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frama_c_files_v2/test_frama_c_2021.c
#include <limits.h> /*@ requires (((x1>0) && \valid(x0+(0..x1-1))) && \valid(x2+(0..x1-1))); ensures ((((0<=\result) && (\result<=x1)) && (\forall int x74; (((0<=x74) && (x74<\result)) ==> ((0<=x2[x74]) && (x2[x74]<x1))))) && (\forall int x86; (((0<x86) && (x86<\result)) ==> (x2[(x86-1)]<x2[x86])))); assigns x2[(0..x1-1)]; */ int index_where_even(int * x0, int x1, int * x2) { int x5 = 0; /*@ loop invariant ((((((0<=x6) && (x6<=x1)) && (0<=x5)) && (x5<=x6)) && (\forall int x28; (((0<=x28) && (x28<x5)) ==> ((0<=x2[x28]) && (x2[x28]<x6))))) && (\forall int x42; (((0<x42) && (x42<x5)) ==> (x2[(x42-1)]<x2[x42])))); loop assigns x6, x5, x2[(0..x1-1)]; loop variant (x1-x6); */ for(int x6=0; x6 < x1; x6++) { int x7 = x0[x6]; int x8 = x7 % 2; int x9 = x8 == 0; if (x9) { int x10 = x5; x2[x10] = x6; x5 += 1; } else { } } int x62 = x5; return x62; }
#include <limits.h> /*@ requires (((x1>0) && \valid(x0+(0..x1-1))) && \valid(x2+(0..x1-1))); ensures ((((0<=\result) && (\result<=x1)) && (\forall int x74; (((0<=x74) && (x74<\result)) ==> ((0<=x2[x74]) && (x2[x74]<x1))))) && (\forall int x86; (((0<x86) && (x86<\result)) ==> (x2[(x86-1)]<x2[x86])))); assigns x2[(0..x1-1)]; */
int index_where_even(int * x0, int x1, int * x2) { int x5 = 0; /*@ loop invariant ((((((0<=x6) && (x6<=x1)) && (0<=x5)) && (x5<=x6)) && (\forall int x28; (((0<=x28) && (x28<x5)) ==> ((0<=x2[x28]) && (x2[x28]<x6))))) && (\forall int x42; (((0<x42) && (x42<x5)) ==> (x2[(x42-1)]<x2[x42])))); loop assigns x6, x5, x2[(0..x1-1)]; loop variant (x1-x6); */ for(int x6=0; x6 < x1; x6++) { int x7 = x0[x6]; int x8 = x7 % 2; int x9 = x8 == 0; if (x9) { int x10 = x5; x2[x10] = x6; x5 += 1; } else { } } int x62 = x5; return x62; }
true
15
15
int index_where_even(int * x0, int x1, int * x2) { int x5 = 0; /*@ loop invariant ((((((0<=x6) && (x6<=x1)) && (0<=x5)) && (x5<=x6)) && (\forall int x28; (((0<=x28) && (x28<x5)) ==> ((0<=x2[x28]) && (x2[x28]<x6))))) && (\forall int x42; (((0<x42) && (x42<x5)) ==> (x2[(x42-1)]<x2[x42])))); loop assigns x6, x5, x2[(0..x1-1)]; loop variant (x1-x6); */ for(int x6=0; x6 < x1; x6++) { int x7 = x0[x6]; int x8 = x7 % 2; int x9 = x8 == 0; if (x9) { int x10 = x5; x2[x10] = x6; x5 += 1; } else { } } int x62 = x5; return x62; }
#include <limits.h> /*@ requires (((x1>0) && \valid(x0+(0..x1-1))) && \valid(x2+(0..x1-1))); ensures ((((0<=\result) && (\result<=x1)) && (\forall int x74; (((0<=x74) && (x74<\result)) ==> ((0<=x2[x74]) && (x2[x74]<x1))))) && (\forall int x86; (((0<x86) && (x86<\result)) ==> (x2[(x86-1)]<x2[x86])))); assigns x2[(0..x1-1)]; */
frama_c_files_v2/test_frama_c_2289.c
#include <stdlib.h> /*@ requires n >= 0 && n <= 100; ensures \result >= 0; ensures \result == (int)((n+1)*(n)/2); assigns \nothing; */ int sum(char n) { int s = 0; char k = 0; /*@ loop invariant 0 <= k <= n+1; loop invariant s == (k-1)*(k)/2; loop assigns k, s; loop variant n - k; */ while(k <= n) { s = s + (int)k; k = k + 1; } return (int)s; } int main() { int s = sum(5); //@ assert s == 15; }
#include <stdlib.h> /*@ requires n >= 0 && n <= 100; ensures \result >= 0; ensures \result == (int)((n+1)*(n)/2); assigns \nothing; */
int sum(char n) { int s = 0; char k = 0; /*@ loop invariant 0 <= k <= n+1; loop invariant s == (k-1)*(k)/2; loop assigns k, s; loop variant n - k; */ while(k <= n) { s = s + (int)k; k = k + 1; } return (int)s; }
true
15
15
int sum(char n) { int s = 0; char k = 0; /*@ loop invariant 0 <= k <= n+1; loop invariant s == (k-1)*(k)/2; loop assigns k, s; loop variant n - k; */ while(k <= n) { s = s + (int)k; k = k + 1; } return (int)s; }
#include <stdlib.h> /*@ requires n >= 0 && n <= 100; ensures \result >= 0; ensures \result == (int)((n+1)*(n)/2); assigns \nothing; */
frama_c_files_v2/test_frama_c_2309.c
#include<stdio.h> /*@ requires \valid(a) && \valid(b) && \valid(c) ; requires \separated(a, b, c); assigns *a, *b, *c ; ensures *a <= *b <= *c ; ensures { *a, *b, *c } == \old({ *a, *b, *c }) ; ensures \old(*a == *b == *c) ==> *a == *b == *c ; ensures \old(*a == *b < *c || *a == *c < *b || *b == *c < *a) ==> *a == *b ; ensures \old(*a == *b > *c || *a == *c > *b || *b == *c > *a) ==> *b == *c ; */ void order_3(int* a,int* b,int* c){ if(*a > *b){int tmp = *b ;*b = *a ;*a = tmp ; } if(*a > *c){int tmp = *c ; *c = *a ;*a = tmp ; } if(*b > *c){int tmp = *b ;*b = *c ;*c = tmp ;} } void test(){ int a1 =5, b1=3, c1=4; order_3(&a1, &b1, &c1) ; //@ assert a1 == 3 && b1 == 4 && c1 == 5 ; int a2 =2, b2=2, c2=2; order_3(&a2, &b2, &c2) ; //@ assert a2 == 2 && b2 == 2 && c2 == 2 ; int a3 =4, b3=3, c3=4; order_3(&a3, &b3, &c3) ; //@ assert a3 == 3 && b3 == 4 && c3 == 4 ; int a4 =4, b4=5, c4=4; order_3(&a4, &b4, &c4) ; //@ assert a4 == 4 && b4 == 4 && c4 == 5 ; }
#include<stdio.h> /*@ requires \valid(a) && \valid(b) && \valid(c) ; requires \separated(a, b, c); assigns *a, *b, *c ; ensures *a <= *b <= *c ; ensures { *a, *b, *c } == \old({ *a, *b, *c }) ; ensures \old(*a == *b == *c) ==> *a == *b == *c ; ensures \old(*a == *b < *c || *a == *c < *b || *b == *c < *a) ==> *a == *b ; ensures \old(*a == *b > *c || *a == *c > *b || *b == *c > *a) ==> *b == *c ; */
void order_3(int* a,int* b,int* c){ if(*a > *b){int tmp = *b ;*b = *a ;*a = tmp ; } if(*a > *c){int tmp = *c ; *c = *a ;*a = tmp ; } if(*b > *c){int tmp = *b ;*b = *c ;*c = tmp ;} }
true
31
31
void order_3(int* a,int* b,int* c){ if(*a > *b){int tmp = *b ;*b = *a ;*a = tmp ; } if(*a > *c){int tmp = *c ; *c = *a ;*a = tmp ; } if(*b > *c){int tmp = *b ;*b = *c ;*c = tmp ;} }
#include<stdio.h> /*@ requires \valid(a) && \valid(b) && \valid(c) ; requires \separated(a, b, c); assigns *a, *b, *c ; ensures *a <= *b <= *c ; ensures { *a, *b, *c } == \old({ *a, *b, *c }) ; ensures \old(*a == *b == *c) ==> *a == *b == *c ; ensures \old(*a == *b < *c || *a == *c < *b || *b == *c < *a) ==> *a == *b ; ensures \old(*a == *b > *c || *a == *c > *b || *b == *c > *a) ==> *b == *c ; */
frama_c_files_v2/test_frama_c_2622.c
// =================== Exercies 1 =================== /*@ @ ensures \result >= a; @ ensures \result >= b; @ ensures \result >= c; @ ensures \result == a || \result == b || \result == c; @ assigns \nothing; */ int max3(int a, int b, int c) { if (a >= b && a >= c) return a; if (b >= b && b >= c) return b; return c; } // =================== Exercies 2 =================== /*@ @ requires 0 < n <= 100000000; @ requires \valid(t+(0..n - 1)); @ @ ensures \forall int i; 0 <= i < n ==> t[i] == 2 * i; */ void double_(int t[], int n) { /*@ @ loop invariant 0 <= i <= n; @ loop invariant \forall int j; 0 <= j < i ==> t[j] == 2 * j; @ loop variant n - i; */ for (int i = 0; i < n; ++i) { t[i] = 2 * i; } } // =================== Exercies 3 =================== /*@ @ requires \valid(arr+(0.. n - 1)); @ requires n > 0; @ @ assigns \nothing; @ behavior true_: @ assumes \forall int i; 1 <= i < n ==> arr[i] > arr[i - 1]; @ ensures \result == 1; @ behavior false_: @ assumes \exists int i; 1 <= i < n && arr[i] <= arr[i - 1]; @ ensures \result == 0; */ int increasing(int arr[], int n) { /*@ @ loop invariant 1 <= i <= n; @ loop invariant \forall int j; 1 <= j < i ==> arr[j] > arr[j - 1]; @ loop variant n - i; */ for (int i = 1; i < n; ++i) { if (arr[i] <= arr[i - 1]) return 0; } return 1; } // =================== Exercies 4 =================== /*@ @ requires \valid(arr+(0.. n - 1)); @ requires n > 0; @ @ assigns \nothing; @ behavior true_: @ assumes \forall int i; 1 <= i < n ==> arr[i] < arr[i - 1]; @ ensures \result == 1; @ behavior false_: @ assumes \exists int i; 1 <= i < n && arr[i] >= arr[i - 1]; @ ensures \result == 0; */ int decreasing(int arr[], int n) { /*@ @ loop invariant 1 <= i <= n; @ loop invariant \forall int j; 1 <= j < i ==> arr[j] < arr[j - 1]; @ loop variant n - i; */ for (int i = 1; i < n; ++i) { if (arr[i] >= arr[i - 1]) return 0; } return 1; } /*@ @ requires \valid(arr+(0.. n - 1)); @ requires n > 0; @ @ assigns \nothing; @ behavior increaing: @ assumes \forall int i; 1 <= i < n ==> arr[i] > arr[i - 1]; @ ensures \result == 1; @ behavior decreasing: @ assumes \forall int i; 1 <= i < n ==> arr[i] < arr[i - 1]; @ ensures \result == -1; @ behavior none: @ assumes \exists int i; 1 <= i < n && arr[i] <= arr[i - 1]; @ assumes \exists int i; 1 <= i < n && arr[i] >= arr[i - 1]; @ ensures \result == 0; */ int monotomic(int arr[], int n) { if (increasing(arr, n)) return 1; if (decreasing(arr, n)) return -1; return 0; }
/*@ @ ensures \result >= a; @ ensures \result >= b; @ ensures \result >= c; @ ensures \result == a || \result == b || \result == c; @ assigns \nothing; */
int max3(int a, int b, int c) { if (a >= b && a >= c) return a; if (b >= b && b >= c) return b; return c; }
true
9
9
int max3(int a, int b, int c) { if (a >= b && a >= c) return a; if (b >= b && b >= c) return b; return c; }
/*@ @ ensures \result >= a; @ ensures \result >= b; @ ensures \result >= c; @ ensures \result == a || \result == b || \result == c; @ assigns \nothing; */
frama_c_files_v2/test_frama_c_2784.c
/*@ inductive is_gcd(integer a, integer b, integer d) { case gcd_zero: \forall integer n; is_gcd(n,0,n); case gcd_succ: \forall integer a,b,d; is_gcd(b, a % b, d) ==> is_gcd(a,b,d); } */ /*@ axiomatic gcd { logic integer gcd(integer a, integer b); axiom nil: \forall integer n; gcd(n,0) == n; axiom next: \forall integer a,b; gcd(b, a % b) == gcd(a,b); } */ /*@ decreases b; assigns \nothing; ensures is_gcd(a, b, \result); ensures \result == gcd(a, b); */ unsigned gcd_rec(unsigned a, unsigned b) { if (b == 0) return a; return gcd_rec(b, a % b); }
/*@ inductive is_gcd(integer a, integer b, integer d) { case gcd_zero: \forall integer n; is_gcd(n,0,n); case gcd_succ: \forall integer a,b,d; is_gcd(b, a % b, d) ==> is_gcd(a,b,d); } */ /*@ axiomatic gcd { logic integer gcd(integer a, integer b); axiom nil: \forall integer n; gcd(n,0) == n; axiom next: \forall integer a,b; gcd(b, a % b) == gcd(a,b); } */ /*@ decreases b; assigns \nothing; ensures is_gcd(a, b, \result); ensures \result == gcd(a, b); */
unsigned gcd_rec(unsigned a, unsigned b) { if (b == 0) return a; return gcd_rec(b, a % b); }
true
11
11
unsigned gcd_rec(unsigned a, unsigned b) { if (b == 0) return a; return gcd_rec(b, a % b); }
/*@ inductive is_gcd(integer a, integer b, integer d) { case gcd_zero: \forall integer n; is_gcd(n,0,n); case gcd_succ: \forall integer a,b,d; is_gcd(b, a % b, d) ==> is_gcd(a,b,d); } */ /*@ axiomatic gcd { logic integer gcd(integer a, integer b); axiom nil: \forall integer n; gcd(n,0) == n; axiom next: \forall integer a,b; gcd(b, a % b) == gcd(a,b); } */ /*@ decreases b; assigns \nothing; ensures is_gcd(a, b, \result); ensures \result == gcd(a, b); */
frama_c_files_v2/test_frama_c_152.c
/*@ assigns \nothing; ensures \result == a / 2; */ unsigned rshift(unsigned a) { return a >> 1; }
/*@ assigns \nothing; ensures \result == a / 2; */
unsigned rshift(unsigned a) { return a >> 1; }
true
4
4
unsigned rshift(unsigned a) { return a >> 1; }
/*@ assigns \nothing; ensures \result == a / 2; */
frama_c_files_v2/test_frama_c_2592.c
// Program to find index of an element in an array // Behaviors not used in this program /*@ requires n >= 0; requires \valid_read(arr+(0..n-1)); assigns \nothing; ensures -1 <= \result < n; ensures 0 <= \result < n ==> arr[\result] == x; ensures (\result == -1) ==> (\forall integer i; 0 <= i < n ==> arr[i] != x); assigns \nothing; */ int array_find(int* arr, int n, int x) { int i = 0; /*@ loop invariant 0 <= i <= n; loop invariant \forall integer k; 0 <= k < i ==> arr[k] != x; loop assigns i; loop variant n-i; */ for (i = 0; i < n; i++) { if (arr[i] == x) { return i; } } return -1; } // from this directory run: frama-c-gui -wp array_find.c
/*@ requires n >= 0; requires \valid_read(arr+(0..n-1)); assigns \nothing; ensures -1 <= \result < n; ensures 0 <= \result < n ==> arr[\result] == x; ensures (\result == -1) ==> (\forall integer i; 0 <= i < n ==> arr[i] != x); assigns \nothing; */
int array_find(int* arr, int n, int x) { int i = 0; /*@ loop invariant 0 <= i <= n; loop invariant \forall integer k; 0 <= k < i ==> arr[k] != x; loop assigns i; loop variant n-i; */ for (i = 0; i < n; i++) { if (arr[i] == x) { return i; } } return -1; }
true
18
18
int array_find(int* arr, int n, int x) { int i = 0; /*@ loop invariant 0 <= i <= n; loop invariant \forall integer k; 0 <= k < i ==> arr[k] != x; loop assigns i; loop variant n-i; */ for (i = 0; i < n; i++) { if (arr[i] == x) { return i; } } return -1; }
/*@ requires n >= 0; requires \valid_read(arr+(0..n-1)); assigns \nothing; ensures -1 <= \result < n; ensures 0 <= \result < n ==> arr[\result] == x; ensures (\result == -1) ==> (\forall integer i; 0 <= i < n ==> arr[i] != x); assigns \nothing; */
frama_c_files_v2/test_frama_c_1355.c
#include <limits.h> /*@ requires ((x1>0) && \valid(x0+(0..x1-1))); assigns \nothing; ensures (((\result==-1) ==> (!(\exists int x56; (((0<=x56) && (x56<x1)) && (x0[x56]==x2))))) && ((\result!=-1) ==> (((0<=\result) && (\result<x1)) && (x0[\result]==x2)))); */ int member(int * x0, int x1, int x2) { int x4 = -1; /*@ loop invariant ((((0<=x6) && (x6<=x1)) && ((x4==-1) ==> (!(\exists int x22; (((0<=x22) && (x22<x6)) && (x0[x22]==x2)))))) && ((x4!=-1) ==> (((0<=x4) && (x4<x6)) && (x0[x4]==x2)))); loop assigns x6, x4; loop variant (x1-x6); */ for(int x6=0; x6 < x1; x6++) { int x7 = x4; int x8 = x7 == -1; int x11; if (x8) { int x9 = x0[x6]; int x10 = x9 == x2; x11 = x10; } else { x11 = 0/*false*/; } if (x11) { x4 = x6; } else { } } int x50 = x4; return x50; }
#include <limits.h> /*@ requires ((x1>0) && \valid(x0+(0..x1-1))); assigns \nothing; ensures (((\result==-1) ==> (!(\exists int x56; (((0<=x56) && (x56<x1)) && (x0[x56]==x2))))) && ((\result!=-1) ==> (((0<=\result) && (\result<x1)) && (x0[\result]==x2)))); */
int member(int * x0, int x1, int x2) { int x4 = -1; /*@ loop invariant ((((0<=x6) && (x6<=x1)) && ((x4==-1) ==> (!(\exists int x22; (((0<=x22) && (x22<x6)) && (x0[x22]==x2)))))) && ((x4!=-1) ==> (((0<=x4) && (x4<x6)) && (x0[x4]==x2)))); loop assigns x6, x4; loop variant (x1-x6); */ for(int x6=0; x6 < x1; x6++) { int x7 = x4; int x8 = x7 == -1; int x11; if (x8) { int x9 = x0[x6]; int x10 = x9 == x2; x11 = x10; } else { x11 = 0/*false*/; } if (x11) { x4 = x6; } else { } } int x50 = x4; return x50; }
true
13
13
int member(int * x0, int x1, int x2) { int x4 = -1; /*@ loop invariant ((((0<=x6) && (x6<=x1)) && ((x4==-1) ==> (!(\exists int x22; (((0<=x22) && (x22<x6)) && (x0[x22]==x2)))))) && ((x4!=-1) ==> (((0<=x4) && (x4<x6)) && (x0[x4]==x2)))); loop assigns x6, x4; loop variant (x1-x6); */ for(int x6=0; x6 < x1; x6++) { int x7 = x4; int x8 = x7 == -1; int x11; if (x8) { int x9 = x0[x6]; int x10 = x9 == x2; x11 = x10; } else { x11 = 0/*false*/; } if (x11) { x4 = x6; } else { } } int x50 = x4; return x50; }
#include <limits.h> /*@ requires ((x1>0) && \valid(x0+(0..x1-1))); assigns \nothing; ensures (((\result==-1) ==> (!(\exists int x56; (((0<=x56) && (x56<x1)) && (x0[x56]==x2))))) && ((\result!=-1) ==> (((0<=\result) && (\result<x1)) && (x0[\result]==x2)))); */
frama_c_files_v2/test_frama_c_340.c
/*@ predicate swapped{L1,L2}(int *a, int *b) = \at(*a, L2) == \at(*b,L1) && \at(*b, L2) == \at(*a,L1); */ /*@ requires \valid(a); requires \valid(b); assigns *a, *b; ensures swapped{Pre, Post}(a, b); */ void swap(int *a, int *b) { int tmp = *a; *a = *b; *b = tmp; }
/*@ predicate swapped{L1,L2}(int *a, int *b) = \at(*a, L2) == \at(*b,L1) && \at(*b, L2) == \at(*a,L1); */ /*@ requires \valid(a); requires \valid(b); assigns *a, *b; ensures swapped{Pre, Post}(a, b); */
void swap(int *a, int *b) { int tmp = *a; *a = *b; *b = tmp; }
true
9
9
void swap(int *a, int *b) { int tmp = *a; *a = *b; *b = tmp; }
/*@ predicate swapped{L1,L2}(int *a, int *b) = \at(*a, L2) == \at(*b,L1) && \at(*b, L2) == \at(*a,L1); */ /*@ requires \valid(a); requires \valid(b); assigns *a, *b; ensures swapped{Pre, Post}(a, b); */
frama_c_files_v2/test_frama_c_769.c
/*@ requires a >= -2147483648 && a <= 2147483647; requires b >= -2147483648 && b <= 2147483647; ensures \result == a; */ int trans(int a, int b){ int c = a; b = c; return b; }
/*@ requires a >= -2147483648 && a <= 2147483647; requires b >= -2147483648 && b <= 2147483647; ensures \result == a; */
int trans(int a, int b){ int c = a; b = c; return b; }
true
3
3
int trans(int a, int b){ int c = a; b = c; return b; }
