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/* run.config*
STDOPT: +"-value-verbose 2"
*/
#include <stdlib.h>
// Tests behaviors with disjunctions.
typedef enum { OK = 0, DIVBYZERO = 1, INVALID_PARAMETER = 2} res_t;
#define MAX_ERRMSG_LEN 20
/*
Divides [dividend] by [divisor], storing the results in [quotient],
[remainder], [sign] (the sign of the resulting quotient).
[sign] is redundant, only used to make more complex specifications.
[magic_code] is a useless parameter, used to add a requires clause.
It should be different from 42.
[errmsg] is a somewhat redundant output parameter related to the error
message (if necessary). It is only assigned in case of error.
Returns 0 if the division has been successful
(e.g. divisor != 0, quotient != NULL, remainder != NULL, sign != NULL),
a positive error code otherwise.
*/
/*@
requires magic_code > 42 || magic_code <= 41;
assigns *quotient, *remainder, *sign \from dividend, divisor;
assigns \result, *(errmsg + (0 .. MAX_ERRMSG_LEN-1))
\from dividend, divisor, *quotient, *remainder, *sign;
behavior division_by_zero:
assumes divisor == 0;
requires \valid(errmsg + (0 .. MAX_ERRMSG_LEN-1));
assigns *(errmsg + (0 .. MAX_ERRMSG_LEN-1)) \from \nothing;
assigns \result \from \nothing;
ensures \result == DIVBYZERO;
behavior invalid_parameter:
assumes !\valid(quotient) || !\valid(remainder) || !\valid(sign);
requires \valid(errmsg + (0 .. MAX_ERRMSG_LEN-1));
assigns *(errmsg + (0 .. MAX_ERRMSG_LEN-1)) \from \nothing;
assigns \result \from \nothing;
ensures \result == INVALID_PARAMETER;
behavior error:
assumes divisor == 0 || !\valid(quotient)
|| !\valid(remainder) || !\valid(sign);
requires \valid(errmsg + (0 .. MAX_ERRMSG_LEN-1));
assigns *(errmsg + (0 .. MAX_ERRMSG_LEN-1)) \from \nothing;
assigns \result \from \nothing;
ensures \result == DIVBYZERO || \result == INVALID_PARAMETER;
behavior ok:
assumes \valid(quotient) && \valid(remainder) && \valid(sign);
assumes divisor < 0 || divisor > 0;
assigns *quotient, *remainder, *sign \from dividend, divisor;
assigns \result \from \nothing;
ensures \result == OK;
ensures \initialized(sign);
ensures -1 <= *sign <= 1;
behavior ok_res_sign_nonnegative:
assumes \valid(quotient) && \valid(remainder) && \valid(sign);
assumes dividend >= 0 && divisor > 0 || dividend <= 0 && divisor < 0;
assigns *quotient, *remainder, *sign \from dividend, divisor;
assigns \result \from \nothing;
ensures \result == OK;
ensures \initialized(quotient);
ensures *quotient == dividend / divisor;
ensures \initialized(remainder);
ensures *remainder == dividend % divisor;
ensures \initialized(sign);
ensures *sign == 1 || *sign == 0;
behavior ok_res_sign_nonpositive:
assumes \valid(quotient) && \valid(remainder) && \valid(sign);
assumes dividend >= 0 && divisor < 0 || dividend <= 0 && divisor > 0;
assigns *quotient, *remainder, *sign \from dividend, divisor;
assigns \result \from \nothing;
ensures \result == OK;
ensures \initialized(quotient);
ensures *quotient == dividend / divisor;
ensures \initialized(remainder);
ensures *remainder == dividend % divisor;
ensures \initialized(sign);
ensures *sign == -1 || *sign == 0;
behavior ok_quotient_zero:
assumes \valid(quotient) && \valid(remainder) && \valid(sign);
assumes divisor < 0 || divisor > 0; // redundant
assumes dividend >= 0 && dividend < divisor
|| dividend < 0 && dividend > divisor;
assigns *quotient, *remainder, *sign \from dividend, divisor;
assigns \result \from \nothing;
ensures \result == OK;
ensures \initialized(quotient);
ensures *quotient == 0;
ensures \initialized(remainder);
ensures *remainder == dividend % divisor;
ensures \initialized(sign);
ensures *sign == 0;
behavior ok_quotient_non_zero:
assumes \valid(quotient) && \valid(remainder) && \valid(sign);
assumes divisor < 0 || divisor > 0;
assumes dividend > 0 && dividend >= divisor
|| dividend < 0 && dividend < divisor;
assigns *quotient, *remainder, *sign \from dividend, divisor;
assigns \result \from \nothing;
ensures \result == OK;
ensures \initialized(quotient);
