?? sqrtest1.cpp
字號:
#include <iostream>
#include <cmath>
using namespace std;
/**
Tests whether two floating-point numbers are
approximately equal.
@param x a floating-point number
@param y another floating-point number
@return true if x and y are approximately equal
*/
bool approx_equal(double x, double y)
{
const double EPSILON = 1E-14;
if (x == 0) return fabs(y) <= EPSILON;
if (y == 0) return fabs(x) <= EPSILON;
return fabs(x - y) / max(fabs(x), fabs(y)) <= EPSILON;
}
/* Function to be tested */
/**
Computes the square root using Heron's formula
@param a an integer >= 0
@return the square root of a
*/
double squareroot(double a)
{
if (a == 0) return 0;
double xnew = a;
double xold;
do
{
xold = xnew;
xnew = (xold + a / xold) / 2;
}
while (!approx_equal(xnew, xold));
return xnew;
}
/* Test harness */
int main()
{
double x;
while (cin >> x)
{
double y = squareroot(x);
cout << "squareroot of " << x << " = " << y << "\n";
}
return 0;
}
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