/*@ requires a >= -2147483648 && a <= 2147483647; requires b >= -2147483648 && b <= 2147483647; ensures \result == a; */
frama_c_files_v2/test_frama_c_456.c
/*@ requires \valid(p); requires \valid(q); assigns *p; assigns *q; ensures *p == \old(*q); ensures *q == \old(*p); */ void swap(int* p, int* q){ int tmp = *p; *p=*q; *q=tmp; return; }
/*@ requires \valid(p); requires \valid(q); assigns *p; assigns *q; ensures *p == \old(*q); ensures *q == \old(*p); */
void swap(int* p, int* q){ int tmp = *p; *p=*q; *q=tmp; return; }
true
10
10
void swap(int* p, int* q){ int tmp = *p; *p=*q; *q=tmp; return; }
/*@ requires \valid(p); requires \valid(q); assigns *p; assigns *q; ensures *p == \old(*q); ensures *q == \old(*p); */
frama_c_files_v2/test_frama_c_1378.c
//find the max element of array /*@ requires n>0; requires \valid_read(arr+(0..n-1)); ensures \forall integer res; 0<=res<n ==> \result >= arr[res]; */ int checkPrime(int arr[], int n) { int max = arr[0]; /*@ loop invariant \forall integer k; 0<=k<i ==> max>=arr[k]; loop invariant 1<=i<=n; loop assigns i, max; loop variant n-i; */ for (int i = 1; i < n; i++) { if (max < arr[i]) { max = arr[i]; } } return max; }
/*@ requires n>0; requires \valid_read(arr+(0..n-1)); ensures \forall integer res; 0<=res<n ==> \result >= arr[res]; */
int checkPrime(int arr[], int n) { int max = arr[0]; /*@ loop invariant \forall integer k; 0<=k<i ==> max>=arr[k]; loop invariant 1<=i<=n; loop assigns i, max; loop variant n-i; */ for (int i = 1; i < n; i++) { if (max < arr[i]) { max = arr[i]; } } return max; }
true
14
14
int checkPrime(int arr[], int n) { int max = arr[0]; /*@ loop invariant \forall integer k; 0<=k<i ==> max>=arr[k]; loop invariant 1<=i<=n; loop assigns i, max; loop variant n-i; */ for (int i = 1; i < n; i++) { if (max < arr[i]) { max = arr[i]; } } return max; }
/*@ requires n>0; requires \valid_read(arr+(0..n-1)); ensures \forall integer res; 0<=res<n ==> \result >= arr[res]; */
frama_c_files_v2/test_frama_c_490.c
/*@ requires \valid(a); requires \valid(b); assigns *a; assigns *b; ensures *a == \old(*b); ensures *b == \old(*a); */ void swap(int *a, int *b); /*@ requires \valid(a); requires \valid(b); assigns *a, *b; ensures *a <= *b; behavior ret: assumes *a <= *b; ensures *a == \old(*a); ensures *b == \old(*b); behavior swap: assumes *a > *b; ensures *a == \old(*b); ensures *b == \old(*a); complete behaviors; disjoint behaviors; */ void max_ptr(int *a, int *b) { if (*a <= *b) { return; } else { swap(a, b); } }
/*@ requires \valid(a); requires \valid(b); assigns *a; assigns *b; ensures *a == \old(*b); ensures *b == \old(*a); */ void swap(int *a, int *b); /*@ requires \valid(a); requires \valid(b); assigns *a, *b; ensures *a <= *b; behavior ret: assumes *a <= *b; ensures *a == \old(*a); ensures *b == \old(*b); behavior swap: assumes *a > *b; ensures *a == \old(*b); ensures *b == \old(*a); complete behaviors; disjoint behaviors; */
void max_ptr(int *a, int *b) { if (*a <= *b) { return; } else { swap(a, b); } }
true
15
15
void max_ptr(int *a, int *b) { if (*a <= *b) { return; } else { swap(a, b); } }
/*@ requires \valid(a); requires \valid(b); assigns *a; assigns *b; ensures *a == \old(*b); ensures *b == \old(*a); */ void swap(int *a, int *b); /*@ requires \valid(a); requires \valid(b); assigns *a, *b; ensures *a <= *b; behavior ret: assumes *a <= *b; ensures *a == \old(*a); ensures *b == \old(*b); behavior swap: assumes *a > *b; ensures *a == \old(*b); ensures *b == \old(*a); complete behaviors; disjoint behaviors; */
frama_c_files_v2/test_frama_c_2075.c
# pragma SeparationPolicy(none) /*@ requires \valid(p); requires \valid(q); assigns *p; assigns *q; ensures *p == \old(*q); ensures *q == \old(*p); */ void swap(int* p, int* q) { int const save = *p; *p = *q; *q = save; } int main () { int p[2] = { 0,1}; int *q = (int *)((char*)q+1); swap(p,q); }
/*@ requires \valid(p); requires \valid(q); assigns *p; assigns *q; ensures *p == \old(*q); ensures *q == \old(*p); */
void swap(int* p, int* q) { int const save = *p; *p = *q; *q = save; }
true
10
10
void swap(int* p, int* q) { int const save = *p; *p = *q; *q = save; }
/*@ requires \valid(p); requires \valid(q); assigns *p; assigns *q; ensures *p == \old(*q); ensures *q == \old(*p); */
frama_c_files_v2/test_frama_c_1166.c
#include <limits.h> #include <string.h> /*@ requires ((strlen(x0)>=0) && \valid(x0+(0..strlen(x0)))); assigns \nothing; ensures ((\result==-1) || ((0<=\result) && (\result<=9))); */ int p(char * x0) { int x8 = -1; int x9 = 1/*true*/; char x10 = '\0'; char *x11 = 0/*null*/; char x2 = x0[0]; int x3 = x2 == '\0'; if (x3) { x11 = x0; } else { int x4 = x2 >= '0'; int x6; if (x4) { int x5 = x2 <= '9'; x6 = x5; } else { x6 = 0/*false*/; } if (x6) { x9 = 0/*false*/; x10 = x2; char *x7 = x0+1; x11 = x7; } else { x11 = x0; } } int x23 = x9; if (x23) { char *x24 = x11; } else { char x26 = x10; char *x28 = x11; char x27 = x26 - '0'; x8 = x27; } int x32 = x8; return x32; }
#include <limits.h> #include <string.h> /*@ requires ((strlen(x0)>=0) && \valid(x0+(0..strlen(x0)))); assigns \nothing; ensures ((\result==-1) || ((0<=\result) && (\result<=9))); */
int p(char * x0) { int x8 = -1; int x9 = 1/*true*/; char x10 = '\0'; char *x11 = 0/*null*/; char x2 = x0[0]; int x3 = x2 == '\0'; if (x3) { x11 = x0; } else { int x4 = x2 >= '0'; int x6; if (x4) { int x5 = x2 <= '9'; x6 = x5; } else { x6 = 0/*false*/; } if (x6) { x9 = 0/*false*/; x10 = x2; char *x7 = x0+1; x11 = x7; } else { x11 = x0; } } int x23 = x9; if (x23) { char *x24 = x11; } else { char x26 = x10; char *x28 = x11; char x27 = x26 - '0'; x8 = x27; } int x32 = x8; return x32; }
true
13
13
int p(char * x0) { int x8 = -1; int x9 = 1/*true*/; char x10 = '\0'; char *x11 = 0/*null*/; char x2 = x0[0]; int x3 = x2 == '\0'; if (x3) { x11 = x0; } else { int x4 = x2 >= '0'; int x6; if (x4) { int x5 = x2 <= '9'; x6 = x5; } else { x6 = 0/*false*/; } if (x6) { x9 = 0/*false*/; x10 = x2; char *x7 = x0+1; x11 = x7; } else { x11 = x0; } } int x23 = x9; if (x23) { char *x24 = x11; } else { char x26 = x10; char *x28 = x11; char x27 = x26 - '0'; x8 = x27; } int x32 = x8; return x32; }
#include <limits.h> #include <string.h> /*@ requires ((strlen(x0)>=0) && \valid(x0+(0..strlen(x0)))); assigns \nothing; ensures ((\result==-1) || ((0<=\result) && (\result<=9))); */
frama_c_files_v2/test_frama_c_1048.c
/* **************************************************************************** MATRICE SYMÉTRIQUE L'énoncé est introduit sous la forme de commentaires C. Les différents morceaux de programme et de spécification à considérer sont mentionnés en programmation littéraire : https://en.wikipedia.org/wiki/Literate_programming ************************************************************************* */ /* --------------------------------------------------------------------------- Petits rappels de mathématiques élémentaires à toutes fins utiles : - Une matrice carrée de taille N (N, entier naturel) est une matrice possédant N lignes et N colonnes. - Une matrice carrée A est dite symétrique si et seulement si A_{ij} = A_{ji} pour toute ligne [i] et colonne [j]. ------------------------------------------------------------------------- */ #include <stdbool.h> /* --------------------------------------------------------------------------- La fonction [is_symmetric] ci-dessous retourne [true] si et seulement si [matrix] est une matrice symétrique de taille [len]. Elle retourne [false] sinon. Question 1 : spécifier cette fonction en utilisant des comportements ACSL. Question 2 : prouver cette fonction, y compris sa terminaison et l'absence d'erreurs à l'exécution. ------------------------------------------------------------------------- */ /*@ requires \valid(matrix[0..len-1]+(0..len-1)); @ requires \valid(matrix+(0..len-1)); @ requires len >= 0; @ assigns \nothing; @ behavior symm: @ assumes \forall integer i,j; 0 <= i < len ==> 0 <= j < len ==> matrix[i][j] == matrix[j][i]; @ ensures \result == true; @ behavior nosymm: @ assumes \exists integer i,j; 0 <= i < len && 0 <= j < len && matrix[i][j] != matrix[j][i]; @ ensures \result == false; @ complete behaviors; @ disjoint behaviors; @ */ _Bool is_symmetric(int **matrix, int len) { /*@loop invariant 0 <= i <= len; @loop invariant \forall integer k, l; 0 <= k < i ==> 0 <= l < k ==> matrix[k][l] == matrix[l][k]; @loop assigns i; @loop variant len - i; @ */ for (int i = 0; i < len; i++) /*@loop invariant 0 <= j <= i; @loop invariant \forall integer k; 0 <= k < j ==> matrix[i][k] == matrix[k][i]; @loop assigns j; @loop variant i - j; @ */ for (int j = 0; j < i; j++) if (matrix[i][j] != matrix[j][i]) return false; return true; }
#include <stdbool.h> /*@ requires \valid(matrix[0..len-1]+(0..len-1)); @ requires \valid(matrix+(0..len-1)); @ requires len >= 0; @ assigns \nothing; @ behavior symm: @ assumes \forall integer i,j; 0 <= i < len ==> 0 <= j < len ==> matrix[i][j] == matrix[j][i]; @ ensures \result == true; @ behavior nosymm: @ assumes \exists integer i,j; 0 <= i < len && 0 <= j < len && matrix[i][j] != matrix[j][i]; @ ensures \result == false; @ complete behaviors; @ disjoint behaviors; @ */
_Bool is_symmetric(int **matrix, int len) { /*@loop invariant 0 <= i <= len; @loop invariant \forall integer k, l; 0 <= k < i ==> 0 <= l < k ==> matrix[k][l] == matrix[l][k]; @loop assigns i; @loop variant len - i; @ */ for (int i = 0; i < len; i++) /*@loop invariant 0 <= j <= i; @loop invariant \forall integer k; 0 <= k < j ==> matrix[i][k] == matrix[k][i]; @loop assigns j; @loop variant i - j; @ */ for (int j = 0; j < i; j++) if (matrix[i][j] != matrix[j][i]) return false; return true; }
true
31
31
_Bool is_symmetric(int **matrix, int len) { /*@loop invariant 0 <= i <= len; @loop invariant \forall integer k, l; 0 <= k < i ==> 0 <= l < k ==> matrix[k][l] == matrix[l][k]; @loop assigns i; @loop variant len - i; @ */ for (int i = 0; i < len; i++) /*@loop invariant 0 <= j <= i; @loop invariant \forall integer k; 0 <= k < j ==> matrix[i][k] == matrix[k][i]; @loop assigns j; @loop variant i - j; @ */ for (int j = 0; j < i; j++) if (matrix[i][j] != matrix[j][i]) return false; return true; }
#include <stdbool.h> /*@ requires \valid(matrix[0..len-1]+(0..len-1)); @ requires \valid(matrix+(0..len-1)); @ requires len >= 0; @ assigns \nothing; @ behavior symm: @ assumes \forall integer i,j; 0 <= i < len ==> 0 <= j < len ==> matrix[i][j] == matrix[j][i]; @ ensures \result == true; @ behavior nosymm: @ assumes \exists integer i,j; 0 <= i < len && 0 <= j < len && matrix[i][j] != matrix[j][i]; @ ensures \result == false; @ complete behaviors; @ disjoint behaviors; @ */
frama_c_files_v2/test_frama_c_1499.c
/*@ assigns \nothing; ensures \result == \max(a, b) - \min(a, b); */ unsigned distance(unsigned a, unsigned b) { return (a > b) ? (a - b) : (b - a); }
/*@ assigns \nothing; ensures \result == \max(a, b) - \min(a, b); */
unsigned distance(unsigned a, unsigned b) { return (a > b) ? (a - b) : (b - a); }
true
5
5
unsigned distance(unsigned a, unsigned b) { return (a > b) ? (a - b) : (b - a); }
/*@ assigns \nothing; ensures \result == \max(a, b) - \min(a, b); */
frama_c_files_v2/test_frama_c_365.c
#include <stdbool.h> /*@ requires N > 0; @ requires \valid(a+(0..N-1)); @ requires \forall integer i; @ 0 <= i < N ==> -1000000000 <= a[i] <= 1000000000; @ ensures \result <==> (\exists integer i, j; @ 0 <= i < j < N && a[i] + a[j] == X); @*/ bool sumx (int N, int a[], int X) { int i, j; /*@ loop invariant 0 <= i < N; @ loop invariant \forall integer ii, jj; @ 0 <= ii < jj < N && ii < i ==> a[ii] + a[jj] != X; @ loop assigns i, j; @ loop variant N-i-2; @*/ for (i=0; i<N-1; i++) /*@ loop invariant i+1 <= j <= N; @ loop invariant \forall integer ii, jj; @ 0 <= ii < jj < N && ii < i ==> a[ii] + a[jj] != X; @ loop invariant \forall integer jj; @ 0 <= i < jj < j ==> a[i] + a[jj] != X; @ loop assigns j; @ loop variant N-j; @*/ for (j=i+1; j<N; j++) if (a[i] + a[j] == X) return true; return false; }
#include <stdbool.h> /*@ requires N > 0; @ requires \valid(a+(0..N-1)); @ requires \forall integer i; @ 0 <= i < N ==> -1000000000 <= a[i] <= 1000000000; @ ensures \result <==> (\exists integer i, j; @ 0 <= i < j < N && a[i] + a[j] == X); @*/
bool sumx (int N, int a[], int X) { int i, j; /*@ loop invariant 0 <= i < N; @ loop invariant \forall integer ii, jj; @ 0 <= ii < jj < N && ii < i ==> a[ii] + a[jj] != X; @ loop assigns i, j; @ loop variant N-i-2; @*/ for (i=0; i<N-1; i++) /*@ loop invariant i+1 <= j <= N; @ loop invariant \forall integer ii, jj; @ 0 <= ii < jj < N && ii < i ==> a[ii] + a[jj] != X; @ loop invariant \forall integer jj; @ 0 <= i < jj < j ==> a[i] + a[jj] != X; @ loop assigns j; @ loop variant N-j; @*/ for (j=i+1; j<N; j++) if (a[i] + a[j] == X) return true; return false; }
true
27
27
bool sumx (int N, int a[], int X) { int i, j; /*@ loop invariant 0 <= i < N; @ loop invariant \forall integer ii, jj; @ 0 <= ii < jj < N && ii < i ==> a[ii] + a[jj] != X; @ loop assigns i, j; @ loop variant N-i-2; @*/ for (i=0; i<N-1; i++) /*@ loop invariant i+1 <= j <= N; @ loop invariant \forall integer ii, jj; @ 0 <= ii < jj < N && ii < i ==> a[ii] + a[jj] != X; @ loop invariant \forall integer jj; @ 0 <= i < jj < j ==> a[i] + a[jj] != X; @ loop assigns j; @ loop variant N-j; @*/ for (j=i+1; j<N; j++) if (a[i] + a[j] == X) return true; return false; }
#include <stdbool.h> /*@ requires N > 0; @ requires \valid(a+(0..N-1)); @ requires \forall integer i; @ 0 <= i < N ==> -1000000000 <= a[i] <= 1000000000; @ ensures \result <==> (\exists integer i, j; @ 0 <= i < j < N && a[i] + a[j] == X); @*/
frama_c_files_v2/test_frama_c_1194.c
#include <string.h> /*@ requires strlen(a)>=0 && \valid(a+(0..strlen(a))); assigns \nothing; ensures 0<=\result || \result==-1; */ int my_atoi(char* a) { int m = INT_MAX/10 - 10; int r = 0; char* s = a; /*@ loop invariant strlen(s)>=0 && \valid(s+(0..strlen(s))); loop invariant 0 <= r; loop assigns r, s; loop variant strlen(s); */ while ('0' <= *s && *s <= '9') { if (r > m) return -1; r = 10*r + (*s - '0'); s++; } return r; }
#include <string.h> /*@ requires strlen(a)>=0 && \valid(a+(0..strlen(a))); assigns \nothing; ensures 0<=\result || \result==-1; */
int my_atoi(char* a) { int m = INT_MAX/10 - 10; int r = 0; char* s = a; /*@ loop invariant strlen(s)>=0 && \valid(s+(0..strlen(s))); loop invariant 0 <= r; loop assigns r, s; loop variant strlen(s); */ while ('0' <= *s && *s <= '9') { if (r > m) return -1; r = 10*r + (*s - '0'); s++; } return r; }
true
21
21
int my_atoi(char* a) { int m = INT_MAX/10 - 10; int r = 0; char* s = a; /*@ loop invariant strlen(s)>=0 && \valid(s+(0..strlen(s))); loop invariant 0 <= r; loop assigns r, s; loop variant strlen(s); */ while ('0' <= *s && *s <= '9') { if (r > m) return -1; r = 10*r + (*s - '0'); s++; } return r; }
#include <string.h> /*@ requires strlen(a)>=0 && \valid(a+(0..strlen(a))); assigns \nothing; ensures 0<=\result || \result==-1; */
frama_c_files_v2/test_frama_c_1205.c
/*@ logic integer \fact(integer n) = (n <= 0) ? 1 : n * \fact(n-1); */ /*@ requires n >= 0 && n <= 10; ensures \result == \fact(n); assigns \nothing; */ int factorial(int n) { int i = 1; int f = 1; /*@ loop invariant 1 <= i <= n+1; loop invariant f == \fact(i-1); loop assigns f, i; loop variant n-i+1; */ while (i<=n) { f = f * i; i = i + 1; } return f; } /*@ assigns \nothing; */ int main(void) { int n = 5; int ret = factorial(n); return 0; }
/*@ logic integer \fact(integer n) = (n <= 0) ? 1 : n * \fact(n-1); */ /*@ requires n >= 0 && n <= 10; ensures \result == \fact(n); assigns \nothing; */
int factorial(int n) { int i = 1; int f = 1; /*@ loop invariant 1 <= i <= n+1; loop invariant f == \fact(i-1); loop assigns f, i; loop variant n-i+1; */ while (i<=n) { f = f * i; i = i + 1; } return f; }
true
14
14
int factorial(int n) { int i = 1; int f = 1; /*@ loop invariant 1 <= i <= n+1; loop invariant f == \fact(i-1); loop assigns f, i; loop variant n-i+1; */ while (i<=n) { f = f * i; i = i + 1; } return f; }
/*@ logic integer \fact(integer n) = (n <= 0) ? 1 : n * \fact(n-1); */ /*@ requires n >= 0 && n <= 10; ensures \result == \fact(n); assigns \nothing; */
frama_c_files_v2/test_frama_c_2766.c
/* Generated by Frama-C */ int global_i; int *global_i_ptr = & global_i; int global_i = 0; /*@ assigns \nothing; */ void loop(void) { return; } /*@ assigns \nothing; */ void __gen_e_acsl_loop(void) { loop(); return; } /*@ assigns global_i, global_i_ptr; */ int main(void) { int __retres; /* Initialize global variables */ global_i = 0; global_i_ptr = &global_i; __gen_e_acsl_loop(); __retres = 0; return __retres; }
