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According to C99, Section 5.1.2.3, "Program execution":

Rearrangement for floating-point expressions is often restricted because of limitations in precision as well as range. The implementation cannot generally apply the mathematical associative rules for addition or multiplication, nor the distributive rule, because of roundoff error, even in the absence of overflow and underflow. Likewise, implementations cannot generally replace decimal constants to rearrange expressions. In the following fragment, rearrangements suggested by mathematical rules for real numbers are often not valid.

double x, y, z;
/* ... */
x = (x * y) * z; /* not equivalent to x *= y * z; */
z = (x - y) + y ; /* not equivalent to z = x; */
z = x + x * y; /* not equivalent to z = x * (1.0 + y); */
y = x / 5.0; /* not equivalent to y = x * 0.2; */

Risk Assessment

Failing to understand the limitations in precision of floating point represented numbers and the implications of this on the arrangement of expressions can cause unexpected arithmetic results.

Recommendation

Severity

Likelihood

Remediation Cost

Priority

Level

FLP01-A

1 (low)

2 (probable)

2 (medium)

P4

L3

Related Vulnerabilities

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

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