	Returns the product of the current vector and a real a. More...
int	dim (const Vector &V)
	Returns the dimension of the vector. Similar to int Vector::dimension(). More...
Vector	abs (const Vector &V)
	Returns the absolute value term by term of the vector. More...
real	N1 (const Vector &V)
	Returns the L1-norm of the vector. More...
real	N2 (const Vector &V)
	Returns the L2-norm of the vector. More...
real	NMax (const Vector &V)
	Returns the Max-norm of the vector. More...
ostream &	operator<< (ostream &out, const Vector &V)
	Writes the components of the vector V on screen. More...

Detailed Description

Creates vector structure.

Function Documentation

Vector abs

(

const Vector &

V

)

Returns the absolute value term by term of the vector.

Parameters

V

Vector

Returns

Vector

{
    int n;
    real a;
    Vector result( dim(V) );

    for (n = 1; n <= dim(V); n++)
    {
        a = V.value(n);
        if (a < 0.)
            result.setValue(n, -a);
        else
            result.setValue(n, a);
    }
    return result;
}

int dim

(

const Vector &

V

)

Returns the dimension of the vector. Similar to int Vector::dimension().

Parameters

V

Vector

Returns

int

{
    return V.dimension();
}

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real N1

(

const Vector &

V

)

Returns the L1-norm of the vector.

Parameters

V

Vector

Returns

real

{
    int n;
    real result;

    result = 0.;
    for (n = 1; n <= dim(V); n++)
        result += fabs(V.value(n));

    return result;
}

real N2

(

const Vector &

V

)

Returns the L2-norm of the vector.

Parameters

V

Vector

Returns

real

{
    int n;
    real result;

    result = 0.;
    for (n = 1; n <= dim(V); n++)
        result += V.value(n)*V.value(n);

    return sqrt(result);
}

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real NMax

(

const Vector &

V

)

Returns the Max-norm of the vector.

Parameters

V

Vector

Returns

real

{
    int n;
    real result;

    result = 0.;
    for (n = 1; n <= dim(V); n++)
        if (result < fabs(V.value(n))) result = fabs(V.value(n));

    return result;
}

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Vector operator*	(	const real	a,
		const Vector &	V
	)

Returns the product of the current vector and a real a.

Example :

#include "Vector.h"

Vector V(1.,0.,0.);
Vector W;
real x = 2.;
...
W = x*V;


The operation W = V*x can also be done. See Vector Vector::operator*(const real a) const.

Parameters

a	Real value
V	Vector

Returns

Vector

{
    return V*a;
}

ostream& operator<<	(	ostream &	out,
		const Vector &	V
	)

Writes the components of the vector V on screen.

Parameters

out
V	Vector

Returns

ostream&

{
    int n;

    for (n = 1; n <= dim(V); n++)
    {
        out<<n<<": "<<V.value(n)<<endl;
   }
    return out;
}