/*@ assigns \nothing; */
void loop(void) { return; }
true
3
3
void loop(void) { return; }
/*@ assigns \nothing; */
frama_c_files_v2/test_frama_c_422.c
/*@ axiomatic ellipsoids_proof_tactics { @ type ellipsoids_tactics = Intuition | Tactic2; @ predicate use_strategy (ellipsoids_tactics t); @ } */ /*@ requires x < 0 && x > -1073741824; @ ensures \result == 2 * (x + 1); @ assigns \nothing; */ int plus_one (int x) { int y,z; { /*@ assert x + 1 <= 1073741823; */ y = x + 1; } { /*@ assert 2 * y <= 2147483647; */ z = 2 * y; } return z; }
/*@ axiomatic ellipsoids_proof_tactics { @ type ellipsoids_tactics = Intuition | Tactic2; @ predicate use_strategy (ellipsoids_tactics t); @ } */ /*@ requires x < 0 && x > -1073741824; @ ensures \result == 2 * (x + 1); @ assigns \nothing; */
int plus_one (int x) { int y,z; { /*@ assert x + 1 <= 1073741823; */ y = x + 1; } { /*@ assert 2 * y <= 2147483647; */ z = 2 * y; } return z; }
true
10
10
int plus_one (int x) { int y,z; { /*@ assert x + 1 <= 1073741823; */ y = x + 1; } { /*@ assert 2 * y <= 2147483647; */ z = 2 * y; } return z; }
/*@ axiomatic ellipsoids_proof_tactics { @ type ellipsoids_tactics = Intuition | Tactic2; @ predicate use_strategy (ellipsoids_tactics t); @ } */ /*@ requires x < 0 && x > -1073741824; @ ensures \result == 2 * (x + 1); @ assigns \nothing; */
frama_c_files_v2/test_frama_c_1547.c
/*@ @ requires n > 0; @ requires \valid_read(a+(0..n - 1)); @ requires \valid_read(b+(0..n - 1)); @ requires \valid(c+(0..n - 1)); @ requires \separated(a+(0..n-1), b+(0..n-1), c+(0..n-1)); @ requires \forall integer i; 0 <= i < n ==> -10000 <= a[i] <= 10000; @ requires \forall integer i; 0 <= i < n ==> -10000 <= b[i] <= 10000; @ ensures \forall integer i; 0 <= i < n ==> c[i] == a[i] + b[i]; @ assigns c[0..n-1]; */ void sum_array(int a[], int b[], int c[], int n) { /*@ @ loop invariant 0 <= i <= n; @ loop invariant \valid_read(a+(0..n - 1)); @ loop invariant \valid_read(b+(0..n - 1)); @ loop invariant \valid(c+(0..n - 1)); @ loop invariant \forall integer j; 0 <= j < i ==> c[j] == a[j] + b[j]; @ loop assigns i, c[0..n-1]; @ loop variant n - i; */ for (int i = 0; i < n; ++i) { c[i] = a[i] + b[i]; } }
/*@ @ requires n > 0; @ requires \valid_read(a+(0..n - 1)); @ requires \valid_read(b+(0..n - 1)); @ requires \valid(c+(0..n - 1)); @ requires \separated(a+(0..n-1), b+(0..n-1), c+(0..n-1)); @ requires \forall integer i; 0 <= i < n ==> -10000 <= a[i] <= 10000; @ requires \forall integer i; 0 <= i < n ==> -10000 <= b[i] <= 10000; @ ensures \forall integer i; 0 <= i < n ==> c[i] == a[i] + b[i]; @ assigns c[0..n-1]; */
void sum_array(int a[], int b[], int c[], int n) { /*@ @ loop invariant 0 <= i <= n; @ loop invariant \valid_read(a+(0..n - 1)); @ loop invariant \valid_read(b+(0..n - 1)); @ loop invariant \valid(c+(0..n - 1)); @ loop invariant \forall integer j; 0 <= j < i ==> c[j] == a[j] + b[j]; @ loop assigns i, c[0..n-1]; @ loop variant n - i; */ for (int i = 0; i < n; ++i) { c[i] = a[i] + b[i]; } }
true
25
25
void sum_array(int a[], int b[], int c[], int n) { /*@ @ loop invariant 0 <= i <= n; @ loop invariant \valid_read(a+(0..n - 1)); @ loop invariant \valid_read(b+(0..n - 1)); @ loop invariant \valid(c+(0..n - 1)); @ loop invariant \forall integer j; 0 <= j < i ==> c[j] == a[j] + b[j]; @ loop assigns i, c[0..n-1]; @ loop variant n - i; */ for (int i = 0; i < n; ++i) { c[i] = a[i] + b[i]; } }
/*@ @ requires n > 0; @ requires \valid_read(a+(0..n - 1)); @ requires \valid_read(b+(0..n - 1)); @ requires \valid(c+(0..n - 1)); @ requires \separated(a+(0..n-1), b+(0..n-1), c+(0..n-1)); @ requires \forall integer i; 0 <= i < n ==> -10000 <= a[i] <= 10000; @ requires \forall integer i; 0 <= i < n ==> -10000 <= b[i] <= 10000; @ ensures \forall integer i; 0 <= i < n ==> c[i] == a[i] + b[i]; @ assigns c[0..n-1]; */
frama_c_files_v2/test_frama_c_1212.c
/*@ requires \valid_read(p) && \valid_read(q); requires -10000000<*p<10000000 && -10000000<*q<10000000; ensures \result==*p+*q; assigns \nothing; */ int add(int*p,int*q){ return*p + *q ; } /*@ assigns \nothing; */ int main(){ int a =24,b =42,x ; x = add(&a, &b) ; x = add(&a, &a) ; }
/*@ requires \valid_read(p) && \valid_read(q); requires -10000000<*p<10000000 && -10000000<*q<10000000; ensures \result==*p+*q; assigns \nothing; */
int add(int*p,int*q){ return*p + *q ; }
true
8
8
int add(int*p,int*q){ return*p + *q ; }
/*@ requires \valid_read(p) && \valid_read(q); requires -10000000<*p<10000000 && -10000000<*q<10000000; ensures \result==*p+*q; assigns \nothing; */
frama_c_files_v2/test_frama_c_491.c
/*@ requires \valid(t+(0..n-1)) && n>0; ensures (\forall integer i; 0<=i<n ==> t[i] == 0) ==> \result == 1; ensures (\exists integer i; 0<=i<n && t[i] != 0) ==> \result == 0; */ int all_zeros(int t[], int n){ /*@ loop invariant 0<=i<=n; loop invariant \forall integer j; 0 <= j < i ==> t[j] == 0; loop assigns i; loop variant n-i; */ for(int i=0;i<n;i++){ if(t[i] != 0) return 0; } return 1; }
/*@ requires \valid(t+(0..n-1)) && n>0; ensures (\forall integer i; 0<=i<n ==> t[i] == 0) ==> \result == 1; ensures (\exists integer i; 0<=i<n && t[i] != 0) ==> \result == 0; */
int all_zeros(int t[], int n){ /*@ loop invariant 0<=i<=n; loop invariant \forall integer j; 0 <= j < i ==> t[j] == 0; loop assigns i; loop variant n-i; */ for(int i=0;i<n;i++){ if(t[i] != 0) return 0; } return 1; }
true
13
13
int all_zeros(int t[], int n){ /*@ loop invariant 0<=i<=n; loop invariant \forall integer j; 0 <= j < i ==> t[j] == 0; loop assigns i; loop variant n-i; */ for(int i=0;i<n;i++){ if(t[i] != 0) return 0; } return 1; }
/*@ requires \valid(t+(0..n-1)) && n>0; ensures (\forall integer i; 0<=i<n ==> t[i] == 0) ==> \result == 1; ensures (\exists integer i; 0<=i<n && t[i] != 0) ==> \result == 0; */
frama_c_files_v2/test_frama_c_764.c
/*@ requires x >= 0; ensures \result == x; assigns \nothing; */ int foo(int x) { return x; }
/*@ requires x >= 0; ensures \result == x; assigns \nothing; */
int foo(int x) { return x; }
true
4
4
int foo(int x) { return x; }
/*@ requires x >= 0; ensures \result == x; assigns \nothing; */
frama_c_files_v2/test_frama_c_88.c
/*@ requires n <= 2147483646; ensures \result == \old(n) + 1 ; assigns \nothing; */ int incr(int n) { return n+1; };
/*@ requires n <= 2147483646; ensures \result == \old(n) + 1 ; assigns \nothing; */
int incr(int n) { return n+1; }
true
5
5
int incr(int n) { return n+1; }
/*@ requires n <= 2147483646; ensures \result == \old(n) + 1 ; assigns \nothing; */
frama_c_files_v2/test_frama_c_2478.c
//@ predicate null(char *x) = x == 0; //@ predicate eq(char *x, char *y) = x == y; //@predicate my_null(char *x) = x == (void*)0; void f(char *x) { x = 0; //@ assert x == (void*)0; //@ assert my_null(x); //@ assert null(x); //@ assert eq(x,0); } //@ ensures \result == \true; int g() { return 1; } /*@ predicate foo (integer x) = x != 0; */ /*@ ensures foo(1); */ int h() { return 1; }
/*@ predicate foo (integer x) = x != 0; */ /*@ ensures foo(1); */
int h() { return 1; }
true
3
3
int h() { return 1; }
/*@ predicate foo (integer x) = x != 0; */ /*@ ensures foo(1); */
frama_c_files_v2/test_frama_c_738.c
/*@ requires size>0; requires \valid(t+(0..size-1)); requires \valid(s+(0..size-1)); requires \valid(r+(0..size-1)); requires \separated(t+(0..size-1), s+(0..size-1)); requires \separated(t+(0..size-1), r+(0..size-1)); requires \separated(s+(0..size-1), r+(0..size-1)); requires \forall integer i; 0 <= i < size ==> -10000 <= t[i] <= 10000; requires \forall integer i; 0 <= i < size ==> -10000 <= s[i] <= 10000; assigns r[0..size-1]; ensures \forall integer i; 0<=i<size ==> r[i]==t[i]+s[i]; behavior main_behavior: ensures \forall integer i; 0<=i<size ==> r[i]==t[i]+s[i]; complete behaviors main_behavior; disjoint behaviors main_behavior; */ void sum(int t[],int s[], int r[], int size) { /*@ loop invariant 0<=i<=size; loop invariant \forall integer j; 0<=j<i ==> r[j]==t[j]+s[j]; loop assigns i, r[0..size-1]; loop variant size-i; */ for(int i=0;i<size;i++) { r[i]=t[i]+s[i]; } }
/*@ requires size>0; requires \valid(t+(0..size-1)); requires \valid(s+(0..size-1)); requires \valid(r+(0..size-1)); requires \separated(t+(0..size-1), s+(0..size-1)); requires \separated(t+(0..size-1), r+(0..size-1)); requires \separated(s+(0..size-1), r+(0..size-1)); requires \forall integer i; 0 <= i < size ==> -10000 <= t[i] <= 10000; requires \forall integer i; 0 <= i < size ==> -10000 <= s[i] <= 10000; assigns r[0..size-1]; ensures \forall integer i; 0<=i<size ==> r[i]==t[i]+s[i]; behavior main_behavior: ensures \forall integer i; 0<=i<size ==> r[i]==t[i]+s[i]; complete behaviors main_behavior; disjoint behaviors main_behavior; */
void sum(int t[],int s[], int r[], int size) { /*@ loop invariant 0<=i<=size; loop invariant \forall integer j; 0<=j<i ==> r[j]==t[j]+s[j]; loop assigns i, r[0..size-1]; loop variant size-i; */ for(int i=0;i<size;i++) { r[i]=t[i]+s[i]; } }
true
22
22
void sum(int t[],int s[], int r[], int size) { /*@ loop invariant 0<=i<=size; loop invariant \forall integer j; 0<=j<i ==> r[j]==t[j]+s[j]; loop assigns i, r[0..size-1]; loop variant size-i; */ for(int i=0;i<size;i++) { r[i]=t[i]+s[i]; } }
/*@ requires size>0; requires \valid(t+(0..size-1)); requires \valid(s+(0..size-1)); requires \valid(r+(0..size-1)); requires \separated(t+(0..size-1), s+(0..size-1)); requires \separated(t+(0..size-1), r+(0..size-1)); requires \separated(s+(0..size-1), r+(0..size-1)); requires \forall integer i; 0 <= i < size ==> -10000 <= t[i] <= 10000; requires \forall integer i; 0 <= i < size ==> -10000 <= s[i] <= 10000; assigns r[0..size-1]; ensures \forall integer i; 0<=i<size ==> r[i]==t[i]+s[i]; behavior main_behavior: ensures \forall integer i; 0<=i<size ==> r[i]==t[i]+s[i]; complete behaviors main_behavior; disjoint behaviors main_behavior; */
frama_c_files_v2/test_frama_c_1862.c
#include <limits.h> #include <string.h> /*@ predicate submatcher_0(char * x22) = ((x22[0]=='\0') || (((x22[0]=='\0')) ? (0) : (((x22[0]=='a') && submatcher_0((x22+1))))));*/ /*@ requires ((strlen(x22)>=0) && \valid_read(x22+(0..strlen(x22)))); decreases strlen(x22); assigns \nothing; ensures \result <==> submatcher_0(x22); */ int submatcher_0(char * x22) { char x24 = x22[0]; int x25 = x24 == '\0'; int x32; if (x25) { x32 = 0/*false*/; } else { int x26 = x24 == 'a'; int x30; if (x26) { char *x27 = x22+1; int x28 = submatcher_0(x27); x30 = x28; } else { x30 = 0/*false*/; } x32 = x30; } int x33 = x25 || x32; return x33; } /*@ predicate matcher_star_a(char * x0) = ((x0[0]=='\0') || (((x0[0]=='\0')) ? (0) : (((x0[0]=='a') && submatcher_0((x0+1))))));*/ /*@ requires ((strlen(x0)>=0) && \valid_read(x0+(0..strlen(x0)))); decreases strlen(x0); assigns \nothing; ensures \result <==> matcher_star_a(x0); */ int matcher_star_a(char * x0) { char x2 = x0[0]; int x3 = x2 == '\0'; int x10; if (x3) { x10 = 0/*false*/; } else { int x4 = x2 == 'a'; int x8; if (x4) { char *x5 = x0+1; int x6 = submatcher_0(x5); x8 = x6; } else { x8 = 0/*false*/; } x10 = x8; } int x11 = x3 || x10; return x11; }
#include <limits.h> #include <string.h> /*@ predicate submatcher_0(char * x22) = ((x22[0]=='\0') || (((x22[0]=='\0')) ? (0) : (((x22[0]=='a') && submatcher_0((x22+1))))));*/ /*@ requires ((strlen(x22)>=0) && \valid_read(x22+(0..strlen(x22)))); decreases strlen(x22); assigns \nothing; ensures \result <==> submatcher_0(x22); */
int submatcher_0(char * x22) { char x24 = x22[0]; int x25 = x24 == '\0'; int x32; if (x25) { x32 = 0/*false*/; } else { int x26 = x24 == 'a'; int x30; if (x26) { char *x27 = x22+1; int x28 = submatcher_0(x27); x30 = x28; } else { x30 = 0/*false*/; } x32 = x30; } int x33 = x25 || x32; return x33; }
true
16
16
int submatcher_0(char * x22) { char x24 = x22[0]; int x25 = x24 == '\0'; int x32; if (x25) { x32 = 0/*false*/; } else { int x26 = x24 == 'a'; int x30; if (x26) { char *x27 = x22+1; int x28 = submatcher_0(x27); x30 = x28; } else { x30 = 0/*false*/; } x32 = x30; } int x33 = x25 || x32; return x33; }
#include <limits.h> #include <string.h> /*@ predicate submatcher_0(char * x22) = ((x22[0]=='\0') || (((x22[0]=='\0')) ? (0) : (((x22[0]=='a') && submatcher_0((x22+1))))));*/ /*@ requires ((strlen(x22)>=0) && \valid_read(x22+(0..strlen(x22)))); decreases strlen(x22); assigns \nothing; ensures \result <==> submatcher_0(x22); */
frama_c_files_v2/test_frama_c_2779.c
#include<limits.h> /*@ requires 0 < length <= INT_MAX && \valid_read(arr+(0..length-1)); requires \forall integer i,j; 0 <= i < j < length ==> arr[i] <= arr[j]; assigns \nothing; ensures -1 <= \result < length && (\result == -1 ==> (\forall integer i; 0 <= i < length ==> arr[i] != query)) && (\result >= 0 ==> arr[\result] == query) ; */ int binary_search(int* arr, int length, int query) { int low = 0; int high = length - 1; /*@ loop invariant 0 <= low <= high+1 <= length; loop invariant \forall integer i; 0 <= i < low ==> arr[i] < query; loop invariant \forall integer i; high < i < length ==> arr[i] > query; loop assigns low, high; loop variant high - low; */ while (low <= high) { int mean = low + (high -low) / 2; //@ assert low <= mean <= high; if (arr[mean] == query) return mean; if (arr[mean] < query) low = mean + 1; else high = mean - 1; } return -1; }
#include<limits.h> /*@ requires 0 < length <= INT_MAX && \valid_read(arr+(0..length-1)); requires \forall integer i,j; 0 <= i < j < length ==> arr[i] <= arr[j]; assigns \nothing; ensures -1 <= \result < length && (\result == -1 ==> (\forall integer i; 0 <= i < length ==> arr[i] != query)) && (\result >= 0 ==> arr[\result] == query) ; */
int binary_search(int* arr, int length, int query) { int low = 0; int high = length - 1; /*@ loop invariant 0 <= low <= high+1 <= length; loop invariant \forall integer i; 0 <= i < low ==> arr[i] < query; loop invariant \forall integer i; high < i < length ==> arr[i] > query; loop assigns low, high; loop variant high - low; */ while (low <= high) { int mean = low + (high -low) / 2; //@ assert low <= mean <= high; if (arr[mean] == query) return mean; if (arr[mean] < query) low = mean + 1; else high = mean - 1; } return -1; }
true
25
25
int binary_search(int* arr, int length, int query) { int low = 0; int high = length - 1; /*@ loop invariant 0 <= low <= high+1 <= length; loop invariant \forall integer i; 0 <= i < low ==> arr[i] < query; loop invariant \forall integer i; high < i < length ==> arr[i] > query; loop assigns low, high; loop variant high - low; */ while (low <= high) { int mean = low + (high -low) / 2; //@ assert low <= mean <= high; if (arr[mean] == query) return mean; if (arr[mean] < query) low = mean + 1; else high = mean - 1; } return -1; }
#include<limits.h> /*@ requires 0 < length <= INT_MAX && \valid_read(arr+(0..length-1)); requires \forall integer i,j; 0 <= i < j < length ==> arr[i] <= arr[j]; assigns \nothing; ensures -1 <= \result < length && (\result == -1 ==> (\forall integer i; 0 <= i < length ==> arr[i] != query)) && (\result >= 0 ==> arr[\result] == query) ; */
frama_c_files_v2/test_frama_c_2936.c
/* This file is part of CPAchecker, // a tool for configurable software verification: // https://cpachecker.sosy-lab.org // // SPDX-FileCopyrightText: 2007-2020 Dirk Beyer <https://www.sosy-lab.org> // // SPDX-License-Identifier: Apache-2.0 */ /*@ requires x > -2147483648; assigns \nothing; ensures \result >= 0; behavior positive: assumes x >= 0; ensures \result == x; behavior negative: assumes x < 0; ensures x != -2147483648 ==> \result == -x; complete behaviors positive, negative; disjoint behaviors positive, negative; */ int abs(int x) { if (x < 0) { return -x; } return x; }
/*@ requires x > -2147483648; assigns \nothing; ensures \result >= 0; behavior positive: assumes x >= 0; ensures \result == x; behavior negative: assumes x < 0; ensures x != -2147483648 ==> \result == -x; complete behaviors positive, negative; disjoint behaviors positive, negative; */
int abs(int x) { if (x < 0) { return -x; } return x; }
true
10
10
int abs(int x) { if (x < 0) { return -x; } return x; }
/*@ requires x > -2147483648; assigns \nothing; ensures \result >= 0; behavior positive: assumes x >= 0; ensures \result == x; behavior negative: assumes x < 0; ensures x != -2147483648 ==> \result == -x; complete behaviors positive, negative; disjoint behaviors positive, negative; */
frama_c_files_v2/test_frama_c_2105.c
