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The Java Language Specification (JLS), Section 15 §15.17.3, "Remainder Operator %" [JLS 2013], states:,

The remainder operation for operands that are integers after binary numeric promotion (§5.6.2) produces a result value such that (a/b)*b+(a%b) is equal to a. This identity holds even in the special case that the dividend is the negative integer of largest possible magnitude for its type and the divisor is -1 (the remainder is 0). It follows from this rule that the result of the remainder operation can be negative only if the dividend is negative, and can be positive only if the dividend is positive; moreover, the magnitude of the result is always less than the magnitude of the divisor.

The result of the remainder operator has the same sign as the dividend (the first operand in the expression).:

5 % 3 produces 2
5 % (-3) produces 2
(-5) % 3 produces -2
(-5) % (-3) produces  -2

Programmers may incorrectly assume that As a result, code that depends on the remainder operation to always returns return a positive result , and may code accordinglyis erroneous.

Noncompliant Code Example

This noncompliant code example uses the integer hashKey as an index into the hash array. The hash key input may be negative, producing a negative result from the remainder operator. Consequently, the lookup function will throw a java.lang.ArrayIndexOutOfBoundsException. 

private int SIZE = 16;	
public int[] hash = new int[SIZE];
	
public int lookup(int hashKey) {
  return hash[hashKey % SIZE];
}

A negative hash key produces a negative result from the remainder operator, causing the lookup() method to throw java.lang.ArrayIndexOutOfBoundsException.

Compliant Solution

This compliant solution calls a method that the imod() method, which always returns a modulus that is always positive.positive remainder:

// methodMethod imod() gives non-negativenonnegative result
private int SIZE = 16;
public int[] hash = new int[SIZE];

private int imod(int i, int j) {
  int temp = i % j;
  return (temp < 0) ? -temp : temp; 
  // unaryUnary -minus will succeed without overflow  
                                    // because temp cannot be Integer.MIN_VALUE
}
	
public int lookup(int hashKey) {
  return hash[imod(hashKey, sizeSIZE)];
}

...

Applicability

Assuming Incorrectly assuming a positive remainder when using the remainder operator from a remainder operation can result in incorrect computationserroneous code.

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Automated Detection

Automated Detection

Automated detection of uses of the % operator is straightforward. Sound determination of whether those uses correctly reflect the intent of the programmer is infeasible in the general case. Heuristic warnings may be useful.

Other Languages

This guideline appears in the C Secure Coding Standard as INT10-C. Do not assume a positive remainder when using the % operator.

This guideline appears in the C++ Secure Coding Standard as INT10-CPP. Do not assume a positive remainder when using the % operator,

Related Vulnerabilities

Search for vulnerabilities resulting from the violation of this guideline on the CERT website.

Bibliography

\[[JLS 2005|AA. Bibliography#JLS 05]\] [Section 15.17.3|http://java.sun.com/docs/books/jls/third_edition/html/expressions.html#15.17.3] "Remainder Operators"

Bibliography

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Image Added Image Added Image AddedINT01-J. Check ranges before casting integers to narrower types      06. Integers (INT)      INT03-J. Avoid casting primitive integer types to floating-point types without range checks