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sin_interpolated_negation_true-unreach-call.c
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sin_interpolated_negation_true-unreach-call.c
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extern void __VERIFIER_error() __attribute__ ((__noreturn__));
/* Example from "Towards an industrial use of FLUCTUAT on safety-critical
avionics software" by Delmas, Goubault, Putot, Souryis, Tekkal,
and Védrine. Published in FMICS 09.
Sine using an interpolation table.
*/
extern double __VERIFIER_nondet_double();
extern void __VERIFIER_assume(int expression);
void __VERIFIER_assert(int cond) { if (!(cond)) { ERROR: __VERIFIER_error(); } return; }
const double T[362] = {
0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
-0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
-0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
-0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
-0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
-0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
-0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
-0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
-0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
-0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
-0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
-0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
-0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
-0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
-0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
-0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
-0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
-0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
-0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
-0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
-0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
-0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
-0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
-0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
-0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
-0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
-0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
-0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
-0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
-0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
-0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
-0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
-0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
-0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
-0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
-0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
-0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
-0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
-0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
-0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
-0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
-0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
-0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
-0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
-0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
0, 0
};
double SIN_0_180(double x)
{
double dx, i_dx, v_inf;
double v_sup;
int i;
dx = 2*x;
i = dx;
i_dx = i;
v_inf = T[i];
v_sup = T[i+1];
return v_inf + (dx - i_dx) * (v_sup - v_inf);
}
double SIN_180(double x)
{
if (x<0) return -SIN_0_180(-x);
else return SIN_0_180(x);
}
double SIN_POS(double x)
{
if (x>180) return SIN_180(x-360.*(int)((x+180.)/360.));
else return SIN_180(x);
}
double SIN(double x)
{
if (x<0) return -SIN_POS(-x);
else return SIN_POS(x);
}
int main()
{
double a, aa, r;
for (a = -360; a <= 360; a++) {
aa = __VERIFIER_nondet_double();
__VERIFIER_assume(aa >= a / 2. && aa <= (a+1.) / 2.);
r = SIN(aa) + SIN(-aa);
__VERIFIER_assert(r >= -0.06 && r <= 0.06);
}
return 0;
}