/*@ requires n>0 && \valid(a+(0..n-1)); @ assigns \nothing; @ behavior success: @ assumes \forall integer i; 0<=i<n-1 ==> a[i]<=a[i+1]; @ ensures \result==1; @ behavior failure: @ assumes \exists integer i; 0<=i<n-1 && a[i]>a[i+1]; @ ensures \result==0; @ complete behaviors success, failure; @ disjoint behaviors success, failure; */ int isIncreasing(int a[], int n){ /*@ loop invariant 0<=i<=n; loop invariant \forall integer j; 0<=j<i ==> a[j]<=a[j+1]; loop assigns i; loop variant n-i; */ for(int i=0;i<n-1;i++){ if(a[i]>a[i+1]) return 0; } return 1; }
/*@ requires n>0 && \valid(a+(0..n-1)); @ assigns \nothing; @ behavior success: @ assumes \forall integer i; 0<=i<n-1 ==> a[i]<=a[i+1]; @ ensures \result==1; @ behavior failure: @ assumes \exists integer i; 0<=i<n-1 && a[i]>a[i+1]; @ ensures \result==0; @ complete behaviors success, failure; @ disjoint behaviors success, failure; */
int isIncreasing(int a[], int n){ /*@ loop invariant 0<=i<=n; loop invariant \forall integer j; 0<=j<i ==> a[j]<=a[j+1]; loop assigns i; loop variant n-i; */ for(int i=0;i<n-1;i++){ if(a[i]>a[i+1]) return 0; } return 1; }
true
21
21
int isIncreasing(int a[], int n){ /*@ loop invariant 0<=i<=n; loop invariant \forall integer j; 0<=j<i ==> a[j]<=a[j+1]; loop assigns i; loop variant n-i; */ for(int i=0;i<n-1;i++){ if(a[i]>a[i+1]) return 0; } return 1; }
/*@ requires n>0 && \valid(a+(0..n-1)); @ assigns \nothing; @ behavior success: @ assumes \forall integer i; 0<=i<n-1 ==> a[i]<=a[i+1]; @ ensures \result==1; @ behavior failure: @ assumes \exists integer i; 0<=i<n-1 && a[i]>a[i+1]; @ ensures \result==0; @ complete behaviors success, failure; @ disjoint behaviors success, failure; */
frama_c_files_v2/test_frama_c_375.c
/*@ requires c > 0; ensures \result == c; assigns \nothing; */ int loop(int c) { int x = c; int y = 0; /*@ loop invariant c == x + y && x >= 0 ; loop assigns x, y; loop variant x; */ while(x > 0) { x = x - 1; y = y + 1; } return y; } /*@ assigns \nothing; */ int main() { int result = loop(6); return 0; }
/*@ requires c > 0; ensures \result == c; assigns \nothing; */
int loop(int c) { int x = c; int y = 0; /*@ loop invariant c == x + y && x >= 0 ; loop assigns x, y; loop variant x; */ while(x > 0) { x = x - 1; y = y + 1; } return y; }
true
11
11
int loop(int c) { int x = c; int y = 0; /*@ loop invariant c == x + y && x >= 0 ; loop assigns x, y; loop variant x; */ while(x > 0) { x = x - 1; y = y + 1; } return y; }
/*@ requires c > 0; ensures \result == c; assigns \nothing; */
frama_c_files_v2/test_frama_c_2149.c
/*@ assigns \nothing; */ void inconditional_exit(int state) { exit (state); }
/*@ assigns \nothing; */
void inconditional_exit(int state) { exit (state); }
true
4
4
void inconditional_exit(int state) { exit (state); }
/*@ assigns \nothing; */
frama_c_files_v2/test_frama_c_1078.c
/*@ requires n > 0; requires \valid_read(a + (0..n-1)); ensures \forall integer j; 0 <= j < n ==> \result >= a[j]; assigns \nothing; */ int Max_element(int a[], int n) { int max = a[0]; int i = 0; /*@ loop invariant \forall integer j; 0 <= j < i ==> max >= a[j]; loop invariant 1 <= i <= n; loop assigns i, max; loop variant n - i; */ for (int i = 1; i < n; i++) { if (a[i] > max) { max = a[i]; } } return max; }
/*@ requires n > 0; requires \valid_read(a + (0..n-1)); ensures \forall integer j; 0 <= j < n ==> \result >= a[j]; assigns \nothing; */
int Max_element(int a[], int n) { int max = a[0]; int i = 0; /*@ loop invariant \forall integer j; 0 <= j < i ==> max >= a[j]; loop invariant 1 <= i <= n; loop assigns i, max; loop variant n - i; */ for (int i = 1; i < n; i++) { if (a[i] > max) { max = a[i]; } } return max; }
true
15
15
int Max_element(int a[], int n) { int max = a[0]; int i = 0; /*@ loop invariant \forall integer j; 0 <= j < i ==> max >= a[j]; loop invariant 1 <= i <= n; loop assigns i, max; loop variant n - i; */ for (int i = 1; i < n; i++) { if (a[i] > max) { max = a[i]; } } return max; }
/*@ requires n > 0; requires \valid_read(a + (0..n-1)); ensures \forall integer j; 0 <= j < n ==> \result >= a[j]; assigns \nothing; */
frama_c_files_v2/test_frama_c_2263.c
/*@ requires n > 0; requires \valid(a + (0..n-1)); ensures \forall integer k; (0<=k<n) && (k%2==0) ==> (a[k] == 0); assigns a[0..n-1]; */ void func(int *a, int n) { /*@ loop invariant 0 <= i <= n; loop invariant \forall integer k; (0 <= k < i) && (k%2==0) ==> a[k] == 0; loop invariant \valid(a + (0..n-1)); loop assigns i, a[0..n-1]; loop variant n-i; */ for (int i = 0; i < n; i++) { if (i%2==0) a[i] = 0; } }
/*@ requires n > 0; requires \valid(a + (0..n-1)); ensures \forall integer k; (0<=k<n) && (k%2==0) ==> (a[k] == 0); assigns a[0..n-1]; */
void func(int *a, int n) { /*@ loop invariant 0 <= i <= n; loop invariant \forall integer k; (0 <= k < i) && (k%2==0) ==> a[k] == 0; loop invariant \valid(a + (0..n-1)); loop assigns i, a[0..n-1]; loop variant n-i; */ for (int i = 0; i < n; i++) { if (i%2==0) a[i] = 0; } }
true
17
17
void func(int *a, int n) { /*@ loop invariant 0 <= i <= n; loop invariant \forall integer k; (0 <= k < i) && (k%2==0) ==> a[k] == 0; loop invariant \valid(a + (0..n-1)); loop assigns i, a[0..n-1]; loop variant n-i; */ for (int i = 0; i < n; i++) { if (i%2==0) a[i] = 0; } }
/*@ requires n > 0; requires \valid(a + (0..n-1)); ensures \forall integer k; (0<=k<n) && (k%2==0) ==> (a[k] == 0); assigns a[0..n-1]; */
frama_c_files_v2/test_frama_c_33.c
/*@ @ requires -10000 <= x <= 10000; @ requires 0 <= y <= 10000; @ @ ensures \result == x * y; @ assigns \nothing; */ int mult(int x, int y) { int res = 0; /*@ @ loop invariant 0 <= i <= y; @ loop invariant res == i * x; @ loop assigns res, i; @ loop variant y - i; */ for (int i = 0; i < y; ++i) { res += x; } return res; }
/*@ @ requires -10000 <= x <= 10000; @ requires 0 <= y <= 10000; @ @ ensures \result == x * y; @ assigns \nothing; */
int mult(int x, int y) { int res = 0; /*@ @ loop invariant 0 <= i <= y; @ loop invariant res == i * x; @ loop assigns res, i; @ loop variant y - i; */ for (int i = 0; i < y; ++i) { res += x; } return res; }
true
14
14
int mult(int x, int y) { int res = 0; /*@ @ loop invariant 0 <= i <= y; @ loop invariant res == i * x; @ loop assigns res, i; @ loop variant y - i; */ for (int i = 0; i < y; ++i) { res += x; } return res; }
/*@ @ requires -10000 <= x <= 10000; @ requires 0 <= y <= 10000; @ @ ensures \result == x * y; @ assigns \nothing; */
frama_c_files_v2/test_frama_c_1393.c
/* run.config EXECNOW: make -s @PTEST_DIR@/@[email protected] OPT: -load-module @PTEST_DIR@/@[email protected] */ /*@ requires x <= 0; ensures \result == x; assigns \nothing; */ int f(int x) { //@ assert x<=0; int y = x; /*@ assert y <= 0 && x == y; */ return y; } struct inner { int a, b; char c; void *p; }; struct outer { struct inner *pinner; struct inner inner; int a; struct inner ainner[5]; int b; char c; long long l; }; int main (void) { struct inner inner; struct outer outer; outer.inner.a = 0; /*@ assert outer.inner.a == 0; */ return 0; }
/*@ requires x <= 0; ensures \result == x; assigns \nothing; */
int f(int x) { //@ assert x<=0; int y = x; /*@ assert y <= 0 && x == y; */ return y; }
true
6
6
int f(int x) { //@ assert x<=0; int y = x; /*@ assert y <= 0 && x == y; */ return y; }
/*@ requires x <= 0; ensures \result == x; assigns \nothing; */
frama_c_files_v2/test_frama_c_1123.c
/*@ axiomatic Count { logic integer count{L}(int *a, integer m, integer n, integer p); axiom count_base: \forall int *a, integer m, integer n, integer p; m >= n ==> count(a, m, n, p) == 0; axiom count_split: \forall int *a, integer m, integer n, integer k, integer p; m <= n <= k ==> count(a, m, k, p) == count(a, m, n, p) + count(a, n, k, p); axiom count_one: \forall int *a, integer m, integer p; count(a, m, m + 1, p) == (a[m] == p ? 1 : 0); } axiomatic Ordered { predicate ordered{L}(int *a, integer m, integer n); axiom ordered_base: \forall int *a, integer m, integer n; m >= n ==> ordered(a, m, n); axiom ordered_split: \forall int *a, integer m, integer k, integer n; m <= n <= k ==> ordered(a, m, k) <==> ordered(a, m, n) && ordered(a, n, k); axiom ordered_two: \forall int *a, integer m, integer n; m < n ==> ordered(a, m, n) <==> a[m] <= a[n-1]; } predicate minimum(int *a, integer m, integer n, integer k) = \forall integer i; m <= i < n ==> a[k] <= a[i]; */ /*@ requires n >= 0; requires \valid(a + (0 .. n-1)); ensures ordered(a, 0, n); ensures \forall integer p; count{Here}(a, 0, n, p) == count{Pre}(a, 0, n, p); assigns a[0 .. n-1]; */ void sort(int *a, int n) { /*@ loop invariant ordered(a, 0, i); loop invariant 0 <= i <= n; loop assigns i, a[0 .. n-1]; loop variant n - i; */ for (int i = 0; i < n; ++i) { int min_pos = i; /*@ loop invariant minimum(a, i, j, min_pos); loop invariant i <= min_pos < n; loop invariant i <= j <= n; loop assigns j, min_pos; loop variant n - j; */ for (int j = i + 1; j < n; ++j) { if (a[j] < a[min_pos]) { min_pos = j; } } if (min_pos != i) { int tmp = a[min_pos]; a[min_pos] = a[i]; a[i] = tmp; } } }
/*@ axiomatic Count { logic integer count{L}(int *a, integer m, integer n, integer p); axiom count_base: \forall int *a, integer m, integer n, integer p; m >= n ==> count(a, m, n, p) == 0; axiom count_split: \forall int *a, integer m, integer n, integer k, integer p; m <= n <= k ==> count(a, m, k, p) == count(a, m, n, p) + count(a, n, k, p); axiom count_one: \forall int *a, integer m, integer p; count(a, m, m + 1, p) == (a[m] == p ? 1 : 0); } axiomatic Ordered { predicate ordered{L}(int *a, integer m, integer n); axiom ordered_base: \forall int *a, integer m, integer n; m >= n ==> ordered(a, m, n); axiom ordered_split: \forall int *a, integer m, integer k, integer n; m <= n <= k ==> ordered(a, m, k) <==> ordered(a, m, n) && ordered(a, n, k); axiom ordered_two: \forall int *a, integer m, integer n; m < n ==> ordered(a, m, n) <==> a[m] <= a[n-1]; } predicate minimum(int *a, integer m, integer n, integer k) = \forall integer i; m <= i < n ==> a[k] <= a[i]; */ /*@ requires n >= 0; requires \valid(a + (0 .. n-1)); ensures ordered(a, 0, n); ensures \forall integer p; count{Here}(a, 0, n, p) == count{Pre}(a, 0, n, p); assigns a[0 .. n-1]; */
void sort(int *a, int n) { /*@ loop invariant ordered(a, 0, i); loop invariant 0 <= i <= n; loop assigns i, a[0 .. n-1]; loop variant n - i; */ for (int i = 0; i < n; ++i) { int min_pos = i; /*@ loop invariant minimum(a, i, j, min_pos); loop invariant i <= min_pos < n; loop invariant i <= j <= n; loop assigns j, min_pos; loop variant n - j; */ for (int j = i + 1; j < n; ++j) { if (a[j] < a[min_pos]) { min_pos = j; } } if (min_pos != i) { int tmp = a[min_pos]; a[min_pos] = a[i]; a[i] = tmp; } } }
true
34
34
void sort(int *a, int n) { /*@ loop invariant ordered(a, 0, i); loop invariant 0 <= i <= n; loop assigns i, a[0 .. n-1]; loop variant n - i; */ for (int i = 0; i < n; ++i) { int min_pos = i; /*@ loop invariant minimum(a, i, j, min_pos); loop invariant i <= min_pos < n; loop invariant i <= j <= n; loop assigns j, min_pos; loop variant n - j; */ for (int j = i + 1; j < n; ++j) { if (a[j] < a[min_pos]) { min_pos = j; } } if (min_pos != i) { int tmp = a[min_pos]; a[min_pos] = a[i]; a[i] = tmp; } } }
/*@ axiomatic Count { logic integer count{L}(int *a, integer m, integer n, integer p); axiom count_base: \forall int *a, integer m, integer n, integer p; m >= n ==> count(a, m, n, p) == 0; axiom count_split: \forall int *a, integer m, integer n, integer k, integer p; m <= n <= k ==> count(a, m, k, p) == count(a, m, n, p) + count(a, n, k, p); axiom count_one: \forall int *a, integer m, integer p; count(a, m, m + 1, p) == (a[m] == p ? 1 : 0); } axiomatic Ordered { predicate ordered{L}(int *a, integer m, integer n); axiom ordered_base: \forall int *a, integer m, integer n; m >= n ==> ordered(a, m, n); axiom ordered_split: \forall int *a, integer m, integer k, integer n; m <= n <= k ==> ordered(a, m, k) <==> ordered(a, m, n) && ordered(a, n, k); axiom ordered_two: \forall int *a, integer m, integer n; m < n ==> ordered(a, m, n) <==> a[m] <= a[n-1]; } predicate minimum(int *a, integer m, integer n, integer k) = \forall integer i; m <= i < n ==> a[k] <= a[i]; */ /*@ requires n >= 0; requires \valid(a + (0 .. n-1)); ensures ordered(a, 0, n); ensures \forall integer p; count{Here}(a, 0, n, p) == count{Pre}(a, 0, n, p); assigns a[0 .. n-1]; */
frama_c_files_v2/test_frama_c_1986.c
/*@ axiomatic A { } */ /*@ assigns \nothing; */ int main() { return 0; } /*@ assigns \nothing; */ void f() { int x = 0; } /*@ assigns \nothing; */ void g(char*s);
/*@ axiomatic A { } */ /*@ assigns \nothing; */ int main() { return 0; } /*@ assigns \nothing; */
void f() { int x = 0; }
true
6
6
void f() { int x = 0; }
/*@ axiomatic A { } */ /*@ assigns \nothing; */ int main() { return 0; } /*@ assigns \nothing; */
frama_c_files_v2/test_frama_c_1726.c
#include <limits.h> /* run.config EXECNOW: make -s tests/aorai/Aorai_test.cmxs OPT: -aorai-automata tests/aorai/test_acces_params.ya -aorai-test 1 -load-module tests/aorai/Aorai_test.cmxs -aorai-test-number @PTEST_NUMBER@ */ int status=0; int rr=1; //@ global invariant inv : 0<=rr<=5000; /*@ requires rr<5000 && i >= INT_MIN - j && i <= INT_MAX - j; @ assigns rr; @ ensures rr == i + j; @*/ void opa(int i, int j) { rr=i+j; } /*@ assigns status, \result; @ ensures \result == 3; */ int opb () { status=1; return status*3; } /*@ assigns rr, status; */ int main(){ //@ assert rr < 5000; if (rr<5000) opa(rr,300); rr=opb(); return 0; }
#include <limits.h> int rr=1; /*@ requires rr<5000 && i >= INT_MIN - j && i <= INT_MAX - j; @ assigns rr; @ ensures rr == i + j; @*/
void opa(int i, int j) { rr=i+j; }
true
6
6
void opa(int i, int j) { rr=i+j; }
#include <limits.h> int rr=1; /*@ requires rr<5000 && i >= INT_MIN - j && i <= INT_MAX - j; @ assigns rr; @ ensures rr == i + j; @*/
frama_c_files_v2/test_frama_c_2942.c
#include <limits.h> int e; /*@ requires INT_MIN / 4 <= x <= INT_MAX / 4; ensures \result == 4 * x && e == 4 * x; assigns e; */ int f(int x) { int y = 4 * x; e = y; return y; } int main() { f(42); return 0; }
#include <limits.h> int e; /*@ requires INT_MIN / 4 <= x <= INT_MAX / 4; ensures \result == 4 * x && e == 4 * x; assigns e; */
int f(int x) { int y = 4 * x; e = y; return y; }
true
6
6
int f(int x) { int y = 4 * x; e = y; return y; }
#include <limits.h> int e; /*@ requires INT_MIN / 4 <= x <= INT_MAX / 4; ensures \result == 4 * x && e == 4 * x; assigns e; */
frama_c_files_v2/test_frama_c_496.c
/*@ requires -1000 <= n <= 1000; // Add a reasonable input range decreases n > 100 ? 1 : 102 - n; assigns \nothing; ensures ((n <= 100) ==> (\result == 91)); ensures ((n > 100) ==> (\result == (n-10))); */ int foo(int n) { if (n > 100) { return n - 10; } else { return foo(foo(n + 11)); } }
/*@ requires -1000 <= n <= 1000; // Add a reasonable input range decreases n > 100 ? 1 : 102 - n; assigns \nothing; ensures ((n <= 100) ==> (\result == 91)); ensures ((n > 100) ==> (\result == (n-10))); */
int foo(int n) { if (n > 100) { return n - 10; } else { return foo(foo(n + 11)); } }
true
17
17
int foo(int n) { if (n > 100) { return n - 10; } else { return foo(foo(n + 11)); } }
/*@ requires -1000 <= n <= 1000; // Add a reasonable input range decreases n > 100 ? 1 : 102 - n; assigns \nothing; ensures ((n <= 100) ==> (\result == 91)); ensures ((n > 100) ==> (\result == (n-10))); */
frama_c_files_v2/test_frama_c_492.c
/*@ requires \valid(a) && \valid(b); @ ensures A: *a == \old(*b); @ ensures B: *b == \old(*a); @ assigns *a, *b; @*/ void swap(int* a,int* b) { int temp = *a; *a = *b; *b = temp; }
/*@ requires \valid(a) && \valid(b); @ ensures A: *a == \old(*b); @ ensures B: *b == \old(*a); @ assigns *a, *b; @*/
void swap(int* a,int* b) { int temp = *a; *a = *b; *b = temp; }
true
10
10
void swap(int* a,int* b) { int temp = *a; *a = *b; *b = temp; }
/*@ requires \valid(a) && \valid(b); @ ensures A: *a == \old(*b); @ ensures B: *b == \old(*a); @ assigns *a, *b; @*/
frama_c_files_v2/test_frama_c_1799.c
/*@ requires n > 0; requires \valid(arr+(0..n-1)); ensures \forall integer i; 0 <= i < n ==> arr[i] == 0; */ void arrayreset(int arr[], int n) { /*@ loop invariant 0 <= j <= n; loop invariant \forall integer i; 0 <= i < j ==> arr[i] == 0; loop assigns j, arr[0..n-1]; loop variant n - j; */ for (int j=0; j<n; j++) { arr[j]=0; } }
/*@ requires n > 0; requires \valid(arr+(0..n-1)); ensures \forall integer i; 0 <= i < n ==> arr[i] == 0; */
void arrayreset(int arr[], int n) { /*@ loop invariant 0 <= j <= n; loop invariant \forall integer i; 0 <= i < j ==> arr[i] == 0; loop assigns j, arr[0..n-1]; loop variant n - j; */ for (int j=0; j<n; j++) { arr[j]=0; } }
