// Example of an overloaded function...
// In this example, the norm() function is overloaded so that it has 
// both a float type and a double type.

#include <iostream>
#include <cmath>
#include <cstdlib>
using namespace std;

double norm( double x, double y = 0.0, double z = 0.0 );
float norm( float x, float y = 0.0F, float z = 0.0F );

int main()
{
    cout << "norm(3.0,-4.0) = " << norm( 3.0, -4.0 ) << "\n";
    cout << "sizeof( norm(3.0,-4.0) ) = " << sizeof( norm( 3.0, -4.0 ) ) << "\n\n";
    cout << "norm(3.0F,-4.0F) = " << norm( 3.0F, -4.0F ) << "\n";
    cout << "sizeof( norm(3.0F,-4.0F) ) = " << sizeof( norm( 3.0F, -4.0F ) ) << "\n";
    
    cout << "\n\n"; system( "PAUSE" );
    return( EXIT_SUCCESS );
}
   
double norm( double x, double y, double z )
{
    double temp, result, max = abs( x );
    if ( max < abs( y ) ) max = abs( y );
    if ( max < abs( z ) ) max = abs( z );
    
    if ( max == 0.0 )
        result = 0.0;
    else {
        temp = pow( x / max, 2 ) + pow( y / max, 2 ) + pow( z / max, 2 );
        result = max * sqrt( temp );
    }
    return( result );
}
float norm( float x, float y, float z )
{
    float temp, result, max = abs( x );
    if ( max < abs( y ) ) max = abs( y );
    if ( max < abs( z ) ) max = abs( z );
    
    if ( max == 0.0 )
        result = 0.0F;
    else {
        temp = pow( x / max, 2 ) + pow( y / max, 2 ) + pow( z / max, 2 );
        result = max * sqrt( temp );
    }
    return( result );
}