Stroustrup PPP Ch 4 drill

[kudokupo]

I can't figure out what's going wrong, the if statement seems to work randomly.
The first part of drill is a while loop that reads two numbers, prints out which is smaller and larger, and if equal says they're equal. And now I have to make it write out "the numbers are almost equal" if the two numbers differ by less than 1.0/100. When I try 1 and 1.01, it correctly doesn't output "the numbers are almost equal", but when I try 2 and 2.01, it does. Those should have the same difference...so I don't know what's going on.

double num1;
double num2;
while (cin >> num1 >> num2) {
	if (num1 < num2) {
		cout << "the smaller value is: " << num1 << endl;
		cout << "the larger value is: " << num2 << endl;
		if (num2 - num1 < (1.0/100)) {
			cout << "the numbers are almost equal" << endl;
		}
	}
	else if (num2 < num1) {
		cout << "the smaller value is: " << num2 << endl;
		cout << "the larger value is: " << num1 << endl;
		if (num1 - num2 < (1.0/100)) {
			cout << "the numbers are almost equal" << endl;
		}
	}
	else if (num1 == num2) {
		cout << "the numbers are equal" << endl;
	}
}

[MiiNiPaa]

1.01 and 2.01 cannot be exactly represented in binary, so they will be rounded. One of them rounds slightly up, second down.
I had used following to look into it:

1 2 3 4 5 6 7 8 9 10

#include <iomanip> //... if (num1 < num2) { std::cout << std::setprecision(20); std::cout << "the smaller value is: " << num1 << std::endl; std::cout << "the larger value is: " << num2 << std::endl; std::cout << num2 - num1 << std::endl; if (num2 - num1 < (1.0/100)) std::cout << "the numbers are almost equal" << std::endl; }

1 1.01 the smaller value is: 1 the larger value is: 1.0100000000000000089 0.010000000000000008882 2 2.01 the smaller value is: 2 the larger value is: 2.0099999999999997868 0.0099999999999997868372 the numbers are almost equal

https://en.wikipedia.org/wiki/Floating_point#Accuracy_problems