true
14
14
void arrayreset(int arr[], int n) { /*@ loop invariant 0 <= j <= n; loop invariant \forall integer i; 0 <= i < j ==> arr[i] == 0; loop assigns j, arr[0..n-1]; loop variant n - j; */ for (int j=0; j<n; j++) { arr[j]=0; } }
/*@ requires n > 0; requires \valid(arr+(0..n-1)); ensures \forall integer i; 0 <= i < n ==> arr[i] == 0; */
frama_c_files_v2/test_frama_c_2570.c
// In some versions of Frama-C, an additional option -pp-annot should be used to parse this example #include <limits.h> /*@ requires (*b >= 0 && *a <= INT_MAX - *b); requires (*b < 0 && *a >= INT_MIN - *b); requires \valid(a) && \valid(a); assigns *a; ensures *a == \old(*a) + *b; */ void incr_a_by_b(int* a, int const* b){ *a += *b; }
#include <limits.h> /*@ requires (*b >= 0 && *a <= INT_MAX - *b); requires (*b < 0 && *a >= INT_MIN - *b); requires \valid(a) && \valid(a); assigns *a; ensures *a == \old(*a) + *b; */
void incr_a_by_b(int* a, int const* b){ *a += *b; }
true
9
9
void incr_a_by_b(int* a, int const* b){ *a += *b; }
#include <limits.h> /*@ requires (*b >= 0 && *a <= INT_MAX - *b); requires (*b < 0 && *a >= INT_MIN - *b); requires \valid(a) && \valid(a); assigns *a; ensures *a == \old(*a) + *b; */
frama_c_files_v2/test_frama_c_1758.c
/*@ requires \valid(a+(0..length-1)); @ requires length > 0; @ ensures \forall integer j; 0 <= j < length ==> a[\result] <= a[j]; @ assigns \nothing; */ int find_min(int* a, int length) { int min, min_idx; min_idx = 0; min = a[0]; /*@ loop invariant 1 <= i <= length; @ loop invariant 0 <= min_idx < length; @ loop invariant min == a[min_idx]; @ loop invariant \forall integer j; 0 <= j < i ==> min <= a[j]; @ loop assigns i, min_idx, min; @ loop variant length - i; */ for (int i = 1; i < length; i++) { if (a[i] < min) { min_idx = i; min = a[i]; } } /*@ assert \forall integer k; 0 <= k < length ==> a[min_idx] <= a[k]; */ return min_idx; }
/*@ requires \valid(a+(0..length-1)); @ requires length > 0; @ ensures \forall integer j; 0 <= j < length ==> a[\result] <= a[j]; @ assigns \nothing; */
int find_min(int* a, int length) { int min, min_idx; min_idx = 0; min = a[0]; /*@ loop invariant 1 <= i <= length; @ loop invariant 0 <= min_idx < length; @ loop invariant min == a[min_idx]; @ loop invariant \forall integer j; 0 <= j < i ==> min <= a[j]; @ loop assigns i, min_idx, min; @ loop variant length - i; */ for (int i = 1; i < length; i++) { if (a[i] < min) { min_idx = i; min = a[i]; } } /*@ assert \forall integer k; 0 <= k < length ==> a[min_idx] <= a[k]; */ return min_idx; }
true
22
22
int find_min(int* a, int length) { int min, min_idx; min_idx = 0; min = a[0]; /*@ loop invariant 1 <= i <= length; @ loop invariant 0 <= min_idx < length; @ loop invariant min == a[min_idx]; @ loop invariant \forall integer j; 0 <= j < i ==> min <= a[j]; @ loop assigns i, min_idx, min; @ loop variant length - i; */ for (int i = 1; i < length; i++) { if (a[i] < min) { min_idx = i; min = a[i]; } } /*@ assert \forall integer k; 0 <= k < length ==> a[min_idx] <= a[k]; */ return min_idx; }
/*@ requires \valid(a+(0..length-1)); @ requires length > 0; @ ensures \forall integer j; 0 <= j < length ==> a[\result] <= a[j]; @ assigns \nothing; */
frama_c_files_v2/test_frama_c_1670.c
/* run.config OPT: -load-module lib/plugins/Report -rte -rte-precond -then -val -then -report -report-print-properties OPT: -load-module lib/plugins/Report -val -then -rte -rte-precond -then -report -report-print-properties */ // Fuse with precond.c when bts #1208 is solved int x = 0; /*@ requires i >= -1; assigns x; ensures x == i; */ void f (int i) { x = i; } /*@ requires x <= 8; assigns x; ensures x == \old(x) + 1 || x == \old(x); */ void g(); void g() { if (x < 8) { x++; } } /*@ requires -1 <= 8; // Ensure x <= 8 after the calls to f in the if(c) blocks. requires x <= 8; assigns x; */ void main (int c) { if (c) { f(1); if(c) f(-1); } //@ assert x <= 8; g (); //@ assert x <= 8; g (); }
int x = 0; /*@ requires i >= -1; assigns x; ensures x == i; */
void f (int i) { x = i; }
true
4
4
void f (int i) { x = i; }
int x = 0; /*@ requires i >= -1; assigns x; ensures x == i; */
frama_c_files_v2/test_frama_c_2047.c
/* run.config EXECNOW: make tests/aorai/Aorai_test.cmxs OPT: -aorai-ltl tests/aorai/test_boucle.ltl -aorai-test 1 -aorai-acceptance -load-module tests/aorai/Aorai_test.cmxs -aorai-test-number @PTEST_NUMBER@ */ /*@ requires \true; @ ensures 0<=\result<=1; @ assigns \nothing; */ int a() { return 1; } /*@ requires \true; @ ensures 1<=\result<=2; @ assigns \nothing; */ int b() { //call_to_an_undefined_function(); return 2; } /*@ requires \true; @ ensures 0<=\result<=1; @ assigns \nothing; */ int main(){ int x=a(); /*@ loop invariant 0<=x<=12; loop assigns x; loop variant 10-x; */ while (x<10) { x+=b(); } return a(); }
/*@ requires \true; @ ensures 0<=\result<=1; @ assigns \nothing; */
int a() { return 1; }
true
4
4
int a() { return 1; }
/*@ requires \true; @ ensures 0<=\result<=1; @ assigns \nothing; */
frama_c_files_v2/test_frama_c_2047.c
/* run.config EXECNOW: make tests/aorai/Aorai_test.cmxs OPT: -aorai-ltl tests/aorai/test_boucle.ltl -aorai-test 1 -aorai-acceptance -load-module tests/aorai/Aorai_test.cmxs -aorai-test-number @PTEST_NUMBER@ */ /*@ requires \true; @ ensures 0<=\result<=1; @ assigns \nothing; */ int a() { return 1; } /*@ requires \true; @ ensures 1<=\result<=2; @ assigns \nothing; */ int b() { //call_to_an_undefined_function(); return 2; } /*@ requires \true; @ ensures 0<=\result<=1; @ assigns \nothing; */ int main(){ int x=a(); /*@ loop invariant 0<=x<=12; loop assigns x; loop variant 10-x; */ while (x<10) { x+=b(); } return a(); }
/*@ requires \true; @ ensures 0<=\result<=1; @ assigns \nothing; */ int a() { return 1; } /*@ requires \true; @ ensures 1<=\result<=2; @ assigns \nothing; */
int b() { //call_to_an_undefined_function(); return 2; }
true
8
8
int b() { //call_to_an_undefined_function(); return 2; }
/*@ requires \true; @ ensures 0<=\result<=1; @ assigns \nothing; */ int a() { return 1; } /*@ requires \true; @ ensures 1<=\result<=2; @ assigns \nothing; */
frama_c_files_v2/test_frama_c_1621.c
/*@ requires \true; @ behavior x_ge_y: @ assumes x >= y; @ ensures \result == x; @ behavior x_lt_y: @ assumes x < y; @ ensures \result == y; @ complete behaviors x_ge_y, x_lt_y; @ disjoint behaviors x_ge_y, x_lt_y; @*/ int max (int x, int y) { if (x >= y) { return x; } else { return y; } }
/*@ requires \true; @ behavior x_ge_y: @ assumes x >= y; @ ensures \result == x; @ behavior x_lt_y: @ assumes x < y; @ ensures \result == y; @ complete behaviors x_ge_y, x_lt_y; @ disjoint behaviors x_ge_y, x_lt_y; @*/
int max (int x, int y) { if (x >= y) { return x; } else { return y; } }
true
6
6
int max (int x, int y) { if (x >= y) { return x; } else { return y; } }
/*@ requires \true; @ behavior x_ge_y: @ assumes x >= y; @ ensures \result == x; @ behavior x_lt_y: @ assumes x < y; @ ensures \result == y; @ complete behaviors x_ge_y, x_lt_y; @ disjoint behaviors x_ge_y, x_lt_y; @*/
frama_c_files_v2/test_frama_c_2457.c
/* run.config COMMENT: test option -e-acsl-functions LOG: gen_@[email protected] OPT: -machdep gcc_x86_64 -e-acsl-functions f -e-acsl -then-last -load-script tests/print.cmxs -print -ocode tests/special/result/gen_@[email protected] -kernel-verbose 0 -eva-verbose 0 -eva -wp-rte */ /*@ requires \valid(p); @ requires *p == 0; @ ensures \result == 0; @ assigns \nothing; */ int f(int *p) { /*@ loop invariant 0 <= i <= 1; loop assigns i; loop variant 1 - i; */ for(int i = 0; i < 1; i++) ; return 0; } /*@ requires \valid(p); @ requires *p == 1; @ ensures \result == 0; @ assigns \nothing; */ int g(int *p) { /*@ loop invariant 0 <= i <= 1; loop assigns i; loop variant 1 - i; */ for(int i = 0; i < 1; i++) ; return 0; } /*@ assigns \nothing; */ int main(void) { int x = 0; int y = 1; f(&x); g(&y); }
/*@ requires \valid(p); @ requires *p == 0; @ ensures \result == 0; @ assigns \nothing; */
int f(int *p) { /*@ loop invariant 0 <= i <= 1; loop assigns i; loop variant 1 - i; */ for(int i = 0; i < 1; i++) ; return 0; }
true
11
11
int f(int *p) { /*@ loop invariant 0 <= i <= 1; loop assigns i; loop variant 1 - i; */ for(int i = 0; i < 1; i++) ; return 0; }
/*@ requires \valid(p); @ requires *p == 0; @ ensures \result == 0; @ assigns \nothing; */
frama_c_files_v2/test_frama_c_2457.c
/* run.config COMMENT: test option -e-acsl-functions LOG: gen_@[email protected] OPT: -machdep gcc_x86_64 -e-acsl-functions f -e-acsl -then-last -load-script tests/print.cmxs -print -ocode tests/special/result/gen_@[email protected] -kernel-verbose 0 -eva-verbose 0 -eva -wp-rte */ /*@ requires \valid(p); @ requires *p == 0; @ ensures \result == 0; @ assigns \nothing; */ int f(int *p) { /*@ loop invariant 0 <= i <= 1; loop assigns i; loop variant 1 - i; */ for(int i = 0; i < 1; i++) ; return 0; } /*@ requires \valid(p); @ requires *p == 1; @ ensures \result == 0; @ assigns \nothing; */ int g(int *p) { /*@ loop invariant 0 <= i <= 1; loop assigns i; loop variant 1 - i; */ for(int i = 0; i < 1; i++) ; return 0; } /*@ assigns \nothing; */ int main(void) { int x = 0; int y = 1; f(&x); g(&y); }
/*@ requires \valid(p); @ requires *p == 0; @ ensures \result == 0; @ assigns \nothing; */ int f(int *p) { /*@ loop invariant 0 <= i <= 1; loop assigns i; loop variant 1 - i; */ for(int i = 0; i < 1; i++) ; return 0; } /*@ requires \valid(p); @ requires *p == 1; @ ensures \result == 0; @ assigns \nothing; */
int g(int *p) { /*@ loop invariant 0 <= i <= 1; loop assigns i; loop variant 1 - i; */ for(int i = 0; i < 1; i++) ; return 0; }
true
22
22
int g(int *p) { /*@ loop invariant 0 <= i <= 1; loop assigns i; loop variant 1 - i; */ for(int i = 0; i < 1; i++) ; return 0; }
/*@ requires \valid(p); @ requires *p == 0; @ ensures \result == 0; @ assigns \nothing; */ int f(int *p) { /*@ loop invariant 0 <= i <= 1; loop assigns i; loop variant 1 - i; */ for(int i = 0; i < 1; i++) ; return 0; } /*@ requires \valid(p); @ requires *p == 1; @ ensures \result == 0; @ assigns \nothing; */
frama_c_files_v2/test_frama_c_371.c
/*@ @ requires 0 <= n <= 1000; @ ensures \result == n * n; @ assigns \nothing; */ int sum_n_odds(int n) { int res = 0; /*@ @ loop invariant 0 <= i <= n; @ loop invariant res == i * i; @ loop assigns res, i; @ loop variant n - i; */ for (int i = 0; i < n; ++i) { res += (2 * i) + 1; } return res; }
/*@ @ requires 0 <= n <= 1000; @ ensures \result == n * n; @ assigns \nothing; */
int sum_n_odds(int n) { int res = 0; /*@ @ loop invariant 0 <= i <= n; @ loop invariant res == i * i; @ loop assigns res, i; @ loop variant n - i; */ for (int i = 0; i < n; ++i) { res += (2 * i) + 1; } return res; }
true
17
17
int sum_n_odds(int n) { int res = 0; /*@ @ loop invariant 0 <= i <= n; @ loop invariant res == i * i; @ loop assigns res, i; @ loop variant n - i; */ for (int i = 0; i < n; ++i) { res += (2 * i) + 1; } return res; }
/*@ @ requires 0 <= n <= 1000; @ ensures \result == n * n; @ assigns \nothing; */
frama_c_files_v2/test_frama_c_1586.c
/*@ requires x >= -2147483647; assigns \nothing; ensures \result >= 0; ensures x < 0 ==> \result == -x; ensures x >= 0 ==> \result == x; */ int abs(int x) { if (x < 0) return -x; else return x; }
/*@ requires x >= -2147483647; assigns \nothing; ensures \result >= 0; ensures x < 0 ==> \result == -x; ensures x >= 0 ==> \result == x; */
int abs(int x) { if (x < 0) return -x; else return x; }
true
8
8
int abs(int x) { if (x < 0) return -x; else return x; }
/*@ requires x >= -2147483647; assigns \nothing; ensures \result >= 0; ensures x < 0 ==> \result == -x; ensures x >= 0 ==> \result == x; */
frama_c_files_v2/test_frama_c_526.c
#include <stdbool.h> /*@ requires n >= 0; requires \valid_read(a + (0 .. n-1)); requires \valid_read(b + (0 .. n-1)); assigns \nothing; behavior eq: assumes \forall integer i; 0 <= i < n ==> a[i] == b[i]; ensures \result; behavior neq: assumes \exists integer i; 0 <= i < n && a[i] != b[i]; ensures !\result; complete behaviors eq, neq; disjoint behaviors eq, neq; */ bool equal(int *a, int n, int *b) { /*@ loop invariant 0 <= i <= n; loop invariant \forall integer k; 0 <= k < i ==> a[k] == b[k]; loop assigns i; loop variant n - i; */ for(int i = 0; i < n; ++i) { if (a[i] != b[i]) { return false; } } return true; }
#include <stdbool.h> /*@ requires n >= 0; requires \valid_read(a + (0 .. n-1)); requires \valid_read(b + (0 .. n-1)); assigns \nothing; behavior eq: assumes \forall integer i; 0 <= i < n ==> a[i] == b[i]; ensures \result; behavior neq: assumes \exists integer i; 0 <= i < n && a[i] != b[i]; ensures !\result; complete behaviors eq, neq; disjoint behaviors eq, neq; */
bool equal(int *a, int n, int *b) { /*@ loop invariant 0 <= i <= n; loop invariant \forall integer k; 0 <= k < i ==> a[k] == b[k]; loop assigns i; loop variant n - i; */ for(int i = 0; i < n; ++i) { if (a[i] != b[i]) { return false; } } return true; }
true
19
19
bool equal(int *a, int n, int *b) { /*@ loop invariant 0 <= i <= n; loop invariant \forall integer k; 0 <= k < i ==> a[k] == b[k]; loop assigns i; loop variant n - i; */ for(int i = 0; i < n; ++i) { if (a[i] != b[i]) { return false; } } return true; }
#include <stdbool.h> /*@ requires n >= 0; requires \valid_read(a + (0 .. n-1)); requires \valid_read(b + (0 .. n-1)); assigns \nothing; behavior eq: assumes \forall integer i; 0 <= i < n ==> a[i] == b[i]; ensures \result; behavior neq: assumes \exists integer i; 0 <= i < n && a[i] != b[i]; ensures !\result; complete behaviors eq, neq; disjoint behaviors eq, neq; */
frama_c_files_v2/test_frama_c_1850.c
/*@ requires \valid(a) && \valid(b); requires \separated(a,b); assigns *a, *b; ensures *a == \old(*b) && *b == \old(*a); */ void swap(int *a, int *b){ int tmp = *a ; *a = *b ; *b = tmp ; } int main(){ int x = 2; int y = 4; swap(&x, &y); //@ assert x == 4 && y == 2 ; }
/*@ requires \valid(a) && \valid(b); requires \separated(a,b); assigns *a, *b; ensures *a == \old(*b) && *b == \old(*a); */
void swap(int *a, int *b){ int tmp = *a ; *a = *b ; *b = tmp ; }
true
9
9
void swap(int *a, int *b){ int tmp = *a ; *a = *b ; *b = tmp ; }
/*@ requires \valid(a) && \valid(b); requires \separated(a,b); assigns *a, *b; ensures *a == \old(*b) && *b == \old(*a); */
frama_c_files_v2/test_frama_c_569.c
/*@ requires x >= y > 0; requires \valid (r); ensures *r < y; ensures x == \result*y + *r; assigns *r; */ int fun(int x, int y , int *r) { *r = x; int d = 0; /*@ loop invariant *r == x - y*d; loop invariant d >= 0; loop assigns *r, d; loop variant *r; */ while (*r >= y) { *r = *r - y; d = d + 1; } return d; }
/*@ requires x >= y > 0; requires \valid (r); ensures *r < y; ensures x == \result*y + *r; assigns *r; */
int fun(int x, int y , int *r) { *r = x; int d = 0; /*@ loop invariant *r == x - y*d; loop invariant d >= 0; loop assigns *r, d; loop variant *r; */ while (*r >= y) { *r = *r - y; d = d + 1; } return d; }
true
21
21
int fun(int x, int y , int *r) { *r = x; int d = 0; /*@ loop invariant *r == x - y*d; loop invariant d >= 0; loop assigns *r, d; loop variant *r; */ while (*r >= y) { *r = *r - y; d = d + 1; } return d; }
/*@ requires x >= y > 0; requires \valid (r); ensures *r < y; ensures x == \result*y + *r; assigns *r; */
frama_c_files_v2/test_frama_c_1334.c
// complete is not effective, although negative is missing, taking it in/out doesn't make a difference still proved. #pragma JessieIntegerModel(exact) /*@ requires -2147483647 <= a <= 2147483647; assigns \nothing; behavior zero: assumes a == 0; ensures \result == 0; behavior positive: assumes a > 0; ensures \result == a; behavior negative: assumes a < 0; ensures \result == -a; complete behaviors zero, positive, negative; disjoint behaviors zero, positive, negative; */ int abs(int a) { if (a == 0) return 0; else if (a > 0) return a; else return -a; }
/*@ requires -2147483647 <= a <= 2147483647; assigns \nothing; behavior zero: assumes a == 0; ensures \result == 0; behavior positive: assumes a > 0; ensures \result == a; behavior negative: assumes a < 0; ensures \result == -a; complete behaviors zero, positive, negative; disjoint behaviors zero, positive, negative; */
int abs(int a) { if (a == 0) return 0; else if (a > 0) return a; else return -a; }
true
11
11
int abs(int a) { if (a == 0) return 0; else if (a > 0) return a; else return -a; }
