When Math.signum(x) == 0.
All other attempts to check whether float x == 0 may fail.
But Math.signum() is so basic, it should never fail.
Answer from JonAar Livernois on Stack OverflowWhen Math.signum(x) == 0.
All other attempts to check whether float x == 0 may fail.
But Math.signum() is so basic, it should never fail.
A simple method can be written to find this value.
public class FloatEqualsZero {
public static void main(String [] args) {
float x = 1;
while(x != 0 && -x != 0) {
x *= 0.1;
System.out.println(x);
}
}
}
This outputs the following:
0.1
0.01
9.999999E-4
9.999999E-5
9.999999E-6
9.999999E-7
...
1.0E-37
1.0E-38
1.0E-39
1.0E-40
1.0E-41
1.0E-42
1.0E-43
9.8E-45
1.4E-45
0.0
This (and similar tests) show that (x == 0) really only is true when x is 0.0f or -0.0f
Because Java uses the IEEE Standard for Floating-Point Arithmetic (IEEE 754) which defines -0.0 and when it should be used.
The smallest number representable has no 1 bit in the subnormal significand and is called the positive or negative zero as determined by the sign. It actually represents a rounding to zero of numbers in the range between zero and the smallest representable non-zero number of the same sign, which is why it has a sign, and why its reciprocal +Inf or -Inf also has a sign.
You can get around your specific problem by adding 0.0
e.g.
Double.toString(value + 0.0);
See: Java Floating-Point Number Intricacies
Operations Involving Negative Zero
...
(-0.0) + 0.0 -> 0.0
-
"-0.0" is produced when a floating-point operation results in a negative floating-point number so close to 0 that it cannot be represented normally.
how come a primitive float value can be -0.0?
floating point numbers are stored in memory using the IEEE 754 standard meaning that there could be rounding errors. You could never be able to store a floating point number of infinite precision with finite resources.
You should never test if a floating point number == to some other, i.e. never write code like this:
if (a == b)
where a and b are floats. Due to rounding errors those two numbers might be stored as different values in memory.
You should define a precision you want to work with:
private final static double EPSILON = 0.00001;
and then test against the precision you need
if (Math.abs(a - b) < epsilon)
So in your case if you want to test that a floating point number equals to zero in the given precision:
if (Math.abs(a) < epsilon)
And if you want to format the numbers when outputting them in the GUI you may take a look at the following article and the NumberFormat class.