ensures *quotient == dividend / divisor;
ensures \initialized(remainder);
ensures *remainder == dividend % divisor;
ensures \initialized(sign);
ensures *sign >= -1 && *sign <= 1;
complete behaviors error, ok;
disjoint behaviors error, ok;
complete behaviors division_by_zero, invalid_parameter, ok;
complete behaviors division_by_zero, invalid_parameter,
ok_res_sign_nonnegative, ok_res_sign_nonpositive;
complete behaviors division_by_zero, invalid_parameter,
ok_quotient_zero, ok_quotient_non_zero;
complete behaviors;
disjoint behaviors ok_quotient_zero, ok_quotient_non_zero;
disjoint behaviors ok_res_sign_nonpositive, error;
disjoint behaviors ok_res_sign_nonnegative, error;
*/
res_t divi(int dividend, int divisor, int *quotient, int *remainder, int *sign,
unsigned int magic_code, char *errmsg);
/*
void mystrcpy(char *dst, char *src) {
while (*src) {
*dst = *src;
dst++;
src++;
}
}
res_t divi(int dividend, int divisor, int *quotient, int *remainder, int *sign,
unsigned int magic_code, char *errmsg) {
if (divisor == 0) {
mystrcpy(errmsg, "division by zero");
return DIVBYZERO;
}
if (!quotient) {
mystrcpy(errmsg, "invalid quotient");
return INVALID_PARAMETER;
}
if (!remainder) {
mystrcpy(errmsg, "invalid remainder");
return INVALID_PARAMETER;
}
if (!sign) {
mystrcpy(errmsg, "invalid sign");
return INVALID_PARAMETER;
}
*quotient = dividend / divisor;
*remainder = dividend % divisor;
*sign = *quotient > 0 ? 1 : (*quotient < 0 ? -1 : 0);
return OK;
} */
volatile int nondet;
void test1() {
int quotient, remainder, sign;
char errmsg[MAX_ERRMSG_LEN];
res_t r1, r2, r3, r4, r5, r6, r7, r8;
r1 = divi(60, 3, "ient, &remainder, &sign, 41, errmsg);
r2 = divi(1, 3, "ient, &remainder, &sign, 43, errmsg);
r3 = divi(-2, -5, "ient, &remainder, &sign, 41, errmsg);
r4 = divi(1, 0, "ient, &remainder, &sign, 43, errmsg);
r5 = divi(1, 1, NULL, &remainder, &sign, 0, errmsg);
r6 = divi(1, 1, "ient, NULL, &sign, 0, errmsg);
r7 = divi(1, 1, "ient, &remainder, NULL, 0, errmsg);
r8 = divi(nondet, nondet, "ient, &remainder, &sign, 0, errmsg);
}
/*@
requires x == 2 || x == 4;
assigns \result \from p1, p2;
assigns *y \from x;
ensures \initialized(\result);
behavior b1:
assumes x == 2;
requires \initialized(p1);
requires \valid(y);
assigns \result \from p1;
assigns *y \from \nothing;
ensures *y == x;
ensures \result == p1;
behavior b2:
assumes x == 4;
requires \initialized(p2);
requires \valid(y);
assigns \result \from p2;
assigns *y \from \nothing;
ensures *y == -x;
ensures \result == p2;
complete behaviors;
*/
int *f1(int x, int *y, int *p1, int *p2);
void test2() {
int a = 1, b = 2;
int *p;
int y = 42;
int x = nondet;
p = f1(x, &y, &a, &b);
}
/*@
requires x == 2 || x == 4;
assigns \result \from p1, p2;
assigns *y \from x;
ensures \initialized(\result);
behavior b1:
assumes x == 2;
requires \initialized(p1);
requires \valid(y);
assigns \result \from p1;
assigns *y \from \nothing;
ensures *y == x;
ensures \result == p1;
behavior b2:
assumes x == 4;
requires \initialized(p2);
requires \valid(y);
assigns \result \from p2;
assigns *y \from \nothing;
ensures *y == -x;
ensures \result == p2;
complete behaviors;
*/
int *f2(int x, int *y, int *p1, int *p2);
void test3() {
int a = 1, b = 2;
int *p;
int y = 42;
int x = nondet;
p = f2(x, &y, &a, &b);
}
/*@
requires x == 2 || x == 4;
assigns \result \from x;
behavior b1:
assumes x == 2;
ensures \false;
behavior b2:
assumes x == 4;
ensures \result == 1;
behavior b3:
assumes x == 6;
ensures \result == 1;
*/
int f3(int x);
void test4() {
int x = nondet;
f3(x);
}
/*@
requires x == 2 || x == 4;
assigns \result \from x;
behavior b1:
assumes x == 2;
ensures \false;
behavior b2:
assumes x == 4;
ensures \result == 1;
behavior b3:
assumes x == 6;
ensures \result == 1;
complete behaviors;
*/
int f4(int x);
void test5() {
int x = nondet;
f4(x);
}
int main() {
int quotient, remainder, sign;
char errmsg[MAX_ERRMSG_LEN];
int r;
test1();
test2();
test3();
test4();
test5();
return 0;
}
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