/*@ requires -2147483647 <= a <= 2147483647; assigns \nothing; behavior zero: assumes a == 0; ensures \result == 0; behavior positive: assumes a > 0; ensures \result == a; behavior negative: assumes a < 0; ensures \result == -a; complete behaviors zero, positive, negative; disjoint behaviors zero, positive, negative; */
frama_c_files_v2/test_frama_c_1047.c
/*@ requires 1==1; */ void test(long x) { unsigned a = 0x10203040; unsigned b = (a << 16); unsigned long long al = a; unsigned long long bl = al << 16; //@ assert b == (unsigned)bl; //@ assert b == 0x30400000; }
/*@ requires 1==1; */
void test(long x) { unsigned a = 0x10203040; unsigned b = (a << 16); unsigned long long al = a; unsigned long long bl = al << 16; //@ assert b == (unsigned)bl; //@ assert b == 0x30400000; }
true
4
4
void test(long x) { unsigned a = 0x10203040; unsigned b = (a << 16); unsigned long long al = a; unsigned long long bl = al << 16; //@ assert b == (unsigned)bl; //@ assert b == 0x30400000; }
/*@ requires 1==1; */
frama_c_files_v2/test_frama_c_43.c
/*@ requires -1000000 < x < 1000000; ensures \result == x + 1; assigns \nothing; */ int f(int x) { return x+1; } /*@ requires -1000000 < x < 1000000; requires -1000000 < y < 1000000; ensures \result == x + y + 1; assigns \nothing; */ int g(int x, int y) { return (x+y+1); }
/*@ requires -1000000 < x < 1000000; ensures \result == x + 1; assigns \nothing; */
int f(int x) { return x+1; }
true
5
5
int f(int x) { return x+1; }
/*@ requires -1000000 < x < 1000000; ensures \result == x + 1; assigns \nothing; */
frama_c_files_v2/test_frama_c_43.c
/*@ requires -1000000 < x < 1000000; ensures \result == x + 1; assigns \nothing; */ int f(int x) { return x+1; } /*@ requires -1000000 < x < 1000000; requires -1000000 < y < 1000000; ensures \result == x + y + 1; assigns \nothing; */ int g(int x, int y) { return (x+y+1); }
/*@ requires -1000000 < x < 1000000; ensures \result == x + 1; assigns \nothing; */ int f(int x) { return x+1; } /*@ requires -1000000 < x < 1000000; requires -1000000 < y < 1000000; ensures \result == x + y + 1; assigns \nothing; */
int g(int x, int y) { return (x+y+1); }
true
12
12
int g(int x, int y) { return (x+y+1); }
/*@ requires -1000000 < x < 1000000; ensures \result == x + 1; assigns \nothing; */ int f(int x) { return x+1; } /*@ requires -1000000 < x < 1000000; requires -1000000 < y < 1000000; ensures \result == x + y + 1; assigns \nothing; */
frama_c_files_v2/test_frama_c_580.c
/*@ requires n > 0; requires \valid(a + (0..n-1)); ensures \forall integer i; 0 <= i < n ==> a[i]==0; */ void Zero_array(int a[], int n) { /*@ loop invariant \forall integer i; 0 <= i < j ==> a[i]==0; loop invariant 0 <= j <= n; loop assigns j,a[0..n-1]; loop variant n - j; */ for (int j = 0; j < n; j++) { a[j] = 0; } }
/*@ requires n > 0; requires \valid(a + (0..n-1)); ensures \forall integer i; 0 <= i < n ==> a[i]==0; */
void Zero_array(int a[], int n) { /*@ loop invariant \forall integer i; 0 <= i < j ==> a[i]==0; loop invariant 0 <= j <= n; loop assigns j,a[0..n-1]; loop variant n - j; */ for (int j = 0; j < n; j++) { a[j] = 0; } }
true
14
14
void Zero_array(int a[], int n) { /*@ loop invariant \forall integer i; 0 <= i < j ==> a[i]==0; loop invariant 0 <= j <= n; loop assigns j,a[0..n-1]; loop variant n - j; */ for (int j = 0; j < n; j++) { a[j] = 0; } }
/*@ requires n > 0; requires \valid(a + (0..n-1)); ensures \forall integer i; 0 <= i < n ==> a[i]==0; */
frama_c_files_v2/test_frama_c_2678.c
/*@ requires \valid(a+(0..n-1)); requires 0 <= i < n; requires 0 <= j < n; assigns a[i], a[j]; ensures a[i] == \old(a[j]); ensures a[j] == \old(a[i]); */ static inline void swap(int a[], int i, int j, int n) { int tmp = a[i]; a[i] = a[j]; a[j] = tmp; }
/*@ requires \valid(a+(0..n-1)); requires 0 <= i < n; requires 0 <= j < n; assigns a[i], a[j]; ensures a[i] == \old(a[j]); ensures a[j] == \old(a[i]); */
static inline void swap(int a[], int i, int j, int n) { int tmp = a[i]; a[i] = a[j]; a[j] = tmp; }
true
10
10
static inline void swap(int a[], int i, int j, int n) { int tmp = a[i]; a[i] = a[j]; a[j] = tmp; }
/*@ requires \valid(a+(0..n-1)); requires 0 <= i < n; requires 0 <= j < n; assigns a[i], a[j]; ensures a[i] == \old(a[j]); ensures a[j] == \old(a[i]); */
frama_c_files_v2/test_frama_c_2944.c
/*@ requires -2147483647 <= n <= 2147483647; ensures \result >=0; assigns \nothing; behavior positive: assumes n >= 0; ensures \result == n; assigns \nothing; behavior negative: assumes n < 0; ensures \result == -n; assigns \nothing; complete behaviors positive, negative; disjoint behaviors positive, negative; */ int abs(int n){ if(n<0){ return -n; } return n; }
/*@ requires -2147483647 <= n <= 2147483647; ensures \result >=0; assigns \nothing; behavior positive: assumes n >= 0; ensures \result == n; assigns \nothing; behavior negative: assumes n < 0; ensures \result == -n; assigns \nothing; complete behaviors positive, negative; disjoint behaviors positive, negative; */
int abs(int n){ if(n<0){ return -n; } return n; }
true
14
14
int abs(int n){ if(n<0){ return -n; } return n; }
/*@ requires -2147483647 <= n <= 2147483647; ensures \result >=0; assigns \nothing; behavior positive: assumes n >= 0; ensures \result == n; assigns \nothing; behavior negative: assumes n < 0; ensures \result == -n; assigns \nothing; complete behaviors positive, negative; disjoint behaviors positive, negative; */
frama_c_files_v2/test_frama_c_1168.c
#include <limits.h> /*@ requires (x > INT_MIN) && (y > INT_MIN) && (x >= y && x - y <= INT_MAX || x < y && x - y >= INT_MIN); ensures y == x-\result; assigns \nothing; */ int diff (int x, int y) { return x-y; } /*@ assigns \nothing; */ void main() { int t = diff(10, 5); //@ assert t == 5; }
#include <limits.h> /*@ requires (x > INT_MIN) && (y > INT_MIN) && (x >= y && x - y <= INT_MAX || x < y && x - y >= INT_MIN); ensures y == x-\result; assigns \nothing; */
int diff (int x, int y) { return x-y; }
true
6
6
int diff (int x, int y) { return x-y; }
#include <limits.h> /*@ requires (x > INT_MIN) && (y > INT_MIN) && (x >= y && x - y <= INT_MAX || x < y && x - y >= INT_MIN); ensures y == x-\result; assigns \nothing; */
frama_c_files_v2/test_frama_c_286.c
#include "limits.h" /*@ requires b != 0; @ requires !(a == INT_MIN && b == -1); @ ensures \result == a/b; @ assigns \nothing; @*/ int div(int a, int b) { return a / b; }
#include "limits.h" /*@ requires b != 0; @ requires !(a == INT_MIN && b == -1); @ ensures \result == a/b; @ assigns \nothing; @*/
int div(int a, int b) { return a / b; }
true
6
6
int div(int a, int b) { return a / b; }
#include "limits.h" /*@ requires b != 0; @ requires !(a == INT_MIN && b == -1); @ ensures \result == a/b; @ assigns \nothing; @*/
frama_c_files_v2/test_frama_c_1562.c
/* run.config OPT: -rpp */ /* * Based on http://stackoverflow.xluat.com/questions/31235938/java-order-by-priority-list * */ struct MyClass{ int Name; }; struct hack{ int t[3]; }; /*@ assigns \result \from x,y; @ ensures x < y ==> \result == -1; @ ensures x > y ==> \result == 1; @ ensures x == y ==> \result == 0; */ int IntCompare(int x, int y){ if (x < y){ return -1; } if(x > y){ return 1; } return 0; } /*@ assigns \result \from o1.Name, o2.Name, h.t[0..2]; @ ensures \result == -1 || \result == 0 || \result == 1; */ int compare(struct MyClass o1, struct MyClass o2,struct hack h){ int x = o1.Name; int y = o2.Name; int i = 0; /*@ loop invariant 0 <= i <= 3; loop invariant \forall integer k; 0 <= k < i ==> h.t[k] != x && h.t[k] != y; loop invariant \forall integer k; 0 <= k < 3 ==> h.t[k] == \at(h.t[k],LoopEntry); loop assigns i; loop variant 3 - i; */ while(i < 3){ /*@ assert \forall integer k; 0 <= k < i ==> h.t[k] != x && h.t[k] != y; */ if(h.t[i] == x) { return 1; } if(h.t[i] == y) { return -1; } i++; } return IntCompare(x,y); }
/*@ assigns \result \from x,y; @ ensures x < y ==> \result == -1; @ ensures x > y ==> \result == 1; @ ensures x == y ==> \result == 0; */
int IntCompare(int x, int y){ if (x < y){ return -1; } if(x > y){ return 1; } return 0; }
true
8
8
int IntCompare(int x, int y){ if (x < y){ return -1; } if(x > y){ return 1; } return 0; }
/*@ assigns \result \from x,y; @ ensures x < y ==> \result == -1; @ ensures x > y ==> \result == 1; @ ensures x == y ==> \result == 0; */
frama_c_files_v2/test_frama_c_348.c
/*@ requires n>0; requires \valid(t+(0..n-1)); assigns t[0..n-1]; ensures \forall integer i; 0<=i<n ==> t[i] == i ; ensures \forall integer i; 0<=i<n-1 ==> t[i] <= t[i+1]; */ int doubleint(int t[],int n) { /*@ loop invariant 0<=i<=n; loop invariant \forall integer j; 0<=j<i ==> t[j] == j ; loop assigns i, t[0..n-1]; loop variant n-i; */ for(int i=0;i<n;i++) { t[i]=i; } return 0; }
/*@ requires n>0; requires \valid(t+(0..n-1)); assigns t[0..n-1]; ensures \forall integer i; 0<=i<n ==> t[i] == i ; ensures \forall integer i; 0<=i<n-1 ==> t[i] <= t[i+1]; */
int doubleint(int t[],int n) { /*@ loop invariant 0<=i<=n; loop invariant \forall integer j; 0<=j<i ==> t[j] == j ; loop assigns i, t[0..n-1]; loop variant n-i; */ for(int i=0;i<n;i++) { t[i]=i; } return 0; }
true
17
17
int doubleint(int t[],int n) { /*@ loop invariant 0<=i<=n; loop invariant \forall integer j; 0<=j<i ==> t[j] == j ; loop assigns i, t[0..n-1]; loop variant n-i; */ for(int i=0;i<n;i++) { t[i]=i; } return 0; }
/*@ requires n>0; requires \valid(t+(0..n-1)); assigns t[0..n-1]; ensures \forall integer i; 0<=i<n ==> t[i] == i ; ensures \forall integer i; 0<=i<n-1 ==> t[i] <= t[i+1]; */
frama_c_files_v2/test_frama_c_2821.c
/*@ requires \valid(t+(0..taille-1)) && taille>0; assigns \nothing; ensures (\forall integer i; 0<=i<taille-1 ==> t[i]<=t[i+1]) ==> \result==1; ensures (\exists integer i; 0<=i<taille-1 && t[i]>t[i+1]) ==> \result==0; */ int increasing(int t[], int taille){ /*@ loop invariant 0<=i<=taille-1; loop invariant \forall integer j; 0<=j<i ==> t[j]<=t[j+1]; loop assigns i; loop variant taille-i-1; */ for(int i=0;i<taille-1;i++){ if(t[i]>t[i+1]) return 0; } return 1; }
/*@ requires \valid(t+(0..taille-1)) && taille>0; assigns \nothing; ensures (\forall integer i; 0<=i<taille-1 ==> t[i]<=t[i+1]) ==> \result==1; ensures (\exists integer i; 0<=i<taille-1 && t[i]>t[i+1]) ==> \result==0; */
int increasing(int t[], int taille){ /*@ loop invariant 0<=i<=taille-1; loop invariant \forall integer j; 0<=j<i ==> t[j]<=t[j+1]; loop assigns i; loop variant taille-i-1; */ for(int i=0;i<taille-1;i++){ if(t[i]>t[i+1]) return 0; } return 1; }
true
19
19
int increasing(int t[], int taille){ /*@ loop invariant 0<=i<=taille-1; loop invariant \forall integer j; 0<=j<i ==> t[j]<=t[j+1]; loop assigns i; loop variant taille-i-1; */ for(int i=0;i<taille-1;i++){ if(t[i]>t[i+1]) return 0; } return 1; }
/*@ requires \valid(t+(0..taille-1)) && taille>0; assigns \nothing; ensures (\forall integer i; 0<=i<taille-1 ==> t[i]<=t[i+1]) ==> \result==1; ensures (\exists integer i; 0<=i<taille-1 && t[i]>t[i+1]) ==> \result==0; */
frama_c_files_v2/test_frama_c_1158.c
#pragma CIVL ACSL enum t{RED, BLUE}; /*@ requires \valid_read(a) && *a==BLUE; @ ensures \result == 2; @ assigns \nothing; @*/ int f(enum t* a){ return (*a)*2; }
enum t{RED, BLUE}; /*@ requires \valid_read(a) && *a==BLUE; @ ensures \result == 2; @ assigns \nothing; @*/
int f(enum t* a){ return (*a)*2; }
true
5
5
int f(enum t* a){ return (*a)*2; }
enum t{RED, BLUE}; /*@ requires \valid_read(a) && *a==BLUE; @ ensures \result == 2; @ assigns \nothing; @*/
frama_c_files_v2/test_frama_c_815.c
/*@ requires n > 0; requires \valid_read(a + (0..n-1)); ensures \forall integer i; 0 <= i < n ==> \result <= a[i]; */ int Min_elements(int a[], int n) { int min = a[0]; /*@ loop invariant 1 <= j <= n; loop invariant \forall integer k; 0 <= k < j ==> min <= a[k]; loop assigns j, min; loop variant n - j; */ for (int j = 1; j < n; j++) { if (a[j] < min) min = a[j]; } return min; }
/*@ requires n > 0; requires \valid_read(a + (0..n-1)); ensures \forall integer i; 0 <= i < n ==> \result <= a[i]; */
int Min_elements(int a[], int n) { int min = a[0]; /*@ loop invariant 1 <= j <= n; loop invariant \forall integer k; 0 <= k < j ==> min <= a[k]; loop assigns j, min; loop variant n - j; */ for (int j = 1; j < n; j++) { if (a[j] < min) min = a[j]; } return min; }
true
14
14
int Min_elements(int a[], int n) { int min = a[0]; /*@ loop invariant 1 <= j <= n; loop invariant \forall integer k; 0 <= k < j ==> min <= a[k]; loop assigns j, min; loop variant n - j; */ for (int j = 1; j < n; j++) { if (a[j] < min) min = a[j]; } return min; }
/*@ requires n > 0; requires \valid_read(a + (0..n-1)); ensures \forall integer i; 0 <= i < n ==> \result <= a[i]; */
frama_c_files_v2/test_frama_c_1891.c
#include <limits.h> /*@ requires INT_MIN <= a - b <= INT_MAX; ensures (\result == a - b); assigns \nothing; */ int sub(int a,int b) { int diff = a - b; return diff; } /*@ assigns \nothing; */ int main(void) { int a = 7; int b = 6; sub(a,b); return 0; }
#include <limits.h> /*@ requires INT_MIN <= a - b <= INT_MAX; ensures (\result == a - b); assigns \nothing; */
int sub(int a,int b) { int diff = a - b; return diff; }
true
6
6
int sub(int a,int b) { int diff = a - b; return diff; }
#include <limits.h> /*@ requires INT_MIN <= a - b <= INT_MAX; ensures (\result == a - b); assigns \nothing; */
frama_c_files_v2/test_frama_c_482.c
/*@ requires \valid_read(t+(0..tt-1)) && tt>0; requires \valid_read(s+(0..ts-1)) && ts>0; requires \valid(r+(0..tt+ts-1)); requires 0<tt<100; requires 0<ts<100; requires \separated(t+(0..tt-1), s+(0..ts-1), r+(0..tt+ts-1)); ensures \forall integer i; 0<=i<tt ==> r[i]==t[i]; ensures \forall integer j; 0<=j<ts ==> r[j+tt]==s[j]; assigns r[0..tt+ts-1]; */ void concat(int t[], int tt, int s[], int ts, int r[]){ /*@ loop invariant 0<=i<=tt; loop invariant \forall integer j; 0<=j<i ==> r[j]==t[j]; loop assigns i, r[0..tt+ts-1]; loop variant tt-i; */ for(int i=0;i<tt;i++){ /*@ assert \forall integer j; 0<=j<i ==> r[j]==t[j]; */ r[i]=t[i]; } /*@ loop invariant 0<=i<=ts; loop invariant \forall integer j; 0<=j<tt ==> r[j]==t[j]; loop invariant \forall integer j; 0<=j<i ==> r[j+tt]==s[j]; loop assigns i, r[0..tt+ts-1]; loop variant ts-i; */ for(int i=0;i<ts;i++){ /*@ assert \forall integer j; 0<=j<tt ==> r[j]==t[j]; */ r[i+tt]=s[i]; } }
/*@ requires \valid_read(t+(0..tt-1)) && tt>0; requires \valid_read(s+(0..ts-1)) && ts>0; requires \valid(r+(0..tt+ts-1)); requires 0<tt<100; requires 0<ts<100; requires \separated(t+(0..tt-1), s+(0..ts-1), r+(0..tt+ts-1)); ensures \forall integer i; 0<=i<tt ==> r[i]==t[i]; ensures \forall integer j; 0<=j<ts ==> r[j+tt]==s[j]; assigns r[0..tt+ts-1]; */
void concat(int t[], int tt, int s[], int ts, int r[]){ /*@ loop invariant 0<=i<=tt; loop invariant \forall integer j; 0<=j<i ==> r[j]==t[j]; loop assigns i, r[0..tt+ts-1]; loop variant tt-i; */ for(int i=0;i<tt;i++){ /*@ assert \forall integer j; 0<=j<i ==> r[j]==t[j]; */ r[i]=t[i]; } /*@ loop invariant 0<=i<=ts; loop invariant \forall integer j; 0<=j<tt ==> r[j]==t[j]; loop invariant \forall integer j; 0<=j<i ==> r[j+tt]==s[j]; loop assigns i, r[0..tt+ts-1]; loop variant ts-i; */ for(int i=0;i<ts;i++){ /*@ assert \forall integer j; 0<=j<tt ==> r[j]==t[j]; */ r[i+tt]=s[i]; } }
true
36
36
void concat(int t[], int tt, int s[], int ts, int r[]){ /*@ loop invariant 0<=i<=tt; loop invariant \forall integer j; 0<=j<i ==> r[j]==t[j]; loop assigns i, r[0..tt+ts-1]; loop variant tt-i; */ for(int i=0;i<tt;i++){ /*@ assert \forall integer j; 0<=j<i ==> r[j]==t[j]; */ r[i]=t[i]; } /*@ loop invariant 0<=i<=ts; loop invariant \forall integer j; 0<=j<tt ==> r[j]==t[j]; loop invariant \forall integer j; 0<=j<i ==> r[j+tt]==s[j]; loop assigns i, r[0..tt+ts-1]; loop variant ts-i; */ for(int i=0;i<ts;i++){ /*@ assert \forall integer j; 0<=j<tt ==> r[j]==t[j]; */ r[i+tt]=s[i]; } }
/*@ requires \valid_read(t+(0..tt-1)) && tt>0; requires \valid_read(s+(0..ts-1)) && ts>0; requires \valid(r+(0..tt+ts-1)); requires 0<tt<100; requires 0<ts<100; requires \separated(t+(0..tt-1), s+(0..ts-1), r+(0..tt+ts-1)); ensures \forall integer i; 0<=i<tt ==> r[i]==t[i]; ensures \forall integer j; 0<=j<ts ==> r[j+tt]==s[j]; assigns r[0..tt+ts-1]; */
frama_c_files_v2/test_frama_c_2479.c
#include "limits.h" /*@ requires a*x <= INT_MAX && a*x+b <= INT_MAX && a*x >= INT_MIN && a*x+b >= INT_MIN; ensures \result >= INT_MIN && \result <= INT_MAX && \result == a*x+b; */ int f(int a,int b,int x) { return a*x+b; }
#include "limits.h" /*@ requires a*x <= INT_MAX && a*x+b <= INT_MAX && a*x >= INT_MIN && a*x+b >= INT_MIN; ensures \result >= INT_MIN && \result <= INT_MAX && \result == a*x+b; */
int f(int a,int b,int x) { return a*x+b; }
