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Range of remainder of two positive integers, wrong and missing assertions.

ID0002129: This issue was created automatically from Mantis Issue 2129. Further discussion may take place here.


Id Project Category View Due Date Updated
ID0002129 Frama-C Plug-in > wp public 2015-06-04 2015-06-29
Reporter loic Assigned To correnson Resolution no change required
Priority normal Severity major Reproducibility always
Platform Linux OS Ubuntu OS Version 12.04.5 LTS
Product Version - Target Version - Fixed in Version -

Description :

Nitrogen-20111001 alt-ergo 0.94

False negative and false positive int the following code.

/@ requires 0 <= n; / void modulo_testcase_0(unsigned n) { /@ ghost unsigned q = n / 2; / /@ ghost unsigned r = n % 2; / /@ assert 0 <= n; / / OK / /@ assert n == 2q + r; / / OK / /@ assert 0 <= q; / / OK / /@ assert 0 <= r < 1; / / NOK, cannot be proven */ }

/*@ requires 0 <= n && 0 < d; / void modulo_testcase_1(int n, int d) { /@ assert n <= d * (n / d); / / NOK, cannot be proven / /@ ghost int q = n / d; / / OK / /@ ghost int r = n % d; / / OK / /@ assert 0 <= r < 1; / / NOK, r < d is true / /@ assert n <= d * (n / d); / / OK */ }

Steps To Reproduce :

frama-c -wp -wp-rte on the code above (also as attachment).

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