Difference between revisions of "C generic Team1 (E-ACSL) Benchmark3"
From CRV
(→Formal Specification) |
(→Benchmark Data) |
||
| (3 intermediate revisions by the same user not shown) | |||
| Line 1: | Line 1: | ||
== Benchmark Data == | == Benchmark Data == | ||
| − | This benchmark is located in ''crv.liflab.ca@/home/e-acsl/crv16_benchmarks/c- | + | This benchmark is located in ''crv.liflab.ca@/home/e-acsl/crv16_benchmarks/c-generic-track/vampire-number'' |
=== The Trace Part === | === The Trace Part === | ||
| Line 17: | Line 17: | ||
* Each fang F of a vampire number V contains exactly D/2 digits, where D is a number of digits of V. | * Each fang F of a vampire number V contains exactly D/2 digits, where D is a number of digits of V. | ||
* A pair of fangs (F1, F2) of a vampire number V are composed of the same digits as V itself. | * A pair of fangs (F1, F2) of a vampire number V are composed of the same digits as V itself. | ||
| − | * Given a pair of | + | * Given a pair of fangs (F1, F2) of a vampire number V, F1 and F2 do not contain trailing zeroes, i.e., |
F1%10 + F2%10 > 0, | F1%10 + F2%10 > 0, | ||
| Line 31: | Line 31: | ||
==== Formal Specification ==== | ==== Formal Specification ==== | ||
| − | The formal | + | The formal specification is given using [http://frama-c.com/acsl.html ACSL] |
/*@ ensures \valid(\result) <==> \result != \null; | /*@ ensures \valid(\result) <==> \result != \null; | ||
| Line 42: | Line 42: | ||
@ ensures \valid(\result) ==> !(\result->fang1%10 == 0 && \result->fang2%10 == 0); */ | @ ensures \valid(\result) ==> !(\result->fang1%10 == 0 && \result->fang2%10 == 0); */ | ||
| − | + | where the above is a contract for a function with the following signature. | |
fangs_t* vampire_fangs(uint64_t x) | fangs_t* vampire_fangs(uint64_t x) | ||
Latest revision as of 21:16, 5 June 2016
Contents
Benchmark Data
This benchmark is located in crv.liflab.ca@/home/e-acsl/crv16_benchmarks/c-generic-track/vampire-number
The Trace Part
E-ACSL has no notion of trace
The Property Part
Informal Description
Check a property related to correct computation of a vampire number.
A vampire number V is a natural number with an even number of digits that can be factored into two integers (fangs) with the following properties:
- Each fang F of a vampire number V contains exactly D/2 digits, where D is a number of digits of V.
- A pair of fangs (F1, F2) of a vampire number V are composed of the same digits as V itself.
- Given a pair of fangs (F1, F2) of a vampire number V, F1 and F2 do not contain trailing zeroes, i.e.,
F1%10 + F2%10 > 0,
where % is a modulo operator.
Vampire number examples:
1260 = 21 x 60 104260 = 260 x 401 13078260 = 1620 × 8073
Demonstration Traces
Formal Specification
The formal specification is given using ACSL
/*@ ensures \valid(\result) <==> \result != \null; @ ensures \valid(\result) ==> \result->fang1 != 0; @ ensures \valid(\result) ==> \result->fang2 != 0; @ ensures \valid(\result) ==> ndigits(\result->fang1) == ndigits(x)/2; @ ensures \valid(\result) ==> ndigits(\result->fang2) == ndigits(x)/2; @ ensures \valid(\result) ==> ndigits(x)%2 == 0; @ ensures \valid(\result) ==> \result->fang2*\result->fang1 == x; @ ensures \valid(\result) ==> !(\result->fang1%10 == 0 && \result->fang2%10 == 0); */
where the above is a contract for a function with the following signature.
fangs_t* vampire_fangs(uint64_t x)
and fangs_t is defined as:
struct fangs_t {
uint64_t fang1;
uint64_t fang2;
} ;