true
7
7
int f(int a,int b,int x) { return a*x+b; }
#include "limits.h" /*@ requires a*x <= INT_MAX && a*x+b <= INT_MAX && a*x >= INT_MIN && a*x+b >= INT_MIN; ensures \result >= INT_MIN && \result <= INT_MAX && \result == a*x+b; */
frama_c_files_v2/test_frama_c_1549.c
/*@ requires \valid(t+(0..n-1)) && n>0; behavior success: assumes \exists integer i; 0<=i<n && t[i]==val; ensures 0<=\result<n; behavior failure: assumes \forall integer i; 0<=i<n ==> t[i]!=val; ensures \result==-1; complete behaviors success, failure; disjoint behaviors success, failure; */ int index(int t[], int val, int n){ /*@ loop invariant 0<=i<=n; loop invariant \forall integer j; 0<=j<i ==> t[j]!=val; loop assigns i; loop variant n-i; */ for(int i=0;i<n;i++){ if(t[i]==val) return i; } return -1; }
/*@ requires \valid(t+(0..n-1)) && n>0; behavior success: assumes \exists integer i; 0<=i<n && t[i]==val; ensures 0<=\result<n; behavior failure: assumes \forall integer i; 0<=i<n ==> t[i]!=val; ensures \result==-1; complete behaviors success, failure; disjoint behaviors success, failure; */
int index(int t[], int val, int n){ /*@ loop invariant 0<=i<=n; loop invariant \forall integer j; 0<=j<i ==> t[j]!=val; loop assigns i; loop variant n-i; */ for(int i=0;i<n;i++){ if(t[i]==val) return i; } return -1; }
true
15
15
int index(int t[], int val, int n){ /*@ loop invariant 0<=i<=n; loop invariant \forall integer j; 0<=j<i ==> t[j]!=val; loop assigns i; loop variant n-i; */ for(int i=0;i<n;i++){ if(t[i]==val) return i; } return -1; }
/*@ requires \valid(t+(0..n-1)) && n>0; behavior success: assumes \exists integer i; 0<=i<n && t[i]==val; ensures 0<=\result<n; behavior failure: assumes \forall integer i; 0<=i<n ==> t[i]!=val; ensures \result==-1; complete behaviors success, failure; disjoint behaviors success, failure; */
frama_c_files_v2/test_frama_c_2295.c
/*@ requires \valid(t+(0..n-1)) && n > 0; ensures \forall integer i; 0<=i<n ==> t[\result] <= t[i]; ensures \exists integer i; 0<=i<n && i == \result; assigns \nothing; */ int min(int t[], int n) { int index = 0; /*@ loop invariant 1 <= i <= n; loop invariant 0<=index<n; loop invariant \forall integer j; 0<=j<i ==> t[index] <= t[j]; loop assigns index, i; loop variant n - i; */ for (int i = 1; i < n; i++){ if (t[i] < t[index]) { index=i; //@ assert \forall integer j; 0 <= j < i ==> t[index] <= t[j]; } } return index; }
/*@ requires \valid(t+(0..n-1)) && n > 0; ensures \forall integer i; 0<=i<n ==> t[\result] <= t[i]; ensures \exists integer i; 0<=i<n && i == \result; assigns \nothing; */
int min(int t[], int n) { int index = 0; /*@ loop invariant 1 <= i <= n; loop invariant 0<=index<n; loop invariant \forall integer j; 0<=j<i ==> t[index] <= t[j]; loop assigns index, i; loop variant n - i; */ for (int i = 1; i < n; i++){ if (t[i] < t[index]) { index=i; //@ assert \forall integer j; 0 <= j < i ==> t[index] <= t[j]; } } return index; }
true
18
18
int min(int t[], int n) { int index = 0; /*@ loop invariant 1 <= i <= n; loop invariant 0<=index<n; loop invariant \forall integer j; 0<=j<i ==> t[index] <= t[j]; loop assigns index, i; loop variant n - i; */ for (int i = 1; i < n; i++){ if (t[i] < t[index]) { index=i; //@ assert \forall integer j; 0 <= j < i ==> t[index] <= t[j]; } } return index; }
/*@ requires \valid(t+(0..n-1)) && n > 0; ensures \forall integer i; 0<=i<n ==> t[\result] <= t[i]; ensures \exists integer i; 0<=i<n && i == \result; assigns \nothing; */
frama_c_files_v2/test_frama_c_1729.c
/*@ requires \valid_read(p+(0..n-1)); @ ensures \result == 0; @ assigns \nothing; @ */ int somefun(char *p, int n) { return 0; }
/*@ requires \valid_read(p+(0..n-1)); @ ensures \result == 0; @ assigns \nothing; @ */
int somefun(char *p, int n) { return 0; }
true
4
4
int somefun(char *p, int n) { return 0; }
/*@ requires \valid_read(p+(0..n-1)); @ ensures \result == 0; @ assigns \nothing; @ */
frama_c_files_v2/test_frama_c_2489.c
/*@ ensures (x==0||y==1)?\result==1:\result == 0; assigns \nothing; */ int f(int x, int y) { return (x==0||y==1); } /*@ assigns \nothing; */ int main() { int x = f(42,1); int y = f(0,36); return 0; }
/*@ ensures (x==0||y==1)?\result==1:\result == 0; assigns \nothing; */
int f(int x, int y) { return (x==0||y==1); }
true
6
6
int f(int x, int y) { return (x==0||y==1); }
/*@ ensures (x==0||y==1)?\result==1:\result == 0; assigns \nothing; */
frama_c_files_v2/test_frama_c_186.c
/*@ requires 0 <= n <= 1000; ensures \result == n*(n-1)/2; */ int sum(int n){ int res=0; /*@ loop invariant 0<=i<=n; loop invariant res == i*(i-1)/2; loop assigns res, i; loop variant n-i; */ for(int i=0;i<n;i++) { res+=i; } return res; }
/*@ requires 0 <= n <= 1000; ensures \result == n*(n-1)/2; */
int sum(int n){ int res=0; /*@ loop invariant 0<=i<=n; loop invariant res == i*(i-1)/2; loop assigns res, i; loop variant n-i; */ for(int i=0;i<n;i++) { res+=i; } return res; }
true
13
13
int sum(int n){ int res=0; /*@ loop invariant 0<=i<=n; loop invariant res == i*(i-1)/2; loop assigns res, i; loop variant n-i; */ for(int i=0;i<n;i++) { res+=i; } return res; }
/*@ requires 0 <= n <= 1000; ensures \result == n*(n-1)/2; */
frama_c_files_v2/test_frama_c_1009.c
/*@ requires b != 0 && (a != -2147483648 || b != -1); // Prevent potential overflow assigns \nothing; ensures \result == (a % b); */ int mod(int a, int b) { return a % b; }
/*@ requires b != 0 && (a != -2147483648 || b != -1); // Prevent potential overflow assigns \nothing; ensures \result == (a % b); */
int mod(int a, int b) { return a % b; }
true
6
6
int mod(int a, int b) { return a % b; }
/*@ requires b != 0 && (a != -2147483648 || b != -1); // Prevent potential overflow assigns \nothing; ensures \result == (a % b); */
frama_c_files_v2/test_frama_c_2409.c
#include <stdbool.h> /*@ requires \valid(t1+(0..n-1)) && \valid(t2+(0..n-1)) && n>0; ensures (\forall integer i; 0<=i<n ==> t1[i] == t2[i]) ==> \result==1; ensures (\exists integer i; 0<=i<n && t1[i] != t2[i]) ==> \result==0; assigns \nothing; */ int compare(int t1[], int t2[], int n){ int i=0; bool diff_found = 0; /*@ loop invariant 0<=i<=n; loop invariant (\forall integer j; 0<=j<i ==> t1[j] == t2[j]) || (i == 0); loop invariant !diff_found ==> (\forall integer j; 0<=j<i ==> t1[j] == t2[j]); loop invariant diff_found ==> (\exists integer j; 0<=j<i && t1[j] != t2[j]); loop assigns i, diff_found; loop variant n-i; */ for(i=0;i<n;i++) { if(t1[i] != t2[i]) { diff_found = 1; return 0; } } return 1; }
#include <stdbool.h> /*@ requires \valid(t1+(0..n-1)) && \valid(t2+(0..n-1)) && n>0; ensures (\forall integer i; 0<=i<n ==> t1[i] == t2[i]) ==> \result==1; ensures (\exists integer i; 0<=i<n && t1[i] != t2[i]) ==> \result==0; assigns \nothing; */
int compare(int t1[], int t2[], int n){ int i=0; bool diff_found = 0; /*@ loop invariant 0<=i<=n; loop invariant (\forall integer j; 0<=j<i ==> t1[j] == t2[j]) || (i == 0); loop invariant !diff_found ==> (\forall integer j; 0<=j<i ==> t1[j] == t2[j]); loop invariant diff_found ==> (\exists integer j; 0<=j<i && t1[j] != t2[j]); loop assigns i, diff_found; loop variant n-i; */ for(i=0;i<n;i++) { if(t1[i] != t2[i]) { diff_found = 1; return 0; } } return 1; }
true
23
23
int compare(int t1[], int t2[], int n){ int i=0; bool diff_found = 0; /*@ loop invariant 0<=i<=n; loop invariant (\forall integer j; 0<=j<i ==> t1[j] == t2[j]) || (i == 0); loop invariant !diff_found ==> (\forall integer j; 0<=j<i ==> t1[j] == t2[j]); loop invariant diff_found ==> (\exists integer j; 0<=j<i && t1[j] != t2[j]); loop assigns i, diff_found; loop variant n-i; */ for(i=0;i<n;i++) { if(t1[i] != t2[i]) { diff_found = 1; return 0; } } return 1; }
#include <stdbool.h> /*@ requires \valid(t1+(0..n-1)) && \valid(t2+(0..n-1)) && n>0; ensures (\forall integer i; 0<=i<n ==> t1[i] == t2[i]) ==> \result==1; ensures (\exists integer i; 0<=i<n && t1[i] != t2[i]) ==> \result==0; assigns \nothing; */
frama_c_files_v2/test_frama_c_2892.c
/*@ requires \valid_read(t+(0..n-1)) && n > 0; ensures \forall integer i; 0<=i<n ==> \result <= t[i]; ensures \exists integer i; 0<=i<n && t[i] == \result; assigns \nothing; */ int min(int t[], int n) { int res = t[0]; /*@ loop invariant 1 <= i <= n; loop invariant \forall integer j; 0 <= j < i ==> res <= t[j]; loop invariant \exists integer j; 0 <= j < i && res == t[j]; loop assigns res, i; loop variant n - i; */ for (int i = 1; i < n; i++) if (t[i] < res) res = t[i]; return res; }
/*@ requires \valid_read(t+(0..n-1)) && n > 0; ensures \forall integer i; 0<=i<n ==> \result <= t[i]; ensures \exists integer i; 0<=i<n && t[i] == \result; assigns \nothing; */
int min(int t[], int n) { int res = t[0]; /*@ loop invariant 1 <= i <= n; loop invariant \forall integer j; 0 <= j < i ==> res <= t[j]; loop invariant \exists integer j; 0 <= j < i && res == t[j]; loop assigns res, i; loop variant n - i; */ for (int i = 1; i < n; i++) if (t[i] < res) res = t[i]; return res; }
true
18
18
int min(int t[], int n) { int res = t[0]; /*@ loop invariant 1 <= i <= n; loop invariant \forall integer j; 0 <= j < i ==> res <= t[j]; loop invariant \exists integer j; 0 <= j < i && res == t[j]; loop assigns res, i; loop variant n - i; */ for (int i = 1; i < n; i++) if (t[i] < res) res = t[i]; return res; }
/*@ requires \valid_read(t+(0..n-1)) && n > 0; ensures \forall integer i; 0<=i<n ==> \result <= t[i]; ensures \exists integer i; 0<=i<n && t[i] == \result; assigns \nothing; */
frama_c_files_v2/test_frama_c_2638.c
/*@ axiomatic LCM { logic integer lcm(integer m, integer n); } */ /*@ requires a>0 && b>0; decreases a+b; assigns \nothing; ensures a == 0 ==> \result == b; ensures b == 0 ==> \result == a; ensures a == b ==> \result == a; */ int gcd(int a, int b) { if (a == 0) return b; if (b == 0) return a; if (a == b) return a; if (a > b) return gcd(a-b, b); return gcd(a, b-a); } /*@ assigns \nothing; */ int main() { int a = 98, b = 56; return 0; }
/*@ axiomatic LCM { logic integer lcm(integer m, integer n); } */ /*@ requires a>0 && b>0; decreases a+b; assigns \nothing; ensures a == 0 ==> \result == b; ensures b == 0 ==> \result == a; ensures a == b ==> \result == a; */
int gcd(int a, int b) { if (a == 0) return b; if (b == 0) return a; if (a == b) return a; if (a > b) return gcd(a-b, b); return gcd(a, b-a); }
true
22
22
int gcd(int a, int b) { if (a == 0) return b; if (b == 0) return a; if (a == b) return a; if (a > b) return gcd(a-b, b); return gcd(a, b-a); }
/*@ axiomatic LCM { logic integer lcm(integer m, integer n); } */ /*@ requires a>0 && b>0; decreases a+b; assigns \nothing; ensures a == 0 ==> \result == b; ensures b == 0 ==> \result == a; ensures a == b ==> \result == a; */
frama_c_files_v2/test_frama_c_259.c
/*@ requires \valid (s+(0..n-1)); requires \valid (t+(0..n-1)); requires n > 0; assigns \nothing; ensures \result <==> (\forall integer i; 0 <= i < n ==> s[i] == t[i]); */ int compare_array(int s[], int t[], int n) { int i = 0; /*@ loop invariant \forall integer j; 0 <= j < i ==> s[j] == t[j]; loop invariant 0 <= i <= n; loop assigns i; loop variant n-i; */ while (i < n && s[i] == t[i]) { i++; } return i == n; }
/*@ requires \valid (s+(0..n-1)); requires \valid (t+(0..n-1)); requires n > 0; assigns \nothing; ensures \result <==> (\forall integer i; 0 <= i < n ==> s[i] == t[i]); */
int compare_array(int s[], int t[], int n) { int i = 0; /*@ loop invariant \forall integer j; 0 <= j < i ==> s[j] == t[j]; loop invariant 0 <= i <= n; loop assigns i; loop variant n-i; */ while (i < n && s[i] == t[i]) { i++; } return i == n; }
true
15
15
int compare_array(int s[], int t[], int n) { int i = 0; /*@ loop invariant \forall integer j; 0 <= j < i ==> s[j] == t[j]; loop invariant 0 <= i <= n; loop assigns i; loop variant n-i; */ while (i < n && s[i] == t[i]) { i++; } return i == n; }
/*@ requires \valid (s+(0..n-1)); requires \valid (t+(0..n-1)); requires n > 0; assigns \nothing; ensures \result <==> (\forall integer i; 0 <= i < n ==> s[i] == t[i]); */
frama_c_files_v2/test_frama_c_2273.c
/*@ @ requires n > 0; @ requires \valid(a+(0..n-1)); @ @ assigns \nothing; @ behavior true_: @ assumes \forall integer i; 0 <= i < n / 2 ==> a[i] == a[n - i - 1]; @ ensures \result == 1; @ behavior false_: @ assumes \exists integer i; 0 <= i < n / 2 && a[i] != a[n - i - 1]; @ ensures \result == 0; @ complete behaviors true_, false_; @ disjoint behaviors true_, false_; */ int palindrome(int a[], int n) { /*@ @ loop invariant 0 <= i <= n / 2; @ loop invariant \forall integer j; 0 <= j < i ==> a[j] == a[n - j - 1]; @ loop assigns i; @ loop variant n - 2 * i; */ for (int i = 0; i < n / 2; ++i) { if (a[i] != a[n - i - 1]) return 0; } return 1; }
/*@ @ requires n > 0; @ requires \valid(a+(0..n-1)); @ @ assigns \nothing; @ behavior true_: @ assumes \forall integer i; 0 <= i < n / 2 ==> a[i] == a[n - i - 1]; @ ensures \result == 1; @ behavior false_: @ assumes \exists integer i; 0 <= i < n / 2 && a[i] != a[n - i - 1]; @ ensures \result == 0; @ complete behaviors true_, false_; @ disjoint behaviors true_, false_; */
int palindrome(int a[], int n) { /*@ @ loop invariant 0 <= i <= n / 2; @ loop invariant \forall integer j; 0 <= j < i ==> a[j] == a[n - j - 1]; @ loop assigns i; @ loop variant n - 2 * i; */ for (int i = 0; i < n / 2; ++i) { if (a[i] != a[n - i - 1]) return 0; } return 1; }
true
22
22
int palindrome(int a[], int n) { /*@ @ loop invariant 0 <= i <= n / 2; @ loop invariant \forall integer j; 0 <= j < i ==> a[j] == a[n - j - 1]; @ loop assigns i; @ loop variant n - 2 * i; */ for (int i = 0; i < n / 2; ++i) { if (a[i] != a[n - i - 1]) return 0; } return 1; }
/*@ @ requires n > 0; @ requires \valid(a+(0..n-1)); @ @ assigns \nothing; @ behavior true_: @ assumes \forall integer i; 0 <= i < n / 2 ==> a[i] == a[n - i - 1]; @ ensures \result == 1; @ behavior false_: @ assumes \exists integer i; 0 <= i < n / 2 && a[i] != a[n - i - 1]; @ ensures \result == 0; @ complete behaviors true_, false_; @ disjoint behaviors true_, false_; */
frama_c_files_v2/test_frama_c_122.c
/* bts 60: 1 should be lifted to a real number implicitely. */ /*@ ensures 1.0 == 1; assigns \nothing;*/ void f(); /*@ lemma foo: 1.0 == (float)1; */ void f() { double B; } typedef int T, T4[4], *T_PTR; const T X, Tab[4]; typedef T_PTR T_PTR_T4[4]; const T_PTR_T4 Tab_Ptr = { &X, &X, &X, &X};
/*@ ensures 1.0 == 1; assigns \nothing;*/ void f(); /*@ lemma foo: 1.0 == (float)1; */
void f() { double B; }
true
5
5
void f() { double B; }
/*@ ensures 1.0 == 1; assigns \nothing;*/ void f(); /*@ lemma foo: 1.0 == (float)1; */
frama_c_files_v2/test_frama_c_10.c
/*@ predicate dom{L}(int k,int n) = k >= 0 && k <= n - 1; */ /*@ requires A: n >= 0 && \valid (a +(0.. n-1)); requires B: dom( i, n ) && dom( j, n ); assigns a[i], a[j]; ensures \old(a[i]) == a[j] && \old(a[j]) == a[i]; ensures \forall int i1; dom(i1,n) ==> \exists int i2; dom(i2,n) && (a[i1] == \old(a[i2])); */ void swap3(int *a, int n, int i, int j) { int temp = a[i]; a[i] = a[j]; a[j] = temp; }
/*@ predicate dom{L}(int k,int n) = k >= 0 && k <= n - 1; */ /*@ requires A: n >= 0 && \valid (a +(0.. n-1)); requires B: dom( i, n ) && dom( j, n ); assigns a[i], a[j]; ensures \old(a[i]) == a[j] && \old(a[j]) == a[i]; ensures \forall int i1; dom(i1,n) ==> \exists int i2; dom(i2,n) && (a[i1] == \old(a[i2])); */
void swap3(int *a, int n, int i, int j) { int temp = a[i]; a[i] = a[j]; a[j] = temp; }
true
10
10
void swap3(int *a, int n, int i, int j) { int temp = a[i]; a[i] = a[j]; a[j] = temp; }
/*@ predicate dom{L}(int k,int n) = k >= 0 && k <= n - 1; */ /*@ requires A: n >= 0 && \valid (a +(0.. n-1)); requires B: dom( i, n ) && dom( j, n ); assigns a[i], a[j]; ensures \old(a[i]) == a[j] && \old(a[j]) == a[i]; ensures \forall int i1; dom(i1,n) ==> \exists int i2; dom(i2,n) && (a[i1] == \old(a[i2])); */
frama_c_files_v2/test_frama_c_2477.c
/* public interface */ /*@ assigns \nothing; @ ensures \result >= 0; @*/ int gen() { return 0; }
/*@ assigns \nothing; @ ensures \result >= 0; @*/
int gen() { return 0; }
true
4
4
int gen() { return 0; }
/*@ assigns \nothing; @ ensures \result >= 0; @*/
frama_c_files_v2/test_frama_c_1922.c
/*@ requires \valid_read(p+(0..n-1)); @ ensures \result > 0; @ assigns \nothing; @ */ int somefun(char *p, int n) { return 1; }
/*@ requires \valid_read(p+(0..n-1)); @ ensures \result > 0; @ assigns \nothing; @ */
int somefun(char *p, int n) { return 1; }
true
4
4
int somefun(char *p, int n) { return 1; }
/*@ requires \valid_read(p+(0..n-1)); @ ensures \result > 0; @ assigns \nothing; @ */
