I have come across with the following two codes. Wh开发者_开发知识库y does it not throw an exception for floating point where as in other case it will throw a runtime exception.
class FloatingPoint
{
public static void main(String [] args)
{
float a=1000f;
float b=a/0;
System.out.println("b=" +b);
}
}
OUTPUT:b=Infinity.
If I try with int values then it will throw a runtime exception. Why is it like this?
The short answer
Integral types (JLS 4.2.1) are categorically different from floating point types (JLS 4.2.3). There may be similarities in behavior and operations, but there are also characteristically distinguishing differences such that confusing the two can lead to many pitfalls.
The difference in behavior upon division by zero is just one of these differences. Thus, the short answer is that Java behaves this way because the language says so.
On integral and floating point values
The values of the integral types are integers in the following ranges:
byte
: from-128
to127
, inclusive, i.e.[-2
7
, 2
7
-1]
short
: from-32768
to32767
, inclusive, i.e.[-2
15
, 2
15
-1]
int
: from-2147483648
to2147483647
, inclusive, i.e.[-2
31
, 2
31
-1]
long
: from-9223372036854775808
to9223372036854775807
, inclusive, i.e.[-2
63
, 2
63
-1]
char
, from'\u0000'
to'\uffff'
inclusive, that is, from0
to65535
, i.e.[0, 2
16
-1]
The floating-point types are float
and double
, which are conceptually associated with the single-precision 32-bit and double-precision 64-bit format IEEE 754 values and operations.
Their values are ordered as follows, from smallest to greatest:
- negative infinity,
- negative finite nonzero values,
- positive and negative zero (i.e.
0.0 == -0.0
), - positive finite nonzero values, and
- positive infinity.
Additionally, there are special Not-a-Number (NaN
) values, which are unordered. This means that if either (or both!) operand is NaN
:
- numerical comparison operators
<
,<=
,>
, and>=
returnfalse
- numerical equality operator
==
returnsfalse
- numerical inequality operator
!=
returnstrue
In particular, x != x
is true
if and only if x
is NaN
.
For e.g. double
, the infinities and NaN
can be referred to as:
Double.POSITIVE_INFINITY
Double.NEGATIVE_INFINITY
Double.NaN
, testable with helper methodboolean isNaN(double)
The situation is analogous with float
and Float
.
On when exceptions may be thrown
Numerical operations may only throw an Exception
in these cases:
NullPointerException
, if unboxing conversion of anull
reference is requiredArithmeticException
, if the right hand side is zero for integer divide/remainder operationsOutOfMemoryError
, if boxing conversion is required and there is not sufficient memory
They are ordered by importance, with regards to being common source for pitfalls. Generally speaking:
- Be especially careful with box types, as just like all other reference types, they may be
null
- Be especially careful with the right hand side of an integer division/remainder operations
- Arithmetic overflow/underflow DOES NOT cause an exception to be thrown
- Loss of precision DOES NOT cause an exception to be thrown
- A mathematically indefinite floating point operation DOES NOT cause an exception to be thrown
On division by zero
For integer operation:
- Division and remainder operations throws
ArithmeticException
if the right hand side is zero
For floating point operation:
- If the left operand is
NaN
or0
, the result isNaN
. - If the operation is division, it overflows and the result is a signed infinity
- If the operation is remainder, the result is
NaN
The general rule for all floating point operation is as follows:
- An operation that overflows produces a signed infinity.
- An operation that underflows produces a denormalized value or a signed zero.
- An operation that has no mathematically definite result produces
NaN
. - All numeric operations with
NaN
as an operand produceNaN
as a result.
Appendix
There are still many issues not covered by this already long answer, but readers are encouraged to browse related questions and referenced materials.
Related questions
- What do these three special floating-point values mean: positive infinity, negative infinity, NaN?
- In Java what does NaN mean.
- When can Java produce a NaN (with specific code question)
- Why does (360 / 24) / 60 = 0 … in Java (distinguish integer vs floating point operations!)
- Why null == 0 throws NullPointerException in Java? (beware the danger of boxed primitives!)
- Is 1/0 a legal Java expression? (absolutely!!!)
Because floats actually have a representation for the "number" you're trying to calculate. So it uses that. An integer has no such representation.
Java (mostly) follows IEEE754 for its floating point support, see here for more details.
It is because integer arithmetic always wraps it's result except for the case of (Division/Remainder By Zero).
In case of float, when there is an overflow or underflow, the wrapping goes to 0, infinity or NaN.
During the overflow, it gives infinity and during underflow, it gives 0.
Again there are positive & negative overflow/underflow.
Try:
float a = -1000;
float b = a/0;
System.out.println("b=" +b);
This gives a negative overflow
Output
b=-Infinity
Similarly positive underflow will result in 0 and negative underflow in -0.
Certain operations can also result in returning a NaN(Not a Number) by float/double.
For eg:
float a = -1000;
double b = Math.sqrt(a);
System.out.println("b=" +b);
Output
b=NaN
It's a programming and math standard for representing / by zero values. float has support for representing such values in JAVA. int (integer) data type doesn't have way to represent same in JAVA.
Check :
http://en.wikipedia.org/wiki/Division_by_zero
http://www.math.utah.edu/~pa/math/0by0.html
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