frama_c_files_v2/test_frama_c_2616.c
/*@ requires n > 0; requires \valid_read(arr + (0..n-1)); ensures \forall integer i; 0 <= i < n ==> \result >= arr[i]; */ int arraymax(int arr[], int n) { int max = arr[0]; /*@ loop invariant 1 <= j <= n; loop invariant \forall integer i; 0 <= i < j ==> max >= arr[i]; loop invariant max >= arr[0]; loop assigns j, max; loop variant n - j; */ for (int j=1; j<n; j++) { if (arr[j] > max) max = arr[j]; } return max; }
/*@ requires n > 0; requires \valid_read(arr + (0..n-1)); ensures \forall integer i; 0 <= i < n ==> \result >= arr[i]; */
int arraymax(int arr[], int n) { int max = arr[0]; /*@ loop invariant 1 <= j <= n; loop invariant \forall integer i; 0 <= i < j ==> max >= arr[i]; loop invariant max >= arr[0]; loop assigns j, max; loop variant n - j; */ for (int j=1; j<n; j++) { if (arr[j] > max) max = arr[j]; } return max; }
true
16
16
int arraymax(int arr[], int n) { int max = arr[0]; /*@ loop invariant 1 <= j <= n; loop invariant \forall integer i; 0 <= i < j ==> max >= arr[i]; loop invariant max >= arr[0]; loop assigns j, max; loop variant n - j; */ for (int j=1; j<n; j++) { if (arr[j] > max) max = arr[j]; } return max; }
/*@ requires n > 0; requires \valid_read(arr + (0..n-1)); ensures \forall integer i; 0 <= i < n ==> \result >= arr[i]; */
frama_c_files_v2/test_frama_c_739.c
/*@ requires 0 <= n <= 1000; ensures \result == n*n; assigns \nothing; */ int oddsum(int n) { int sum=0; /*@ loop invariant 0<=i<=n; loop invariant sum==i*i; loop assigns i, sum; loop variant n-i; */ for(int i=0;i<n;i++) { sum += i*2 + 1; } return sum; }
/*@ requires 0 <= n <= 1000; ensures \result == n*n; assigns \nothing; */
int oddsum(int n) { int sum=0; /*@ loop invariant 0<=i<=n; loop invariant sum==i*i; loop assigns i, sum; loop variant n-i; */ for(int i=0;i<n;i++) { sum += i*2 + 1; } return sum; }
true
17
17
int oddsum(int n) { int sum=0; /*@ loop invariant 0<=i<=n; loop invariant sum==i*i; loop assigns i, sum; loop variant n-i; */ for(int i=0;i<n;i++) { sum += i*2 + 1; } return sum; }
/*@ requires 0 <= n <= 1000; ensures \result == n*n; assigns \nothing; */
frama_c_files_v2/test_frama_c_2078.c
/* run.config EXECNOW: make tests/aorai/Aorai_test.cmxs OPT: -aorai-automata tests/aorai/test_boucle_rechercheTableau.ya -aorai-test 1 -aorai-acceptance -load-module tests/aorai/Aorai_test.cmxs -aorai-test-number @PTEST_NUMBER@ */ /*@ requires \valid(t+(0..max)); @ requires max>=0; @ requires max < 2147483647; @ ensures 0<=\result && \result<=max || \result==-1 ; @ ensures 0<=\result && \result<=max ==> t[\result]==val; @ ensures \result==-1 ==> (\forall integer j; 0<=j<=max ==> t[j]!=val); @ assigns \nothing; */ int isPresent(int t[], int max, int val) { int i=0; /*@ loop invariant inv : @ 0<=i<=max+1 @ && \valid(t+(0..max)) @ && max>=0 @ && (\forall integer j; 0<=j<i ==> t[j]!=val); @ loop assigns i; @ loop variant v : max-i ; */ while (i<max+1 && t[i]!=val) { i++; } if(i<=max && t[i]==val) return i; return -1; } /*@ assigns \nothing; */ void foo(){} /*@ assigns \nothing; */ int main(int argc, char** argv) { int tab[]={10,20,33,15}; int r=isPresent(tab, 3, 33); if (r==-1) foo(); return 1; }
/*@ requires \valid(t+(0..max)); @ requires max>=0; @ requires max < 2147483647; @ ensures 0<=\result && \result<=max || \result==-1 ; @ ensures 0<=\result && \result<=max ==> t[\result]==val; @ ensures \result==-1 ==> (\forall integer j; 0<=j<=max ==> t[j]!=val); @ assigns \nothing; */
int isPresent(int t[], int max, int val) { int i=0; /*@ loop invariant inv : @ 0<=i<=max+1 @ && \valid(t+(0..max)) @ && max>=0 @ && (\forall integer j; 0<=j<i ==> t[j]!=val); @ loop assigns i; @ loop variant v : max-i ; */ while (i<max+1 && t[i]!=val) { i++; } if(i<=max && t[i]==val) return i; return -1; }
true
17
17
int isPresent(int t[], int max, int val) { int i=0; /*@ loop invariant inv : @ 0<=i<=max+1 @ && \valid(t+(0..max)) @ && max>=0 @ && (\forall integer j; 0<=j<i ==> t[j]!=val); @ loop assigns i; @ loop variant v : max-i ; */ while (i<max+1 && t[i]!=val) { i++; } if(i<=max && t[i]==val) return i; return -1; }
/*@ requires \valid(t+(0..max)); @ requires max>=0; @ requires max < 2147483647; @ ensures 0<=\result && \result<=max || \result==-1 ; @ ensures 0<=\result && \result<=max ==> t[\result]==val; @ ensures \result==-1 ==> (\forall integer j; 0<=j<=max ==> t[j]!=val); @ assigns \nothing; */
frama_c_files_v2/test_frama_c_2078.c
/* run.config EXECNOW: make tests/aorai/Aorai_test.cmxs OPT: -aorai-automata tests/aorai/test_boucle_rechercheTableau.ya -aorai-test 1 -aorai-acceptance -load-module tests/aorai/Aorai_test.cmxs -aorai-test-number @PTEST_NUMBER@ */ /*@ requires \valid(t+(0..max)); @ requires max>=0; @ requires max < 2147483647; @ ensures 0<=\result && \result<=max || \result==-1 ; @ ensures 0<=\result && \result<=max ==> t[\result]==val; @ ensures \result==-1 ==> (\forall integer j; 0<=j<=max ==> t[j]!=val); @ assigns \nothing; */ int isPresent(int t[], int max, int val) { int i=0; /*@ loop invariant inv : @ 0<=i<=max+1 @ && \valid(t+(0..max)) @ && max>=0 @ && (\forall integer j; 0<=j<i ==> t[j]!=val); @ loop assigns i; @ loop variant v : max-i ; */ while (i<max+1 && t[i]!=val) { i++; } if(i<=max && t[i]==val) return i; return -1; } /*@ assigns \nothing; */ void foo(){} /*@ assigns \nothing; */ int main(int argc, char** argv) { int tab[]={10,20,33,15}; int r=isPresent(tab, 3, 33); if (r==-1) foo(); return 1; }
/*@ requires \valid(t+(0..max)); @ requires max>=0; @ requires max < 2147483647; @ ensures 0<=\result && \result<=max || \result==-1 ; @ ensures 0<=\result && \result<=max ==> t[\result]==val; @ ensures \result==-1 ==> (\forall integer j; 0<=j<=max ==> t[j]!=val); @ assigns \nothing; */ int isPresent(int t[], int max, int val) { int i=0; /*@ loop invariant inv : @ 0<=i<=max+1 @ && \valid(t+(0..max)) @ && max>=0 @ && (\forall integer j; 0<=j<i ==> t[j]!=val); @ loop assigns i; @ loop variant v : max-i ; */ while (i<max+1 && t[i]!=val) { i++; } if(i<=max && t[i]==val) return i; return -1; } /*@ assigns \nothing; */
void foo(){}
true
20
20
void foo(){}
/*@ requires \valid(t+(0..max)); @ requires max>=0; @ requires max < 2147483647; @ ensures 0<=\result && \result<=max || \result==-1 ; @ ensures 0<=\result && \result<=max ==> t[\result]==val; @ ensures \result==-1 ==> (\forall integer j; 0<=j<=max ==> t[j]!=val); @ assigns \nothing; */ int isPresent(int t[], int max, int val) { int i=0; /*@ loop invariant inv : @ 0<=i<=max+1 @ && \valid(t+(0..max)) @ && max>=0 @ && (\forall integer j; 0<=j<i ==> t[j]!=val); @ loop assigns i; @ loop variant v : max-i ; */ while (i<max+1 && t[i]!=val) { i++; } if(i<=max && t[i]==val) return i; return -1; } /*@ assigns \nothing; */
frama_c_files_v2/test_frama_c_468.c
/*@ requires \valid_read(a + (0..n-1)); requires n > 0; ensures \forall integer k; 0 <= k < n ==> \result >= a[k]; ensures \exists integer k; 0 <= k < n && \result == a[k]; assigns \nothing; */ int arraymax(int* a, int n) { int i = 1; int max = a[0]; /*@ loop invariant \forall integer k; 0 <= k < n ==> (k < i ==> max >= a[k]); loop invariant \exists integer k; 0 <= k < i && max == a[k]; loop invariant 0 <= i <= n; loop assigns i,max; loop variant n - i; */ while (i < n) { // Beginning of loop if (max < a[i]) max = a[i]; i = i + 1; // End of loop: Loop invariant comes here } return max; }
/*@ requires \valid_read(a + (0..n-1)); requires n > 0; ensures \forall integer k; 0 <= k < n ==> \result >= a[k]; ensures \exists integer k; 0 <= k < n && \result == a[k]; assigns \nothing; */
int arraymax(int* a, int n) { int i = 1; int max = a[0]; /*@ loop invariant \forall integer k; 0 <= k < n ==> (k < i ==> max >= a[k]); loop invariant \exists integer k; 0 <= k < i && max == a[k]; loop invariant 0 <= i <= n; loop assigns i,max; loop variant n - i; */ while (i < n) { // Beginning of loop if (max < a[i]) max = a[i]; i = i + 1; // End of loop: Loop invariant comes here } return max; }
true
18
18
int arraymax(int* a, int n) { int i = 1; int max = a[0]; /*@ loop invariant \forall integer k; 0 <= k < n ==> (k < i ==> max >= a[k]); loop invariant \exists integer k; 0 <= k < i && max == a[k]; loop invariant 0 <= i <= n; loop assigns i,max; loop variant n - i; */ while (i < n) { // Beginning of loop if (max < a[i]) max = a[i]; i = i + 1; // End of loop: Loop invariant comes here } return max; }
/*@ requires \valid_read(a + (0..n-1)); requires n > 0; ensures \forall integer k; 0 <= k < n ==> \result >= a[k]; ensures \exists integer k; 0 <= k < n && \result == a[k]; assigns \nothing; */
frama_c_files_v2/test_frama_c_2496.c
/*@ requires 1000>taille>0; requires \valid(t+(0..taille-1)); ensures \forall integer i; 0<=i<taille ==> t[i] == (i*2) ; ensures \forall integer i; 0<=i<taille-1 ==> t[i]<=t[i+1]; */ void doubleint(int t[],int taille) { // void double() --> not possible since datatype! /*@ loop invariant 0<=i<=taille; loop invariant \forall integer j; 0<=j<i ==> t[j] == (j*2) ; loop invariant \forall integer j; 0<=j<i-1 ==> t[j]<=t[j+1]; loop assigns t[0..taille-1],i; loop variant taille-i; */ for(int i=0;i<taille;i++) { t[i]=i*2; } }
/*@ requires 1000>taille>0; requires \valid(t+(0..taille-1)); ensures \forall integer i; 0<=i<taille ==> t[i] == (i*2) ; ensures \forall integer i; 0<=i<taille-1 ==> t[i]<=t[i+1]; */
void doubleint(int t[],int taille) { // void double() --> not possible since datatype! /*@ loop invariant 0<=i<=taille; loop invariant \forall integer j; 0<=j<i ==> t[j] == (j*2) ; loop invariant \forall integer j; 0<=j<i-1 ==> t[j]<=t[j+1]; loop assigns t[0..taille-1],i; loop variant taille-i; */ for(int i=0;i<taille;i++) { t[i]=i*2; } }
true
19
19
void doubleint(int t[],int taille) { // void double() --> not possible since datatype! /*@ loop invariant 0<=i<=taille; loop invariant \forall integer j; 0<=j<i ==> t[j] == (j*2) ; loop invariant \forall integer j; 0<=j<i-1 ==> t[j]<=t[j+1]; loop assigns t[0..taille-1],i; loop variant taille-i; */ for(int i=0;i<taille;i++) { t[i]=i*2; } }
/*@ requires 1000>taille>0; requires \valid(t+(0..taille-1)); ensures \forall integer i; 0<=i<taille ==> t[i] == (i*2) ; ensures \forall integer i; 0<=i<taille-1 ==> t[i]<=t[i+1]; */
frama_c_files_v2/test_frama_c_2629.c
/*@ requires \valid(t+(0..n-1)) && n>0; // assigns \nothing; ensures (\forall integer i; 0<=i<n ==> t[i] == t[n-i-1]) ==> \result==1; ensures (\exists integer i; 0<=i<n && t[i] != t[n-i-1]) ==> \result==0; */ int palindrome(int t[], int n){ /*@ loop invariant 0<=i<=n/2; loop invariant \forall integer j; 0<=j<i ==> t[j] == t[n - j - 1]; loop assigns i; loop variant n/2-i; */ for (int i = 0; i < n / 2; i++) { if (t[i] != t[n - i - 1]) return 0; } return 1; }
/*@ requires \valid(t+(0..n-1)) && n>0; // assigns \nothing; ensures (\forall integer i; 0<=i<n ==> t[i] == t[n-i-1]) ==> \result==1; ensures (\exists integer i; 0<=i<n && t[i] != t[n-i-1]) ==> \result==0; */
int palindrome(int t[], int n){ /*@ loop invariant 0<=i<=n/2; loop invariant \forall integer j; 0<=j<i ==> t[j] == t[n - j - 1]; loop assigns i; loop variant n/2-i; */ for (int i = 0; i < n / 2; i++) { if (t[i] != t[n - i - 1]) return 0; } return 1; }
true
17
17
int palindrome(int t[], int n){ /*@ loop invariant 0<=i<=n/2; loop invariant \forall integer j; 0<=j<i ==> t[j] == t[n - j - 1]; loop assigns i; loop variant n/2-i; */ for (int i = 0; i < n / 2; i++) { if (t[i] != t[n - i - 1]) return 0; } return 1; }
/*@ requires \valid(t+(0..n-1)) && n>0; // assigns \nothing; ensures (\forall integer i; 0<=i<n ==> t[i] == t[n-i-1]) ==> \result==1; ensures (\exists integer i; 0<=i<n && t[i] != t[n-i-1]) ==> \result==0; */
frama_c_files_v2/test_frama_c_662.c
/* * A simple string matching * Takuo Watanabe (Tokyo Institute of Technology) * * This file can be successfully verified using Frama-C with Jessie plugin. * Frama-C Carbon-20110201 * Alt-Ergo 0.92.2 / CVC3 2.2 */ /*@ predicate MatchAt{L}(char *t, char *p, integer k, integer m) = @ \forall integer l; 0 <= l < m ==> t[k + l] == p[l]; @*/ /*@ predicate Match{L}(char *t, integer n, char *p, integer m) = @ \exists integer k; 0 <= k <= n - m && MatchAt(t, p, k, m); @*/ // Needed to prove (in ATP) that the loop variant >= 0 /*@ lemma nzmul: @ \forall integer x, y; x >= 0 ==> y >= 0 ==> x * y >= 0; @*/ /*@ requires n >= 0 && \valid(t+(0..n-1)); @ requires m >= 0 && \valid(p+(0..m-1)); @ assigns \nothing; @ behavior success: @ assumes Match(t, n, p, m); @ ensures 0 <= \result <= n - m && MatchAt(t, p, \result, m); @ ensures \forall integer k; @ 0 <= k < \result ==> !MatchAt(t, p, k, m); @ behavior failure: @ assumes !Match(t, n, p, m); @ ensures \result == -1; @ complete behaviors success, failure; @ disjoint behaviors success, failure; @*/ int smatch (char t[], int n, char p[], int m) { int i = 0, j = 0; /*@ loop invariant 0 <= i <= n && 0 <= j <= m; @ loop invariant i >= j; @ loop invariant MatchAt(t, p, i - j, j); @ loop invariant \forall integer k; 0 <= k < i - j ==> !MatchAt(t, p, k, m); @ loop assigns i, j; @ loop variant m * (n - (i - j)) + (m - j); @*/ while (i < n && j < m) { if (t[i] == p[j]) { i++; j++; } else { i = i - j + 1; j = 0; } } return j == m ? i - j : -1; }
/*@ predicate MatchAt{L}(char *t, char *p, integer k, integer m) = @ \forall integer l; 0 <= l < m ==> t[k + l] == p[l]; @*/ /*@ predicate Match{L}(char *t, integer n, char *p, integer m) = @ \exists integer k; 0 <= k <= n - m && MatchAt(t, p, k, m); @*/ // Needed to prove (in ATP) that the loop variant >= 0 /*@ lemma nzmul: @ \forall integer x, y; x >= 0 ==> y >= 0 ==> x * y >= 0; @*/ /*@ requires n >= 0 && \valid(t+(0..n-1)); @ requires m >= 0 && \valid(p+(0..m-1)); @ assigns \nothing; @ behavior success: @ assumes Match(t, n, p, m); @ ensures 0 <= \result <= n - m && MatchAt(t, p, \result, m); @ ensures \forall integer k; @ 0 <= k < \result ==> !MatchAt(t, p, k, m); @ behavior failure: @ assumes !Match(t, n, p, m); @ ensures \result == -1; @ complete behaviors success, failure; @ disjoint behaviors success, failure; @*/
int smatch (char t[], int n, char p[], int m) { int i = 0, j = 0; /*@ loop invariant 0 <= i <= n && 0 <= j <= m; @ loop invariant i >= j; @ loop invariant MatchAt(t, p, i - j, j); @ loop invariant \forall integer k; 0 <= k < i - j ==> !MatchAt(t, p, k, m); @ loop assigns i, j; @ loop variant m * (n - (i - j)) + (m - j); @*/ while (i < n && j < m) { if (t[i] == p[j]) { i++; j++; } else { i = i - j + 1; j = 0; } } return j == m ? i - j : -1; }
true
31
31
int smatch (char t[], int n, char p[], int m) { int i = 0, j = 0; /*@ loop invariant 0 <= i <= n && 0 <= j <= m; @ loop invariant i >= j; @ loop invariant MatchAt(t, p, i - j, j); @ loop invariant \forall integer k; 0 <= k < i - j ==> !MatchAt(t, p, k, m); @ loop assigns i, j; @ loop variant m * (n - (i - j)) + (m - j); @*/ while (i < n && j < m) { if (t[i] == p[j]) { i++; j++; } else { i = i - j + 1; j = 0; } } return j == m ? i - j : -1; }
/*@ predicate MatchAt{L}(char *t, char *p, integer k, integer m) = @ \forall integer l; 0 <= l < m ==> t[k + l] == p[l]; @*/ /*@ predicate Match{L}(char *t, integer n, char *p, integer m) = @ \exists integer k; 0 <= k <= n - m && MatchAt(t, p, k, m); @*/ // Needed to prove (in ATP) that the loop variant >= 0 /*@ lemma nzmul: @ \forall integer x, y; x >= 0 ==> y >= 0 ==> x * y >= 0; @*/ /*@ requires n >= 0 && \valid(t+(0..n-1)); @ requires m >= 0 && \valid(p+(0..m-1)); @ assigns \nothing; @ behavior success: @ assumes Match(t, n, p, m); @ ensures 0 <= \result <= n - m && MatchAt(t, p, \result, m); @ ensures \forall integer k; @ 0 <= k < \result ==> !MatchAt(t, p, k, m); @ behavior failure: @ assumes !Match(t, n, p, m); @ ensures \result == -1; @ complete behaviors success, failure; @ disjoint behaviors success, failure; @*/
frama_c_files_v2/test_frama_c_2224.c
/*@ requires 0 <= n <= 1000; ensures \result == n*(n-1)/2; */ int sum(int n){ int sum=0; /*@ loop invariant 0<=i<=n; loop invariant sum == i*(i-1)/2; loop assigns i, sum; loop variant n-i; */ for (int i=0;i<n;i++) sum += i; return sum; }
/*@ requires 0 <= n <= 1000; ensures \result == n*(n-1)/2; */
int sum(int n){ int sum=0; /*@ loop invariant 0<=i<=n; loop invariant sum == i*(i-1)/2; loop assigns i, sum; loop variant n-i; */ for (int i=0;i<n;i++) sum += i; return sum; }
true
13
13
int sum(int n){ int sum=0; /*@ loop invariant 0<=i<=n; loop invariant sum == i*(i-1)/2; loop assigns i, sum; loop variant n-i; */ for (int i=0;i<n;i++) sum += i; return sum; }
/*@ requires 0 <= n <= 1000; ensures \result == n*(n-1)/2; */